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2 years ago

Write an equation for each transformation of y = x

Mathematics

1 answer:

Alona [7]2 years ago

3 0

5,-6 This should be it hopefully if not sorry

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Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red

Inga [223]

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

Then we have (3/5)*(1/6)*N red boats.

And we know that there are 12 red boats, then:

(3/5)*(1/6)*N = 12

Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.

4 0

2 years ago

Quotient of 794.1 divided by 7.61

AlekseyPX

104.349540079

7.61 x 104.349540079 = 794.1

7 0

2 years ago

1/2*(6*1+7)+11 show the result

fomenos

Well I got 17.5
You would start with 6x1=6
Then you would add 7: 6+7=13
Next you would multiply 13 by (1/2): 13(1/2)=6.5
Finally you would add 11 to 6.5: 6.5+11= 17.5

3 0

3 years ago

The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base

Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93 Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186 Remove the brackets

4h^2 + 7h = 186 Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

4 0

2 years ago

Select the correct answer. Select the place where the digit 5 sits in this number. 952,832,744 A. hundred millions B. one billio

k0ka [10]

Count the amount of digits from right to left:

The digit 5 appears at the eighth position.

Remember that the 7th position is for millions. So, the eighth position is for ten millions.

Therefore, the place where the digit 5 sits in the number 952,832,744 is ten millions.

4 0

11 months ago