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
jenyasd209 [6]
3 years ago
13

Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin tak

e as a ratio.
Give your answer in its simplest form.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

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.

You might be interested in
Liz decides to save money to buy an electric car. She invests $500 every 6 months at
pashok25 [27]

Answer:

$13,995.48

Step-by-step explanation:

8 0
2 years ago
The quotient of 9 times an unknown number and 16 is 81. What is the value of the unknown number?
riadik2000 [5.3K]
Quotient means division.

(9x)/16 = 81

9x = 1296

x = 144

The unknown number is 144.
5 0
3 years ago
Read 2 more answers
The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

5 0
3 years ago
338x4 estimate then find the product
aivan3 [116]

Answer:

1360     340 x 4 = 1360

Step-by-step explanation:

8 0
3 years ago
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0
3 years ago
Other questions:
  • Appliances at Discount City Store are on sale for 70% of the original price. Eli has a coupon for an 18% discount on the sale pr
    12·2 answers
  • Y more than 5 <br> Translate the phrase into an algebraic expression
    8·2 answers
  • What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labe
    8·2 answers
  • Solve 2+1^6y=3x+4 for y.
    13·1 answer
  • Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'
    11·1 answer
  • Si se llenan 45 frascos de 200 gramos de mayonesa cuantos frascos de 150 gramos se puede llenar con la misma cantidad
    15·2 answers
  • Find the unit rate
    12·1 answer
  • Plz help me it says show work to I’m confused
    11·2 answers
  • Find the area of the hexagon. i will mark brainliest and pls explain.
    11·1 answer
  • Select the correct answer.<br> What is the height, x, of the equilateral triangle
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!