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Amiraneli [1.4K]

3 years ago

12

Solve using the guess-and-test strategy. Michael and Susan have a combined age of 17 years. Michael is 5 years older than Susan.

How old is Michael?

1 answer:

nadezda [96]3 years ago

4 0

If you take 17 and minus 5 you get 12 so if you add 5 back it makes 17 and since Michael is 5 years older he is 22, my mistake

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You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives $x$ dollars,

pav-90 [236]

Answer: You receive 14x+45 dollars for each gallon of cider that you sell.

Step-by-step explanation:

Given: For selling each gallon of cider, the company receives x dollars.

You receive = Remaining amount

i.e. You receive $(Selling price - x)

By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars

i.e. You received 15x+45-x dollars

i.e. You received 14x+45 dollars.

Hence, you receive 14x+45 dollars for each gallon of cider that you sell.

7 0

3 years ago

Can anyone help me with this?

Alexxandr [17]

-1

The inequality is negative 1

6 0

3 years ago

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What is the value of x

zheka24 [161]

Answer:

35

Step-by-step explanation: I used a protractor

3 0

3 years ago

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

<u>Given quadratic equation</u>:

$5x^2-6x-2=0$

<u>Define the variables</u>:

a = 5
b = -6
c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

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3 0

2 years ago

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Which fraction is equal to 0.8? Express your answer in simplest form. A. 3/5 B. 4/5 C. 1/8 D. 5/8

Murrr4er [49]

$0.8 = 0.8 \times \frac{10}{10} = \frac{8}{10} =\frac{4\times 2}{5\times 2} = \boxed{\bf{\frac{4}{5}}}$

Answer is B

4 0

3 years ago