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guapka [62]
3 years ago
10

Ten times the sum of half a number x and 7 is 11

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

\large\boxed{x=-11\dfrac{4}{5}}

Step-by-step explanation:

Ten times the sum of half a number x and 7 is 11:

10\cdot\left(\dfrac{1}{2}x+7\right)=11\qquad\text{use the distributive property}\\\\(10\!\!\!\!\!\diagup^5)\left(\dfrac{1}{2\!\!\!\!\diagup_1}x\right)+(10)(7)=11\qquad\text{simplify}\\\\5x+70=11\qquad\text{subtract 70 from both sides}\\\\5x+70-70=11-70\\\\5x=-59\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{-59}{5}\\\\x=-11\dfrac{4}{5}

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5 0
3 years ago
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m
notka56 [123]

Answer:

a) The variable, M represents the amount of fish Ms. Montesinos has

b) The set equation is 11 + 2 = 3 × M - 2

c) 5

Step-by-step explanation:

The given parameters are;

The number of fishes in Ms. Cruz's tank = 11 fishes

The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes

a) Let the variable, M represent the amount of fish Ms. Montesinos has

b) The set up equation is as follows;

11 + 2 = 3 × M - 2

c) From the equation, 11 + 2 = 3 × M - 2, we have;

13 = 3·M - 2

3·M = 13 + 2 = 15

3·M = 15

M = 15/3 = 5

M = 5

The number of fishes Ms. Montesinos has is 17 fishes

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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