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Papessa [141]
2 years ago
6

%20%3Ab%20c%3A%20" id="TexFormula1" title="if a : b = 2 : 3 and b : c = 4 : 5 than find a :b c: " alt="if a : b = 2 : 3 and b : c = 4 : 5 than find a :b c: " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
grigory [225]2 years ago
8 0

Answer:

<em>a:b:c=8:12:15</em>

Step-by-step explanation:

<u>Combined Ratio</u>

We are given the ratios:

a:b=2:3

b:c=4:5

The combined ratio a:b:c will include all three variables in one single expression.

Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:

a:b=2:3=(2*4):(3*4)=8:12

b:c=4:5=(4*3):(5*3)=12:15

Now there is a common factor in both ratios, we can combine them removing the common factor:

a:b:c=8:12:15

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Please answer my question bcz I can’t understand
RUDIKE [14]
Please send more context as of the "green numbers".

For the multiplication,

i 49 x 10 = 490
490 ÷ 10 = 49

ii 2.3 <span>÷ 10 = 0.23
0.23 x 10 = 2.3

iii 0.034 x 1000 = 34
34 </span><span>÷ 1000 = 0.034

iv 876 </span><span>÷ 100 = 8.76
8.76 x 100 = 876

Hope this helps :)</span>
3 0
3 years ago
Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat
wlad13 [49]

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

V=\frac{1}{3}\pi r^2h

Where r is the radius and h is the height.

Volume of the cone A:

V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

r_B=2r_A\\r_B=2*2in\\r_B=4in

Then:

V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3

Divide V_B by V_A:

\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

5 0
3 years ago
Read 2 more answers
What is 3x+4= -15? How would you get a negative number?
bulgar [2K]

Answer:

x=-\frac{19}{3}

Step-by-step explanation:

3x+4=-15

3x+4-4=-15-4

3x=-19

\frac{3x}{3}=\frac{-19}{3}

x=-\frac{19}{3}

5 0
3 years ago
Which of the following is the inverse of f(x)=3-x/5?​
pshichka [43]

Answer:

-5x+3 OR 5x-3

Step-by-step explanation:

You find the inverse by replacing the x with the y, and solving for y. Doing this actually gives you -5x+3 but in this case,  the closest answer would be 5x-3.

UPDATE: -5x + 3 can be written as 3 - 5x lol

5 0
2 years ago
Read 2 more answers
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0
3 years ago
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