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igor_vitrenko [27]
3 years ago
13

The sum of two numbers is 72 and their difference is 40. Using elimination method

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

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

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

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Write the extreme and middle terms of 5 : 80 :: 4 :64
Stells [14]

Answer:

The extremes are 5 and 64.

The middle terms are 80 and 4.

Step-by-step explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

OR

First number \times Fourth number = Second number \times Third number

First of all, let us check the two products.

5 \times 64 = 320

And the second product:

80 \times 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.

7 0
3 years ago
Potatoes cost 0.32 per pound.how much does 0.75 pounds of potatoes cost?
DiKsa [7]

Answer:

0.24

Step-by-step explanation:

0.32 ÷ 4 = 0.08

So, a quarter pound of potatoes costs 0.08.

0.08 x 3 = 0.24

So, three quarter pounds of potatoes (0.75) costs 0.24.

6 0
4 years ago
Southside is purchasing new materials for the school. The school has $1600 to spend on desks and a vending machine. The desks co
Mademuasel [1]

Answer:

15d + 450 \leq 1600

5 0
3 years ago
Complete the equation of the line through (1,4) and (2,2)<br><br> Use exact numbers.<br> y=?
Aleks [24]

Step-by-step explanation:

slope = 2-4/2-1 = -2

y - 2 = -2(x - 2)

y-2 = -2x +4

y = -2x + 6

8 0
3 years ago
Read 2 more answers
You are building a brick patio. the length of the patio is (x+11) feet.
Romashka-Z-Leto [24]

The expression that represents the width of the patio is (x+3) feet

<h3>Calculating area</h3>

From the question, we are to determine the width of the patio

The area of the patio = Length of the patio × Width of the patio

From the given information,

Length of the patio = (x+11) feet

Area of the patio = x^2+14x+33 = x²+14x+33

Putting the parameters into the formula,

x²+14x+33 = (x+11)  × Width of the patio

∴ Width of the patio = (x²+14x+33) / (x+11)

First, we will factor x²+14x+33

x²+14x+33

x²+11x+3x+33

x(x+11) +3(x+11)

(x+3)(x+11)

Thus,

Width of the patio = [(x+3)(x+11)] / (x+11)

∴ Width of the patio = (x+3) feet

Hence, the expression that represents the width of the patio is (x+3) feet

Learn more on Calculating area here: brainly.com/question/1729755

#SPJ1

7 0
2 years ago
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