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garri49 [273]
2 years ago
14

When seven is subtracted from half of a number, the result is negative three. Find the number

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
5 0

Answer:

8

Step-by-step explanation:

0.5x-7=3

add 7 to both sides

0.5x=4

multiply both sides by 2

x=8

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The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s presen
fomenos
Hello,

Let's assume f the age of the father,
s the age of the son.

<span>The age of a father is 2 less than 7 times the age of his son ==> f=7s-2 (1)

</span>
<span>In 3 years, the sum of their ages will be 52 ==>(f+3)+(s+3)=52 (2)

(2)==>f+s+6=52
==>f+s=46 (3)
(3) and (1) ==>7s-2+s=46
==>8s=48
==>s=6
f=46-6=40




</span>

6 0
2 years ago
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Step-by-step explanation:

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2 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 + 2x = 17
earnstyle [38]

Answer:

<h2>x = -5.24 or x = 3.24</h2>

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(8)\\\\x^2+2x=17\\\\x^2+(2)(x)(1)=17\qquad\text{add}\ 1^2\ \text{to both sides}\\\\\underbrace{x^2+(2)(x)(1)+1^2}_{(*)}=17+1^2\\\\(x+1)^2=18\iff x+1=\pm\sqrt{18}\qquad\text{subtract 1 from both sides}\\\\x=-1\pm\sqrt{18}\\\\x\approx-1-4.24=-5.24\ \vee\ x\approx-1+4.24=3.24

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Step-by-step explanation:

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