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a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?​

Answer:

2 1/3 cm

Step-by-step explanation:

Area = length x width

w = width

7/3 = 6/5w

cross-multiply: 30w = 70

w = 7/3 or 2 1/3

The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.

Option D is the correct answer.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The x-axis can be assumed as 10 minutes for each unit.

Now,

From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.

From x = 10, the line on the graph is horizontal this means, the speed is constant.

Thus,

The speed of the boat increases steadily for 10 minutes and travels at a constant speed.

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Answer:

264/9 = 29.34

Step-by-step explanation:

(11/3)*(12/3)*2

Answer:

29.34

Step-by-step explanation:

The height of the rectangular prism will be 9 cm.

Let the prism with a length of L, a width of W, and a height of H.

Then the volume of the prism is given as

V = L x W x H

We know that the product of the length and width will be known as the base area.

Then the volume of the rectangular prism will be

V = A x H

Base area = 147 cm²

Volume = 1323 cm³

Then the height of the rectangular prism will be

1323 = 147H

H = 9 cm

The height of the rectangular prism will be 9 cm.

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Answer:

180, 360, 540

Step-by-step explanation:

6 time 30 equal 180

12 time 30 equal 360

18 time equal 540

Multiply 30 with every number

Answer:

Step-by-step explanation:

first one A and second one C

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:

2^n - 1

Now, to plug in the numbers:

2^10 - 1

Then we simplify:

2^9

And now we solve this equation:

2^9 = 512

Answer:

x = 26

Step-by-step explanation:

[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]

Cross-multiply => 12x = 13x - 26

Isolate x => -x = -26

Divide by -1 => x = 26

Answer:

the third side could be 8 or 2

Step-by-step explanation:

Answer:

6 < x < 14;   answer = 8

Step-by-step explanation:

triangle inequality theorem: sum of any two sides must be greater than the third side

4 + 10 > x         x < 14

10 + x > 4         x > 6

Answer:

Multiply both sides by 3, then subtract 6 from both sides

Step-by-step explanation:

d + 6 / 3 = 6 (multiply both sides by 3)

d + 6 = 18 (subtract 6 from both sides)

d = 12

Answer:

d+6= 18.

d= 12

multiply both sides by 3

subtract 6 from both sides

Answer:

AB=13

Step-by-step explanation:

AC=26 => AB=BC= 13

Answer:

25.2 gallons per week

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Remark

If we draw a line from F to T, we can make a couple of statements.

Call the center of the circle O

1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.

2. <GTF = 1/2 78 by the same reasoning used above.  GTF = 39 because that is 1/2 of 78.

So the answer to the size of <T = 39 + 30 = 69 which is B

There is a much simpler way of doing this.

The central angle of the two arcs is 78 + 60 = 138

The <GTE is 1/2 the central angle

<GTE = 1/2 * 138 = 69

Answer:

}p=3−2h

][

}h=9−p

Step-by-step explanation:

i don't know the steps but i know the answer.

The equation that models the situation is h + p = 9 and 2h - p = 3

Let h represent the number of hot dog snack and p represent the number of popcorn snack.

Justin buys a total of 9 snacks. Hence:

the popcorn boxes he buys is three less than twice as many hot dogs. Hence:

The equation that models the situation is h + p = 9 and 2h - p = 3

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Answer:

f" (3,-2)

g' (3,-6)

H' (9,-5)

Step-by-step explanation:

Answer:

Vertex → (2, 4)

Step-by-step explanation:

Quadratic equation has been given as,

y = -x² + 4x

We rewrite this equation in the form of a function as,

f(x) = - x² + 4x

By comparing this equation with the standard quadratic equation,

y = ax² + bx + c

a = -1 and b = 4

Vertex of the parabola represented by this equation is given by [tex][-\frac{b}{2a}, f(\frac{-b}{2a})][/tex]

x coordinate = [tex]-\frac{4}{2(-1)}[/tex]

                     = 2

y-coordinate = f(2)

                     = - (2)² + 4(2)

                     = -4 + 8

                     = 4

Therefore, vertex of the given function is (2, 4)

Answer:

x = 3y

Step-by-step explanation:

In tabular form, the variables are given as;

x     y

-2    -6

-1     -3

0      0

1      3

2     6

To determine relationships between variables, you observe the numbers and note how they change

In the first instance, the number; -2 changed to -6. This means it was multiplied by 3.

To confirm it, we check the next set of numbers, -1 and -3. This means it is correct.

The equation showing the relationship between both variables is given as;

x = 3y

sorry that's all I know

Answer:

4x-12

Step-by-step explanation:

factor out the equation

Answer:

4 x-12

Step-by-step explanation:

Distribute

8 − 4 ( − + 5 )

8 + 4 − 2 0

Subtract the numbers

8 + 4 − 2 0

− 1 2 + 4

Rearrange terms

− 1 2 + 4

4 − 1 2

Answer:

B

I believe the reason for this is the vertical line test; Different Y values must not come from the same X.

B is the only one this applies to

Answer:

[tex]f^{-1} (x) = x - 3[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

Answer:

sorry sir i dont really know sir

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

Hope it helps....

Line A

Compare to slope intercept form

LineB

Slope

As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel

Hence it's False

Answer:

k ≤ 7

Step-by-step explanation:

use cos to get an equation and then solve.

Answer:

The answer is -77 you just multiplying then subtracting