The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Answers

Answer 1

Answer:

Answer:

x ≤ -11, Yes. The solution set include -11.

Step-by-step explanation:

$x+4\leq(1)/(2)(x-3)\qquad\text{multiply both sides by 2}\n\n2x+8\leq1(x-3)\n\n2x+8\leq x-3\qquad\text{subtract 8 from both sides}\n\n2x\leq x-11\qquad\text{subtract x from both sides}\n\n\boxed{x\leq-11}$

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Dominic's water jug holds 1.25 quarts. Terrell says he can find thecapacity of the jug in fluid ounces by dividing 1.25 by 32.a. Is Terrell correct? Explain how you know.

Answers

he is not correct you have to multiply 1.25 and 32

a way that I found this out is by using proportions

in one quart there are 32 fluid ounces
so I did
1/32=1.25/x
x=the number of fluid ounces
then I cross multiplied
getting
1x=32×1.25

32×1.25=40
so there is 40 fluid ounces in 1.25 quarts

hope this helps

I multiplied 1.25 x32 and I got 40

Help me pls this is 1/4 questions pls help i give brainliest if right

Answers

Answer:Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

Step-by-step explanation:

It A as 1.5 and 3.7 are negative

> , < or =

-31/8 ____ -3.92

Which one is greater

Answers

Fist convert -31/8 into a decimal =-3.875
so which do you think is greater now?

Final answer:

After converting -31/8 to decimal form (-3.875), it is evident that -31/8 is greater than -3.92 as negative numbers increase in value as they approach zero. The answer is -31/8 > -3.92

Explanation:

To determine the answer, we first need to compare two numbers, -31/8 and -3.92. To make this easier, convert -31/8 into decimal form. -31 divided by 8 equals -3.875.

Now, comparing -3.875 (which is -31/8 in decimal form) and -3.92, we can see that -3.875 is greater, because negative numbers get larger as they approach zero, and -3.875 is closer to zero than -3.92. So the answer is: -31/8 > -3.92.

Learn more about Comparing Numbers here:

brainly.com/question/13505153

#SPJ3

A white-tailed deer can sprint at speeds up to 30miles per hour . American bison can run at speeds up to 3,520feet per minute. Which animal is faster and by how many per hour ? There are 5,280feet in one mile

Answers

Answer:

The Bison is faster by 10 mph.

In 1 minute, the bison runs 3, 520 feet.

In 60 minutes, the bison would run 3520*60 feet = 211, 200 feet per hour.

These are equivalent to 40 miles per hour since 1 mile is equivalent to 5, 280 feet. Hope this helps! ^-^

29) Bob the seagull is is flying 10 feet above sea level and Nemo the fish is swimming 25 feetbelow sea level. How far below Bob is Nemo?

Answers

nemo is 15 feet below bob

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, Proportional. Explain.

Answers

Answer:

The cost in dollars and the amount of yogurt are proportional

Step-by-step explanation:

Proportions

Two variables are proportional if the ratio or division between them is a constant value.

Kareem buys a 32-oz container of yogurt for $2.56. We can compute the ratio of the quantity of yogurt and price 32/2.56 and we get 12.5. Jonah buys a 6-oz container of yogurt for $0.48. The relation is now 6/0.48=12.5

Since both ratios are equal, we can say the amount of yogurt, and the cost in dollars are proportional variables

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