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3 years ago

Select the correct answer.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

Answer:

Addition.

Step-by-step explanation:

Addition was used to add 5 to both sides, leaving x by itself.

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Dmitriy789 [7]

65 kg i think or 143 pounds

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GaryK [48]

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Step-by-step explanation:

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3 years ago

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A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the lengt

Nataly_w [17]

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x since thery are in the ratio of 2 :7

Such that Length of the shorter string = 2x

and the longer string = 7x so that the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm

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3 years ago

I WILL AWARD BRAINLIEST!! PLEASE HELP!!

Veseljchak [2.6K]

Answer:

$1)\\\large\boxed{x=\dfrac{a+c}{b},\ if\ b\neq0}\\\\2)\\\boxed{if\ a=\dfrac{63b}{23}\ then\ x\ is\ any\ real \ number}\\\\\boxed{if\ a\neq\dfrac{63b}{23}\ then\ x\ not\ exist\ (no\ solution)}$

Step-by-step explanation:

$1)\\a-(a+b)x=(b-a)x-(c+bx)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\a-ax-bx=bx-ax-c-bx\qquad\text{cancel}\ bx\ \text{on the right side}\\\\a-ax-bx=-ax-c\qquad\text{add}\ ax\ \text{to both sides}\\\\a-bx=-c\qquad\text{subtract}\ a\ \text{from both sides}\\\\-bx=-a-c\qquad\text{divide both sides by}\ -b\neq0\\\\x=\dfrac{-a-c}{-b}\\\\x=\dfrac{a+c}{b}$

$2)\\2(3x-5a)+9(2a-7b)+3(5a-2x)=0\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(3x)+(2)(-5a)+(9)(2a)+(9)(-7b)+(3)(5a)+(3)(-2x)=0\\\\6x-10a+18a-63b+15a-6x=0\qquad\text{combine like terms}\\\\(6x-6x)+(-10a+18a+15a)-63b=0\\\\23a-63b=0\qquad\text{add}\ 63b\ \text{to both sides}\\\\23a=63b\qquad\text{divide both sides by 23}\\\\a=\dfrac{63b}{23}\\\\if\ a=\dfrac{63b}{23}\ then\ x\ is\ any\ real \ number\\\\if\ a\neq\dfrac{63b}{23}\ then\ x\ not\ exist\ (no\ solution)$

3 0

4 years ago

A factory packages 4250 boxes of cereal. The number of oat cereal boxes is 715 more than the number of wheat cereal boxes. The n

ozzi

O = number of oat cereal, w = number of wheat cereal, f = number of fruit cereal:

o + w + f = 4250
o = w + 715
f = 5w

The second equation tells us the value of o in terms of w, and the third equation tells us the value of f in terms of w, so we can plug in "w + 715" for o and "5w" for f in the first equation:

o + w + f = 4250
(w + 715) + w + (5w) = 4250

Then, add like terms and subtract and divide to isolate the w:

w + 715 + w + 5w = 4250
7w + 715 = 4250 Subtract 715 on both sides:
7w = 3535 Divide by 7 on each side:
w = 505

Now that we have w, we can plug it into the last equation to find f, the number of fruit cereal boxes:

f = 5w
f = 5(505)
f = 2525

Therefore, the factory packages 2525 fruit cereal boxes.

4 0

4 years ago