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1 year ago

Show what you know: work out the problems below and submit a photo of your work to receive full credit.

Mathematics

1 answer:

Alexxandr [17]1 year ago

6 0

The model for representing the ratio of the number of orange and green rolls are $\dfrac{3}{2}$ .

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

<h3>What is ratio?</h3>

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

$\dfrac{O}{G}=\dfrac{3}{2}$

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O and D=2G

3O=2G

Hence the models are $\dfrac{O}{G}=\dfrac{3}{2}$ and 3O=2G.

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Rex has a collection of 160 toy dinosaurs to put into 4 boxes. He puts 5 handfuls of toy dinosaurs in each box. There are no toy

SpyIntel [72]

Answer: 8 dinos

Step-by-step explanation:

there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8

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2 years ago

Combine like terms to create an equivalent expression.

Brut [27]

Question..

Combine like terms to create an equivalent expression.

½ −⅙q +⅚q - ⅓

Answer:

½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

Step-by-step explanation:

Given

½ −⅙q +⅚q - ⅓

Required

Equivalence

½ −⅙q +⅚q - ⅓

We start by collecting like terms.

⅚q - ⅙q + ½ - ⅓

Factorize

(⅚ - ⅙)q + ½ - ⅓

((5 - 1)/6)q + ½ - ⅓

(4/6)q + ½ - ⅓

Reduce 4/6 to lowest term

⅔q + ½ - ⅓

Evaluate fraction

⅔q + (3 - 2)/6

⅔q + ⅙

Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

7 0

3 years ago

Read 2 more answers

Help again. I’m really bad at this.

siniylev [52]

Given the equation of a circle in the form

$(x-x_0)^2+(y-y_0)^2=r^2$

You have that $(x_0,y_0)$ is the center, and $r$ is the radius.

So, in your case, the center is $(-9,6)$ and the radius is 5.

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2 years ago

A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of

luda_lava [24]

Answer:

17.5

Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

represents the concentration of apple juice in the drink when $x$ gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

The concentration of apple juice in the drink = ?

Solution:

Given the function:

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

and

$x=6\ gallons$

$f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}$

In percentage, the concentration 17.5.

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2 years ago

What are the coordinates of the point? A coordinate grid with a dot placed in the second quadrant. The dot is to the left of pos

GenaCL600 [577]

We know that the point is in Q II. Thus, the x-coordinate of this point will be negative and the y-coordinate will be positive.

The y-coordinate is essentially given, and is y=4.
Imagine drawing a vertical line thru x=-2. This line will intersect y=4 at (-2,4).

The coordinates of the point are (-2, -4).

3 0

3 years ago