A car traveling on the taconic parkway travels 84 miles in two hours.

Answer:

[tex]10 \sqrt{3} {cm}^{2} [/tex]

Step-by-step explanation:

The area of a parallelogram is A=bh.

From the diagram, the base is b=5m

We now use the properties of 30°-60°-90° right angle to find h.

The sides of this triangle is given by x,½x,½x√3

Where x is 4

Therefore we have 4,2, 2√3

So we have h=2√3m

The area now is

[tex]A = 5 \times 2 \sqrt{3} = 10 \sqrt{3} {cm}^{2} [/tex]

a)The problem is about finding area of a plane figure

Answer:

First Problem:  $50.15

Second Problem:  $20,468

Step-by-step explanation:

First Problem:  If the original price is $41.00 and the discount is $6.15

41.00 - 6.15 = $34.85 is the discounted price

34.85 / 41.00 = 0.85 -> this shows the amount that you pay from the original price

So if the other product costs $59.00 you just do 59.00 * 0.85 = $50.15

This shows that %85 of the original cost is what you pay.

Second Problem:  So, the first amount sold is 160 tickets and the price for each ticket is $59.50.

160 * $59.50 = $9,520 for the afternoon batch

If they sold %15 more in the evening that means that they sold 160 tickets plus another %15 of the 160.

160 * 1.15 = 184 tickets sold in the evening

184 * $59.50 = $10,948 for the evening batch

So they sold a total of $9,520 + $10,948 = $20,468

Answer:

44)  $50.15

45) $20,468

Step-by-step explanation:

44)  $ off sweater = 6.15

41.00 - 6.15 = 34.85

6.15 ÷ 41.00 = 0.15 = 15% discount

$59.00 - 15%

$50.15

45)

Afternoon = 160 tickets

Evening = 15% more = 160 + 15% = 184 tickets

160 + 184 = 344 tickets total

344 * $59.50 = $20,468

Hope this helps :)

Answer:

1,81, AND 100

Step-by-step explanation:

A PERFECT SQUARE IS A NUMBER THAT WHEN YOU MULTIPLY A NUMBER BY ITSELF, YOU WILL GET THAT NUMBER

1*1=1

9*9=81

10*10=100

After simplifying the expression 2(3a-2)+4a, we get 10a-4, which is not equivalent to 10a-2 due to a difference of 2.

To determine if the expression 2(3a-2)+4a is equivalent to 10a-2, we must simplify the former expression.

First, distribute the 2 into the parenthesis: 2 × 3a is 6a, and 2 × -2 is -4. So we get 6a - 4.

Next, we add the 4a that is outside the parenthesis to the 6a we got after distribution: 6a + 4a equals 10a.

Now we have 10a - 4. This is close to 10a-2 but there is a difference of 2. Therefore, the two expressions are not equivalent.

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Answer:

6

Step-by-step explanation:

This is a disguised GCF problem. If Jacqueline wants to use all the flowers she has, she must find the greatest common factor of the their numbers.

1. Determine the prime factors of each number and mark those that are common

The prime factors of 42 are 2        × 3             × 7  = 42

The prime factors of 36 are 2 × 2  × 3 × 3 × 3       = 36

The prime factors of 54 are 2        × 3 × 3 × 3        = 54

2. Multiply the common factors

The common prime factors of 42, 36. and 54 are 2 and 3.

The greatest common factor is 2 × 3 = 6.

Jacqueline can make six bouquets, and each will contain seven tulips, six carnations, and nine daffodils.  

Answer: The answer is 6

Step-by-step explanation:

Answer:

=0.4

Step-by-step explanation:

1/3= 0.33

5/6=0.83

Then: 0.33/0.83 = 0.4

You can also do 6/15 which results from (1*6)=6 and (3*5)=15

The larger number is 66 and the smaller number is 14.

Step-by-step explanation:

Let,

The larger number = x

The smaller number = y

According to given statement;

x-y=52     Eqn 1

5y = x+4   Eqn 2

From Eqn 2

x = 5y-4    Eqn 3

Putting value of x from Eqn 3 in Eqn 1

[tex]5y-4-y=52\\4y=52+4\\4y=56[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{56}{4}\\y=14[/tex]

Putting y=14 in Eqn 3

[tex]x=5(14)-4\\x=70-4\\x=66[/tex]

The larger number is 66 and the smaller number is 14.

Keywords: linear equation, substitution method

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Answer:

160

Step-by-step explanation:

Answer:

y-8+3y+12

4y+4

Step-by-step explanation:

y-8+3y+12

4y+4 is your answer

Answer: 25 percent of the class did not pass

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

First combine like terms:

14x + 40 = 180

Second subtract 40 from both sides:

14x = 140

Third divide both sides by 14:

x = 10

Answer:

8/27 is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

Answer:

139

Step-by-step explanation:

Substract 41 from 180 assuming line LN is a straight line. the angles are supplementary

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

The linear equation that passes through the point (2, -9) with a slope of -5 is y = -5x + 1.

To find the linear equation, we use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Here,

m is the slope and (x₁, y₁) is a point on the line.

Given:

Substitute the values into the point-slope form equation:

y - (-9) = -5(x - 2)

Simplify the equation:

So, the linear equation in slope-intercept form is y = -5x + 1.

Answer:

12 feet

Step-by-step explanation:

Perimeter=all 4 sides added up

So perimeter=14+14+w+w, if w is width

52=28+2w

24=2w

w=12

Answer:

(x + 1)(x + 8)

Step-by-step explanation:

Given

x² + 9x + 8

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 9)

The factors are + 1 and + 8, since

1 × 8 = 8 and 1 + 8 = 9, thus

x² + 9x + 8 = (x + 1)(x + 8)

A term with no variables is a constant term. Negative six is the constant in that because it does not have a variable like the other numbers.

Answer:

Constant Term

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1\ L=1,000\ mL\Rightarrow1\ mL=\dfrac{1}{1,000}\ L=0.001\ L\\\\0.743\ mL=0.743\cdot0.001\ L=0.000743\ L[/tex]

2 bottles divided by 6 people = 2/6 which equals 1/3.

Answer:

PR=8; ST=5

Step-by-step explanation:

Find PR:

PQ=PR

8=2x

x=4

PR=2x=2(4)=8

Find ST:

TU=ST

2z+3=5z

3=3z

z=1

ST=5z=5(1)=5

Answer:

6.375 cups of raisins

Step-by-step explanation:

The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.

So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:

(4.25 ÷ 2) × 3 = 6.375

Answer:

Step-by-step explanation: they both equal 2x + 4

2x + 4=2(x + 4)

2x + 4= (2 X x) + (2 X 4)

2x + 4= 2x + 4

Answer:

Step-by-step explanation:

Answer:

A- 170$

Step-by-step explanation:

The approximate six month premium is $170.

A linear equation is an equation in which there is one variable that is raised to the power of 1. An example is x + 2

In order to determine the six month premium, substitute for d and b in the given equation:

P = 2 x 1.02 x $500 = $1020

Monthly premium = $1020 / 6 = $170

Here is the complete question:

Jerome uses the formula, P = 2DB, to find his approximate six-month premium when his driver risk factor, D, is 1.02 and the basic six-month premium is $500.What will his monthly premium be?

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Answer:

4

Step-by-step explanation:

Factor of 8n = 2x2x2n

Factor of 12m = 2x2x3m

GCF = 2x2 = 4

Answer:

$2,225.54

Step-by-step explanation:

Principal, p = $1000

interest rate r = 16% 0r 0.16

years of deposit, t = 5

Finding ending balance below

Since interest compounded continuously,

Substitute the following values

p = $1000, e = exponent, r = 0.16 and t = 5

B = 1000e^((0.16)(5))

=1000e^(0.8)

=1000 X 2.2255409284924676

=2,225.5409284924676

Which B is approximately $2,225.54

Ending balance =$2,225.54

Assuming the amount of  $1,000 was invested at an interest rate of 16%, compounded continuously, for a period of five years, what the ending balance will be is: $2,225.54

p represent Principal = $1000

r represent Interest rate= 16% or 0.16

t represent=5 years  

Now let determine the ending balance

Ending balance= $1000e^(0.16)(5)

Ending balance=$1000e^(0.8)

Ending balance=$1000 X 2.2255409284924

Ending balance=$2,225.5409284924

Ending balance=$2,225.54 (Approximately)

Inconclusion if  the amount of  $1,000 was invested at an interest rate of 16%, compounded continuously, for a period of five years, what the ending balance will be is: $2,225.54

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Answer:

You cant Simplify it an further

Answer:

0.1676

Step-by-step explanation:

Answer:

ur numbers are 2 and -5

Step-by-step explanation:

7x + 3y = -1

x + y = -3......x = -3 - y

7(-3 - y) + 3y = -1

-21 - 7y + 3y = -1

-7y + 3y = - 1 + 21

-4y = 20

y = -20/4

y = -5 <====

x = -3 - y

x = -3 - (-5)

x = -3 + 5

x = 2 <====

Answer: The numbers are 2 and -5

Step-by-step explanation:

7x+3y=-1  ...(equation 1)

x+y=-3    ...(equation 2)

x+y=-3

Broken down, we have x=-3-y

Substitute x=-3-y into equation 1

Then we have 7(-3-y) +3y=-1

Which is -21-7y+3y=-1

which is -21-4y=-1

-4y=-1+21=20

y=-20/4=-5

y=-5

Substitute y=-5 into equation 1  

x+y=-3

x-5=-3

x=-3+5=2

x=2

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.

Brittany graphs the plot (6,3), she should move 6 units to the right then 3 units up.

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

How to solve?

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right and then 3 units up. This is a location where she should plot the point.

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Answer: If it is on a coordinate plane, (-1,-4) would be in quadrant 3. (1,4) would be in quadrant one.

Step-by-step explanation:

quadrant 1 is both positive numbers (both the x and the y axis).

quadrant 2 is when the x axis is negative and the y axis is positive.

quadrant 3 is when both the x and y axis is negative

quadrant 4 is when the x axis is positive and the y axis is negative.