1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mashcka [7]
2 years ago
6

What is the value of x in this proportion?

Mathematics
1 answer:
astra-53 [7]2 years ago
6 0

Answer:

  (a)  x=−20 1/2

Step-by-step explanation:

Multiply by the product of the denominators and solve the resulting linear equation in the usual way.

  \dfrac{2}{7}=\dfrac{-5}{x+3}\\\\2(x+3)=-5(7)\qquad\text{multiply by $7(x+3)$}\\\\2x+6=-35\qquad\text{simplify}\\\\2x=-41\qquad\text{subtract 6}\\\\\boxed{x=-20\dfrac{1}{2}}\qquad\text{divide by 2}

You might be interested in
A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.
Harrizon [31]

Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

p = \frac{10}{435}

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}

More can be learned about the uniform distribution at brainly.com/question/13889040

#SPJ1

5 0
2 years ago
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each
lys-0071 [83]

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

7 0
3 years ago
Solve for x<br> 3x + 80 = 107<br><br> What are the Awnser to these 2
kolezko [41]

Answer:

x=9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A diagram of a small shed is shown below, find the volume of the composite figure. 3m 6m 5m 5m 8m
Novay_Z [31]

Answer:

27

Step-by-step explanation:

3 0
3 years ago
Find the volume of the cone.
Andrew [12]

Answer:

V= 628.32

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • On a math test, the students are asked to
    11·1 answer
  • What is another way to say 345 centimeters?<br><br> 345 cm<br> 345 cg<br> 345 mm<br> 34.5 dl
    7·1 answer
  • Simplify:<br> 2 + 5i / 3 - 2 i
    13·2 answers
  • Help please.. having trouble with this question
    10·1 answer
  • In 4 seconds, a sea turtle can swim 36 meters. how meny meter would he swim in 3
    13·1 answer
  • -ax+3b&gt;5 solve for x
    14·1 answer
  • 23.5 + - (-62.74) = ​
    5·2 answers
  • Is (-5)+12 equal to 7 or is (-5)+(-12) equal to 7?
    7·1 answer
  • Help? Does anyone can solve this?
    9·1 answer
  • 1. basket cost $75.00 sale tax rate 11%
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!