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3 years ago

The quotient -12 3 what is that

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer:a= 6, b=-5, c=-4, d=10, e=-5, f=-4

Step-by-step explanation: a is -18/3=-6

b is -5/-1= 5

c is 24/-6=-4

d is -10/-1= 10

e is -25/5=-5

f is -8/2=-4

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Find the dimensions of the box described.

Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

The length is twice as long as the width
The height is 4 inches greater than the width
The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

5 0

3 years ago

Evaluate the discriminant for each equation, then use it to determine the nature of the roots for each quadratic equations

saveliy_v [14]

The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. The standard form of quadratic equation is ax2 + bx + c = 0. Upon substitution, we can easily determine the discriminant. If disc. is zero, the roots are equal; if <0, then the roots are positive and non-identical; if <0, the roots are negative and imaginary.

4 0

3 years ago

The volume of a sphere is 972π cubic millimeters. What is the circumference of the great circle of the sphere? (Recall that the

Mashcka [7]

$\boxed{\boxed{\text {Volume =} \dfrac{4}{3} \pi r^3}}$

Given that the volume is 972π mm³, find radius:

$972\pi = \dfrac{4}{3} \pi r^3$

$r^3 = 972\pi \div \dfrac{4}{3} \pi$

$r^3 = 729$

$r = \sqrt[3]{729}$

$r = 9 \text{ mm}$

Find Circumference:

$\boxed { \boxed {\text{Circumference = }2 \pi r}}$

$\text{Circumference = }2 \pi (9)$

$\text{Circumference = }18 \pi \text{ mm}$

8 0

3 years ago

Read 2 more answers

Compute the new checkbook balance. Previous balance: $465.98 Checks written: $10.00, $14.95, $6.07, and $109.10 Deposits made: $

crimeas [40]

465.98-10.00-14.95-6.07-109.1+(30.00) =355.86

7 0

3 years ago

Which set of data has the greatest range?

algol [13]

Answer:

Step-by-step explanation: