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3 years ago

12

Every 3 days, Marco fills up his car with gas. Every 8 days, he washes his car. On what day will Marco fill his car with gas and

wash it?

2 answers:

postnew [5]3 years ago

5 0

24 is the answer kid

yan [13]3 years ago

3 0

Well let's see
Gas-3,6,9,12,15,18,21,24,27
Wash-8,16,24,
So on the 24th day.

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

7 0

3 years ago

Write a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

hichkok12 [17]

Float rate_of_pay a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is float rate_of_pay?

In contrast to fixed (or unchangeable) interest rates, floating interest rates change on a regular basis. Companies that offer credit cards and mortgages frequently use floating rates.
Floating rates follow the market, a benchmark interest rate, an index, or both.

Is a fixed or floating rate preferable?

In a rising rate environment, banks offer fixed rate loans at a higher rate than variable rate loans in order to profit more from the latter when rates rise.
Fixed rate loans may have interest rates that are 300–350 basis points higher than floating rate loans.

float rate_of_pay

rate_of_pay = 11.50, 12.75;

Learn more about Float rate_of_pay

brainly.com/question/14128610

#SPJ4

7 0

2 years ago

The first triangle is dilated to form the second triangle.

KATRIN_1 [288]

Hello, the correct answers are

truth for 0.25

false for 4

I just took quiz

8 0

4 years ago

In Psychology 101, the ratio of the number of girls to the number of boys is 3:1. After one girl drops the class and three more

aleksley [76]

Alright, lets get started.

Suppose the initial number of girls = x

Suppose the initial number of boys = y

The ratio of the number of girls to the number of boys is 3:1 (given in question)

x/y = 3/1

Cross multiply

x = 3 y ...............................equation (1)

one girl drops the class and three more boys sign up means new number of gilrs = x - 1

New number of boys = y + 3

the ratio of the number of girls to the number of boys becomes 5:2

(x-1) / (y+3) = 5/2

Cross multiplying

2 (x-1) = 5 (y+3)

2 x - 2 = 5 y + 15

Adding 2 in both sides

2 x - 2 + 2 = 5 y + 15 + 2

2 x = 5 y + 17 ..........................equation (2)

Putting value of x from equation 1 in equation 2

2 (3 y) = 5 y + 17

6 y = 5 y + 17

Subtracting 5 y in both sides

6 y - 5 y = 5 y + 17 - 5 y

y = 17

Putting the value of y in equation 1

x = 3 * 17 = 51

x = 51

After the changes, 1 girl drops : 51 - 1 = 50 new numbers of girls

After the changes, 3 more boys sign up : 17 + 3 = 20 new number of boys

So, total students in the class after changes : 50 + 20 = 70 students : Answer

Hope it will help :)

6 0

3 years ago

Please answer step by step:<br><br><br><br> -4=2x+16<br><br> What does x equal?<br><br> x=____?

Fed [463]

Answer:

Step-by-step explanation:

-4=2x+16

-16. -16

-20=2x

20/2=2x/2

10=x

5 0

3 years ago