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BartSMP [9]
3 years ago
12

Amy has 20 quarters. Sodas cost $0.75. Write an expression for how many quarters Amy has left after buying d amount of sodas.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0
20-3d
tigjungfngvbjdenfg
ignore that^
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Given:
oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

3 0
3 years ago
A square piece of land is to be divided into 4 square quadrants of equal size. On a map, the entire piece of land measures 6 inc
Oksana_A [137]

Answer:

The scale of the map is inch = 20 feet.

This statement must be incorrect or the fraction of the inch is missing.

Because 6" long, at a scale of one inch = 20 feet, would only be 120 feet x 120 feet.

120 x 120 = 14,000 ft^2 and each of the four quadrants wouls only be 3600 ft^2.

5 0
2 years ago
Find the value of x ANSWER IS NOT
gulaghasi [49]

Answer:

x = 11√2

Step-by-step explanation:

We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):

x * √2  = 22

We can divide by √2 on both sides to get:

x = 22 / √2

To rationalize the denominator, we multiply by √2 / √2 on the right side:

x = 22√2 / 2

This simplifies to:

x = 11√2

3 0
2 years ago
Read 2 more answers
Please help me with this and explain how you got your answer thank you!!
ioda

Answer:

jwjsbsbhwhwhhw

Step-by-step explanation:

cehehehehrghegeheheheh

5 0
2 years ago
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What are two ratios that are equivalent to 1:1
kow [346]

Equivalents to 1:1 -

2:2

3:3

4 0
3 years ago
Read 2 more answers
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