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2 years ago

A truck is carrying 8 cars weighting an average of 4500 pounds each. What is the total weight in tons of the cars on the truck?

Mathematics

1 answer:

umka2103 [35]2 years ago

8 0

Answer:

the total weights in tons is 18

Step-by-step explanation:

The computation of the total weights in tons is shown below:

The weight of 8 cars would be

= 4,500 pounds × 8 cars

= 36,000 pounds

Now as we know that 1 ton = 2,000 pounds

So for 8 trucks it would be

= 36,000 pounds ÷ 2,000 pounds

= 18 tons

Hence, the total weights in tons is 18

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Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

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3 years ago

What is the radius of the base of the cone in the figure below?

liubo4ka [24]

Answer: approximately 12.17 units

==========================================================

Work Shown:

We'll use the tangent ratio to find r

tan(angle) = opposite/adjacent

tan(49) = 14/r

r*tan(49) = 14

r = 14/tan(49)

r = 12.1700143294271

r = 12.17

The radius is approximately 12.17 units long.

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2 years ago

Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)

Svetach [21]

I worked out the problem hope it helps

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3 years ago

If we transform y=x^2 by 5 units to the left and 8 units ups, what is the vertex of the resulting parabola?

sertanlavr [38]

Answer: y = (x + 5)² + 8

<u>Step-by-step explanation:</u>

y = x²

left 5 units: y = (x + 5)²

up 8 units: y = (x + 5)² + 8

7 0

3 years ago

Read 2 more answers

Find the area of the polygon. A = __ft squared

Nataliya [291]

Answer:

28.5^2

Step-by-step explanation:

The formula is, b(base)+c(height)= b+c over 2. b+c/2.

B=19ft in this problem.

C=38ft

Knowing this, we can further simplify.

19+38/2

Now, we add 19 and 38.

(57)

57/2= 28.5

So, the anwser is 28.5^2

8 0

2 years ago