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DanielleElmas [232]
3 years ago
5

Marta is building a scale model of the Empire State building which has a rectangular base. The scale on the model is 1 inch = 35

feet. Her model is 4 inches in length and 1 inch in width. What is the actual area, in square feet, of the base of the building?
Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer: The actual area of the base of the building is 4900 square feet.

Step-by-step explanation:

We have given, the scale on the model: 1 inch = 35 feet

In model,

Length= 4 feet , Width = 1 inch

As per scale ,

Actual length =  4 x 35 feet

= 140 feet

Actual width = 35 feet

Area of base of the building = Length x width

= 140 x 35

= 4900 square feet

Hence, the actual area of the base of the building is 4900 square feet.

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Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make? Give an exact answer in decimal form.
krek1111 [17]

Answer: The answer in decimal form is 0.75

Step-by-step explanation: We know Ramon has 7/8 cup of cottage cheese.

He wants to know how many 1/4 cup servings can he make. 1/4 can also be written as 2/8 cup servings. 1/4 and 2/8 are equivalent.

He can only make three 1/4 cup servings of cottage cheese.

3 x 1/4 = 3/4

3/4 written in decimal form is 0.75

5 0
3 years ago
13. How many distinct 4-letter groupings can be made with the letters from the word champion if letters may not be repeated?
ddd [48]

Answer:

N = 1680

Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'

Step-by-step explanation:

Given the word 'champion' which is an 8 distinct Letter word. The number of 4 letter groupings that could be formed from it can be given by the permutation since in this case order of letters are important.

The number of distinct 4 letter groupings can be given as;

N = nPr = 8!/(8-4)!, where n= 8 and r = 4

N = 8P4 = 8!/(8-4)!

N= 8!/4!

N = 1680

Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'

7 0
4 years ago
Cara's bathroom floor has an area of 2 2/3 square yards.She lays down a rug that has an area of 1 1/4 square yards.Do I have to
lianna [129]
It should be Additional because she adds on another rug right so you just add 2 /23 + 1 1/4 and you will get your answer hope this helps
! and if u subtract that means your removing 1 rug and that's not in the question. :D
7 0
4 years ago
Read 2 more answers
Mrs. Manning carries a very large purse.The purse and its contents weigh 5.18 pounds. IF she takes her makeup out of the purse,
Katarina [22]
5.18 lbs - 3.76 lbs = 1.42 lbs
Answer: Mrs. Manning carries 1.42 pounds of makeup.
3 0
3 years ago
(01.02 LC) Which of the following is equivalent to
Nataliya [291]

Answer:

(mn)^3 = m^3 n^3

Step-by-step explanation:

Given

(mn)^3

Required

Select an equivalent expression

To solve this question, we apply the following law of indices:

(xy)^b = x^b * y^b

Similarly:

(mn)^3 = m^3 * n^3

(mn)^3 = m^3 n^3

D. is correct

5 0
3 years ago
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