What is the total area, in square units, of the
figure shown below?

a. 6
b. 12
c. 24
d. 30

Answer:

4,2

Step-by-step explanation:

did the test

The solution of the system of equation is (4, 2) which is correct option(A).

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given the two systems of equations,

-3x + 5y = -2

3x + 7y = 26

Adding the both equations

-3x + 5y + 3x + 7y = -2+26

12y = 24

y = 2

Substitute the value of y in any one of the equations,

3x + 7 y = 26

3x + 7(2) = 26

3x = 26-14

3x = 12

x = 4

Hence, the solution of the system of equation is (4, 2).

Learn more about equation here:

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Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.

Answer: $4107.74

Step-by-step explanation:

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Answer:

≈ 70.4 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , thus

C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )

Answer:

The circle's area is pi

Step-by-step explanation:

A=πr2=π·12≈3.14159...

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

Answer:

I'm not sure if you need help but...

Step-by-step explanation:

6+6=12

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])

Answer:

5324

Step-by-step explanation:

volume of cylinder=πr^2l=22/7×11^2×14=5324

Answer:

1.44

Step-by-step explanation:

No. of warp coils manufactured in one group = 36

defect rate = 4%

That is 4 out of every 100 warp coil is defective

No. of defective warp coil in one group = 4% of warp coil in one group

                                                             = 4% of 36 =4/100 *36

                                                             = 1.44

Thus, there are 1.44 defective coil in each group.

Since, mean number is average number of defect.

So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Answer:

20

Step-by-step explanation:

Answer:

The constant of proportionality is 9.

Step-by-step explanation:

k=y/x     This is the formula.

k=45/5   Plug in the x and y coordinates of a point on the line (5,45).

k=9         Here's your answer!

Answer:

idk

Step-by-step explanation:

idk

Answer:

that is to hard

Step-by-step explanation:

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

Answer:

1248 cubic feet

Whats the rest?

I need an answer

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Answer: it’s c

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

Answer:

roy

Step-by-step explanation:

the y coordinate has the negative number like the community center's y.

Answer:

The answer is Lee :)

Step-by-step explanation:

both of the numbers are negatives so they both belong in 3rd quadrant

Answer:

Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%

Answer:

Linear would be fine as it doesn't decrease to under zero

and a curve graph would represent this data fine at 10818 turning point.

Step-by-step explanation:

Answer:

24 square blocks

Step-by-step explanation: