261.24 = 15w - 23.75

Answer:

Step-by-step explanation:

Givens

Let the first number = x

Let the second number = 2x

Let the third number = x + 100

Total = 468

==============

Solution

x + 2x + x + 100 = 468                    Combine the xs

4x + 100 = 468                                Subtract 100 from  both sides

4x = 468 - 100

4x = 368                                          Divide by 4

x = 368/4

x = 92

===============

Answer

First number =                     92

Second num = 2 * 92=       184

Third number = 92 + 100= 192

Total                                    468

Answer:

136

Step-by-step explanation:

Answer:

The answer is H.

Step-by-step explanation:

There is no "b" in this y = mx + b, so it has to go through zero, eliminating the bottom two. If we insert y = 2(1), the point should be at (1, 2), and if when looking at the possible answers, we can go with letter H.

Answer:

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Step-by-step explanation:

From Geometry we know that volume of cylinder ([tex]V[/tex]), measured in cubic inches, is expressed by:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in inches.

[tex]h[/tex] - Height, measured in inches.

Given that volume remains constant, the expression for the rate of change of the height ([tex]\dot h[/tex]), measured in inches per minute, is:

[tex]2\pi\cdot r \cdot h \cdot \dot r + \pi \cdot r^{2}\cdot \dot h = 0[/tex]

[tex]2\cdot h\cdot \dot r + r\cdot \dot h = 0[/tex]

[tex]r\cdot \dot h = -2\cdot h \cdot \dot r[/tex]

[tex]\dot h = -\frac{2\cdot h\cdot \dot r}{r}[/tex]

[tex]\dot h = - \left(\frac{2\cdot \dot r}{r}\right)\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]

[tex]\dot h = -\frac{2\cdot \dot r \cdot V}{\pi\cdot r^{3}}[/tex] (2)

Where [tex]\dot r[/tex] is the rate of change of the radius, measured in inches per minute.

If we know that [tex]r = 44\,in[/tex], [tex]\dot r = 2\,\frac{in}{min}[/tex] and [tex]V = 440\,in^{3}[/tex], then the rate of change of the height is:

[tex]\dot h = - \frac{2\cdot \left(2\,\frac{in}{min} \right)\cdot \left(440\,in^{3}\right)}{\pi\cdot (44\,in)^{3}}[/tex]

[tex]\dot h \approx -6.577\times 10^{-3}\,\frac{in}{min}[/tex]

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Answer:

24 13/34

Step-by-step explanation:

The distance covered by Dennis will be 9.23 miles.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and does not require any direction to represent it.

Given that Dennis can walk about 2(5/6) miles each hour. The distance covered by Dennis in 3 hours 15 minutes will be calculated as:-

Distance = 2 ( 5 /  6)  x  3 hour 15 minute

Distance = 2.84 x 3 ( 1 / 4)

Distance = 2.84 x 3.25

Distance = 9.23 miles.

Therefore, the distance covered by Dennis will be 9.23 miles.

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Answer:

B) 2/3, 1/2, 2/5

Answer:

1.75

Step-by-step explanation:

To do this you would have to do

105/60=1.75

so that would be the answer

Answer:

A

Step-by-step explanation:

Since the prisms are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{16}{4}[/tex] = [tex]\frac{x}{1}[/tex] ( cross- multiply )

4x = 16 ( divide both sides by 4 )

x = 4 → A

The value of x on the prism is 4.

Similar figures are those figures which are having the same shape, but the sizes are different.

Given are two prisms.

We have to find the length of x.

Given that they are similar.

So the ratio between their dimensions is equal.

So,

x / 1 = 16 / 4

x = 4

Hence the value of x is 4.

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Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

30/200 = .15

move the decimal 2 places back and replace it with a %

Answer:

0.625

Step-by-step explanation:

5/6 x 3/4 = 0.625 in decimal form.

Answer:

His total earnings for sales of $948 is $425.84

Step-by-step explanation:

Let the percentage of his commission be a percentage with its value represented as x and b be his base salary , y as his total earnings

So we have;

y = x% of sales + base salary

for 849 sales and 417.92 , we have

417.92 = 8.49x + b •••••••(i)

for 1011 sales and 430.88 servings

430.88 = 10.11x + b ••••••(ii)

Subtract i from ii

12.96 = 1.62x

x = 12.96/1.62

x = 8

To get b, we substitute

430.88 = 10.11(8) + b

b = 430.88 - 10.11(8) = 350

Commission is 8% , base earnings is $350

So for total sales of 948;

y = 8% of 948 + 350

y = $425.84

Answer:

Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees

Answer:

1 + 4 = 5

2 + 5 = 12

3 + 6 = 21

8 + 11 = 96

Step-by-step explanation:

Multiplied and added by the same numer:

1+4×1

2+5×2

3+6×3

8×11×8

The value of 8 + 11 = 96.

Here given that,

1 + 4 = 5

2 + 5 = 12

3 + 6 = 21

8 + 11 = ?

How to find Missing number?

Finding the missing number in a sequence or series is a fun activity for student to identity the pattern and memorize numbers, fundamental mathematical operations or even counting.

Now, pattern is given as:

1 x 4 + 1 = 5

2 x 5 + 2 = 12

3 x 6 + 3 = 21

Hence,

8 x 11 +8 = 96

So, The value of 8 + 11 = 96.

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Answer:

See below

Step-by-step explanation:

R is the midpoint of SQ

R is the midpoint of PT

SQ and PT intersect at point R ⇒

Triangles PQR and TSR have two sides and the included angle congruent, therefore:

as per SAS congruence postulate

Answer:

2.73

Step-by-step explanation:

Bc I did this

Answer:

3

Step-by-step explanation:

subtract 3y from both sides

add 9 to both sides

3y=12x+9

divide everything by 3

y=4x+3

y-intercept is 3

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

Answer:

7 -3i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression

Answer:

i think it's 13/16

Step-by-step explanation:

1/8 times 2 is 2/16 and 3/8 times 2 is 6/16 so add all up to get 13/16

Answer:

IS there a picture?

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is no choices to choose from only a question so I'm not sure what the answer choices are.

Answer: A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

12=2x-4

12+4 = 2x

16 = 2x

16/2 =x

x =8

check

d(x) = 2(8)-4

=16-4

=12

Answer:

3. 7680

4. 18630

Step-by-step explanation:

3. solution:

200 * 38.4 = 200 *38 + 200 * 0.4

= 7600 +80

=7680

4. solution:

900 * 20.7 = 900 *20 + 900 * 0.7

= 18000 + 630

= 18630

Answer:

I do!

Step-by-step explanation:

Answer:

no sorry but i do know some friends that play..

Answer:

The concession stand sold  46  hot dogs and  32  hamburgers.

Step-by-step explanation:

Answer:

it cannot be

Step-by-step explanation:

x²=49

x=√49

x=7

Thus answer is 7 and not 8

Answer:

diameter = 28 cm

Step-by-step explanation:

circumference = 2πr

88 cm = 2 * 3.14.*r. ( π = 3.14 )

r = ( 88)/(3.14*2)

r = 14 cm

diameter = 2 * radius

diameter = 2 * 14 cm

diameter = 28 cm

Answer:

Step-by-step explanation:

Circumference formula:

Substitute values of circumference and the π to find the diameter: