How long does it take $450 to double at a simple interest rate of 100%

What is the fraction and the percent of the shaded part in each square?

elena-14-01-66 [18.8K]

Answer:

Part a) The fraction is $\frac{5}{9}$

Part b) The percent is $55\frac{5}{9}\%$

Step-by-step explanation:

Part a)

Find the fraction

we know that

To find the fraction of the shaded part in the square divide the number of shaded squares by the total number of squares

so

Let

x-------> the number of shaded squares

y-------> the total number of squares

f-------> the fraction of the shaded part

so

$f=\frac{x}{y}$

In this problem we have

$x=20\ shaded\ squares$

$y=36\ total\ squares$

substitutes

$f=\frac{20}{36}$

Simplify

$\frac{20}{36}=\frac{5}{9}$

Part b) Find the percent

To find the percent multiply the fraction by 100

so

$\frac{5}{9}*100=\frac{500}{9}\%$

convert to mixed number

$\frac{500}{9}=\frac{495}{9}+\frac{5}{9}=55\frac{5}{9}\%$

7 0

3 years ago

Read 2 more answers

If a certain number is increased by 5, one - half of the result is three - fifths of the excess of 61 over the number. Find the

Mariulka [41]

Answer:

fdvrjvbvjdvbjvnvxjvnfvrdcdjdcbf

Step-by-step explanation:

eejkncj jcewecwcwjcjk fewhb

6 0

3 years ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Find the area of a circle with a diameter of 10 feet

poizon [28]

Answer:

31.43ft

Step-by-step explanation:

πd=22/7×10ft

=31.43ft

4 0

3 years ago

Read 2 more answers

Consider the following estimated regression equation based on 10 observations y 29.1270 5906x, 4980x2 011

cestrela7 [59]

Answer:

no tiene mas informaion?

Step-by-step explanation:

7 0

3 years ago