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irinina [24]
2 years ago
5

Kevin and Brittany write an equation to represent the following relationship, and both students solve their equation. Who found

the correct equation and solution? Why is the other person incorrect?
5 times the difference of a number and 20 is the same as half the sum of 4 more than 4 times a number.

Mathematics
1 answer:
Vadim26 [7]2 years ago
3 0
Kevin, because the problem says the difference of a number (x) and 20, and since 20 is mentioned second, it would therefore be the second number in the problem
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Find the values of x1 and x2 where the following two constraints intersect.
Arte-miy333 [17]

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Hi!

As you can see in the figure, the point you are looking for is the intersection of two lines.

The intersection point is found solving this system of linear equations (the point must satisfy both equations):

9x_1 +7x_2=57\\4x_1 + 6x_2 = 13

You can solve it, for example, by the method of substitution:

\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)

Then plug x1 into equation 2, and solve for x2:

\frac{4}{9}(57-7x_2) + 6x_2 = 13\\\text{doing the algebra you get:}\\x_2 = \frac{-111}{26}

Then you use the value of x2 to get x1:

x_1 = \frac{1}{9}(57 - 7x_2)= \frac{1}{9}(57 + 7*\frac{111}{26}) = 251/26\\

4 0
2 years ago
Learning Task 4. Multiply each of the following. Use cancellation method
astra-53 [7]

Answer:

1) 2/7

2) 8/11

3) 3/2 or 1 1/2

4) 32/35

Step-by-step explanation:

1.5/7•14/35

= 5/7 × 14/35

Using Cancellation method

= 1/1 × 2/7

= 2/7

2.[4/5][10/11]

= 4/5 × 10/11

Using Cancellation method

= 4/1 × 2/11

= 8/11

3.8 3/4 multiplied by 2/9

= 8 3/4 × 2/9

= 27/4 × 2/9

= 3/2 × 1/1

= 3/2

= 1 1/2

4. [4/5]10/11][7/8]

40/50 ÷ 77/88

= 40/50 × 88/77

= 40/50 × 8/7

= 40/25 × 4/7

= 8/5 × 4/7

= 32/35

4 0
2 years ago
. Mr. Lorenzo gave his 2 sons $50 to buy a cooler. The total cost for the cooler is $44. Mr. Lorenzo told his sons that they cou
earnstyle [38]

Answer:

<h2>S=$3</h2>

Step-by-step explanation:

Given that the cost of cooler is $44

money given to the two sons $50

let S represent the amount the two son will have to share equally

the change is 50-44=6

=$6

Then s=6/2=$3

applying with the expression directly we have

S = (50 - 44)/2

S = (6)/2

S=$3

8 0
2 years ago
Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of t
Alja [10]
10 of those sheets are secondary colors.

40% = 0.4
0.4(25) = 10
4 0
2 years ago
Read 2 more answers
The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting.
Maurinko [17]
Substitute t = 0, to get the initial height
5 0
2 years ago
Read 2 more answers
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