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il63 [147K]
3 years ago
6

The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
To find the answer,we can set up two equations:

Let the integer be x and y seperately,and x be the larger number:

x+y=74
y=74-x....(1)

x-2y=26...(2)

Put (1) into (2):

x-2(74-x)=26
x-148+2x=26
3x=26+148
x=174/3
x=58

Put the above answer into (1):

y=74-58
y=16

Therefore,the answer is x=58, y=16.

Hope it helps!
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∠A and ∠B are adjacent. The sum of their measures is 92∘. ∠A measures (2x+5)∘. ∠B is three times the size of ∠A.
Ilia_Sergeevich [38]

Answer:

Equation:  2x + 5 + 6x + 15 = 92

Solution:  x = 9

m∠A =23°  m∠B = 69°

Step-by-step explanation:

measure of ∠B = 3(2x + 5) = 6x + 15

The sum of the angles = 92 = 2x + 5 + 6x + 15

92 = 8x + 20

72 = 8x

x = 9

m∠A = 2(9) + 5 = 18 + 5 = 23

m∠B = 6(9) + 15 = 54 + 15 = 69

Check:  23 + 69 = 92  and 23(3) = 69

5 0
3 years ago
Solve x2-8x=3 by completing the square. which is the solution set of the equation
Mazyrski [523]

we have

x^{2}-8x=3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2}-8x+16=3+16

x^{2}-8x+16=19

Rewrite as perfect squares

(x-4)^{2}=19

(x-4)^{2}=19\\ (x-4)=(+/-)\sqrt{19} \\ \\ x1=4+\sqrt{19} =8.359\\ x2=4-\sqrt{19} =-0.359

therefore

the answer is

x1=4+\sqrt{19} =8.359\\x2=4-\sqrt{19} =-0.359

5 0
3 years ago
Read 2 more answers
Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee.
svp [43]

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

X = Y + 5/7X (1)

2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y +  220 (2)

So, we solve the 2 equations to find out X and Y

\left \{ {{X=Y + 5/7X} \atop {1.5X=Y +220}} \right.

<=> X = \frac{3080}{17} and Y = \frac{880}{17}

<=> X ≈181 and Y ≈ 52

6 0
3 years ago
What is the value when 18 times of the difference of 15 and 12<br>divided by 6?​
aliya0001 [1]

Answer:

9

Step-by-step explanation:

forget all this grammar,

let the number be x,

x = {18(15-12)} / 6

x = {18(3)} / 6

x= 54/6

x= 9

value is therefore 9

3 0
3 years ago
On a winter day in Alaska, the temperature at noon was -0.6°C. From noon to 3:00, the temperature increased by 1.2°C. From 3:00
vazorg [7]
The expression is -6 + 1.2 + -0.4 + -0.6


7 0
3 years ago
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