Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac

Answer: 14/15

Step-by-step explanation:

[tex]9x=10x-x[/tex]

Divide both parts of the equation by 9:

[tex]\displaystyle\\x=\frac{10x-x}{9}\\\\x=0,9333333...\\\\Hence,\\\\x=\frac{10*0,933333...-0,9333333...}{9} \\\\x=\frac{9,333333...-0,933333...}{9} \\\\x=\frac{8,4}{9} \\\\x=\frac{8,4*10}{9*10} \\\\ x=\frac{84}{90}\\\\x=\frac{14*6}{15*6} \\\\ x=\frac{14}{15}[/tex]

a. The conditional statement p → q is true

b. The converse q → p is False.

c. The inverse p → ~q is False

d. The contrapositive -q→ ~p is True

We are given the conditional statement;

Let p be "an animal is a puppy" and let q be "it is a dog."

a) The conditional statement p → q which is "If an animal is a puppy, then it is a dog" is true.

b) The converse statement q → p which is "If an animal is a dog, then it is a puppy" is false.

c) The inverse statement p → ~q which is "If an animal is not a puppy, then it is not a dog" is false.

d) The contrapositive statement: q → ~p which is  "If an animal is not a dog, then it is not a puppy" is true.

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Answer:

what is the question?

Step-by-step explanation:

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Answer:

17/20 = 0.85

Step-by-step explanation:

Subtract

1 and 3 over 51

3

5

− 6 over 8

6

8

= 34 over 40

34

40

2.

Step 2 of 2: Simplify.

34 over 40

34

40

= 17 over 20

17

20

Answer:It means you would have spent $36 below zero and now you owe the bank some money

Step-by-step explanation:

The value of f(0) is -1

A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.

Given the function;

f(x)= -x - 1

To determine f(0), we substitute the value of x as 0 in the function

So, we have;

f(0) = -(0) - 1

f(0) = -0 - 1

f(0) = -1

Thus, the value of f(0) is -1

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The quotient of the fraction 4/12 ÷ 1/12 is 4.

So, evaluation of 4/12 ÷ 1/12:

Therefore, the quotient of the fraction 4/12 ÷ 1/12 is 4.

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=======================================================

Explanation:

The square marker in the top left corner tells us we have a 90 degree angle. The 8x+10 must also be 90 degrees for lines u and v to be parallel. Refer to the alternate exterior angle theorem. Ignore the diagonal lines. Your teacher likely put them there as a distraction.

8x+10 = 90

8x = 90-10

8x = 80

x = 80/8

x = 10

Step-by-step explanation:

the ratio between two circles vqjoizxcvu g çm

The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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Answer:

y = -11

Step-by-step explanation:

23 + 18y = -21 + 14y

Combine like terms

18y - 14y = -21 -23

Do the math

4y = -44

Divide both sides by 4

y = -11

Answer:

The median is: 5

Hope this helps! <3

Answer:

Step-by-step explanation:

5

Answer:

h = 7

Step-by-step explanation:

We are given the equation A=bh , and need to work out the unknown variable .

So we substitute the values of A and b given :

70 = (10)(h)

70 = 10 × h

Divide both sides by 10 :

70 ÷ 10 = h

h = 7

Hope this helped and have a good day

Answer:

x= 5

Step-by-step explanation:

2x+ 15=25

-15 -15

2x= 10

/2 /2

x=5

Answer:

x = 5

Step-by-step explanation:

2x + 15 = 25

2x + 15 - 15 = 25 - 15            (subtract 15 from both sides)

2x = 10

2x/2 = 10/2                           (divide by 2 on both sides)

x = 5

Step-by-step explanation:

[tex] = (2 {a}^{ - 5} ) \times ( - 5 {a}^{9} )[/tex]

[tex] = (2 \times ( - 5)) {a}^{ - 5 + 9} [/tex]

[tex] = - 10 {a}^{4} [/tex]

Answer:

230

Step-by-step explanation:

This year: 319 total; 33 unpopular

Last year: 394 total; 197 unpopular

Total songs over both years 319 + 394 = 713

Total unpopular over both years 713 - 483 = 230

3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

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The 5 ordered pairs whose second component is the opposite of the first component are (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).

Ordered pairs:

An ordered pairs is a composition of the x coordinate and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

It can be written as (a,b).

Here

a represents the x coordinate and

b represents the y coordinate.

It helps to locate a point on the Cartesian plane for better visual comprehension.

Given:

The second component is the opposite of the first component.

Here we need to find the 5 ordered pairs for that.

For the given statement,

Let x be the first component and y be the second component.

So it can be written as,

=> y = -x

So, the five ordered pairs are,

=> 1 = -1

=>2 = -2

=> 3 = -3

=> 4 = -4

=> 5 = -5

So, the ordered pairs are,

(x,y) => (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).

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Mel should make 12 bracelets.

Here, we are given that Mel makes arm bracelets.

She is making a bracelet for each arm of her 6 friends.

We know that a humans by default have 2 arms each.

We will assume that all of her 6 friends have 2 arms each.

Thus, 6 of her friends will get 2 bracelets each, one for each arm.

This means that the total number of bracelets Mel should make will be given by-

2 + 2 + 2 + 2 + 2 + 2

or we can also write this as

2 × 6

6 times 2 is equal to 12.

Thus, Mel should make 12 bracelets.

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So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434

Perimeter of any close shape is the total length of the boundary of any closed shape.

We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$[/tex]

side UV:

[tex]$U V=\sqrt{(-2-3)^2+(4-4)^2}=5$[/tex]

side VW:

[tex]$V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$[/tex]

side UW:

[tex]$U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$[/tex]

So the perimeter is:

P=UV+VW+UW

[tex]$P=5+8+9.434=22.434$[/tex]

So the perimeter is: 22.434

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Amount of shampoo in the original bottle is 15.0376 ounces.

Larger bottle of shampoo contains = 20 ounces

Let, amount of shampoo in the original bottle = x ounces

33% of amount of shampoo in the original bottle = ((33x)/100)

According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write

20 = x + ((33x)/100)

⇒ 20 = x + 0.33x

⇒ 20 = 1.33 x

⇒ x = 20/1.33

⇒ x = 15.0376

Amount of shampoo in the original bottle is 15.0376 ounces.

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A "meta-analysis" is a statistical procedure for combining the findings of multiple studies to reach a single conclusion.

Meta-analyses are more rigorous and quantitative than both kinds of reviews.

Some main points related to meta-analysis are-

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The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

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Answer: y = 8

Step-by-step explanation:

      Point-slope form is written as y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ([tex]x_1[/tex] , [tex]y_1[/tex]) are points on the line.

      First, we need to find the slope. This can be found with change in y over change in x:

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{8-8}{-4--4}=\frac{0}{-4+4}=\frac{0}{0}=[/tex] undefined

      Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x - [tex]x_1[/tex]) is, the right side of the equation will always be 0.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - [tex]y_1[/tex] = (0)(x - [tex]x_1[/tex]) ➜ y - [tex]y_1[/tex] = 0

      Lastly, we will take the y-value of 8 and plug it into the equation and simplify.

y - [tex]y_1[/tex] = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8

      y = 8

See attached for a visual explanation.

Answer: u

Step-by-step explanation: go over 1 up 4

The function rule for the table is y = 25/4 x

The standard expression for a linear function is expressed as y =mx + b

where

m is the slope

b is the y-intercept

Using the coordinate points (4, 25.00) and (8, 50.0)

Determine the slope

Slope = 50-25/8-4

Slope = 25/4

Determine the y-intercept

50 = 25/4(8) + b

50 = 25(2) + b

50 = 50 + b

b = 0

Hence the function rule for the table is y = 25/4 x

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