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2 years ago

6

There is 3/8 of an apple pie left from dinner. Tomorrow, Victor plans to eat 5/8 of the pie that was left. Enter how much of the

whole pie he will eat tomorrow.

1 answer:

Tcecarenko [31]2 years ago

7 0

Answer:

$\frac{15}{64}$ of the pie

Step-by-step explanation:

Whole numbers refer to a collection of natural numbers together with 0.

Fraction refers to part of a whole.

Part of an apple pie left from a dinner = $\frac{3}{8}$

Part of an apple eaten by Victor tomorrow is equal to $\frac{5}{8}$ of the pie that was left

So,

Part of an apple eaten by Victor tomorrow = $\frac{5}{8}(\frac{3}{8})=\frac{15}{64}$ of the pie

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Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4

kvasek [131]

Answer:

The correct answer is:

$4 x -3 y = 16$ and

$8 x -6 y = 34$ are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

$a_1x+b_1y+c_1=0$ and

$a_2x+b_2y+c_2=0$

1. There exists exactly one solution:

$\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}$

2. There exists infinitely many solutions i.e. lines are identical.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

3. There exists No solutions i.e. lines are parallel and will never intersect.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}$

Now, let us have a look at the given pair of lines:

Option a)

$2 x + 8 y = 15\\4 x + 16 y = 30.$

The ratio:

$\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}$

Hence, the lines are identical, infinite solutions.

Option b)

$2 x - y = 18\\4 x + 2 y = 38$

The ratio:

$\dfrac{2}{4}\neq \dfrac{-1}{2}$

Hence, exactly one solution.

Option c)

$4 x + 7 y = 17\\8 x -14 y = 36$

The ratio:

$\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}$

Hence, exactly one solution.

Option d)

$4 x - 3 y = 16\\8 x - 6 y = 34.$

The ratio:

$\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}$

Hence, There is no solution.

The correct answer is:

$4 x -3 y = 16$ and

$8 x -6 y = 34$ are the equations that have no solution.

8 0

3 years ago

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PLEASE HELP ME ANSWER! im so desperate bro !!

sergey [27]

a)13

b) skewed

c) IQR

d)Sam's observation is correct

e)6.17

Step-by-step explanation:

Step 1 :

From the histogram we can infer that

0 to 2 texts has been sent by 1 student

2 to 4 texts has been sent by 3 student

4 to 6 texts has been sent by 4 student

6 to 8 texts has been sent by 4 student

8 to 10 texts has been sent by 5 student

Step 2:

a)

From step 1 , we can see that there are total of 17 students represented by the histogram

Step 3:

b)

This is a skewed histogram because we have all large values of students on the right of the histogram and smaller values on the left of the histogram.

In symmetrical histogram, there would be large values on the center and the smaller values on both sides.

Step 4:

c)

IQR would be better recommendation for this as this is a skewed histogram

Standard deviation would be recommended for a symmetrical histogram

Step 5:

d)

Total number of students is 17

Number of students who text between 8 to 10 messages is 5

Hence the students who text between 8 and 10 messages is 5/17

which is nearly 1/3 rd of the total students.

Hence Sam's observation is correct

Step 6:

e)

Mean amount of the texts = (1 * 3 + 3* 3 + 5*4 +7*4 + 9* 5) /17 = 6.17

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2 years ago

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puteri [66]

Answer:

B. 95

Step-by-step explanation:

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2 years ago

I'm trying to rearange this equation so that t is the subject and i need help

gregori [183]

Work backwards.

s=ut+(at^2)/2

Subtract ut.

s-ut=(at^2)/2

Multiply by 2.

2(s-ut)=at^2

Divide by a.

2(s-ut)/a=t^2

Find the square root:

$\sqrt{2(s-ut)/a}=t$

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A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C.

steposvetlana [31]

Putting all the names in a hat and selecting six students because the rest would not have been random because you know who you picked just by looking but if u put names in a hat you don't know who you picked.

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3 years ago

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