Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin take as a ratio.
Give your answer in its simplest form.

Answers

Answer 1

Answer: 3:5

Step-by-step explanation:

So, taking the ratio of the time taken by Henry to the time taken by Gavin is: (36 mins/ 60 mins) = (36/60) = 3:5 [Taking minutes as the common unit for both of the cases.] Thus the ratio is 3:5 in simplest form.


Related Questions

It’s going to be Lindsay’s birthday soon and her 5 friends Mary Jacqui Tadeusz opal and Tony have contributed equal amounts of money to buy her a present. They have $45.00 to spend between them. Determine how much each contributed
A. 5y = $45.00; y = $9.00
B. 5y = $45.00; y = $10.00
C. 5 + y = $45.00; y = $39.00
D. 5 + y = $45.00; y = $40.00

Answers

Answer:

5y = 45.00; y = $9.00

Step-by-step explanation:

I need help again! Question below!

Answers

Answer:

20

Step-by-step explanation:

If each space has an area of 5, we just have to multiply by 4 since there are 4 spaces.

4(5)=20

Answer:

100ft²

Step-by-step explanation:

Hope this helps!

Derek, Erica and Fred share £108 in the ratio 3:4:2
Calculate the amount of money Erica gets.

Answers

Answer:

£48

Step-by-step explanation:

3+4+2=9

108 divide by 9=12

12*4=48

Find the acute angles of a right triangle if:
A) one of them is 60 ° higher than the other;
B) one of them 2 times
C) The ratio of their values is 2:3.
help!!!!!!!!!
hurry up please and tell me about everything please
can someone help me im gonna be late pleasee do it for me my mom gonna kill me if i will got f

Answers

Answer:

A  angles are 15 and 75    B.  angles are 30 and 60     C.  angles are 36 and 54

Step-by-step explanation:

Remember that the two acute angles of a right triangle = 90

A  one angle = x ; the other angle = 60 + x     so  60 +x + x = 90

 60 + 2x = 90; 2x = 30;  x = 15  one angles; the other angle is 60 + 15 = 75

B.   One angle = x ; the other angle = 2x     so  x + 2x = 90

     3x = 90 ; x = 30 one angle;    the other angle s 2x = 2(30) = 60  

C    2 : 3 means 2x:3x

       One angle = 2x ; the other angle = 3x ;  so  2x + 3x = 90

       5x = 90;  x = 18  this is what x is equal to.  Now the find the angles:

       one angle is 2x meaning 2(18) = 36 and the other angle is 3x meaning              3(18) = 54.    

To check this answer one angle to the other angle is represented by the ratio 2:3;   36:54 = 2:3   Reduced!  

PLS HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
a air balloon is at a height of 2,520 feet. it begins to descend at the rate of 140 feet per minute.
1.Write an expression to model its height after x minutes

Answers

Answer:

2,520 - 140x

Step-by-step explanation:

It's 140 feet per minute, so if you need to find it's height after x minutes you just plug in your value for x.

Please mark brainliest if possible and have a nice day!

naomi has earned $54 mowing lawns the past two days .She worked 2.5 hours yesterday and 4.25 hours today .if naomiis paid the same amount for every hour she works ,how much does she earn per hour to mow lawns

Answers

Answer:

8$ per hour

Step-by-step explanation

First, we need to find how many hours Naomi worked, total.

Simply add [tex]2.5+4.25=6.75[/tex]

Now we know that Naomi earned 54$ over 6.75 hours.

All we have to do to find the hourly rate is divide [tex]54/6.75=8[/tex]

Naomi earns 8$ per hour mowing lawns.

Answer:

$8

Step-by-step explanation:

Set up an equation with the payrate ($/hr) as the unknown.

2.5 × R + 4.25 × R = 54

6.75 × R = 54 ; R = [tex]\frac{54}{6.75}[/tex] = 8

In a probability model, which of the following numbers could be the probability of an outcome?

1.5 ,1/2 ,3/4 ,2/3 ,0 ,-1/4

Answers

Answer:

Step-by-step explanation:

Don’t know

Find the values of the variables in the figure.

Answers

Step-by-step explanation:

5y = 120

y = 24

2× = 108

x = 54

Millie and Molly’s ages add up to 19 years Millie is three years older than Molly how old are they

Answers

Answer:

Millie is 11. Molly is 8.

Step-by-step explanation:

Step 1: Subtract 3 from 19. The reason why you do this is to make sure that you don't have an extra 3 lying in there for the next few steps.

19-3=16

Step 2: Divide 2 from 16. You do this because there are two sisters.

16÷2=8

8 will then become Molly's age

Step 3: Add 3 to 8. This will give you Millie's age because she is 3 years older than Molly.

3+8=11

In conclusion, Millie is 11 and Molly is 8.

100 POINTS FOR THIS!!!

Answers

Answer:

m∠EFD = 90°

m∠EHF = 127°

m∠HFG = 56°

m∠G = 71°

m∠E = 19°

Step-by-step explanation:

From inspection of the given diagram, line segment GD is a straight line and m∠EFG=  90°.  

Angles on a straight line sum to 180°:

⇒ m∠EFG + m∠EFD = 180°

⇒ 90° + m∠EFD = 180°

⇒ 90° + m∠EFD - 90° = 180° - 90°

⇒ m∠EFD = 90°

Angles on a straight line sum to 180°:

⇒ m∠EHF + m∠FHG = 180°

⇒ m∠EHF + 53° = 180°

⇒ m∠EHF + 53° - 53° = 180° - 53°

⇒ m∠EHF = 127°

From inspection of the given diagram, m∠EFH and m∠HFG form a right angle:

⇒ m∠EFH + m∠HFG = 90°

⇒ 34° + m∠HFG = 90°

⇒ 34° + m∠HFG - 34° = 90° - 34°

⇒ m∠HFG = 56°

Interior angles of a triangle sum to 180°:

⇒ m∠HFG + m∠GHF + m∠G = 180°

⇒ 56° + 53° + m∠G = 180°

⇒ 109° + m∠G = 180°

⇒ 109° + m∠G - 109° = 180° - 109°

⇒ m∠G = 71°

Interior angles of a triangle sum to 180°:

⇒ m∠E + m∠EFH + m∠EHF = 180°

⇒ m∠E + 34° + 127° = 180°

⇒ m∠E + 161° = 180°

⇒ m∠E + 161° - 161° = 180° - 161°

⇒ m∠E = 19°

Answer:

b

Step-by-step explanation:

Solve the equation by completing the square.
9y2 + 12y - 11 = 0

Answers

Answer:

-⅔ +⅓ √15

Step-by-step explanation:

y= -⅔ +⅓ √15

or

y = − ⅔ + -⅓ √15

Will give brainliest!

Triangle ABC is reflected across the line y = 2x to for triangle RST.

Answers

Answer: 1, 4, 5

Step-by-step explanation:

I took the quiz

Please help :(... when I posted this with 50 points someone gave me incorrect answers..

Answers

Answer:

22)43300000, 23)~7, 24)~20

Step-by-step explanation:

22)6.48*10^(7)-(2.15*10^(7))=4.33*10^7 (or 43300000)

23)2.95*10^6=2950000, 2.15*10^7=21500000, 21500000/2950000=~7

24)1.3*10^9=130000000, 1300000000/64800000=~20

Answer:

Step-by-step explanation:

22.  You can write these exponents out if it makes it easier to understand, then convert back into exponential form.

6.48 x 10⁷ = 64800000 France

2.15  x 10⁷ = 21500000  Australia

Subtracting Australia from France = 43300000

Converting back to exponential  would be 4.33 x 10⁷

But if you notice both number have the exponent of 10⁷.  Since these are both the same, you can just subtract the whole number for Australia from the number for France  6.48 - 2.15 = 4.33

then just put the exponent on the end.  4.33 x 10⁷

23.  Again it might be easier to convert to standard numbers first.

Area of Australia = 2.95 x 10⁶  or 2950000

Population = 2.15 x 10⁷  or 21500000

So population per square mile would be population divided by area.

21500000 / 2950000 = 7.3 people per square mile

Now if you look at the two numbers, the exponents are only different by 1.  You can easily make the population have the same exponent as the area by moving the decimal place of the whole number

Population 2.15 x 10⁷ is the exact same as 21.5 x 10⁶.  Now since both number have the same exponents, you can cancel those out and just divide the whole numbers.   21.5 divided by 2.95 which also equals 7.3.

24. You can look at this the same way.

China population 1.3 x 10⁹  is 1300000000

France population 6.48 x 10⁷ is 64800000

Dividing China by France you get about 20.1 which means China is about 20.1 times great in population than France.

If you use the same method as in question 23, you can change the population of China so the exponent matches that of France.

1.3 x 10⁹ is exactly the same as 130 x 10⁷

Again, since both exponents are the same, you can cancel them out and just divide the whole numbers.

130 / 6.48 which also equals about 20.1

plz solve this!!!!!!

Answers

Answer:

where is the question?......

42 43 45 ? 52

23 ? 33 38 43

Find the question marks

Answers

Answer:

48, 28 respectively

Step-by-step explanation:

You would find the pattern for both.

1) 42, 43, 45, ?, 52

the pattern is +1, +2, +3, +4

42 + 1 = 43 +2 = 45 + 3 = 48 + 4 = 52

42, 43, 45, 48, 52

2) 23, ?, 33, 38, 43

the pattern is to add 5

23 + 5 = 28 + 5 = 33 + 5 = 38 + 5 = 43

23, 28, 33, 38, 43

Which ones are functions?

Answers

Answer:

The first, second, third, and fourth

Step-by-step explanation:

Each input in the first, second, third, and fourth only have one output. In the fifth one 3.3 and 6.6 are seen twice as the x-value, so this is incorrect.

Cada entrada en la primera, segunda, tercera y cuarta tiene solo una salida. En el quinto, 3.3 y 6.6 se ven dos veces como el valor de x, por lo que esto es incorrecto.

please help! circled numbers only. tysm, will mark brainliest.

Answers

Answer:

10. 3/5

12. 5/6

14. 12/17

15. 2 , 5

18.7

20. 21/22

22. 15

24. 9

26.11,21

Step-by-step explanation:

Answer:

12.

[tex] \frac{5}{6} [/tex]

18. 7

24. 9

10. 3/5

16.10

22. 15

14.12/17

20.21/22

26. 11, 12

What are the values of y and z?

Answers

Answer:

y = 70°

z = 40°

Step-by-step explanation:

The two red marks in the sides HF and HG of the triangle means that it is an isosceles triangle, and it means that it have the two angles in the base with the same value, so the angle y have to be 70°. Now, the sum of the 3 internal angles of a triangle is always 180°. We have two angles with 70, so 70+70= 140°. 180-140 = 40°

The two figures are similar to find the ratios (shaded to non-shaded) of perimeters

Answers

perimeter of non-shaded part = 7

perimeter of shaded part = 9

so ratio of shaded to non shaded is =

shaded:non shaded = 9:7 = 9/7

so option b is correct

Answer:

I think it's 9/7 for the nonshaded one and the shaded one is 81/49

Step-by-step explanation: To be honest i'm using both division and multiplication that's really all ad  hope I helped you out yo.

Write the equation of the function whose graph IS
shown.
y = ____ (x + ____)^2 + ____

Answers

Answer:

y=1(x-5)^2+3

Please correct me if i am wrong.

Step-by-step explanation:

We know that the turning point of a graph in the form a(x+p)^2+q is (-p,q) so,

TP(5,3) means that p=-5, q=3.

To solve a for the function y = a(x-5)^2+3, we can substitute one of the points we know lie on the graph for x and y so,

Substitute (8,12) into y=a(x-5)^2+3,

12=a(8-5)^2+3

12=9a+3

9=9a

a=1,

So substitute in a,

y=1(x-5)^2+3

Heeeelppppppp meee pleeease

Answers

Step-by-step explanation:

as there are only 3 types of discontinuity overall : A, B and C.

there is no fourth, so D is out.

to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.

5x + 4, x = 2

5×2 + 4 = 14

this is finite and a well-defined number.

2 - x, x = 2

2 - 2 = 0

this is again finite and well-defined.

but it is different from 14 above.

there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.

none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.

but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.

so, yes, it is a jump. C is right.

What is 7054.72 rounded to the nearest 10?

Answers

Answer:

7054.7

Step-by-step explanation:

7054.7 is 7054.72 rounded to the nearst 10

Answer:

7050

Step-by-step explanation:

7050, 5 is in tens and the 4 is in ones but it's less than 5 so it will be zero

Determine the x and y intercepts of the graph of 3x + 4y = 24

Answers

Answer:

Step-by-step explanation:

3x + 4y = 24

Find the x intercept by solving intersecting the graph of f(x) or y with

y=0 (which is the x-axis)

4y= -3x+24, subtract 3x from both sides of the equation

y = (-3x/4) +6, divide both sides by 4

if y=0 then  

(-3x/4) +6 = 0  , subtract 6 from both sides

-3x/4 = -6, multiply both sides by 4

-3x = -24 , divide both sides by

x= 8, so the x intercept is at (8, 0)

the general formula of a line is y=mx+b , where b is the y-intercept

since our equation is y = (-3x/4) +6 then y intercept is at (0, 6)

convert 60 miles per hur o feet per minute

Answers

Answer:

12

Step-by-step explanation:

22becuase it just right I think

Answer:

5280.

Step-by-step explanation:

multiply the miles by 88.

HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS

Answers

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

The Above statement can be represented as :

[tex] \dfrac{4}{9} g + 20[/tex]

therefore , the correct choice is A.

Answer:

a =4/9g +20

Step-by-step explanation:

PLS MARK BRAINLIEST

while at the beach, daniel buys lunch for his family from a food stand. he purchases one hot dog for $2.50 and 3 hamburgers. if he spent $13 total, write and solve and equation to find h, the amount each hamburger cost

Answers

Answer:

h= $3.50

Step-by-step explanation:

$2.50 + 3h = $13

3h = $13 - $2.50

h = $10.50 ÷3

h= $3.50

Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.

Answers

Answer:

$12,800

Step-by-step explanation:

800÷0.0625=12,800

A 10 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 6 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.

What is the distance, in feet, between the ground and the top of the ladder?

Answers

The distance, in feet, between the ground and the top of the ladder is 8 feet.

The diagram formed will be a right triangle having the hypotenuse, adjacent and opposite sides

To get the  distance, in feet, between the ground and the top of the ladder, we will use the Pythagoras theorem as shown:

hyp² = opp² + adj²

Given the following sides

length of ladder = hyp = 10footdistance from ladder to the base = adjacent  = 6 feet

Substitute the given parameters into the formula to have:

10² = opp² + 6²

opp²=100 - 36

opp² = 64

opp = 8feet

Hence the distance, in feet, between the ground and the top of the ladder is 8 feet.

Learn more on pythagoras theorem here: https://brainly.com/question/2938476

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

The value of f(g(2)) is 2

Sally had her eye on a new pair of shoes for a while. She has been waiting because, at $100, they are a little pricey for her. They are on sale now for $75. If she bought the shoes now, what percentage of the original price is she saving?

Answers

Answer:

Price before discount: $100

Discount: 25%

Price after discount: $75

You save: $25

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