8(t+2)-3(t-4=6(t-7)+8

Answers

Answer 1

Answer: 8(t+2)- 3(t-4) = 6(t-7)+8. Looks like a lot of distributing.
8t+16 - 3t+12 = 6t-42 + 8. Now we can combine like terms.
5t + 28 = 6t - 34. Just solve normally.
28 = t - 34. Add 34 to both sides.
t = 62.

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A caterer made salads. Each salad is made from mixed greens or spinach. The protein on the salad is either chicken, steak, or tofu and each salad has either Italian dressing or a vinaigrette. The salads are placed in a cooler. Without looking, a guest chooses a salad from the cooler. What is the probability that the guest will get a salad with chicken? please make it a fraction in simplest form
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If 1/4inch equals 50 miles, find the miles represented by 4 1/2inches.
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Help me plz u will make my day

Answers

Answer:

K=13

Step-by-step explanation:

So first, we subtract 13 with 3/4 (That comes from 4 3/4) and we get 12 1/4.

And then, we subtract 12 1/4 with 4, and we get 8 1/4

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PLEASE HELP ASAP!Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be a right triangle. Which choice below could be the lengths, in inches, of the sticks rosemary cut?

A. 6, 8, 10.
B. 2, 5, 10.
C. 5, 6, 7.
D. 2, 3, 5.

Answers

Using the Pythagorean Theorem, it is found that the lengths could be given by:

A. 6, 8, 10.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

Hence, in item a:

$h^2 = 6^2 + 8^2$

$h^2 = 100$

$h = 10$

So it is a right triangle.

Item b:

$h^2 = 2^2 + 5^2$

$h^2 = 29$

$h = √(29) \neq 100$

It is not a right triangle.

Item c:

$h^2 = 5^2 + 6^2$

$h^2 = 61$

$h = √(61) \neq 7$

It is not a right triangle.

Item d:

$h^2 = 2^2 + 3^2$

$h^2 = 13$

$h = √(13) \neq 5$

It is not a right triangle.

Hence option a is correct.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

A is probably the correct answer

Can you guys please tell me if what I answered for both are right?

Answers

cant really see the first one, but the second one is correct.

at t=0;
h=-16(0)+40(0)+3
h=3
therefore the initial height is 3 feet, you are correct.

Explain when you know you need to rename a mixed Number to subtract.

Answers

You know that you need to rename a mixed Number to subtract when the numbers involved have different denominators. In such a case, the lowest common multiple (LCM) of the denominators must be calculated and subsequently used to adequately rename the mixed numbers before subtraction can be done.

one serving of cereal is 32 grams ella needs 18 servings of cereal for a soccer team breakfast she wants to buy enough cereal with the least amount left over how much should i buy

Answers

she should buy 2 of the 18

The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been gettin greater. The amounts are normally distributed with a standard deviation of 0.2 ounces. 1. What percent of the time will you get between 5.6 and 6.4 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%

2. What percent of the time will you get between 6 ounces and 6.2 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%

Answers

#1) D, 95%
#2) B, 34%

Explanation
#1) The mean is 6 and the standard deviation is 0.2. 5.6 is 0.4 away from the mean; 0.4 is 2 standard deviations. 6.4 is 0.4 away from the mean; again, 0.4 is 2 standard deviations.

The empirical rule states that 95% of data will be within 2 standard deviations of the mean, so 95% is our answer.

#2) 6.2 is only 1 standard deviation away from the mean. However, this is only half of the percentage from the empirical rule, since we are only considering numbers larger than the mean. The empirical rule states that 68% of data will fall within 1 standard deviation from the mean, so we have
68/2 = 34%.

Final answer:

The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).

Explanation:

The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.

For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).

For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).

Learn more about Normal distribution here:

brainly.com/question/34741155

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Please help me with this please

If a figure is a square then it is a regular quadrilateral is this true or false explain

What would the answer be? 619-(68+q) and q is 386