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
Tema [17]
3 years ago
12

Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

You might be interested in
A leaky faucet drips 356,755 mL of water over the course of the year. There are approximately 3,785 mL in 1 gallon. How many gal
dalvyx [7]

Gallons of water are leaked in one year is 94.253 gallons

<h3><u><em>Solution:</em></u></h3>

Given that leaky faucet drips 356,755 mL of water over the course of the year

There are approximately 3,785 mL in 1 gallon.

To find: gallons of water are leaked in one year

From given information,

Amount of water leaked in one year in ml = 356,755 mL

Also given in question that,

<h3>1 gallon = 3785 ml</h3>

1 \text{ ml} = \frac{1}{3785} \text{ gallons}

<em><u>Now we can convert 356,755 mL to gallons</u></em>

356,755 \text{ ml} = \frac{1}{3785} \times 356755 \text{ gallons}\\\\356,755 \text{ ml} = 94.253 \text{ gallons}

Thus gallons of water are leaked in one year is 94.253 gallons

6 0
3 years ago
I need help with 9,11,12, and 13
Alex_Xolod [135]
#9
since LJ = LK + KJ, replace the letters with the corresponding equations. You'd get:
LJ = (7x-10) + 28
LJ = 7x + 18
Do you need an integer or is that okay?^
8 0
3 years ago
The function g is defined as g(x)=5x² – 3.<br> Find g(x+1).
maksim [4K]

Answer:

<em>5x² + 10x + 2 </em>

Step-by-step explanation:

g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = <em>5x² + 10x + 2</em>

8 0
3 years ago
Please help fast!! Find the total surface area of the following cylinder:
neonofarm [45]

explanation:total=addition

area=base x height plus the width (area the amount beneath the surface).

equation:3cm both sides 3cm

answer: 3+3= 6cm .

7 0
3 years ago
Read 2 more answers
Solve the equation <br> -10 + 3x + 5x = -56 ? ??
Xelga [282]
Add like terms on the same side:
-10 + 8x = -56
Add ten to both sides
-10 + 8x + 10 = -56 +10
Simplify:
8x = -46
Divide both side by 8
8x/8 = -46/8
Simplify
x = - 5.75
The answer is x = -5.75
(The answer can also be written as -23/4 or -5 3/4)
8 0
3 years ago
Read 2 more answers
Other questions:
  • A cyclist rides his bike at a rate of
    6·1 answer
  • (9^3)^2 Hurrrrryyyyyyyyyyyyyy
    13·1 answer
  • [02.05] Solve for x: −3x + 3 &lt; 6
    10·2 answers
  • -6(y+5)-24=66 find the value of y
    10·1 answer
  • You are at a restaurant and the check comes to a total of $34. If you want to leave a 16% tip, how much total money should you p
    5·1 answer
  • PLEASE HELP *see attachment *
    14·1 answer
  • 7. You bought three erasers and a magazine for $6. You spent a total of $18. How much did
    5·2 answers
  • Which is the solution to this equation 6(x-3)=3x+9
    6·2 answers
  • Find the polynomial function in standard form that has the zeros listed. 1(multiplicity 2), -2(multiplicity 3)​
    12·1 answer
  • Pls help pls help pls I need the answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!