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
qaws [65]
3 years ago
8

Are the following two ratios proportional?

Mathematics
1 answer:
aalyn [17]3 years ago
6 0
8 Broken toys : 42 total toys = 1 Broken toy : 6 total toys

20 Broken toys : 105 total toys = 4 Broken toy = 21 total toys.

Answer: No: They are not proportional.
You might be interested in
25 seats in his classroom and 25 students. He wants to know how many seatting arrangements there are. How would you solve
Kipish [7]
He needs to have 5 rows of 5 seats if there will be 25 people because 5 x 5 = 25
4 0
3 years ago
Use the factor theorem to determine whether or not the first polynomial is a factor of the second
krok68 [10]

Answer/Step-by-step explanation:

Based on the factor theorem, a polynomial, x - a, is said to be a factor of another polynomial, f(x), if an only if f(a) = 0.

Using this theorem, let's determine whether each of the given first polynomial, is a factor of the second polynomial.

1. x - 1; x² + 2x + 5

By the factor theorem, x - 1 will be a factor of f(x) = x² + 2x + 5, if and only if f(1) = 0.

f(1) = 1² + 2(1) + 5

= 1 + 2 + 5

= 8

Since f(1) ≠ 0, therefore the first polynomial, x - 1, is NOT a factor of the second polynomial, x² + 2x + 5.

2. x + 1; x³ - x - 2

By the factor theorem, x + 1 will be a factor of f(x) = x³ - x - 2, if and only if f(-1) = 0.

f(1) = -1³ - (-1) - 2

= -1 + 1 - 2

= -2

Since f(-1) ≠ 0, therefore the first polynomial, x + 1, is NOT a factor of the second polynomial, x³ - x - 2.

3. x - 4; 2x³ - 9x² + 9x - 20

By the factor theorem, x - 4 will be a factor of f(x) = 2x³ - 9x² + 9x - 20, if and only if f(4) = 0.

f(4) = 2(4)³ - 9(4)² + 9(4) - 20

= 128 - 144 + 36 - 20

= 0

Since f(4) = 0, therefore the first polynomial, x + 4, is a factor of the second polynomial, 2x³ - 9x² + 9x - 20.

4. a - 1; a³ - 2a² + a - 2

By the factor theorem, a - 1 will be a factor of f(a) = a³ - 2a² + a - 2, if and only if f(1) = 0.

f(1) = 1³ - 2(1)² + 1 - 2

= 1 - 2 + 1 - 2

= -2

Since f(1) ≠ 0, therefore the first polynomial, a - 1, is NOT a factor of the second polynomial, a³ - 2a² + a - 2.

5. y + 3; 2y³ + y² - 13y + 6

By the factor theorem, y + 3 will be a factor of f(y) = 2y³ + y² - 13y + 6, if and only if f(-3) = 0.

f(-3) = 2(-3)³ + (-3)² - 13(-3) + 6

= -54 + 9 + 39 + 6

= 0

Since f(-3) = 0, therefore the first polynomial, y + 3, is a factor of the second polynomial, 2y³ + y² - 13y + 6.

7 0
3 years ago
Solve for 2a:<br> a + 6 = 3a + 2<br> 2a
rosijanka [135]

Answer:

Break down the problem into these 2 equations.

a+6=3a+2

a+6=3a+2

a+6=2a

a+6=2a

Solve the 1st equation: a+6=3a+2a+6=3a+2.

a=2

a=2

Solve the 2nd equation: a+6=2aa+6=2a.

a=6

a=6

Collect all solutions.

a=2,6

a=2,6

Step-by-step explanation:

6 0
3 years ago
Helpppp 2x-1&gt;5 and 3x-5&lt;19
maria [59]

Answer:

3 < x < 8

Step-by-step explanation:

Solve each part separately

2x - 1 > 5 ( add 1 to both sides )

2x > 6 ( divide both sides by 2 )

x > 3 , that is

3 < x

and

3x - 5 < 19 ( add 5 to both sides )

3x < 24 ( divide both sides by 3 )

x < 8

Then putting the two together

3 < x < 8

6 0
2 years ago
A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues
grandymaker [24]

Answer:

10 lbs

Step-by-step explanation:

7 qts x 5 qts  = 35 qts broth

2 lbs x 5 lbs = 10 lbs barley

8 0
3 years ago
Other questions:
  • What is the value of x in the equation x+x+2 divided by 4 equals 189.5
    8·1 answer
  • Sarah predicts that 15 percent of all the birds she spots while bird watching will be robins. At the end of the day, she records
    12·1 answer
  • Determine the solution set of (x-3)^2=49
    6·1 answer
  • The sales tax on a $350 computer is $22.75. find the sales tax rate
    15·1 answer
  • Which graph represents the parametric equations x(t) = t + 3 and y(t) = t2 – 1 for –1 ≤ t ≤ 3?
    7·2 answers
  • Tickets are arranged from 1 to 25 at a ticket counter. if one of the tickets is drawn at random whag is the probability that the
    5·1 answer
  • Pls Help (Interpret constant of proportionality's) I have lost all my brain cells and have no idea what to do
    5·2 answers
  • Solve 5x=80. (Round to three decimal places.)
    12·2 answers
  • Evaluate the integral, show all steps please!
    11·1 answer
  • Write a rule to describe each transformation please I need help asp
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!