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andreev551 [17]

3 years ago

15

Shaheem has $100 at most to spend on socks and sneakers. He finds a pair of sneakers that he likes for $85. If socks are $3 per

pair, how many pairs could Shaheem buy?
(a) Write an inequality to represent this question

b) Solve and graph the inequality

1 answer:

madam [21]3 years ago

3 0

Answer:

5 pair

Step-by-step explanation:

$15 left ,,,,,, 5(3)=15

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Assuming you are creating a book with 991 pages with a size of 8.5in x 11in, how many words will the story be?

KiRa [710]

This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.

Doing this, we get that the story will be composed of 792,800 words.

-------------------------------------------

According to the table, pages of dimensions 8.5in x 11in have 800 words.
The book has 991 pages, of 8.5in x 11in dimensions.

Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:

$991 \times 800 = 792,800$

The story will be composed of 792,800 words.

A similar question is given at brainly.com/question/19905617

7 0

2 years ago

What is the height of the cone below?

melisa1 [442]

The formula of a volume of a cone:

$V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2$

Substitute:

$90=\dfrac{1}{3}\cdot18\cdot h\\\\90=6h\qquad|\text{divide both sides by 6}\\\\15=h\to h=15$

<h3>Answer: 15 cm.</h3>

3 0

3 years ago

X^4-x^2-42=0 <br>need to solve equation and find solution set

Ipatiy [6.2K]

That's a quadratic equation in $x^2$ , which means we get an extra square root and $\pm$ at the end.

$x^4 - x^2 - 42 = 0$

We factor,

$(x^2 - 7)(x^2+6) = 0$

$x^2 = 7 \quad \textrm{or} \quad x^2 = -6$

$x = \pm \sqrt{7} \quad \textrm{or} \quad x = \pm i \sqrt{6}$

5 0

3 years ago

Someone please help me will give BRAILIEST!!!!!!

Kipish [7]

The answer would be 15

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

2 years ago