Mrs. Simpson is frosting circular sugar cookies. Each cookie is 7 cm in diameter. How many square inches will she need to frost one dozen cookies?

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

Answer:

[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]

Step-by-step explanation:

Let's create a proportion using this setup.

[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]

We know that 25 liters are used for 355 kilometers.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]

We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]

[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]

Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]25*x=42*355[/tex]

[tex]25x=14910[/tex]

Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.

[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]

[tex]x=596.4[/tex]

The car can travel 596.4 kilometers with 42 liters of fuel.

Answer:

wjdh

Step-by-step explanation:

wqd

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

[tex]60 + 55 + 105 + x = 360[/tex]

[tex]220 + x = 360[/tex]

[tex]x = 140[/tex]

Answer:

1.12

Step-by-step explanation:

1.6 1.12

Answer:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Step-by-step explanation:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Answer:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Step-by-step explanation:

Example: 6,8,20

6-1,2,3,6

8-1,2,4,8

20-1,2,4,5,20

GCF is 2

Answer:

X = 4

Step-by-step explanation:

17 -X = 1 +3X

NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER

so 17 -X = 1 +3X so it will be 3x + x = 4x

then 17 - 1 = 16

4 divide by 16 = 4

so X = 4

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

x = 20°

Step-by-step explanation:

You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)

Thus, 90° = 43° + 2x + 7°

2x = 90° - 43° - 7°

    = 40°

x = 40° ÷ 2

x = 20°

Answer:

X = 2

Step-by-step explanation:

As the lines are perpendicular...

90 = 43 + 2x + 7

Solve for x by making x the subject.

90 - 43 - 7 = 2x

40 = 2x

40/2 = x

20 = x

therefore, x = 2

Answer:

5

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

the box is 1000 cubic inches in volume, and 10×10×10 is 1000

The side lengths are each 10 inches tall

The box is 10 inches tall, wide, and long

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

Answer:

148692/12

Step-by-step explanation:

12391

Answer: B

Step-by-step explanation:

Answer:

5 containers

Step-by-step explanation:

Converting to a decimal can make questions like this easier to solve.

3 3/4 = 3.75

3/4= .75

3.75 cups divided by .75 cup containers results in 5 containers needed.

Answer:

x(x+2)(x+3)

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

Answer:

let no of pigs=x

ducks=y

x+y=10.....(1)

4x+2y=36

2x+y=18....(2)

by(1)..y=10-x

putting vvalue

2x+10-x=18

x=8

ducks=8

Answer:

one solution

x = 12

Step-by-step explanation:

3 (x-1) = 2x + 9

3x - 3 = 2x + 9

subtract 2x from each side of the equation:

x - 3 = 9

add 3 to each side:

x = 12

Step-by-step explanation:

3x-3=2x+9

3x-2x=9+3

x=12

only one solution

Given:

A figure of a kite.

To find:

The area of the given kite.

Solution:

The area of a kite is the half of the product of its diagonals.

[tex]A=\dfrac{d_1d_2}{2}[/tex]             ...(i)

Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.

From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.

[tex]d_1=12+8[/tex]

[tex]d_1=20[/tex]

Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.

Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]13^2=x^2+12^2[/tex]

[tex]169-144=x^2[/tex]

[tex]25=x^2[/tex]

[tex]5=x[/tex]

The length of second diagonal is:

[tex]d_2=2x[/tex]

[tex]d_2=2(5)[/tex]

[tex]d_2=10[/tex]

Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get

[tex]A=\dfrac{20\times 10}{2}[/tex]

[tex]A=\dfrac{200}{2}[/tex]

[tex]A=100[/tex]

Therefore, the area of the kite is 100 square units.

Answer:

28%

Step-by-step explanation:

you can divide 276 by 100 to get how much each individual percentage is worth so when you multiply that number by 28 you get 77.28

Answer:

Independent: Number of cups he sells

Dependent: Amount of money he makes

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.

Answer:

wef

Step-by-step explanation:

wef

Answer:

circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter

Step-by-step explanation:

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

I hope the images help!!

Answer:

Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of regular hexagon

[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]

Answer:

41.57

Step-by-step explanation:

took the test