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3 years ago

Algebra 2 help? Factor 1052 - 82 into two prime factors. 1052 - 82 = (?)(?)

1 answer:

5 0

The answer is 97 · 113.

105² - 8² is the differences of squares.
The general formula of the differences of squares can be expressed as:
a² - b² = (a - b)(a + b)
In expression 105² - 8², we can cay that a = 105 and b = 8. Therefore:
105² - 8² = (105 - 8)(105 + 8) = 97 · 113
Both 97 and 113 are prime numbers.

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How do you solve -5(5x+7)

kherson [118]

Answer:

x=7

Step-by-step explanation:

5x%2B7=6x Start with the given equation.

5x=6x-7 Subtract 7 from both sides.

5x-6x=-7 Subtract 6x from both sides.

-x=-7 Combine like terms on the left side.

Divide both sides by -1 to isolate x.

x=7 Reduce.

3 0

3 years ago

Read 2 more answers

A 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia). At a summer cam

bagirrra123 [75]

Answer:

Probability that at least one of them suffers from arachnophobia is 0.5160.

Step-by-step explanation:

We are given that a 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia).

Also, At a summer camp there are 10 teenagers sleeping in each tent.

Firstly, the binomial probability is given by;

$P(X=r) =\binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,....$

where, n = number of trials(teenagers) taken = 10

r = number of successes = at least one

p = probability of success and success in our question is % of

the teenagers suffering from arachnophobia, i.e. 7%.

Let X = Number of teenagers suffering from arachnophobia

So, X ~ $Binom(n= 10,p=0.07)$

So, probability that at least one of them suffers from arachnophobia

= P(X >= 1) = 1 - probability that none of them suffers from arachnophobia

= 1 - P(X = 0) = 1 - $\binom{10}{0}0.07^{0}(1-0.07)^{10-0}$

= 1 - (1 * 1 * $0.93^{10}$ ) = 1 - 0.484 = 0.5160 .

Therefore, Probability that at least one of them suffers from arachnophobia is 0.5160 .

3 0

3 years ago

Work out the balance for 1500 invested for 2 years at 3.7% per annum.

Andru [333]

1500 x 1.037 = 1555.50
1555.50 x 1.037 = 1613.05

8 0

3 years ago

Kids bought a package with 2 9/ 16 lb of ground meat to make hamburgers he was he has 2/5 pound of ground meat left about how ma

poizon [28]

Answer:

The quantity of ground meat he use for hamburgers is 2 $\frac{13}{80}$ pounds

Step-by-step explanation:

Given as :

The total quantity of ground meat bought to make hamburgers = 2 $\frac{9}{16}$

Or, The total quantity of ground meat bought to make hamburgers = $\frac{41}{16}$ pound

The quantity of ground meat left after use = $\frac{2}{5}$ pound

Now, let The quantity of ground meat used for hamburgers = x pound

So, x = The total quantity of ground meat bought - The quantity of ground meat left

Or, x = $\frac{41}{16}$ pound - $\frac{2}{5}$ pound

Or, x = $\frac{205-32}{80}$ pound

I.e x = $\frac{173}{80}$

∴ x = 2 $\frac{13}{80}$ pounds

Hence The quantity of ground meat he use for hamburgers is 2 $\frac{13}{80}$ pounds . Answer

7 0

4 years ago

Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberrie to make 1 batch pf muffins. How many cups will he need to m

AURORKA [14]

Answer: $3\dfrac{1}{8}\ \text{cups}$

Step-by-step explanation:

Given

Yoshi need $1\frac{1}{4}$ cups of blueberries to make 1 batch of muffins

convert mixed fraction to fraction

$\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}$

i.e. $\frac{5}{4}$ cups are required for 1 batch of muffins

for $2\frac{1}{2}$ batch or $\frac{5}{2}$ batch it is given by

$\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}$

4 0

3 years ago