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4 years ago

Which ordered pair is a solution to the system of equations?

1 answer:

7 0

The third one is the correct answer
instead of going through the long process of the simultaneous equation just input the first number for the x into the equation and 2nd for y and you get your answer

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Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many d

nadya68 [22]

Oyebolatoba Beginner
Let d = # digital cameras
Let m = # manual cameras

d + m = 240 equation 1

(d-82) = 3(m-26) equation 2
d - 82 = 3m - 78
d - 3m = 82 - 78
d - 3m = 16 equation 2 simplified

We have two equations with 2 unknowns:

d + m = 240
d - 3m = 16 subtract equation 1 from equation 2
---------------
-4m = -224
m = -224/-4
m = 56

d + m = 240
d = 240-m
d = 240-56
d = 184

He started with 184 digital cameras and 56 manual cameras

5 0

3 years ago

Find the value of x =

Maksim231197 [3]

Line TU is 2 times OL, so 2(2x-14) = x+2.
4x-28 = x + 2
4x=x+30
3x=30
x=10

4 0

3 years ago

What is the length of the equilateral triangle below

jeyben [28]

Answer:You gotta show the triangle before we can answer the question.

Step-by-step explanation:

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3 years ago

If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?

fgiga [73]

I think it’s 6 cups

8 0

3 years ago

Read 2 more answers

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

bixtya [17]

The correct option is (b) h=0.5cos( $\pi$ /6t)+9.5.

The equations can be used to model the height as a function of time, t, in hours is h=0.5cos( $\pi$ /6t)+9.5.

<h3>Equation of cosine function:</h3>

The following is a presentation of the cosine function's generic form;

y = a + cos(bx - c) + d

amplitude = a

b = cycle speed

Calculation for the model height;

The height, h (feet) of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.

Obtain amplitude 'a' as

$\begin{aligned}a &=\frac{\text { Maximum value }-\text { Minimum value }}{2} \\a &=\frac{10-9}{2} \\a &=\frac{1}{2} \\a &=0.5\end{aligned}$

The time 'T' is calculated as-

$\begin{aligned}&\mathrm{T}=\frac{2 \pi}{\mathrm{b}} \\&12=\frac{2 \pi}{\mathrm{b}} \\&\mathrm{b}=\frac{2 \pi}{12} \\&\mathrm{~b}=\frac{\pi}{6}\end{aligned}$

Now, calculate 'd'

$\begin{aligned}&\mathrm{d}=\frac{\text { Maximum value }+\text { Minimum value }}{2} \\&\mathrm{~d}=\frac{10+9}{2} \\&\mathrm{~d}=\frac{19}{2} \\&\mathrm{~d}=9.5\end{aligned}$

Therefore, with the height as a function of time, t, expressed in hours, can be modeled by the following equations:

h=0.5cos( $\pi$ /6t)+9.5

To know more about the general equation of a cosine function, here

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The complete question is-

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.

A. h=0.5cos( $\pi$ /12t)+9.5

B. h=0.5cos( $\pi$ /6t)+9.5

C. h=cos( $\pi$ /12t)+9

D. h=cos( $\pi$ /6t)+9

7 0

2 years ago