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
klemol [59]
2 years ago
14

If a : b= 5:8 and a = 20, find b.

Mathematics
2 answers:
ioda2 years ago
7 0

Answer:

32

Step-by-step explanation:

a:b = 5:8 means a/b = 5/8

20/b = 5/8

Cross multiplication will give you b = 32

Talja [164]2 years ago
6 0

Answer:

b = 32

Step-by-step explanation:

20/5 = 4

So for finding b, we have to multiply 8 * 4 which is 32.

You might be interested in
inez waters her plants every two days she trim them every 15 days she did both today when will she do both again
lord [1]


She will do both again in 30 days. 

She waters every two days and 2 is a even number.

She trims her plants every 15 days and 15 is an odd number.

When you add two odd numbers you get an even 15 + 15 = 30

2 × 15 = 30


8 0
3 years ago
HELLPP. ITS URGENT.50 PTS
ICE Princess25 [194]

Answer:

  • 4x² - 13x + 8 = 0
  • 4x² - 11x + 5 = 0
  • 16x² - 41x + 1 = 0
  • x² + 5x + 4 = 0
  • x² - 66x + 64 = 0

Step-by-step explanation:

<u>Given</u>

  • α and β are roots of 4x²-5x-1=0

<u>Then the sum and product of the roots are:</u>

  • α+b = -(-5)/4 = 5/4
  • αβ = -1/4

(i) <u>Roots are α + 1 and β + 1, then we have:</u>

  • (x - (α + 1))(x - (β + 1)) = 0
  • (x - α - 1)(x - β - 1) = 0
  • x² - (α+β+2)x + α+β+ αβ + 1 = 0
  • x² - (5/4+2)x +5/4 - 1/4 + 1 = 0
  • x² - 13/4x + 2= 0
  • 4x² - 13x + 8 = 0

(ii) <u>Roots are 2 - α and 2 - β, then we have:</u>

  • (x + α - 2)(x + β - 2) = 0
  • x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0
  • x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0
  • x² - 11/4x - 10/4 - 1/4 + 16/4 = 0
  • x² - 11/4x + 5/4x = 0
  • 4x² - 11x + 5 = 0

(iii) <u>Roots are α² and β², then:</u>

  • (x - α²)(x-β²) = 0
  • x² -(α²+β²)x + (αβ)² = 0
  • x² - ((α+β)² - 2αβ)x + (-1/4)² = 0
  • x² - ((5/4)² -2(-1/4))x + 1/16 = 0
  • x² - ( 25/16 + 1/2)x + 1/16 = 0
  • x² - 33/16x + 1/16 = 0
  • 16x² - 33x + 1 = 0

(iv) <u>Roots are 1/α and 1/β, then:</u>

  • (x - 1/α)(x - 1/β) = 0
  • x² - (1/α+1/β)x + 1/αβ = 0
  • x² - ((α+β)/αβ)x + 1/αβ = 0
  • x² - (5/4)/(-1/4)x - 1/(-1/4) = 0
  • x² + 5x + 4 = 0

(v) <u>Roots are 2/α² and 2/β², then:</u>

  • (x - 2/α²)(x - 2/β²) = 0
  • x² - (2/α² + 2/β²)x + 4/(αβ)² = 0
  • x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0
  • x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0
  • x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0
  • x² - 2(33)x + 64 = 0
  • x² - 66x + 64 = 0

3 0
3 years ago
Read 2 more answers
True or false and if false what would be the correct term be?
vagabundo [1.1K]
It’s True.. you take the “extreme” variable from each proportion and cross multiply them before setting them equal to the product of the two “means” (which are just the other 2 numbers in the proportions).
3 0
3 years ago
Evaluate: 2x + 5x - 11 = -46
TiliK225 [7]

Answer:

x=-5

Step-by-step explanation:

Combine like terms: 7x-11=-46

Add 11 to -46: -35

Divide: 7x/-35

ANSWER: x=-5

4 0
2 years ago
Compound inequality that represents all the numbers between -4 and 6
KatRina [158]
You can write it as:
-4≥x≤6

*The '≥' and '≤' just means that it is greater than or less than but it can still be equal to the number you are comparing it to.

Hope this helps! :)
6 0
3 years ago
Other questions:
  • Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 10
    6·1 answer
  • Whats 20 divided by one fourth
    11·1 answer
  • Please answer this correctly fill in the missing sequence next to 1
    14·2 answers
  • Find the value of x.<br><br> 70<br> 35<br> 40<br> 80
    7·1 answer
  • Step 1: Choose a point on the line, such as (2, 5). Step 2: Choose another point on the line, such as (1, 3). Step 3: Count unit
    8·1 answer
  • 4 1<br> __ / ( - __ )<br> 5 15
    13·1 answer
  • Please help me out !!!!
    13·1 answer
  • 3 out of five picks are orange . If 12 picks are orange , how many picks are there in all?
    14·1 answer
  • A bicycle wheel makes five rotations. The bicycle travels 43.18 ft. Find the diameter of the wheel in inches. Use 3.14 for π.
    15·1 answer
  • The scatterplot shows the time spent playing a video game and the number of points scored by several students.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!