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
PtichkaEL [24]
2 years ago
6

One positive number is 2 more than twice another. Their product is 180.

Mathematics
1 answer:
alexira [117]2 years ago
6 0

Answer:

9 and 20

Step-by-step explanation:

x = one number

y = 2x+2 = other number

xy = 190

x(2x+2) = 180

2x^2 +2x = 180

2x^2 +2x- 180 = 0

Factor out 2

x^2 +x -90 = 0

(x+10)(x-9) =0

Using the zero product property

x+10 = 0  x-9=0

x= -10  x=9

But they have to be positive

x = 9

y = 2x+2 = 2(9)+2 = 18+2 = 20

You might be interested in
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
The lumberyard where you work sold a customer two boards . They measure 10 1/4 feet and 8 2/4 feet what is the total of the two
Lelechka [254]
If you add the two numbers, 10 +8 is 18.  The fractional parts are 1/4 and 2/4 which equals 3/4.  So the total length is 18 and 3/4 feet.
7 0
3 years ago
Read 2 more answers
£150 is divided between gavin, jim & Krutika so that gavin gets twice as much as jim, and jim gets three times as much as kr
Lostsunrise [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
Prove that the altitude to the base of an isosceles triangle is also the median to the base
LenKa [72]

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.

Hope It Helped! :)

4 0
3 years ago
3/5 - 2/5 please help
Oduvanchick [21]
3/5 - 2/5 = 1/5

I hope that helps!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Given the arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103,...
    10·1 answer
  • For homework, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems sh
    9·1 answer
  • How can I solve this?
    8·1 answer
  • Denote by SS the set of integers {−44,−43,...,−38−44,−43,...,−38}. Count the number of BIJECTIVE functions φ:S→Sφ:S→S such that
    6·1 answer
  • Four runners formed a relay team at Jan’s high school. The team completed the relay in 3.86 minutes. Each runner ran exactly the
    8·1 answer
  • 15 points
    9·2 answers
  • FREEEEEEEEEEEEEEEEEEEEEEE POINTS
    13·2 answers
  • 6x - 5 = 5x + 3<br> If you get it right you get brainest
    11·1 answer
  • If Kaylee can type 408 words in 4 minutes, <br> how many words can she type in 24 minutes?
    15·2 answers
  • The lunch special at Scott's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 1 drink, and 2 desserts to
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!