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3 years ago

Simplify the expression. 3/8 m^3 + 7 - 1/2 m^3 =

Mathematics

1 answer:

Verdich [7]3 years ago

5 0

9514 1404 393

Answer:

-1/8 m^3 +7

Step-by-step explanation:

The only like terms are 3/8m^3 and -1/2m^3. Adding their coefficients, you get ...

(3/8 -1/2)m^3 = (3-4)/8m^3 = -1/8m^3

Then the simplified expression is ...

-1/8m^3 +7

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3 years ago

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worty [1.4K]

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3 years ago

Mary has a collection of nickels and quarters for a total of $4.90. If she has 42 coins in total, how many of each kind are ther

damaskus [11]

Answer:

14 quarters and 28 nickels

Step-by-step explanation:

System of Equations where x = number of quarters and y = number of nickels

(1) equation with value of each coin

0.25(x)+0.05(y) = 4.90

(2) total number of coins

x + y = 42

Solve system of equations using either substitution or elimination

(elimination multiplying equation 2 by -0.5)

.25(x) + 0.05(y) = 4.90

-0.05(x) - 0.05(y) = 42 * (-0.05)

(3) Resulting equation

.20(x) = 2.8

x = 14

plug x into equation 2

14 + y = 42

y = 28

There are 14 quarters and 28 nickels in Mary's collection.

5 0

3 years ago

A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train? m

viva [34]

Answer: 20.2 mph

Step-by-step explanation:

Given

Train travels 10.1 miles in half an hour i.e.

Distance $d=10.1\ \text{miles}$

time $t=0.5\ hr$

we know, $\text{distance=speed}\times\text{time}$

Insert the values

$\Rightarrow 10.1=v\times 0.5\\\Rightarrow v=20.2\ mph$

6 0

3 years ago

2/3 divide by 4/5?

Alenkasestr [34]

Answer:

$\frac{5}{6}$

Step-by-step explanation:

$\frac{2}{3}$ ÷ $\frac{4}{5}$

↓ ↓ ↓

leave it change it turn it over

$\frac{2}{3}$ × $\frac{5}{4}$

now solve it

$\frac{2}{3}$ × $\frac{5}{4}$ = $\frac{10}{12}$

now simplify it

$\frac{10}{12}$ = $\frac{5}{6}$

4 0

3 years ago

Simplify the expression. 3/8 m^3 + 7 - 1/2 m^3 =​

Simplify the expression. 3/8 m^3 + 7 - 1/2 m^3 =