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
Readme [11.4K]
4 years ago
7

The sum of two consecutive mile markers on the interstate is 417417. Find the numbers on the markers

Mathematics
1 answer:
noname [10]4 years ago
5 0

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709                  


Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417            => combine like terms

2m + 1 = 417417                 => subtract 1 from both sides

2m =  417416                     => divide both sides by 2

m  = 417416/2  = 208708                  

Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

MrB

You might be interested in
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The
sattari [20]

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) \sqrt{\frac{pq}{n} }

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as  proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the  proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value  ± 1.28.

We have alpha equal to 0.2  for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) \sqrt{\frac{pq}{n} }

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 \sqrt{\frac{0.8*0.2}{200} }

0.8 ± 0.03620

0.8362, 0.7638

As the calculated value of z lies within the critical region  we reject the null hypothesis.

8 0
3 years ago
What is the slope of this line?<br> A. -5<br> B. -1/5<br> C. 5<br> D. 1/5
musickatia [10]

Answer:

D, 1/5.

I used the points 0, 2 and 3, 5 and used the rise over run technique.

6 0
4 years ago
Geometry Proof - Thanks in advance for the help!
RideAnS [48]

Answer:

Using reflexive property (for side), and the transversals of the parallel lines, we can prove the two triangles are congruent.

Step-by-step explanation:

  • Since AB and DC are parallel and AC is intersecting in the middle, you can make out two pairs of alternate interior angles<em>.</em> These angle pairs are congruent because of the alternate interior angles theorem. The two pairs of congruent angles are: ∠DAC ≅ ∠BCA, and ∠BAC ≅ ∠DCA.
  • With the reflexive property, we know side AC ≅ AC.
  • Using Angle-Side-Angle theorem, we can prove ΔABC ≅ ΔCDA.
8 0
4 years ago
Pls solve this!!!!! Points!!!!!!!
Alex_Xolod [135]

Answer:

1

Step-by-step explanation:

Given that both equations are equal, solve the distributive property and then just solve for X:

2x + 2(3x-1) = 3(x+1)
2x + 6x - 2 = 3x + 3
5x = 5
x = 1

Therefore, the value of X is 1.

To know the perimeter of the triangle, we apply the value of X to solve the equation.
3(x + 1)
3(1 + 1)
3 + 3 = 6.

Therefore, each figure's perimeter is 6, as both are equal.

3 0
3 years ago
Which digit is in the trillions place in 12,345,678,900,000
zalisa [80]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Show work for 208 divided by 3
    14·1 answer
  • Barry has 64 butterflies in his collection. He gave half of them to his sister and 12 to his brother. How many butterflies does
    15·2 answers
  • Hwlppppppp me for 30 pointssss
    7·2 answers
  • A laptop is marked down 15%. The original price is $749. How much is the discount?
    7·2 answers
  • PLEASE HELP!!! WILL GIVE LOTS OF POINTS IF ANSWERED!!!
    8·1 answer
  • Helppppppppp please
    15·1 answer
  • Tell three things you know about adding and subtracting numbers
    12·1 answer
  • Answer and explanation please!!
    14·1 answer
  • $80 printer selling for 37.5% off find the final price of the printer if the sales tax is 5.5%
    7·2 answers
  • 4. Type of data that is given as individual data points.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!