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2 years ago

Of the 25,000 cars assembled in the automobile plant, 91% pass a routine standards examination. How many cars are rejected?

1 answer:

7 0

91% = 0.91

25,000 * 0.91 = 22,750 --->cars are passed

25,000 - 22,750 = 2,250 ---> cars are rejected

answer is B. 2,250 cars

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If a and b are whole number, what is the distance between the two points? Show your work.

Gnoma [55]

Answer:

Step-by-step explanation:

|-b| = b

b+5b= 6b

4 0

3 years ago

Answer options 2 3 4 5

777dan777 [17]

Answer:

k = 5

Step-by-step explanation:

given f(x) then f(x) + k represents a vertical translation of f(x)

• If k > 0 then a shift of k units up

• If k < 0 then a shift of k units down

f(x) crosses the y- axis at - 2

g(x) crosses the y- axis at 3

Thus g(x) is 5 units vertically up from f(x)

since g(x) = f(x) + k → then k = 5

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3 years ago

Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha

Oliga [24]

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

Longest side of larger triangle = 52 units

Sides of two similar triangles are proportional.

Let k be proportionality constant.

$k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}$

$k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}$

Length of other two sides,

$10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}$

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

4 0

3 years ago

What is the volume of the prism below?

mamaluj [8]

Answer:

v=Bh

B=6×4.5

v=27×9

v=243ft³

5 0

2 years ago

Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) $\pi + (-\pi) = 0$

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

$1 - 2 = -1$

$5 - 5 = 0$

$\frac{1}{2} - \frac{1}{4} = \frac{1}{2}$

$4 - 2 = 2$

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

In the given options (a) to (d), only

$\pi + (-\pi) = 0$ is not close under addition because:

$\pi$ is irrational while $0$ is rational

In other words, they belong to different set

8 0

2 years ago