a fruit bar is 5 inches long. it is split into 2 pieces. if one piece is 3/10 of the whole bar, how long is the piece?

Select 3 ratios that are equivalent to 8:20

guapka [62]

Answer:

4:10, 2:5 16:40

Step-by-step explanation:

just multiply or divide

5 0

3 years ago

The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a

xenn [34]

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4 $x$

Let the total number of choir students = 6 $x$

Total number of students = 60

As per question statement, we can write the following equation:

$\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6$

Total number of band students = 4 $\times$ 6 = <em>24</em>

5 0

3 years ago

F(x)=x^2-1 <br> G(x)=x-1 <br> find (f+g)(10).

WARRIOR [948]

<h2>Adding Functions</h2><h3>Answer:</h3>

$(f +g)(10) = 108$

<h3>Step-by-step explanation:</h3>

Before we can solve for $(f +g)(10)$ , we need to know how $(f +g)(x)$ is defined.

$(f +g)(x) = f(x) +g(x) \\ (f +g)(x) = (x^2 -1) +(x -1) \\ (f +g)(x) = x^2 -1 +x -1 \\ (f +g)(x) = x^2 +x -2$

We can now solve for $(f +g)(10)$ :

$(f +g)(10) = (10)^2 +(10) -2 \\ (f +g)(10) = 100 +10 -2 \\ (f +g)(10) = 108$

6 0

3 years ago

Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?

san4es73 [151]

Answer:

$3.50

Step-by-step explanation:

I hope this helps!

3 0

2 years ago

Read 2 more answers

What values of a and b make the equation true? sqrt(648)=sqrt(2^a•3^b)

Anuta_ua [19.1K]

ANSWER

The value of a and b are:

$a=3,b=4$

EXPLANATION

The expression given to us is

$\sqrt{648} = \sqrt{ {2}^{a} \times {3}^{b} }$

We square both sides of the equation to obtain

$648= {2}^{a} \times {3}^{b}$

We now find the prime factorization of 648 to obtain,

${2}^{3} \times {3}^{4} = {2}^{a} \times {3}^{b}$

We now compare the exponents on both sides of the equation to obtain,

$a=3,b=4$

Therefore the correct option is C

3 0

3 years ago