Modeling with Equations
You have $60 and your sister has $120. You are saving
$14 per week and your sister is saving $10 per week. How
long will it be before you and your sister have the same
amount of money? What amount would you have the same?
You must include the equation and the intermediate
steps used to arrive at the answer

Answers

Answer 1

Answer:

Step-by-step explanation:

you

60 +14*number of weeks

sister

120+10*number of weeks

let x be the number of weeks until they have the same amount of money

60+14x = 120+10x ; isolate like terms

14x -10x = 120-60

4x = 60; divide both sides by 4

x= 15 weeks

120+10*15 = 120+ 150 = $270 will be the amount they will have the same


Related Questions

Which figure has at least one line of symmetry?

Answers

Answer:

it the first diagram for this question.

if cosø = -5/13 and sin ø<0 what is tan ø

Answers

Answer:

12:5

Step-by-step explanation:

Pls help me ASAP -

Find the value of x.

8
18.5
11
None of the above

Answers

Answer:

8

Step-by-step explanation:

the two trapezoids are similar with each base being 7 units smaller than the previous

22-15 = 7

15-7 = 8

The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?

Answers

Answer:

-3/7

Step-by-step explanation:

Parallel lines have the same slope

If the green line has a slope of -3/7, the red line has a slope of -3/7

I need answers to, tan x = 23/41 and sin x = 23/45

Answers

Answer:

See below. Remember to take the inverse trig function of both sides!

Step-by-step explanation:

The solution to [tex]tanx=\frac{23}{41}[/tex] is [tex]x=tan^{-1}(\frac{23}{41})=29.29136217^\circ[/tex]

Similarly, the solution to [tex]sinx=\frac{23}{45}[/tex] is [tex]x=sin^{-1}(\frac{23}{45})=30.73786867^\circ[/tex]

There are 924 people in a theatre.
383 of the people are men.
356 of the people are women.
2
of the children are boys.
5
Work out how many girls are in the theatre

Answers

[tex]924 - (383 + 356 + 2 + 5 )[/tex]

Answer:

Step-by-step explanation:

total no. of people in the theatre = 924

men=383

women=356

boy children =2

doing workout 5

total=746

no. of girls= 924-746=178

Therefore, the number of girls are in the theatre are 178.

Did I answer this correctly? Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence.

Put the following in order:
A. Subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x.

B) Substitute the value of x in the first equation (x + y = -2) to get y = 1.

C) The solution for the system of equations is (-3, 1).

D) x = -15

E) The solution for the system of equations is (-15, 13).

F) Add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.

G) x = -3

H) Substitute the value of x in the first equation (x + y = -2) to get y = 13.

J) Multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.

Remember that only 5 can be used.

Answers

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

can someone help me with this​

Answers

Answer:

1 4/5

Step-by-step explanation:

9/11 ÷ 5/11

Copy dot flip

9/11 * 11/5

Rewriting

9/5 * 11/11

9/5

Changing to a mixed number

5 goes into 9 1 time with 4 left over

1 4/5

I need help!!!!!!!!???!!!!!!!!??

Answers

Its 27 if you’re adding at the bottom, but I cant really tell since it’s cropped

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

Step-by-step explanation:

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

She got the given variable

Answers

Answer:

125 ov?/70*5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

70+5f=125. [exterior angle is equal to sum of interior opposite angles]

5f=125-70

5f=55

f=11

Combine like terms and solve: 17x - 3x +8 *

Answers

Answer:

14x+8

Step-by-step explanation:

Answer:

14x+8

Step-by-step explanation:

x is a like term here so we can do 17x-3x

17x-3x=14x. 8 has no like terms so it will be 14x+8

A building 230 feet tall casts a 80 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the
building.)

Answers

Hope this help!!!

Have a nice day!!!

The angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

How to calculate the angle?

The tangent function to find the angle between the end of the shadow and the vertical side of the building. Let x be the measure of the angle, in degrees. Then:

tan(x) = opposite/adjacent

tan(x) = 230/80

tan(x) = 2.875

To solve for x, we take the inverse tangent of both sides:

x = tan⁻¹(2.875)

x ≈ 70.4

Therefore, the angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

To know more about an angle follow

https://brainly.com/question/13959018

#SPJ2

Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.

If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?
DC equals EC times AC all over BC
DC = EC
DC equals EC times AC all over AB
DC = AB

Answers

Answer:

A) DC equals EC times AC all over BC.

Step-by-step explanation:

We know that:

[tex]DE\parallel AB[/tex]

Then by corresponding angles:

[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]

So, by AA-Similarity:

[tex]\Delta CDE\sim \Delta CAB[/tex]

Corresponding sides of similar triangles are in proportion. Hence:

[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]

By multiplying both sides by AC:

[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]

DC is equal to EC times AC over BC.

Hence, our answer is A.

Answer:

 DC equals EC times AC all over BC

Step-by-step explanation:

questions 1 and 2, please

Answers

Answer:

too blurry cant read it

Step-by-step explanation:

.........................................................

need help with this question

Answers

Answer:

the anwser is b

Step-by-step explanation

you need to replace the letters with the numbers and youll see

hey. I suck at algebra help pls?​

Answers

Answer: 8

Hope this helps

how do i solve this?

Answers

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5[tex]\sqrt{3}[/tex]

Sarah’s meal cost $28.80 without tip how much will she pay including 25% tip

Answers

Answer:

$ 36.00

Step-by-step explanation:

Tip Total: $ 7.20

Total (Bill + Tip): $ 36.00

Need to pass please help

Answers

The answer is 7

1/10 3/24 so in between these two they add up to 14 and half of 14 is 7 so 7 ft every year

m23 is (3x + 4)º and mz5 is (2x + 11)
Angles 3 and 5 are
p
12
4
can be
w/
The equation
used to solve for x.
O
56
78
m25 =
V

Answers

9514 1404 393

Answer:

same-side interior(3x +4) +(2x +11) = 18077°

Step-by-step explanation:

Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.

__

Because the angles are supplementary, their sum is 180°. So, the equation ...

  (3x +4)° +(2x +11)° = 180°

can be used to solve for x. Likewise, any of the possible simplifications of this can be use:

  (3x +4) +(2x +11) = 180 . . . . . divide by degrees

  5x +15 = 180 . . . . . . . . . . . collect terms

  5x = 165 . . . . . . . . . . . . . subtract 15

  x = 33 . . . . . . . . . . . . . . divide by 5

__

Once we know that x=33, then the measure of angle 5 is found from its expression:

  m∠5 = (2x +11)° = (2·33 +11)°

  m∠5 = 77°


Some of the values of a linear function are given in the table below. Which of the following could be the graph of the function?

Answers

Answer:

The graphs are included, but the table is missing.

Step-by-step explanation:

Find the indicated area of the sector surrounded in bold.

Answers

Answer:

75.36 yd² (≈ 75.4 yd²)

Step-by-step explanation:

GIVEN :-

Angle subtended by the arc at center of circle (θ) = 135°Radius of the circle = 8 yd

TO FIND :-

Area of the sector

GENERAL FORMULAE TO BE USED IN THI QUESTION :-

Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

SOLUTION :-

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

                              [tex]= \frac{135}{360} \times \pi (8)^2[/tex]

                              [tex]= \frac{3}{8} \times 64 \times 3.14[/tex]

                              [tex]= 3 \times 8 \times 3.14[/tex]

                              [tex]=75.36 \; yd^2[/tex]

Find the area of the figure described

Answers

Answer:

153.94

Step-by-step explanation:

A=πr2=π·72≈153.93804

hope this helps!

please mark brainiest<3

Choose the appropriate condition for the following pairs of triangles to be congruent.

Answers

Answer:

1. ASA, 2. SSS, 3. ASA

Step-by-step explanation:

1. It is given to us that these two triangles share two of the same angles. We can also see that they share a side together. 2 angles and a side means ASA.

2. It is given to us that these two triangles share two of the same side lengths. We can also see that they share a side together. 2 sides gives us SSS.

3. It is given to us that these two triangles share 1 of the same angles and 1 of the same side lengths. We can also see that they share a vertical angle, which by definition means they have the same measurement. 2 angles and a side gives us ASA.

Blank is 10 times the value of 70

Answers

Answer:

10x70=700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

7 x 10 = 700

Eggs $8.00 per dozen.

Mrs. Harris bought 5 dozens eggs and sold them at $1.00 each. Calculate her gain or loss percent.

Answers

She lost $35 since $8 x 5 is $40 and she sold them a dollar each

William has three $10 bills and four $1 bills in his wallet. What is the probability that he will reach into his wallet twice and pull out a $10 bill each time? Assume he does not replace the first bill when he pulls out the second one.

Answers

Answer:

Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The westbound train travels at 90 mph. How long will it take for the two trains to be 192 miles apart.

Answers

Answer:

1.2 hours

Step-by-step explanation:

Recall :

Distance = speed * time

Let the time taken = x

Creating an equation for the question :

Distance of train A + Distance of train B = 192

70 * x + 90 * x = 192

70x + 90x = 192

160x = 192

x = 192 / 160

x = 1.2

It takes 1.2 hours to be 192 miles apart.

The width of the rectangle shown below is 10 inches the length is 4 feet what is the area of the rectangle in square inches

Answers

1600 square inches





















Hope this helps

please help!!

A city has a population of 220,000 people. Suppose that each year the population grows by 8.75%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.

Answers

Answer:

P = 660,592

Step-by-step explanation:

p = [tex]222,000 (1+.0875)^{t}[/tex]

P = [tex]222,000 (1+.0875)^{13}[/tex]

P = 660,592

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