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2 years ago

Explain how you can use estimation to place the decimal point in the quotient 42.66÷22

1 answer:

5 0

42.66 / 22 = 1.939, So if you are estimating than anything that is 5 or over is estimated to the top, and anything 4 or less is estimated to the bottom. So in this case 1.939 is estimated to 1.94

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Evaluate the following expression . 2*[4+(12+16)/7

Nataliya [291]

Answer:

Step-by-step explanation:

$2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16$

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2 years ago

Kiara spent $36 and had $12 left. what percent money did she spend

Illusion [34]

Answer:

she spent 75%

Step-by-step explanation:

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3 years ago

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

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3 years ago

To steam rice, Paul uses m cups of water for every p

GenaCL600 [577]

Answer:

$\frac{(p + 2)m}{p}$

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

$m = k * p$

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

$k = \frac{m}{p}$

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

$k = \frac{x}{p + 2}$

Equate both expressions of k; to give

$\frac{m}{p} = \frac{x}{p + 2}$

Multiply both sides by p + 2

$(p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}$

$(p + 2) * \frac{m}{p} =x$

$x = (p + 2) * \frac{m}{p}$

$x = \frac{(p + 2)m}{p}$

Hence, the expression that represents the cups of water needed is $\frac{(p + 2)m}{p}$

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3 years ago

AT YOUR NEW JOB AT THE COFFEE

alukav5142 [94]

Answer:

106 : 84

Step-by-step explanation:

53 : 42 = 106 : 84

The ratio is already in lowest terms so found I an equivalent ratio by multiplying both terms by 2.

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2 years ago

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