Jenny wants to save $900 to go to Puerto Rico. She saves $45 each week. Her brother gives her $180. Write an equation to find how many weeks she must save. (I need the equation)

Answers

Answer 1

Answer:

45x + 180 = 900

x being number of weeks

Step-by-step explanation:

Answer 2

The equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have:

The amount of money Jenny saved each week = $45

The amount her brother gives = $180

Total amount Jenny wants to save = $900

Let's suppose the number of weeks is x

180+45x = 900    (as she has already $180 and each week she saves is                                    

                              $45)                

So from the above equation, we can find the number of weeks.

After solving the equation:

45x = 900 - 180

x = 16 weeks

Thus, the equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.

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Related Questions


can anyone help me with the answers?

Answers

1) £15
2) £15
3) £7.50
4) £15
5) £15
6) £1.50
7) 15p
8) 30p
9) £3
10) £4.50
11) £18
12) 18

The scatter plot below shows the relationship between hours spent on video games and hours spent on homework last week for students in Ginny's class.
Which of the following is the best estimate of the average change in homework time that was associated with a 1-hour increase in time spent on video games?

Answers

Answer:

-4/3 hrs

Step-by-step explanation:

trust me I just got it right ;)

The hour change rate is [tex]-\frac{4}{3}[/tex]

What is scatter plot?

'A scatter plot uses dots to represent values for two different numeric variables.'

According to the given problem,

Since the data shows mostly a linear trend, we can draw a line to estimate the rate of change.

The line approximately goes through (0,23) and (12,7).

Using the slope formula,

m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the respective values,

m = [tex]\frac{7-23}{12-0}[/tex]

m = [tex]-\frac{4}{3}[/tex]

Hence, we can conclude that each additional hour spent on video games is associated with approximately a [tex]-\frac{4}{3}[/tex] hour change in time spent on homework on average.

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Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Answers

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

f(x) = 2x + 7g(x) = x-3

To determine

f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

        = -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

so

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3

ABCD is a rhombus. Find m

Answers

Answer:

angle ABD=28 degrees

Step-by-step explanation:

Diagonals of a rhombus are perpendicular so all angles at point E are 90 degrees.

Diagonals of a rhombus also bisect the corner angles.

therefore:

angle CBD=ABD

angle CBD=90-62=28 degrees

so angle ABD=28 degrees

Help please will award brainliest

Answers

Answer:

B)

Step-by-step explanation:

For the function [tex]y=-5x[/tex], all coordinates this line passes through should make this inequality true.

[tex]\begin{case}y=5(-7)=35\\y=-2(-5)=10\\y=2(-5)=-10\end{case}[/tex]

This corresponds with table B.

Need Help Please answer and Find the measure of the exterior angle of the triangle.

Answers

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

1. An airplane flies a distance of 3000 miles in 6 hours. How tast is it going? Hint: Uses=d/t. Show our work.

2. A skydiver opens her parachute and is dropping toward the ground at a constant speed of 0.3 m/s. If she is currently 200 meters above the ground, how long will it be before she lands on the ground? Hint: Use t = d/s. Show your work.

3. A snail crawls over the ground at 1 meter per hour. How far will the slug move in 6 minutes. Hint: Use d = s x t after you convert 6 minutes into hours. Show your work.

4. A race car accelerates from 0 to 30 mi/he (44 ft / sec) in 4 seconds. What is it's acceleration in ft /sec²? Hint: Use a = v / t.

5. A fighter jet is flying along and the pilot wants to go faster. He pushes the throttle so the jet engine is producing full power. The jet accelerates at a rate of 20 m/s² for 10 seconds. How much does the jet increase it's velocity? Hint: Use v = a x t. Show your work.

6. If the jet in question 5 above was traveling at 1000 m/s before it accelerated, how fast was it going after it accelerated for 10 seconds? Show your work.

7. A boy drops a ball. The ball accelerates at 9.8 m/s². How long does it take for the ball to reach a velocu if 1 m/s? Hint: Use t = v / a. Show your work including units.

Answers

Answer:

Step-by-step explanation:

what the hell is this

Answer:

it should be that

Step-by-step explanation:

EQUATION GIVES YOU  IF YOU KNOW

v=d/t Speed Distance time

d = v x t Distance Speed and time

t = d/v Time Distance and speed

Question 5 (2 points)
Here is a diagram of a softball field:
Outfield
Infield
110 ft
250 ft
Use this diagram to answer the questions below.
Use 3.14 to represent and round your answer to the nearest whole number. Type your answers in the boxes below.
HINT: For this problem we are going to assume the infield is a regular circle. Solve as if it is a circle.
1. The fence around the field (the whole perimeter of the shape) is about
feet
2. The area of the outfield is about
ft

Answers

a. The Length of the fence around the field = perimeter of quarter circle is  892.7 ft.

b. The area of the outfield is 39,584 sq. ft..

What is the circle about?

Note that:

Perimeter of circle = 2πrPerimeter of a quarter circle = 2r + 1/4(2πr).

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Put in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Put in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

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The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost for a set of uniforms?

Answers

Answer:

700

Step-by-step explanation:

multiple 175 × 4 to get to 100%

$700. If $175 is 25% of the cost (C) of the uniforms, then we can write an equation like this...
C x .25 = $175
Divide both sides of the equation by .25 to solve for C, and you get...
C = $700

I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?

Answers

Answer:

15.5

Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong

please answer ASAP. 10 points and will give brainiest

Answers

Answer:

525 yd should be your answer

Step-by-step explanation:

A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?

Answers

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.

Solve the equation below for y.

12(y−8) = 14y−2

Answers

The answer to the question is: y=-47
Multiply 12 into (y-8)
12y-96 = 14y-2
Then move 96 to the other side which will be
12y=14y-2+96
12y=14y+94
Move the 14y and the sign will be minus
12y-14y=94
-2y=94
Dive negative 2 in both sides
Y= -47

50 points please lmk how to do this

Answers

Answer:

ZD= OY= 42

DO= ZY= 25

YV= VD= 60/2= 30

ZV= OV= 18

Step-by-step explanation:

Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD

Hope this helps!!

I need help with this question

Answers

Answer: yes, the transformation is a dilation.

help me pleaseee... :)

Answers

4) 7h

5) 9k

6) 5b + 8

7) 1/8x - 5/6

8) -7c - 2d

9) -17y - 16z

just add like terms. i hope this helps :)

Is quadrilateral UVWX a parallelogram? Why or why not?

Answers

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

Answer:

Yes, because opposite sides are parallel.

Step-by-step explanation: I took the test

Which function's graph is shown below?

Answers

Answer:

B: y=sinx

Step-by-step explanation:

the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.

the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.

The answer is y = sin x!!

Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.

Answers

Answer:

13-13i

Step-by-step explanation:

2(5+i)-3i(5+i)

10+2i-15i-3i²

10-13i+3

13-13i

Plsss help I don't know how to graph I will give brainiest!

Answers

Answer: (2, 5)

Step-by-step explanation:

y = 2x + 1 y = 4x − 3

Eliminate the equal sides of each equation and combine.

2x + 1 = 4x − 3

Solve 2x + 1 = 4x − 3 for x.

Move all terms containing x to the left side of the equation.

Subtract 4x from both sides of the equation.

2x + 1 − 4x = −3

Subtract 4x from 2x.

−2x + 1 = −3

Move all terms not containing x to the right side of the equation.

Subtract 1 from both sides of the equation.

−2x = −3 − 1

Subtract 1 from −3.

−2x = −4

Divide each term by −2 and simplify.

x = 2

Evaluate y when x = 2.

Substitute 2 for x. y = 4 (2) − 3

Simplify 4 (2) − 3.

Multiply 4 by 2.

y = 8 − 3

Subtract 3 from 8.

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2, 5)

The result can be shown in multiple forms.

Point Form:

(2, 5)

Equation Form:

x = 2, y = 5

30 POINTS ! TRUE OR FALSE?

Answers

False, they're perpendicular

Answer:

False

Step-by-step explanation:

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax

Answers

Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

7w + 3 + 2w + 9 simplified

Answers

The answer is 9w + 12

hope this helps!

Answer:

9w + 12

Step-by-step explanation:

First, add the 7w and the 2w

7w + 2w = 9w

Second, add 3 and 9

3 + 9 = 12

Last, add the two together

9w + 12 =

Hope this helps!

A business has two delivery trucks. The weight of the first truck is 7.5 tons. The weight of the second truck is 8.75 tons. What is the difference in the weight of the trucks in pounds?

Answers

Answer:

2500 pounds

Step-by-step explanation:

There are 2000 pounds in one ton.

Find the weight of the first truck in pounds:

7.5(2000)

= 15000

Find the weight of the second truck in pounds:

8.75(2000)

= 17500

Now, find the difference in the weight:

17500 - 15000

= 2500 pounds

So, the difference in the weight of the trucks in pounds is 2500 pounds

Answer:

the person above me or below me is right i did the math and its correct gives me that answer

Step-by-step explanation:

solve for x: 100-6x=160-10x

Answers

Answer:

x= 15

Step-by-step explanation:

x= 15

Work:

Step 1- combine like turns:

100-6x=160-10x
+10x

100+4x=160
-100

4x=60
/4

x=15

A stationer purchased 5 dozen of pens at
Rs 25 per price and sold 24 per piea
() Find his loss
() Find
his loss percent.​

Answers

Answer:

CP = 25

SP = 24

Loss = CP - SP

=> 1

Loss% => Loss × 100/25

=> 1×4

=> 4% Loss

Martin is laying out a design for the tiles on a section of his bathroom floor. He will use 1 black tile for every 4 white tiles to have total of 20 tiles in the design. How many of each type of tile will Martin use?

Answers

Answer:

[tex]Black = 4[/tex]

[tex]White = 16[/tex]

Step-by-step explanation:

Given

[tex]Black : White = 1 : 4[/tex]

[tex]Total = 20[/tex]

Required

Determine the number of each type used

Convert each ratio to fraction.

For Black, we have:

[tex]Black = \frac{1}{1 + 4} = \frac{1}{5}[/tex]

For White, we have:

[tex]White = \frac{4}{1 + 4} = \frac{4}{5}[/tex]

The number of tiles for each is then calculated as:

[tex]Black = \frac{1}{5} * Total[/tex]

[tex]Black = \frac{1}{5} * 20[/tex]

[tex]Black = \frac{20}{5}[/tex]

[tex]Black = 4[/tex]

[tex]White = \frac{4}{5} * Total[/tex]

[tex]White = \frac{4}{5} * 20[/tex]

[tex]White = \frac{4 * 20}{5}[/tex]

[tex]White = \frac{80}{5}[/tex]

[tex]White = 16[/tex]

help with #14 plz help

Answers

Answer:

H. 2.5

Step-by-step explanation:

we know that ∆ABC similar to ∆ DEF

so , DE= 2.5

:-))

Find the length of Segment JM.​

Answers

Hello!

[tex]\large\boxed{JM = 8 \text{ units } }[/tex]

As solved in the previous question:

2x - 4 = 4x - 16

x = 6

Plug in this value of x into the expression for JM:

4(6) - 16 =

24 - 16 = 8 units.

~A ~ c ~ i ~ r ~ c ~ l ~ e ~ h ~ a ~ s ~ a ~ r ~ a ~ d ~ i ~ u ~ s ~ o ~ f ~ s ~ i ~ x ~ m ~ e ~ t ~ e ~ r ~ s.~
~W ~ h ~ a ~ t ~ i ~ s ~ t ~ h ~ e ~ c ~ i ~ r ~ c ~ u ~ m ~ f ~ e ~ r ~ e ~ n ~ c ~e ~ o ~ f ~ t ~ h ~ e ~ c ~ i ~ r ~ c ~ l ~ e ?~

~A ~ c i r c l e ~ h a s ~ a ~ r a d i u s ~ o f ~ s i x ~ m e t e r s.~
~W h a t ~ i s ~ t h e ~ c i r c u m f e r e n c e ~ o f ~ t h e ~ c i r c l e ?~

~A ~ c i r c l e ~ h a s ~ a ~ r a d i u s ~ o f ~ 6 ~ m e t e r s.~
~W h a t ~ i s ~ t h e ~ c i r c u m f e r e n c e ~ o f ~ t h e ~ c i r c l e ?~

~A ~ circle ~ has ~ a ~ radius ~ of ~ 6 ~ meters.~
~What ~ is ~ the ~ circumference ~ of ~ the ~ circle?~

~A circle has a radius of 6 meters.~
~What is the circumference of the circle?~

A circle has a radius of 6 meters.
What is the circumference of the circle?

Answers

Answer:

I already answered this question, the answer is A

12[tex]\pi[/tex]m

Answer:A

Step-by-step explanation:A

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