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2 years ago

The weight of Ms. Winters' car is 3,807 pounds. What is another way to express this weight? (1 T = 2,000 lb)

Mathematics

1 answer:

otez555 [7]2 years ago

5 0

Answer:

Weight of Ms. Winter's car is 1.9035 tons

Step-by-step explanation:

Total weight of Ms. Winter's car = 3807 pounds

It has been given in the question that 2000 pounds = 1 ton

So we will use this conversion factor to express the weight in tons.

By using unitary method,

∵ 2000 pounds = 1 Ton

∴ 1 pound = $\frac{1}{2000}$ Ton

∴ 3807 pounds = $\frac{3807}{2000}$

= 1.9035 Tons

Therefore, weight of Ms. Winter's car is 1.9035 tons.

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What is AE?<br> Enter your answer in the box?

Nataly [62]

Answer:

AE = 18 units

Step-by-step explanation:

Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is

$\frac{AE}{DE}$ = $\frac{AB}{DC}$ , substitute values

$\frac{2x+4}{x+8}$ = $\frac{12}{10}$ ( cross- multiply )

10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides

20x + 40 = 12x + 96 ( subtract 12x from both sides )

8x + 40 = 96 ( subtract 40 from both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Then

AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units

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3 years ago

Carmen drew line A and line B in the two scatter plots shown. one scatter plot contains 12 points indicating a negative correlat

blondinia [14]

The true statement is that only line A is a well-placed line of best fit

<h3>How to determine the true statement?</h3>

The scatter plots are not given. However, the question can still be answered

The features of the given lines of best fits are:

12 points in total
Negative correlation
Passes through the 12 points with 6 on either sides

12 points in total
Positive correlation
Passes through the 12 points with 8 and 4 in either sides

For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.

From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.

Read more about line of best fit at:

brainly.com/question/14279419

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1 year ago

A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.

statuscvo [17]

Answer:

Cost price of the fan is $\text {Rs. 470.59}$ .

Step-by-step explanation:

Given: A man sold a fan for $\text{Rs.}\:400$ . He incurred a loss of $15\%$ .

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P., of the fan $= \text{Rs.} 400$

Loss $=15\%$

We know that $\text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%$

Now let the C.P. of the fan be $\text{Rs.} \:x$

So, $15=(\frac{x-400}{x})\times 100$

$\implies 15x=100x-40000$

$\implies 100x-15x=40000$

$\implies 85x=40000$

$\implies x=\frac{40000}{85}$

$\implies x= 470.59$

Hence, the cost price of the fan is $\text {Rs. 470.59}$ .

7 0

2 years ago

If a quadratic function has x-intercepts at 2 = -

PolarNik [594]

Complete question is;

If a quadratic function has x-intercepts at x = -3 and x = -1, one possible equation of the function would be y = (x + 3)(x + 1), a graph that first

decreases until it reaches the vertex, (-3, -1), then increases (opening upward U shape).

So then, if a quadratic function has x-intercepts at x = -2 and x = 2

a. What is the equation of this quadratic function? Explain your reasoning

b. What is the vertex of the equation? Show your work and explain your reasoning.

Answer:

Quadratic equation is; y = x² - 4

Vertex: (0, -4)

Step-by-step explanation:

The x-intercepts are at x = -2 and x = 2. Thus, the equation is;

y = (x - (-2))(x - 2)

y = x² + 2x - 2x - 4

y = x² - 4

Now,the coordinates of the vertex will be (h, k)

Where;

h = -b/2a

k is the value of y at x = h

From y = x² - 4, h = 0

Thus, putting x = h = 0 in the quadratic equation, we have;

y = 0² - 4

y = -4

Thus,the coordinates of the vertex are; (0, -4)

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3 years ago

What is the length of BC?<br> help asp

Sloan [31]

Answer:

The answer would be 22.

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3 years ago