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pav-90 [236]
3 years ago
8

What is the solution to the equation?

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

a = 3 \frac{1}{3}

Step-by-step explanation:

Given

a + 5 \frac{2}{3} = 9 ← change mixed number to improper fraction

a + \frac{17}{3} = 9 ( multiply through by 3 to clear the fraction )

3a + 17 = 27 ( subtract 17 from both sides )

3a = 10 ( divide both sides by 3 )

a = \frac{10}{3} = 3 \frac{1}{3}

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The formula for the perimeter of a rectangle is P=2l+2w solve the formula for. W
jolli1 [7]
P=2L+2W
1. Subtract 2L from both sides
P-2L=2W
2.Divide both sides by 2 to isolate "W"
P-2L/2=W
3.Flip the equation
W=P-2L/2
So solution is
W=P-2L/2
4 0
4 years ago
Find the domain of the given function. f(x) = square root of quantity x plus eight divided by quantity x plus four times quantit
BaLLatris [955]

Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear.  I will assume that your denominator here is the product of (x+4) and (x-6):

           √x+8)

f(x) = ------------------    

          (x+4)(x-6)

We cannot divide by zero.  Thus, x cannot be -4 and cannot be 6.

Thus, the domain is:

(-infinity, -4) or (-4, 6) or (6, infinity).





7 0
4 years ago
Pablo is dividing a dish of brownies for a party. The brownie mix cost $2.89. He cuts the brownies into squares that measure 3 i
d1i1m1o1n [39]
Okay so if the pan is 12 inches wide you can divided 3 inches by that and get 4. Then do the same thing for the length, 18, and you get 6. Multiply 6 by 4 to get the number of brownies Pablo cut.

You can check my answer by drawing a box on a piece of paper, and drawing little boxes inside. Keep in mind that each brownie is 1 unit, or 3 inches.
8 0
3 years ago
Madison is carrying a 11.3 liter jug of sports drink that weighs 7 kg.
stellarik [79]

Answer:

          \large\boxed{\large\boxed{constat\text{ }multiple=\frac{113liter}{70kg}}}

Explanation:

The <em>constant multiple of liters in a jug to the weight in kilograms</em> is the ratio or <em>fraction</em> that represents the number of liters of the sports drink in a jug to the weight.

constat\text{ }multiple=ratio=\frac{number\text{ }of\text{ }liters}{weight\text{ }in\text{ }kg}

constat\text{ }multiple=\frac{11.3liter}{7kg}

Convert the fraction into an equivalent fraction with integer numbers:

constat\text{ }multiple=\frac{11.3liter\times 10}{7kg\times 10}=\frac{113liter}{70kg}

Since, the fraction cannot be reduced, that is the answer.

6 0
4 years ago
You roll a 6-sided die and toss a coin.
Feliz [49]

Answer:

Answer: 1/3

Step-by-step explanation:

The probability of getting tails when tossing a coin is 1/2

The probability of rolling a number greater than 2 is 4 (3 4 5 6)

So 4/6 or 2/3 of the time is the probability of throwing the die and getting a number greater than 2.

The combined probability of getting both is 1/2 * 2/3 = 2/6 or 1/3

6 0
2 years ago
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