answer.
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
balu736 [363]
2 years ago
13

Is it possible to place 158 books on three shelves so that the first shelf has 8 less books than the second and 5 more books tha

n the third shelf?
Mathematics
1 answer:
Lisa [10]2 years ago
5 0
Let
x-----------------> books in <span>the first shelf
</span>y-----------------> books in the second shelf
z-----------------> books in the third shelf
we know that
x+y+z=158-------------> equation (1)
x=y-8---------> y=x+8 ------->  equation (2)
x=z+5--------> z=x-5  --------> equation (3)
<span>
 substitute (2) and (3) in (1)
</span>x+(x+8)+(x-5)=158--------> 3x=155----------> x=51.7


<span>the number of books in the first shelf (x=51.7) is not a whole number
therefore

the answer is
Is not possible to place the amount of 158 books in the amounts indicated in the problem</span>



You might be interested in
An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest
11Alexandr11 [23.1K]
Every 1 minute, you multiply the mass by 27.7% or 0.277

after 1 minute, you multiply once
after 2 minutes, you multiply twice
3, thrice
etc
so after 13 minutes, you multiply 13 times or 0.277^13

so what is 970g *0.277^13 =?

7 0
2 years ago
Read 2 more answers
Let p denote the proportion of students at a particular university that use the fitness center on campus on a regular basis. For
9966 [12]

Answer:

a) P-value = 0.0968

b) P-value = 0.2207

c) P-value = 0.0239

d) P-value = 0.0040

e) P-value = 0.5636

Step-by-step explanation:

As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.

For this type of test, the P-value is defined as:

P-value=P(z>z^*)

being z* the value for each test statistic.

The probability P is calculated from the standard normal distribution.

Then, we can calculate for each case:

(a) 1.30

P-value=P(z>1.30) = 0.0968

(b) 0.77

P-value=P(z>0.77) = 0.2207

(c) 1.98

P-value=P(z>1.98) = 0.0239

(d) 2.65

P-value=P(z>2.65) = 0.0040

(e) −0.16

P-value=P(z>-0.16) = 0.5636

7 0
2 years ago
triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congru
cluponka [151]

Answer:perpendicular bisector theorem

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
Kimberly is considering buying her first home. The house she is interested in buying is priced at $159,000. Kimberly qualifies f
lbvjy [14]
829.00    I just used a mortgage calculator 
8 0
2 years ago
Read 2 more answers
If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three option
meriva

Answer:

Option (1)

Step-by-step explanation:

In the figure attached,

BC is the angle bisector of angle ACD.

To prove ΔABC and ΔDBC congruent by SAS property we require two sides and the angle between these sides to be congruent.

Since BC ≅ BC [Reflexive property]

∠ABC ≅ ∠CBD ≅ 125°

And sides AB ≅ BD

Both the triangles will be congruent.

Therefore, additional information required to prove ΔABC ≅ ΔDBC have been given in option (1).

Therefore, Option (1) will be the answer.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Determine whether the vectors u and v are parallel, orthogonal, or neither.
    13·2 answers
  • Lorraine took two practice tests to prepare for an academic competition. On her first test, she completed 52 questions in the al
    5·2 answers
  • Kyra and her twin sister share shoes. In there closet they have four pairs of Sandals,five pairs of tennis shoes, and three pair
    5·1 answer
  • Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4.
    15·2 answers
  • A researcher plans to conduct a research study comparing two treatment conditions with a total of 20 scores in each treatment. W
    14·1 answer
  • PLEASE HELP!!!!!!!
    10·2 answers
  • If a seventh grader gets closer to the record-setting jump, then the seventh graders earn 100 points. If not, the eighth graders
    6·2 answers
  • Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number of
    9·1 answer
  • Which of the numbers below is less than 48.975? Select all that apply. A) 48.9 B) 48.98 C) 48.963 D) 49​
    8·1 answer
  • The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!