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Alex Ar [27]
3 years ago
15

Yong is measuring two pyramids whose bases are rectangles.

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

Answer is 7/2 cm

Step-by-step explanation:

1. Set a ratio

7=\frac{3V}{l*w}:h=\frac{3V}{l*2w}

2. Move 2w from denominator to LHS (Left hand side)\frac{7}{2}w=\frac{3V}{l}

\frac{7}{2w}=\frac{3V}{l}

3. The four options are 7/4, 7/2, 14 or 28 cm

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Hilda was simplifying some numerical expressions and made each of the following sequences of calculations. Name the mathematical
Galina-37 [17]

Answer:

Problem 1:

5 · (−4/3) · (2/5)

= (−4/3) · 5 · (2/5)   <em>Conmutative Property of Multiplication</em>

= (−4/3) · (5 · (2/5))  <em>Associative Property of Multiplication</em>

= (−4/3) · (2/1) = −8/3 = −2*2/3<em> Multiplied fractions and extracted common factor</em>

Problem 2:

17 + 29 + 3+ 1

= 17 + 3 + 29 + 1  <em>Conmutative Property of Addition</em>

= (17 + 3) + (29 + 1)  <em>Associative Property of Addition</em>

= 20 + 30 Added groups

= 50 Added terms

Step-by-step explanation:

<u>For the Problem 1:</u>

In the first step, Hilda applied the <em>Conmutative Property of Multiplication</em>, because she changed the order of the numbers in the product

In the second step, she applied the <em>Associative Property of Multiplication, </em>because she agrouped the product of 5 and<em> </em>2/5 to perform it sepparately

In the third step, she calculated<em> the product of the fractions</em> -4/3 and 2/1, then she extracted 2 as a <em>common factor</em> to express the fraction as -2*2/3

<u>For the Problem 2:</u>

In the first step, Hilda applied the <em>Conmutative Property of Addition, </em>because she changed the order of the numbers in the sum

In the second step, she applied the<em> Associative Property of Addition, </em>because she associated the addition of 17 and 3 and the addition of 29 and 1, to calculate them in groups.

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4 0
3 years ago
Read 2 more answers
Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than
shtirl [24]

Question:

Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?

A- y>0

B- y>3

C. y<3

D. 0

Answer:

y > 3

Step-by-step explanation:

Number of years Charlotte has worked = x

Number of years Travis has worked = y. ie, y = 3+x

Let's assume the function reaches its lowest point at 3. There could also be a higher value for this function.

We now have:

f(x) = y > 3

Since Travis has been working for the same company exactly 3 years longer than Charlotte the range of the relationship is y>3

5 0
3 years ago
F(x) = 4x - 1<br> g(x) = x2 - 4x<br> Find f(g(3))
nasty-shy [4]

Answer:

-13

Step-by-step explanation:

hello,

Replace x by the value as below

g(3)=3^2-4\times3=9-12=-3\\f(g(3))=f(-3)=4\times(-3)-1=-12-1=-13\\

Thanks

5 0
3 years ago
IS THIS CORRECT??????????
Alika [10]
The correct answers are the 3rd and 4th ones.
7 0
3 years ago
Read 2 more answers
A. Are the expressions 3(m - 2) + 2(m - 2) and 5(m - 2) equivalent expressions?
Lena [83]

Answer:

Step A. 3(m - 2) + 2(m - 2) and 5(m - 2) are equivalent expressions.

Step-by-step explanation:

Step B. If you calculate 3(m - 2) + 2(m - 2) you will see it will equal to 5(m - 2) therefore, they are equal.

Hope I Helped I'm New! :D

8 0
3 years ago
Read 2 more answers
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