if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22

Answer: 54 words does Rachel type per minute

Step-by-step explanation:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find how many words does Rachel type per minute.

By definition of unit rate: all we do is divide 162 by 3 which gives us 54

Answer:

54 words per minute

Step-by-step explanation:

In 3 minutes Rachel types 162 words

Then

In 1 minutes,Rachel types 162÷3 words

In 1 minutes Rachel types 54 words

.

. . Rachel types 54 words per minute

Answer:

Equation 1: L+M=T

Equation 2: 2M=L

Large Pizzas: 6 pizzas

Medium Pizzas: 3 Pizza

Step-by-step explanation:

Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.

Answer:

576

Step-by-step explanation:

find the volume and then divide by the cube

Answer:

10cm

Step-by-step explanation:

the formula for an area of a trapezium:

[tex] \frac{(a + b) \times h}{2} = area[/tex]

where a and b are the parallel sides and h is the height. equating what we have:

[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]

simplify the numerator by adding 19.8 and 7.2=27

[tex] \frac{27h}{2} = 135[/tex]

multiply both sides by 2

[tex]27h = 270[/tex]

divide both sides by 27

[tex]h = \frac{270}{27} = 10[/tex]

the height is 10cm

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

Since it's a equilateral triangle.

[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]

[tex]\\ \sf\longmapsto 15x=180[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Step-by-step explanation:

We simply multiply what there is to multiply:

10(1+a)^2 = 10a^2 + 20a + 10

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

Answer:

25 hours

Step-by-step explanation:

subtract 800 from 570 to find out how much more she needs to save

divide your answer by 9.20

hope you understand

Answer: So, 27 as a fraction would be 27/1 i guess? lol

Answer:

27/1 it's correct answer

Answer:

AB ≈ 5.7

Step-by-step explanation:

Calculate AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )

AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]

     = [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]

     = [tex]\sqrt{4^2+4^2}[/tex]

     = [tex]\sqrt{16+16}[/tex]

     = [tex]\sqrt{32}[/tex]

     ≈ 5.7 ( to the nearest tenth )

Answer: 8/3, 2 2/3

Step-by-step explanation:

reciprocal of 3/12 is 12/3

soooooo

4/6 x 12/3

which is 48/18

u can divide that by 6

which is 8/3

or 2 2/3

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

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Answer:

$637.54

Step-by-step explanation:

The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.

Answer:

D) y is increasing by different amounts.

Answer:

d

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Set uo an algabraic equation like so:

9.75/x=6.5

Solve by multiplying both sides by x

then you get 9.75=6.5x

Then you divide 6.5 on each side

x=1.5

Answer:

1.5

Step-by-step explanation:

9.75/5.5=1.5

Answer:

inches: 0.5 miles: 14

inches: 1 miles 28

inches: 1.5 miles 42

Hope This Helps!!!

Answer:

52°C

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

The V angle is complementary with the R which means that

120° + V angle = 180° Therefore V = 60°

The sum of the internal angles of the triangles equals 180.

We have 50° + 60° + U = 180

70° is the answer

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

Answer:

67

Step-by-step explanation:

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

Answer:

the first option

Step-by-step explanation:

if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side

Answer:

- 5

Step-by-step explanation:

Given

3x = 21 ( divide both sides by 3 )

x = 7

Then

23 - 4x = 23 - 4(7) = 23 - 28 = - 5

Answer:

65 adults and 70 students

The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.

According to the question

A sporting event held at a high school had 135 attendees.

In which adults and students are there .

Let adults be a

and students be s

Therefore,

The equation is

a + s = 135 ---------------------------(1)

Now,

The event earned a total of $930.

Admission to the event was $10 for adults and $4 for students.

i,e

10a + 4s = 930 ---------------------------(2)

Now , Using elimination method to solve both equations

a + s = 135 ---------------------------(1)

10a + 4s = $930 -------------------(2)

Step1: Multiplying equation 1 by 10

i,e

10a + 10s = 1350 -------------------(3)

Step2: Subtract equation (2) from (3)

10a + 10s = 1350 -------------------(3)

-10a - 4s = -930 -------------------(2)

6s = 420

s = 70

Now , Substituting the value of s in equation (1)

a + s = 135 ---------------------------(1)

a + 70 = 135

a = 65

Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

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The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.

We have to determine

What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?

According to the question,

1.  Lin walked south, creating a right triangle-

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 1 is incorrect.

2. Lin walked southwest, creating an obtuse triangle.

When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.  

Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.

Thus statement 2 is correct.

3. Lin walked southeast, creating an acute triangle.

Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).

With walking in actuate triangle one can make Lin can not go in his diagonal direction.

Thus statement 3 is incorrect.  

4. Lin walked directly east, creating a right triangle.

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 4 is incorrect.

Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.

For more details about the Equation refer to the link given below.

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Answer:

its B Lin walked southwest, creating an obtuse triangle