Hiroko is trying to find the value of d in 10d + 490 = 2,500. he starts by correctly rewriting the equation as 10(d + 49) = 10(250). How could this help Hiroko figure out the value of d?

Answers

Answer 1

Answer:

Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.

Step-by-step explanation:

However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.

Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)
Multiplication

Division

Addition

Subtraction.

First, subtract 490 from both sides of the equation:

10d + 490 (-490) = 2500 (-490)

10d = 2500 - 490

10d = 2010

Next, divide 10 from both sides of the equation:

(10d)/10 = (2010)/10

d = 2010/10

d = 201

201 is your value for d.

~


Related Questions

Find the area of the parallelogram. 24 cm 9cm 8 cm

Answers

the area is 1728 cm give brainyiest

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

5.735

pythagorian theorem is a^2 + B^2 = c^2

C is the longest side of the right triangle

**PLS HELP BRAINLIEST**

Answers

Answer:

x < 10

Step-by-step explanation:

the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.

Answer:

x<10

Step-by-step explanation:

Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10

again another Pythagorean Theorem i need help on, please and thank you

Answers

     You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."

     The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.

What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.

       In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.

NEED HELP ASAP! WILL GIVE BRAINLIEST!!


1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?

1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?

A. one fourth x 6,766 = ________

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

1. A and C
2. D and B
3. A and B
4. C and D

Answers

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

It the C and D I promise you it’s correct.

5510 ÷ 27 with remainder

Answers

Answer:

204, there is no remainder.

Step-by-step explanation:

Answer: 204 Rem 2

Step-by-step explanation: Use long division

Please help me with this please and thank you

Answers

answer is C thank you very much

Answer:

Step-by-step explanation:

Answer A represents an exponential equation; see below for a demo.

In Answer A we have (1, 3), (2, 3²), (3,3³)

1/secA+tanA = 1-sinA/cosA

Answers

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

PLEASE HELP!! 30 POINTS

Find the measure of arc ZWX if XR and WZ are diameters.

Answers

Answer:

13πr/60 units

Step-by-step explanation:

Formula

arc length = radius x degree measure

Solving

2πr x θ/360πr x 39/18039πr/18013πr/60 units

FREE BRAINLIEST IF CORRECT - EZ QUESTION: Write the equation for the parabola that has x− intercepts (−2,0) and (−5,0) and y− intercept (0,−4).

Answers

Answer:

y = -2/5x^2 - 14/5x  - 4

Step-by-step explanation:

y = a(x + 2)(x + 5)

At y intercept:

-4 = a(2)(5)

10a = -4

a = -2/5.

So the equation is

y = -2/5(x + 2)(x + 5)

y = -2/5(x^2 + 7x + 10)

y = -2/5x^2 - 14/5x  - 4

give me full working and explanation and I give you stars. deal..?​​

Answers

Length: 44 metre

perimeter of rectangle = 2(length+breadth)

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 m

An experiment consists of rolling a die and then flipping a coin.

The following tree diagram shows the possible outcomes.


A 2-column tree diagram: die and coin. The die column has numbers 1 through 6. Each number branches to H & T in the coin column.

© 2018 StrongMind. Created using GeoGebra.


What is the probability of rolling a 6 or landing on tails?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

1/3

Step-by-step explanation:

If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.

[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]

Theres a 1/3 more chance of tails than rolling 6

The probability of rolling a 6 or rolling a die is 2/3.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

An experiment consists of rolling a die and then flipping a coin.

Probability = Number of desired outcomes / Total outcomes

Probability of rolling a 6 = 1/6

Probability of landing on tails = 1/2

P(A or B) = P(A) + P(B)

Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.

P(A or B) = 1/6 + 1/2 = 4/6 = 2/3

Hence the required probability is 2/3.

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In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?

Answers

Answer:

50% or 0.5

Step-by-step explanation:

Based on the given conditions, formulate: (5+11-2)÷28

Calculate the sum or difference: 16-2/28

Calculate the sum or difference: 14/28

Cross out the common factor: 1/2

get the result: 50% or 0.5

Answer: 50% or 0.5

Determining the Conic Type from General Form

Identify the conic section that is represented by the equation.


2x^2 – 4x + 5y^2 – 3y + 2 = 0


circle

ellipse

parabola

hyperbola


Answer: B "ellipse"

Answers

to check what type of conic it may be, we first check the squared variables, their coefficents and sign.

in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.

if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.

if the coefficients are different, like in this case, we have an ellipse.

Answer:

photo

Step-by-step explanation:

Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?

Answers

The proportional relationship between (0,0) and (4,11) represents a direct variation

The equation that represents the graph is  y = 11x/4

How to determine the equation of the graph?

The points on the graph are given as:

(x,y) = (0,0) and (4,11)

The equation of the graph is then calculated using:

y = (y₁/x₁) * x

This gives

y = (11/4) * x

Evaluate

y = 11x/4

Hence, the equation that represents the graph is  y = 11x/4

Read more about proportional relationships at:

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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equation of line k? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.​
(I figured it out y=3/2 x +7)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form

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

given a line with slope m then the slope of a line perpendicular to it is

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

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y - 8 = -2/3(x+5)

The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,

y = 3/2x + c

The line is passing through (-6, -2), then we have

-2 = 3/2(-6) + c

-2 = -9 + c

c = 7

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

More about the equation of a perpendicular line link is given below.

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Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?





Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?






Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?






The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?

Answers

Answer:

I got you with Question 3 and 4 my guy.

3) He would need 12 and it would cost 50k

4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27

The Tom will need to bring to the closing $54,341.27

He would need 12 and it would cost 50k.

We have given that,

Tom buys a condominium for $42,600.

He makes a down payment of 15% and pays these closing costs to survey $225.

What is the meaning of a down payment?

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

To learn more about the savings visit:

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Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.

Answers

Answer:

N/a^3/2

Step-by-step explanation:

loga(N/X)=3/2

N/X= a^3/2

X= N/a^3/2

Step-by-step explanation:

When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:

[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]

Then use the formula:

[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]

[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]

[tex]x = n {a}^{ - \frac{3}{2} } [/tex]

What is the third angle on a triangle with angels of 30 and 60?​

Answers

Answer:

90 degrees

Step-by-step explanation:

a triangles angles add up to 180

this means that you can add all the angles together and get 180

you can first add 30 and 60 and then subtract the sum from 180

30 + 60 = 90

180 - 90 = 90

the last angle is 90 degrees

Hey ! there

Answer:

Third angle is equal to 90 degrees

Step-by-step explanation:

In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .

For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.

Solution : -

As we know that ,

First angle = 30°

Second angle = 60°

Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)

So ,

[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]

Step 1 : Adding 30° and 60° :

[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]

Step 2 : Subtracting 90° from both sides :

[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]

On further calculations , We get :

[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]

Henceforth , value of x that is our third angle of triangle is 90° .

Verifying : -

Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,

Angle 1 + Angle 2 + Angle 3 = 180°

30° + 60° + 90° = 180°

90° + 90° = 180°

180° = 180°

L.H.S = R.H.S

Hence , Verified .

Therefore, our solution is correct .

#Keep Learning

find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.

Answers

Answer:

97 1/3 or 97.3333

Step-by-step explanation:

multiply 2 2/3 by 36 1/2

:)

Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)

Answers

Parallel lines have equal slope but different y-intercepts.

slope intercept form:
y = mx + b (where m = slope
and b = y-intercept)

simply subtract 9 from both sides of the given equation to get slope intercept form of the first line:
y + 9 = -3/2x
y + 9 - 9 = -3/2x - 9
y = -3/2x - 9

so the slope (m) = -3/2

the problem tells us a point on the second line (x,y) or (-8,9)

and we now know slope is -3/2

so let’s plug those in and solve for the y-intercept (b) of the second line.

y = mx + b
9 = -3/2(-8) + b
9 = 12 + b
9 - 12 = 12 - 12 + b
-3 = b

so now we know the slope (m) of both lines is -3/2 and the y-intercept (b) of the second line is -3

all we have to do is use the information to establish slope intercept form of the equation of the second line:

y = mx + b
y = -3/2x - 3

The answer is: y = -3/2x - 3

check your answer by plugging the point (-8,9) back in to your equation

9 = -3/2(-8) - 3
9 = 12 - 3
9 = 9 [TRUE]

can someone help me.​

Answers

Step-by-step explanation:

side of square = 10

area of square = side² = 10² = 100 cm²

P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???

3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.

Answers

Answer: 12

Step-by-step explanation:

Start with 90/10 which gets you 9

Then add 3 and 9 which is 12

Answer:

12

Step-by-step explanation:

Order of operations says to do the division first

90/10 = 9

Then add the rest

9+3 = 12

9 subtracted from 2x gives the result 5 Find the value of x.

Answers

Answer:

x = 7

Step-by-step explanation:

Just write what you see in terms of a formula.

2x - 9 = 5

Solve for x

add both sides by 9

2x = 5 + 9

2x = 14

divide both sides by 2

x = 14/2

x = 7

Answer:

x = 7

Step-by-step explanation:

9 subtracted from 2x gives the result 5. Find the value of x.

Translate:

2x - 9 = 5

Simplify:

2x - 9 = 5 <== add 9 to both sides

    + 9  + 9

2x = 14 <== divide both sides by 2 to isolate the variable

/2    /2

x = 7

Hope this helps!

Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires were increased by 20%? Calculate the number of rotations for the new wheel. Divide 63,360/new circumference =_______rotations (Please only put the number as your answer)

Answers

The number of rotations for the new wheel will be  1,056 rotations

How to calculate the circumference of a wheel?

Let the initial circumference be 50 rotations  (assumed)

If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:

Ne circumference = 1.2 * 50 = 60

number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations

Hence the number of rotations for the new wheel will be  1,056 rotations

Learn more on circumference here: https://brainly.com/question/20489969

What is the result of adding these two equations?

2x+7y=4
-2x-8y=-2

Answers

Answer:

y=-2

Step-by-step explanation:

2x-2x=0

7y-8y=-y

4-2=2

-Y=2

Y=-2

After adding them together you should get -2

You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?

Answers

Answer:

salary: $40,000÷18% = $ 222. 222 22

222 222 22÷40,000×100%

= 555.56%

how do i find out decimal parts of money?

Answers

Answer:

A dollar is a whole amount and is written to the left of the decimal.

...

In 1 dollar there are 100 cents and we write them after a period:

1 cent of a dollar is written $0.01.

10 cents of a dollar is written $0.10.

1 dollar and 1 cent is written $1.01.

1 dollar and 10 cents is written $1.10.

Money Is a Special Decimal

All money is a decimal value with two places. You will see examples including $1.25, $65.98, and $26.34. No matter how big the value gets, you can only have two decimal places. One cent is 0.01.

what does 7 of one third + 2 and two thirds =

Answers

10 is the answer to your question

What’s bigger - 2/3 or -0.8

Answers

Answer:

-2/3  is greater than  -0.8

Step-by-step explanation:

-2/3 when made into a decimal is about -0.67

This is greater than -0.8 because -0.67 covers less area when put into a visual.

Answer:

Convert -0.8 into a fraction or -2/3 into a decimal;

-2/3 in decimal form = -0.666...

Compare the two decimals;

-0.8 __ -0.666...

-0.8 < -0.666..., so -2/3 is greater.

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