please when I send u this math explain it for me I'm only 12 and stuff is kinda hard to comprehend

Please When I Send U This Math Explain It For Me I'm Only 12 And Stuff Is Kinda Hard To Comprehend

Answers

Answer 1
The first operation is[tex]-14+(-42)[/tex]

First, we have to get rid of the parenthesis, to do that, we just multiply signs to get

[tex]-14-42[/tex]

Now, we sum these numbers since they have the same signs

[tex]-14-42=-56[/tex]

Therefore, the answer to (a) is -56.

The second operation is [tex]34+(-24)[/tex]

We get rid of the parenthesis

[tex]34-24[/tex]

Then, we subtract these numbers since they have different signs

[tex]34-24=10[/tex]

Therefore, the answer to (b) is 10.

The third operation is[tex]-7+10[/tex]

We just subtract these numbers since they have different signs

[tex]-7+10=3[/tex]

Therefore, the answer to (c) is 3.

The fourth operation is[tex]-50+45[/tex]

We just subtract

[tex]-50+45=-5[/tex]

Therefore, the answer to (d) is -5.

The last operation is[tex]8+88[/tex]

We just sum

[tex]8+88=96[/tex]

Therefore, the answer to (e) is 96.


Related Questions

Perform the indicated operation of multiplication or division on the rational expression and simply.

Answers

The rational expression is given as,

[tex]\frac{15x}{2y^3}\cdot\frac{12y^2}{5x}[/tex]

Performing the division and multiplication in the given rational expression,

[tex]\frac{15x}{2y^3}\cdot\frac{12y^2}{5x}=\frac{3\times6\times y^3}{y^2}[/tex][tex]\frac{3\times6\times y^3}{y^2}=\frac{18}{y}[/tex]

The rational expression after using the indicated operation we get,

[tex]\frac{18}{y}\text{.}[/tex]

1. (10 pts) The formula for calculating the distance, d, in miles that one can see to the horizon on aclear day is approximated by d = 1.22√x, where x, is the elevation in feet of a person's eyes.a. Approximate how far in miles can a person whose eyes are 5' 6" from the ground see tothe horizon when they are at sea-level. (Hint: Height is often measured with two units,feet and inches, but this formula does not allow for two units.) Figure out if you need toconvert to feet or inches and then do the conversion out as a multiplication problembefore you answer the question Round to the nearest hundredth if necessary.b. How far does the same person see when they are standing on top of an 8,000 footmountain? (Hint: Consider where are their eyes if the mountain is the given height)Round to the nearest hundredth if necessary.

Answers

[tex]\begin{gathered} a)2.86\:miles \\ b)109.12\:miles \end{gathered}[/tex]

1) We need to use one single unit to express the elevation of a person's eyes.

a)

[tex]5^{\prime}6"=5\:feet+6\:inches=66"=5.5^{\prime}[/tex]

Remember that 1 foot is equal to 12 inches. And dividing 66" by 12 yields 5.5'

Now, let's plug into the formula we've been given:

[tex]d=1.22\sqrt{5.5}\Rightarrow d=2.86\:miles[/tex]

b) Now, let's bear in mind that this same person has reached the top of a mountain, and now he's at 8,000 feet high:

[tex]d=1.22\sqrt{8000}\Rightarrow d=109.12\:miles[/tex]

Note that x, is always given in feet, as well as, d is in miles.

There were 18 students in a class taking a test. 4 students did pass the test. What percent did not pass the test.

Answers

Answer

Percent of students who did not pass the test = 77.8%

Explanation

The percent of an event is given as

[tex]\begin{gathered} \text{Percent of an event} \\ =\frac{\text{Number of elements in the event}}{Total\text{ number of elements}}\times100 \end{gathered}[/tex]

For this question,

Percent of the event = Percent who did not pass the test = ?

Number of elements in the event

= Number of students who did not pass the test

= (Total number of students) - (Number of students who passed the test)

= 18 - 4

= 14

Total number of elements = Total number of students in the class = 18

Percent of students who did not pass the test

= (14/18) × 100%

= 0.778 × 100%

= 77.8%

Hope this Helps!!!

What is the value of the expression below?2,816 x 714,57214,67219,61219,712

Answers

The given expression is

[tex]2,816\times7[/tex]

We just have to multiply.

[tex]2,816\times7=19,712[/tex]Hence, the right answer is D.

PLEASE HELP I REALLY NEED AN ANSWER ALSO ONLY ANSWER IF YOUR GOING TO GIVE A STEP BY STEP SOLUTION

Answers

The answer of the given expression is 80.

Exponents

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

For example:-

[tex]5^4[/tex] can be written as 5*5*5*5.

Here 4 is the exponent or power and 5 is the base.

There are some laws of exponents which we use while calculating the answer to such expressions.

Given expression:-

[tex]\frac{12^7*30^5}{25^2*8^5*27^4}[/tex]

We have to simplify the given solution using the laws of exponents.

First we will divide them in their prime factors.

We know that,

[tex](x^a)^b=x^{ab}[/tex]

We can write,

[tex]12^7 = (2^2)^7*3^7=2^{14}*3^7[/tex]

[tex]30^5=2^5*3^5*5^5[/tex]

[tex]25^2=(5^2)^2=5^4[/tex]

[tex]8^5=(2^3)^5=2^{15}[/tex]

[tex]27^4=(3^3)^4=3^{12}[/tex]

Hence, we can write the given expression as follows,

[tex]\frac{2^{14}*3^7*2^5*3^5*5^5}{5^4*2^{15}*3^{12}}[/tex]

Also, we know that,

[tex]x^a*x^b=x^{a+b}\\x^a/x^b=x^{a-b}[/tex]

We can write,

[tex]{2^{(14+5-15)}*3^{(7+5-12)}*5^{(5-4)}}[/tex]

[tex]2^4*3^0*5^1[/tex] = 16*1*5 = 80

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Does the following table show a proportional relationship? 8 h 3 9 6 36 9 81 O Yes No

Answers

Proportional relationships are relationships between two variables where their ratios are equivalent.

From the table given;

g:h are respectively;

[tex]\begin{gathered} 3\colon9=1\colon3 \\ 6\colon36=1\colon6 \\ 9\colon81=1\colon2 \end{gathered}[/tex]

Since the ratios above are not equivalent, their relationship is not proportional.

Hence, the correct option is B

in exponential growth functions the base of the exponent must be greater than 1.how would the function change if the base of the exponent were1? how would the function change if the base of the exponents were between 0 and 1

Answers

It’s now 10 to p 1 =11

(b) Construct a 90% confidence interval for the proportion of cell phone owners aged 18 - 24 who have an Android phone. Round the answers to at least three decimal places.
A 90% confidence interval for the proportion of cell phone owners aged 18 - 24
who have an Android phone is

SEE PHOTO

Answers

A 90% confidence interval for the proportion of cell phone owners aged 18 - 24 who have an Android phone is 0.503 < p < 0.397.

In the given question,

We have to construct a 90% confidence interval for the proportion of cell phone owners aged 18 - 24 who have an Android phone.

A 90% confidence interval for the proportion of cell phone owners aged 18 - 24 who have an Android phone is

..............< p <...............

We have to construct the 90% confidence interval.

From the given question we know that among 240 cell phone owners aged 18 - 24 surveyed, 108 said their phone was an android phone.

So the total number of cell phone owners aged 18 - 24 is 240.

So n=240

From them 108 have an android phone.

So x=108

Estimation of sample proportion([tex]\hat p[/tex]) = x/n

Now putting the value

Estimation of sample proportion([tex]\hat p[/tex]) = 108/240

Estimation of sample proportion([tex]\hat p[/tex]) = 0.45

Now the construct a 90% confidence interval for the proportion of cell phone owners aged 18 - 24 who have an Android phone

C.I. = [tex](\hat p \pm z_{\alpha /2}\sqrt\frac{\hat p(1-\hat p)}{n}})[/tex]

As we know that

[tex]\hat p=0.45[/tex]

Now finding the value of [tex]z_{\alpha /2}[/tex]

We have to find the 90% confidence interval. We can write 90% as 90/100 = 0.90

So [tex]\alpha[/tex] = 1-0.90

So [tex]z_{\alpha /2}=z_{0.10 /2}[/tex]

[tex]z_{\alpha /2}=z_{0.05}[/tex]

From the standard z table

[tex]z_{0.05}[/tex] = 1.645

Now putting the value in the

C.I. =  [tex](\hat p \pm z_{\alpha /2}\sqrt\frac{\hat p(1-\hat p)}{n}})[/tex]

C.I. = [tex](0.45 \pm 1.645{\sqrt\frac{0.45(1-0.45)}{240}})[/tex]

Simplifying

C.I. = [tex](0.45 \pm 1.645{\sqrt\frac{0.45\times0.55}{240}})[/tex]

C.I. = [tex](0.45 \pm 1.645{\sqrt\frac{0.2475}{240}})[/tex]

C.I. = [tex](0.45 \pm 1.645\sqrt{0.001031})[/tex]

C.I. = [tex](0.45 \pm 1.645\times0.0321)[/tex]

C.I. = [tex](0.45 \pm 0.053)[/tex]

We can write it as

C.I. = {(0.45+0.053),(0.45-0.053)}

C.I. = (0.503,0.397)

Hence, a 90% confidence interval for the proportion of cell phone owners aged 18 - 24 who have an Android phone is

0.503 < p < 0.397.

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gabrielle opened a savings account and deposited $800.00 . the account earns 2% interest compounded annually.

Answers

We need the actual question. I can write the compounded interest accrued value equation for this, but if no question about number of years the deposit is kept, there is no question to be solved. Please continue the formulation of the question. What is it we need to find? what amount of money she needs to collect?

The formula for accrued value with compounded interest would be written as:

[tex]A=P(1+r)^t[/tex]

with the information on the account, we can write it as:

[tex]A=800(1+0.02)^t[/tex]

but we cannot do anything with it unless you give:

1) the time to keep the account collecting interest,

OR

2) the total amount of money she needs to obtain.

What is the value of that new bicycle she wants?

Well, you have the equation needed. If you don't give me more info on what is needed, I cannot help you solve the equation. We need an extra piece of information.

The information now provided is that the person wants to keep the savings account for 2 years. So we use t = 2 in the equation above to obtain the answer:

[tex]A=800(1.02)^2=832.32[/tex]

At the end of the two years she will have a total of $832.32

[tex]6x - 9y - 7x + - 6y[/tex]simplify please

Answers

6x - 9y - 7x + -6y

To simplify the expression add the like terms

The like terms are the terms which have the same variable and same degree

6x, -7x are like terms

-9y, -6y are like terms

So let us add them

(6x + -7x) + (-9y + -6y)

6 + -7 = -1

6x + -7x = -x

-9 + - 6 = -15

-9y + -6y = -15y

(6x + -7x) + (-9y + -6y) = -x + -15y

Remember (+)

Simplify the expression.

the expression negative one seventh j plus two fifths minus the expression three halves j plus seven fifteenths
negative 19 over 14 times j plus 13 over 15
negative 19 over 14 times j minus 13 over 15
negative 23 over 14 times j plus negative 1 over 15
23 over 14 times j plus 1 over 15

Answers

The correct option is negative 23 over 14 times j plus negative 1 over 15

Given,

The expression negative one seventh j plus two fifths minus the expression three halves j plus seven fifteenths

The expression; -1/7j + 2/5 - 3/2j + 7/15

negative one seventh j = - 1/7j

two fifths = 2/5

three halves j = 3/2 j

seven fifteenths = 7/15

Now,

Substitute the values;

- 1/7j + 2/5 - 3/2j - 7/15

- 1/7j - 3/2j + 2/5 - 7/15

-2j - 21j /14 + 6  7 /15

-23j/14 + -1/15

Therefore,

The correct option is negative 23 over 14 times j plus negative 1 over 15

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A box is filled with shoe boxes. Each shoe box has a volume of 1 cubic foot. Six shoe boxes can fit in each layer and the height of the box is 4 feet. What is the volume of the box?

Answers

shoe box = 1 cubic foot = 1 * 1 * 1

1 Layer: 6 shoe boxes -> Layer lenght = 6 feet, layer depht = 1 foot

Box height = 4 feet

Box volume = 6*4*1 = 24 feet

Solve for x
4x = -5
Put the answer in its simplest form.

Answers

Answer:

[tex] \sf x=-1.25 [/tex]

[tex]\sf--------------------------------------------------------------------- [/tex]

Step-by-step explanation:

4x = -5

Divide both sides by 4 to single out the variable

4x/4 = -5/4

x = -1.25

X=-1.25 should be the answer

A deep-dish pizza is cut into twelve equal slices. If you eat four slices, how manydegrees of pizza do you eat?240°120°45°90°

Answers

The shape of the pizza is circular. This means that the total angle possible is 360 degrees.

Since the pizza have 12 equal slices

Then each slice will represent

[tex]\frac{360}{12}=30^0[/tex]

Therefore, If you decide to eat 4 four slices, then

you will eat

[tex]4\times30^0=120^0[/tex]

Answer = 120 degrees

What is f(2) - f(0) answer choices:A) 1B) 2C) 3D) 4

Answers

Explanation

The points of the graph of a function f(x) have the form (x,f(x)). This means that the values of f(0) and f(2) are the y-values of the points in the graph that have 0 and 2 as their x-values. If you look at the graph you'll notice that the points (0,1) and (2,4) are part of the graph which implies that:

[tex]\begin{gathered} (0,f(0))=(0,1)\rightarrow f(0)=1 \\ (2,f(2))=(2,4)\rightarrow f(2)=4 \end{gathered}[/tex]

Then we get:

[tex]f(2)-f(0)=4-1=3[/tex]Answer

Then the answer is option C.

In △ABC, m∠A=45°. The altitude divides side AB into two parts of 20 and 21 units. Find BC.

Answers

The length of BC is 29 units (solved using trigonometry and its applications).

What is trigonometry?

Trigonometry (from Ancient Greek v (trgnon) 'triangle' and (métron)'measure') is a field of mathematics that explores the correlations between triangle side lengths and angles. The topic arose in the Hellenistic civilization during the third century BC from geometric applications to astronomical research. The Greeks concentrated on chord computation, whereas Indian mathematicians established the first-known tables of values for trigonometric ratios (also known as trigonometric functions) such as sine. Trigonometry has been used throughout history in geodesy, surveying, celestial mechanics, and navigation. Trigonometry is well-known for its many identities. These trigonometric identities are frequently used to rewrite trigonometrical expressions with the goal of simplifying an expression, finding a more usable form of an expression, or solving an equation.

Let the point where AB is cut through line from C be D

This can be solved using trigonometry and its applications.

In triangle ACD,

tan 45° = CD/AD

or, CD = tan 45° x AD

           = 1 x 20

            = 20 units

In triangle CDB,

tan Ф = CD/BD

or, Ф = tan⁻¹(CD/BD)

         = tan⁻¹(20/21)

         = 43.6°

so, sin 43.6° = CD/BC

or, BC = CD/sin 43.6°

           = 20/0.689

           = 29 units

The length of BC is 29 units.

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Answer:

29

Step-by-step explanation:

BC is a side of ACB, which is a 45 45 90 triangle. BC = AB/SQRT2

4. McKenzie wants to determine which ice cream option is the best choice. The chart below gives the description and prices for her options. Use the space below each item to record your findings. Place work below the chart. A scoop of ice cream is considered a perfect sphere and has a 2-inch diameter. A cone has a 2-inch diameter and a height of 4.5 inches. A cup, considered a right circular cylinder, has a 3-inch diameter and a height of 2 inches. a. Determine the volume of each choice. Use 3.14 to approximate pi. b. Determine which choice is the best value for her money. Explain your reasoning. (That means some division, you decide which.) $2.00 $3.00 $4.00 One scoop in a сир Two scoops in a cup Three scoops in a cup Half a scoop on a cone filled with ice cream A cup filled with ice cream (level to the top of the cup)

Answers

McKenzie wants to determine which ice cream option is the best choice.

Part (a)

Volume of Scoop:

A scoop of ice cream is considered a perfect sphere and has a 2-inch diameter.

The volume of the sphere is given by

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

Where r is the radius.

We know that radius is half of the diameter.

[tex]r=\frac{D}{2}=\frac{2}{2}=1[/tex]

So, the volume of a scoop of ice cream is

[tex]V_{\text{scoop}}=\frac{4}{3}\cdot3.14\cdot(1)^3=\frac{4}{3}\cdot3.14\cdot1=4.19\: in^3[/tex]

Therefore, the volume of a scoop of ice cream is 4.19 in³

Volume of Cone:

A cone has a 2-inch diameter and a height of 4.5 inches.

The volume of a cone is given by

[tex]V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]

Where r is the radius and h is the height of the cone.

We know that radius is half of the diameter.

[tex]r=\frac{D}{2}=\frac{2}{2}=1[/tex]

So, the volume of a cone of ice cream is

[tex]V_{\text{cone}}=\frac{1}{3}\cdot3.14\cdot(1)^2\cdot4.5=\frac{1}{3}\cdot3.14\cdot1^{}\cdot4.5=4.71\: in^3[/tex]

Therefore, the volume of a cone of ice cream is 4.71 in³

Volume of Cup:

A cup, considered a right circular cylinder, has a 3-inch diameter and a height of 2 inches.

The volume of a right circular cylinder is given by

[tex]V=\pi\cdot r^2\cdot h[/tex]

Where r is the radius and h is the height of the right circular cylinder.

We know that radius is half of the diameter.

[tex]r=\frac{D}{2}=\frac{3}{2}=1.5[/tex]

So, the volume of a cup of ice cream is

[tex]V_{\text{cup}}=3.14\cdot(1.5)^2\cdot2=3.14\cdot2.25\cdot2=14.13\: in^3[/tex]

Therefore, the volume of a cup of ice cream is 14.13 in³

Part (b)

Now let us compare the various given options and decide which option is the best value for money

Option 1:

The price of one scoop in a cup is $2

The volume of one scoop of ice cream is 4.19 in³

[tex]rate=\frac{4.19}{\$2}=2.095\: [/tex]

Option 2:

The price of two scoops in a cup is $3

The volume of one scoop of ice cream is 4.19 in³

[tex]rate=\frac{2\cdot4.19}{\$3}=2.793\: [/tex]

Option 3:

The price of three scoops in a cup is $4

The volume of one scoop of ice cream is 4.19 in³

[tex]rate=\frac{3\cdot4.19}{\$4}=3.1425[/tex]

Option 4:

The price of half a scoop in a cone is $2

The volume of one scoop of ice cream is 4.19 in³

The volume of one cone of ice cream is 4.71 in³

[tex]rate=\frac{\frac{4.19}{2}+4.71}{\$2}=\frac{2.095+4.71}{\$2}=\frac{6.805}{\$2}=3.4025[/tex]

Option 5:

The price of a cup filled with ice cream is $4

The volume of a cup is 14.13 in³

[tex]rate=\frac{14.13}{\$4}=3.5325[/tex]

As you can see, the option 5 (a cup filled with ice cream) has the highest rate (volume/$)

This means that option 5 provides the best value for money.

Therefore, McKenzie should choose "a cup filled with ice cream level to the top of cup" for the best value for money.

Find the equation for the line through points (-3,1) and (4,7) use y=Mx+b

Answers

A = (-3, 1) and B = (4,7)

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]m=\frac{7-1}{4-(-3)}=\frac{6}{7}[/tex][tex]y=\frac{6}{7}x+b[/tex]

Now, for b, using point B

[tex](7)=\frac{6}{7}(4)+b[/tex][tex]b=7-\frac{6}{7}(4)\rightarrow b=\frac{25}{7}[/tex][tex]y=\frac{6}{7}x+\frac{25}{7}[/tex]

The convex polygon below has 8 sides. Find the value of x.140°11801270153013401561170

Answers

[tex]x=135[/tex]

Explanation

The formula for calculating the sum of interior angles in a polygon is ( n − 2 ) × 180 ∘ where is the number of sides.

[tex](n-2)\cdot180=\text{ Sum of internal angles}[/tex]

Step 1

find the sum of the internal angles in the given polygon

Let

number of sides = 8

Now, replace

[tex]\begin{gathered} (n-2)\cdot180=\text{ Sum of internal angles} \\ (8-2)\cdot180=\text{ Sum of internal angles} \\ 6\cdot180=\text{Sum of internal angles} \\ 1080=\text{Sum of internal angles}\rightarrow equation(1) \end{gathered}[/tex]

Step 2

now, we have the other angles, so

sum of internal angles is:

[tex]\text{angle}1+\text{angle}2+\text{angle}3+\text{angle}4+\text{angle}5+\text{angle}6+\text{angle}7+\text{angle}8=\text{ sum of the internal angles}[/tex]

replace

[tex]\begin{gathered} 127+140+118+153+156+117+x+132=\text{ Sum of internal angles} \\ x+943=\text{Sum of internal angles}\rightarrow equation\text{ (2)} \end{gathered}[/tex]

hence

[tex]x+945=1080[/tex]

subtract 945 in both sides to solve for x

[tex]\begin{gathered} x+945=1080 \\ x+945-945=1080-945 \\ x=135 \end{gathered}[/tex]

i hope this helps you

I Need some help on this assignment Also the second half to the problem how much will be spent on the job from the 10 to 20th day

Answers

Explanation

[tex]f(x)=4.1x+1.9[/tex]

where x is the number of days since the start of the job

and f(x) is the rate of change

Step 1

a)find the total expenditure if the job takes 12 days

so, as x represents the number of days, just replace and calculate

let x= 12

[tex]\begin{gathered} f(x)=4.1x+1.9 \\ f(12)=4.1(12)+1.9 \\ f(12)=49.2+1.9 \\ f(12)=51.1 \end{gathered}[/tex]

so

a) 51.1

Step 2

now, let's find the total spent on the job from the 10 to 20th day

a) find the x value ( number of days since the job started)

x= 20 days-10dys= 10

so

x= 10

The ice skating rink charges $5 for a skate rental and $3 for every hour that you skate. What would be the equation you would use to determine how much you would need to pay?

Answers

If we use the variable t to represent the number of hours skating, the fixed price is $5 and the variable price is $3 per hour, that is, we have a variable cost of 3t.

So the final cost (variable C) is the sum of the fixed and variable costs:

[tex]C=5+3t[/tex]

can anyone help me i have a picture of my math question

Answers

Answer:

-8, -5, -2, 1, 4

Explanation:

The given sequence is an arithmetic sequence -8, -5, -2 ....

The nth term of the sequence is expressed as;

Tn = a+ (n-1)d

a is the first term = -8

d is the common difference = -5 -(-8) = -2-(-5)

d = -5+8 = -2+5 = 3

Get the 4th term;

n = 4

T4 = -8+(4-1)*(3)

T4 = -8+3(3)

T4 = -8+9

T4 = 1

Get the 5th term:

n = 5

T5 = -8 + (5-1)*3

T5 = -8+4(3)

T5 = -8 + 12

T5 = 4

Hence the next two terms of the sequence are 1 and 4

PLEASE HELP I JUST NEED TO KNOW THE POINTS AND HOW THE GRAPH LOOKS LIKE

Answers

You have the following function:

[tex]g(x)=2x^2-4x-16[/tex]

the x coordinate of the vertex is given by:

[tex]x=-\frac{b}{2a}[/tex]

in this case, a = 2 and b = -4. Replace these values into the previous expression and simplify:

[tex]x=-\frac{-4}{2(2)}=1[/tex]

next, replace the previous values of x into the function g(x):

[tex]\begin{gathered} g(1)=2(1)^2-4(1)-16 \\ g(1)=-18 \end{gathered}[/tex]

then, the vertex is (1,-18)

In order to graph, calculate another point for any value of x, for instance, for x = 0:

g(0) = 2(0)^2 - 4(0) - 16

fred had a tray of brownies for his birthday. he ate 1/6 of the brownies by himself and his family ate 1/3 of the brownies how many brownies did fred and his family eat altogether

Answers

We want to know how many brownmies did Fred and his family eat together.

We will call to the total of the brownies by 1. On this case, after Fred ate 1/3 of the brownies, he will have:

[tex]1-\frac{1}{3}=\frac{3-1}{3}=\frac{2}{3}[/tex]

This means that he has left 2/3 of the brownies. After his family ate 1/6 of the brownies:

[tex]\frac{2}{3}-\frac{1}{6}=\frac{4}{6}-\frac{1}{6}=\frac{3}{6}=\frac{1}{2}[/tex]

This means they will have left 1/2 of the tray of brownies, and that they ate half of it.

This is lines, functions and systems. Graph the line with slope 2/3 passing through the point (2, 1).

Answers

Note that the slope is expressed as :

[tex]\text{slope}=\frac{\text{rise}}{\text{run}}[/tex]

From the given, the slope is 2/3

[tex]\text{slope}=\frac{\text{rise}}{\text{run}}=\frac{2}{3}[/tex]

So it means that from the point (2,1)

You need to rise 2 units upward and run 3 units to the right

It will be look like this :

Next step is to connect these two points by drawing a line.

That's it, the line is in blue line.

In the past, Johnny got paid $111,180 annually. Since switching to a new career, he has been making 154.1% more. How much does Johnny make now?

Answers

The amount of money that Johnny makes now = $282,508.38

What is annual payment?

Annual payment is the type of payment that is done every 12 month and by the end of the year.

The initial annual payment received by Johnny= $111,180

The new career pays the rate of 154.1% more that is;

( 154.2% of $111,180 ) + $111,180 Which is;

= (154.1/100 × 111,180) + $111,180

= (17,132,838/100) + $111,180

= $ 171,328.38 + $111,180

= $282,508.38.

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I don’t know how to find the value of x. Geometry is so confusing too me, i can never understand it no matter how many times i re-read my instructions.

Answers

The value of x = 40°

Explanation:

To solve for x, we will use an illustration:

When two lines intersect, the angles opposite each other are vertical angles. Vertical angles are equal.

The angles marked in magenta are equal.

The angle by the right in magenta colour will also be 52°.

The sum of angles in a triangle = 180°

x° + 52° + 88° = 180°

x + 140 = 180

subtract 140 from both sides:

x + 140 - 140 = 180 - 140

x = 40°

how many millielters are in 1/5 liters

Answers

We know,

1 liter=1000 milliter.

So, millilters in 1/5 liters​ is,

[tex]\frac{1}{5}liter\times\frac{1000\text{ milliter}}{1\text{ liter}}=200\text{ milliter}[/tex]

Therefore, there are 200 milliters in 1/5 liters.

Rationalize the denominator and simplify the expression below. Show all steps and calculations to earn full credit. You may want to do this work by hand and upload an image of that written work rather than try to type it all out. \frac{8}{1- \sqrt[]{17} }

Answers

The Solution:

The given expression is

[tex]\frac{8}{1-\sqrt[]{17}}[/tex]

Rationalizing the expression with the conjugate of the denominator, we have

[tex]\frac{8}{1-\sqrt[]{17}}\times\frac{1+\sqrt[]{17}}{1+\sqrt[]{17}}[/tex]

This becomes

[tex]\frac{8(1+\sqrt[]{17})}{1^2-\sqrt[]{17^2}}[/tex][tex]\frac{8+8\sqrt[]{17}}{1-17}=\frac{8(1+\sqrt[]{17})}{-16}=-\frac{1+\sqrt[]{17}}{2}[/tex]

Thus, the correct answer is

[tex]-\frac{1+\sqrt[]{17}}{2}[/tex]

I need help please and thank you and you have to graph it

Answers

From the graph provided we can determine two points which are;

[tex]\begin{gathered} (x_1,y_1)=(0,-3) \\ (x_2,y_2)=(2,0) \end{gathered}[/tex]

For the equation of the line given in slope-intercept form which is;

[tex]y=mx+b[/tex]

We would begin by calculating the slope which is;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can now substitute the values shown above and we'll have;

[tex]\begin{gathered} m=\frac{(0-\lbrack-3\rbrack)}{2-0} \\ m=\frac{0+3}{2} \\ m=\frac{3}{2} \end{gathered}[/tex]

Now we have the slope of the line as 3/2, we can substitute this into the equation and we'll have;

[tex]\begin{gathered} y=mx+b \\ \text{Where;} \\ x=0,y=-3,m=\frac{3}{2} \end{gathered}[/tex]

We now have the equation as;

[tex]\begin{gathered} -3=\frac{3}{2}(0)+b \\ -3=0+b \\ b=-3 \end{gathered}[/tex]

We now have the y-intercept as -3. The equation now is;

[tex]\begin{gathered} \text{Substitute m and b into the equation,} \\ y=mx+b \\ y=\frac{3}{2}x-3 \end{gathered}[/tex]

The graph of this is now shown below;

We shall now draw lines to indicate the 'rise' and 'run' of this graph.

ANSWER

Observe carefully that the "Rise" is the movement along the y-axis (3 units), while the "Run" is the movement along the x-axis (2 units).

This clearly defines the slope of the equation that is;

[tex]\frac{\Delta y}{\Delta x}=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{3}{2}[/tex]

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