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3 years ago

10

A recipe calls for one cup of juice concentrate for 4 cups of water. How many cups of concentrate are needed if 1 cup of water i

s use? Set up a proportion and show your work

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer:

1/4 cups of juice

Step-by-step explanation:

1 cup of juice --- 4 cups of water

x cups of juice --- 1 cup of water

1/x = 4/1

1/x = 4

x = 1/4

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If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.

nexus9112 [7]

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

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6 0

2 years ago

A countertop is 16 feet long and 3 feet wide. what is the area of the countertop in square meters

Paladinen [302]

The area of the countertop is (16-ft x 3-ft) = 48 feet² .

1 foot = 0.3048 meter (rounded)

(1 foot)² = (0.3048 meter)² = 0.0929 meter²

48 feet² = (48 x 0.0929) = 4.459 meter² (rounded)

8 0

3 years ago

A square classroom has sides that are 21 feet long. what is the room's perimeter

lutik1710 [3]

The answer is 84 because 21 times 4 equals 84

4 0

3 years ago

Read 2 more answers

PLEASE HELP IMMEDIATELY

grandymaker [24]

Answer:

a) C(d) = 37.95 + 0.62d

b) C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Step-by-step explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

$C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7$

Thus, we could drive 8181 miles

3 0

3 years ago

Write the equation of each line described in slope-intercept form (y = mx + b) with a slope of -6 and x-intercept of 4. (4,0)

marissa [1.9K]

Answer:

ill give u the answer if u do 73 divided by 2628

Step-by-step explanation:

4 0

3 years ago