There were 56 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 3/7 of the remaining runners dropped out. How many runners finish the race?

Answers

Answer 1

Answer:

24 runners

Step-by-step explanation:

If 1/4 of the runners dropped out, then 1 - 1/4 or 3/4 continued on. 3/4 of 56 or 3/4 *56 is 42 runners left. Then, out of these 42, 3/7 dropped out. This means 1 - 3/7 or 4/7 of the runners remained. This means that 4/7 * 42 or 24 runners finished the race.


Related Questions

PLSSSSS HELPPP P PP P P P WUICKKKKLYLLYLYLYLYYYYY PLSSSSS

Tammy made $177 for 9 hours of work.
At the same rate, how many hours would she have to work to make $133?

THIS SHOULD BE EASY!!!!!

Answers

Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.

(15x7 - 10x3 + 5x2) ÷ (5x2)

Answers

[tex](15x7 - 10x3 + 5x2) \div (5x2) \\ = (15x \times 7 - 10x \times 3 + 5x \times 2) \div (5x \times 2) \\ = (105x - 30x + 10x) \div (10x) \\ = 85x \div (10x) \\ = \frac{85x}{10x} \\ = \frac{17}{2} [/tex]

Solved ✔︎
Exact form:17/2

Give me 5 stars plzzzz

Write the equation of a circle with radius 10 and center (-7,9) in standard form.

Answers

Im not too sure but i think its
(x+7)^2 + (y-9)^2=100

When lines are parallel...

Answers

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

y +4 = 2/3(x – 3)
Write equation in standard form.
Please put a step by step explanation!

Answers

Answer:

2x - 3y = 18

Step-by-step explanation:

The standard form is:

ax + by = c

Given equation in point- slope form:

y + 4 = 2/3(x - 3)

Convert:

y + 4 = 2/3(x - 3)3y + 12 = 2x - 6-2x + 3y = - 6 - 12-2x + 3y = - 182x - 3y = 18
y+4=2/3(x-3)y+4=2/3x-2y=2/3x-2-4y=2/3x-63y=2x-182x-3y=18

(Correct answer get's brainliest)
What is the domain and range of the function?

Match the domain and range with the corresponding set of points.

Answers

Domain (0, infinity)
Range (-inf, 1)
Domain : (0, infinity)
Range : (-infinity, infinity)

I can do sin A but have no idea what sin B means.

Answers

Answer: sin B is equal to H in most scenarios, but I don't know what it is in this one.

Step-by-step explanation:

All angles in the figure at the right are right angles what is the agree of the figure
F.14
G.18
H.28
I.36

Answers

Answer:

Ans: 36

Step-by-step explanation:

just separate it into three rectangles and use the formula

A=l*b

and at last add all of them

When you toss a die while playing a game, you can get 1, 2, 3, 4, 5, or 6 on the top face. How many possible combinations of the top faces for the dice are there if:


a) you must toss 4 dice

b) you must toss n dice

Answers

Using the fundamental counting theorem, it is found that:

a) 1296 combinations are possible.

b) [tex]6^n[/tex] combinations are possible.

The fundamental counting theorem states that for n independents trials, each with [tex]n_1, n_2, n_n[/tex] ways of being done, the total number of combinations is:

[tex]T = n_1 \times n_2 \times ... \times n_n[/tex]

Item a:

Four independent dice throws, each with six outcomes, thus:

[tex]T = 6 \times 6 \times 6 \times 6 = 6^4 = 1296[/tex]

Item b:

n independent dice throws, each with six outcomes, thus:

[tex]T = 6^n[/tex]

A similar problem is given at https://brainly.com/question/24067651

I NEED TO ANSWER ASAP PLEASE AND THANKS

Answers

Answer:

x(n) ≤ 678(n)    

Step-by-step explanation:

let n represent per night.

it cannot cost more than $678 per night (n). If x was how much you paid, it would depend on the number of nights. So that is represented by x(n). Then, add the rest of the inequality (≤678(n))and the  answer is x(n) ≤ 678(n)

please leave a “thanks” heart if this helped

Figure HNMLKEFG is the image of figure ABCDKLMN after being rotated 90 degrees counter-clockwise around point K. Draw an auxiliary line in figure ABCDKLMN to create a quadrilateral. Draw the image of the auxiliary line when rotated 90 degrees counter-clockwise around point K. Write a congruence statement for the quadrilateral you created in figure ABCDKLMN and the image of the quadrilateral in figure HNMLKEFG.

Answers

3halfs 3 charter 5 feet

find the diameter of the circles having areas of 2464 cm square .​

Answers

Answer:

the diameter of a circle is 56 CM

x−2y=−1
y=5x−3
Choose the correct answer below.
A.
The two lines are perpendicular.
B.
The two lines are neither parallel nor perpendicular.
C.
The two lines are parallel.
D.
More information is needed.

Answers

b.

they're just intersecting.

6.1 times 10 to the 4th power

Answers

Answer:

61,000

Step-by-step explanation:

[tex]6.1[/tex]·[tex]10^{4}[/tex]

6.1·10000

61,000

Answer:

61,000

Step-by-step explanation:

6.1 · 10^4

6.1 · 10,000=

61,000

Please help me solve these 3 questions

Answers

1. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. In that way, the brackets are removed. We can then combine like terms and solve by equations when necessary.

2. The first step is simply to apply the distribution using the distributive property : 3(3x-5x)+2=-8 applying the distributive operation we get 9x -15x or we could have simply done 3(2x)+2=-8 which gives us 6x+2=-8 and finally 6x= -8/2= -4

6x=-4 means x= -4/6 thus x= -2/3

3. Multiplication has priority over addition or subtraction thus we have first to apply the distributivity before combining the variable terms

ANSWER QUICK FIND THE SLOPE

Answers

Answer:

2

Step-by-step explanation:

6/5, distance is over time because time is the y-axis and distance is the x-axis
To find slope you use the formula is y2 - Y1 / x2 - x1 or 12-6/ 10-5. Another way to calculate would be rise over run.


(Show work)
Please help me

Answers

Answer:

8km to miles

8÷1.609

4.97097

Answer:

4.97 miles or approximately 5 miles

Step-by-step explanation:

To get kilometers to miles, you divide by 1.609

So [tex]\frac{8 km}{1.609 mi}[/tex]=4.97 or approximately 5 miles.

Solve: 70 x 103^3.

A 7,000
B 700,000
C 700
D 70,000

Answers

Answer:

D 70,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

simple if you know how to multiply cuz thats all you doing anyway.

anyways you Welcome.

Brainliest
A trial is 9/10 of a mile long. Abdul hiked 2/5 of the length of the trial. Which steps could be used to determine how far he hiked, in simplest terms? Check all that apply.

Answers

Answer:

Find the product as follows 9/10 x 2/5= 18/50

Step-by-step explanation:

I had this question and got it right!

The ages of Sara and Samia are in the ratio 3: 5. Six years from now the ratio of

their ages will be 2:3.Find their present ages. with explanation please

Answers

Answer:

Sara=18 years

Samia=30 years

Step-by-step explanation:

For age questions, the difference of their ages remains the same.

Now             6 years from now

Sara:Samia Difference Sara:Samia Difference

  3   :    5            2             2   :   3           1

                                           x2     x2         x2   (times two to make them equal)

                                           4   :    6          2        

4-3=1

1 unit=6

Sara=6x3=18

Samia=6x5=30

Hope this helps! Thanks.

Will mark brainliest to best answer, i need it asap!!!!!!!!!!!!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Above statement can be represented as :

[tex] \dfrac{a - 15}{10} [/tex]

so, the correct choice is A.

3. A rectangular field is 3 times as long as it is wide,
and it has an area of 192 square yards. How many
yards long is it?
A. 8
B. 24
C. 48
D. 72
E. 96

Answers

The answer is A please Mark as brainless

Explain a set of parallel lines and a transversal line within this image.

Plz help me, thx you so much

Answers

the tracks are parallel since they won’t cross, i’m not so sure about the transversal mb

which graph shows proportional relationship between x and y

Answers

I believe graph D shows proportional relationship

What’s the answer? Please help thank you

Answers

Answer:

-5000

Step-by-step explanation:

hope this helps :)

If a circle has a circumference of 40.82cm what would the diameter be show working out

Answers

Answer:

d = 12.99cm

Step-by-step explanation:

The formula of the circumference of a circle is as follows:

    [tex]C = \pi d[/tex]

    [tex]40.82 = \pi d\\\frac{40.82}{\pi } = d\\ d = 12.99 cm[/tex]

savanna watches 21 hours of TV per week what is her daily rate

Answers

Answer:

3 hours of tv per day

Step-by-step explanation:

there are 7 days in a week

21/7 = 3

Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 40 flowers. How many daisies should she plant?
A.
21 daisies
B.
8 daisies
C.
24 daisies
D.
38 daisies

Answers

Answer:

C.

24 daisies

Step-by-step explanation:

3 + 2 = 5
40 divided by 5 = 8
8 times 3 = 24
8 times 2 = 16
There are 24 daisies and 16 carnations. So the answer is C, 24 daisies.
Please mark brainliest if possible and have a nice day!

How are the two angles related?

Answers

The angles 60 degrees and 120 degrees are related by supplementary.

Supplementary angles:

Supplementary angles are angles that sum up to 180 degrees.

In other word, supplementary angles are two angles whose measures add up to 180° .

Therefore, the two angles 60 degrees and 120 degrees are related by supplementary angle. Mathematically

60° + 120° = 180°

learn more on angles here:https://brainly.com/question/3027144

Simplify the following algebraic expression by combining like terms 2x - 2 + x + 4

Answers

Answer:

3x+2

Step-by-step explanation:

2x-2+X+4

= 2x+X+4-2

= 3x+2

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