PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.

Answer:

x=7/5

Step-by-step explanation:

Original dimensions

Length=11 meters

Width=5 meters

Each dimension reduced by x meters

L=11-x

W=5-x

Length/width=ratio of length/ratio of width

11-x/5-x = 8/3

Cross product

(11-x)3 =( 5-x)8

33-3x=40-8x

-3x+8x=40-33

5x=7

x=7/5

Check:

11-7/5=55-7/5

=48/5

5-7/5=25-7/5

=18/5

48/5÷18/5

=48/5*5/18

=240/90

=24/9

=8/3

Length: width=8:3

Answer:

x=5, y=1

Step-by-step explanation:

First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...

x + y = 6

x - 4y = 1

x + y = 6

-x + 4y =- 1

Now you can eliminate the x variable by addition process. It becomes like this...

x + y = 6

-x + 4y =- 1

5y=5

y = 1

Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .

When y=1, substitute into x + y = 6

x + 1 = 6

x = 6-1

x = 5

Hooray! Now you have the value of x and y.

x= 1 and y=5.

I hope you will understand my explanation. Bye!

Answer:

-7/8

Step-by-step explanation:

Answer:

i think its the answe d but not sure

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]

So the area of this triangle is 180 cm²

I hope this helped!

Answer: A) The total cost of 2 candies is $6.00.

Step-by-step explanation:

Hi, the question is incomplete,  options are :

A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.  

So, to answer this question we have to analyze the function given:

f(2)=6

Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :

A) The total cost of 2 candies is $6.00.  

Answer:

Step-by-step explanation:5

Answer:

A

Step-by-step explanation:

I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation

Answer:

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

In this problem, there are two parts. We will need to find what q is if 18% of q is 27, and what 27% of 2q is.

First, let's set up and solve the equation for 18% of q is 27.

18 / 100 = 27 / q

100q = 486

q = 4.86

Next, we'll find the value of 2q.

2(4.86) = 9.72

Finally, we'll set up a proportion and solve for 27% of 2q.

27 / 100 = x / 9.72

100x = 262.44

x = 2.6244

If 18% of q is 27, then 27% of 2q is 2.6244 (round to tenths/hundredths place as needed).

Hope this helps!! :)

Answer:

Step-by-step explanation: Let's first find the value of q

[tex]18/100 \times q = 27\\\frac{18q}{100} = \frac{27}{1}\\18q = 2700\\\frac{18q}{18} = \frac{2700}{18} \\q= 150.\\[/tex]

Now we can find 27% of 2q

[tex]27 \% \times 2q = \\27 \% \times 2(150)\\\frac{27}{100} \times 300\\\\= \frac{8100}{100} \\= 81[/tex]

Answer:

C

Step-by-step explanation:

To get the approximate number of pages in the chapters, what we need to do is to substitute for the value of x in the line of best fit equation.

Thus, we have;

y = 15.261(8) + 8.83 = 122.088 + 8.83 = 130.918

This is approximately equal to 131

Answer:

153.586 close to 154 students

Step-by-step explanation:

mean=61

standard deviation =10

sample 450 students , x between 61 and 71

(x-mean)/deviation for score 61 and 71

61-61/10=0

71-61/10=1

the z-scores is between 0 and 1 ( use calculator)

the percentage is 0.3413 close to 34%

number of students that score between 61 and 71=

450*0.3413= 153.586 close to 154 students

Answer:

infinitely many solutions

Step-by-step explanation:

0 = 0 ← is a true statement.

Indicates that the 2 lines are the same line, that is one lying on top of the other.

Thus the system has an infinite number of solutions

Because Mr. Brown arrived to an identity, we conclude that there are infinitely many solutions.

First, the solutions of a system of equations are the points (x, y) where the graphs of both equations intercept.

Particularly, if we have two times the same equation, then the graphs intercept in infinite points, which means that we will have infinite solutions.

So, always that we have an identity in our solution (something like 0 = 0) we have infinite solutions (that happens because we do not have restrictions for x or y, which means that for every value of x, we will find a point (x, y) that is a solution of the system).

Then we conclude that the system has infinitely many solutions.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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Answer:

D.the distance you drive

Step-by-step explanation:

The range of the function is the values of the output

h is the input

60h is the output

60 = miles driven = distance

Answer:

the answer would be D. the distance you drive

Step-by-step explanation:

because i took the quiz and put this answer and got it right

Answer:

task b

Step-by-step explanation:

Answer:

[tex]\boxed{x=7, \: x=-13}[/tex]

Step-by-step explanation:

[tex]|3x+9|= 30[/tex]

Solve for absolute value.

There are two possibilities.

One possibility:

[tex]3x+9=30\\3x=21\\x=7[/tex]

Second possibility:

[tex]3x+9=-30\\3x=-39\\x=-13[/tex]

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A.) 4/100

B.) 5,250,000

C.) C. 6/100

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

A) 4/100

B) 5,250,000

C) C) 6/100

Step-by-step explanation:

A) the 4 is in the hundredths place, so it’s worth 4/100.

B) 5,250,000. (250,00 is a quarter million)

C) the 6 is in the hundredths place, so it’s worth 6/100.

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:

Answer:

A.) 5

Step-by-step explanation:

the answers for me are 5, 5.5 ,6 ,6.5

A line of best fit will show that the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes

A line of best fit in a line graph is the line that allows for equal amount of outliers to the left and to the right of the line.

The line plot of the data above will have time on the horizontal axis and temperature on the vertical axis.

Plotting the points on the graph and drawing a line of best fit will show that the time at which the temperature will reach 100 °C is 6.5 minutes.

Therefore, the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes.

Learn more about line of best fit at: https://brainly.com/question/1441182

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

t = -(25/112)

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : [tex]log (a*b) = log a+logb[/tex]

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

Answer:

([tex]\frac{3}{5}[/tex] b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus

y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = [tex]\frac{3}{5}[/tex] b , thus

x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )

Answer:

( b, 0 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.

The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.

The wind turbine is 15 m tall.

Answer:

7 batches

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

Answer:

the answer is C ;D

Step-by-step explanation:

Answer:

( 3u +12) / (v^2+4)

Step-by-step explanation:

(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)

Since the denominators are the same, we can add the numerators

((-u+3) + ( 4u+9)) /( v^2+4)

Combine like terms

( 3u +12) / (v^2+4)