if 3/4 part of the distance between two places is 45 km find the distance between the places.​

Answers

Answer 1

Let distances be x

ATQ

[tex]\\ \rm\hookrightarrow \dfrac{3}{4}x=45[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{3x}{4}=45[/tex]

[tex]\\ \rm\hookrightarrow 3x=45(4)[/tex]

[tex]\\ \rm\hookrightarrow 3x=180[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{180}{3}[/tex]

[tex]\\ \rm\hookrightarrow x=60[/tex]


Related Questions

The GCF of two numbers is 3.

Their LCM of the two numbers is less than 20.

Which could not be the two numbers?

Answers

Answer:

Step-by-step explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60

[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]

7. You are on a field trip. You have to travel 73 miles to reach
your destination. You have traveled 29 miles so far. How
much further do you have to travel?
10 marbles.

Answers

Answer:

44

Step-by-step explanation:

Take the miles you already traveled and subtract it from the total.

73-29=44

4. Your first six-month auto insurance premium was $729.00. Based on your good
driving record, your renewal premium is $648.81. What percent decrease did you see
in your premium? (2 points)
I

Answers

Answer: 11%

Step-by-step explanation:

729-648.81=80.10

What percent is 80.10 of 729

%/100 = is/of (this may help you)

X/100 = 80.10/729 (cross multiplication)

(80.19*100)/729 =

11%

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

Step-by-step explanation:

Here is a `5`-by-`8` grid.



Create a design so that there are `3` times as many unshaded squares as there are shaded squares.

Answers

x = number of shaded squares

3x = number of unshaded squares

This is because there are 3 times as many unshaded squares compared to shaded

unshaded = 3*(shaded)

Since there are 5*8 = 40 squares overall, this means,

shaded+unshaded = 40

x+3x = 40

4x = 40

x = 40/4

x = 10

There are 10 shaded squares and 3x = 3*10 = 30 unshaded squares.

So you'll shade in 10 squares in any fashion you prefer.

A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

The forest will cover an area of approximately 2994 square kilometers after 10 years.

Step-by-step explanation:

A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.

We can write an exponential function to represent the situation. The standard exponential function is given by:

[tex]\displaystyle f(x) = a(r)^x[/tex]

Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).

Since the original area is 5000 square kilometers, let a = 5000.

Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.

Thus, our function is:

[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]

Then after 10 years (x = 10), the area will be:

[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]

In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.

Determine the supplement of each angle measure.
63°

Answers

Answer:

117 is the answer of your questions

Step-by-step explanation:

supplement=180

given angle=63

180-63=117

what is the constant of the proportionality in the equation y = 7x

Answers

Answer:

7

Step-by-step explanation:

The equation of direction variation is

y = kx where k is the constant of variation

y = 7x  so 7 is the constant of variation

Answer:

7

Step-by-step explanation:

The equation of direction variation:-  

y = kx where k is the constant of variation -> Eq 1  

y = 7x  -> Eq 2

Comparing Eq 1 and Eq 2,

k=7

Emily received a check from her grandmother for $40.00 for her birthday. To cash the check, her bank requires her to deposit the funds into her account. Since she wanted to spend the money that afternoon, she withdrew $40.00 in the same transaction. Jacoby went on a hiking trip on the Rocky Bend Loop. Starting at an elevation of 1,200 feet, he hiked up the eastern trail leading to a change in elevation of 782 feet to get to the campsite. The next day he hiked down the western trail which had a change in elevation of 782 feet to get back to his car. During the top of the fourth inning of a baseball game, the Ravens scored three runs. During the bottom of the fourth inning, the Raiders scored five runs to tie the game. Marcus runs a sightseeing service in the Appalachian Mountains. The first leg of the tour is a 16.2-mile horseback ride from the stables up the side of a mountain. The second leg of the tour is a 20.6-mile four-wheeler ride taking a different path down the mountain to the customer parking lot. A carbon 12 atom has six neutrons, six protons, and six electrons. The neutrons have no charge, each proton has a positive charge, and each electron has a negative charge of the same magnitude. To start the second half of the basketball game, the Eagles made a jump shot for two points. The Bulldogs then took the ball down the court on a fast break and made a layup for two points.

Answers

Answer:

pretty sure ypu arent suppose to send your entire math homework like this

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
1.Write the linear equation that models the equation?
2.What is the cost per T-shirt?
3.What is the standard shipping and handling bag?

Answers

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

Prove cot(− θ) =− cot(θ)

Answers

Step-by-step explanation:

steps are in the picture.

Note:If you need to ask question about it ,i can make you understand.thanks

I will give brainlist to whoever will do this for me and I will help with anything you need

Answers

I think it’s
1) (6, 0)
2) (3, 4)
3) (2, 3)
4) (1, 8)
5) (3, 4)
6) (5, 7)

jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?

Answers

Answer:20 minutes per pound

we know that

To find the unit rate divide the total time by the total weight

Convert mixed number to an improper fraction

Convert hours to minutes

so

Find the unit rate

therefore

20 minutes per pound

Someone help me please

Answers

Answer:

option a

Step-by-step explanation:

all positive real numbers

EXTRA POINTS MARKING BRAINLIEST!!!

ABCD is a parallelogram prove CDB=CAB and <ABD=<ABD​

Answers

2x-5y+7z=6

x-3y+4z=3

3x-8y+11z=11

(10-1)(10-2)(10-3)(10-10)

Answers

Answer:

0

Step-by-step explanation:

(10-1=9)(10-2=8)(10-3=7)(10-10=0)

9*8*7*0=0

How to do 6x times 1/x

Answers

Answer:

6

Step-by-step explanation:

6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so

= 6/1 * 1/1 = 6

is 16 a natural, whole, integer, rational or irrational number?

Answers

Answer:

16 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

F(-3,-2), I(-4, 3), A(-2,3), M(1, -1)
to
I’(-4,-3), A’ (-2, -3), M’(1,1), F(-3,2)

Answers

I am not sure what exactly the question is, but all points are a reflection across the x-axis. I hope that helps.

My victory will be in your hands if you answer this ✌✌✌✌✌

Answers

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

Answer:

She will pay $52

Step-by-step explanation:

So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars.  By the way substitute this money sign $ for the one on your page

please help me

I will give you 20 points ​

Answers

Your dividing number for both is by 8. Since 8 hours divided by 8 equals 1. You will do the same to the top and get an answer of 25 miles!!

How do you write a number less than one and one-third in an algebraic expression?

Answers

Step-by-step explanation:

x<1

x<(1/3)

yes this is the answer

Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked

Answers

3/4 of 4/5 = 3/4 x 4/5 = 12/20 = 3/5 of a mile (= 1056 yards)

HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???

Answers

Answer:

180 degrees

Step-by-step explanation:

There are 180 degrees in a supplementary angle (straight line)

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$77. A season ski pass costs ​$450. The skier would have to rent skis with either pass for ​$20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes?

Answers

Answer:

5

Step-by-step explanation:

Given:

Daily pass = $77Season ski pass = $450Skis = 20

77 + 20 = 97

450 + 20 = 470

Keep multiplying 97 with random numbers until it passes 470.

97 × 4 = 388

97 × 5 = 485

So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.

Hope this helped.

Solve the inequality. Graph the solution - 30 points

Answers

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]

[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]

[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]

Hence

It has no solutions

Answer:

A. All Real Numbers

Step-by-step explanation:

26 + 6b ≥ 2(3b + 4)

~Simplify

26 + 6b ≥ 6b + 8

~Subtract 26 to both sides

6b ≥ 6b - 18

~Subtract 6b to both sides

0 ≥ -18

Best of Luck!

Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3

Answers

Okie

First find D

In this case it is log x

Now find those terms which are log x, log 2x, log 3x, ….. log 8x
Now add them
You will get log x36 :)

fraction into the statement 1:50000​

Answers

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

Ramesh buys 10 containers of juice from one shop and 18 containers of the same juice
from another shop. If the capacity of each container is same and the cost of each of the
container is ₹150, find the total money spend by Ramesh.

Answers

4200

Step-by-step explanation:

10 × 150 = 1500

18 × 150 = 2700

So

1500 + 2700 = 4200

Please help quick I still can’t figure it out

Answers

Step-by-step explanation:

3+21+7+3+21+7

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