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3 years ago

Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Answer:

1/12

Steps:

1 - 2/3 = 1/3

1/3 / 4 = 1/3 × 1/4 = 1/12

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An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

OLga [1]

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

6 0

3 years ago

An aquarium has a length of nº + 2 inches, a height of

zimovet [89]

Answer:

V = 10(n^2 + 7n + 10) inches^3

Step-by-step explanation:

The volume of a rectangular aquarium is V = L*W*H.

Here, V = (n + 2)(10)(n + 5), or

V = 10(n^2 + 7n + 10) inches^3.

5 0

3 years ago

Polygon ABCDE rotates 45° clockwise about point F to produce polygon FGHIJ as shown. What is mBCD?

goldfiish [28.3K]

Polygon FGHIJ is the result of the rotation of ABCDE.

A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°

The measure of angle BCD remains the same because the rotation involves the whole polygon. Thus, it is still 127°

5 0

3 years ago

Find three points that belong to the graph and use them to sketch the graph of the equation: y = −3 −x

dalvyx [7]

Answer:

To find a point that belongs to the graph, you have to assume the value of one variable and compute the other one. For example, if x = 0, then y = -3 -0 = -3. Similarly:

x y

0 -3

1 -4

2 -5

To make the graph, locate the previous points on the coordinate plane and then draw the line that passes through them (see figure attached)

6 0

3 years ago

Find the volume of the cylinder.

Aneli [31]

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is $\pi r^2 h$ . We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

$V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16$

The volume of the cylinder is 144π or 452.16 units³.

4 0

2 years ago