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Yuliya22 [10]
2 years ago
13

Lina has 12 coins in her purse. D of them are dimes and the rest are quarters.

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

she has 12 - D quarters.

She has 24 (12-D) cents in quarters

Step-by-step explanation:

You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.

If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.

and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.

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A police car's siren operates at a frequency of 2,000 Hz. What frequency would a stationary listener observe if the police car i
SpyIntel [72]

we can use formula

f_L=f_s(\frac{v_a-v_p}{v_a+v_p} )

where

fL is listener frequency

fs is siren frequency

va is the speed of sound in air

vs is police car speed

so, we have

f_s=2000Hz

v_a=345m/s

v_p=65mph

now, we can change it into m/s

v_p=65*\frac{1609}{3600}m/s

v_p=29.05139m/s

now, we can plug it

f_L=2000(\frac{345-29.05139}{345+29.05139} )

f_L=1689.33263Hz..............Answer

3 0
2 years ago
Determine the equation of the line that passes through the given points (if you have a graphing calculator, you can us the table
vladimir2022 [97]

Answer:

d. y = -2×

Step-by-step explanation:

First to solve find the slope using the formula, \frac{10+10}{-5-5}. The slope equals 20/-10 or -2. Then plug the slope and point, (-5,10), into slope-point form. y-10=-2(x+5), then solve for y. This gives you y=-2x+0 or y=-2x.

8 0
2 years ago
(PLEASE ANSWER!! I REALLY NEED HELP)
DaniilM [7]

Answer:

A) 6.32 in.

B) 71.56°

C) 36.88°


Step-by-step explanation:

To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.

A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:

l=\sqrt{(AB)^{2}+(BC)^{2}}=\sqrt{(2in)^{2}+(6in)^{2}}=6.32in

B) The angle asked is the angle ∠A, then, you have:

tan^{-1}(A)=\frac{opposite}{adjacent}\tan^{-1}(A)=\frac{6}{2}

∠A=71.56°

C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.

By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:

∠C=180-90-71.56=18.44

Then:

\alpha=2*18.44

\alpha=36.88°

7 0
2 years ago
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c
mash [69]
Are there choices? I would say 4x1x3, or 12 options after the color is chosen.
7 0
2 years ago
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a group of girls bought 72 rainbow hairbands ,144 brown and black hairbands and 216 bright colored hairbands .what is the larges
Nitella [24]

Answer:

72

Step-by-step explanation:

We are assuming that all girls in the group bought the same number of items.

Therefore, we need to find the highest common factor of 72, 144 and 216.

HCF

72 = 2 * 2 * 2 * 3 * 3

144 = 2 * 2 * 2 * 2 * 3 * 3

216 = 2 * 2 * 2 * 3 * 3 * 3

The product of the emboldened numbers is the highest common factor.

That is:

2 * 2 * 2 * 3 * 3 = 72

Therefore, the largest possible number of girls in the group is 72.

5 0
2 years ago
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