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
Arada [10]
3 years ago
9

Divide 180 into two parts such that the larger is 16 more than 3 times the smaller. Find the numbers. Please help?

Mathematics
1 answer:
Kitty [74]3 years ago
8 0
Larger: x
smaller: 180 - x

x + 16 = 3 (180 - x)
distribute the 3
x + 16 = 540 - 3x
subtract 16 from both sides
x = 524 - 3x
add 3x to both sides
4x = 524
divide both sides by 4
x = 131 (larger)
180 - 131 = 49 (smaller)


You might be interested in
Educators are testing a new program designed to help children improve their reading skills. The null hypothesis of the test is t
il63 [147K]
Answer is a hopefully it helps
3 0
3 years ago
A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which
Triss [41]

Answer: Hence, the probability that he will get at least one lemon is 0.70.

Step-by-step explanation:

Since we have given that

Number of cars = 30

Number of lemon cars = 10

Number of other than lemon cars = 30-10 = 20

According to question, he bought 3 cars,

we need to find the probability that you will get at least one lemon.

So, P(X≤1)=1-P(X=0)=1-P(no lemon)

Here, P(no lemon ) is given by

\dfrac{20}{30}\times \dfrac{20}{30}\times \dfrac{20}{30}=(\dfrac{20}{30})^3

so, it becomes,

P(X\geq 1)=1-(\dfrac{20}{30})^3=1-(0.67)^3=0.70

Hence, the probability that he will get at least one lemon is 0.70.

5 0
3 years ago
A central angle, thata, of a circle with radius 16 inches intercepts an arc of 19.36 inches. Find thata.
kaheart [24]
Theta*
\theta=\frac{19.36}{16}=1.21 radians.
5 0
3 years ago
Read 2 more answers
2. Which of the following methods can't be used to find the zeros of a function?
ser-zykov [4K]

Answer:

The correct option is;

Substitute x = 0 in the function  and solve for f(x)

Step-by-step explanation:

The zeros of a function are the values of x which produces the value of 0 when substituted in the function

It is the point where the curve or line of the function crosses the x-axis

A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,

Therefore, substituting x = 0 in the function  can't be used to find the zero's of a function

B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis

C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function

d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0

5 0
3 years ago
QUESTION TWO Determine whether or not a constant function can be
Sveta_85 [38]
<h3>Answers:</h3>
  • (a) It is <u>never</u> one-to-one
  • (b) It is <u>never</u> onto

=========================================================

Explanation:

The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.

Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.

----------------------------

The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.

With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.

4 0
2 years ago
Other questions:
  • Solve for x in simplest radical form. 2x2 + 2x + 4 = x2 + 6x + 5
    13·1 answer
  • What is - 0.64? square root
    14·2 answers
  • You and your mom enter a drawing with 3 different prizes. A total of 9 people entered the drawing, and prizes are awarded random
    6·2 answers
  • Country A has a growth rate of 4.9​% per year. The population is currently 4 comma 151​,000, and the land area of Country A is 1
    15·1 answer
  • You want to buy a new cell phone. The sale price is $149. The sign says that this is $35 less than the original cost. What is th
    10·1 answer
  • Find the value of x. <br> PLEASE HELP ME!!
    5·1 answer
  • How many triangles can being constructed with three sides measuring 11 meters 16 meters and 26 meters?
    7·1 answer
  • Isabella has 8 beads. Sarah has 12 times as many beads as Isabella. What is the total number of beads that the girls have
    11·2 answers
  • Find the slope by changing form Standard Form to Slope Intercept Form<br> 7x- 8y = -56
    11·2 answers
  • What is d=40 + 428t − 16t2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!