Ruben digs a hole at the beach that is 4.8 feet deep. Brian uses the sand Ruben digs up to build a sand castle that is 2.5 feet tall.
Which statement correctly compares the depth of Ruben’s hole and height of Brian’s castle?
A. |–4.8| > |2.5|
B. |–4.8| < |2.5|
C. –4.8 > 2.5
D. |–4.8| < 2.5

Answer:

option A

Explanation:

General measurement for a treehouse:

For best measurement, option A is correct.

In option B and C, the measurement is too small for the tree house.

Answer:

6

Step-by-step explanation:

Think of the activities as numbers 1, 2, 3, 4. Since she can only do two, here are all the combinations: 1 and 2, 1 and 3, 1 and 4, 2 and 3, 2 and 4, 3 and 4.

That is 6 different combinations in total.

Answer:

B)2

Step-by-step explanation:

We want to figure out the 415th digit of this repeating decimal.

[tex] \dfrac{2}{7} = 0. \overline{285714}[/tex]

Obviously it's almost impossible and absurd to find the answer by writing down all the 415 digits. So instead we're going to use some tricks to do so.

There're 6 repeating digits. dividing 415 by 6 yields 69.17. Now multiplying 69 by 6 yields 414 which means that the 414th digit of the repeating decimal would be the last digit of the repeating digits, that is,4 and hence The 415th digit of the repeating decimal is gonna be 2. Hence the answer is B

Answer:  No

Explanation:

Replace p with 2 and simplify

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

We get a false claim, so the original inequality 8 ≠ 3p + 2 is false when p = 2. Meaning that p = 2 is not a solution.

If the "not equal" sign was changed to an equal sign, then we would have a solution.

Answer:

no / false

Step-by-step explanation:

If we set the "p" in this equation to be equal to 2 (p = 2), we can test this inequality:

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

FALSE STATEMENT

so, p = 2 is not a solution to this inequality

(no)

hope this helps!!

{"≠" means the opposite of = [the two sides of the equation are not equal, which is not true for this situation] }

Answer:

Any equation with a slope greater than ²/₃

Step-by-step explanation:

Given table:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]

The unit rate is a ratio that compares the first quantity to one unit of the second quantity.  The unit rate is also the slope of a linear equation.

Linear equation

[tex]y = mx + b[/tex]

where:

To find the slope, take two ordered pairs from the table:

[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]

[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]

Substitute them into the slope equation:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.

Slope of table

Slope

Any equation having slope greater than 2/3 has higher unit rate than that of table

Answer:

3/5 of the students in the class are not in accounting majors

Step-by-step explanation:

The total number of males in the class is 3/8

3/5 of them are accounting majors

The ones who are not in accounting majors are;

3/8 - 3/5 = 9/40

The total number of female students in the class is;

8/8 - 3/8 = 5/8

1/4 of them are accounting majors

The ones who are not in accounting majors are;

5/8 - 1/4 = 3/8

Total number of students not in accounting majors;

9/40 + 3/8

= 24/40

= 3/5

Answer:

24 students prefer pepsi to coke

Step-by-step explanation:

84 divided by 7 is 12

12 times five is 60

84 minus 60 results in 24 students

Answer:

It is 49 students.

Step-by-step explanation:

So, 5:7 in fraction form is 5/12 and 7/12 so when you you multiply 7/12 and 84 you get 48.72 and then you can round your answer to 49 students.

Answer: $638.40

Step-by-step explanation:

45% converted to a decimal is 0.45

0.45 of $1200 = 0.45* $1200 (of in this case means multiply)

0.45 * $1200= $440

Because they said 11% of remaining salary, we have to do:

$1200-$440=$760

Now 11% converted to a decimal is 0.11

5% converted to a decimal is 0.05

So 0.11+0.05

0.11+0.05= 0.16

Now 0.16 *$760=$121.60

Now we find the remaining amount so we subtract: $760-$121.60= $638.40

So our answer is $638.40 left

Answer:

supplementary angles

Step-by-step explanation:

the two angles add up to 180 degrees, which is the definition of supplementary angles.

Answer:

V = 32

Step-by-step explanation:

Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

pi = 3

V = 4/3 * pi * r^3

Givens

r = 2

pi = 3

Solution

V  = 4/3 * pi * r^3                     Substitute values for symbols

V = 4/3 * 3 * 2^3                      Cancel the 3s

V = 4 * 2^3                               Expand the 2s

V = 4 * 2 * 2 * 2                       Find V

V = 32

In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.

[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]

Where,

[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]

[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]

Answer:

  3504.24 square meters

Step-by-step explanation:

You want the surface area of a cylinder of radius 18 m and height 13 m.

The surface area of a cylinder is given by the formula ...

  A = 2πr(r +h)

  A = 2(3.14)(18 m)(18 m +13 m) = 3504.24 m²

The surface area of the cylinder is about 3504.24 square meters.

<95141404393>

Answer:

B or C It depends on the definition of opposite sides

Step-by-step explanation:

Perpendicular lines bisect eachother. Parallel lines would never touch eachother.

Answer:

Head Tails

Step-by-step explanation:

I hope this helps:)

Answer:

7.0

Step-by-step explanation:

Split the integrand into partial fractions.

[tex]\dfrac{9x+2}{x^2+x-6} = \dfrac{9x+2}{(x-2)(x+3)} = \dfrac a{x-2} + \dfrac b{x+3}[/tex]

[tex]\implies 9x+2 = a(x+3) + b(x-2) = (a+b)x + (3a-2b)[/tex]

[tex]\implies \begin{cases}a+b=9 \\ 3a-2b=2\end{cases} \implies a=4,b=5[/tex]

Then we have

[tex]\displaystyle \int \frac{9x+2}{x^2+x-6} \, dx = 4 \int \frac{dx}{x-2} + 5 \int \frac{dx}{x+3} \\\\ = \boxed{4\ln|x-2| + 5\ln|x+3| + C}[/tex]

which follows from the result

[tex]\displaystyle \int \frac{dx}x = \ln|x|+C[/tex]

Answer:

-2

Step-by-step explanation:

if you divide 8 by -2 you get -4

Answer:

The solution of a number divides by 8 equals to 4.

Step-by-step explanation:

This statement does not match the condition discussed above.

Answer:

In vertex form: y = 1(x - (-3))² + 7

Vertex: Minimum (-3, 7)

Explanation:

Vertex form: y = a(x - h)² + k

Completing square (rules) :

1st rule: (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²

2nd rule: x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Given equation:

y = x² + 6x + 16

y = x² + 2(3)x + 3² + 7

y = (x + 3)² + 7

Into vertex form:

y = 1(x - (-3))² + 7

From this identify:

a = 1, h = -3, k = 7

Solution, vertex of this equation: Minimum (-3, 7)

Answer:

Option B       1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

[tex]V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h[/tex]  where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio.  Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}[/tex]

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}[/tex]

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}[/tex]

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

Answer:

11.271

Step-by-step explanation:

just multiply

Answer:

11.271

Step-by-step explanation:

Multiply

2.21 by 5.1

Answer:

5 pennies = 1 nickel1 nickel = 5 pennies1 nickel + 5 pennies = 1 dime1 dime = 1 nickel + 5 pennies10 pennies = 1 dime1 dime = 10 pennies2 nickels = 1 dime1 dime = 2 nickels5 nickels = 1 quarter1 quarter = 5 nickels2 dimes + 1 nickel = 1 quarter1 quarter = 2 dimes + 1 nickel4 nickels + 5 pennies = 1 quarter1 quarter = 4 nickels + 5 pennies2 dimes + 5 pennies = 1 quarter1 quarter = 2 dimes + 5 pennies10 pennies + 3 nickels = 1 quarter1 quarter = 10 pennies + 3 nickels1 dime + 2 nickels + 5 pennies = 1 quarter1 quarter = 1 dime + 2 nickels + 5 pennies1 dime + 1 nickel + 10 pennies = 1 quarter1 quarter = 1 dime + 1 nickel + 10 pennies2 quarters = 1 half dollar1 half dollar = 2 quarters5 dimes = 1 half dollar1 half dollar = 5 dimes

5 nickels + 1 quarter = 1 half dollar1 half dollar = 5 nickels + 1 quarter3 dimes + 4 nickels = 1 half dollar1 half dollar = 3 dimes + 4 nickels4 dimes + 2 nickels = 1 half dollar1 half dollar = 4 dimes + 2 nickels1 quarter + 1 dime + 2 nickels + 5 pennies = 1 half dollar1 half dollar = 1 quarter + 1 dime + 2 nickels + 5 pennies2 half dollars = 1 one dollar coin1 one dollar coin = 2 half dollars5 dimes + 10 nickels = 1 one dollar coin1 one dollar coin = 5 dimes + 10 nickels1 one dollar bill = 1 one dollar coin1 one dollar coin = 1 one dollar bill4 quarters = 1 one dollar bill1 one dollar bill = 4 quarters3 quarters + 2 dimes + 1 nickel = 1 one dollar bill1 one dollar bill = 3 quarters + 2 dimes + 1 nickel10 dimes= 1 one dollar bill1 one dollar bill = 10 dimes1 quarter + 7 dimes + 1 nickel = 1 one dollar bill1 one dollar bill = 1 quarter + 7 dimes + 1 nickel2 quarters + 2 dimes + 5 nickels + 5 pennies = 1 one dollar bill

Step-by-step explanation:

This program simplifies our complex monetary system by familiarizing users with common combinations of coins and bills that are equivalent in value. Starting with five pennies equal one nickel, the program works up to equivalents for a twenty dollar bill.

Answer:

$1.05

Step-by-step explanation:

1 dime = 10 cents so 7 dimes = 70 cents
1 quarter = 25 cents

Therefore 10 cents + 7 dimes + 1 quarter = 10 + 70 + 25 = 105 cents = $1.05

Answer:

She finished swimming lesson at 2:15 p.m.

and reading book at 2:50 p.m.

Step-by-step explanation:

I hope this helped (:

Lola finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Lola's swimming class began at 1:30 p.m. and lasted 45 minutes.

She then spent 35 minutes reading a book.

To determine the time did she finish her swimming lesson and the time did she finish reading.

swimming  end time = began time + class duration

swimming  end time = 1:30 p.m. + 45 minutes

swimming end time = 2:15 p.m.

reading end time = began time + reading duration

reading end time = 2:15 p.m. + 35 minutes

reading end time = 2:50 p.m.

Thus, she finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

1. Infinite

2. Inequality

3. Closed circle

4. Open circle

Brainliest, please :)

Answer:

30%

Step-by-step explanation:

To express percentage as a fraction, the denominator must be 100.

Given ,

[tex]\frac{18/60}{60/60}\\= \frac{0.3}{1} \\= 0.3 * 100\\= 30%[/tex]

Answer:

1) Percent of skateboards that are longboards is 18÷60 or 30%

2) Number needed for equivalent ratio is 30 longboards

Step-by-step explanation:

1) Percentage= part divided by whole

18÷60 = 0.3

0.3 = 30%

2) Create a proportion, let x = # longboards needed for a equivalent ratio

(18÷60)=(x÷100)

x=30

Answer:

75 ¢

Step-by-step explanation:

10 cents +6 dimes + 5 cents equals  75 cents   or   3/4 of a dollar

Answer:

  D.  8/7

Step-by-step explanation:

A probability value is always in the interval [0, 1], between 0 (can't happen) and 1 (certain to happen).

__

A value of 8/7 will not be a probability. Statement D does not correctly use probability.

Answer:

154 is the mean

Step-by-step explanation:

First, you will add up all the numbers. This will give you a total of 770, then you have to divide the number, which is 5. So 770 ÷ 5 = 154.


I Hope This Helped :D

Answer:

154

Step-by-step explanation:

You can find the mean, or average, of a data set in two simple steps:

1. Find the sum of the values by adding them all up.

2. Divide the sum by the number of values in the data set.

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed