MATHEMATICS MIDDLE SCHOOL

Use the distributive property to create an equivalent expression for 50+10x

Answers

Answer 1

Answer:

Answer:

(5×10)+(1+10x)

Step-by-step explanation:

50/5=10

10/10=1

Answer 2

Answer:

Answer: 10(5+x)

Step-by-step explanation:

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If 5 miles = 8km. how many km in 250 miles?

Answers

250 miles is equivalent to 400 kilometers.

We have,

To find out how many kilometers are equivalent to 250 miles, we can set up a proportion using the given information that 5 miles are equal to 8 kilometers.

5 miles : 8 kilometers

We can set up the proportion:

5 miles / 8 kilometers = 250 miles / x kilometers

To solve for x (the number of kilometers in 250 miles), we can cross-multiply and then divide:

5 miles x (x kilometers) = 8 kilometers x 250 miles

5x = 2000

Dividing both sides by 5:

x = 400

Therefore,

250 miles is equivalent to 400 kilometers.

Learn more about unit conversion here:

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The anwser is 400 km!!!

When Derek planted a tree it was 36 inches tall. The tree grew 1 1/4 inches per year. The tree is now 44 3/4 inches tall. How many years ago did Derek plant the tree?

Answers

Original Height = 36 inches.

Change in height:

$44(3)/(4) - 36 = 8(3)/(4)$

Number of years :

$8(3)/(4) / 1(1)/(4)$

$=(35)/(4) / (5)/(4)$

$=(35)/(4) * (4)/(5)$

$=7$

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Answer; Derek has planted the tree for 7 years.
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5) Mason is paid $14.53 per hour with time and a half for overtime. What will his gross pay be for a pay period in which he worked 37 hours one week and 42 hours the next week, for a total of79 hours?

Answers

Idk what his overtime is, i think u left out part the question. but without overtime it is $1147.87 (14.53 * 79). But to find it you would do 14.53 * regular hours, plus, 14.53/2 ($7.265) * overtime hours

Suppose that g (x) varies inversely with x and g (x)=0.2 when x = 0.1.What is g (x) when x = 1.6?

0.0125
0.032
0.02
0.06

Answers

Answer : 0.0125

Suppose that g (x) varies inversely with x and g (x)=0.2 when x = 0.1.

If x varies inversely with y then y=k/x

Where k is constant of proportionality

g (x) varies inversely with x , so $g(x) = (k)/(x)$

g (x)=0.2 when x = 0.1

Plug in the values and solve for k

$g(x) = (k)/(x)$

$0.2 = (k)/(0.1)$

Multiply 0.1 on both sides

0.02 = k

so $g(x) = (0.02)/(x)$

Now we need to find g(x) when x= 1.6

Plug in 1.6 for x and find out g(x) in the above equation

$g(x) = (0.02)/(1.6)$

g(x)= 0.0125

Answer:

A. 0.0125

Step-by-step explanation:

0.2*0.1= 0.02

.02/1.6 = 0.0125

Took the test and got it correct

For the following system if you isolated X in the second equation to use the substitution method what expression would you substitute into the first equation? 2x+y= 8
-х – Зу = -12

A. зу + 12
B.-3y + 12
C.зу – 12
D.-3y - 12

Answers

Option A. зу + 12 is the right answer

Step-by-step explanation:

The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.

Given equations are:

$2x+y=8\n-x-3y=-12$