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Aleksandr-060686 [28]

2 years ago

13

You are choosing a song for your dance recital. Song A has 11 beats in 10 seconds. Song B has 7 beats in 6 seconds. Which song h

as the greater rate?

1 answer:

shusha [124]2 years ago

3 0

Song B
7/6 is greater than 11/10

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Simplify completely*****

san4es73 [151]

Answer:

$\displaystyle \frac{2(x + 4)}{3}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Terms/Coefficients
Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \frac{4x + 16}{6}$ <u />

<u />

<u>Step 2: Simplify</u>

[Fraction] Factor numerator: $\displaystyle \frac{4(x + 4)}{6}$
[Fraction] Reduce: $\displaystyle \frac{2(x + 4)}{3}$

5 0

2 years ago

Solving 8 problems per minute, Fast Finn can finish his test in time. He was however, working faster, solving 10 problems per mi

mrs_skeptik [129]

Answer:

Number of problems = 240

Step-by-step explanation:

Let x be the number of questions and t be the time.

Given:

Average rate = 8 problems per minute

Fast Finn rate = 10 problems per minute

Fast Finn taken time = t - 6

We need to find the number of problems on the test paper.

Solution:

Average rate to solve test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$8 =\frac{x}{t}$

$t =\frac{x}{8}$ --------------(1)

Fast Finn rate to solve the test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$10 =\frac{x}{t-6}$

Using cross multiplication rule.

$x=10(t-6)$

$x=10t-60$

substitute $t =\frac{x}{8}$ from equation 1.

$x=10(\frac{x}{8}) -60$

Rearrange the equation as:

$x - \frac{5}{4}x = -60$

$\frac{4x-5x}{4}=-60$

$-\frac{x}{4} = -60$

Using cross multiplication rule.

$x = 60\times 4$

x = 240 problems.

Therefore, 240 problems were on the test.

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3 years ago

The shape on the left is transformed to the shape on the right. Figure A B C D is rotated to form figure A prime B prime C prime

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Answer:

A

Step-by-step explanation:

I did the test and it is the only one that makes sense

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