Olivia has 21 coins in her drawer. Nine of the coins are nickels, and the rest are pennies. What is the total value of the coins in her drawer?

Answers

Answer 1

Answer: 21 COINS
9 are NICKLES
all the other are pennies
21 - 9 =12
so 12 pennies
1 nickle is 5 cents so
5*9 = 45 cents so
45 + 12 = 57
so the answer is 57 cents

Answer 2

Answer: do 21-9=12. So there are 12 pennies. then since you are finding the value of the coins you do 9*5=45 since there are 9 nickels and each nickel is 5 cents. Then you add 45+12=57. So the value is 57 cents.

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joe want to know the average height of all the seventh grade male student at his school. there are 350 male seventh graders at his school. how can he find the average height without adding up the height of all 350 student.

Answers

He could take a simple random sample of thirty students and make predictions from that as to what the average height would be.

Explain how solve 4^(x+3)=7 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

The value of x is -1.596

Solution:

Given equation is:

$4^((x+3)) = 7$

Let us solve using change of base formula log base b of y equals log y over log b

From given,

$4^((x+3)) = 7$

$\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

Therefore,

$\ln \left(4^(x+3)\right)=\ln \left(7\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\ln \left(4^(x+3)\right)=\left(x+3\right)\ln \left(4\right)\n\n\left(x+3\right)\ln \left(4\right)=\ln \left(7\right)\n$

Let us simplify the above

$\left(x+3\right)\cdot \:2\ln \left(2\right)=\ln \left(7\right)\n\n\mathrm{Divide\:both\:sides\:by\:}2\ln \left(2\right)\n\n(\left(x+3\right)\cdot \:2\ln \left(2\right))/(2\ln \left(2\right))=(\ln \left(7\right))/(2\ln \left(2\right))\n\n$

$\mathrm{Simplify}\n\nx+3=(\ln \left(7\right))/(2\ln \left(2\right))\n\n\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\n\nx+3-3=(\ln \left(7\right))/(2\ln \left(2\right))-3\n\n\mathrm{Simplify}\n\nx=(\ln \left(7\right))/(2\ln \left(2\right))-3$

Substitute the values

ln 7 = 1.9459101490553132

ln 2 = 0.6931471805599453

Therefore,

$x = (1.9459101490553132)/(2 * 0.6931471805599453) - 3\n\nx = 1.40367746103 - 3\n\nx = -1.59632253897 \approx -1.596$

Thus solution for x is found

Which equations have a negative solution?Choose all answers that are correct.

A. -w/2=11
B. -1/6x=-3
C.-4=v/(-10)
D. -3/4 2=8

Answers

A. w= -22 so A has a negative solution.D doesn't have a variable so I'm not sure about it (did you type it correctly?), but because only one side of the equation has a negative number, I'm guessing D is also a negative solution

The answer is A and D :)))))))))

Efectuati calculele:a) ( √5-1) $^(2)$ +√20
b) (√10-3) $^(2)$ +√20*√18
c) 3(√3+1) $^(2)$ -2(√3-2) $x^(2)$

Answers

$\sqrt{(5 - 1)^(2)} + √(20)$

$\sqrt{4^(2)} + √(4 * 5)$

$√(16) + √(4) √(5)$

$4 + 2 √(5)$

$4√(5) + 2 √(5)$

$6 √(5)$

$\sqrt{(10 - 3)^(2)} + √(20 * 18)$

$\sqrt{7^(2)} + √(4 * 9 * 5 * 2)$

$√(49) + √(36 * 10)$

$7 + √(36)√(10)$

$7 + 6√(10)$

$7√(10) + 6√(10)$

$13√(10)$

$\sqrt[3]{(3 + 1)^(2)} - \sqrt{(3 - 2)x^(2)$

$\sqrt[3]{4^(2)} - \sqrt{x^(2)$

$\sqrt[3]{8} \sqrt[3]{2} - x$

$2\sqrt[3]{2} - x$

(3-2x) divided by (1 divided by x+5) multiplied by 8

Answers

Answer: 8(3-2x)(x+5), -16x^2-56+120, x=-5, or x=3/2.

Step-by-step explanation:

First convert the multi fraction into multiplication: 8(3-2x)(x+5)

Then simplify: -16x^2-56+120

If you want, you can solve for x, which gets you x=-5, or x=3/2.

I hope this helps! :P

a family went out to dinner and the bill was $113. If they want to leave a 19% tip, how much tip should they leave?

Answers

In this problem there are several vital information's that have been given. Based on them it is possible to find the required answer.It is already mentioned that the amount of bill for the family is $113. Percentage of tips to be given is 19%
Then
The amount of tips given by the family = 113 * (19/100)
= 113 * 0.19
= 21.47
So the family should leave a tips of $21.47. Sometimes it could additionally be required to find the total amount that the family has to pay. In that case it is required to add the amount of tips with the billed amount.

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