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romanna [79]
2 years ago
6

Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 mil

es per hour. If the distance to be covered is 1150 km and a mile equals 1. 61 km, how much time will the trip take (to the nearest hour)? 13 hours 21 hours 29 hours 34 hours.
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
8 0

Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

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10x + 4y = 24 6x +12y = 48 What is the value of y? * <br>A. 7 <br>B. 7/2 <br>C. 1 <br>D. -7/2​
ziro4ka [17]

Answer:

B

Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

3(10x+4y=24)

30x+12y=72

now subtract both equations to eliminate 'y"

30x+12y=72

-

6x+12y=48

---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

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3 years ago
Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X, how long, to the nearest ten
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Answer:

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Step-by-step explanation:

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3 years ago
1. What is the slope-intercept form and what information does it give you?
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A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a heigh
kakasveta [241]

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

<h3>What is the surface area of a right triangular prism?</h3>

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

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If one pound of shrimp cost $6 what does 7/8 pound cost
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