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3 years ago

Solve 1/2x - 12 = 12

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

Answer:

x = 28.

Step-by-step explanation:

1/2x - 12 = 12

Add 12 to both sides:

1/2x - 12 + 12 = 12 + 12

1/2x = 24

Now, to isolate x we multiply both sides by 2:

1.2 x * 2 = 24 * 2

x = 48.

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Jenny's auto wash earns revenues of $5 per customer. Write an equation that shows the relationship between the number of custome

Vesnalui [34]

D= 5c

c is the number of customers and for every customer, Jenny earns d dollars.

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3 years ago

Area of a triangle (picture provided)

nignag [31]

Answer:

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

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3 years ago

A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many

Zarrin [17]

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

$\rm a(\dfrac{\sqrt3}{2} \ a + 3h)$

<h3>What is a triangular prism?</h3>

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

$\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}$

The area of the rectangle will be

$\rm Area \ of \ rectangle = a \ h$

Then the total surface area will be

$\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)$

More about the triangular prism link is given below.

brainly.com/question/21308574

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2 years ago

A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi

Aloiza [94]

Answer:

Part A)

$P=\$8,500\\ r=0.052\\n=4$

Part B) $S(7)=\$12,203.47$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$S(t)=P(1+\frac{r}{n})^{nt}$

where

S is the Future Value

P is the Present Value

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part A)

in this problem we have

$P=\$8,500\\ r=5.2\%=5.2/100=0.052\\n=4$

Part B) How much money will Marcus have in the account in 7 years?

we have

$t=7\ years\\ P=\$8,500\\ r=0.052\\n=4$

substitute in the formula above

$S(7)=8,500(1+\frac{0.052}{4})^{4*7}$

$S(7)=8,500(1.013)^{28}$

$S(7)=\$12,203.47$

6 0

3 years ago

Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.

timofeeve [1]

13,000 • 3 = 1 hour = 39,000
Now we take the one hours worth 39,000 • 48 (hours in two days) = 1,872,000
Hope this helps!

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3 years ago