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3 years ago

Collin did the work to see if 10 is a solution to the equation r/4=2.5

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

Answer:

Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

$\frac{r}{4} = 2.5 \\ lhs = \frac{r}{4} \\ = \frac{10}{4} \\ = 2.5 \\ = rhs \\ \therefore \: \frac{r}{4} = 2.5 \\$

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In a particular year, the United States had a national debt of 1.1 x 1013 U.S. dollars.

kolezko [41]

The answer is to your question is 100:1

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3 years ago

A+b=3a simplify plz need ur help asap thx

lozanna [386]

Answer:

a= 1/2b

Step-by-step explanation:

a+b=3a

a=3a-b

a-3a= - b

- 2a= - b

a=1/2b

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4 years ago

A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the botto

Artemon [7]

Answer:

You need to buy 13 quarts of paint

Step-by-step explanation:

The correct question is

A movable section of stage has the shape of a right triangle. You need to apply 2 coats of paint (Assume you will not paint the bottom of the ramp). The paint covers approximately 80 square feet per quart. How many quarts of paint do you need to buy?

The picture of the question in the attached figure

step 1

we know that

The figure show a triangular prism

The surface area of the triangular prism is given by

$SA=2B+PL-(14)(19.5)$ ----> (the area of the bottom is not included)

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the prism

we have

$B=\frac{1}{2}(14)(6)=42\ ft^2$

$P=14+6+15.2=35.2\ m$

$L=19.5\ ft$

substitute

$SA=2(42)+35.2(19.5)-(14)(19.5)=497.4\ ft^2$

step 2

You need to apply 2 coats of paint

Multiply the surface area by 2

$497.4(2)=994.8\ ft^2$

step 3

Divide the total square feet by 80 square feet per quart

$994.8/80=12.4\ quarts$

Round up

You need to buy 13 quarts of paint

6 0

3 years ago

Help me pleaseee pleaseee

Darya [45]

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

$- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3$

☆Plug in for m<AEZ

$- 1(3) + 4 \\ - 3 + 4 \\ 1$

☆m<PAW is corresponding to m<AEZ

☆Corresponding angles are congruent.

☆m<PAW equals 1.

7 0

3 years ago

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 7% is applied to the room rate, and an a

Serjik [45]

Answer: $543.7325

Step-by-step explanation:

room rate = $99.95 / night

Tax fee = 7% of room rate

Therefore, tax fee = 7% of $99.95

Tax fee = 0.07 × $99.95

Room charge =[$99.95 + 0.07($99.95)]

Room charge = 1.07($99.95) per night

Additional onetime untaxed fee = $9

Therefore for 5 nights :

Room charge = 5×[1.07($99.95)] +

Total room charge = 5×[1.07($99.95)] + one time untaxed fee

Total room charge = 5×[1.07($99.95)] + $9

= $543.7325

7 0

3 years ago