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4 years ago

Given h(2) –5x – 1, solve for x when h(x) = -6.

Mathematics

1 answer:

ANTONII [103]4 years ago

4 0

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = -5x - 1

h(x) = -6

Step 2: Substitute and Evaluate

-6 = -5x - 1

-5 = -5x

x = 1

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Ginny's piggybank contained $8.80 in quarters, dimes, and nickels. there were two more than five times as many nickels as quarte

SSSSS [86.1K]

Answer:

There are 13 quarters, 67 nickels, and 22 dimes.

Step-by-step explanation:

The value of a quarter is $0.25, the value of dime is $0.10, and the value of a nickel is $0.05. Let there be q quarters, n nickels, and d dimes.

Let's write equations from the statements given:

"Ginny's piggybank contained $8.80 in quarters, dimes, and nickels.":

$0.25q+0.1d+0.05n=8.80$

"there were two more than five times as many nickels as quarters":

$5q+2=n$

"4 less than twice as many dimes as quarters":

$2q-4=d$

Plugging in equation 2 and 3 into equation 1, we can solve for q:

$0.25q+0.1(2q-4)+0.05(5q+2)=8.80\\0.25q+0.2q-0.4+0.25q+0.1=8.80\\0.7q=8.80+0.4-0.1\\0.7q=9.1\\q=\frac{9.1}{0.7}=13$

Substituting q = 13 into equation 2 will give us nickels:

$n=5q+2\\n=5(13)+2\\n=67$

Substituting q = 13 into equation 3 will give us dimes:

$d=2q-4\\d=2(13)-4\\d=22$

There are 13 quarters, 67 nickels, and 22 dimes.

4 0

3 years ago

Hey guys could anyone please help me with this question?

kompoz [17]

Answer:

$3.54

Step-by-step explanation:

$3.79-25% (because you add the 15% + 10%)

which is $3.54

3 0

3 years ago

Read 2 more answers

Can someone plz help me with this one problem plz!!!

strojnjashka [21]

Answer: 1133.54 yards

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Jaz was 43 inches tall. Eighteen months later, she was 52 inches tall. The constant rate of change for Jaz's height was .

maxonik [38]

Answer:

Constant rate of change for Jaz height will be 0.5 inch per month

Step-by-step explanation:

Jaz present height is 43 inches.

Eighteen months later her height will be 52 inches.

Now we know rate of change will be represented by the formula

Rate of change of height =

= 0.5 inch per month

The constant rate of change for Jaz height will be 0.5 inch per month.

Read more on Brainly.com - brainly.com/question/2012372#readmore

7 0

3 years ago

Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.492.49 on an exam. a) Write a sent

kolezko [41]

Answer:

a) Option C) The score was 2.49 standard deviations higher than the mean score in the class.

b) 2.3%

Step-by-step explanation:

a) We are given that the distribution of test grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$\displaystyle\frac{x-\mu}{\sigma} = 2.49\\\\x - \mu = 2.49\sigma\\x = \mu + 2.49\sigma$

Option C) The score was 2.49 standard deviations higher than the mean score in the class.

b) The z-score for a particular score is -2.

We have to evaluate

P(z < -2)

Calculating the value from normal z-table.

$P(z < -2) = 0.023$

Thus, 2.3% of of the class scored lower than my friend.

6 0

3 years ago