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
NeTakaya
3 years ago
5

Fraction word problems Your strip of paper represents one lap on a track. Three students ran a relay and took turns running equa

l parts of the track. The race was three- fourths of a lap long. How much of the track did each ran ?
Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

A quarter (\dfrac{1}{4}) of one lap of the track.

Step-by-step explanation:

Three students ran ran a relay and took turns running equal parts of the track.

The race was three-fourths of a lap long.

Let the length of one lap of the track=x

The length of the race=\frac{3}{4}x

Since each of the students ran equal part,

Length run by each student

=\dfrac{3}{4}x \div 3\\=\dfrac{3}{4}x X \dfrac{1}{3}\\=\dfrac{1}{4}x

Therefore, each student ran a quarter (\dfrac{1}{4}) of one lap of the track.

You might be interested in
2. Which is a true statement about the table below?<br> Please answer honestly
Setler [38]

Answer:

A. it is a function because each input value has exactly one output.

Step-by-step explanation:

A relation is considered to be a function when each domain value (input), X, of the function has exactly one range value (output), Y, that is related to it. This means a domain value, X, (input) of a function cannot have two different range values (output) that are related to it.

However, two or more different domain values (input) can give the same range value (output).

The table of values given shows different input values, of which each has exactly one output value. However, the different input values give the same output.

Therefore, "it is a function because each input value has exactly one output".

6 0
2 years ago
Help with 30 please. thanks.​
Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

\displaystyle  y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}

And we want to show that:

\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}

Instead of differentiating directly, we can first square both sides:

\displaystyle y^2 = 3e^{2x} -4x + 1

We can find the first derivative through implicit differentiation:

\displaystyle 2y \frac{dy}{dx}  = 6e^{2x} -4

Hence:

\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}

And we can find the second derivative by using the quotient rule:

\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}

Substitute:

\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}

Simplify:

\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}

Combine fractions:

\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}

Simplify:

\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}

Simplify:

6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}

Q.E.D.

6 0
2 years ago
A worker at a frozen yogurt store has 2 3/4 cups of frozen yogurt to give to customers as samples. the worker places 1/16 cup of
Musya8 [376]

Answer:

The Worker can give out 44 samples of ice cream.

5 0
2 years ago
Read 2 more answers
Is hunter license a form of a tax
puteri [66]
A hunting license is not a from of tax it is a form of license that allows you to hunt game and only costs each time for renewal of the right
<span />
8 0
3 years ago
One angle of an isosceles triangle is 50 °. Calculate all the angles of that triangle.
monitta

Answer:

150

Step-by-step explanation:

3 times 50 equal 150

6 0
3 years ago
Other questions:
  • Where is the removable discontinuity of f(x)=x+5/x^2+3x-10 located?
    8·2 answers
  • I am in need of help with line and angle proofs.​
    15·1 answer
  • What is 7 over 8k =35
    9·1 answer
  • Margaret has 12 grandchildren. A. This year she is giving each of her grandchildren the same gift. Each gift costs $22.75. How m
    12·1 answer
  • 5. <br> please choose the CORRECT answer!! thank you so much
    9·1 answer
  • What is it like being dead and has anyone gone through it. ( I NEEED TO KNOW)
    10·1 answer
  • Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks costs the same
    8·2 answers
  • The diagonals of a quadrilateral QRST intersect at P(2,3). QRST has vertices at Q(3,6) and R(-3,5). What must be the coordinates
    14·1 answer
  • The diagram represents the factorization of a2 8a 12. A 2-column table with 2 rows. First column is labeled a with entries a squ
    7·1 answer
  • Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably norma
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!