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Paha777 [63]
3 years ago
5

Please only answer this with actual answers and ill give the award

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0
X=6 because in the first one it says that 10 times X plus the 30 equals the 90 degree angle so that means that X=6 because 10 times 6 is 60 pulse the extra 30 degrees.
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A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0
2 years ago
Read 2 more answers
a line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = -1/2x + 1, y = 1/2x + 7,y = –2x – 8
viva [34]

Answer:

-1/2x+1 is the equation.

Step-by-step explanation:

4 0
3 years ago
A rectangular container has a base that is 12 inches long and 8 inches wide. The container is filled with water to a height of 6
valina [46]

Answer: the length of one edge of the square base of the second container is 6 inches.

Step-by-step explanation:

The formula for determining the volume of a rectangular container is expressed as

Volume = length × width × height

Considering the first container,

Length = 12 inches

Width = 8 inches

Height to which the water is filled is 6 inches.

Therefore, volume of water in the container is

12 × 8 × 6 = 576 inches³

Considering the second container,

Height of water = 16 inches

Let L represent the length of the square base. Then the area of the square base is L²

Volume of water would be 16L²

Since the water in the first container was poured into the second container, then

16L² = 576

L² = 576/16 = 36

L = √36

L = 6 inches

7 0
3 years ago
Akikta bought 25 trees for $15.40 each. Chloe bought 35 trees for $14.30 each. What was the difference between the total amounts
cupoosta [38]

Answer: $115.50

Step-by-step explanation:

500.5-385 = x

3 0
3 years ago
The table represents a linear equation.which equation shows how (-10,8) can be used to write the equation of this line is point-
larisa86 [58]

Answer:

\large\boxed{y-8=-0.2(x+10)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the table we have the points (-10, 8) and (10, 4). Substitute:

m=\dfrac{4-8}{10-(-10)}=\dfrac{-4}{20}=-\dfrac{1}{5}=-0.2

The equation of a line:

y-8=-0.2(x-(-10))\\\\y-8=-0.2(x+10)

5 0
3 years ago
Read 2 more answers
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