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adell [148]
3 years ago
14

A shoe store is selling 3 pairs of shoes for $26.25 . If a mother is buying 4 pairs of shoes for her children for school, how mu

ch will she spend?
Mathematics
2 answers:
elena-s [515]3 years ago
7 0

Answer: $35

Step-by-step explanation: If three pairs of shoes cost 26.25 you need to divide that by 3 to get the individual price of each pair of shoes, then add the price of the shoe individually to 26.25 and you will get your answer.

Fantom [35]3 years ago
3 0

Answer: $35

Explanation: 3 pairs of shoes = $26.25

1 pair of shoes = $26.25/3 = $8.75

$26.25 + $8.75 = $35

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16

Step-by-step explanation:

The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.

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Equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
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3 years ago
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The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
3 years ago
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A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t repre
IrinaVladis [17]
For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2 
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
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3 years ago
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I need help with problem
pychu [463]

Answer:

f(x)=4x(x-3)

Vertex=3/2, -9

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First, factorize it.

That is equal to 4x(x-3)

Therefore, x intercepts are 0 and 3, as  at least one of them need to be 0.

To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2

Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.

The vertex will by 3/2, -9

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2 years ago
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