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Vikentia [17]
3 years ago
6

Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

3 1/3 feets

Step-by-step explanation:

Given that:

Height of aquarium = 1 3/4 feets

Area of aquarium = 5 5/6 ft²

The length of aquarium = x

Aquarium is shaped in the form of a rectangle :

Area of a rectangle = Length * width

5 5/6 = x * 1 3/4

35/6 = 7x/4

Cross multiply :

7x * 6 = 35 * 4

42x = 140

x = 140 / 42

x = 3 14/42

x = 3 1/3 feets

Hence, Length of the back of aquarium is 3 1/3 feets

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Air has a density of 0.001226 g/mL. What volume of air would have a mass of 1.0 lb? A. 2.7 mL B. 815.6 mL C. 37 mL D. 3.7 × 102
Andre45 [30]

Answer:

Volume = 3.7\ * 10^2\ L

Step-by-step explanation:

Given

Density = 0.001226 g/mL

Mass = 1.0\ lb

Required

Determine the volume of air

Density is calculated using:

Density = \frac{Mass}{Volume}

Substitute values for Density and Mass

0.001226 g/mL = \frac{1.0\ lb}{Volume}

Convert lb to grams

0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}

0.001226 g/mL = \frac{453.592\ g}{Volume}

Solve for Volume

Volume = \frac{453.592\ g}{0.001226 g/mL}

Volume = 369977.161501\ mL

Convert mL to L

Volume = 369977.161501\ L * 0.001

Volume = 369.977161501\ L

Represent using scientific notation

Volume = 3.69977161501\ * 10^2\ L

Approximate

Volume = 3.7\ * 10^2\ L

8 0
3 years ago
The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
iragen [17]

Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

m = 46

46 + d = 64

Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

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3 years ago
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Subtract:(40+9)-(30+2)
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Answer:

17

Step-by-step explanation:

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3 years ago
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Factoring a Monomia form of polynomial​
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Answer:

Factoring a monomial means breaking it down into each individual prime number and/or variable factor. This is also called "expanding" a monomial.

Step-by-step explanation:

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