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STALIN [3.7K]
3 years ago
7

WILL GIVE BRAINLEIST DUE AT 9:45 P.M. PLS HURRY SUPER EASY.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

c = 2

Step-by-step explanation:

Since 16 is over the variable c, first multiply both sides by c so the variable is not in the denominator of the fraction.

16/c(c) = 8(c)

16 = 8c           Next, divide both sides by 8 to solve for c.

c = 2

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
Each line represents a proportional relationship. Write an equation for each line. Show your work.
Semenov [28]

Answer:

The answer is in the picture. I hope it is helpful.

6 0
3 years ago
Read 2 more answers
Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.
zavuch27 [327]
f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\
f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\
f(1)>0\\
f(2)
It does.
3 0
3 years ago
At 12 noon, leslie recorded the temperature as 56 degrees f. The temperature had increased by 8 degrees f from 10am. The tempera
Marat540 [252]
Let the temperature at 10am be x, then
x + 8 = 56
x = 56 - 8 = 48 degrees F

Let y be the temperature at 8am, then
y - 2 = 48
y = 48 + 2 = 50 degrees.
4 0
3 years ago
Read 2 more answers
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
klemol [59]

Answer:

The recoil velocity of the gun is 0.72\,\,\frac{km}{h}  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}

6 0
3 years ago
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