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Lady bird [3.3K]
3 years ago
8

The table below shows the amount Allen earns for tutoring based on the number of hours he tutors.

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

15

Step-by-step explanation:

x=hours

y=earnings

y=rx

30=2r

30/2=r

r=15

Hope this helps!!!

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The lead statue of the Korean War Memorial in Washington DC casts a 43.5 inch shadow at the same time a nearby tourist casts a 3
AfilCa [17]

Answer:

The lead statue is 87 inches tall

Step-by-step explanation:

Let

x ----> the height of the lead statue

using proportion

we know that

The height of the  lead statue divided by the length of his shadow must be equal to the height of the tourist divided by the length of his shadow.

so

\frac{x}{43.5}=\frac{64}{32}\\\\\frac{x}{43.5}=2\\\\x=2(43.5)\\\\x=87\ in

3 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
2 years ago
How can you show your work on rounding
MAXImum [283]
U can show your work by underlining what your rounding and showing which place it is it the right of it but there is no mathematical work
6 0
3 years ago
Read 2 more answers
Can someone help me with this?? explain if you would like
vova2212 [387]

Answer:

answer is 38 yd

Step-by-step explanation:

area of square =1444 yd^2

z^2=1444 yd^2

z=\sqrt{1444yd^2

z=38 yd

Hope this helps u!!

5 0
3 years ago
20 divided by 2 (5+5)=
AveGali [126]
<span>The correct answer is 1.

Explanation:
The way this is written, everything after the words "divided by" would be calculated first; it is written as though this is a grouping, such as 20/(2*(5+5)). We would evaluate the innermost parentheses first; 5+5=10. Then this gives us 2*10=20 in our parentheses. 20/20 = 1.</span>
6 0
3 years ago
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