All categories

3 years ago

Find the ratio a:c if a:b = 1:2, b:d = 4:5, d:c = 3:1

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

$\frac{a}{c}$ = $\frac{a}{b}$ × $\frac{b}{d}$ × $\frac{d}{c}$ = $\frac{1}{2}$ × $\frac{4}{5}$ × $\frac{3}{1}$ = $\frac{12}{10}$ = $\frac{6}{5}$

Thus a : c = 6 : 5

You might be interested in

In the fallowing diagram, it is shown that mEHG is a right angle, mEHF = x+ 1 and mGHF = 5x+5. Find the value of x, the numerica

GalinKa [24]

Answer:

x = 14

EHF = 15 degree GHF = 75 degree

Step-by-step explanation:

(x+1) + (5x+5) = 90

(x+5x)+ (1+5) = 90

6x + 6 = 90

6x = 90-6

6x = 84

x = 84/6

x = 14

EHF + GHF = 90 degree

EHF = x+1

= 14 + 1 = 15

= 15 degree

GHF = 5x+5

= 14 x 5 (+5) = 70 + 5

= 75 degree

EHF = 15 degree GHF = 75 degree

4 0

3 years ago

Among 400 randomly selected drivers in the 16 minus 18 age bracket, 293 were in a car crash in the last year. If a driver in th

professor190 [17]

Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

$p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325$

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a year.

As this value is high, there is reasons to be concerned about it.

4 0

3 years ago

EMERGENCY OOF HELP WITH MATH PIZZZ<br><br> 5 + x^2= 2x^2+ 13<br><br> Provide steps and thanks

galben [10]

Answer:

false statement

Step-by-step explanation:

5+x^2=2x^2+13

5+x^2-2x-13=0

-8+x^2-2x^2=0

-8-x^2=0

-x^2=8

x^2=-8

this statement is false for any value of x because the power function with an even exponent is always postive or 0

4 0

3 years ago

Is x + 7y = -3 and y = 7x + 25 parallel, perpendicular or neither

Alina [70]

Answer:

Perpendicular

Step-by-step explanation:

3 0

3 years ago

if two events have the probability which sum to 1 they are called ______ events (hint:it starts with co.)

MariettaO [177]

................... . . . ..... .. ... . .

6 0

3 years ago

Read 2 more answers

Find the ratio a:c if a:b = 1:2, b:d = 4:5, d:c = 3:1​

Find the ratio a:c if a:b = 1:2, b:d = 4:5, d:c = 3:1