2. Write an equation in siope-interceptform to represente relationship in the table ​

Answer:

true

Step-by-step explanation:

[tex]\frac{x}{2} <20[/tex]

* substitute 30 for x *

[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]

we're left with 15 < 20 which is true

9514 1404 393

Answer:

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

  6P +5L = 675

  4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

__

Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

  2(6P +5L) -3(4P +3L) = 2(675) -3(425)

  12P +10L -12P -9L = 1350 -1275

  L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

  5(4P +3L) -3(6P +5L) = 5(425) -3(675)

  20P +15L -18P -15L = 2125 -2025

  2P = 100 . . . . simplify

  P = 50 . . . . . . divide by 2

The hourly rates are ...

  $50 per hour for packing

  $75 per hour for loading

Answer:

40 packing and 80 moving

Answer:

[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]

[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

B

Step-by-step explanation:

Answer:

D. 21 m

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

Answer:

19.4% but rounded is 19%

Step-by-step explanation:

7/36 = x/100

36x = 700 (cross multiply)

36x/36 = 70036

x = 19.4444444

Answer:

12/15

Step-by-step explanation:

3x5=15

4x3=12

15-12=3

Therefore the answer is 12 over 15

Answer:

55

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

surface area of a rectangular prism = 2lw + 2lh + 2wh

Where l = length, w = width and h = height

The box has the following dimensions

length = 5 in

width = 3 in

height 2 in

Using these dimensions, we plug in the values into the formula

[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]

Hence, the surface area = 62

Answer:

12.7

Step-by-step explanation:

Mean is total/the amount of numbers

Total: 11+14+11+5+17+28+3=89

Amount: 7

89/7=12.7142857

Answer:

12.7

Step-by-step explanation:

Mean = sum/count

Sum = 89

Count = 7

mean = 89/7

mean = 12.7142857143

Rounded

12.7

Answer:

89

Step-by-step explanation:

3 consecutive numbers can be:

[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)

The sum is all of them added, so

[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]

90 is the middle number though, so the first number is 89

Answer:

88, 90, 92

Step-by-step explanation:

I hop this is right can you pls answer this question khan academy.

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.

What is the perimeter of rectangle ABCDABCDA, B, C, D?

units

Thank you

Answer:

40

Step-by-step explanation:

7(4)+2(4)+(4)=?

28+8+4=?

36+4=?

40

Simplify

Put x=4

Answer:

Area of three triangles = 36 square units

Area of the composite figure = 60 square units

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]

                        = 12 square units

Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]

                        = 12 square units

Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]

                       = 12 square units

Area of rectangle ACEG = Length × Width

                                        = AC × CE

                                        = 6 × 4

                                        = 24 square units

Area of three triangles = 12 + 12 + 12

                                      = 36 square units

Area of the composite figure = Area of three triangles + Area of the rectangle

= 36 + 24

= 60 square units

Answer:

The total area of the three triangles is 36 square units.

The area of the figure is 60 square units.

Step-by-step explanation:

Answer:

4.15

Step-by-step explanation:

the radius is half the diameter so 8.3/2

=4.15mm

Answer:

4.15

Step-by-step explanation:

radius is the half of the diameter so 8.3/2 is 4.15

Answer: D) 888.6

Step-by-step explanation:

The expression which would help arrive at the required answer is y = 78b + c.

The least regression equation is the equation of best fit obtained from a linear regression graph.

The linear regression equation is expressed in the form :

y = bx + c ; where ;

y = Predicted variable

x = predictor variable

c = intercept

b = slope

The least regression equation is not given in the question above.

However, we could give the equation in the linear regression format :

y = number of visitors

y = number of visitors x = temperature = 78°

Hence, the equation becomes :

y = b(78) + c

y = 78b + c

Inputting the values of b and c in the equation will give the required answer.

Learn more : https://brainly.com/question/4997238?referrer=searchResults

Answer:

- sqaure root 7-3, sqaure root 7-3

Step-by-step explanation:

See Image below:)

Answer: 1.68

Step-by-step explanation:

A pex

Given:

Principal = R573.00

Rate of interest = 9.3% annually

Time = 15 years.

To find:

The amount after 15 years.

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.

The interest is compounded annually, so n=1.

Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get

[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]

[tex]A=573\left(1+0.093\right)^{15}[/tex]

[tex]A=573\left(1.093\right)^{15}[/tex]

[tex]A=2174.98893[/tex]

[tex]A\approx 2174.99[/tex]

Therefore, the amount in the account after 15 years is about  R2174.99.

Answer:

C, 40

Step-by-step explanation:

You can set up the equation as 20+4x=180

180 is the total angle of the line

4x=160 and divide each side by 4

x=40

Answer: p= -3,2

q= -3,8

R= -8,8

s=-8,2

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

4892 or 2446

Step-by-step explanation:

Answer:

9 pizzas

Step-by-step explanation:

the right aswer is -1.33

Answer:

2xˆ2-x-13=0

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

2x^2 - 13 = x

Subtract x from both sides:

2x^2 - x - 13 = 0 is the standard form.