Solving quadratic equations using square roots

Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cart

sergejj [24]

2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

5/100 = 24/x

5x = 24(100)

5x = 2400

x = 480

ANSWER: 480 cartons

6 0

3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl

Annette [7]

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

$\frac{3}{8}x-17=10$ Keep 'x' on the left and move everything over.

$\frac{3}{8}x-17+17=10+17$ Add 17 to both sides. "-17" cancels out on the left.

$\frac{3}{8}x=27$ Simplified right side

$\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}$ Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

$x=27/\frac{3}{8}$ To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

$x=27*\frac{8}{3}$ Combine the factors into one fraction.

$x=\frac{27*8}{3}$ Multiply 27 by 8 in the numerator.

$x=\frac{216}{3}$ Simplify the fraction by dividing top by bottom.

$x=72$ Final answer, solved for 'x'

5 0

3 years ago

If you grow 523 eggplants and sell 378, how many do you have left?

Citrus2011 [14]

145, you subtract the total number with how many you sold
523-378=145

4 0

3 years ago

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Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru

valina [46]

For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
The test statistic is -1.941 and the p-value (0.0381) is greater than α = 0.01.
Based on this, we should fail to reject the null hypothesis.
Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

$t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }$

Where:

x is the sample mean.

u is the mean.

is the standard deviation.

n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

$t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }$

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is greater than α = 0.01. Based on this, we should fail to reject the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

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4 0

2 years ago

Give the ratio of sin and tan if cos = 5/13 URGENT!!!

Juli2301 [7.4K]

Answer: anA=sinAcosA=1213513=1213⋅135=125 .

Step-by-step explanation: your welcome hope this helps

6 0

3 years ago

Read 2 more answers