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2 years ago

Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.

Mathematics

1 answer:

Alina [70]2 years ago

8 0

Hey there!

Combine Like Terms and see if the expressions are equivalent or not.

6x-4-x

6x-x-4

5x-4

Is 5x-4 equivalent to 7x-4? No.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

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In one hour, 17 cars drive through an intersection. Two-fifths of the 17 cars fail to come to a complete stop at the stop sign.

Rasek [7]

Answer:

Step-by-step explanation:

When you have a number (17) and want to know some fraction (2/5) of that number, you should multiply the number by the fraction.

17 * (2/5)

= (17*2)/5

= 34/5

= 6.8

You can then round this number up --> about 7 cars.

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3 years ago

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A park charges $12 for 1 round of mini golf and a reduced fee for each additional round played. If Tom paid $47 for 6 rounds of

faltersainse [42]

Set it up as an equation: 12 + 6x = 47
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12 + 6x = 47
12 - 12 + 6x = 47 - 12
6x = 35
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3 years ago

Sam’s two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large

Gre4nikov [31]

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3 years ago

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If 1/2 of 12 were 8 what would 1/3 of 36 be

alexandr1967 [171]

Answer:

1/3 of 36 is 12

Step-by-step explanation:

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3 years ago

Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inche

Vanyuwa [196]

Answer:

Which pyramid has a greater volume? the first pyramid (left pyramid) with a volume of $42in^3$

How much greater is its volume? its volume is $2in^3$ greater than the second (right) pyramid

Step-by-step explanation:

Equation to find the volume of a pyramid:

$V=\frac{A_bh}{3}$

where $A_b$ is the area of the base, and $h$ is the height.

First pyramid:

length: $l=7in$

width: $w=6in$

height: $h=3in$

Area of the rectangular base:

$A_b=lw\\A_b=7in*6in\\A_b=42in^2$

Volume of the first pyramid:

$V_1=\frac{A_bh}{3}\\ \\V_1=\frac{42in^2*3in}{3} \\\\V_1=\frac{126in^3}{3} \\\\V_1=42in^3$

Second pyramid:

length: $l=4in$

width: $w=3in$

height: $h=10in$

Area of the rectangular base:

$A_b=lw\\A_b=4in*3in\\A_b=12in^2$

Volume of the second pyramid:

$V_2=\frac{A_bh}{3} \\\\V_2=\frac{12in^2*10in}{3}\\ \\V_2=\frac{120in^3}{3} \\\\V_2=40in^3$

Which pyramid has a greater volume? the first pyramid (left pyramid) with a volume of $42in^3$

How much greater is its volume? its volume is $2in^3$ greater than the second (right) pyramid

8 0

3 years ago