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3 years ago

Which expression shows the prime factorization of 66? A 32 x 11 B 2x 3 x 11 C 6 x 11

Mathematics

2 answers:

Anit [1.1K]3 years ago

6 0

B : 2x3x11 because 2x3x11 is 66 and they are all prime numbers as they can only be divided by themselves and 1.

lesya [120]3 years ago

5 0

Answer:

B 2x 3 x 11

Step-by-step explanation:

good luck have a nice day

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A system of equations is given below:

My name is Ann [436]

Solving by substitution:

y = 4x - 3

2x + 7y = 41

Let us substitute the first equation y = 4x - 3 into the second.

2x + 7y = 41

2x + 7(y = 4x -3) = 41

2x + 7(4x -3) = 41

So that's the third option.

I hope this helps.

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3 years ago

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The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to

Brrunno [24]

We have to solve this quadratic equation $n^{2}+n=56$ for n to get which figure has 56 blocks.

$n^{2}+n=56\\n^{2}+n-56=0$

For middle term factorization, we need two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).

Such two numbers are 8 and -7. We can now write,

$n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7$

"There is no negative figure number possible, so we disregard -8"

Our answer is 7.

ANSWER: The 7th figure has 56 blocks.

3 0

3 years ago

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13,000 inches equals how many miles

Nataly [62]

Answer:

0.205177 mi

Step-by-step explanation:

Step 1: Find conversions

12 in = 1 ft

5280 ft = 1 mi

Step 2: Use Dimensional Analysis

$13000 \hspace{2} in(\frac{1 \hspace{2} ft}{12 \hspace{2} in} )(\frac{1 \hspace{2} mi}{5280 \hspace{2} ft} )$

0.205177 mi

8 0

3 years ago

Suppose a researcher is interested in understanding the variation in the price of store brand milk. A random sample of 36 grocer

liberstina [14]

Answer: ($3.055, $3.205)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.5$

Critical value : $z_{\alpha/2}=1.96$

Sample size : n= 36

Sample mean : $\overline{x}=\$\ 3.13$

Standard deviation : $\sigma= \$\ 0.23$

The confidence interval for population mean is given by :_

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$\text{i.e. }\$\ 3.13\pm (1.96)\dfrac{0.23}{\sqrt{36}}\\\\\approx\$\ 3.13\pm0.075\\\\=(\$\ 3.13-0.075,\$\ 3.13+0.075)=(\$\ 3.055,\$\ 3.205)$

Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)

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3 years ago

Berry Farm produces organic tomatoes and strawberries. In June 2021, it transported 130 boxes of strawberries with a price of $1

disa [49]

Answer:

the revenue recognized is $1,275

Step-by-step explanation:

The computation of the revenue recognized is shown below:

= Number of boxes of strawberries sold to customers × price per box

= 85 boxes × $15

= $1,275

Hence, the revenue recognized is $1,275

We simply applied the above formula and the same should be considered

Also

= 130 - 85

= 45 boxes would not be recognized as sale is not made

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3 years ago