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]
2 years ago
11

Multiple Choice

Mathematics
2 answers:
Zanzabum2 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]2 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
Please help I'll mark brainliest
Damm [24]

Answer:

okay...... where is the question

6 0
3 years ago
Read 2 more answers
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand
velikii [3]

Answer:

h(x) = 57(0.8)^x

Step-by-step explanation:

Given

f(x) = 32(0.8)^x

g(x) = 25(0.8)^x

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

h(x) = f(x) + g(x)

h(x) = 32(0.8)^x + 25(0.8)^x

Factorize

h(x) = (32 + 25)(0.8)^x

h(x) = 57(0.8)^x

6 0
2 years ago
A map of a town was made using a scale factor of 1 inch =1/2 mile. On the map, Sonja measures that her house is 3 inches away fr
NikAS [45]

Answer:

1.5 miles

Step-by-step explanation:

According to the scale, we can simply multiply the distance that Sonja measured on the map by the actual mile distance that it states on the scale (1/2 or 0.5) to calculate the actual distance between Sonja's house and Sal's house like so...

3 * 0.5 = 1.5 miles

Therefore, we can see now that there is a total actual distance of 1.5 miles between both of their houses, which is represented as 3 inches on the map.

3 0
2 years ago
A gallon can of paint holds 8 pints. The label says it will cover 400 square feet.
iren [92.7K]
I think it is B. 50 feet
6 0
3 years ago
Read 2 more answers
How would you solve 85% of 40
kykrilka [37]
85% of 40. 

85/100 = .85

.85 * 40 = 34

Answer: 34
5 0
3 years ago
Read 2 more answers
Other questions:
  • I need help understanding ALL these problems. Any help would be great!
    14·1 answer
  • Which equation is equivalent to the given equation?
    8·1 answer
  • A pediatrician wishes to study how the average weight Y (in kilograms) of children changes during the first year of life. He plo
    9·1 answer
  • Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
    8·1 answer
  • Can guys please help me, please solve E
    5·1 answer
  • What is 5 divided by 1 4/7
    10·1 answer
  • Charles sells computer hardware for a computer manufacturer. He is paid 4% for
    14·1 answer
  • Find the surface area of the composite solid.
    7·1 answer
  • Please help, lots of points thirty seven
    13·1 answer
  • Determine which, if any, of the three statements are equivalent.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!