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
kobusy [5.1K]
3 years ago
10

Select all ratios equivalent to 15:5. 9:3 6:2 3:1

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3,  so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

You might be interested in
Matt is standing on top of a cliff 305 feet above a lake the measurement of the angle of depression to a boat on the lake is 42
sashaice [31]

Answer:

The boat is approximately 338.74 feet from the base of the cliff. If the problem suggests rounding to the nearest whole number, you should use 339 ft.

Step-by-step explanation:

Let's draw the right angle triangle associated with the problem (see attached image). Notice that the 305 ft height corresponds to the "opposite side" to the given acute angle of 42^o, and that the distance we need to find is the "adjacent" side to the given acute angle. Therefore, the appropriate trigonometric function to use is the "tangent", given that from it we can solve for the unknown adjacent side "x":

tan(42^o)=\frac{opposite}{adjacent} \\tan(42^o)=\frac{305}{x}\\x=\frac{305}{tan(42^o)}\\ x=338.74\,\, ft

5 0
3 years ago
4. Which box-and-whisker plot matches the data? 20.32. 19. 12, 28, 34. 29. 36. 20. 15.50.17​
makvit [3.9K]

Answer:

kn/k

Step-by-step explanation:

n

5 0
3 years ago
Find the formula for an exponential function that passes through the two points give.
Ksenya-84 [330]

Answer:

y=3(2)^{x}

Step-by-step explanation:

Given.

Two points are given.

(x, y)=(-1,\frac{3}{2}) and (x, y)=(3,24)

An exponential function is in the general form.

y=a(b)^{x}-------(1)

We know the points  (-1,\frac{3}{2}) and (3,24)

put the first point value in equation 1

\frac{3}{2}=a(b)^{-1}

\frac{3}{2}=\frac{a}{b}

a=\frac{3}{2}\times b--------(2)

put the second point value in equation 1

24=a(b)^{3}----------(3)

Put the a value from equation 2 to equation 3

24=\frac{3}{2}\times b(b)^{3}

b^{3+1}=\frac{24\times 2}{3}

b^{4} = 16\\b=\sqrt[4]{16} \\b=2

Put the b value in equation 2

a=\frac{3}{2}\times 2

a=3

Put the a and b value in equation 1

y=3(2)^{x}

So, the exponential function that passes through the points  (-1,\frac{3}{2}) and (3,24)) are y=3(2)^{x}.

6 0
3 years ago
Name the angles that are complements to SWT
zlopas [31]
Two angles are said to be complementary, if the sum of the two angles is 90 degrees.

Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.

From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.

Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.

Therefore, the complementary angles to angle SWT are angle USP and angle TSV.
7 0
3 years ago
Read 2 more answers
A circle has a circumference of 7.85 yards what is the diameter of the well
Vsevolod [243]
2.5 yds
C=2πr
d=2r
Solving ford
d=C
π=7.85
π≈2.
4 0
3 years ago
Other questions:
  • Two inches equal approximately how many centimeters?
    5·1 answer
  • Two trucks leave a factory at the same time. One travels east at 60 miles per hour, and the other travels west at 30 miles per h
    5·1 answer
  • What is the slope of the line?
    11·1 answer
  • ANSWER PLZ QUICK AND FAST
    9·1 answer
  • Let’s say that you put a cup of cold water in one room and a cup of hot water in another room. Both rooms are room-temperature.
    13·1 answer
  • What is the value of x?
    5·1 answer
  • X!<br> (x+2) 37°<br> 13<br> 14<br> [ ? ]
    13·1 answer
  • Ax=b(c+x) make x the subject of the formula
    6·1 answer
  • F(x)=x4−6x3+54x−81given that 3and −3are zeros
    7·1 answer
  • I need help I’m stuck
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!