Given f(x) = 3x + 4, what is f(8)? help me please A.
4

B.
8

C.
15

D.
28

Answers

Answer 1

Answer: Hello,

Answer D

f(8)=3*8+4=24+4=28

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A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?

Answers

The formula for the perimeter of a rectangle is:
A=2l+2w.
We know the area is 116, so we can plug that in for A. Now, we cant solve the equation yet because it still has two variables. Since we know the length is 5 feet greater than the width, we can rewrite l in terms of w. So here is what our new equation will look like:
116=2(w+5)+2w
Now lets solve:
116=2w+10+2w
106=4w
w=26.5 ft.
The width is 26.5 ft.

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answers

Answer:

153.1 square unit

Step-by-step explanation:

for rectangle

length = 16

breadth = 8

area of rectangle = l*b

=16*8

=128 square unit

semicircle

diameter =8

area of semicircle =πd^2/8

=3.14 * 8^2 /8

=3.14 *64/8

=200.96/8

=25.12 square unit

area of the givem figure = area of rectangle + area of semicircle

=128 + 25.12

=153.12

=153.1 square unit

Final answer:

To find the area of the figure made up of a rectangle and a semicircle, calculate the areas of both shapes and add them together. Use the formula for the area of a rectangle, and calculate the area of the semicircle by finding half the area of a full circle with the same radius. Finally, sum up the areas to find the total area of the figure.

Explanation:

To find the area of the figure, we need to find the areas of the rectangle and the semicircle, and then add them together. The area of the rectangle is found by multiplying its length by its width. The area of the semicircle is half the area of a full circle with the same radius. Finally, we add the two areas together to get the total area of the figure.

Let's assume the length of the rectangle is 10 units and the width is 5 units. The area of the rectangle is then 10 units * 5 units = 50 units^2. If the radius of the semicircle is 3 units, the area of the semicircle is half the area of a full circle with radius 3 units, which is 1/2 * 3.14 * 3^2 = 14.13 units^2 (rounded to the nearest tenths place).

Therefore, the total area of the figure is 50 units^2 + 14.13 units^2 = 64.13 units^2 (rounded to the nearest tenths place).

Learn more about Area of composite figures here:

brainly.com/question/16011845

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Liam bought 34
of a pound of strawberries. He used the strawberries to make 6 smoothies. If each smoothie had the same amount of strawberries, how many pounds of strawberries did Liam use to make 1 smoothie?

One-fourth pound
One-eighth pound
One-sixth pound
StartFraction 1 Over 12 EndFraction pound

Answers

Answer:

Step-by-step explanation:

Quantity of strawberry = $(3)/(4)$ of a pound

Number of smoothies = 6

To find the pounds of strawberries used to make 1 smoothie, divide the total quantity of strawberry by number of smoothies.

Pounds of strawberries used to make 1 smoothie = $(3)/(4)$ ÷ 6

Use Keep Change Flip method

$= (3)/(4)*(1)/(6)\n\n=(1)/(4)*(1)/(2)\n\n= (1)/(8)$

= one-eighth of a pound

Answer:

Step-by-step explanation:

3/4 ÷ 6

Keep the numerator exactly the same (3) and multiple the denominator by the whole number:

3/4 x 6 = 3/24

(3/24) can be simplified down to a smaller fraction:

1/8

Solve the system of equations2x+6y=-6, 4x-3y=-12
what is the solution to the system of equations

Answers

2x + 6y = -6 ...(1)

4x - 3y = -12 ...(2)

We can use the method of substitution or elimination to find the solution. I will use the method of substitution.

From equation (1), we can solve for x in terms of y:

2x = -6 - 6y

x = (-6 - 6y)/2

x = -3 - 3y

Now, substitute this value of x into equation (2):

4(-3 - 3y) - 3y = -12

-12 - 12y - 3y = -12

-15y = 0

y = 0

Substitute this value of y back into equation (1) to find x:

2x + 6(0) = -6

2x = -6

x = -3

Therefore, the solution to the system of equations is x = -3 and y = 0.

hope this helps

Answer:

x = -3, y = 0

Step-by-step explanation:

2x+6y=-6 equation1

4x-3y=-12 equation2

multiply equation2 by 2

2[ 4x-3y=-12]

8x - 6y = -24 equation3

add equations 1 & 3

2x+6y=-6

8x - 6y = -24

--------------------

10x = -30

x = -3

substitute x = -3 to any of the equations

I will use equation1

2x+6y=-6

2(-3) + 6y = -6

-6 + 6y = -6

6y = 0

y = 0

X^2+2x in factored form

Answers

in factor form, take x as a common factor
x(x+2)

Suppose the Cote family truly enjoys digestive biscuits.Late one night, Papa Cote ate one-sixth of the family's digestives.
Early the next morning, Mama Cote ate one-fifth of the remaining biscuits.
Shortly thereafter, Brother Cote consumed one-quarter of the delicious snacks left.
At lunchtime, Sister Cote devoured one-third of the remaining tasty treats.
Finally, Baby Cote ate one-half of the remaining digestive biscuits.

How many delightful digestive biscuits were at first?

I can't quite figure out how to solve this... I would imagine that there should be an end amount or some value from in between... I just don't know. Please help?