the dimensions of a block of stamps are 30 cm wide by 20 cm high. the same number of stamps could also have been arranged in a block 24 cm wide. How high would this second block be?

Answer:

V = 225 cm²

Step-by-step explanation:

The volume of a prism is the product of the base's area and the height

the base of this prism is triangular

the area of a triangle is given by the formula :

b is the base(6cm) and h the height (5cm)

So the volume is

Answer:

225 cm³

Step-by-step explanation:

Area of cross-section × length = Volume of a triangular prism

Area of cross-section is the area of the triangle section.

Area of cross section:

5 × 6 × 0.5

30 × 0.5

= 15

Calculate volume:

15 × length

15 × 15

= 225

Answer: 4

Step-by-step explanation:

Answer:

4 buckets

Step-by-step explanation:

number of buckets needed = 96 / 30

= 3.2

Since 3.2 is not a whole number (buckets cannot be split into small portions), and each bucket can only hold 30 golf balls, 4 buckets are needed to hold all golf balls.

Or else, if there is only 3 buckets, only 30x3 = 90 balls can be held, meaning there are 6 left.

ok                                                         its 11 sqrt 6                                    

because if sqrt 6 is x, and 5x +6x=11x

so its 11 sqrt 6              

Answer:

Yes

Step-by-step explanation:

To make a triangle the 2 smaller sides must join together to become greater than or equal to the biggest side.

8+7=15

Therefore,

side lengths 8, 7, and 15 do create a triangle.

Hope this helps

Answer:

No, this can cannot create a triangle because to create a triangle you need two sides greater than one of the side and since 8+7=15 and 15 cannot be equal to 15 and it had to be more than 15 or so.

Possible ways to create triangle

a+b>c

a+c>b

b+c>a

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

Answer:

9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product

Step-by-step explanation:

The cost of raisins is $2.5 per pound and the cost of peanut per pound is $3.50.

Let r represent the number of raisin pound and p represent the number of peanut pound. Since 20 pounds of a new product that consists of peanuts and raisins need to be produced, it can be represented by the equation:

p + r = 20             (1)

The new product would cost $3.03, therefore:

3.5p + 2.5r = 3.03(20)

3.5p + 2.5r = 60.6          (2)

We have to solve equation (1) and (2) simultaneously. First multiply (1) by 2.5 to get 2.5p + 2.5r = 50. Subtract  2.5p + 2.5r = 50 from equation (2):

p = 10.6 pound

Put p = 10.6 in equation (1)

10.6 + r = 20

r = 20 - 10.6 = 9.4

r = 9.4 pound

9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product

Answer:

p + r = 20

[tex]\frac{3.50p+2.50r}{20}[/tex] = 3.03

Step-by-step explanation:

The total cost of the product when the peanuts and raisins are combined is:

3.50p + 2.50r

To obtain the per pound cost, this expression needs to be divided by the number of total pounds, 20.

[tex]\frac{3.50p+2.50r}{20} =3.03[/tex]

**KA's explanation**

Answer: A.    7.50 +14P < 60

Step-by-step explanation:

Let P represent the number of pizzas that Jacque buys.

Given, delivery fee =$7.50

Per pizza cost = $14

She wants to buy as many pizzas as she can, and she also needs to

keep the delivery fee plus the cost of the pizzas under $60.

i.e.  (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60

i.e. 7.50 +14P<60

Required inequality :  7.50 +14P<60

Answer:

A.    7.50 +14P < 60  Answer: Jacque can only afford 24 slices of pizza

Step-by-step explanation:

Answer:

Third option is the right choice.

Step-by-step explanation:

[tex]y=a(b)^x[/tex]   where "b", is the common ratio.

The common ratio for third table is constant for all the terms.

Best Regards!

Answer:

Step-by-step explanation:

The given set of data is 83, 71, 62, 86, 90, 95, 61, 60, 87, 72, 95, 74, 82, 54, 99, 62, 78, 76, 84, 92.

Now the stem - leaf plot will be,

5  4

6  0   1   2   2

7   1   2  4   6    8

8 2   3  4   6    7

9  0   2  5   5   9

Since range of the data = Highest term of the data - Lowest term of the data

                                       = 99 - 54

                                       = 45

Therefore, range of the data set is 45.

The range of the data is 45.

As we know that

Since range of the data = Highest term of the data - Lowest term of the data

= 99 - 54

= 45

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Answer:

Step-by-step explanation:

Atachment in 1 minute.

Answer:

N = 14348907

Step-by-step explanation:

81^5 = 3486784401

3486784401/243 = 14348907

Double Check

3486784401 / 14348907=243

So N = 14348907.

Answer:

is perpendicular to line segment  

GH

. If the length of  is a units, then the length of  is  

a

units.

Step-by-step explanation:

had to do it myself.

Answer:

Blank 1-
GH

Blank 2-
a

AB is perpendicular to line segment GH. If the length of EF is a units, then the length of GH is a units.

Step-by-step explanation:

I got it correct

C.

Because the marble is not replaced and that affects the next event where another marble is chosen.

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

Now,

A. Rolling an odd number, and then rolling an even number.

This is an independent event.

B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.

This is an independent event.

C. You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

D. You roll a 4 and then spin yellow on a spinner.

This is an independent event.

Thus,

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

Learn more about probability here:

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

4x + y + 1 = 0

y = - 4x - 1

Comparing with the above formula

Slope / m = - 4

Since the lines are parallel their slope are also the same

That's

Slope of the parallel line is also - 4

Equation of the line using point ( 1 , 2) is

y - 2 = -4(x - 1)

y - 2 = - 4x + 4

4x + y - 2 - 4

We have the final answer as

Hope this helps you

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

Answer:

C and D

Step-by-step explanation:

A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:

1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.

2. Max value: the largest value in the data set indicated at the end of the whisker to our right.

3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.

4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.

5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.

The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.

Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.

The correct choices are option C and D.

Answer:

x=4

Step-by-step explanation:

First you need to factor the equation. You can do this by multiplying the numbers by eachother so they have a denominatior of 12.

You would come out to have this...

((x+2)*4)/12 + ((2x-4)*3)/4=3

At this point you can combine the numerators over the common denominator.

((x+2)*4+(2x-4)*3)/12=3

You can now rewrite the equation into factored form.

5x-2/6=3

Multiply both sides of the equation by 6.

5x-2=18

move the terms not containing x to the right

5x=20

and divide by 5

x=4

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

[tex]3x - 17 = 46[/tex]

If we add 17 to both sides:

[tex]3x = 63[/tex]

Now we can divide both sides by 3:

[tex]x = 21[/tex]

So [tex]x = 21[/tex].

Hope this helped!

Answer:

11

Step-by-step explanation:

1650/15/10 = 11

Answer:

C. (0, 14)

Step-by-step explanation:

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

y = mx + b

b = 14

The value of y - intercept of the function are,

⇒ (0, 14)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

the two functions given below.

⇒ f(x) = -3x+5

And, g(x) = f(x)+9

Hence, We get;

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

So, The value of y - intercept of the function are,

⇒ y = 14

⇒ (0, 14)

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Answer:

7182

Step-by-step explanation:

All you shoud do is to replace x by 9

● y = 10 * 9^3 -12*9

● y = 7182

Answer:

Nickels=29

Dime=30

Pennies=35

Step-by-step explanation:

Nickels=$0.05

Dime=$0.10

Pennies=$0.01

Total value=$4.80

Let quantity of

Pennies=p

Nickels=n

Dimes=d

d=n+1

p=n+6

0.01 *[n + 6] + 0.05n + 0.10*[n+1] =4.80

Open parenthesis

0.01n+0.06+0.05n+0.10n+0.10=4.80

0.16n+0.16=4.80

0.16n=4.80-016

0.16n=4.64

n=29

Pennies=n+6

=29+6

=35

Dime=n+1

=29+1

=30

Answer:

[tex]\large \boxed{\sf \bf \ \ \text{The solutions are }(2,4) \text{ and } (-2,-4) \ \ }[/tex]

Step-by-step explanation:

Hello, this is the same kind of question that you have already posted( brainly.com/question/17141820).

I would suggest that you check my previous answer and try to apply the same logic here. When you try it if you have any question please let me know. It will be the more efficient way for you to learn how to solve it by yourself.

As I have already provided details for the previous question I will be more succinct here.

Again we can write y = y and then we have to solve the following.

[tex](x+1)^2-5=2x\\\\x^2+2x+1^2-5-2x=0\\\\x^2-4=x^2-2^2=(x-2)(x+2)=0\\\\x=2 \ \ or \ \ x=-2[/tex]

The solutions are (2,4) and (-2,-4)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

cos theta = -3/5

Step-by-step explanation:

Answer:  [tex]cos\theta=-\dfrac{3}{5}[/tex]

Step-by-step explanation:

[tex]sin\theta = \dfrac{y}{r}=\dfrac{4}{5}[/tex]

Step 1:  Use Pythagorean Theorem: x² + y² = r²  to find the x-value

x² + 4² = 5²

x² + 16 = 25

      x² = 9

       x = 3

Step 2: Use the Quadrant to determine the sign of the x-value

                 Quadrant II                          Quadrant I

                     (--, +)                                     (+, +)

                 Quadrant III                          Quadrant IV

                     (--, --)                                     (+, --)

x is negative in Quadrant II

[tex]cos\theta=\dfrac{x}{r}=\large\boxed{-\dfrac{3}{5}}[/tex]

Answer:

The critical points are 12 and 0.

Step-by-step explanation:

We have that the critical numbers are those values that result from equating the derivative of a function to zero. Also called roots or zeros of the derived function.

IF f is defined in x, it will be said that a is a critical number of f if f '(x) = 0 or if f is not defined in x.

Now the function is:

f (x) = x ^ 2 / (x -6)

we have that the derivative of the quotient is:

(f / g) '= (f' * g - g '* f) / g ^ 2

we replace and we have:

f (x) = [2 * x * (x-6) - 1 * x ^ 2] / (x -6) ^ 2

simplifying we have:

f (x) = [x ^ 2 - 12 * x] / (x -6) ^ 2

this must be equal to 0, like this:

 [x ^ 2 - 12 * x] / (x -6) ^ 2 = 0

we solve:

x ^ 2 - 12 * x = 0

x * (x - 12) = 0

Thus:

x = 0

x - 12 = 0 => x = 12

The critical points are 12 and 0.

Complete question is;

A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2. Calculate the probability that the car experiences its first failure in the last quarter of some calendar year.

Answer:

Probability = 0.2052

Step-by-step explanation:

I've attached the explanation to this answer.

Answer:

22.8

Step-by-step explanation:

Answer:

Distance travel by Drew = 1,315.21 feet (Approx)

Step-by-step explanation:

Given:

Total block in north = 3

Total block in west = 3

1 block = 310 feet

Find:

Distance travel by Drew

Computation:

Total distance in north = 3 × 310 = 930 feet

Total distance in west = 3 × 310 = 930 feet

Distance travel by Drew = √Total distance in north² + Total distance in west²

Distance travel by Drew = √930² + 930²

Distance travel by Drew = √864,900 + 864,900

Distance travel by Drew = √1,729,800

Distance travel by Drew = 1,315.21 feet (Approx)

Answer:

Domain { -3, -1 ,1}

Step-by-step explanation:

The domain is the input values

We write them in order from smallest to largest with out repeating any numbers

Domain { -3, -1 ,1}