Mathematics High School

which integers represent each situation? a) a debt of $10b) 6 degrees below 0 c) deposit of $25 someone please help fast

Answers

Answer 1

An integer that represent the debt of $10 can be express below

[tex]-\text{ \$10}[/tex]

An integer that represent 6 degree below 0 is expressed below

[tex]0-6=\text{ -6 degre}e[/tex]

An integer that represent a deposit of $25 can be express below

[tex]+\text{ \$25= \$25}[/tex]

Related Questions

How is adding positive and negative integers different from adding only positive integers on a number line?

Answers

1) To understand how that works, let me draw a number line:

If we only add positive numbers like 2 +3 = 5, 6+8 =14, etc. we'll only get a positive result (right to the zero) on the number line, we are moving to the right

2) If we add positive and negative numbers, for example:

2 +(-3) =2 -3=-1

0+(-1)= -1

6+(-2)= 4

On the number line, we are starting from one point and moving to the left.

Please can someone help solve the attached:

Answers

The translation moves 5 units to the left and 2 units down, so we have:

c = -5

d = -2

How to find the values of C and D?

To identify the translation, let's follow a single vertex of the triangle.

The top vertex of triangle A is at (2, -3)

After a reflection about the x-axis only the y-value changes, so after the reflection the coordinates of that vertex will be:

(2, 3).

In now we apply the given translation, the new coordinates will be:

(2 + c, 3+ d)

And the coordinates of this vertex on triangle B is (-3, 1), so we have:

(2 + c, 3+ d) = (-3, 1)

2 + c = -3

c = -3 - 2 = -5

3 + d = 1

d = 1 - 3

d = -2

So the translation is defined by the values:

c = -5

d = -2

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Which angle is supplementary to ∠NPI?

five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees

∠IPK
∠NPL
∠MPN
∠LPM

Answers

Answer:

c. ∠MPN

Step-by-step explanation:

Supplementary angles sum to 180°.

(Note that supplementary angles don't have to be next to each other).

Given ∠NPI = 55.6°.

Therefore, to find the measure of the angle that is supplementary to ∠NPI, subtract the measure of ∠NPI from 180°:

⇒ 180° - ∠NPI = 180° - 55.6° = 124.4°.

The angle that measures 124.4° is ∠MPN.

Therefore, ∠MPN is supplementary to ∠NPI.

Jessy is looking to subscribe to seventeen magazine for fashion inspiration. Before registering Jessy wants to make sure this is within her budget. Jessy knows there is an initial sign-up fee and a monthly payment required for the subscription. If the monthly subscription fee is $10 and Jessy remembers having a ball on the 2nd month for $26 write an equation that represents the total cost of subscribing to seventeen magazine.

Answers

Don’t quote me on this, but I tried

F - subscription fee
B - Ball on 2nd month
C - seventeen magazine total cost

10f + 26b = c

Angle P in Triangle PQR has the same measure as Angle S in Triangle STU. Which other condition is necessary to prove that these triangles are similar?

Answers

△PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).

What is the congruency of triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.

So, to prove that △PQR ≅ △STU:

∠P = ∠S (Given)PQ = ST (Option B)∠Q = ∠T (Option D)

So, with these three conditions, △PQR ≅ △STU is under ASA condition.

Therefore, △PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).

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consider the following basket of goods: 15 lollipops, 10 bars of chocolate, four jars of peanut butter, and two ice-cream cakes. suppose that in 1999, each lollipop was 10 cents, each bar of chocolate was $1.50, each jar of peanut butter was $2.50, and each ice-cream cake was $7.99. in 2018, each lollipop was 80 cents, each bar of chocolate was $3.75, each jar of peanut butter was $4.25, and each ice-cream cake was 12.99. what was the value of the basket in 2018?

Answers

The value of the basket in 2018 was $92.48 if the basket contains 15 lollipops, 10 bars of chocolate, four jars of peanut butter, and two ice-cream cakes.

The value of the basket in 2018 can be calculated by using multiplication and addition.

First, we multiply the cost of each good in 2018 by the number of that good in the basket to calculate their total cost.

Lollipop: $0.80 × 15 = $12

Chocolate: $3.75 × 10 = $37.5

Peanut butter: $4.25 × 4 = $17

Ice-cream cake: $12.99 × 2 = $25.98

Now the value of the basket in 2018 can be calculated by adding these amounts of each good. Therefore;

Value of basket = $12 + $37.5 + $17 + $25.98

Value of basket = $92.48

Hence the value of the basket in 2018 is $92.48

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if a number decreases by 8, the result is -21.What is the number?

Answers

Answer: it would be -13

Step-by-step explanation: -13-8=-21

x square root 7x + 10
factor the equation

algerbra 2

Answers

Answer:

Step-by-step explanation:

−

Explanation:

We could right the equation in another form using brackets.

(

)

(

)

In order to get two numbers to multiply and give 0, at least one number has to be 0.

a stands for the first bracket and b for the second.

a x b = 0

a=0 or b=0 to make this equation valid.

Therefore x= -2 or x= -5 because -2+2=0 and -5+5=0 according to both brackets.

What four consecutive integers have a sum of 86. Name them

Answers

The four consecutive integers are 20, 21, 22, and 23 whose sum is 86.

What do you mean by integer no?

using sequential means.

Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.

86 is obtained by adding together the four consecutive integers x, (x+1), (x+2), and (x+3)

x + (x+1), (x+2), and (x+3) = 86

the smallest one, x, is now solved for: 4x + 6 = 86

The numbers are 20, 21, 22, and 23, because 4x = 80 x = 20.

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Answer:

20, 21, 22 & 23

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) + (x + 2) + (x + 3) = 86

→ 4x + 6 = 86

Now the the value of x will be,

→ 4x + 6 = 86

→ 4x = 86 - 6

→ x = 80/4

→ [ x = 20 ]

Then the required numbers will be,

→ x = 20

→ x + 1 = 20 + 1 = 21

→ x + 2 = 20 + 2 = 22

→ x + 3 = 20 + 3 = 23

Hence, numbers are 20, 21, 22, 23.

11. FINANCIAL LITERACY The surf shop has a weekly overhead of $2300. b. How many skimboards and longboards must the shop sell each week to make a profit a. Write an inequality to represent the number of skimboards and longboards the shop sells each week to make a profit.
Skimboard costs 115 longboard costs 685

Answers

It would be 678 because if is the long board

Steve stopped for a drink of water when he had completed 60% of his jog. He had traveled 3 miles. What is the total distance Steve jogged?

2 miles
3 miles
4 miles
5 miles
6 miles

Answers

The total distance Steve jogged is 5 miles.

what is percent?

The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Given:

Steve completed 60% of the Jog.

Also, he travelled 3 miles.

Let the total distance he travelled be x miles.

Then,

60% of x =3

60/100 x= 3

x= 3 x 100 / 60

x= 300/60

x= 5 miles.

Hence, total he had to jog 5 miles.

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Low flow showerheads use 2 1/2 gallons of water per minute. If family members shower a total of 2 1/3 hours per week, how much water does the family use for showers each week? Write an expression that represents the problem. Then solve the problem.

Answers

The expression that represents the situation is 5/2(x) and the family uses 350 gallons of water for each week.

Showerheads:

The showerhead is a bathroom fixture that directs the flow of water in a bathroom shower.

Given,

Low flow showerheads use 2 1/2 gallons of water per minute.

And the family uses 2 1/3 hours per week.

Here we need to find the expression for this situation and we also need to find the amount of water used by the family.

First, we have to convert the mixed fraction into improper fraction, then we get,

2 1/2 =5/2

So, for one minute the showerhead use 5/2 gallon of water.

So, the expression for this situation is,

=> 5/2(x).

Where x represents the amount of time in minutes.

Now, we know that the family uses the showerhead for 2 1/3 hours per week.

So, we have to convert this mixed fraction into improper fraction,

2 1/3 = 7/3

We know that, 1 hour = 60 minutes.

So, 7/3 hours is equal to,

=> 7/3 x 60 = 7 x 20 = 140

Then, the amount of water used by the family is,

=> 5/2 (140)

=> 5 x 70

=> 350

Therefore, the amount of water used by the family is 350 gallons per week.

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if one shirt costs £13,how many can I buy with £419?

Answers

Answer:

32 shirts

Step-by-step explanation:

419÷13

=32.230

Answer:

Step-by-step explanation:

419 divided by 13

= 32.230

Sergio wants to hand a 40 1/2 inch by 28 2/3 inch canvas painting on a wall in his room. The width of the wall is 15 2/3 feet. The height of the wall is 3/4 the width of the wall. a. What is the area of the wall? b. How much of the wall will be uncovered after Sergio hangs the painting?

Answers

The most appropriate choice for area of rectangle will be given by-

a) Area of the wall = [tex]26508[/tex] [tex]in^2[/tex]

b) Area of wall left uncovered = [tex]25347[/tex] [tex]in^2[/tex]

What is area of rectangle?

Area of rectangle is the total space taken by the rectangle. If l is the length of the rectangle and b is the breadth of the rectangle, then area of the rectangle is given by

Area = [tex]l \times b[/tex]

Here,

Width of the wall = [tex]15\frac {2}{3}[/tex] feet = [tex]\frac{47}{3}[/tex] feet

Height of the wall = [tex]\frac{3}{4} \times \frac{47}{3}[/tex] feet

= [tex]\frac{47}{4}[/tex] feet

a) Area of the wall = [tex]\frac{47}{3} \times \frac{47}{4}[/tex] [tex]ft^2[/tex]

=[tex]\frac{2209}{12} \times 12 \times 12[/tex] [tex]in^2[/tex]

= [tex]26508[/tex] [tex]in^2[/tex]

b) Length of painting = [tex]40 \frac{1}{2}[/tex] in = [tex]\frac{81}{2}[/tex] in

Breadth of painting = [tex]28\frac{2}{3}[/tex] in = [tex]\frac{86}{3}[/tex] in

Area of painting = [tex]\frac{81}{2} \times \frac{86}{3}[/tex] [tex]in^2[/tex]

= [tex]1161[/tex] [tex]in^2[/tex]

Area of wall left uncovered = (26508 - 1161) [tex]in^2[/tex]

= 25347 [tex]in^2[/tex]

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Identify a set of parallel and a set of perpendicular lines in this image.
m
B
LL
OBFCG, BF 1 CG
OBECG, AD 1 EH
O AD
EH, EHL BE
O AD EH, BF 1 CG

Answers

A set of parallel lines and a set of perpendicular lines are: BF║CG, AD⊥BF.

What are Parallel Lines?

Parallel lines are straight lines that are of equal distance at every point away from each other, and therefore, do not intersect each other at any point. The sign "║" is used to indicate that two lines are parallel lines.

What are Perpendicular Lines?

Lines that are said to be perpendicular lines are lines that intersect each other at right angle or 90 degrees. That is, at the point of their intersection, a right angle is formed which is 90 degrees. The sign "⊥" is used to indicate that two lines are perpendicular lines.

In the image given, lines BF and CG do not intersect at any point and they are of equal distance away from each other at every point, therefore, CG and BF are perpendicular lines.

Also, we can see that a right angle is formed at the point of intersection of lines AD and BF, therefore AD and BF are perpendicular lines.

Thus, we can state that: BF║CG, AD⊥BF.

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separate 84 into two parts such that one part will be 12 less than twice the other

Answers

Answer:

32, 52

Step-by-step explanation:

84=x+y

x=2y-12

Solving the system of equations

Plug second equation into first

84=(2y-12)+y

84=3y-12

y=32

Plug y into first equation

84=x+32

x=52

Which of the following is an example of a set of like terms ??

Answers

2. >>>>>>>b {18x,-x,21x} is an example of like terms because they both hold the same variables.

4.>>>>>>

[tex] = - 7(2x - 3) \\ = - 7(2x) - 7( - 3) \\ = - 14x + 21[/tex]

ATTACHED IS THE SOLUTION

Can u please help me with this answer

Answers

Answer:

option a as x=8 hope you understand my writing , if got some problem comment down

Harley rides her bicycle the same distance every day for 4 days. The total distance she rides is 814 miles. How many miles does she ride each day?

Answers

Answer:

203.5

Step-by-step explanation:

just divide 814 by 4

Answer:

203.5 miles per day

Step-by-step explanation:

divide 814 by 4= 203.5

Can someone please help answer this question on simultaneous equations?

Answers

Answer:

1 knife cost £6.6

Step-by-step explanation:

Simultaneous equation is;

4x = y ----------(equation 1)

12y + 16x = 105.64 ----------- (equation 2)

Rewrite equations:

4x=y;16x+12y=105.64

Step: Solve4x=yfor y:

4x=y

4x+−y=y+−y(Add -y to both sides)

4x−y=0

4x−y+−4x=0+−4x(Add -4x to both sides)

−y=−4x

−y/−1 = −4x/−1

(Divide both sides by -1)

y=4x

Step: Substitute 4x for y in 16x+12y=105.64:

16x+12y=105.64

16x+124x=105.64

64x=105.64(Simplify both sides of the equation)

64x/64 = 105.64/64

(Divide both sides by 64)

x=1.650625

Step: Substitute 1.650625 for x in y=4x:

y=4x

y=(4)(1.650625)

y=6.6025(Simplify both sides of the equation)

1 knife cost = 4x = 4(1.65) = 6.6

∴ 1 knife cost £6.6

Find the slope between these two points:
(12, -18), (-15, -18)

Answers

Answer:

The slope is 0.

Step-by-step explanation:

Using the slope formula which is m= y2 - y1 / x2 - x1, plug in the x values and y values of the two points. (12,-18) is x1 and y1. (-15,-18) is x2 and y2.

When plugging it in we get -18 - (-18)/ -15 - 12. You cannot subtract a negative so it turns from subtraction to addition. So, -18 + 18 / -15 - 12 which equals 0/-27. 0 divided by any number is 0. So the slope is 0, m=0.

Hope this helps :)

Four friends want to share a package of cookies with m number of cookies in it which expression represents the numbers of cookies each friends will get

Answers

Based on the case, we know that four friends want to share their cookies package. The number of the cookies is represent by 'm'. So, how many part for each friends will get?

We can solve the case by 'fraction'. Fractions represent the parts of a whole objects. A fraction is arranged by two parts. First, numerator is the number on the top of the line. Basically, numerator is how many equal parts of the whole objects are taken. Second, denominator is the number below the line. In the other word, denominator is the total number.

If four friends want to share the whole package of cookies, is means that the package will be divided to 4 parts. The whole part is represented by 'm'. So, the fraction form that can describe this case is each friends will get [tex]\frac{1}{4}[/tex] m.

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Please help me with 24For the following exercises, write the equation for the hyperbola in standard form if it is not already, and identify the vertices and foci, and write equations of asymptotes.

Answers

Given the equation,

[tex]-9x^2+72x+16y^2+16y+4=0[/tex]

Complete squares as shown below,

[tex]\begin{gathered} -9x^2+72x-a^2=-(9x^2-72x+a^2)=-9(x^2-8x+b^2) \\ \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} \Rightarrow-9x^2+72x-a^2=-9(x^{}-4)^2 \\ \Rightarrow a^2=16\cdot9=144\Rightarrow a=12 \\ \Rightarrow-9x^2+72x-144=-9(x^{}-4)^2 \end{gathered}[/tex]

Similarly,

[tex]\begin{gathered} 16y^2+16y=16(y^2+y) \\ \Rightarrow16(y+\frac{1}{2})^2=16(y^2+y+\frac{1}{4}) \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} -9x^2+72x+16y^2+16y+4=0 \\ \Rightarrow-9(x-4)^2+16(y+\frac{1}{2})^2+4=-144+4 \\ \Rightarrow-9(x-4)^2+16(y+\frac{1}{2})^2=-144 \end{gathered}[/tex]

Finally, the standard form is.

[tex]\begin{gathered} \Rightarrow-\frac{(x-4)^2}{16}+\frac{(y+\frac{1}{2})^2}{9}=-1 \\ \Rightarrow\frac{(x-4)^2}{16}-\frac{(y+\frac{1}{2})^2}{9}=1 \end{gathered}[/tex]

As for the vertices, foci, and asymptotes,

[tex]\begin{gathered} c=\pm\sqrt[]{16+9}=\pm5 \\ \text{center:}(4,-\frac{1}{2}) \\ \Rightarrow\text{foci:}(4-5,-\frac{1}{2})_{},(4+5,-\frac{1}{2})_{} \\ \Rightarrow\text{foci:}(-1,-\frac{1}{2}),(9,-\frac{1}{2}) \end{gathered}[/tex]

Foci: (-1,-1/2), (9,-1/2)

Vertices

[tex]\begin{gathered} \text{center:}(4,-\frac{1}{2}),\text{vertices:}(4\pm a,-\frac{1}{2}) \\ \text{vertices:}(4+4,-\frac{1}{2}),(4-4,-\frac{1}{2}) \\ \text{vertices:}(8,-\frac{1}{2}),(0,-\frac{1}{2}) \end{gathered}[/tex]

Vertices: (8,-1/2), (0,-1/2)

Asymptotes:

[tex]\begin{gathered} y=\pm\frac{3}{4}(x-4)-\frac{1}{2} \\ \Rightarrow y=\frac{3}{4}x-\frac{7}{2} \\ \text{and} \\ y=-\frac{3}{4}x+\frac{5}{2} \end{gathered}[/tex]

Asymptotes: y=3x/4-7/2 and y=-3x/4+5/2

(6) If the store likes to keep 30 tiles in stock at all times how many bundles do they need to order now, after selling the 150 tiles to the customer? Think about how many you had left over from the customer when ordered 150 tiles.

Answers

function:

number of tiles: 12b+38

Where;

b=number of bundles

150+30 = 12b+38

Solve for b:

150+30 = 12b+38

180 = 12b+38

180-38 =12b

142 =12b

142/12 =b

11.8 =b

12 bundles

HELP MEE((((((((
solve an equation and draw a graph on it
I give 20 points!! please help as soon as possible(

Answers

Hey there!
Hope this helps you. :)

The number 24 is 4 times as many as 6.
Write this comparison as a multiplication equation.
+
Compare with multiplication

Answers

24/4=6 6*4 = 24. This should help

I'm stuck with this word problem pls helped me

Answers

One of the many branches of mathematics is algebra, which is derived from the Arabic word al-jabr, which means "reunion of fractured pieces, bonesetting."Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Solve the problem?

The world's best mathematicians have been baffled by a mathematical problem for decades.The Diophantine equation x3+y3+z3=k, where k is the sum of all the numbers from 1 to 100, is also referred to as the "sum of three cubes. The following will teach you how to identify the problem before moving on to any of the other four steps in the five-step process for solving algebraic problems.Determine the issue.Describe your knowledge.Plan beforehand.Execute the plan.Check to see if the response makes sense.

16x+12y=744

= 16x+12y=744

16x= 744-12y

divide both sides by 16

16x/16=744-12y/16

x= 744-12y/16

744-12y by 16

x =-3y/4+93/2

solving y

16x+12y=744

12y =744-16x

divide by 12

12y/12 =744-16x/12

y= 744-16x/12

y=-4x/3+62

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find the zeros of the function and state the multiplicities

Answers

Answer:

x = -3/4, x = 0, x = 5

Explanation:

The equation can be rewritten as

[tex]m(x)=x(12x^2-51x-45)[/tex]

The roots are found by equating the above to zero:

[tex]x(12x^2-51x-45)=0[/tex]

One root we immediately notice is x = 0. The other roots are found using the fact that

[tex]12x^2-51x-45=0[/tex]

To solve for x we use the quadratic formula which says for

[tex]ax^2+bx+c=0[/tex]

the x is given by

[tex]undefined[/tex]

Please fully explain how to answer number 5 Thank you

Answers

Given: A right triangle with dimensions as shown in the figure

To Determine: The ratio for sin A and cos A

Solution

Given a right triangle ABC with a reference angle A, the trigonometry ratio is

[tex]\begin{gathered} sinA=\frac{opposite}{hypothenuse} \\ cosA=\frac{adjacent}{hypothenuse} \\ tanA=\frac{opposite}{adjacent} \end{gathered}[/tex]

From the given right triangle with reference angle A, the hypothenuse is the side facing the right angle. The side facing angle A is the opposite, and the other side is adjacent. This is as shown below

Hence

[tex]\begin{gathered} sinA=\frac{24}{26} \\ cosA=\frac{10}{26} \end{gathered}[/tex]

OPTION A is the correct option

jerry purchased a single family lot that measured 90' x 120'. the city requires a 20' setback on the front, a 15' setback along the sides and a 10' setback at the back of the lot. how big can jerry build his house?

Answers

The best measure of how big Jerry can build his house as required in the task content is; 60' by 90'.

Dimensions.

It follows from the task content that the dimension of the family lot purchased by Jerry in a bid to build his house has dimensions; 90' × 120'.

Since the city requires 20' setback on the front and 10' setback at the back, it follows that the vertical length remaining and available to build his house is; 120' - 20' - 10' = 90'.

Also, the horizontal width available for him to build his house after the 15' setback along the sides is; 90' - 15' - 15' = 60'.

Therefore, the space available for Jerry to.build his house is; 60' × 90'.