18.
[Algebra - Expansion]
Expand 3(x + 2)

Answer:

$2.17

Step-by-step explanation:

12 goes into 26 2 times.

with 2 left over

2/12 = 1/6

1/6 of a dollar is

divide 100/6 = 16.67

Answer:

[tex]y=4x+1[/tex]

Step-by-step explanation:

The line is shown in the attachment.

The slope of this line is given by: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through (0,1) and (1,5)

Plug in the points to get:

[tex]m=\frac{5-1}{1-0}=4[/tex]

The equation of this line is given by [tex]y=mx +b[/tex], where b=1 is the y-intercept.

From the graph the y-intercept is 1, because the line intersects the y-axis at (0,1).

Therefore the equation is [tex]y=4x+1[/tex]

Answer:

6 5/40 + 4 16/40

10. 21/40

Change the denominator into the LCD and change the numerator.

keep the denominator the same and add the numerator

add the whole numbers

Note: As you may have unintentionally missed to add the diagram. After a little research, I was able to find the diagram. I have attached the diagram, based on which I am solving which anyways would clear your concepts.

Answer:

The area of the storage facility is [tex]20x^2-4x-16\:\:square\:feet[/tex].

Step-by-step explanation:

From the attached diagram, it is clear that

The area of the storage facility in square feet can be calculated by finding the area of rectangle.

So, using the area of rectangle formula

                [tex]A = lw[/tex]

                    [tex]=\:\left(5x+4\right)\left(4x-4\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]a=5x,\:b=4,\:c=4x,\:d=-4[/tex]

                        [tex]=5x\cdot \:4x+5x\left(-4\right)+4\cdot \:4x+4\left(-4\right)[/tex]

                        [tex]=5\cdot \:4xx-5\cdot \:4x+4\cdot \:4x-4\cdot \:4[/tex]

                        [tex]=20x^2-4x-16[/tex]  

Therefore, the area of the storage facility is [tex]20x^2-4x-16\:\:square\:feet[/tex].

Keywords: rectangle, area

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To find the area of the storage facility, calculate the area of each shape and add them together. The correct expression is 36x^2+24x.

To find the area of the storage facility, we need to find the area of each individual shape and add them together. Looking at the diagram, we can see that the storage facility is composed of two rectangles and one square. Let's calculate the area of each shape:

Area of first rectangle = length x width = 4x(4x+4) = 16x^2+16x

Area of second rectangle = length x width = 4x(4x+2) = 16x^2+8x

Area of square = side x side = (2x)^2 = 4x^2

To find the total area, we add the areas of the three shapes:

Total area = (16x^2+16x) + (16x^2+8x) + 4x^2 = 36x^2+24x

Therefore, the correct expression that represents the area of the storage facility is 36x^2+24x, which is option B.

Answer:

(6,4)

Step-by-step explanation:

Multiply 3 by the two equations and add it up but the x's.

Add the y variables and subtract the others

Divide 3y and 12 which gives you 4

Plug in 4y into any equation

Add 24 and leave the 6x which is your answer

Answer:

[tex]$ \textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}} $ $[/tex]

Step-by-step explanation:

We are asked to find the probability of picking a Sophomore who is a boy.

There are 5 Sophomores who are boys out of total boys.

[tex]$ \textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}} $[/tex]

[tex]$ \implies P(Sophomore | Boy) = \frac{P(Sophomore \& Boy)}{P(Boys)} $[/tex]

[tex]$ = \frac{5}{12} $[/tex]

Hence, the answer.

Answer:

The answer is 5 over 12

Step-by-step explanation:

5/12 Fill in 5 then 12

Answer:

B

Step-by-step explanation:

y × y = [tex]y^{2}[/tex]

y × -3 = -3y

[tex]y^{2} -3y[/tex]

Answer:

B. y^2 - 3y

Step-by-step explanation:

y (y - 3)

yxy - yx3

y^2 - 3y

Answer:

42 times.

Step-by-step explanation:

The number of total alphabet = 26 tiles

The number of vowels = 5

The number of consonant = 26 - 5 = 21

Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.

The probability to select consonant at first time = 21/26

Total tiles after the first selection = 26 - 1 = 25

The probability to select vowels at second time = 5/25

The probability to select consonant and vowels = [tex]\frac{21}{26} *\frac{5}{25} =\frac{21}{130}[/tex]

Sofia will draw two tiles from the bag 260 times.

The prediction for the number of times Sofia will select a consonant tile and a vowel tile = [tex]\frac{21}{130} *260=42 \ times[/tex]

First, distinguish the mathematical elements in the expression 12r²4. Multiply the numbers 12 and 4 to give 48, then substitute this value back in to obtain the simplified expression, 48r². The property of multiplication allows this reordering and regrouping without affecting the result.

To simplify the given expression, 12r²4, the first step involves distinguishing the mathematical elements present. In this case, we have multiplication of numbers and a variable. Technically, the expression is equivalent to 12*r^2*4, since there is multiplication between each element.

We proceed with multiplication, starting with the numerical value. In this case, multiply 12 and 4 to get 48. Substitute this resulting value into the expression, yielding 48r². The justification for this operation is the property of multiplication, which is associative and commutative. It allows us to change the order of the numbers being multiplied or group them differently without changing the result.

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Answer: answer is 5

Step-by-step explanation:see attachment

Answer:

D

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

10

11

12

13

14

15

prime numbers:11,13,15

Answer:

Step-by-step explanation:

15,14,13,12,11,10

Answer:

3 5/12 cups

Step-by-step explanation:

6 2/3 - 3 l/4= 80/3 - 39/4=41/12=3 5/12

The over all percent increase in Bill's stock over the two days is 4%

Step-by-step explanation:

The given is:

We need to find what was the overall percent increase in Bill's stock over the two days

Assume that Bill buys the stock by $x

∵ Bill buys the stock by $x

∵ The stock decreases by 20% on the first day

- Find the 20% of x

∵ 20% × x = [tex]\frac{20}{100}[/tex] × x = 0.2 x

∴ The cost at the end of the 1st day = x - 0.2 x = 0.8 x

∵ The stock increases by 30% of its value at the end of the 1st day

- Find the 30% of 0.8 x

∵ 30% × 0.8 x = [tex]\frac{30}{100}[/tex] × 0.8 x = 0.3 × 0.8 x = 0.24 x

∴ The cost at the end of the 2nd day = 0.8 x + 0.24 x = 1.04 x

To find the percentage of increased find the increasing amount and divide it by the original cost, then multiply the quotient by 100%

∵ The increasing amount = 1.04 x - x = 0.04 x

∵ The percentage of increase = [tex]\frac{0.04x}{x}[/tex] × 100%

∴ The percentage of increase = 0.04 × 100% = 4%

The over all percent increase in Bill's stock over the two days is 4%

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Answer:

-8 + 3.2z

Step-by-step explanation:

-8 + 6.45z - 3.25z

collect like terms

-8 + 3.2z

Therefore,the expression −2+6.45z−6+(−3.25z) reduces to −8+3.2z

To simplify the expression −2+6.45z−6+(−3.25z) , combine like terms by performing addition and subtraction:

Given expression:−2+6.45z−6+(−3.25z)

Group the like terms together:

(−2−6)+(6.45z−3.25z)

Combine the constants:

−8+(6.45z−3.25z)

Combine the z terms:

−8+3.2z

Therefore, after simplification, the expression −2+6.45z−6+(−3.25z) reduces to −8+3.2z

Answer:

See attachment

Step-by-step explanation:

The given system is :

[tex]y = - x + 5[/tex]

[tex]y = \frac{1}{4}x + 10[/tex]

Let us equate both equations and solve for x.

[tex] - x + 5 = \frac{1}{4}x + 10[/tex]

[tex] - 4x + 20 = x + 40[/tex]

[tex]20 - 40 =x + 4x[/tex]

[tex] - 20 = 5x[/tex]

[tex]x = - 4[/tex]

[tex]y = - - 4 + 5 = 9[/tex]

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

Answer:

d = 10

Step-by-step explanation:

3/4(6 + d) = 12

(18 + 3d)/4 = 12

18 + 3d = 48

3d = 48 - 18

3d = 30

d = 30 : 3

d = 10

multiple both sides by 4/3

move the constant to the right

subtract the numbers

Answer:

0.34

Step-by-step explanation:

34%= 34/100

34/100= 0.34

Answer:  .34

Step-by-step explanation:  34% is equal to 34/100, If you turn that into a decimal its 0.34.

Answer:

x=6

Step-by-step explanation:

Equation: 3x+6=24

3x=18

x=6

6 miles.

Answer:

6 miles

Step-by-step explanation:

6 + 3x = 24

3x = 18

x = 6

Yo sup??

(-5)²=(-5)(-5)

=5*5*(-1)*(-1)

=25*1

=25

Hope this helps.

The required simplified value of the given number (-5)² would be 25.

A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.

When an expression can be seen as the difference of two perfect squares, i.e. a² -b², we can factor it as (a+b) (a-b).

The number is given in the question,

(-5)²

We have to determine the simplified value of the given number (-5)².

⇒ (-5)²

⇒ (-5)(-5)

⇒  5 × 5 × (-1) × (-1)

⇒ 25 × 1

⇒ 25

Thus, the required simplified value of the given number (-5)² would be 25.

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Answer: 17/24

Step-by-step explanation: To write the fraction 34/48 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 34 and 48.

Since the factors of 34 are 1, 2, 17, 34 and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48, the greatest common factor of 34 and 48 is 2.

So we divide the numerator and the denominator of 34/48 by 2.

34 divided by 2 is 17 and 48 divided by 2 is 24.

So 34/48 written in lowest terms is 17/24.

The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value

In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows.

What is a Number chart and Hundred chart?

Hundred Chart : A hundreds chart is highly useful for children who are learning to count to 100 and strengthening their numerical fluency. With a hundreds chart, numbers read from left to right in rows of 10, starting from the top left corner with the number 1, all the way down to 100 in the bottom right corner

Number Chart : A table listing numbers in numerical order is known as a numbers chart. The numbers in this arrangement will be 1 through 10 in the first line, 11 through 20 in the second line, 21 through 30 in the third line, and so on. There are various types of specific number charts, such as charts for the hundreds that include the digits 1 through 100.

Given data ,

In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows. The layout allows children to count left to right by ones, and down by tens.

And ,

The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value

Types of Number Chart

Even Numbers Chart. An even numbers chart represents all the numbers that are divisible by 2.

Odd Numbers Chart. An odd numbers chart represents all the numbers that are NOT divisible by 2

Prime Numbers Chart

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The solution to the inequality is 1 < x ≤ 8.

The given inequality can be split into two components:

The difference of 2x and 5 is greater than -3: This can be written as:

2x - 5 > -3

To solve for x, we first add 5 to both sides of the inequality:

2x > 2

Then, we divide both sides by 2:

x > 1

This indicates that the values of x which satisfy this part of the inequality are greater than 1.

The difference of 2x and 5 is less than or equal to 11: This can be written as:

2x - 5 ≤ 11

Adding 5 to both sides:

2x ≤ 16

Dividing both sides by 2:

x ≤ 8

Therefore, the common range that satisfies both parts is 1 < x ≤ 8.

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Answer:

Acceleration = -1.25 m/s²

Step-by-step explanation:

Given data:

initial velocity = 5 m/s

Final velocity = 0 m/s since the car stopped

change in time = 4 seconds

Acceleration = change in velocity/change in time

Acceleration = (Final velocity - Initial velocity)/time

Acceleration = (0-5)/4

Acceleration = -5/4

Acceleration = -1.25 m/s²

The acceleration in negative since the car was reducing speed to stop, it can also called deceleration.

It travels 10 m and then stops.

It refers to the study of motion.

Given

Initial speed (u) = 5m/s

Time (t) = 4 sec

We know the equation of motion

[tex]\rm v = u + at\\v^{2}- u^{2} = 2as[/tex]

As final velocity (v) = 0

Then

[tex]v = u +at \\\\0 = 5 + 4a\\\\a= \dfrac{5}{4}[/tex]

then

[tex]\begin{aligned} \rm v^{2}- u^{2} &= 2as \\0^{2} - 5^{2} &= 2*\dfrac{5}{4} *s\\25 &= \dfrac{5}{2}*s \\s &= 10 m\\\end{aligned}[/tex]

Thus, it travels 10 m and then stops.

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Answer:

Option A, %29.2

Step-by-step explanation:

Step 1:  Find the total fixed expenses

150 + 30

180

Step 2:  Find the percentage

180 / 617

0.2917... * 100

%29.17

%29.2

Answer:  Option A, %29.2

Answer:

29.2%

Step-by-step explanation:

The fixed expenses are rent and the emergency fund

150+30 =180

The total income is 617

The percent is fixed expenses/income

180/617

.291734198

Multiply by 100% to change from decimal from to percent

29.1734198%

Rounding to the nearest tenth

29.2%

Answer:

Step-by-step explanation:

The value of can be get in two way.

For the column G, the total value is given by 58%.

In the row of F and column of G, the value is 31%.

Hence, the value of y is (58 - 31) = 27%.

Again, In the row of E, the total value is given by 51%.

The E-th row and H-th column shows the value 24%.

Hence, the value of y is (51 - 24) = 27%.

Answer:

b on edge 2021

Step-by-step explanation:

Answer:625

Step-by-step explanation:21/(3+4)x9-2=25 and 25^2 (squared) is 625