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11Alexandr11 [23.1K]
2 years ago
5

Barbara's piano instructors House is 7 1/8 miles from her house. After biking for 1 3/4 Miles she stops to rest how much longer

does she need to bike to reach her instructor's house
Mathematics
1 answer:
Svetlanka [38]2 years ago
7 0
7 1/8- 1 3/4=
6 9/8-1 6/8=5 3/8miles
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Emily knows that the area of a rectangle is 54x9y8 square yards and that it’s length 6x3y4 yards. If she divides the area by the
Furkat [3]

Answer:

Width of the rectangle is: \mathbf{Width= 9x^6 y^4}

Option C is correct.

Step-by-step explanation:

Area of rectangle = 54x^9y^8

Length of rectangle = 6x ^ 3y^4

We need to find width of rectangle.

The formula used is:

Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}

Putting values in the formula to find Width of rectangle

Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}

Using the exponent rule: \frac{a^m}{a^n}=a^{m-n}

and simplifying the terms we get

Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}

So, Width of the rectangle is: \mathbf{Width= 9x^6 y^4}

Option C is correct.

6 0
2 years ago
Eaches seven science classes. He needs 12 liters of water for each class to perform an upcoming experiment. How many milliliters
Angelina_Jolie [31]

Answer:

84

Step-by-step explanation:

7 × 12 = 84

84 × 1000 = 84000

84000 mililetre

7 0
3 years ago
Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54x+64 49x + 59
never [62]

Answer:

x=-1

Step-by-step explanation:

54x+64=49x+59

subtract 64

54x=49x-5

subtract 49x

5x=-5

divide by 5

x=-1

7 0
3 years ago
Drug X is to be administered intravenously at a dosage of 20 mg/kg. A patient weighing 60 kg should receive
arsen [322]

Answer:

D. 1200 mg

Step-by-step explanation:

In order to find the solution we need to understand that a dosage of 20 mg/kg means that 20 mg are administered to the patient for each kg of his/her weight.

So, if the patient weight is 60 kg then:

Total drug X = (20mg/Kg)*(60Kg)=1200mg.

In conclusion, 1200 mg will be administered to the patient, so the answer is D.

5 0
2 years ago
Find sin A <br>a 4/5<br>b 5/4<br>c 3/5<br>d 5/3<br>e 3/4<br>f 4/3​
romanna [79]

Answer:  4/5 (first choice)

=========================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(A) = BC/AC

sin(A) = 24/30

sin(A) = (6*4)/(6*5)

sin(A) = 4/5

8 0
2 years ago
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