A. Solve formula for h

B. Find the height of a right circular cylinder whose volume is 72π cubic inches and whose radius is 6 inches.

Answer:
**A.) **

**B.) **

Jamie earned $25,000 as an early childhood teacher in the Lindbergh School District. She was promoted to a sixth grade teaching position that included an 80% raise. What will she earn as a new sixth grade teacher?

Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall. Write and evaluate an expression to find how many balloons Sarah has left.

A C B, X Z YIs there enough information to prove that the triangles are congruent?If yes, provide the correct Triangle Congruence Postulate or Theorem and acongruence statement.If no, justify your answer.

Alejando read 4 pages in a book in 6 minutes. How long would you expect him to read 6 pages at this rate

Determine the validity of the following argument: For students to do well in a discrete mathematics course, it is necessary that they study hard. Students who do well in courses do not skip classes. Students who study hard do well in courses. Therefore students who do well in a discrete mathematics course do not skip class.

Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall. Write and evaluate an expression to find how many balloons Sarah has left.

A C B, X Z YIs there enough information to prove that the triangles are congruent?If yes, provide the correct Triangle Congruence Postulate or Theorem and acongruence statement.If no, justify your answer.

Alejando read 4 pages in a book in 6 minutes. How long would you expect him to read 6 pages at this rate

Determine the validity of the following argument: For students to do well in a discrete mathematics course, it is necessary that they study hard. Students who do well in courses do not skip classes. Students who study hard do well in courses. Therefore students who do well in a discrete mathematics course do not skip class.

**Answer:**

0.025 grams

**Step-by-step explanation:**

The water in the stopcock has a volume of 25 mL initially, After that, the whole water was drained out. So we have:

Volume of drained water = (25 mL)(1 x 10⁻⁶ m³/1 mL)

Volume of drained water = 25 x 10⁻⁶ m³

Density of drained water = 1000 kg/m³

So, for the mass of drained water:

**Density of drained water = Mass of drained water/Volume of drained water**

**Mass of drained water = (Density of drained water)(Volume of drained water)**

**Mass of drained water = (1000 kg/m³)(25 x 10⁻⁶ m³)**

**Mass of drained water = 0.025 gram**

**Density **

**Answer:**

11

**Step-by-step explanation:**

*D+16/3=17 the steps?*

1. D+16/3=17

**Divide 16/3. **

D+6 = 17

**2. subtract 6 from both side. **

D = 11.

Answer is D=35

STEP1:

d + 16

Simplify ——————

3

Equation at the end of step

1

:

(d + 16)

———————— - 17 = 0

3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

17 17 • 3

17 = —— = ——————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(d+16) - (17 • 3) d - 35

————————————————— = ——————

3 3

Equation at the end of step

2

:

d - 35

—————— = 0

3

STEP

3

:

When a fraction equals zero :

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

d-35

———— • 3 = 0 • 3

3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

d-35 = 0

Solving a Single Variable Equation:

3.2 Solve : d-35 = 0

Add 35 to both sides of the equation :

d = 35

STEP1:

d + 16

Simplify ——————

3

Equation at the end of step

1

:

(d + 16)

———————— - 17 = 0

3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

17 17 • 3

17 = —— = ——————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(d+16) - (17 • 3) d - 35

————————————————— = ——————

3 3

Equation at the end of step

2

:

d - 35

—————— = 0

3

STEP

3

:

When a fraction equals zero :

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

d-35

———— • 3 = 0 • 3

3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

d-35 = 0

Solving a Single Variable Equation:

3.2 Solve : d-35 = 0

Add 35 to both sides of the equation :

d = 35

**Answer:**

210 days

**Step-by-step explanation:**

There are 7 days in a week and since he goes for 5 weeks every summer, he goes for 35 days every year. Since he has attended for 6 years, multiply 35 by 6 to get 210, the number of days he has attended camp for.

**Answer:**

**210 days**

**Step-by-step explanation:**

Eric has attended __5 weeks__ summer camp for a year.

They are asking for __6 years__

∴6*5 = __30 weeks__ Eric had totally in 6 years.

But they want the answer in days:

1 week = 7 days

30 weeks = 30*7 = **210 days**

(If this helps you I am happy, if there is a mistake let me know.)

Your welcome

The question is not clear at all

**Answer:**

0

**Step-by-step explanation:**

Hope this helps

**Answer:**

26.11% of women in the United States will wear a size 6 or smaller

**Step-by-step explanation:**

**Problems of normally distributed samples are solved using the z-score formula.**

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

**In this problem, we have that:**

**In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?**

This is the pvalue of Z when X = 22.4. So

has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or smaller