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
masya89 [10]
3 years ago
5

No-freeze antifreeze mixture contains 30% alcohol. How much alcohol is there in 15 quarts of anti-freeze?

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Answer:

15 * 30% = 4.5 quarts


Step-by-step explanation:


saveliy_v [14]3 years ago
5 0

Answer:

<em>4.5 qt</em>

Step-by-step explanation:

30% of 15 qt is alcohol.

30% * 15 qt = 0.3 * 15 qt = 4.5 qt

You might be interested in
A person walked x feet and half that length again
hjlf

Answer:

3/2x

Step-by-step explanation:

x feet and half x = x+1/2x or 3/2x

Hope this helps plz hit the crown :D

4 0
3 years ago
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0
2 years ago
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local sta
valentinak56 [21]

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

<u>Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.</u>

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

<u>So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles. </u>

<u>So, McDonald's is out of range of the radio station.</u>

5 0
3 years ago
What is 6 squared ÷2(3)+4
julsineya [31]
6^{2} /2*3 +4 \\ 36/2*3+4 \\ 18*3+4 \\ 54+4 \\ 58
Hope this helps!
7 0
3 years ago
Please help ASAP it is about triangles
TiliK225 [7]

2x+3+51=4x+8 ( external angle =the sum of two opposite internal angles)

2x+54=4x+8

46=2x

x=23

4x+8=92+8=100 degrees

2x+3=46+3=49 degrees

3 0
3 years ago
Other questions:
  • Which of the following represents a linear function?
    15·1 answer
  • In the diagram below, AB and BC are tangent to O. What is the measure of angle B?<br>APEX
    9·2 answers
  • What would be the best graph or display to represent your home library statistics data why
    12·1 answer
  • Complete these ordered pairs for this equation.<br> (0, ), (2, ), ( ,3)3x-2y=6
    5·1 answer
  • The value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai
    5·1 answer
  • Find the value of x?<br><br><br><br><br> - 4<br><br><br> - 7<br><br><br> - 6<br><br><br> - 5
    5·2 answers
  • I need Helppppppppppppppp with this
    13·2 answers
  • PLEASE HELP I've tried over 2 times and failed please help.
    15·1 answer
  • Plz help guys I need help
    11·1 answer
  • When graphed in the (x,y) coordinate plane, at what point do the lines x - y = 12
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!