Albert used 3/8 of a half gallon of paint. What fraction of a gallon of paint did he use?

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The temperature on Wednesday was 8° more than a third of Tuesday’s temperature. If T represents Tuesday’s temperature, write an expression for Wednesday’s temperature, W.

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I love these problems -- you don't have to do math -- it's all just reading and using logic! So we're saying T represents Tuesday. 8 more than can be expressed as what? +8. A third can be expressed as what? 1/3. What are we splitting into thirds? T. Therefore, 1/3t+8 is your answer.

Answer:

what is it

Step-by-step explanation:

What volume in ml of 0.500 M silver nitrate is required to completely react with 25.0 ml of 1.5 M calcium chloride?

Answers

First, the balanced chemical equation of the reaction must be written. This gives:

2 AgNO3 (aq) + CaCl2 (aq) --> 2 AgCl (s) + Ca(NO3)2 (aq)

This shows that for every mole of CaCl2, 2 moles of AgNO3 reacts (1:2 ratio). Given the volume and molarity of CaCl2, we can compute for the number of moles of CaCl2.

moles CaCl2 = 1.5M(25mL/1000) = 0.0375 moles

Now, we can also compute for the moles of AgNO3 using the balanced equation.

moles AgNO3 = 2(0.0375) = 0.075 moles

Using the moles and molarity of AgNO3, we can compute for the volume needed.

volume (mL)/1000 = 0.075/0.5 = 150 mL of silver nitrate solution is required.

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

Answer: The probability that he pianist will be a boy and the alternate will be a girl is 30%.

Explanation:

Since we have given that

Number of boys are auditioning to play the piano for a school production = 2

Number of girls are auditioning to play the piano for a school production = 3

Total number of candidates is given by

$2+3=5$

Now,

Let Event A denotes pianist will be a boy.

Let Event B denotes alternate will be girl.

Since Event A and B are independent events so,

$P(\text{ A and B})=P(A)* P(B)$

So,

Probability that the pianist will be a boy and the alternate will be a girl is given by

$(2)/(5)* (3)/(4)\n\n=(6)/(20)=(3)/(10)$

Now, we have to change it into percent ,

$(3)/(10)* 100=3* 10=30\%$

Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.

The probability helps us to know the chances of an event occurring. The probability that the pianist will be a boy and the alternate will be a girl is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As there are 2 boys and 3 girls. And out of this total of 5 people, we need to know the probability of a boy being selected first. Therefore, the probability can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of boys}}{\text{Number of people}} = (2)/(5)$

Now since one boy is already selected the number of choices will reduce to 4, therefore, the probability of selecting a girl next can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of girls}}{\text{Number of people}} = (3)/(4)$

Thus, the probability that the pianist will be a boy and the alternate will be a girl can be written as,

$\rm Probability=\frac25 * \frac34 = (3)/(10) = 0.3$

Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3.

Learn more about Probability:

brainly.com/question/795909

Evaluate tan(sin^-1 (-4/5))

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Here, we are required to evaluate tan(sin^-1 (-4/5)).

tan(sin^-1 (-4/5)) = (-4/3)

Sin^-1 (-4/5) = θ

Therefore; ultimately Sin θ = (-4/5)

Since; Sine = opposite / hypothenus

Therefore, adj = √(5²) - (4²)

adj = 3.

However, since tan(sin^-1 (-4/5)) = tan θ

Therefore, tan θ = 4/3

However, since sin θ and tan θ are only negative in the fourth quarter;

Therefore, tan θ = (-4/3)

Read more:

brainly.com/question/21546908

$\theta=\sin ^(-1)\left(-(4)/(5) \right )$ is in the fourth quadrant. Hence,

$\tan \theta<0$

From a right triangle (check out the attachment) we get

$\bullet\;\;\cos \theta=(3)/(5)\n\n\n \bullet\;\;\tan \theta=-(4)/(3)\n\n\n\n \therefore~~\boxed{\begin{array}{c} \tan\left(\sin^(-1) \left(-(4)/(5) \right )\right)=-(4)/(3) \end{array}}$

Increase 44 by 10%.

Answers

all we have to do is find 10% of 44 and add sooo
first we need to know that 10% = 0.10
soo lets multiply
44 x 0.10 =4.4
so now we add to our first number
44 + 4.4 = 48.4
Answer? = 48.4
hope this helps:P
and don't forget 2
MARK ME BRAINLIEST! :D

1. A quarry shaped like a cone has a height of 42 ft and a diameter of 48 ft.What is the volume of the quarry?
Use 3.14 to approximate pi, and express your final answer in hundredths.
-----ft3
2.
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.
------cm
3.
A cone-shaped container sits inside a larger cone. The inner cone has a height of 3 in. and a diameter of 6 in. The outer cone has the same diameter and is 15 in. tall. The extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
What is the volume of crushed ice?
Use 3.14 to approximate pi, and express your final answer in hundredths.
------in3
4.Jade scooped sand from a completely filled cylinder using a cone-shaped container. The cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
What were the dimensions of the cone-shaped container? Use 3.14 to approximate pi.
A. h = 5 in.; r = 9 in.

B. h = 9.6 in.; r = 15 in.

C. h = 11.25 in.; r = 12 in

D. h = 15 in.; r = 6 in.

5.A cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour.
How many hours will it take to drain all of the liquid?
Use 3.14 to approximate pi.
--------h

Answers

the volume of the quarry = 25320.96 cubic ft

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