On a test, 86% of the questions are answered correctly. If 215 questions are correct, how many questions are on the test?

Need some help with these problems!

LekaFEV [45]

Answer:

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

$\displaystyle w=2h$

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

$\displaystyle t=h-4$

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

$\displaystyle 3w+2h+5t=136$

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

$\displaystyle 3(2h)+2h+5(h-4)=136$

Operating

$\displaystyle 6h+2h+5h-20=136$

$\displaystyle 13h=156$

Solving for h

$\displaystyle h=12$

The other two variables are

$\displaystyle w=2h=24$

$\displaystyle t=12-4=8$

4 0

3 years ago

A construction company is considering submitting bids for two contracts. The company estimates that it has a

Paraphin [41]

Answer: 0.57

Step-by-step explanation:

khan academy

7 0

3 years ago

37

olganol [36]

Correct Option is D. Lines 72-75 ("Consider . . . happiness")

In lines 72-75, Wollstonecraft provides evidence that society’s leaders grant freedoms that privilege men. She argues that while society’s leaders believe they “are acting in the manner best calculated to promote [women’s] happiness,” their decisions don’t allow women to “contend for their freedom.”

Choices A, B, and C do not provide the best evidence that society’s leaders grant freedoms that privilege men over women.

<h3>The lines from passage are - </h3>

Consider—I address you as a legislator—

whether, when men contend for their freedom, and

to be allowed to judge for themselves respecting their

own happiness

Previous Question is :

"In Passage 2, the author claims that freedoms granted by society's leaders have:"

<h3>This question is based on paragraph from Mary Wollstonecraft, A Vindication of the Rights of Woman. Originally published in 1792, which is given below -</h3>

Passage 2 -

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

...............................................

open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

To learn more about passages from given link

brainly.com/question/25950911

#SPJ4

3 0

2 years ago

What is -5/4 to the 2nd power?

Vsevolod [243]

Answer:

$\frac{25}{16}$

Step-by-step explanation:

$(-\frac{5}{4})^2\\\\ \text {Apply power of a fraction rule: } (\frac{a}{b})^x=\frac{a^x}{b^x}\\\\(-\frac{5}{4})^2 = \frac{-5^2}{4^2}=\frac{25}{16}\\\\\boxed{(-\frac{5}{4})^2=\frac{25}{16}}$

8 0

3 years ago

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only

STALIN [3.7K]

(C) $\frac{1}{3}$ fraction of the marbles now in the bag is blue.

<h3>What is a fraction?</h3>

A fraction is a portion of a whole or, more broadly, any number of equal parts.
In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find what fraction of the marbles now in the bag is blue:

Important information is that immediately before the last step blue marbles formed $\frac{1}{5}$ from the marble in the bag.
That means that there were $x$ blue and $4x$ other marbles, for some $x$ .
When we double the number of blue marbles, there will be $2x$ blue and $4x$ other marbles.
Hence, blue marbles now form $\frac{1}{3}$ all marbles in the bag.

Therefore, (C) $\frac{1}{3}$ fraction of the marbles now in the bag is blue.

Know more about fractions here:

brainly.com/question/17220365

SPJ4

Complete question:

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

(A) 1/5

(B) 1/4

(C) 1/3

(D) 2/5

(E) 1/2

7 0

2 years ago

On a​ test, 86​% of the questions are answered correctly. If 215 questions are​ correct, how many questions are on the​ test?

On a test, 86% of the questions are answered correctly. If 215 questions are correct, how many questions are on the test?