Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?

Mathematics

1 answer:

Murrr4er [49]2 years ago

8 0

The answer is D- 999*99 is 98,901 (which is 5 digits. It cannot go higher), but 100*10 is 1,000, so it can go lower.

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A 16-ounce bottle of spring water is $1.76. A 20-ounce bottle of fresh water is $2.40. which statement about the unit prices is

faltersainse [42]

your answer is b spring water has a lower unit price of $0.12/ounce

8 0

2 years ago

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Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse

Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is; $\sqrt{3} : 2$

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90° as shown below in the figure.

The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.

The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.

Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

the length of the hypotenuse is twice the length of the shorter leg,also
the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

Then:

the sides are in proportion i.e, $1:\sqrt{3} :2$

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is: $\sqrt{3} : 2$

7 0

2 years ago

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A company purchased equipment and signed a 7-year installment loan at 9% annual interest. The annual payments equal $9,000. The

ANTONII [103]

First, we should apply the present value of annuity formula. It is $PV=A \frac{1- \frac{1}{(1+r)^{N}}}{r}$ and in this formula $\frac{1- \frac{1}{(1+r)^{N}}}{r}$ is the present value of annuity factor.

Then, we can find the present value of the annuity by writing that, $PV=9000 * 5.033 = 45297$ <span>
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2 years ago

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Six pairs of socks cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much

REY [17]

(1) 6 pairs of socks = 1 coat
(2) 2 pairs of jeans = 3 pairs of shoes
(3) 4 pairs of socks = 1 pair of jeans

the last two points are irrelevant becuase we just need socks and coats.
6 pairs of socks are equal to 1 coat.
we need 64 pairs of socks.
so, 64 ÷ 6 = 10.67

so we'll need 10.67 coats for 64 pairs of socks.

i'm not sure if you've typed up the correct numbers becuase i don't think the answer would be expressed as a decimal.

unless we say that we need 11 pairs of coats?

perhaps reread the question again and make sure you've typed it up correctly
xD i hope i've helped.

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2 years ago

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract

Zina [86]

Answer:

The equation of the line in standard form is

$x-4y=8$