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3 years ago

Find the value of: a) 2x when x=5 b) 4y when = -3 c) 3z when z = 1.2

Mathematics

1 answer:

ohaa [14]3 years ago

5 0

Answer:

A. 10. B. -12. C. 3.6

Step-by-step explanation:

You will do this:

a) If x=5 (what about 2x)

=2x times 5 divide by x .That makes the answer 10

b) If y=-3(what about 4y)

=4y times -3 divide by y .That makes the answer -12.

c) If z=1.2(what about 3z)

=3z times 1.2divide by z. That makes the answer 3.6.

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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

Can you help me round these?

scoundrel [369]

Answer:

These are the answers

1) 37.7

2) 9

3)42.051

5 0

3 years ago

Read 2 more answers

2. Draw the image of ∆RST under the dilation with scale factor ⅓ and center of dilation at the origin. Label the image ∆R’S’T’.

Alchen [17]

Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.

R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)

So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.

6 0

3 years ago

Point D with coordinates (3,-5) is reflected across the x-axis, then translated by the vector ⟨−4,6⟩ . Where is its image locate

Dmitriy789 [7]

Answer:

A. quadrant l

4 0

3 years ago

Read 2 more answers

Find the total surface area of this square based

MrRissso [65]

Answer:

300ft^2

Step-by-step explanation:

Total surface area = Area of base + (1/2) x perimeter of base x slant height

Area of base = length² = 10 x 10 = 100

Perimeter of base = 2 ( length + breadth)

2 x 20 = 40

slant height = 10

100 + (1/2) x 40 x 10 = 300 ft^2

7 0

2 years ago