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
lyudmila [28]
3 years ago
6

A car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallons g. How many

gallons of gas does this car need to travel 578 miles?
Mathematics
2 answers:
valina [46]3 years ago
7 0
D is directly proportional to g.

d α g

d = kg    where k = constant,  d =476,  g =14

476 = k*14

476/14 = k

k = 34

d = kg

d = 34g  is the equation.

When d = 578 miles,   g = ?

578 = 34g

g = 578/34

g = 17

17 gallons would be needed.
astraxan [27]3 years ago
5 0
Distance, d, is directly proportional to the number of gallons of gas, g. Thus,

d α g

To turn alpha to equal sign, we insert a constant of proportionality, k.

d=kg

To find k, we use the given conditions.
476 = k (14)
k = 34

Therefore, the equation is,
d = 34g

and for travelling 578 miles,
578 = 34g
g = 17 gallons is needed.

You might be interested in
What is the solution set for the open sentence with the given replacement set?
olganol [36]

Answer:

6

Step-by-step explanation:

2x + 7 = 19

     -7     -7

2x = 12

12/2 = x

6 = x

7 0
2 years ago
Y = 7x + 5<br> y = 7x - 3<br> These 2 lines are ?<br> O parallel<br> Operpendicular<br> Oneither
amm1812

Answer:

Parallel

Step-by-step explanation:

These 2 lines are parallel because they have the same slope (7).

8 0
3 years ago
Round 187.890 to the nearest 10 000
stellarik [79]

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

6 0
2 years ago
Factor the expression 15x^2-16xy+4y^2
Zepler [3.9K]

(5x-2y)(3x-2y)


Dont give me anything give it to the other lad down there


6 0
3 years ago
Read 2 more answers
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
Other questions:
  • What is the area of a triangle that has a base of 3 feet and a height of 6 feet?
    10·1 answer
  • I need 7,714 solar panels to power my new workshop. If each box contains 24 panels, about how many boxes should I purchase?
    9·2 answers
  • Find the missing side length
    7·2 answers
  • ??????????????????????????????????????????????
    14·1 answer
  • Solve for me pls :)
    13·1 answer
  • This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.
    12·1 answer
  • Two lines that have the same y intercept and different slopes intersect at exactly one point.
    10·2 answers
  • NO LINKS I WILL REPORT!!! But help PLSS It's possible to build a triangle with side lengths of 5, 7, and 11.
    12·2 answers
  • The sum of two integers is -129, if one of them is 150, find the order
    13·1 answer
  • A theater has 10 rows of seats with
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!