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2 years ago

5

I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coin

s in cents in terms of k.

2 answers:

artcher [175]2 years ago

7 0

Answer:

40k + 35 cents

Step-by-step explanation:

Each quarter is worth 25 cents, each nickels is worth 5 cents and each dime is worth 10 cents.

Value of all quarters:

$25k$

Value of all nickels:

$5*(k+5)\\5k+25$

Value of all dimes:

$10*(2k+1)\\20k + 10$

The value of all coins in terms of k is:

$V=25k+5k+25+20k+10\\V= 40k +35\ cents$

All coins are worth 40k + 35 cents.

andrew11 [14]2 years ago

6 0

Answer:

40k 35cents

Step-by-step explanation:

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Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° tria

Norma-Jean [14]

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is $\sqrt{2}$ times the length of each leg.

Proof:

$\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\$

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, $a^2 + b^2 = c^2$

Since a=b in an isosceles triangle:

$a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2} \\\\c=a\sqrt{2} \\$

Therefore, the next step is to Determine the principal square root of both sides of the equation.

8 0

1 year ago

Read 2 more answers

A person died leaving property worth rs.4000.40. His widow get 0.125 of the property and his son got 0.4 of the remainder. What

belka [17]

Answer:

Widow's Share = Rs 500.05

Son's share = Rs 1400.14

Step-by-step explanation:

Property = 4000.40

Widow get share = 0.125

So, Share of Widow = 0.125 * 4000.40

Widow's Share = Rs 500.05

Remaining Property = 4000.40 - 500.05

Remaining Property = 3500.35

Son's share = 0.4 * 3500.35

Son's share = Rs 1400.14

6 0

1 year ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

1 year ago

Every possible cross section of a three dimensional figure is a circle what is that figure

Korolek [52]

A sphere. It is a perfectly circular and even shape, so all cross sections would be circles.

5 0

2 years ago

Read 2 more answers

Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds

AfilCa [17]

Answer:

$2.96

Step-by-step explanation:

3x$2.67=$8.01

3x$2.73=$8.19

5x$3.27=$16.35

$8.01+$8.19+$16.35=$32.55

This makes 11 pounds of trail mix.

$32.55 divided by 11 = $2.9590909 = $2.96

7 0

2 years ago