Solve the system by graphing write the solution as an ordered pair y=-3x+3 y=1/2x-4

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

$73,500

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

Given data

Length= 3cm

Width= 4cm

Applying Pythagoras theorem

z^2= x^2+y^2

z^2= 3^2+ 4^2

z^2= 9+16

z^2= 25

square root both sides

z= √25

z= 5cm

Hence the diagonal is  5cm

Answer:

-9

Step-by-step explanation:

Answer: R = Y

Step-by-step explanation: I'm going to assume that this is your problem:

If r = 5z and 15z = 3y, then r = ?

r = 5z

Multiply both sides of this equation by 3:

3r = 15z

Now, we know that

3r = 15z and that 15z = 3y

By the transitive property of equality, we can conclude that

3r = 3y

Dividing both sides by 3 yields this:

Answer:

A

Step-by-step explanation:

Each student spend 0.625 hours to wash all the cars.

What is unity method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

All the cars are washed by 1 student in 10 hours.

So, the time taken by 4 students to wash all the cars will be 10/4=2.5 hours.

This includes that 4 students wash all the cars in 2.5 hours.

So, the time invested by each student to wash cars is 2.5/4=0.625.

Therefore, each student spend 0.625 hours.

Disclaimer:

It takes one student 10 hours to wash all the cars at a car wash. If 4 students wash all the cars, how many hours will each person spend washing cars? (assume that all students wash cars at the same rate.)

a. 2.5 hrs

b.0.625 hrs

c.5 hrs

d. 0.4 hrs

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Answer:

44%

0.44 is 44% of 1.

to find how many seats are in each row you have to divide the nber of students by the rows 325 by 25 is 13 seats per row

Answer:

true

Step-by-step explanation:

multiply by 3

Answer:

the money reducted = 1870 - 580

                                  = 1290

now the percentage = 1290/1870 x 100

                                  = 68.9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the money reducted = 1870 - 580

                                 = 1290

now the percentage = 1290/1870 x 100

                                 = 68.9%

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

x= 24

Step-by-step explanation:

Supplementary angles measure 180 degrees

180-156=24

Answer: X measures 24

Step-by-step explanation: 180-156= 24

Answer:

3 adult tickets and 5 children tickets.

Step-by-step explanation:

Make a chart:

1 adult + 7 children = 1(5)+7(3) = 26

2 adults + 6 children = 2(5)+6(3) = 28

3 adults + 5 children = 3(5)+5(3) = 30

4 adults + 4 children = 4(5)+4(3) = 32

5 adults + 3 children = 5(5)+3(3) = 34

6 adults + 2 children = 6(5)+2(3) = 36

7 adults + 1 child = 7(5)+1(3) = 38

The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.

Answer:

39 pi cubic inches

Step-by-step explanation:

The volume of a cone is (1/3)(area of the base)(height).

[tex]V=\frac{1}{3}Bh[/tex]

Find the area of the circular base.  The circumference of a circle is [tex]C=2\pi r[/tex], so

[tex]2\pi r = 6\pi\\\\r=3[/tex]

Now that you know the radius of the circular base, you can find its area:

[tex]A=\pi r^2 = \pi(3^2)=9\pi[/tex]

The height of the cone is 13.  Time to use the volume formula.

[tex]V=\frac{1}{3}Bh\\\\V=\frac{1}{3}(9\pi)(13)\\\\V=39\pi[/tex]

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Answer:

6

Step-by-step explanation:

Answer:

in the photo

SORRY IF BAD HANDWRITING

Answer:

thanks

Step-by-step explanation:

really appreciate it

Answer:

Thank youu!

Step-by-step explanation:

hope you have a great day too!

Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

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The Venn diagram shows that the number of students who offer accounting is 30.

It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.

The number of students who offer accounting is:

= 25 + 5

= 30

The number of students who offer Economics is:

= 10 + 5

= 15

The number of students who offer only one subject will be:

= 25 + 10

= 35

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Answer:

13

Step-by-step explanation:

45+42=87

100-87=13

Answer:

No.

Step-by-step explanation:

If you go to a baseball park and ask what their favorite sport is most will probably say baseball. Just as if you go to a basketball court, most would respond with basketball as their favorite sport. I suggest not going to anything related to sports and asking random people.

Answer:

94%

Step-by-step explanation:

Given the ordered data :

18, 18, 21, 22, 25, 26, 27, 29, 30, 31, 31, 33, 36, 37, 37, 41, 42, 47, 52, 55, 57, 58, 62, 64, 67, 69, 71, 72, 73, 74, 76, 77

The percentile of 74;

From the ordered data ; 74 is at the 30th position in the data ;

Hence, 30 / n ; n = sample size

30 / 32 = 0.9375 = 0.9375 * 100% = 93.75%

Hence, the percentile of 74 is 94% (nearest whole number)

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

Answer:

54

Step-by-step explanation:

3*6*3=54

The solution is Option G.

The number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is given by combination C = 54 ways

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt be C

Now , the equation will be

The total number of shoes = 3 pairs

The total number of pants = 3 pairs

The total number of shirts = 6 shirts

And , the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt  is calculated by Combination , where

The number of ways of selecting 1 pair of shoes = ³C₁

The number of ways of selecting 1 pair of pants = ³C₁

The number of ways of selecting 1 shirt = ⁶C₁

So , the total number of ways = ³C₁ x ³C₁ x ⁶C₁

On simplifying the equation , we get

The total number of ways C = 3 x 3 x 6

The total number of ways C = 54 ways

Hence , the combination is C = 54 ways

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