Kate can read 3/8 pages of a book in 5/7 minutes. What is the unit ratio for pages read to minutes?

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

2 by 7 by 11

Step-by-step explanation:

A rectangular prism has a volume of 154 in3

. Which set of dimensions below could be the dimensions of the prism?

6 by 8 by 3

5 by 6 by 7

2 by 7 by 11

Volume of a rectangular prism = base area x height

Base area = length x width

6 x 8 x 3 = 144 this is not equal to 154. This is not the correct dimension

5 x 6 x 7 = 210 this is not equal to 154. This is not the correct dimension

2 x 7 x 11 = 154 this is the correct dimension

Answer:

6.71

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

6^2+3^2=c^2

36+9=c^2

45=c^2

6.71=c

Answer:

#5 - C

#7 - A

Step-by-step explanation:

If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.

In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).

#5:

Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77

#7:

Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

Answer:

1) 20/45= 4/9=4:9

2) 3:8:5

3) 10:7

Answer:

TRUE!

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

If you have 2 Liters, then you would DOUBLE the milliliters (2000)

Answer:

d

Step-by-step explanation:

A function is a relationship between inputs where each input is related to exactly one output.

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A new motorcycle has a value of $8,000.

Every year its value decreases by $500.

Now,

y = amount of the motorcycle

x = number of years

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Thus,

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Option C is the correct answer.

Learn more about functions here:

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Answer:

B

Step-by-step explanation:

1/4 + 2/3

(3+8)/12

11/12

Answer:

39

Step-by-step explanation:

First, we change 8x +7 to 8(4) + 7

Then, 8 x 4 = 32

Lastly, 32 + 7 = 39

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Step-by-step explanation:

1. 3.6 x 10^-1

2. 3.1 x 10^6

3. 5.3 x 10^-6

4. 4.2 x 10^-1

Answer:

The irrational numbers from the given options are :-

Step-by-step explanation:

Analyse each option carefully.

1) [tex]13 + \sqrt{25}[/tex] is a rational number because :-

2) [tex]17\pi[/tex] is irrational because :-

3) [tex]0.21475467....[/tex] is irrational because :-

4) [tex]\sqrt{\frac{9}{16} }[/tex] is rational because :-

5) [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is irrational because :-

Answer:

A

Step-by-step explanation:

Answer:

♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️

Answer:

27

Step-by-step explanation:

3 times 3 times 3

length times width times height

I hope this helped!

Answer:

27

Step-by-step explanation:

Answer:

6c = b

Step-by-step explanation:

6 cups of flour for each batch of bread, so 6c;

b is the batch of bread.

So basically,

6c = b

Answer: 3,052.08

Step-by-step explanation: 4/3 * pi * 18/2

Answer:

144.44 yd

Step-by-step explanation:

Answer:

-9x^2 - 9x + 18

Step-by-step explanation:

-9 • (x - 1) • (x + 2)

-9x + 9 • (x + 2)

-9x^2 -18x + 9x + 18

-9x^2 - 9x + 18

Answer:

y = - 9x² - 9x + 18

Step-by-step explanation:

y = - 9(x - 1)(x + 2) ← expand factors using FOIL

   = - 9(x² + x - 2) ← distribute parenthesis by - 9

y = - 9x² - 9x + 18 ← in standard form

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Answer:

1400.

Format :

(50 x 14) 2

So first you know that the smaller sides are 14cm. add 14 + 14 to get 28. search up the rest.

As an inequality, the number that is less than 0.4 is 0.09

The number is given as:

0.4

Let the number be represented as x.

So, we have:

x < 0.4

From the list of given options, the possible value of x is 0.09.

This means that 0.09 is less than 0.4

i.e 0.09 < 0.4

Hence, the number that is less than 0.4 is 0.09

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Answer:

x=3/4

Step-by-step explanation:

Given:

f(x) = x-1

g(x) = 2x²+3

Evaluate composite functions:

f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2

g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5

Set expressions equal to each other and solve for x:

2x²+2 = 2x²-4x+5

2 = -4x+5

-3 = -4x

3/4 = x

x = 3/4

Therefore, the value of x=3/4 satisfies both composite functions

Answer:

A)

Step-by-step explanation:

it is clearly reduced so you can eliminate the middle two options as answers;

reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction

Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]

Answer:

both camlps

Step-by-step explanation:

Answer:

B.) Prisoners attacked and killed SS men and guards.

Step-by-step explanation:

edge