Which graph represents the solution set for –4(1 – x) ≤ –12 + 2x?

Answers

Answer 1

Answer:

$-4(1-x)\leq-12+2x\qquad\text{use distributive property}\n\n(-4)(1)+(-4)(-x)\leq-12+2x\n\n-4+4x\leq-12+2x\qquad\text{add 4 to both sides}\n\n4x\leq-8+2x\qquad\text{subtract 2x from both sides}\n\n2x\leq-8\qquad\text{divide both sides by 2}\n\n\boxed{x\leq-4}$

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Ethan ran 11 miles in two hours. What is the unit rate of miles to hour?

Answers

11/ 2= 5.5 miles per hour

A researcher found that the sea level rose 1 5 of a centimeter in 2 3 of a year. At what rate did the sea level rise? A) 2 5 centimeter per year B) 3 5 centimeter per year C) 2 15 centimeter per year D) 3 10 centimeter per year

Answers

D) 3/10 per cen. year

Answer:

The answer is D

Step-by-step explanation:

centimeter per year

The sea level rose at a rate of

centimeter per year.

The tail on Alex's dog is 5 1/4 inches long. This length is between which two inch marks on a ruler

Answers

5 and 6 because 5 1/4 = 5.25.
5.25 is less than 6, but greater than 5.

It would be between 5 and 6 because 5 1/4 is 5.25 and that is greater than 5 but less then six. More precisely between 5-5.5

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem that Martin solved

Answers

Answer:

The required division problem he must solve is:

$(2)/(3) / (-3)/(8) =(2)/(3)*(-8)/(3)=(-16)/(9)$

Step-by-step explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select $(2)/(3)$ as one of the card, so that product is a negative number.

Let the selected card be x.

$(2)/(3) / x =(-16)/(9)\n\nx=(2)/(3)/(-16)/(9)\n\nx=(2)/(3)*(-9)/(16)\n\nx=(-3)/(8)$

Hence, the two cards should be $(2)/(3)$ and $(-3)/(8)$

The required division problem he must solve is:

$(2)/(3) / (-3)/(8) =(2)/(3)*(-8)/(3)=(-16)/(9)$

samuel has $1900 in the bank he wishes to increase his account to a total of $2500 by depositing $30 per week from his paycheck. write and solve an equation to find how many weeks he needs to reach his goal

Answers

Th equation is given as 2500 = 30x + 1900. Then the number of weeks he needs to reach his goal will be 20 weeks.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will beone.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Samuel has $1900 in the bank he wishes to increase his account to a total of $2500 by depositing $30 per week from his paycheck.

Let x be the number of weeks. Then the equation will be

2500 = 30x + 1900

Simplify the equation, then we have

30x + 1900 = 2500

30x = 2500 - 1900

30x = 600

x = 600 / 30

x = 20 week