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4vir4ik [10]
2 years ago
10

One gallon fills about 231 in3. An aquarium has a height of 15 in. and base measurements 9 in. by 18 in. About how many gallons

of water does the aquarium hold?
Mathematics
2 answers:
SpyIntel [72]2 years ago
4 0
Volume of the fish tank = 15 in × 9 in × 18 in
V = 2430 in³

(2430 in³) ÷ (231 in³ per gallon) = 10.52 gallons
malfutka [58]2 years ago
4 0

Answer:

Aquarium can hold about 10 gallon.

Step-by-step explanation:

Given : One gallon fills about 231 in3. An aquarium has a height of 15 in. and base measurements 9 in. by 18 in.

To find : how many gallons of water does the aquarium hold.

Solution : We have given that

Volume of a gallon = 231 in³.

Dimensions of aquarium = height = 15 in , length = 9 in, width = 18 in.

Volume of aquarium = length * width * height.

Plugging the values

Volume of aquarium =  9*18 * 15.

Volume of aquarium = 2430 in³.

Aquarium can hold gallon =\frac{2430}{231}

                                           = 10.51

Therefore, Aquarium can hold about 10 gallon.

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2. Tennis rackets can be packaged in cartons holding 2 rackets cach or in
Liula [17]

Answer:

There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets

Step-by-step explanation:

Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y

∵ There are x cartons of 2 rackets

∵ There are y cartons of 3 rackets

∵ They used 38 cartons

∴ x + y = 38 ⇒ (1)

∵ They packed a total of 100 rackets

∴ 2x + 3y = 100 ⇒ (2)

Let us solve the system of equations

→ Multiply equation (1) by -2 to make the coefficients of x in

   the equations equal in values and different is signs

∵ -2(x) + -2(y) = -2(38)

∴ -2x - 2y = -76 ⇒ (3)

→ Add equations (2) and (3)

∴ y = 24

→ Substitute the value of y in equation (1) or (2) to find x

∵ x + 24 = 38

→ Subtract 24 from both sides

∴ x + 24 - 24 = 38 - 24

∴ x = 14

There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets

7 0
2 years ago
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
bija089 [108]

Answer:

\frac{3}{20}

Step-by-step explanation:

Fraction of the total that is for corn (TC - Total corn):

TC=\frac{1}{4}

fraction of the corn section that is for white corn (WC - white corn in the corn seccion):

 WC=\frac{3}{5}

we need to find the fraction of the whole field that is for the white corn.

For this we need to find how much is \frac{3}{5} out of the \frac{1}{4} destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn (\frac{1}{4}) by the fraction of white corn in the corn section (\frac{3}{5}).

I will call the total fraction of white corn TWC, thus:

TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}

the answer is: \frac{3}{20} of the whole field is planted with white corn

5 0
2 years ago
Asher pays 156 every 6 weeks for piano lessons. What is the price per year for piano lessons?
Marta_Voda [28]
About 1352
There r about 52 weeks in a year
Divide 52 by 6 = 8.66666667
Multiply 8.6666667 by 156 you will get 1352 per year
6 0
2 years ago
Read 2 more answers
Mr.Walden wrote the expression. He asked his students to write an equivalent expression of simplified form.
mafiozo [28]

Answer:

option D

Brianna

Step-by-step explanation:

Given in the question the expression wrote by Mr.Walden

\frac{p^{-5} }{q^{0} }

To write the simplified form of this expression we will use negative rule of exponent

b^{-n}= 1 / b^{n}

q^{-5} = \frac{1}{q^{5} }

so,

\frac{1}{q^{5} x q^{0} }

\frac{1}{q^{5} p^{0} }

Only Brianna wrote right simplification of the expression written by Mr.Walden

3 0
2 years ago
Which statement best explains the relationship between lines FG and HJ?
Taya2010 [7]

Answer:they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

FG’s slope is 3/4 while HJ’s slope is 2/3. i just had this question on my test lol

5 0
2 years ago
Read 2 more answers
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