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3 years ago

15

explain how estimated the quotient helps you place the first digit in the quotient of a division problems

1 answer:

Marysya12 [62]3 years ago

5 0

If i understood it right when you estimate the quotient it help you have an idea

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Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing

PIT_PIT [208]

Answer:

T=29.95a + 13.95c

Step-by-step explanation:

For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.

4 0

3 years ago

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

or

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

help pls The circumference of the hub cap of a tire is 80.1 centimeters. Find the area of this hub cap. Use 3.14 for pi. Use pen

Liula [17]

Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well

Step-by-step explanation:

First, you must find the radius

<em>80.1 ÷ 3.14 = 25.5</em>

<em>25.5 ÷ 2 = 12.75 <---- radius</em>

Then from that, you find the area

A=πr²

<em>12.75² = 162.5</em>

<em>162.5 × 3.24 = 510.25</em>

<em></em>

<em>Hope this was helpful!</em>

<em></em>

3 0

2 years ago

Read 2 more answers

A person drives 5,000 miles in 6 months. How many miles will that person drive in 3 years?

Thepotemich [5.8K]

Answer:

30,000

Step-by-step explanation:

5,000 in 6 months therefore 10,000 in one year and 30,000 in 3 years

4 0

3 years ago

Read 2 more answers

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long

beks73 [17]

let's recall that an equilateral triangle has all interior angles of 60°.

Check the picture below.

so as you can see, 2√3 = x = r, namely the radius of the circle.

$\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi (2\sqrt{3})^2\implies A=\pi (2^2)(\sqrt{3})^2\implies A=12\pi$

7 0

3 years ago