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3 years ago

-Solve each equation. Example x+3=12 9+3=12

Mathematics

1 answer:

mash [69]3 years ago

7 0

$y + 9 = 9 | - 9 \\ y+ 9 - 9 = 9 - 9 \\ y = 0$

$10 + 2x = 20 | - 10 \\ 10 + 2x - 10 = 20 - 10 \\ 2x = 10 | \div 2 \\ 2x \div 2 = 10 \div 2 \\ x = 5$

$17 + 3c = 26 | - 17 \\ 17 + 3c - 17 = 26 - 17 \\ 3c = 9 | \div 3 \\ 3c \div 3 = 9 \div 3 \\ c = 3$

$x - 4 = 3 | + 4 \\ x - 4 + 4 = 3 + 4 \\ x = 7$

$2z - 7 = 7 | + 7 \\ 2z - 7 + 7 = 7 + 7 \\ 2z = 14 | \div 2 \\ 2z \div 2 = 14 \div 2 \\ z = 7$

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Answer:

Ella should add $32\dfrac{5}{6}$ lbs of water.

Total weight of syrup $33\dfrac{1}{3}$ lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x -- 100%

0.5 -- 1.5%

Write a proportion:

$\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}$

Cross multiply:

$1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs$

Ella should add $32\dfrac{5}{6}$ lbs of water.

Total weight of syrup

$32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs$

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3 years ago

Plsss answer I will mark as brilliant

Papessa [141]

Answer:

10p because when a number is with a letter its always multipucation

like 11x = 11x1

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