Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c

Answers

Answer 1

Answer:

a : b : c = 9 : 15 : 20

Step-by-step explanation:

Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.

Therefore,

[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]


Related Questions

Please help me this is important to my grade

Answers

Answer:

C. x = 6

Step-by-step explanation:

2*6 + 4 = 16

what is a decimal in mathematics

Answers

Answer:

a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Step-by-step explanation:

The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?

Answers

Answer:

N'O' = 25

Step-by-step explanation:

N'O' = 5 × NO = 5 × 5 = 25

h(-3), h(5), h(2), h(0)

h(x) = {x+1, x<2
{2x-1, x>2

Solve these:

h(-3) =
h(5) =
h(2) =
h(0) =

Answers

Answer:

h(-3) = -3h

h(5) = 5h

h(2) = 2h

h(0) = 0

The function f is defined by the following rule

f(x)=3x-3

Complete the function table

x f(x)
-5
-1
1
2
4​

Answers

Answer:-18

-6

0

3

9

Step-by-step explanation:

What is the measure of ∠PCB?

75 degrees

18 degrees

33 degrees

144 degrees

Answers

Answer:

3rd Option, 33° = ∠PCB

Step-by-step explanation:

First find the measure of ∠CPB;

∠CPB = 180 - 105

∠CPB = 75

Now we can find the measure of ∠PCB;

180 - (Angle 1 + Angle 2)

180 - (75 + 72)

33 = ∠PCB

Hope this helps!

Which numbers line correctly shows 4.5 - 2.5.? HELP FAST!!!

Answers

Answer:

Step-by-step explanation:

The answer would be the first option because it’s starting at 4.5, and if you subtracted 2.5, you would get the answer of 2, and that’s what the first option shows. Hope this helps!

I need help to find the value of X?

Answers

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

equation 3x + 2y = 2 name solution as ordered pair

Answers

Answer:

(0,1) (1,-1/2), (2,-2)

Step-by-step explanation:

Identify the following fractions as either proper or improper. 8. 14⁄ 15

Answers

Answer:

proper I believe if I'm wrong sorry

If the line through (-2,4)and ) 5,D)is parallel to the graph of y= 3X +4 find the value of d

Answers

Answer:

D = 25

Step-by-step explanation:

For 2 lines to be parallel, they must have the same sloe;

Given the coordinates (-2,4)and (5,D)

Slope = D-4/5-(-2)

Slope = D-4/5+2

Slope = D-4/7

Given the equation y = 3x + 4, comparing to y = mx+b

mx = 3x

m = 3

Hence the slope is 3

Equating the slopes

D-4/7 = 3

D-4 = 3*7

D-4 = 21

D = 21+4

D = 25

Hence the value of D is 25

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration -
a, over time, t. Which is an equivalent equation solved for a?
Ofv=a
10-v=a
O a
(+v=a
o {+v=a

Answers

Answer:

A

Step-by-step explanation:

f = v + at

f - v = at

(f-v)/t = a

Answer:

(f - v) / t = a

Step-by-step explanation:

Solving for the equation for a means taking all integers or values on the other side of the equation for a

To do this we must do it mathematically.

f = v + at

f - v = at

(f - v) / t = a

If the zeros of a parabola are at x = 4 and x = -2 what could be the equation of the parabola?

Answers

Answer:

the equation would be: y=(x-4)(x+2)

properties of parallelograms
PLEASE HELP

Answers

Answer:

m∠Q = 109°

m∠QRT = 109°

x = 4

Step-by-step explanation:

1). "Opposite angles of a parallelogram are equal"

By this property,

m∠Q = m∠S = 109°

2). "Opposite sides of a parallelogram are parallel and equal in measure"

By this property,

RQ║ST and diagonal RT is a transversal line.

m∠QRT = ∠SRT = 30° [Alternate interior angles]

3). "Opposite sides of a parallelogram are parallel and equal in measure"

RS = QT

2x = 8

x = 4

Daniel had $30 to spend at the fair admission to the fair is $7 and rides cost $1.50 each write and equality that represents Daniels situation

Answers

Answer:

1.5x + 7 < 30

Step-by-step explanation:

Let x = number of rides.

The total cost is

1.5x + 7

The inequality is

1.5x + 7 < 30

Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations:
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to test if these thermometers seem to be measuring the same temperatures. Let's use the threshold.
(a) Write down the appropriate hypothesis tests for β1.
H0: β1(≠ / = / > / <) 1 and Ha: β1( ≤ / = / > / ≠ / ≥ / <) 1.
(b) The test statistic is____.
(c) The p-value is____.
(d) Therefore, we can conclude that:_____.
1) The data provides evidence at the 0.1 significance level that these thermometers are not consistent.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
3) The probability that the null hypothesis is true is equal to the p-value.
4) The probability that we have made a mistake is equal to 0.1.

Answers

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is  alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493      ( β=1 given)

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

4. Solve the logarithmic equation for X:
log(x) -log(4) = 3

Answers

Answer:

X=7

Step-by-step explanation:

what is 2/5 times 30 equal in simplets form

Answers

Answer:

2/5 times 30 equals 12.

Answer:Step-by-step explanation:

Please help will give brainlyist

Answers

Number 11
Since the auditorium can hold 600 and the student body will be divide by four parts
The answer is
x ≤ 2400

(-2)(-2)(-2)(-2) in exponential form

Answers

Answer:

[tex] (-2)^{4} [/tex]

Step-by-step explanation:

(-2)(-2)(-2)(-2)

The base is -2.

There are 4 factors of -2, so the exponent is 4.

[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]

4) A bowl contains 8 red balls and 7 blue balls. One is drawn at random
and not replaced. A second ball is then drawn. What is the probability
that the first ball is blue and the second is red?

Answers

First ball blue: 7/15
Second red: 8/14

Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area

Answers

Answer:

a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]

b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]

Step-by-step explanation:

a) Lateral area of the figure = 2[tex]\pi[/tex]rh

where; r is the radius of the cylinder, and h is its height.

Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32

                                          = 2011.43 [tex]cm^{2}[/tex]

b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)

                                 = 2[tex]\pi[/tex]r(r + h) - (b x h)

The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]

100 = 36 + [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 100 - 36

   = 64

h = [tex]\sqrt{64}[/tex]

  = 8

h = 8 cm

The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8

                                                = 2640 - 96

                                                = 2544

The surface area of the solid is 2544 [tex]cm^{2}[/tex].

Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.

Use a thousands comma where applicable.

1. the company's percentage
%
2. the total premium $
3. the company's payment $

Answers

Answer:

I think the answer is 1,466.50

Would you eat more calories having a package of M&Ms or TWO servings of Twizzlers.

Answers

Answer:

As per the USDA's M&M's nutrition facts, a single candy contains 3.4 calories, while one package provides 236 calories, 2 grams of protein and more than 30 grams of sugar.

There are 160 calories in 4 sticks (45 g) of Twizzlers Twizzlers

you would eat more calories with M&M's g

Solve the inequality
x/2 > 1.52

Answers

Answer:

x> 3.04

Step-by-step explanation:

See The Image below:)

Please solve this for me. I will mark you branliest if you gave me the best explanation to your answer.




For every $6 spent at a shop, the owner will donate $2 to charity. The
total amount of money donated to the charity was $56. What is the
least possible amount of money that was spent at the shop?​

Answers

Answer:

$168

Step-by-step explanation:

Divide $56 by $2

$56 ÷ $2 = 28

Thus $2 was donated 28 times

He donated $2 every time $6 was spent, then

money spent = 28 × $6 = $168

Answer:

$168

Step-by-step explanation:

We have the following ratio

Spent at shop : donated to charity

6:2

we know that

x:56

To solve this we just mulitply 6 by 28 (28 because this is what we mulitplied the two in our original ratio to reach 56)

6*28=168

Who’s can help me with this, it is to hard

Answers

Answer:

x = 10

MB = 16

CM = 16

CB = 32

Step-by-step explanation:

Since it's the mispoint

2x - 4 = x + 6

Subtract x from both sides

x - 4 = 6

Add 4 to both sides

x = 10

MB = 2x - 4

MB = 20 - 4

MB = 16

CM = x + 6

CM = 16

CB = 16 + 16

CB = 32

There are 67 rabbits in the garden. Round 67 to the nearest 10.

Answers

Answer:

70

Step-by-step explanation:

1-4 rounds down

5-9 rounds up

70

hope this helps!!!

A new car is purchased and a $30,000 loan is taken. The loan is for 7 years (84 months) and
the interest rate is 2.9% compounded monthly. What is the monthly payment?

Answers

Answer

around $250 per month

Step-by-step explanation:

the product of a number and 5 is increased by 12 the result is 32 find the number​

Answers

Answer:

4

Step-by-step explanation:

First, to get just the multiplication equation, we need to do,

32-12 = 20

20/5 = 4

The number is 4.

Now let's check our work.

4x5+12=32

The answer is 4.

The required number is 4.

Let the number be x.

Given, the product of x and 5 increased by 12 gives 32.

So in equation form,

[tex]5x+12=32\\[/tex]

Subtracting 12 from both the sides,

[tex]5x+12-12=32-12[/tex]

[tex]5x=20\\\\[/tex]

[tex]x=\dfrac{20}{5}[/tex]

Or, [tex]x=4[/tex]

Hence the required number is 4.

For more details follow the link:

https://brainly.com/question/10439298

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