answer.
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
Brrunno [24]
1 year ago
13

Kiley can complete 35 math problems in 1 1/4 hours.How many can she complete in one hour

Mathematics
2 answers:
frosja888 [35]1 year ago
8 0

Answer:

She can complete 12.72≈13 problems in one hour.

Step-by-step explanation:

Given : Kiley can complete 35 math problems in 1 1/4 hours.

To Find : No. of Problems she can complete in one hour.

Solution :

Since we are given that :

Kiley can complete no. of math problems in 1 1/4 hours = 35

She can complete no. of problems in 1 hour :


35\div \frac{11}{4}


⇒35\times \frac{4}{11}


⇒\frac{140}{11}


⇒\12.7272727


Thus She can complete 12.72≈13 problems in one hour.

Lemur [1.5K]1 year ago
4 0

Answer: 28


Step-by-step explanation:


You might be interested in
The owner of a Farmer’s Market wants to construct a triangular fruit stand in his store. Use the diagram below and the Law of Si
Lera25 [3.4K]
Hello,
Please, see the attached file.
Thanks.

7 0
2 years ago
Read 2 more answers
A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si
Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

Area = 128

Let the dimension of the paper be x and y;

Such that:

Length = x

Width = y

So:

Area = x * y

Substitute 128 for Area

128 = x * y

Make x the subject

x = \frac{128}{y}

When 1 inch margin is at top and bottom

The length becomes:

Length = x + 1 + 1

Length = x + 2

When 2 inch margin is at both sides

The width becomes:

Width = y + 2 + 2

Width = y + 4

The New Area (A) is then calculated as:

A = (x + 2) * (y + 4)

Substitute \frac{128}{y} for x

A = (\frac{128}{y} + 2) * (y + 4)

Open Brackets

A = 128 + \frac{512}{y} + 2y + 8

Collect Like Terms

A = \frac{512}{y} + 2y + 8+128

A = \frac{512}{y} + 2y + 136

A= 512y^{-1} + 2y + 136

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

A' = -512y^{-2} + 2

Set

A' = 0

This gives:

0 = -512y^{-2} + 2

Collect Like Terms

512y^{-2} = 2

Multiply through by y^2

y^2 * 512y^{-2} = 2 * y^2

512 = 2y^2

Divide through by 2

256=y^2

Take square roots of both sides

\sqrt{256=y^2

16=y

y = 16

Recall that:

x = \frac{128}{y}

x = \frac{128}{16}

x = 8

Recall that the new dimensions are:

Length = x + 2

Width = y + 4

So:

Length = 8 + 2

Length = 10

Width = 16 + 4

Width = 20

To double-check;

Differentiate A'

A' = -512y^{-2} + 2

A" = -2 * -512y^{-3}

A" = 1024y^{-3}

A" = \frac{1024}{y^3}

The above value is:

A" = \frac{1024}{y^3} > 0

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0
1 year ago
George tells you that when variables are in the denominator, the equation four over five plus three over x equals one over two b
jeka57 [31]
<span><span><u>Answer</u>
This explanation shows that the equation is solvable and there is not where in the steps we get a zero on the denominator.


</span><span><u>Explanation</u>
</span><span>The equation given in the statement is;
4/5+3/x=1/2
This equation can be solved as follows:
4/5+3/x=1/2
3/x=1/2-4/5=(5-8)/10
3/x= -3/10
Taking the reciprocal on both side of the equation;
x/3=-10/3
Multiplying by 3 both sides we get;
</span><span>x= -10
</span></span>
3 0
1 year ago
Read 2 more answers
Adam buys a bigger turkey than he needs.
Lapatulllka [165]
He should start cooking at 15:00
5 0
1 year ago
Read 2 more answers
Theo recorded the means and mean absolute deviations of his language arts and Biology scores. He found the difference in the mea
Rina8888 [55]

The answer is actually A.2 because I just took the test.

8 0
2 years ago
Read 3 more answers
Other questions:
  • How do you write algebraic expressions to model quantities
    11·2 answers
  • 3.The monopolist faces a demand curve given by D(p) = 10p-3 . Its cost function is c(y) = 2y. What is its optimal level of outpu
    6·1 answer
  • Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel
    12·2 answers
  • Leon evaluated the expression (–4a – 6) + a2 for a = 8. (-4(8) - 6) + 82 (-32-6) + 82 (-38) + 82 (-38) + 16 –19 + 16 –3 Analyze
    15·2 answers
  • there are 61 days in March and April mrs. Dorsey recorded 18 sunny days in March and 12 sunny days in April how many days are no
    9·2 answers
  • A motor scooter travels 20 mi in the same time that a bicycle covers 8
    12·1 answer
  • A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 3 of the
    14·2 answers
  • An investment firm offers three types of equity investments,
    15·2 answers
  • In Speed Study Number 1, we looked at two cars traveling the same distance at different speeds on city streets. Car "A" traveled
    12·1 answer
  • Yoki is running a 10-mile race. She runs at a steady speed and then slows down, stops to get a drink of water, and then runs fas
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!