Kaylee mixes 3/4 gal and 1/6 gal of paint. She uses 3/4 of the paint. How much paint does she use in all?

The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits

Crazy boy [7]

Answer: The numbers are:

965

875

785

695

Step-by-step explanation:

We have a 3 digit number that can be written as:

a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds

b is the tens

c is the unit.

We know that:

"The sum of the tens digit and the hundreds digit of a number is three times the units digit."

a + b = 3*c

" 1/5 of the sum of all three digits is 1 less than the units digit."

(a + b + c)/5 = c - 1

Then we have the two conditions:

a + b = 3*c

(a + b + c)/5 = c - 1

From the first one, we can write:

(a + b)/3 = c

Replacing that in the other equation we get:

(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1

(4/3)*(a + b)/5 = (a/3 + b/3) - 1

(4/15)*(a + b) = (a + b)/3 - 1

(4/15)*(a + b) - (a + b)/3 = - 1

-(1/15)*(a + b) = -1

a = 15 - b

Then we can give different values for b, and find the values of a and c, where a and c must be positive.

b = 9

a = 15 - 9 = 6

Then:

c = (9 + 6)/3 = 5

(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).

This number will be:

695.

if b = 8, then:

a = 15 - 8 = 7

and c = 5, same as before.

the number is 785.

If b = 7, then:

a = 15 - 7 = 8

The number is 875

if b = 6, then:

a = 15 - 6 = 9

The number is:

965

4 0

2 years ago

a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear speed, in feet per

Yuri [45]

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

$(10)113.04=1,130.4\ ft$

therefore

The linear speed is $1,130.4\frac{ft}{min}$

3 0

2 years ago

Pls help, I don’t understand how to do this

MAVERICK [17]

Answer:

5 parts are shaded and 4 parts are white so:

There are 9 parts all together.

We can then form ratio's of the white areas and the shaded areas:

White Area Ratio =

$\frac{4}{9}$

Shaded Area Ratio =

$\frac{5}{9}$

Let the area of sqaure be equated to x, which means let the entire area of the square equal to x:

x = Area of whole square

Now we can form an equation :

$\frac{5}{9} x = 165$

So now we just need to solve for x:

$x = \frac{165}{ \frac{5}{9} }$

$x = 297$

The area of the square is:

$297 {cm}^{2}$

4 0

3 years ago

Read 2 more answers

15 cm 15 cm 16 cm 20 cm 57 cm What is the perimeter of the polygon?

Natasha2012 [34]

Answer:

C.

Step-by-step explanation:

15 x 16=240 x 2= 480

57 x 20= 1140

1140 + 480 = 1620

6 0

2 years ago

Find the measure of the indicated angle. Please can you help? I need to show work.

777dan777 [17]

Answer:

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + ∠RPQ = 180°

70° + 46 + ∠RPQ = 180°

116° + ∠RPQ = 180°

Find ∠RPQ

∠RPQ = 180° - 116° = 64°

4 0

3 years ago