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3 years ago

Find the difference. Write in simplest form.7/8-2/8=

1 answer:

7 0

Simple, all you want to do is subtract. 7-2=5; and denominators are not subtracted thus it would be 5/8. And that is the simplest form already 5/8.

You might be interested in

What is 10.04 rounded to nearest tenth?

ivolga24 [154]

The next larger tenth is 10.1 .
The next smaller tenth is 10.0 .

10.04 is nearer to 10.0 than it is to 10.1 .

So the nearest tenth is 10.0 .

5 0

3 years ago

A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p

Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

$$ Plan A = $$ Plan B

To find the charge on each plan we add the base rate to the per minute call rate for each.

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

2700 + 11x = 1300 + 15x

Subtracting 11x and 1300 from both sides:

4x = 1400

x = 350 min.

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

boom :)

5 0

3 years ago

△BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.

zheka24 [161]

here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.

19² = 13² + X²
X - length of the third side

361 = 169 + X²
X² = 361 - 169

X² = 192

X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm

3 0

3 years ago

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

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

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

Sugar was traditionally produced and sold as sugarloaves, which are cones of sugar wrapped in paper. Find the total surface area

Zolol [24]

Answer:

A = 326,73 cm²

Step-by-step explanation:

The area of a circular cone is area of the base (A₁ ) plus area lateral ( area of a circular sector of radius the slant height )

Then we proceed to calculate the area of the base A₁

diameter of circular base is 8 cm then the radius is 4 cm and the area is:

A₁ = π*r² = 3,14* (4)²

A₁ = 3,1416*16 = 50,2656 cm²

Now Lateral area of the cone (A₂) is equal to the area of a circular sector with radius the slant height. We will calculate it, taken into account that this circular sector is part of a circle of radius the slant height.

Between the area of circular sector with radius the slant height and the area of the circle with the same radius there is a linear relation. That is we can calculate area of a circular sector by rule of three as follows:

The length of the circular sector is the length of the circle of the base of the cone, that is:

L = 2*π*(4)

L = 2*3,1416*4

L = 25,1328 cm

Then we have a circular sector of length 25,1328 cm

The area of the circle of radius 22 cm is:

A(c) = π*(22)² ⇒ A(c) = 1520,5344 cm²

And the length of this circle is:

L(c) = 2*π*(22) ⇒ 138,2304 cm

Then we apply a rule of three

For a length of 138,2304 cm ⇒⇒⇒ (area) 1520,5344 cm²

Then for a length of 25,1328 cm ⇒⇒⇒(area) A₂ (??)

Therefore:

A₂ = (25,1328)*1520,5344)/ 138,2304

A₂ = 276,4608 cm²

Then total area of the cone is:

A = A₁ + A₂

A = 50,2656 +276,4608

A = 326,7264 cm²

Round answer A = 326,73 cm²

8 0

3 years ago

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