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kozerog [31]
3 years ago
15

Amy is training for a half marathon. in practice, she runs 2 miles in 15 minutes. If she continues at the same rate, how many mi

les will she run in 1 hour?
A. 4
B. 8
C. 16
D. 30
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Step-by-step explanation:

B. 8

she will run for 8 miles,

<h2>step</h2>

find Amy's speed

convert the minutes into hours by dividing by 60

\frac{2}{15 \times  \frac{1}{60} }  \\  = 8 \: miles \: per \: hour

find the number of miles ran by multiplying the speed by the time, ie

8 \times 1 = 8 \\  \: therefore \: the \: answer \: is \:  \: 8 \: miles

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hammer [34]

x = 3,-1, multiplicity of 2.

Therefore, it is 4-degree polynomials. (considering that x = 3,-1,2,2)

We just convert these x-values into x-intercept form and convert again in standard form by multiplying.

(x-3)(x+1)(x-2)²

(x²-2x-3)(x²-4x+4)

(x⁴-4x³+4x²-2x³+8x²-8x-3x²+12x-12)

Thus the answer is x⁴-6x³+9x²+4x-12

7 0
3 years ago
Juan wishes to build a garden at the bottom of his property. He wants to split it in two, like the diagram below, so he can plan
SCORPION-xisa [38]

Answer:

20 ft by 60 ft

Step-by-step explanation:

"What should the dimensions of the garden be to maximize this area?"

If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:

120 = 3x + y

And the area is:

A = xy

Use substitution:

A = x (120 − 3x)

A = -3x² + 120x

This is a downward facing parabola.  The maximum is at the vertex, which we can find using x = -b/(2a).

x = -120 / (2 · -3)

x = 20

When x = 20, y = 60.  So the garden should be 20 ft by 60 ft.

4 0
3 years ago
What is the exponent?
pishuonlain [190]
A exponent is the smaller number you will see sometimes on the top of a number or to the right of it but smaller than normal font
8 0
3 years ago
Read 2 more answers
Plz help me I need your help badly plz help me with this question I need your help plz help me I’m begging you plz help me plz p
7nadin3 [17]
It is 255 cm^2

This is a very basic area problem. You should try refreshing on some of your multiplication and addition skills. Try reading patterns, maybe. Also learning geometric proofs is VITAL.
3 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1
Tanya [424]

Answer:  x = 4, y = 3

<u>Step-by-step explanation:</u>

y=\dfrac{1}{4}x+2    and      y=x-1

Using substitution method we get:

x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3

3 0
3 years ago
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