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3 years ago

Use the distributive property to solve 4x(25+4)

Mathematics

2 answers:

elena55 [62]3 years ago

4 0

Answer:

116x

Step-by-step explanation:

Step 1. Distribute it(Do 4x times 25 and 4x times 4)

100x + 16x

Step 2: Combine like terms

116x

Simora [160]3 years ago

4 0

4x(25+4)

since 4x is outside the parentheses that’s what we’re multiplying by

25 and 4 are inside the parentheses so that’s what’s being multiplied

meaning 25 and 4 are being multiplied by 4x

resulting the answer to be 100x+16

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How do i solve this (15 points)

GaryK [48]

Multiply 64 and 12 three times and 64 ×12=? then ?×3=?

3 0

4 years ago

You buy items totaling $135.82. The sales tax is 4%. You give the clerk three $50 bills. Figure the following amounts:

MrRa [10]

Answer:

a. $5.43

b. $141.25

c. $8.75

Step-by-step explanation:

First you find the total amount you it cost for all the items

$135.82 + 4% = $141.25

You give three $50 dollar bills

50 * 3 = 150

$150 is the amount you give

--------------------------------------

141.25 - 135.82 = 5.43

$5.43 is the amount of the sale price

---------------------------------------

To find the amount is cost for all the items you add the sales tax + the original price

$135.82 + 4% = $141.25

$141.25 is the amount including the tax

---------------------------------------

Subtract

150 - 141.25 = 8.75

So you will get $8.75 back

7 0

3 years ago

Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are propor

docker41 [41]

Given:

The table of values is

Number of Students : 7 14 21 28

Number of Textbooks : 35 70 105 140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

$\dfrac{35}{7}=5$

$\dfrac{70}{14}=5$

$\dfrac{105}{21}=5$

$\dfrac{140}{28}=5$

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

$\dfrac{y}{x}=k$

Here, k=5.

$\dfrac{y}{x}=5$

$y=5x$

Hence the rate of change is constant that is 5.

8 0

3 years ago

Find the coordinates of the point three tenths of the way from A(-4, -8) to B(11, 7)

Leviafan [203]

let's first off take a peek at those values.

let's say the point with those coordinates is point C, so C is 3/10 of the way from A to B.

meaning, we take the segment AB and cut it in 10 equal pieces, AC takes 3 pieces, and CB takes 7 pieces, namely AC and CB are at a 3:7 ratio.

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-4,-8)\qquad B(11,7)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{3:7}
\\\\\\
\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]
~\dotfill\\\\
C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]
~\dotfill$

$\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)
\\\\\\
C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill$

4 0

3 years ago

Lauren had no more than $23 to spend on 5 avocados. After buying them she had $3. What is the most each avocado cost?

expeople1 [14]

23÷5=4 with a remainder of $3. each avocada was 4$.

7 0

3 years ago

Read 2 more answers