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2 years ago

Drag each expression to show whether the expression is equivalent to 35x−20, 40x+16, or neither.

Mathematics

2 answers:

kvasek [131]2 years ago

6 0

Answer:

4(10x+4) ⇒ 40x + 16

2(8+20x) ⇒ 40x + 16

5(7x-4) ⇒ 35x - 20

5(-4+7x) ⇒ 35x - 20

2(10x+8) ⇒ 20x + 16 Neither

Step-by-step explanation:

Given Expression:

4(10x+4)

2(8+20x)

5(7x-4)

5(-4+7x)

2(10x+8)

Solve:

4(10x+4) ⇒ 40x + 16 {4 · 10x = 40} {4 · 4 = 16}

2(8+20x) ⇒ 40x + 16 {2 · 8 = 16 } {20 · 2 = 40x}

5(7x-4) ⇒ 35x - 20 { 5 · 7x = 35x} {5 · - 4 = -20}

5(-4+7x) ⇒ 35x - 20 { 5 · -4 = -20 } {5 · 7x = 35x}

2(10x+8) ⇒ 20x + 16 {2 · 10x = 20x} { 2 · 8 = 16}

Hence,

4(10x+4) ⇒ 40x + 16

2(8+20x) ⇒ 40x + 16

5(7x-4) ⇒ 35x - 20

5(-4+7x) ⇒ 35x - 20

2(10x+8) ⇒ 20x + 16 Neither

Kavinsky

asambeis [7]2 years ago

3 0

Answer:

the ones that you would drag on the 35x-20 should be 5(7x-4) and 5(-4+7x).

For the 40x+16 should be 4(10x+4) and 2(8+20x) and for the neither one it should be 2(10x+8) so hopefully that is the correct answer for all of them

Step-by-step explanation:

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Kryger [21]

Answer:

Step-by-step explanation:

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3 years ago

Express 15.68 trillion in scientific notation.

hram777 [196]

Answer: one billion 1,000,000,000 1 x 109

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Step-by-step explanation:

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3 years ago

Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi

statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = $\frac{1}{3}$ A + 8, that is, one-third of Angela's savings + $8 will give us Eli's savings

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that if $10 is added to both their savings, Eli will still have $4 more than Angela.

So, we can solve both equations;

Equation 1: E = $\frac{1}{3}$ A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to eliminate the E: Subtract equation 1 from equation 2, so that;

A + 4 - ( $\frac{1}{3}$ A + 8) = E - E

$\frac{2}{3}$ A - 4 = 0

$\frac{2}{3}$ A = 4

A = 4 × $\frac{3}{2}$ = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

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4 years ago

Read 2 more answers

The converse of the statement “If a quadrilateral has four right angles, then it is a rectangle” is "______."

Nataly [62]

A quadrilateral because you just reverse the question.

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3 years ago

They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers wi

Lyrx [107]

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

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3 years ago