What is the product of 7x -4 and 8x +8

The height of the soil in the new planter is 4/3 feet

Consider the old planter

The height of the prism = [tex]1\frac{1}{2}[/tex] feet = 3/2 feet

The length of the prism = [tex]3\frac{2}{3}[/tex] feet = 11/3 feet

The width of the prism = 2 feet

The volume of the rectangular prism = Length × width × height

= 11/3 × 2 × 3/2

= 11 cubic feet

The area of the base of the new planter = [tex]8\frac{1}{4}[/tex] square feet = 33/4 square feet

The volume of both planter will be equal

The base area × height = volume

33/4 × h = 11

h = 11 / (33/4)

h = 11 × 4/11

h = 4/3 feet

Therefore, the height of the new planter is 4/3 feet

Learn more about volume here

brainly.com/question/21308574

#SPJ4

Answer:

8, 0

Step-by-step explanation:

9 is the mean of clusters

What are equivalent equations?

Equivalent equations are algebraic equations that are having identical roots or solutions. By adding or subtracting the same number or expression to both side of an equation we get an equivalent equation. Also by multiplying or dividing both sides of an equation by the same non zero number we get equivalent equation.

To know more about the equivalent equation

https://brainly.com/question/2972832

#SPJ1

The inequality that can be used to determine the number of books, b, Erin must sell in order to meet her goal of making more than $180 in book sales is 12b ≥ 180.

2. The solution to the inequality 12b ≥ 180 is that b ≥ 15.

Inequality is a mathematical statement that two or more mathematical expressions are unequal because their solutions are not equivalent in value.

Inequalities are depicted as less than (<), more than (>), not equal to (≠), less than or equal to (≤), and more than or equal to (≥).

The selling price per book = $12

The total sales revenue expected is ≥ $180

The number of books = b

Inequality describing the situation = 12b ≥ 180

b ≥ 180 ÷ 12

b ≥ 15

Thus, we can conclude that Erin needs to sell 15 or more books to earn $180 or more from the book sales.

Learn more about inequalities at https://brainly.com/question/25944814

#SPJ1

Answer:

The selected answer should be correct!

Step-by-step explanation:

I did the problem step by step and got 1 5/7 which is the simplified version of 1 15/21.

I hope this helped somewhat!!

There are 45 different ways in which two of them can be selected as the best students in the class.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations).

A k-combination of a set S is officially defined as a subset of S's k unique elements.

Total number of students = 10

Number of students to be selected = 2

No. of ways = 10C2

                   = (10*9)/2

                   = 5*9

                   = 45

Hence, there are 45 different ways in which two of them can be selected as the best students in the class.

To learn more about students here:

https://brainly.com/question/16209277

#SPJ4

Y= 2.5x equation represent their relationship .

An equation is a formula that is express the equality of two expressions ,by the connecting them with the equal sign .

The process of equting one thing with another is called the equation of science with objective .

The equation is representing direct proportion is, by the connecting them with in the equal sign.

y = kx ← k is the constant of proportion

Here k = 2.5 , thus

y = 2.5x ← equation of proportion.

To know more about equation click-

https://brainly.com/question/2972832

#SPJ1

Answer:

A. Imaginary Square is 1 so ye ignore

Answer:

5

Step-by-step explanation:

[tex] {x}^{3} - {2xy}^{2} + {y}^{3} \\ {( - 2)}^{3} - 2( - 2)(3) {}^{2} + {3}^{3} \\ - 8 + 4 - 18 + 27 \\ 31 - 26 = 5[/tex]

Answer:

55

Step-by-step explanation:

1. Substitute in the values

  -2^3 - ( 2 * -2 * 3^2 ) + 3^3

2. Simplify the powers

  -8 - ( 2 * -2 * 9 ) + 27

3. Solve the brackets

  -8 - ( -4 * 9 ) + 27

  -8 - ( -36 ) + 27

  -8 + 36 + 27

4. Solve

  -8 + 63

  55

The transformation from f(x) = -7|x| + 7 to  g(x) =  7|x|- 7 is-

The graph of f(x) has been moved 14 units down. Then it is rotated upwards to get the graph of g(x)

What is rotation?

The mathematical transformation which turns a geometrical figure about a fixed point is called rotation. The fixed point is called center of rotation.

f(x)= –7|x|+7

g(x) =  7|x|- 7

At first the graph of f(x) has been moved 14 units down. Then it is rotated upwards to get the graph of g(x)

To learn more about rotation, refer to the link-

https://brainly.com/question/26249005

#SPJ1

Answer:

x = 30 degrees

Step-by-step explanation:

By Parts-Whole Postulate, x + 100 = 130, meaning that x = 30 degrees.

Answer: 30

Step-by-step explanation: 130-100=30

Answer: 40%

Step-by-step explanation:

Take 10 divided by 25; then times 100 = 40%

Answer:

C. 45,257

Step-by-step explanation:

5280 * 60 = 316,800

316,800 ÷ 7 = 45,257

The distance between two consecutive rest stops is 45257 feet.

Division is the process of dividing a number by a given number.

Given that, the 60-mile road is divided into 7 equal parts.

The length of each part is:

60/7 mile

Given that;

1 mile = 5280 feet

Therefore;

60/7 mile = (60/7)5280 feet

60/7 mile ≈ 45257 feet

Hence, the distance between two consecutive rest stops is 45257 feet.

To learn more about division, click here:

https://brainly.com/question/10571790

#SPJ2

Answer:

<

A

Step-by-step explanation:

32 more blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4

A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles.

we need to find the numbar of blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4

Let the number of blue marbles added be n,

required probability P = 3/4

Total marbles = 10 + 7 + 3

                      = 20

Number of blue marbles=7

Using definition of probability,

(7 + n)/(20+n) = 3/4

4(7+n)=3(20+n)

28+4n=60+3n

n = 32

Therefore, we need to add 32 more blue marbles to make the probability of randomly drawing a blue marble be 3/4.

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ4

Answer:

[tex]\frac{85}{17}[/tex]

Step-by-step explanation:

[tex]\frac{8.5}{1.7}[/tex] multiply the top and bottom by 10

[tex]\frac{85}{17}[/tex]

Answer:

60

Step-by-step explanation1

135 = 2x+15 => corresponding angles

2x= 135-15

2x= 120

x= 60

Answer:

The point on the segment connecting A and B that is 4 times as far from B as it is from A is (-8, 8).

Answer:

or the distance to be 4 times the distance from B as A   the segment must be divided into (4+1) = 5 segments

  so we want the point that is 1/5 of the way from A to B

x    from A   to B   is     2   to   - 6   =   -8 units       1/5 * -8    +  2  =    0.4

y    from A   to B   is     7 to    -3    =   -10 units      1/5 * -10  +  7    = 5    

Answer:

Step-by-step explanation:

The answer is 12

Answer:

x=12

Step-by-step explanation:

[tex]\frac{5}{6}x+3=13\\\frac{5}{6}x+3-3=13-3\\\frac{5}{6}x=10\\6(\frac{5}{6}x)=10(6)\\5x=60\\(\frac{1}{5})5x=60(\frac{1}{5})\\x=12[/tex]

a) The probability of rolling a total of 5 is 1/9.

b) If a pair of fair dice 360 times, then 40 times you will get a total of 5.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The number of 5 in the table is 4.

The total number of outcomes is 6 × 6 = 36

The number of outcomes of favorable event is 4.

Total number of outcomes is 36.

The probability getting total of 5 after rolling the pair of dice is

=4/36

Divide the denominator and numerator by 4:

= 1/9

If 360 time the pair of dice rolled, the number of times to get total 5 is

360 × (1/9)

= 40.

To learn more about probability, click on below link:

https://brainly.com/question/29438215

#SPJ1

Answer:

7 cm ; 10 cm ; 14 cm

Step-by-step explanation:

x = y + 3

z = 2y

x + y + z = 31

y + 3 + y + 2y = 31

4y = 31 -3

4y = 28

4/4 y = 28/4

y = 7

z = 7(2) = 14

x = 7 + 3 = 10

Jeff bicycles 144 miles at the rate of r mph. The same trip would have taken 3 hours longer if he had decreased his speed by 4 mph. The value of r is 16.

What is speed ?

The speed at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it only has a direction and no magnitude, speed is a scalar quantity.

144/r= t

144/(r-4)-144/r = 3

LCM r(r-4)

144r-144(r-4)/r(r-4)=3

Simplify [tex]$\frac{144 r-144(r-4)}{r(r-4)}: \frac{576}{r(r-4)}$[/tex]

[tex]\frac{576}{r(r-4)}=3[/tex]

Multiply both sides by r(r-4)

[tex]\frac{576}{r(r-4)} r(r-4)=3 r(r-4)[/tex]

Simplify

576=3 r(r-4)

Solve [tex]$576=3 r(r-4): \quad r=16, r=-12$[/tex]

r=16, r=-12

To learn more about speed visit:https://brainly.com/question/28224010

#SPJ4

Answer:

A

Step-by-step explanation:

since the triangles are congruent then corresponding sides are congruent.

Δ PQR  congruent to Δ PNM

PR and PM are corresponding sides , then

PM = PR = b

The expression that shows how many sweatshirts were not adult sizes is  s - 19 .

Given :

the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes.

Expression :

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Expression = number of sold sweatshirts - number of adult sizes.

= s - 19.

This gives the number of sweatshirts that are not adult sizes

if s = 25

then not adult sizes sweatshirts = s - 19

= 25 - 19

= 6

Hence the expression is s - 19.

Learn more about the expression here:

https://brainly.com/question/14083225

#SPJ4

The function f(x) is 4x5 – 3x has exactly 5 roots according to the Fundamental Theorem of Algebra.

The correct answer is therefore d) 5 roots.

Complete question :

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?

f(x) = 4x5 – 3x

1 root

2 roots

4 roots

5 roots

To learn more about Fundamental Theorem refer :

https://brainly.com/question/14329577

#SPJ1

Answer:

u > -11/10

Step-by-step explanation:

For figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

What is the Basic Proportionality Theorem?

The Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.

Figure 2)

By using the Basic Proportionality Theorem, we can write

                        [tex]\frac{11}{22}=\frac{x}{42-x}\\\\\frac{1}{2}=\frac{x}{42-x}\\\\42-x=2x\\\\3x=42\\\\x=14[/tex]

Now for figure 3)

            By using Pythagoras' theorem, we can write

                        [tex]24^2+(x+7)^2=(2x-10)^2\\\\576+x^2+14x+49=4x^2-40x+100\\\\3x^2-54x+51=0\\\\x^2-18x+17=0\\\\x^2-17x-x+17=0\\\\(x-17)(x-1)=0\\\\x=17 $ or $ x=1[/tex]

Hence, for figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

To learn more about Basic Proportionality Theorem, visit:

brainly.com/question/17057648

#SPJ1

The swimming pool was on sale for $1206.2, which is 18.5% less than its initial $1429.35 cost.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Here,

Sale price after discount=$1206.2

Discount percent=18.5%

Original price=1206.2+18.5%*1206.2

=$1429.35

The original price of the swimming pool was $1429.35 as It was at sale price of $1206.2 with the discount of 18.5%.

To know more about percent,

https://brainly.com/question/14661262

#SPJ4

Rate at which 88 copies will get printed is 44 dollars

By using the unitary method to find the value of a single unit, we may use that value to calculate the values of the required number of units.

According to the given information :

Applying the unitary method

we get,

Rate at which 16 copies get printed = 8 dollars

Rate at which one copy gets printed = [tex]\frac{8}{16}[/tex]

Rate at which 88 copies get printed =  [tex]\frac{8}{16}[/tex]×88

                                                            = 44 dollars

Rate at which 88 copies will get printed is 44 dollars.

To know more about unitary method

https://brainly.com/question/22056199

#SPJ4