Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?

The equation of the line is y-2x+5=0 I believe. Good luck :)

Answer:

[tex]x - 3\sqrt{3} [/tex]

Study hard!

Brainliest please thank you!

Answer:

£3691 (nearest pound)

Step-by-step explanation:

Consider the rate of compound interest is r and the initial amount of savings is P, hence

[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]  

Therefore, the final amount of savings after nth years of compund interest is

[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].

Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus

[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]

Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.

[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]

Answer:

C) 15 cm is the best estimate.

Step-by-step explanation:

The exact answer is not there, so 15 is the best estimate.

You can use this equation to help you:

d=C/π

Where d is the diameter.

C is the circumference.

And the last one is Pi.

You know that C = 45, so divide that by Pi (3.14).

45/3.14159 = 14.32

The closest answer is 15.

Hope this helps! Have a great day!

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the best estimate of the circle's diameter is 15cm.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

A rigid transformation is one in which the distance between pairs of points

are preserved, and the image and preimage have the same dimensions.

Reasons:

The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)

The given transformations are;

1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis

The above transformation is a double reflection.

2. GHIJ is rotated about the origin 90° counterclockwise. The resulting

image is translated up 2 units.

3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the

origin. The resulting image is translated 2 units left.

Required:

The transformations that produce an image that is congruent to the given figure:

Solution:

Two figures are congruent if they have the same size and shape.

With the given figure being the trapezoid GHIJ, we have that a

transformation that will give an image that is congruent to the preimage

which is the trapezoid GHIJ is a rigid transformation.

Rigid transformations are;

The combinations of transformation given within the scenario that consists

of only rigid transformations are scenario 1 and scenario 2.

Therefore, the correct option is; Numbers 1 and 2.

Learn more about rigid transformation here:

https://brainly.com/question/1801406

Answer:She will have:

N = 200 smaller lots

Step-by-step explanation: N = (total acres of land) / (smaller lots of land)

Substituting the values we have:

N = 10 / (1/20)

Rewriting we have:

N = 10 * 20

N = 200 lots

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Answer:

Slope:40 Y-intercept: 70 (AKA, B)

Step-by-step explanation:

y=mx + b

(mx is slope, the x can show u where the slope is usually located.)

let me know if im wrong

Answer:24

Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24

Answer:

It's C

Step-by-step explanation:

You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho

Answer:

[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

[tex]f = \frac{rn}{1 - r} [/tex]

[tex]\huge \tt༆ Answer ༄[/tex]

The required expression is ~ B

[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]

Refer to the attachment for Solution ~

Answer:

Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!

Step-by-step explanation:

Answer:

23/99 or 0.22222222222222.

Step-by-step explanation:

Answer:

23/99

Step-by-step explanation:

Answer:

49 degree

Step-by-step explanation:

Answer:

1.023,1.032,1.203, and 1.23

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles marked there forms linear pair, and therefore they add up to be equal to 180°

That is ~

Therefore, value of x is 50°

Answer:

  28 inches

Step-by-step explanation:

We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.

The height of the scale model is 28 inches.

Answer:

$82,500

Step-by-step explanation:

Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500

Answer:

1,250,000

Step-by-step explanation:

875,000 sandals account for 70% of the total pairs sold.

875,000/7 = 125,000

125,000 accounts for 10%.

125,000 * 10 = 1,250,000.

1,250,000 accounts for 100%.

The company sells pairs of shoes in June is 612,500

In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.

Given that,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

We have to determine,

How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?

According to the question,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

Then,

The shoes did the company sell in June is,

[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]

Hence, The company's sells pair of shoes in June is 612,500.

For more details refer to the link given below.

https://brainly.com/question/9351049

Answer:

8

Step-by-step explanation:

Substitute the given values into the expression

[tex]\frac{1}{2}[/tex] xy²

= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²

= 2 × 4

= 8

Answer:

3

Step-by-step explanation:

The pattern is dividing 4 each time.

192/4=48

48/4=12

12/4=3

Hope this helps! Plz give brainliest!

Answer:

5)

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

6)

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

7)

See below

Step-by-step explanation:

To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.

5)

The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.

It's pretty hard to read that top graph in the photo, but I think I see these ones marked:

Line 1: (0, 3) and (3, 0)

Line 2: (0, -3) and (2, 3)

Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.

Divide the change in y by the change in x:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]

The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.

Now for line 2:

[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]

When x increases by 1, y increases by 3.

The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.

Line 1: 3

Line 2: -3

Now, you can write the equations for these lines in slope intercept form:

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

where m is the slope and b is the y-intercept we found above.

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

In line 1, -1x can be simplified to just -x.

6)

I'll do the exact same process here, but with less explaining. Let me know if you have any questions.

Find 2 points:

Line 1: (0, -2) and (4, 0)

Line 2: (0, 6) and (4, -4)

Find the slope of line 1:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]

and line 2:

[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]

Now, the y-intercepts:

Line 1: -2

Line 2: 6

Write the equations:

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

7)

A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.

Example:

[tex]y=2x+1\\y=2x+2[/tex]

Those both have a slope of 2, and if you graph them, you'll see that they never intersect.

A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.

Example:

[tex]y=2x+1\\y=2x+1[/tex]

That's what they are, graph them however you like.

Answer:

14.

Step-by-step explanation:

1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;

2) if according to the condition P=35, then 9+x+x+2=35;

2x=24; ⇒ x=12;

3) if x=12, then a=9; b=12 and 14;

4) finally, c=14 - the required longest side.

Answer:

16.8

Step-by-step explanation:

21-4.2= 16.8

Hi,

12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96

I hope it helped.✅

Answer:

[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]

Answer:

31.81

Step-by-step explanation:

-6.1 * -4.1 = 25.01

+ 6.8 = 31.81

Answer:

31.8

Step-by-step explanation:

I will assume that

"-6.1(-4.1) +6.8="

means (-6.1)*(-4.1) +6.8=

(-6.1)*(-4.1) = 25

25 + 6.8 = 31.8

Answer: Yes the win level is greater than 1/2

Step-by-step explanation: 32/52 is greater than 1/2

Answer:

28%

Step-by-step explanation:

(25%-7%)×4

100%-28%

Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?

Answer:

No question so no answer (just getting points i guess)

Step-by-step explanation:

we have: ∠P + ∠Q + ∠R = 180°

<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°

<=> 4x – 14 + 5x + 6 + x - 2 = 180°

<=> 10x - 10 = 180°

<=> 10x = 190

<=> x = 19°

So: ∠R = (x - 2)° = (19 - 2)° = 17°

ok done. Thank to me :>