If 2^2x = 2^3, what is the value of x?


A 2/3

B 3/2

C 2

D 3

Answer:

72

Step-by-step explanation:

Answer:  D. 72°

Step-by-step explanation:

Because a triangle equals 180 we take the given info in order to find x

[tex]85+23+x=180\\108+x=180[/tex]

[tex]108+x=180\\-108=-108\\x=72[/tex]

Answer:

Option B, [tex]2x^2 - 3x + 10[/tex]

Step-by-step explanation:

Step 1:  Distribute the values

[tex]2(x^2 + 5)-3(x+1) + 3[/tex]

[tex](2*x^2 + 2*5) - (3*x + 3*2) + 3[/tex]

[tex]2x^2 + 10 - 3x - 3 + 3[/tex]

Step 2:  Combine like terms

[tex]2x^2 + 10 - 3x - 3 + 3[/tex]

[tex]2x^2 - 3x + 10[/tex]

Answer: Option B, [tex]2x^2 - 3x + 10[/tex]

Answer:

The correct answer is B

Step-by-step explanation:

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Answer:

108 square yards

Step-by-step explanation:

l = 6 yd

w = 4 yd

h = 3 yd

Surface  area of rectangular prism = 2*(lw +wh + hl)

                                                            = 2*(6*4 + 4*3 + 3*6)

                                                            = 2* ( 24 + 12 + 18)

                                                            = 2 *54

                                                            = 108 square yards

Answer:

73 m

Step-by-step explanation:

The formula for the area of a rectangle is a = w(l). Using this, we can plug in the given values and solve for l, the length.

4526 = 62(l)

[tex]\frac{4526}{62} =\frac{62l}{62}[/tex]

l = 73

hope this helps!

Answer: 73 meters

Step-by-step explanation:

The simple formula to calculate the area of a regular rectangle is (Length x Width)

Given the area is 4526, and the width 62, we can use "y" to represent the unknown length.

So, '

62(y)=4526

Divide both sides by 62

1/2[62(y)]=4526/62

Y= 73 meters.

To check, 73x62= 4526, which follows the formula

[tex]\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2[/tex]

Answer:

0.5625

Step-by-step explanation:

The formula is (L x W)

L = 3/4

W = 3/4

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

4, 6, and 475

Step-by-step explanation:

See attached image.

Let the number of cats in a farm be [tex]x[/tex] and the number of rabbits be [tex]y[/tex]. The total number of cats and rabbits would be be [tex]x + y[/tex]. As the number of dogs in the farm are [tex]\frac{3}{5}^{th}[/tex] the total number of cats and rabbits, so:

Number of dogs in the farm = [tex]\frac{3}{5} (x + y)[/tex]

Answer:

The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.

Step-by-step explanation:

We can find the price per square inch of each pizza.

area = πr²

12" diameter pizza

area = π × (6 in.)² = 36π in.²

cost per in.²: $8.99/(36π in.²) = 0.079 $/in.²

14" diameter pizza

area = π × (7 in.)² = 49π in.²

cost per in.²: $10.99/(49π in.²) = 0.071 $/in.²

The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.

Answer:

$16.11

Step-by-step explanation:

10.74÷6

times the number you get by 3

add that number to 10.74

Answer:

Step-by-step explanation:

1) Simplify 1/3m to m/3.

m/3 - 1 - 1/2n

2) Simplify 1/2n to n/2.

m/3 - 1 - n/2

Answer: 4.4

To find the mad you have to first find the mean of the data set then you have to find the sum of the data values and divide the sum by the number of data values.

The median is the middle number in the data.

Sort them out in order.

30, 33, 35, 38, 41, 43, 43, 50, 64

The middle number is 41 so the median is 41.

Answer:

HJ = 6

Step-by-step explanation:

The sides are in the proportion :

Therefore,

Answer:

A total of 142 units of water bottles must be sold to recover the costs of renting costumes.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

n > 10 meaning, n is greater than 10

Step-by-step explanation:

Two times a number  :  2n

Less 4  :  -4

2n-4

Greater than the same number :  >n

Plus 6  :  +6

> n+6

2n-4 > n+6

To find n, we have to get n alone and equal to a single number. To do this, we first subtract 6 from both sides.

2n-10 > n

Then, subtract 2n from both sides

-10 > -n

Now, divide by -1

10 < n

So, n is greater than 10

y=5x-6

Hope it helps.

Do comment if you have any query.

Answer:

Each angle has a measure of 75 degrees

Step-by-step explanation:

First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.

Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:

2x + 90 + 120 = 360

We can then proceed to simplify this:

2x + 210 = 360

2x = 150

x = 75

So, the measure of x and y are 75.

Answer:

23

Step-by-step explanation:

the 1st number is x

because they are consecutive:

2nd number is (x+1)

now,

x+(x+1)= 23

2x=23–1

2x=22

x=22/2= 11

so two consecutive numbers are 11 & (11+1)=12

now 11+12=23

Answer:

11 and 12

Step-by-step explanation:

Let the integers be x and x + 1.

Sum of two consecutive integers is 23.

x + x + 1 = 23

2x + 1 = 23

2x = 23 - 1

2x = 22

x = 22 / 2

x = 11

x + 1

= 11 + 1

= 12

The numbers are 11 and 12.

Answer:

i think it would be 9

Step-by-step explanation:

Answer:

9cm

Step-by-step explanation:

the formula of the perimeter of a square is s+s+s+s which is simplified to s4

to solve this we go backwards

S4=36

divide both sides by 4

S=9

Answer:

A, 2 · 8 + 2 · 55 + 88

Step-by-step explanation:

If we find the area of the two triangles above and below, we know the area of one triangle is 8 because (formula for area of triangle: a = bh x 1/2, and   a = 8(2) x 1/2 which equals 8). So if we double this area, we would get 2 · 8.

If we were to find the area of both the rectangles that are left and right of this figure, we know the area of one rectangle would be 55 because (formula for area of rectangle: a = l x w, and a = 5(11) would equal 55). So if we'd doubled this, we would get 2 · 55.

If we were to find the area of the rectangle in front of this entire figure, we know the area would be 88 because (formula for area of rectangle:                a = l x w, and a = 11(8) which would equal 88).

So if we find the surface area of this figure, we'd just need to piece this together to form:-

2 · 8 + 2 · 55 + 88

Answer:

2 · 8 + 2 · 55 + 88

Step-by-step explanation:

I do it right in khan academy

The value of the x of the equation x² + 2x = 24 is negative 6 and 4, then the correct option is C.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression equation is given below.

x² + 2x = 24

x² + 2x – 24 = 0

On factorization, we have

       x² + 2x – 24 = 0

x² + 6x – 4x – 24 = 0

       (x – 4)(x + 6) = 0

                         x = –6, 4

The value of x is –6 and 4.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

The right choise is

b. 10(4)

Step-by-step explanation:

B) 10(4).

Answer: the answer is b 10(4)

Answer:

Step-by-step explanation:

[tex]\sf \text{Work done by Tim in 1 hour = $\dfrac{1}{6}$}\\\\\text{Work done by Bella in 1 hour = $\dfrac{1}{4}$}[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour =$\dfrac{1}{6}+\dfrac{1}{4}$}[/tex]

                                                                      [tex]=\dfrac{1*4}{6*4}+\dfrac{1*6}{4*6}\\\\=\dfrac{4}{24}+\dfrac{6}{24}\\\\=\dfrac{10}{24}\\\\= \dfrac{5}{12}[/tex]

[tex]\bf Time \ taken = \dfrac{12}{5}[/tex]

                     = 2.4 hours

                     [tex]= 2 \ hours \ 24 minutes[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour = \dfrac{1}{6}+\dfrac{1}{4}}[/tex]

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

The amount withheld is a credit against the income taxes the employee must pay during the year.

The amount withheld from his paycheck for income tax in all is given by;

Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)

Where:

State income tax=$154.00

Percentage of federal income tax=23%

Substitute all the values in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Learn more about income tax here:

brainly.com/question/25641320

Answer:

2 and 3/4 cups

Step-by-step explanation:

because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups

The taxable income for this year will be $37,735. Then the correct option is D.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

This year, you owed $6,414.95 in federal income tax.

If you are taxed at a net rate of 17%.

Then the taxable income for this year will be given by

[tex]\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

37,735

Step-by-step explanation:

Answer:

C: cos C

Step-by-step explanation:

Hope it helps you in your learning process.

sin A = BC/AC = 15/17 .....(1)

cos C = BC/AC = 15/17 .....(2)

From (1) & (2)

sin A = cos C

Answer:

It´s C

Step-by-step explanation:

Cos C

The statements that must be true according to the data presented by the considered histogram are:

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

The missing image of the considered histogram is attached below.

Checking all the options:

It is wrong. The data is numeric, and therefore, not describing qualities, so its not a qualitative data.

The histogram has long tail on the right side, so its right skewed. Thus, this option is correct.

Age group     Frequency (number of people of that age group in party)

0-20                   5

21-40                 13

41-60                  8

61-80                  3

81-100                2

total              5+13+8+3+2 =31

So yes, there were total 31 people at the party as a person can be at max in one age group, so no repeated counting.

From 0 to 20 age group, there were 5 people. But it isn't known if they were < 18 or ≥ 18 (this is the side effect of grouped data, the loss of some information). So this option is not necessarily correct.

It is false. The most common age was from the group 21-40 years old. And 13 is < 20, so it doesn't lie in this group.

Option 6: the majority of the people at the party were less than 61 years old.

Total number of people < 61 = 5+13+8 = 26

26 is more than half of 31 people. So yes, this option is correct.

Thus, the statements that must be true according to the data presented by the considered histogram are:

Learn more about skewed distribution here;

https://brainly.com/question/13111221