please help me work this out! set up and solve a quadratic equation to work out the value of x
Answers
Answer:
x = 8
Step-by-step explanation:
✔️Area of the square = s²
Where,
s = (2x - 4)
Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)
= 4x² - 8x - 8x + 16
Area of square = 4x² - 16x + 16
Area of rectangle = L × W = (3x - 6) × x
= 3x² - 6x
✔️Since both have the same area, therefore,
4x² - 16x + 16 = 3x² - 6x
Collect like terms
4x² - 3x² - 16x + 6x + 16 = 0
x² - 10x + 16 = 0
Factorize
x² - 2x - 8x + 16 = 0
x(x - 2) -8(x - 2) = 0
(x - 2)(x - 8) = 0
(x - 2) = 0 or (x - 8) = 0
x = 2 or x = 8
If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)
So the value of x cannot be 2 because the length of any of the shape cannot be 0.
So therefore, the value of x = 8
Related Questions
Tyler has 30 marbles 40% of his marbles are blue how many of his marbles are blue
Answers
Answer:
12 marbles are blue.
Step-by-step explanation:
3 x 4 = 12, so 40 % of 30 is 12.
I need help with math anyone points and brainlest
Answers
Answer:
B. the squares
Step-by-step explanation:
2 times 2.5 is 5
Answer:
The second option with the square.
2 x 2.5 = 5
2.5 is the scale factor
i need help due tonight
Answers
Answer:
Y=6
Step-by-step explanation:
5(6)+1=31
30+1=31
Answer:
y=6
Step-by-step explanation:
5y+1=31
simplify
5y=30
divide both sides by 5
y=6
PLEASE HELP!!!
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.
How much more will she be earning per hour at her new job?
Answers
Answer:
$7.29 per hour at her new job.
Step-by-step explanation:
Answer:
$3.60
Step-by-step explanation:
Her hourly wage at her old job is 729/45 or $16.20 per hour. If her salary is increased by 10% then her wage weekly is $801.90. If her hours are reduced by 10% then she has to work 40.5 hours per week. This means you have to do 801.90/40.5 to get $19.80 per hour. So according to my math here she will make $3.60 more per hour at her new job. (Double check to make sure I'm correct)
How is this
11% as a decimal??
Answers
Answer:
0.11
Step-by-step explanation:
11% as a decimal = 0.11
Is the slope positive or negative?
Answers
What is 2 3/4 miles +3 1/3 miles?
Answers
Answer:
6 1/12
Step-by-step explanation:
You first convert 2 3/4 into 2 9/12. And then you convert 3 1/3 into 3 4/12. Now both of these have the same denominator so you can add. When you add your answer should be 6 1/12
Carter is famous for his taco soup. His soup requires 2 cans of black beans for every 2 3/4 jars of salsa
His sister calls him and says she wants to make his taco soup. She says, "I put in 11 jars of salsa. How many cans of black
beans do I need to put in the soup to make it taste just like yours?"
How many cans of black beans does Carter's sister need to use?
A. 5 1/2 cans
B. 4 cans
C. 8 cans
D. 1 3/8 cans
Answers
Answer: The answer is 8 cans. Hope I helped :)
Step-by-step explanation:
wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer
Answers
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas
a = (5)
b = (3)
Work out 4a + b
Answers
Step-by-step explanation:
IF A=5, B=3
4*5+3=20+3
=23
THE ANSWER IS 23
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
Round your answer to the nearest hundredth (second) decimal place.
Answers
The tip was $7.77
I hope this helped! please mark brainliest and vote 5 stars >:)
Answer:about 8 dollars
Step-by-step explanation:
what does 6 × 7/10 equal?
Answers
6x7=42
42/10=4.2
The cost of 5 kg of potatoes is £3.20
The cost of 0.5kg of carrots is 29p
Work out the total cost of 12 kg of potatoes and 1.5 kg of carrots.
Answers
Answer:
12kg=7.68
1.5=87
Step-by-step explanation:
I found the cost per kg
Frozen Taste ice cream factory wants to analyze if the customers like its new flavor, peanut butter chocolate chip. The probability that a customer likes the new flavor is .83. If a customer is asked to taste the flavor twice within 4 hours, then what is the probability that a customer likes this flavor the first time and the second time
Answers
Answer:
0.6889 = 68.89% probability that a customer likes this flavor the first time and the second time
Step-by-step explanation:
For each time the customer is asked, there are only two possible outcomes. Either they like the flavor, or they do not. Each event is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a customer likes the new flavor is .83.
This means that [tex]p = 0.83[/tex]
What is the probability that a customer likes this flavor the first time and the second time
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.83)^{2}.(0.17)^{0} = 0.6889[/tex]
0.6889 = 68.89% probability that a customer likes this flavor the first time and the second time
what is 246 : 7 in long division
Answers
Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.
Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:
246 = dividend
7 = divisor
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:
7 ⟌ 2 4 6
Step 2:
The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
7 ⟌ 2 4 6
Step 3:
Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.
0
7 ⟌ 2 4 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
7 ⟌ 2 4 6
- 0
2
Step 5:
Move down the 2nd digit of the dividend (4) like this:
0
7 ⟌ 2 4 6
- 0
2 4
Step 6:
The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:
0 3
7 ⟌ 2 4 6
- 0
2 4
Step 7:
Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:
0 3
7 ⟌ 2 4 6
- 0
2 4
2 1
Step 8:
Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.
0 3
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3
Step 9:
Move down the last digit of the dividend (6) like this:
0 3
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
Step 10:
The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
Step 11:
Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
- 3 5
1
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 246 divided by 7 calculated using Long Division is:
35
1 Remainder
Mark as brainlist
7 |245
|21
36
35
1
35 with a remainder of 1 is the answer
A group of students organized a car wash to raise money for a local charity. In 3 hours, they washed 12 cars. If the students keep washing cars at the same rate, how many cars did they wash in eight hours?
Answers
Answer:
32 cars
Step-by-step explanation:
3 hours = 12 cars
3/3 = 1
12/3 = 4
1 hour = 4 cars
x8 x8
8 hours = 32 cars
Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation changed most of them to agree with the numbers on the mile markers along the highway. a. What level of measurement were data on the consecutive exit numbers
Answers
Answer:
The appropriate response will be "Ordinal".
Step-by-step explanation:
Consecutive exit figures would be quantified on either the 'ordinary' magnitude because they were represented progressively again from the southwestern boundary including its nation. There would seem to be a clear structure to also be accompanied whilst also numbering, as well as that there were no wide variation exit figures.
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Which equation shows the rate, r, in miles per hour, the family must drive to reach their
grandmother's house in 4 hours?
4r + 350 = 550
550 + 350 = 4r
4++ 350 = 550
T
550 - 350
Answers
Answer:
i tink is b
Step-by-step explanation:
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Let 'r' be the speed of the car in miles per hour. The family must drive to reach their grandmother's house in 4 hours. Then the equation is given as,
4r + 350 = 550
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5
in a box of colored light, 1/2 of the light are red, 1/3 of the light are blue, and 1/6 lf the lights are green. the number of lights in the box is greater than 10. what ia the smallest number of lights that could be in the box?
Answers
Answer:
Step-by-step explanation:
help find the radius
Answers
Answer:
12.5
Step-by-step explanation:
the radius of a circle is half of the diameter
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? The subway travels _________. Please make sure to label the answer.
Answers
1.5 miles bc if you add them up and multiply you get 1.5 miles.
Answer:
512 meters per second
Step-by-step explanation:
32 x 16 = 512
10 POINTS!
Samir will use 7 cups of apples to make 4 batches of applesauce. Decide whether each expression shows the number of cups of apples in one batch.
a. 7 divided by 4 Yes or no
b. 4 divided by 4 yes or no
c. 7/4 Yes or no
d. 4/7 yes or no
e. 7 times 1/4 yes or no
f. The answer is 1 3/4 yes or no
Answers
Answer:
A = yes
B = no
C = yes
D = no
E = yes
F = yes
Hope I helped!!!
. Which of the following situations is best represented by the equation y = x + 15?
1 Each student begins the candy hunt with 15 pieces of candy in their bag.
2 Emery earns $15 per hour babysitting.
3 Joshua spent $15 of his money at the movie theatre.
4 Each homeroom class has at least 15 students.
Answers
Step-by-step explanation:
= 30 djdjsbdjdbdbdu djsjsbs
I say that A best represents the equation.
The reason I say this is because the equation (y= x + 15) can be explained like this.
y= Total amount of candy (in this case since it's based on A)
x= Amount found (normally would be called earned)
15= starting amount (aka initial value)
So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.
All in all A best represents the equation Y= X + 15.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
What is the solution to this equation?
x + 14 = -6
Answers
Answer:
x = -20
Step-by-step explanation:
Does anyone know wha this could be
Answers
How do I solve Y=2/3x-1 and y=3
Answers
Answer:
Step-by-step explanation:
Put the y value where it belongs-
3=2/3x-1 Now add like terms (if you add one to negative one it cancels out)
+1 +1
4=2/3x Divide (I used a calculator)
x=6
Explain your answer !!
Have a great day
Will give brainlst
Answers
Answer:
Im having a good day!
Step-by-step explanation:
Sadly, my man got punched in the face by his brother, but getting my hair cut later today
You are painting a room that is 16 feet long, 10 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 5 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door
Answers
You will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.
Given that,
Room dimensions:
Length: 16 feet
Width: 10 feet
Height: 8 feet
Features on the walls:
Two windows:
Width: 2 feet
Height: 5 feet
One door:
Width: 4 feet
Height: 7 feet
Paint coverage:
1 gallon of paint covers 350 square feet
Calculate the area of the walls first:
Subtract the area of the windows and door area from the total wall area.
The total wall area is the sum of the areas of all four walls.
The area of each wall is calculated by multiplying the height of the room by its length.
So, the area of each wall = 8 feet (height) x16 feet (length)
The area of each wall = 128 square feet.
Calculate the area of the windows and the door.
The area of each window is calculated by multiplying its width by its height.
So, the area of each window = 2 feet (width) x 5 feet (height)
The area of each window = 10 square feet.
The area of the door is calculated by multiplying its width by its height. So,
The area of the door = 4 feet (width) x 7 feet (height)
The area of the door = 28 square feet.
Now, subtract the total area of the windows and the door from the total wall area.
Total wall area = 4 walls x 128 square feet
Total wall area = 512 square feet
The total area of the windows = 2 windows x 10 square feet
The total area of the windows = 20 square feet
The total area of the door = 1 door x 28 square feet
The total area of the door = 28 square feet
Area to be painted = Total wall area - Total area of the windows - Total area of the door
Area to be painted = 512 square feet - 20 square feet - 28 square feet
Area to be painted = 464 square feet.
Now, we can determine the number of gallons of paint needed.
Since 1 gallon of paint covers 350 square feet,
Divide the area to be painted by 350.
The number of gallons of paint needed = Area to be painted / Coverage per gallon
The number of gallons of paint needed = 464 square feet / 350 square feet/gallon
The number of gallons of paint needed ≈ 1.33 gallons.
Hence, you will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.
To learn more about rectangles visit:
https://brainly.com/question/15019502
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7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.
Answers
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Find the length of the third side. If necessary, write in simplest radical form.
3
6
Answers
Answer: 5.2 units
Step-by-step explanation:
This is a right-angled triangle which means that the missing length can be solved using the Pythagorean theorem:
c² = a² + b²
Where c is the hypotenuse
a and b are the other sides.
c = 6
a = 3
b = ?
6² = 3² + b²
36 = 9 + b²
b² = 27
b = √27
b = 5.2 units
Answer:
its 3√3
Step-by-step explanation: