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
solong [7]
3 years ago
6

Hi I really need help with a and b. thank you

Mathematics
1 answer:
Len [333]3 years ago
6 0
A) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number. 
\frac{27}{45} = \frac{x}{5}

Next, you would cross multiply. 
135 = 45x

Now, the last step would be to isolate the x. To do this, you would divide both sides by 45. 
3 = x

\frac{27}{45} = \frac{3}{5}

b) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number. 
\frac{2}{6} = \frac{3}{x}
Next, you would cross multiply. 
18 = 2x

Now, the last step would be to isolate the x. To do this, you would divide both sides by 2. 
9 = x

\frac{2}{6} =\frac{3}{9}

I hope this helps!
You might be interested in
4x+3y how to solve this question and why is it such a small question
Law Incorporation [45]
I need help on that do you know the answer
4 0
3 years ago
A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc
seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

t=\frac{d}{s}

we have

d=963\ mi

s=60\ mi/h

substitute

t=\frac{963}{60}=16.05\ hours

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

30\ minutes=0.50\ hours

16.05+0.50=16.55\ hours

Convert to minutes

16.55\ h=16.55(60)\ min=993\ min

step 3

Remember that

8 p.m=20:00\ hrs

Convert to minutes

20(60)=1,200\ min

Subtract 993 minutes from 1,200 minutes

1,200-993=207\ min

Convert to hours+minutes

207\ min=207/60=3.45\ hours

0.45\ h=0.45(60)=27\ min

so

3\ h+27\ min

00:00 + 03:27=03:27\ am

therefore

The train need to leave Portland at 03:27 am

8 0
3 years ago
Susan’s stylist has done a great job of coloring her hair. She wants to leave a 20 percent tip. If the bill was $150, how much s
irina [24]
0.20(150) = 30....her 20% tip would be 30 bucks
6 0
3 years ago
Read 2 more answers
Assume that the following events are independent: • probability that a randomly selected person has red hair is 0.14 • probabili
erastovalidia [21]
I think the answer is C.
3 0
2 years ago
Read 2 more answers
Other questions:
  • Which equation is correct?
    7·1 answer
  • 0.007 is 1/10 as much as
    8·1 answer
  • Pleas answer it in two minutes
    15·1 answer
  • You have a 27 inch long table. You wanted to buy a 52 inch TV. Does the TV fit on the stand? Explain how you got the answer. Use
    7·1 answer
  • When a number is a multiple of another, the GCF of the numbers is the greater of the numbers. Is this always, sometimes, or neve
    14·1 answer
  • What is the direct linear variation equation for the relationship?
    5·1 answer
  • Given f(x) = -x – 1, solve for a when f(x) = 6.
    10·1 answer
  • Somebody please explain this to me and help me!!!
    13·2 answers
  • Can the side of a triangle have lengths 4, 6, and 10?
    6·1 answer
  • (9x^(2)+4x+2)-:(3x+x-2)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!