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Gekata [30.6K]
3 years ago
7

So far, Monica has read ã of a book. She

Mathematics
1 answer:
serg [7]3 years ago
5 0
How many pages are their?
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Which is a factor of 21?<br> 4<br> 3<br> 6<br> 5
arsen [322]

Answer:

3

Step-by-step explanation:

Using listing:

1 \times 21 = 21

3 \times 7 = 21

No other factors are possible.

Hence, 1, 3, 7 and 21 are factors of 21.

3 0
3 years ago
Read 2 more answers
Please help me
Helen [10]

Answer:

12.5

Step-by-step explanation:

75 divided by 6 is 12.5

5 0
2 years ago
Read 2 more answers
The Boy Scouts self popcorn Ethan sold 9 small
NARA [144]

Answer:

The cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag of popcorn   = $4.75

Step-by-step explanation:

Here, let us assume the cost of 1 small bag of popcorn = $ m

And,  the cost of 1 large bag of popcorn = $ n

So, the cost of 9 small bag = 9 x ( cost of 1 small bag)  = 9 x (m) = 9 m

and  the cost of 2 large bag = 2 x ( cost of 1 large bag)  = 2 x (n) = 2 n

Also, cost of 9 small + 2 large bag of popcorn sold by  Ethan for   $ 36.05 .

⇒ Total cost of 9 small + 2 large bag of popcorn =  9 m + 2 n

⇒ 9  m +  2 n =  $ 36.05  ..........  (1)

Also, the cost of 5 small bag = 5 x ( cost of 1 small bag)  = 5 m

and  the cost of 7 large bag = 7 x ( cost of 1 large bag)  = 7 n

Also, cost of 5 small + 7 large bag of popcorn sold by  Jack for   $ 48 .

⇒ Total cost of 5 small + 7 large bag of popcorn =  5 m + 7 n

⇒ 5 m +  7 n =  $ 48 ..........  (2)

Now, solving (1) and (2) for the values of m and n , we get

9  m +  2 n =   36.05

5 m +  7 n =  48

Multiply (1) with (-7) and (2) by 2 , add both equation we get:

-63 m - 14 n  + 10 m + 14 n =  -252.35 + 96

or, - 53 m = -156.35

or, m =   2.95

Now, put the value of m in (1), we get:  5 ( 2.95) + 7 n =  48

or, n =  33.25 /7 = 4.75

Hence the cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag  = $4.75

6 0
3 years ago
Read 2 more answers
How do you factor polynomials​
Daniel [21]

Step-by-step explanation:

<em>How do you factor a polynomial? </em>

<em>follow these steps: </em>

<em>1.Check for the GCF first. ... </em>

<em>2.Multiply the quadratic term and the constant term. ... </em>

<em>3.Write down all the factors of the result, in pairs. ... </em>

<em>4.From this list, find the pair that adds to produce the coefficient of the linear term.</em>

7 0
2 years ago
Read 2 more answers
The profit P (in dollars) from selling x calculators is P=25x(-10x+ 250). How many calculators are sold when the profit is $425?
Crank
Okay, so this is what I came to. I think that you might need to look through the placement of the problem again and your x's, but other than that, here it is!

Step 1: Simplify both sides of the equation.<span>425=<span><span>−<span>250<span>x2</span></span></span>+<span>6250x

</span></span></span>Step 2: Subtract -250x^2+6250x from both sides.<span><span>425−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span>=<span><span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span></span><span><span><span><span>250<span>x2</span></span>−<span>6250x</span></span>+425</span>=0
</span>
Step 3: Use quadratic formula with a=250, b=-6250, c=425.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(<span>−6250</span>)</span></span>±<span>√<span><span><span>(<span>−6250</span>)</span>2</span>−<span><span>4<span>(250)</span></span><span>(425)</span></span></span></span></span><span>2<span>(250)</span></span></span></span><span>x=<span><span>6250±<span>√38637500</span></span>500</span></span><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√15455
</span></span></span></span><u>
Answer:</u><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√<span>15455</span></span></span></span></span>
6 0
3 years ago
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