On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.

. Noel buys 12 balloons and 35 paper cups for his birthday party. What is the ratio of balloons to paper cups? 3.

Varvara68 [4.7K]

Answer:

12:35

Step-by-step explanation:

7 0

3 years ago

Use the system 4x -2y=21, y - 2x =10. Write each equation in slope intercept form. Compare the slopes and y-intercepts. Make a c

Korvikt [17]

Answer:

its no solutions

Step-by-step explanation:

because u solve the 1st varibles in one of the equations,then subsitute the results into the other equations

6 0

3 years ago

You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0

3 years ago

Does someone know the answer? Simplify it <br> 3(2a^2-3a+1)-(2a+7)

igor_vitrenko [27]

Answer:

5a3-5a2

Step-by-step explanation:

7 0

3 years ago

Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of

Rzqust [24]

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

Step-by-step explanation:

The given is,

A solid clay brick in the shape of a rectangular prism.

A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.

The clay weighs 1.055 ounces per cubic

Step:1

Formula for volume of rectangular prism,

$Volume, V= whl$ ...................(1)

Where, w - Width of the rectangular prism

h - Height of rectangular prism

l - Length of rectangular prism

From the given,

w = 3.5 inches

h = 2.25 inches

l = 8 inches

Equation (1) becomes,

$= (3.5)(2.25)(8)$

$= (7.875)(8)$

$= 63$

Volume, V = 63 cubic inches

Step:2

Weight of brick = Volume of brick × Weight per cubic inch

$= (63) (1.055)$

= 66.465 ounces

Weight of brick = 66.465 ounces

Result:

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

7 0

3 years ago