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2 years ago

Solve by substitution ANSWER NOW

Mathematics

1 answer:

Maslowich2 years ago

5 0

Y = -5x + 9
y = 5x + 7

5x + 7 = -5x + 9
5x + 5x = 9 - 7
10x = 2
x = 2/10 reduces to 1/5

y = 5x + 7
y = 5(1/5) + 7
y = 1 + 7
y = 8

solution is (1/5,8)

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A coordinator will select 6 songs from a list of 9 songs to compose an event's musical entertainment lineup. How many different

g100num [7]

Answer:

84 different lineups are possible

Step-by-step explanation:

The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

6 musics from a set of 9. So

$C_{9,6} = \frac{9!}{6!(9-6)!} = 84$

84 different lineups are possible

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2 years ago

I REALLY NEED HELP!

Snowcat [4.5K]

Answer:

Step-by-step explanation:

The compound interest formula is $A = P (1+r/n)^nt$ where:

P is the starting amount called the principle
r is the rat written as a decimal
n is the number of times compounded in a year
t is the number of years

Substitute a value into each variable to solve.

P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.

The rate is 3.5% or r = 0.035.
n = 12 because it is compounded monthly meaning 12 times a year.
t = 25 since it will earn for 25 years.

$A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19$

Repeat this process for each formula.

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3 years ago

A line on a graph shows a proportional relationship between the amount of almonds, x, in grams and the total calories y. Two poi

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C. 5.75 calories per gram

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2 years ago

Read 2 more answers

A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer

sp2606 [1]

Answer: The answer is $\textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.$

Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

$\textup{M}+\textup{H}\leq 10.$