Mathematics High School

3
If a:b = 2:5 and b:c = 3:4, find (i) a:c (II) a:b:c
​

Answers

Answer 1

Answer:

(i) 3:10

(ii) 6:15:20

Step-by-step explanation:

a : b

2 : 5

b : c

3 : 4

Since both values of b in the two ratios are different, we need to multiply each ratio so that they are the same. I will multiply the first ratio by 3 and the second ratio by 5 so that b = 15 units.

a : b

6 : 15

b : c

15 : 20

Now that both values of b are the same, we can arrange the variables a, b and c together.

Thus:

a : b : c

6 : 15 : 20

a : c

6 : 20

3 : 10

Related Questions

Complete the equation of the line through (3,-1) and (4,7)

Answers

firstly , we must find the gradient.

gradient, m = y2 - y1 / x2 - x1

m = 7 - (-1) / 4 - 3
m = 8

a straight line is y=mx+c
thus, we have to find the c which is y-int by subs one of the coordinate to the equation.

y=mx + c
7=8(4) + c
c = -25

thus the equation is y = 8x - 25




The answer would be Y=8x-25

what is 5+5 please ​

Answers

The answer to 5+5 is:10

Answer: 5+5=10

Step-by-step explanation: 11111 and 11111= 1111111111 combined gives you 10

f(x) = -x^2 + 6x + 4 find f(-7)

Answers

Answer:

11

Step-by-step explanation:

-(-7)^2 + (6*-7) + 4

7^2 + (-42) + 4

49 - 42 + 4 = 11

If anyone could answer this it would be great!!

Answers

Answer:

27/8

Step-by-step explanation:

first you would convert -.5 to -1/2 and add everything up by getting the same denominator

Answer:

3.375

Step-by-step explanation:First convert the 2 1/4 and the 1 5/8

then you just add it with the 0.5 or just use a calculator  

2 1/4 = 9/4

1 5/8= 13/8

okay now do this ---> 0.5 + 9/4 +13/8 =3.375

help ;-; Im almost overdue and I'n only on Q.13/24

My teacher is gonna kill me, this is the third assignment that's gonna be overdue​

Answers

Answer: C (-7/18)

Step-by-step explanation: you flip the denominator and numerator and keep the negative

C is the correct answer you flip the numbers around

Is (6,8) a solution to this system of equations?

Answers

It’s false, the second one is two and the first one is six

I will pick brainiest if you have the correct answer.

Answers

Answer: y=-6=-3(x-4)

Step-by-step explanation:

The correct is Y=-6=-3(x-4)
Good luck

Solve the system by graphing: y = 3x +1 and y = 5x-3

Answers

Answer: 1: slope = 3, y=01

2=slope=5 y=0,-3

Step-by-step explanation:

is either x = 18 or x = 14 a solution to x - 8 < 9?

Answers

Answer:

A.

Step-by-step explanation:

Answer:

B. Neither is a solution

Step-by-step explanation:

x - 8 < 9

  + 8 + 8

     x = 17

A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond?
A 10 feet
B. 12 feet
C. 19 feet
D. 29 feet

Answers

Answer:

C. 19 feet

Step-by-step explanation:

Circumference formula 2πr= 2π(3)= 18.85. Round up to 19 feet

How do you get the equation of the line in fully simplified slope-intercept form?​

Answers

Answer:

y= -2/5 x -4

Step-by-step explanation:

So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:

m=(y2 - y1 )/(x2 - x1)

If you were using the points, (-10,0) and (0, -4) the equation would be:

m=(-4-0) / (0+10)

So, m= -2/5

The equation of the line would end up being:

y= -2/5 x -4

What is the simplified form of each expression? 2x + 5x + 4x​

Answers

Answer:

2x + 5x +4x (since none of them have exponents, they're all like terms. you add them as if the x wasn't even there, it just trails along.)

11x is your answer :)

Step-by-step explanation:

Answer: [tex]11x[/tex]

Step-by-step explanation:

Collect Like Terms:

[tex]2x+5x+4x[/tex]

[tex](2+5+4)x[/tex]

Calculate the Sum

[tex](11)x[/tex]

Please mark brainliest if this helped you :)

What is the value of n?
3.4 x 107 = (2x 104)(1.7 x 10")
The value of n is

Answers

Answer:

n=3

Step-by-step explanation:

3.4(107)=2(104)(1.7(10n))

n=3

Which expression represents 8 less than 3 times a number?

3n-8
8-3n
3-8n
3-8

Answers

Answer:

I'm pretty sure its b but I'm not sure I'm sorry if it's wrong

The answer is  A.) 3n - 8

state the equation of the line in y = mx + b form.

Answers

Your slope is wrong! Your slope is going to be 3/2, or C for the first problem. Your y intercept is wrong! Your Y- intercept is actually (0, -1.3) or B for the second problem.
Your equation is going to be
y= 3/2x-1.3

Help me with this pls

Answers

Answer:

55

Step-by-step explanation:

2x+5 x-5 combine these to get 3x

then you would divide 180 by 3

so u would get 60 = x

60-5 =55

I thank it's 55 It wont let me post it because its too short

3x + 9 = -45 step by step please

Answers

Answer:

x=- 18

Step-by-step explanation:

3x+9= -45

3x=-45-9

3x=-54

x=-54/3

x= -18

what is the percent increase from 37.7 to 75.4

Answers

Answer:

37.7

Step-by-step explanation:

37.7+37.7=75.4

I NEED HELP ASAP!!!!!!!!!!

Answers

Answer:

? = 5 cm

Step-by-step explanation:

∠ E and ∠ D are congruent, thus the triangle is isosceles and the 2 sides will be congruent, that is

? = 5 cm

5 cm they are equal jdnddbfnfn

If A=[-2 -8 -9]
[-5 7 5]
[-4 -8 7]
And B=[9 -9 6]
[2 -1 -3]
[-4 -1 6]
Find A - B

Answers

The answer will be (d)
Hope this helped

Answer:

[tex]\huge\boxed{A-B=\left[\begin{array}{ccc}-11&1&-15\\-7&8&8\\0&-7&1\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]A-B=\left[\begin{array}{ccc}-2&-8&-9\\-5&7&5\\-4&-8&7\end{array}\right] -\left[\begin{array}{ccc}9&-9&6\\2&-1&-3\\-4&-1&6\end{array}\right] \\\\=\left[\begin{array}{ccc}-2-9&-8-(-9)&-9-6\\-5-2&7-(-1)&5-(-3)\\-4-(-4)&-8-(-1)&7-6\end{array}\right] \\\\=\left[\begin{array}{ccc}-11&1&-15\\-7&8&8\\0&-7&1\end{array}\right][/tex]

The combined weight of three cubes is shown below.



How many pounds would 24 cubes weigh if there are 16 ounces in 1 pound?

Answers

Answer: 6 pounds

Step-by-step explanation:

HELP PLZ!! NOW!!!!! IM SLEEPY!!!!!!

Answers

Answer:

CHRISTMAS TREES

Step-by-step explanation:

for each number in the matrix, start by subtracting 1, then divide the number you got by 2

Expressions and Equations Unit Review
Solve
3w-4-w+4
2 2x - 3 - 26- x) + 7x
3 3(
33x) = 2(x+3) 30
4r + 3 = 4x 12

Answers

makee me your freind

make it to the meeting

A tree ls 4 1/2
feet tal. It is expected to grow by 1 3/4 feet per year. At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.

Answers

Answer:

20 year and 1.5 months

Step-by-step explanation:

The U.S. Flag has 50 white stars, 6 white stripes, and 7 red stripes. What is the relationship between stars and total stripes?

Answers

Answer:

The relationship between stars and total stripes are 50 : 13.

Step-by-step explanation:

When you add all the stripes, it equals 13. There are 50 stars so this is the answer.

Answer:

There are 50 stars for the 50 states of the US today, the 13 (6+7) stripes are for the original 13 colonies.

How to write in slope-intersect form -3/2, b: -5

Answers

Answer:

y=-3/2x-5

Step-by-step explanation:

You put the slope in front of the x. then add the y-intercept(b) to the end

slope-intercept form: y=mx+b

- Hermione is driving through Canada and she sees a sign that says construction ahead at
4,500 meters. How many kilometers before she hit road construction?
A.) 4.5 km
B.) 45 km
C.)4,500 km
D.) 0.045 km

Answers

Answer:

A

Step-by-step explanation:

1km=1000m

4500 divided by 1000 is 4.5

Using y=6-3x plot the ordered pairs from the table then graph the function represented by the ordered pairs and tell whether the function is linear or nonlinear

PLS ANSWER FAST ITS DUE IN 10 mins

Answers

Answer:

9 , -9, -15, -21

Step-by-step explanation:

6-3x-1=-9

6-3x1=9

6-3x3=-15

6-3x5=-21

What is the sign of the quotient of two numbers with opposite signs?

Answers

Answer:

negative

Step-by-step explanation:

if they have the same signs then they are positive if they have different signs then they will be negative

CAN SOMEONE HELP WILL MARK BRAINLIEST ‼️‼️

Answers

Answer:

yeah sure i got you, whats the question?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

i can because i am super smart

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