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4 years ago

a student has test scores of 92%, 87%, and 78%. what must she need to score on thenlast test to maintain 80% or better?

1 answer:

7 0

We'll solve this equation in order to find the score of the 4th test, which we denote with x. $\frac{92+87+78+x}{4}=80$ . Solving it we find that x=63. And it is the final answer for this problem.

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The answer of the problem

Alex777 [14]

Answer:

x = 6

Step-by-step explanation:

2x + 3 = 4x + -9

2x + 3 = 4x - 9

-2x -2x

3 = 2x - 9

+9 +9

12 = 2x

6 = x

3 0

4 years ago

Read 2 more answers

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0

3 years ago

In a company's first year in operation, it made an annual profit of $140,000. The profit of the company increased at a constant

allochka39001 [22]

Answer:

$8,287,429

Step-by-step explanation:

The total profit will be the sum of a geometric series. The formula for that sum is ...

Sn = a1 × (r^n -1)/(r -1)

where a1 is the first term, r is the common ratio, and n is the number of terms.

Here, the series has first term $140,000, common ratio 1+0.20 = 1.2, and we want the total of 14 terms. The total profit is ...

S14 = ($140,000) × (1.2^14 -1)/(1.2 -1) ≈ $8,287,429

In the first 14 years of operation, the total profit would be $8,287,429.

7 0

2 years ago

please help! 20 points for answering. if you guess or just write something to just get points i will make sure your account gets

Rudik [331]

It's the one with the greater than or less than sign (the second option) because Logan wants to make money greater than or less than $1000

6 0

3 years ago

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a ye

KATRIN_1 [288]

Answer: Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

Step-by-step explanation:

Since we have given that

Annual salary of ABC company = $45000

Annual salary of XYZ company = $38000

Rate of commission = 2%

Amount of salary after commission at XYZ company would be

$\dfrac{100+2}{100}\times 38000\\\\=\dfrac{102}{100}\times 38000\\\\=1.02\times 38000\\\\=38760$

So, Difference between is given by

$45000-38760\\\\=\$6240$

Hence, Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

3 0

4 years ago