Eight less than ten times a number is 82

Answers

Answer 1

Answer: Eight less than ten is another way of saying 10-8. So it is saying 2 times a number is 82. This can be represented as 2x=82. Divide both sides by 2 to get x=41. So the "number" is 41.

Answer 2

Answer:
Break it down
- Ten times a number --> 10n
- Eight less --> - 8

**So 10n - 8 = 82
Add 8 to both sides
10n = 90
Divide 10 on each side
n = 10

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-1/2x+3=-x+7 what does x equal

Answers

Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x +3 = 7

Subtract 3 from each side

1/2x +3-3 = 7-3

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x = 8

Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?

Answers

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour.Part A) Write a system of inequalities describing the possible numbers of hours “t” and distance “d” you may have to drive.

Part B) Is it possible for you to have driven 160 miles?

Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!

Thank you!

Answers

Final answer:

In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.

Explanation:

Part A:

Let t represent the number of hours you drive and d represent the distance you drive.

The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.

The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.

Part B:

No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:

d ≤ 55t

d ≤ 55(3)

d ≤ 165

Since 160 is greater than 165, it is not within the range of possible distances you can drive.

Learn more about System of Inequalities here:

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Final answer:

The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.

Explanation:

Part A:

To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.

The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.

Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.

Combining these two inequalities, we have: t ≤ 3 and d = t × 55.

Part B:

To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.

Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.

Learn more about system of inequalities here:

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Write an expression to represent Steve's height in inches.

Answers

Final answer:

The expression to represent Steve's height in inches can be denoted as 'H'. 'H' is a variable that represents the unknown quantity, which is Steve's height in this context.

Explanation:

We will denote Steve's height in inches as H. This letter represents a variable, a letter that stands for a number we don't know yet, which, in this case, is Steve's height. In Mathematics, we commonly use letters like this to represent unknown quantities or variables. So the expression to represent Steve's height in inches is H.

Learn more about expressions in Mathematics here:

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Answer:

he is as tall as a Mouse.

explanation:

we can't Write an expression to represent Steve's height inches if we don't know what his height is

So what is Steve's height?

Jonathan has a collection of 400 marbles. Blue marbles make up 17%, percent of his collection. How many blue marbles does Jonathan have?

Answers

17% of 400
percent means parts ou of 100
17%=17/100
'of' means mutiply

17/100 tiems 400=4*17=68

68 blue marbles

To find any percentage of something, just multiply the whole value by the percentage of whatever you're trying to find the value of.
17% converted to a decimal is 0.17. 400*0.17 = 68.
Jonathan has 68 blue marbles in his collection.
Hope that helped you!

Given the function f(x)=-2x-1 and g(x)=-3x 4 which operation results in the smallest coefficient on the x term?a. two operations result in the same coefficient
b. subtraction
c. multiplication
d. addition