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
dolphi86 [110]
3 years ago
11

Multiple Choice

Mathematics
2 answers:
Zanzabum3 years ago
4 0

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm


Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm


We can solve for x:

x = 90 / 12 = 7.5 cm


Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm


This situation is represented in option A (which is also the only option whose sides add up to 90).



B) Answer: C. never true


We have:

6 + 8x - 9 = 11x + 14 - 3x


Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)


Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9


Combine likely terms:

0x = 17


Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.


Hence, the statement is never true.


C) Answer: r \leq \frac{1}{5}


We have:

5r + 4 ≤ 5


Subtract 4 from both sides:

5r + 4 - 4 ≤ 5 - 4


Combine likely terms:

5r ≤ 1


Divide both sides by 5:

\frac{5r}{5} \leq \frac{1}{5}

r \leq \frac{1}{5}


To graph the set of solutions, you need to set:

y₁ = 5x + 4 and

y₂ = +5


Plot these two lines:

y₂ is a horizontal line at a height of 5;

y₁ is a line passing through (0, 4) and (1, 9)


The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for x \leq \frac{1}{5}.





Agata [3.3K]3 years ago
3 0
1. A 
2. C
3. 5r + 4 ≤ 5 
(5r + 4) + (-5) <span>≤ + (-5)
</span>5r + 4 - 5 <span>≤ 5 - 5</span> 
r ≤ 1/5

You might be interested in
Does the choice of the base affect the area of the triangle?
Finger [1]
No it doesn't because no matter what number you choose as the base you will still be adding the same numbers.
4 0
3 years ago
(-4)^2=
Lunna [17]

Answer:

16

Step-by-step explanation:

raise -4 to the power of 2

=16

6 0
2 years ago
Read 2 more answers
© Suppose you did not know that x had a normal distribution. Would you be
Irina-Kira [14]

Answer:

No.

Step-by-step explanation:

The central Limit Theorem states that the sample size must be greater than 30 for an approximate normal distribution.

6 0
3 years ago
It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.
alexira [117]

Answer: 0.4 meters per hour.

Step-by-step explanation:

The rate of change of distance with respect to time is known as speed.

Formula :\text{Rate of change}=\dfrac{\text{Change in position}}{\text{Change in time}}

Given : It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.8 meters.

i.e. Change in position= 2.8-2=0.8 meters

Change in time = 3-1=2 hours

i.e. \text{Rate of change}=\dfrac{0.8}{2}=0.4

Hence, the rate of change =0.4 meters per hour.

4 0
3 years ago
Read 2 more answers
You run at a pace of 8.5 minutes per mile in a 26.2 mile marathon. How many minutes will it take finish?
algol [13]
8.5 minutes per mile is equivalent to 

17 minutes
----------------
  2 miles

and the reciprocal of that is


2 miles
-----------
17 min

Now multiply 26.2 miles by 

17 min                                   (17 min)* (26.2 mi)
------------ ,    obtaining         ---------------------------
 2 miles                                           2 mi

This simplifies to (17)(26.2)/2 minutes = 222.7 minutes, 

or

222.7 minutes        1 hr
-------------------- * ------------ = 3.7 hours
          1                  60 min
4 0
3 years ago
Other questions:
  • A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. How many sq
    13·1 answer
  • How long does $1250 have to be deposited at a simple interest rate of 2 1/2% before the balance is tripled?
    9·1 answer
  • A circle with circumference 10 has an arc with a 162 degree central angle. What is the length of the arc
    13·1 answer
  • Compare the table and equation.
    8·2 answers
  • A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches
    5·1 answer
  • What is 0.48 times 0.4
    12·1 answer
  • How many integers between 27 and 53 have a remainder of 4 divided by 6
    6·1 answer
  • I have no clue how to solve this can someone help?
    11·1 answer
  • How many 3/8 are in the whole number 3?
    10·1 answer
  • Set up a proportion and solve for x.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!