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3 years ago

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An office supply store sells pencils individually or by the case. Pencils purchased individually cost $0.97 each. One case of fo

rty pencils costs $37.20. You have an annual budget of $95.00 for pencils.
Without exceeding the annual budget of $95.00, you can purchase _____ individual pencils.

2 answers:

sladkih [1.3K]3 years ago

8 0

0.97, add 7 to the five

mihalych1998 [28]3 years ago

6 0

You can purchase 97 individual pencils because 0.97*97=94.09 and if you do 98 it goes over the mark so 97 is the answer.

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Pete sells a Party Pleaser pizza. He uses 12 oz of cheddar cheese and twice that amount of mozzarella cheese. How much cheese do

lisov135 [29]

Answer:

36oz

Step-by-step explanation:

12x2=24

24+12=36

4 0

3 years ago

A fraction reduces to 36. If its denominator is 6x^5, what it's its numerator?

earnstyle [38]

The answer is B because you will cancel the x^5 part on top and bottom and the numerator left 6^3 and denominator left 6
6^3=216divid by 6 you will get 36

6 0

3 years ago

Read 2 more answers

How do you solve this?

puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let $x$ represent the width.

Since the length is 7 feet longer, we can represent the length by $x+7$ .

Now that we have our values for the length and the width we can multiply them together to find our area.

$(x)(x+7)=x^{2} +7x$

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

$(x+7)(x+14)$

And multiply our area by 3.

$3(x^{2} +7x)$

set these equal to each other to find your new equation.

$(x+7)(x+14)=3(x^{2} +7x)$

Now you need to solve for $x$ . To do this first muliply $(x+7)$ and $(x+14)$ .

$(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98$

Then multiply $3(x^{2} +7x)$

$3(x^{2} +7x)=\\3x^{2} +21x$

Now you can begin solving for $x$ .

$x^{2} +21x+98=3x^{2} +21x$

Subtract $x^{2}$ from both sides.

$21x+98=2x^{2} +21x$

Subtract $21x$ from both sides.

$98=2x^{2}$

Divide by 2.

$49=x^{2}$

And finally take the sqaure root of both sides.

$\sqrt{x^{2} }=\sqrt{49}\\x=7$

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of $x$ , we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0

4 years ago

Combine Like Terms:<br><br> 7X + 3M - 2(2X + 8) + 24 + 8M - X<br> so hard

Elza [17]

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

7 0

2 years ago

Read 2 more answers

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

Assoli18 [71]

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

$(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)$

Group terms that contain the same variable

$(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y$

$0-2xy^{5}+3x^{4}y$

$-2xy^{5}+3x^{4}y$

The sum is a binomial ( two terms) with a degree of 6

$-2xy^{5}$ has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

6 0

3 years ago

Read 2 more answers