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3 years ago

What is the simplified form of the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?

Mathematics

2 answers:

Veronika [31]3 years ago

8 0

Answer:

a is the right anser

Step-by-step explanation:

Yuki888 [10]3 years ago

4 0

<span>n = fraction 5 over 3

Explanation;
</span> $\frac{3}{5}n- \frac{4}{5}= \frac{1}{5} n$
<span>Eliminate the demominator by multiplying each term by 5.
3n-4=1
3n=5
n=</span> $\frac{5}{3}$

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Tell whether the ordered pair (−1, 4) is a solution of the system.

lina2011 [118]

Answer:

(-1,4) is a solution to the system.

Step-by-step explanation:

For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.

(1) -2x - 3y = -10

-2(-1) - 3(4) ?= -10

2 - 12 ?= -10

-10 == -10

(2) -3x + y = 7

-3(-1) + (4) ?= 7

3 + 4 ?= 7

7 == 7

Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system. Additionally, this means this is a crossing point of the system of equations.

Cheers.

6 0

2 years ago

A Fruit Stand sells 6 oranges for $3 and 3 grapefruits for $2.40 Lionel buys 10 oranges and 11 grapefruit how much Lionel spend

lina2011 [118]

$3/6 = .50 per orange
$2.40/3 = .80 per grapefruit

10(.50) + 11(.80) =
$5.00 + $8.80 = $13.80

8 0

3 years ago

Read 2 more answers

Wha is 3/8×5/6 you will need a paper.

icang [17]

3/8 x 5/6 = 15/48 = 5/16

4 0

2 years ago

Read 2 more answers

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

4 0

2 years ago

What is the answer to the word problem The cost of a gallon of orange juice is $3.50. What is the maximum number of containers y

Luda [366]

Answer: 4

Step-by-step explanation: you use division, or your calculator, divide $15.00 by $3.50 and you get 4.28, so you can by 4 full gallons with $1.00 left over!

5 0

3 years ago