Ginger and her friends have saved $5000 for an upcoming vacation. They plan to spend 2/5 on travel and lodging and 1/4 of the remainder on meals. How much money will Ginger and her friends have to spend on meals?(1 point)

Responses

$500
$500

$750
$750

$1250
$1250

$2000

7 answers

Option C: $750

First, they will spend 2/5 of $5000 on travel and lodging:
2/5 * $5000 = $2000

The remainder will be:
$5000 - $2000 = $3000

They will then spend 1/4 of $3000 on meals:
1/4 * $3000 = $750

Therefore, Ginger and her friends will have $750 to spend on meals.
The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine the area of the LATERAL SIDE. Round your answer to the nearest tenth. (Use 3.14 for π.)

(1 point)
Responses

15.7 square inches
15.7 square inches

37.5 square inches
37.5 square inches

117.8 square inches
117.8 square inches

147.2 square inches
To find the lateral area of the cylinder, you can use the formula: lateral area = height * circumference of the base.

First, you need to find the radius of the base by dividing the diameter by 2:
Radius = 5 / 2 = 2.5 inches

Next, find the circumference of the base using the formula: Circumference = 2 * π * radius
Circumference = 2 * 3.14 * 2.5 = 15.7 inches

Now, find the lateral area by multiplying the height by the circumference:
Lateral Area = 7.5 * 15.7 = 117.75 square inches

Rounded to the nearest tenth, the lateral area of the cylindrical can is 117.8 square inches.

Therefore, the answer is: 117.8 square inches.
Determine the volume of the triangular prism.
height is 4 inches, width is 6 inches, the length is 12 inches, and the base is 5 inches
(1 point)
Responses

120 in3
120 in3

144 in3
144 in3

240 in3
240 in3

288 in3
288 in3

1440 in3
The volume of a triangular prism is given by the formula: Volume = (1/2) * base * height * length.

Given:
Base = 5 inches
Height = 4 inches
Length = 12 inches

Substitute these values in the formula:
Volume = (1/2) * 5 * 4 * 12
Volume = 1/2 * 5 * 4 * 12
Volume = 2.5 * 4 * 12
Volume = 10 * 12
Volume = 120 cubic inches

Therefore, the volume of the triangular prism is 120 cubic inches.

The correct response is: 120 in3.
Margo is trying to be financially responsible. She is going to save 22% of her paycheck every month. Her paycheck is $2500 each month. How much money will she have saved after a year of saving?(1 point)
Responses

$1,363
$1,363

$6,600
$6,600

$9,500
$9,500

$11,364
$11,364
If Margo saves 22% of her paycheck each month, the amount she saves per month is:

22% of $2500 = 0.22 * $2500 = $550

After saving $550 per month, Margo will have saved in a year:

$550 * 12 months = $6600

Therefore, Margo will have saved $6,600 after a year of saving.

The correct response is: $6,600.