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KATRIN_1 [288]
3 years ago
9

9(5x + 1) ÷ 3y

Mathematics
1 answer:
Ivan3 years ago
3 0

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

Both 5 and 3 are numbers in front of variables.

Hope this helps!! :)

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Answer: 20 cups of grape juice are needed for 8 cups of peach juice.

Step-by-step explanation:

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We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.

So, 20 cups of grape juice are needed for 8 cups of peach juice.

Hope this answer helps you out!

3 0
3 years ago
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Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

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From the diagram attached

  • LX=6
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Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
3 years ago
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3) Let h(x)= |2x|-4. Find h(x) when x = -7.<br> a) -10<br> b) 10<br> c) -13<br> d) 13
svlad2 [7]

Answer:

h(x) = 10

Step-by-step explanation:

Given

h(x) = |2x| - 4

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Find h(x)

Substitute -7 for x

h(x) = |2*-7| - 4

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Absolute values return positive. So:

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none of the above

Step-by-step explanation:

cohen's d= (Mean of population - mean of sample)/ standard deviation of population

0.5 = (80-mean of sample)/12

Mean of sample= 74

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