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Katyanochek1 [597]

3 years ago

12

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many cal

ories are in a 2 cups of cereal

1 answer:

Leona [35]3 years ago

7 0

Answer:

96 and 192 calories

Step-by-step explanation:

<u>Given</u>

72 calories in a 3/4 cup

<u>Divide both by 3/4 to find the unit rate:</u>

72:3/4 in 3/4:3/4
96 calories in 1 cup

<u>Then multiply both by 2 to get the calories for 2 cups:</u>

96*2 = 192 calories

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Complete the inequality statement with the symbol that makes it true.

OLga [1]

Equal because these numbers are of the same value

7 0

3 years ago

The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.

alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0

3 years ago

Show how he can make pieces of copper wire whose lenghts in feet are one of each of the whole numbers from 1 to 20 inclusive, wh

katovenus [111]

Hudyydjdjgthdfhtfyhthfyjfjfyyfjfyjfyj

3 0

3 years ago

Can someone please help me?

Vladimir79 [104]

Answer:

<h3> ( - 1 , - 1 )</h3>

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

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

5x = - 5

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{ - 5}{5}$

Calculate

$x = - 1$

Again, Putting the value of x in equation ( ii ) in order t get the value of y

$y = 3x + 2$

plug the value of x

$= 3 \times ( - 1) + 2$

Any expression multiplied by ( - 1 ) equals it's opposite

$= - 3 + 2$

Calculate

$= - 1$

Therefore, The possible solution of the system is the ordered pair ( x , y )

$(x \:, y \: ) = ( - 1 \:, - 1)$

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

Check if the given ordered pair is the solution of the system of equation

$- 1 = - 2 \times ( - 1) - 3$

$- 1 = 3 \times ( - 1) + 2$

Simplify the equation

$- 1 = - 1$

$- 1 = - 1$

Since all the equalities are true, the ordered pair is the solution of the system.

<h3>( x , y ) = ( - 1 , - 1 )</h3>

Hope this helps..

Best regards!!

7 0

3 years ago

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use. 0.05m + 12 Wha

inn [45]

Answer:

The constant in the expression is 12

Step-by-step explanation:

The constant of the expression is the value that is independent of the number of minutes Janelle uses. The expression can be written as :

f(m)=0.05m +12

Example if m is 1 or 2

f(1) = 0.05(1) +12 = 12.05

f(2= = 0.05*2 +12 =0.1 +12 = 12.1

The value 12 is the minimum price of the bill indepent of the consumption of minutes of Janelle. She will always be charged this value.

8 0

3 years ago

Read 2 more answers