Which variable is most important to the following problem?

Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes lest in the game. If each half is 45 minutes long, how many minutes did Evelyn play?

Answer:

#1. Peng spent $48,918.

#2. The farmer had $10,660 at first.

#3. 2,160 minutes

Step-by-step explanation:

#1. (26 × $1,334) + (19 × $749)= $48,918

#2. 26 × 410 + 162= $10,660

#3. 2 ×(9 + 6 + 9 + 6)×12 ×3=  2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes

Answer:

Answer:

Answer choice C

Step-by-step ex. 4 is the greatest number out of explanation:

The greater the absolute value is, the steeper it is. In this case, the absolute value of -4 is positive 4 since the absolute value shows how far a number is a ways from zero and is always positive. 4 is the largest number out of all of these choices which means it is the steepest slope.

Answer:

Step-by-step explanation:

F(3) = 3(3)+7 =16

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

Answer:

24

Step-by-step explanation:

LHS and RHS have same length so 66 - 42 = 24

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Answer:

Step-by-step explanation:

Let the number of cleaning be x

Then required inequality is:

Solving:

Answer:

the first option (2x+3y=-6)

Step-by-step explanation:

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

Answer:

1)110m^2

2)1.75m

3)96.25m^2

Step-by-step explanation:

Rate of painting= The cost to paint it /

inner curved surface area of the vessel

20m^2=(Rs 2200 /inner curved surface area of the vessel)

If we make inner curved surface area of the vessel subject of the formula,

inner curved surface area of the vessel= =(Rs 2200/20)

= 110m^2

2)cost surface area of a cylinder can be calculated using expression below

(2πrh,) then the values was calculated in question 1 as 110m^2

Then from (2πrh=110) we can make "r" subject of the formula

r= 110/(2πh). h=10m deep

r=110/(2×3.14×10)

r= 1.75m

3)(iii)capacity of the vessel (in litres

The capacity of the vessel can be regarded as the volume which equals to πr^2h

From question 2 r=1.75m, and h=10m

Then

πr^2h= 3.142×(1.75)^2 ×10

=96.25m^2

Hence the capacity is 96.25m^2

Answer:

i think the answer is 31°c

Answer:

Step-by-step explanation:

Formula for calculating interest is expressed as;

I = PRT/100

P is principal

R is the rate

T is the time

For first account

I = P(1)(6)/100

I1 = 0.06P1

For the second bank!

I2 =>P2(1)(4)/100

I2 = 0.04P2

If the total interest is $3520, then

I1+I2 = 3520

0.06P1+0.04P2 = 3520.... 1

If the Amount invested = $65000

P1+P2 =65000..... 2

Solve. 1 and 2 simultaneously

Eqn 2 × 0.06

0.06P1+0.06P2 = 3900.... 3

Subtract 1 from 3;

0.04P2-0.06P2 = 3520-3900

-0.02P2 = -380

P2 = 380/0.02

P2 = $19000

Get p1;

P1 = 65000-P2

P1 = 65000-19000

P1 = $46000

Hence $46000 was invested in the first account and $19000 in the second

Answer:

The required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Step-by-step explanation:

First of all, the variables have to be selected to represent the quantities.

Let m be the number of male friends and let f be the number of female friends.

Then according to first statement "John has 30 friends"

[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]

And according to second statement "amount of male friends is 4 more than the number of female friends."

[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]

Hence the required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Answer: 3 x 3 I think

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

base times height

you do 3x times x to find area

x(3x)

3x^2

Answer:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

To know more about multiplication:

https://brainly.com/question/1135170

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Answer:

$13

Step-by-step explanation:

We find the unit rate by dividing the money earned by the hours

$390/30

= $13

He earns $13 per hour

Answer:

I think its 13...

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

From the question, we have the following parameters that can be used in our computation:

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

Read more about inequality at

https://brainly.com/question/25275758

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Answer:

Step-by-step explanation:

6x^2 + 12x + 3x + 6

6x^2 + 15x + 6

Answer:

6x² + 15x + 6

Step-by-step explanation:

Use FOIL:

Multiply the first terms:

(2x)(3x) = 6x²

Multiply 2x and 6:

(2x)(6) = 12x

Multiply 1 and 3x:

(1)(3x) = 3x

Multiply 1 and 6:

(1)(6) = 6

Then, add these all together:

6x² + 12x + 3x + 6

Add like terms:

6x² + 15x + 6 is the simplified expression

Answer:

The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Step-by-step explanation:

The zeros of the polynomial are: -2,4,0

We can write them as

x=-2, x=4, x=0

or

x+2=0,x-4=0,x=0

Multiplying all terms:

[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]

So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Answer:

4.75

Step-by-step explanation:

original price (100%) → $19

discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75

Answer:

Step-by-step explanation:

Here's what we have to do:

1. 19 x 0.75

= 14.25

2. 19 - 14.25

= 4.75

3. 4.75 + 14.25

= $19

The Discount is $4.75, and the sale price is $19.00.

This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check.  I redid the equation three times. I am seriously confused. Hope this answer helped!

If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.  

Answer:

1. D

2. A.

3. D.

Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

Answer:

h

Step-by-step explanation:

9514 1404 393

Answer:

  c)  H

Step-by-step explanation:

Consider the ratios of y to x:

  F: 4/2 ≠ 13/5

  G: 1/2 ≠ -2/5

  H: 10/2 = 25/5 = 30/6 = 50/10 . . . . a proportional relationship

  J: 3/2 ≠ 6/5

Table H shows a proportional relationship.

3-5=4x

-2=4x

Divide both sides by 4

-2/4=4x/4

X= -1/2

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

Answer:

7(x+8) or 7x+56

Step-by-step explanation:

Answer: 7

This is kind of a trick question. Each daughter has one brother- the same brother.

Answer:

14 people

Step-by-step explanation:

6(2) = 12

12 + 2= 14

Step-by-step explanation: