PLEASE HELP ME WITH THIS MATH QUESTION!!!!!!!

Carmen has a $350 gift card to spent at Modell's. She wants to buy 2 pairs of sneakers that cost $100 each. She wants to find th

tatyana61 [14]

Answer:

The inequality is $200 + x*$8≤ $350

Step-by-step explanation:

An inequality is an inequality between letters (unknowns) and numbers related by arithmetic operations. Its solution set is the set of real numbers that satisfy it. In other words, an algebraic inequality in which its members are linked by the signs <(less than), ≤ (less than or equal to),> (greater than) or ≥ (greater than or equal to) is called an inequality.

Solving an inequality is to find the values of the unknown for which the inequality holds. The solution of an inequality is an interval or a union of intervals of real numbers.

In this case, you know that Carmen wants to buy 2 pairs of sneakers that cost $ 100 each.So the 2 pairs of sneakers will cost Carmen:

2 * $ 100 = $ 200

On the other hand, Carmen wants to find the possible amount of socks that she can buy, knowing that a pair costs $ 8. Being x the amount of socks that she can buy, then Carmen spends on socks:

x*$8

Knowing that Carmen has a $ 350 gift card to spend at Modell's, then what she spent on sneakers and socks cannot be more than $ 350. That is to say, the sum of what was spent on sneakers and socks must be less than or equal to $ 350, because Carmen cannot spend more than she has. This is expressed by the following inequality:

$200 + x*$8≤ $350

Solving for x:

x*$8 ≤ $350 - $200

x*$8≤ $150

x≤ $\frac{150}{8}$

x≤ 18.75

Carmen can buy 2 sneakers and 18 or fewer socks with the $ 350 gift card.

3 0

3 years ago

What is the equation of a line that is perpendicular to y=0.25x-7 and passes through the point -6,8

Olenka [21]

Answer:

The equation ls: y = -4x - 16

Step-by-step explanation:

Given the point (-6, 8)

Given the line y = .25x - 7

Use a fraction:

y = 1/4x - 7

The slope is 1/4 (or .25)

The slope of a perpendicular line is the negative inverse or -4.

Use the point slope form and substitute:

y - y1 = m(x - x1)

y - 8 = -4(x - (-6))

y - 8 = -4x - 24

y = -4x - 16

Proof:

f(-6) = -4(-6) - 16

= 24 - 16

= 8, giving (-6, 8)

7 0

3 years ago

The measurement of the edge of a cube is measured to be 12 inches, with a possible error of 0.03 inch. Use differentials to appr

adoni [48]

Answer:

A) possible error = 12.992

Possible values for the volume [1715,007,1740.992]

B) possible error = 4.325

Possible values for the surface area [859,675,868,325]

Step-by-step explanation:

The volumen of a cube is the cube of the length of a side. Thus, the meassurement of the volume is 12³ = 1728 inches³. To calculate the error, lets call Y the real value of the length,

Y = X + e, where e is the error and X = 12.

Y³ = (X+e)³ = X³ + 3X²e + 3Xe² + e³

the error is 0.03 inches, so we have that

Y³ = X³ + 12.96+0.0324+ 0.000027 = X³+12.992427 = X³+12.992 (rounded to 3 decimal places).

Thus, the absolute possible error is Y³- X³ = 12.992, and the volume of the cube is contained in the interval [X³-12.992,X³+12.992] = [1715,007,1740.992]

B) The surface area is 6 X². With X meassured as 12, the surface area is meassured by 6*12² = 864.

To calculate the absolute error, we take Y = X+e, with X and e as before. We have

6 Y² = 6*(X+e)² = 6X²+12Xe+6e² = 6X²+4.32+0.0054 = 6X²+4.3254

Hence, the absolute error is bounded by 6Y²-6X² = 4.3254 rounded by 4.325, and the value of the surface area is contained in the interval [6X² -4.325, 6X²+4.325] = [859,675, 868,325]

3 0

3 years ago

A jar contains 5 blue marbles, 6 yellow marbles, and 4 green marbles. What is the probablity of randomly choosing a yellow marbl

marusya05 [52]

First, you need to choose a yellow marble. That is 6/15.

Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.

So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.

4 0

3 years ago

Please help, will give brainlist

Marrrta [24]

Answer:

8

Step-by-step explanation:

compare the divisor x+1 with x-a which will be -1 then use remainder theorem to get your answer

5 0

3 years ago