There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.

By Pythagorean theorem

12

2

+

x

2

=

15

2

⇒

x

2

=

15

2

−

12

2

=

81

⇒

x

=

√

81

=

9

ft

The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.

The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.

The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.

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(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

(b) The possible numbers are 8.45 to 8.49, inclusively

Answer:

Table is below in explantation

Not proportional

yes, linear

Step-by-step explanation:

We substitute and solve:

TABLE:

X --> Y

0 --> -2 (0-2 = -2)

1 --> -1

2 --> 0

Yes, it is linear, the slope is 1 and is written in slope - intercept form

No, not proportional, the y - intercept is (0, -2) not (0,0)

Answer:

[tex]x^{2}[/tex] - 2x - 24

Step-by-step explanation:

(x + 9)(x - 2) - 9x - 6

[tex]x^{2}[/tex] - 2x + 9x - 18 - 9x - 6          Multiply.

[tex]x^{2}[/tex] - 2x - 24                              Combine the like terms.

the answer is 5 hope this helps lol

Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements

Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.

Answer: The incenter

Step-by-step explanation:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.

Answer:

1. 0.0692156863

2. 0.5761904762

3. 0.3969565217

4. 2.030769231

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 2 operations happening on the left side to x.

1. x is being multiplied by -4.

2. 2/5 is being added to -4x.

If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.

To solve an equation or an inequality, you do the opposite operation in the opposite order.

Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.

Answer: B

Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x     y

−7    0

0    −4

Step-by-step explanation:

Answer:

1.24

Step-by-step explanation:

start by multiplying each term by the LCM which is 5

then you ahead and simply the equation

Answer:

0.5cups / [tex]\frac{1}{2}[/tex] a cup

Step-by-step explanation:

The given terms in the question can be added by collecting like terms. So that the addition is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

The addition of terms involve adding like terms so as to simplify the final expression.

Thus considering the terms in the given question, the addition would give:

(8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex]) + (4

open the brackets and collect like terms to have;

8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

Therefore on adding the given terms, the expression derived as answer is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

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Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).

Step-by-step explanation:

Answer:

Step-by-step explanation:

320000 is your answer

Answer:

I hope this helps.

Step-by-step explanation:

The quotient of 5 divided by q minus the product of 5 and q.

Answer: (5/q-5q)

The product of 5 and the difference of q minus 5.

Answer: (5(q-5)

The quotient of q divided by 5 plus the product of 5 and q.

Answer: (q/5+5q)

The sum of 5 and the product of 3 times q.

Answer: (5+3q)

The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.

Let the height of the cliff be represented by h, so that:

From the triangle 1, we have:

tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]

⇒ h = tan [tex]32^{o}[/tex]*x

    h = x tan [tex]32^{o}[/tex] ............. 1

Also, from the bigger triangle, we have:

tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]

⇒ h = tan [tex]24^{o}[/tex] (80 + x) .........  2

Now equating the expressions for h in equations 1 and 2, we have:

x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)

0.6249x = 0.4452 (80 + x)

               = 35.616 + 0.4452x

0.6249x - 0.4452x = 35.616

0.1797 x = 35.616

x = [tex]\frac{35.616}{0.1797}[/tex]

x = 198.2 m

Substitute the value of x in equation 1;

h = x tan [tex]32^{o}[/tex]

  = 198.2 * 0.6249

 = 123.8552

h = 123.86 m

Therefore, the height of the cliff is approximately 123.86 m.

A sketch to this question is attached.

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Answer:

(24 × 3 × 5) / (25 × 33) =

((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =

(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =

(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =

(20 × 1 × 5)/(2 × 32) =

(1 × 1 × 5)/(2 × 32) =

5/(2 × 32) =

5/(2 × 9) =

5/18

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

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Answer:

11, 15

Step-by-step explanation:

They both occur two times so they are tied for mode so both numbers is the answer

Answer: 21x-5

Step-by-step explanation:

All you have to do is subtract like you normally would and you'll get the answer

Answer:

4*4j +2h*2 = 16j + 4h

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

Answer:

x = 10

Step-by-step explanation:

The value x is 10 units.

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.

Given that, segment DE is a midsegment of triangle ABC.

According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore, DE = 1/2 AB

5 = 1/2x

x = 5×2

x = 10

Hence, the value of x is 10 units.

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Answer:

y = 2x - (3/2)

standard equation is

y = mx + c

c is the y intercept

m is the gradient/slope

so

2 is the slope (m)

Answer:

Slope = 2

Step-by-step explanation:

Our equation: y = 2x - 3/2

=> Given equation: y = mx + b

Now, let's compare:

=> y = mx + b = y = 2x - 3/2

=> We can tell that the slope is m, which is 2.

Hoped this helped.

Answer:

20(95+6d)+16(200+9d)

Step-by-step explanation:

I'm not so sure about this question since I'm also learning about algebra right now.

But we know there's 20 game booths that costs 95$ and 6$ for d days

if so first we need to know how much 1 booth cost, which is $95 plus $6 per day and as an expression: 95+6d. Then there's 20 booths so we multiply it, and we need to add parentheses according to the priority rule. So it should be 20(95+6d)?

then food booths are 16(200+9d)

then we add them so

20(95+6d)+16(200+9d)

Answer:

4

Step-by-step explanation:

200 * 1 1/2 = 300 miles traveled

300/75 = 4 hours

Use PEDMAS for order of operation:

a: 100 – 8 × √25 + 3

First solve the root:

100 – 8 × 5 + 3

Next multiply:

100 - 40 + 3

Now solve from left to right:

100-40 = 60

60+3 = 63

Answer: 63

b. 100 – (11 – 4)² × 2

First parentheses:

100 - 7^2 x 2

Next the power:

100 - 49 x 2

Multiplication:

100 - 98 = 2

Answer: 2