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3 years ago

Help please 30 points

Mathematics

1 answer:

tino4ka555 [31]3 years ago

5 0

Answer:

(22,0)

Step-by-step explanation:

y=mx+b

y=-2/3x+44/3

0=-2x/3+44/3

x=22

(22,0)

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Irene spent $33.82 on gas to fill her tank.

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3 years ago

Find the opposite of 1/3 and negative -7/12

Dimas [21]

The opposite of 1/3 = -1/3
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8 0

3 years ago

PLEASE HELP ME

Mamont248 [21]

Answer:

Reflection in the x-axis followed by a translation 5 units left and 1 unit up

Step-by-step explanation:

The coordinates of X are (-6,2).

When we reflect in the x-axis we get X'=(-6,-2)

When we translate by the rule T(x-5,y+1), we get X"=(-6-5,-2+1)=(-11,-1)

The coordinates of Y are (-4,7).

When we reflect in the x-axis we get Y'=(-4,-7)

When we translate by the rule T(x-5,y+1), we get Y"=(-4-5,-7+1)=(-9,-6)

The coordinates of Z are (-2,2).

When we reflect in the x-axis we get Z'=(-2,-2)

When we translate by the rule T(x-5,y+1), we get Z"=(-2-5,-2+1)=(-7,-1)

Therefore the sequence of transformation is a reflection in the x-axis followed by a translation 5 units left and 1 unit up.

5 0

3 years ago

Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint

Otrada [13]

Answer: $6\frac{1}{12}\ gallons$

Step-by-step explanation:

We can make the conversion from mixed numbers to improper fractions:

Multiply the whole number part by the denominator of the fraction.
Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
The denominator is the same.

Then:

$2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}$

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

$4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12$

Then:

$\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons$

To convert this improper fraction to a mixed number:

When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
The remainder obtained is 1. This will be the numerator of the fraction.
The denominator does not change.

Then:

$\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons$

7 0

3 years ago

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