A basket ball player made 23 out of 50 free throws in the last game. What percent of the free throws did he make?

GalinKa [24]

The answer is (D) ....

6 0

3 years ago

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

The first car consumes 20 gallons of fuel.

The second car consumes 30 gallons of fuel.

Reasons:

Fuel efficiency of the first car = 15 miles per gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let x represent the number of gallons consumed by the first car, and let y

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

15·x + 35·y = 1,350...(1)

x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

The number of gallons consumed by the first car, x = 20 gallons

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

The number of gallons consumed by the second car, y = 30 gallons

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0

2 years ago

Find the volume of this sphere.

Sholpan [36]

<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

π = 3
r = 2 ft²

To find the volume we apply the following formula:

$\boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2} }}$ , where

v = volume
π = pi
r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3} }}$

Calculate exponent cubed

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3} }}$

Multiplying

$\boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}$

Therefore, the volume of the sphere is 32 ft³.

8 0

2 years ago

Read 2 more answers

A circular tabletop has a circumference of 94.2 inches. What is its approximate area?

MrRa [10]

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

3 0

2 years ago

Given the functions f(x)= 1/x−4 +3 and g(x)=1/x+1 +6 .

melomori [17]

ANSWER

The graph shifts 5 units left and 3 units up.

EXPLANATION

The given functions are:

$f(x) = \frac{1}{x - 4} + 3$

and

$g(x) = \frac{1}{x + 1} + 6$

We want to transform f(x) so that, it coincide with the g(x).

The required transformation is

$f(x+5)+3$

Let us see why this works.

$f(x+5)+3 = \frac{1}{x + 5- 4} + 3 + 3$

$f(x+5)+3 = \frac{1}{x + 1} + 6 = g(x)$

The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.

The third choice is correct.

7 0

2 years ago

Read 2 more answers