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4 years ago

6

A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 13 dollars and 60 cents altogether, how many quart

ers does he have in his bank?

1 answer:

Nimfa-mama [501]4 years ago

3 0

11 i think check I am not sure I think I did this problem already

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When a kite is flying, the string makes an angle of 22° with the horizontal, and the string is 200m long. How high is the kite?

AURORKA [14]

Answer: Check the picture below.

Make sure your calculator is in Degree mode.

the question "how long is the kite?" is not quite clear, i suppose it was asking how far it was from the ground (b) or horizontally (a). I calculated both, I hope this helps

5 0

2 years ago

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 4]? x f(x) -6 27 -3 6 -1

USPshnik [31]

Answer:

<em>The correct option will be: C. 3</em>

Step-by-step explanation:

The given table is..........

$x :$ -6 -3 -1 0 1 4

$f(x) :$ 27 6 2 3 6 27

<u>The formula for average rate of change</u> is: $\frac{f(b)-f(a)}{b-a}$ , where $[a,b]$ is the given interval.

Here the interval is [-3, 4]. So, $a=-3$ and $b=4$

Now, plugging the values of $a$ and $b$ into the above formula, we will get........

$\frac{f(4)-f(-3)}{4-(-3)}$

<u>From the given table,</u> we will get $f(4)=27$ and $f(-3)=6$

So, the average rate of change will be: $\frac{27-6}{4-(-3)}= \frac{21}{7}=3$

3 0

3 years ago

Alice has 3 pieces of cloth she embroiders different types of designs on each piece of cloth so that each design covers 1/16 of

Citrus2011 [14]

Answer:

48 designs

Step-by-step explanation:

Total pieces of clothes = 3

Area covered by each design on a piece of cloth = 1/16

How many types of designs can Alice embroider on the three pieces of cloth

Number of designs Alice can embroider on 3 pieces of cloth = Total pieces of cloth / area covered by each embroidery

= 3 ÷ 1/16

= 3 × 16/1

= 48

Therefore, Alice can embroidery 48 types of designs on the 3 pieces of clothes

8 0

3 years ago

Type A is 2 feet tall and grows at a rate of 17 inches per year. Type B is 10 feet tall and grows at a rate of 5 inches per year

Svetllana [295]

Answer:

Therefore after 3 years the height of these tree will be same.

Step-by-step explanation:

Given that,

Type A is 2 feet tall and grows at a rate of 17 inches.

Type B is 10 feet tall and is growing at a rate of 5 inches.

1 feet = 12 inches,

2 feet= (12×2) inches = 24 inches

5 feet= (12×5) inches = 60 inches

Let after t years, the height of these tree will be same.

After t years, the height of type A is =(24+17t)

After t years, the height of type B is =(60+5t)

According to the problem,

24+17t=60+5t

⇒17t-5t=60-24

⇒12t = 36

⇒t = $\frac{36}{12}$

⇒t=3

Therefore after 3 years the height of these tree will be same.

7 0

3 years ago

At which values of x does the function F(x) have a vertical asymptote? Check all that apply.

Anton [14]

You get vertical asymptotes because the x-value causes you to try to divide by 0.

If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.

You find these by solving 3x(x-1)(x+5)=0.

That's your answer: 0, 1, and -5

3 0

3 years ago