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3 years ago

13

Find the midpoint of the segment below and enter its coordinates as an

1 answer:

ryzh [129]3 years ago

4 0

Answer:

(4,3)

Step-by-step explanation:

Midpoint formula

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A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total

larisa86 [58]

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

<h3>Find the required expression:</h3>

Algebraic expression is made up of numbers, operations and variables.

Algebraic expression is true for all values of x.

For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

Learn more about algebraic expression here:

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7 0

1 year ago

Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

ivolga24 [154]

Answer:

<em>a. The system of equations that models the situation is....</em>

<em> $0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40$ </em>

<em>b. The solution to the system: x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is $x$ pounds and the amount of 50/50 mixture is $y$ pounds.

So, the amount of peanuts in 80/20 mixture $= 0.80x$ pound and the amount of almonds in 80/20 mixture $=0.20x$ pound.

And the amount of peanuts in 50/50 mixture $=0.50y$ pound and the amount of almonds in 50/50 mixture $=0.50y$ pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture $=(6\times 0.60)=3.60$ pounds

and the amount of almonds in that mixture $=(6 \times 0.40)= 2.40$ pounds.

So, the system of equations will be.........

$0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)$

Subtracting equation (2) from equation (1), we will get.....

$(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2$

Now, plugging this $x=2$ into equation (1), we will get......

$0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4$

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0

3 years ago

If the bakers percentage for raisins in a raisin bread formula is 8% and the bakers percentage for flour is 100%, what amount of

a_sh-v [17]

How many pounds were the 8% formula?

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4 years ago

Read 2 more answers

1 > -1/2x + 5 solve for x

RUDIKE [14]

Answer:

x is greater than 8

Step-by-step explanation:

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2 years ago

How many gallons of honey did Colton and Madelyn collect in all

madreJ [45]

Answer:

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Step-by-step explanation:

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3 years ago