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2 years ago

A car was sold at 20150. that price was 65℅ of original price. what was the original price?

1 answer:

5 0

<span>A car was sold at 20150. that price was 65℅ of original price
so
original price = 20,150 x 100 / 65 = 31,000

Answer
</span>Original price = $31,000

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A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? r

MAXImum [283]

The force needed to keep the cart at rest is 149.022 pounds

<h3>Force and Motion</h3>

Given Data

Weight of cart = 200 pounds

Angle = 40 degree

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

Learn more about force here:

brainly.com/question/12970081

7 0

2 years ago

Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

5 0

1 year ago

Solve for y -3x-4y=8

ahrayia [7]

Answer:

Step-by-step explanation:

3x + -3x - 4y = 8 - 3x

-4y = 8 - 3x

-----------------

-4

y = 8/-4 + 3/4 x

y = -2 + 3/4x

4 0

2 years ago

Read 2 more answers

David express company was asked to deliver 325 boxes of apples. according the rule, the delivery fee is

Andrew [12]

Answer:

22 boxes were lost. Look for the happy squirrels.

Step-by-step explanation:

Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:

($25)*(325) = $8125

The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)

But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:

Resulting Income: $8125 - ($100)x = $5925

$8125 - ($100)x = $5925

-100x = -2200

x = 22 boxes were lost. Zounds! [A metric term for %$%^&]

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

<u>Check:</u> Does the loss of 22 of the 325 boxes result in a total payment of $5925?

Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575

Penalty of $75 per lost box: 22*($75) = $1650

Result: $7575 - $1650 = $5925 <u>YES</u>

3 0

1 year ago

Mr. Dexter sells subscriptions to a magazine for $18 each. For each subscription he sells, he earns $8. One month, he sold $900

TiliK225 [7]

Answer:

$400

Step-by-step explanation:

Dexter's earnings can be found using the proportion ...

earnings/sales = $8/$18 = ??/$900

Multiplying by $900, we find ...

?? = $900(8/18) = $400

Dexter's earned $400 on the sales for the month.

6 0

2 years ago