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Misha Larkins [42]
3 years ago
10

Latrell is packing boxes that can contain two types of items. Board games weigh 3 pounds and remote controlled cars weigh 1.5 po

unds. The box can hold no more than 25 pounds. Let x represent the number of board games. Let y represent the number of remote controlled cars.
Mathematics
1 answer:
xeze [42]3 years ago
7 0
3x+1.5y\leq25

I hope this helps, I know its late, but maybe it will help other people.
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An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3.
Shtirlitz [24]

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.\overline 1 yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.\overline 1 yd. =  (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel  pad, m₁ = ρ × V₁

∴ The mass of the steel  pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750

6 0
3 years ago
I could use help plz
guajiro [1.7K]
6.7
+ 26.87
______
33.57
7 0
2 years ago
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Bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains at least 1 nine
Maksim231197 [3]
I think the answer in that problem is 10%

7 0
3 years ago
Read 2 more answers
20 POINTS!
alukav5142 [94]
I think it was √(a^2+b^2. I think.
8 0
3 years ago
What is the image point of (-12, -8) after the transformation R270° 0 D. ?
Gennadij [26K]

Given:

The point is (-12,-8).

Rule of transformation is R_{270^\circ}\circ D_{\dfrac{1}{4}}.

To find:

The coordinates of image after transformation.

Solution:

According to the rule of transformation R_{270^\circ}\circ D_{\dfrac{1}{4}}, first the point is dilated by factor \dfrac{1}{4} with origin as center of dilation after that it was rotated 270 degrees anticlockwise.

If a point is dilated by factor \dfrac{1}{4} with origin as center of dilation, then

(x,y)\to \left(\dfrac{1}{4}x,\dfrac{1}{4}y\right)

(-12,-8)\to \left(\dfrac{1}{4}(-12),\dfrac{1}{4}(-8)\right)

(-12,-8)\to \left(-3,-2\right)

If a point is rotated 270 degrees anticlockwise, then

(x,y)\to (y,-x)

(-3,-2)\to ((-2),-(-3))

(-3,-2)\to (-2,3)

Therefore, the coordinates of image after transformation are (-2,3).

3 0
3 years ago
Read 2 more answers
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