Paul is running Tennis shop. He sells balls and rackets. Rackets (R) cost $1.20 each and Balls (B) cost $2:0 each. At the end of a month, Paul made a total of $70 and sold a total of 90 Rackets and Balls combined. Which system of equations represents this situation?

A. 2R + 1.20B = 90, B - R = 160.
B. 1.20R + 2B = 90, R - B = 90
C. 1.20R + 2B = 70, and R + B = 90
D. 1.20B + 2R = 90 and 2B + R = 70

Answer:

7.21 units

Step-by-step explanation:

hope this helps!

The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.

The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06

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Answer:

x = 9#

Step-by-step explanation:

need help with answer just ask me i got yall

Answer:

it actually equals 5

Step-by-step explanation:

the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.

Answer:

the correct answer is 4

Step-by-step explanation:

2 + 2 = 4

hope this helps

have an awesome day -TJ :)

Answer:

525 degrees

Step-by-step explanation:

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

If we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:

P'(x,y) = (5, -6) + (-4, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]

Statement is incorrect and poorly formatted. Correct form is shown below:

What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?

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Answer:

Alright so the answer is B but I'll explain why because im nice ig.

Step-by-step explanation:

So lets do some calcumalations.

We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.

So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.

3(4)^1-1 = 3(1); that's the answer

4^1-1 = 1, + 3 = 4 so that wont work either

I hope this helps ya have a great afternoon

Answer:

22 [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

400/3*6

400/18 = 22 [tex]\frac{2}{9\\}[/tex]

or 22.222 to the nearest thousandths.

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

Answer:

150

Step-by-step explanation:

$600/$4 =150

=150 installments

The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.

It should be noted that the volume of a door is simply gotten by multiplying the length by width.

Let's assume that the width is 20 inches. Therefore, the difference will be:

= (36 × 20) - (30 × 20)

= 720 - 600

= 120 inches³

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Answer:

58.50

Step-by-step explanation:

C.$58.50

|| ▼ Answer ▼ ||

|| ✪ Solution ✪ ||

Step 1:

In this question, we are given the following:

A teenager puts $50 into an investment account in January.

If by December the balance in the account increases by 17%,

what is the amount of money in the account in December?

Step 2:

In this case, we are going to use:

[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]

Here, Principal = $ [tex]50[/tex]

Rate = 17%

[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]

Then, we have that:

[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]

[tex]Amount=50~(~1+0.17~)^{1}[/tex]

[tex]Amount=50~(~1.17)[/tex]

[tex]Amount=[/tex] $ 58.50 (Option B)

CONCLUSION:

The amount of money in the account in December = $ 58. 50 ( OPTION B )

Hope this helps!

If you have any queries please ask.

Answer:

This is a sequence, so we have to move forward step by step

Step-by-step explanation:

4,3,9/4,27/16

Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]x = 4.4.4.4.4[/tex]

[tex]x = 4[/tex]

Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance

The answer is

[tex]x \times y = 144 = 614.88[/tex]

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

Answer:

m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)

4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2

Answer:

10 red
8 white
6 yellow

Step-by-step explanation:

1/3 of 24 is 8 white
1/4 of 24 is 6 yellow
8+6 is 14
24-14 is 10
there are 10 red

Answer:

218

Step-by-step explanation:

the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2

A^2 + 256 = 400

400 - 256 = 144

Square root of 144 is 12

Unknown side is 12

Find the area of the triangle:

16 x 12 = 192

192/2 = 96

The area is 96

Now find the area of the circle:

pi x the radius^2

The diameter is 20, so the radius is 10

Pi x 10^2 = 314

314 - 96 = 218

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]

[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]

12.76 cubic yards

the answer should be 10.13979682

Function:

[tex]\sf 2\left(3\right)^{x}+2[/tex]

Find y-intercept:

[tex]y=2\left(3\right)^{0}+2[/tex]

[tex]y=\sf 4[/tex]

option B is correct as it cuts y-intercept at 4

Answer:

This is a positive exponential graph with a y-intercept of 4 (when x is 0, y is 4)

Hope this helps!

Answer:

84

Step-by-step explanation:

asked siri

Answer:

84

Step-by-step explanation:

take the percentage and turn it into a decimal so 75 becomes .75

multiply the decimal by the number

.75 x 112 = 84

Answer:

82.358

Step-by-step explanation:

You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.

676 • 122 - 45 + 69

82,472 - 45 + 69

Then you add because A is next.

82,472 - 114

Then finish it

82,358

Your answer would be = 82,358

I hope it helps! Have a great day!

Muffin ^^

Answer:

Step-by-step explanation:

For the zeros, c is shows the correct number of zeros -- 7.

But you should note that the answer ought to contain the correct number of sig digs. There are 3. 692 The 2 cannot be dropped. Still your answer is correct.

The cable and the mass forms a right triangle

The length of the cable is 260 meters

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

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Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

1. dx/dt = 2x - y

2. dy/dt = x

Substituting y = -dx/dt into the second equation,

dy/dt = x - t

-d²x/dt² = x - t

Now, assume a particular solution of the form x = At + B,

where A and B are constants.

Substituting this into the differential equation,

-A = At + B - t.

Equating the coefficients of t on both sides,

A = -1 and B = 0.

Thus, the particular solution is x = -t.

Now, integrating dx/dt = -yt,

x = -yt + C₁

Finally, substituting x into the particular solution x = -t,

-t = -yt + C₁.

Solving for y, obtain y = t²/2 + C₁t + C₂.

Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

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#SPJ4

Answer:

_

113 -✓5

Step-by-step explanation:

_

113-(-(-✓5))

_

=113-✓5 (decimal:110.763932)

Answer:

b = 0

Step-by-step explanation:

x -3 (2x-3) + 5x = bx + 9

x - 6x +9 + 5x = bx + 9

-9 -9

x - 6x + 5x = bx

-5x + 5x = bx

0 = bx

b/x 0/x

b = 0