Answer: 2x^2 - 4x - 2 (first option)
Step-by-step explanation:
To solve (3x^2 + x -3) - (x^2 - 5x + 1), first you have to simplify it. you would put 3x^2 and - x^2 together, x and -5x together, and -3 and 1 together. This simplifies to 2x^2 - 4x - 2. Hopes this helps
You need a 55% alcohol solution. On hand, you have a 550 mL of a 95% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
Answer:
We need to add 400 ml of pure water to obtain the solution at 55%
Step-by-step explanation:
Concentration
The concentration of a solution measures the amount of solute that has been dissolved in a given amount of solution. The question states the alcohol is the solute and water is the solvent to produce the mix or solution.
The concentration can be calculated with the formula:
[tex]\displaystyle c=\frac{solute}{solute+solvent}*100\%[/tex]
Originally, the mixture was 95% concentrated.
Substituting in the formula:
[tex]\displaystyle 95\%=\frac{solute}{solute+solvent}*100\%[/tex]
We know there were 550 ml of solution (solute+solvent), thus
[tex]solution*0.95=solute=522.5\ ml[/tex]
Now we know there were 522.5 ml of alcohol.
We now need to add x ml of water to have a 55% concentrated solution. Recall that water is solvent, the solute keeps its original value, thus:
[tex]\displaystyle 55\%=\frac{solute}{550+x}*100\%[/tex]
Operating:
[tex]0.55(550+x)=522.5[/tex]
Dividing by 0.55
[tex]550+x=950[/tex]
Thus [tex]x=950-550=400[/tex]
We need to add 400 ml of pure water to obtain the solution at 55%
Question 3
10 pts
A line segment has a length of 10 units. The line segment undergoes a Reflection over the line y=-2.
The length of the image will be
the same as
Mthe length of the pre-image because
(Select)
V
Reflections are
motions.
Question 4
10 pts
Triangle POR is rotated on the coordinate plane to obtain triangle PQR
Answer:
add a picture?
Step-by-step explanation:
d/4-9=-3
Type only the number for "d".
d/4-9=3
d/4=12
d=48
hope this helps! :D
There are 11 students in your class. In how many ways a group of 4 students will be
selected to participate in a social campaign such that you will always be included in
the group to lead the event?
Answer:
Step-by-step explanation:
If you are always included to lead, that leaves 10 students to choose from.
If all that is important is being selected, then there are 10C3 = 120 ways to choose them.
If each selection has a unique duty, then there are 10P3 = 720 ways to assign them their jobs.
Answer: 10P3=720
Step-by-step explanation:
find the percent change from 50 to 22
Answer:
28
Step-by-step explanation:
50 - 22 = 28
Answer:
56% decrease or -56.00%
Step-by-step explanation:
1) Find the difference between 50 and 22 as a number.
2) Divide the result from Step 1 by the starting number 50.
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
The three steps above can be made into a formula. Thus, to find the percent change from 50 to 22, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 50, and Y is the ending number 22 that it changed to When we enter these numbers into the formula, we get:
((22-50)/50)*100 = -56.00%
Write an integer to represent a 6 yard loss in football.
Answer: - 6.
Step-by-step explanation:
The set of integers is the set of the whole numbers. {..., -1, 0, 1, 2, ...}
We want to represent a loss by 6 yards in football.
Because this is a loss, we should use a negative number, then we can use:
-6
This represents the number of yards by which your team losts.
Notice that I did not write the units, this is because:
-6 yards is a measure, furthermore can be "an integer number of yards"
-6 is an integer.
the train from Geneva Switzerland to Milan Italy travels at 100 miles per hour and the two cities are 200 miles apart how long does the journey from Geneva to Milan take
Answer:
2 hours
Step-by-step explanation:
Answer: the journey will take you 2 hours.
Step-by-step explanation:
There are 24 boys and 16 girls on a playground what is the ratio of boys to total number of children on the playground
Answer:
24:40 or 3:5
Step-by-step explanation:
24+16=40. 24:40 can be simplified to 3:5.
Hope this helped!
The ratio of boys to the total number of children on the playground if, There are 24 boys and 16 girls on a playground is 3 / 5.
What is ratio?
It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given:
There are 24 boys and 16 girls on the playground,
Calculate the total number of children as shown below,
The total number of children = 24 + 16 = 40
The ratio of boys to the total number of children is given as,
The ratio of boys to the total number of children = number of boys / total number of children,
The ratio of boys to the total number of children = 24 / 40
The ratio of boys to the total number of children = 3 / 5.
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6) A boat traveled 80 miles downstream and back. The trip downstream took 5 hours. The trip back took
10 hours. What is the speed of the boat in still water? What is the speed of the current?
Answer:
12 mph and 4 mphStep-by-step explanation:
Let the speed of the boat = b and the speed of the current = cEquations to reflect time, time = distance/speed:
Downstream80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16Upstream80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8Sum of the 2 equations above
b + c + b - c = 16 + 82b = 24b = 12c = 16 - 12 = 4So the speed of the boat is 12 mph
The speed of the current is 4 mph
POSSIBLE POINTS, 2
Jerry has $10. He spent $6.25 on a burger and drink. He spent the rest of his money on $0.75 corn dogs. How many
corn dogs did he purchase?
Answer:
He purchased 5 corn dogs
Step-by-step explanation:
Because $10-$6.25=3.75 and $3.75 divided by $0.75=5
A polling organization asked a nation-wide random sample of 1600 new brides (those who got married in the past 2 years) the following question: "How much money did your wedding cost?" The sample average was about $20,000 with a SD of about $5,000. What most closely resembles the relevant box model? Incorrect It has 1600 tickets marked with "0"s and "1"s. Correct: It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively. Incorrect It has millions of tickets. The average of the tickets is exactly $20,000 and the SD is exactly $5,000. Incorrect It has millions of tickets marked with "0"s and "1"s, but the exact percentage of each is unknown.
Answer:
It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.
Step-by-step explanation:
Given that:
sample size n = 1600
sample mean [tex]\overline x[/tex] = 20000
standard deviation = 5000
The objective is to choose from the given option about what most closely resembles the relevant box model.
The correct answer is:
It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.
However, if draws are made without replacement, the best estimate of the average amount for the bride will be $20,000
Similarly, the standard error for the sample mean = [tex]\dfrac{s}{\sqrt{n}}[/tex]
[tex]= \dfrac{5000}{\sqrt{1600}}[/tex]
[tex]= \dfrac{5000}{40}}[/tex]
the standard error for the sample mean = 125
Can someone please help, ty!!
Answer:
Option 1
Explanation:
The coordinates provided are found in option 1.
Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school
for Chess Club.
How many students attend Chess Club on Wednesdays?
Answer:
96
Step-by-step explanation:
to be honest i just looked it up on google
92,542 to the nearest ten thousand
Answer:
90,000
Step-by-step explanation:
92,542.
As 2 is more closer to 0 than 10. 90000 is the answer
Cynthia orders 27 prints of a photograph she took . It costs her a total of $242.73 . How much does each print cost ?
Answer:
8.99
Step-by-step explanation:
Answer:
$8.99 for each print
Step-by-step explanation:
242.73 divided by 27 = 8.99
Is .111111111... a rational number? Yes or No?
Answer:
The answer is no this number is not rational.
Step-by-step explanation:
Because, To show that the rational numbers are dense:
It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
Joe has to build a wall that has 10 rows of bricks.
There will be 142 bricks in each row.
Q. How many bricks does Joe need?
Answer:
1420 bricks
Step-by-step explanation:
10 rows x 142 bricks in each row = 1420 bricks
Find the area and the circumference of a circle with diameter 6 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
C≈18.85 cm
A≈28.27 [tex]cm^{2}[/tex]
The area of the circle is approximately 28.27 cm², and the circumference is approximately 18.85 cm.
We have,
Area of a circle: A = πr²
Circumference of a circle: C = 2πr
Radius (r) = Diameter / 2 = 6 cm / 2 = 3 cm
Area of the circle:
A = πr² = π(3 cm)² ≈ 28.27 cm²
Circumference of the circle:
C = 2πr = 2π(3 cm) ≈ 18.85 cm
Therefore,
The area of the circle is approximately 28.27 cm², and the circumference is approximately 18.85 cm.
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Use a calculator to see what would happen if you used a credit card to pay the minimum monthly payment. Calculate using the following information: Cost of computer (balance): $600 Annual percentage rate (APR): 12.9% Total duration of payments: 2 years Use the simple interest formula: A = (P)(r)(t) If you make only the minimum payment each month, what will the total cost of the computer be?
Answer:
C. $755 i got it right
Step-by-step explanation:
If you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To calculate the total cost of the computer if you make only the minimum payment each month, we need to use the simple interest formula:
A = P(1 + rt)
where A is the total amount paid, P is the principal or balance, r is the annual interest rate expressed as a decimal, and t is the time in years.
P = $600
r = 12.9% or 0.129 (annual interest rate)
t = 2 years
To find the monthly interest rate, we divide the annual interest rate by 12 (the number of months in a year):
Monthly interest rate = 0.129 / 12 = 0.01075
Now, we can use this monthly interest rate to calculate the minimum monthly payment:
Minimum monthly payment = 1% x P = 0.01 x $600 = $6
Therefore, the minimum monthly payment is $6.
To find the total cost of the computer over the 2-year period, we need to calculate the total amount paid (A) by making the minimum monthly payment each month:
A = P(1 + rt)
A = $600(1 + 0.01075 x 2 x 12)
A = $600(1 + 0.258)
A = $755.00
Therefore, if you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).
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What is the solution to -2|x-1|+3=2/5x-11/5
Answer:
x = 3x = -2(it has two solutions)
I hope this helps!
5/17 as a percentage
Hello.
Divide the two numbers, then multiply by 100.
5/17 = 0.294
0.294 * 100 = 29.4
5/17 as a percentage is 29%
(in full, 29.411764%)
Find x in the diagram below.
Answer:
80
Step-by-step explanation:
720,080 in expanded form with exponents. (7*10^5)+
Answer: 700,000 + 20,000 + 80 = 720,080
Step-by-step explanation:
put this in radical form
3 / 4 ^ 2 , ILL MARK BRAINLIST
Using each of the digits 1 to 9 once and only once form two whole numbers one of which is double the other
Pls help
What is the range of the function graphed above?!!!!
Use the distributive property to simplify each expression
(7+6w)6
Answer:
42+ 36w
Step-by-step explanation:
You multiple all numbers in the parenthesis with the number directly outside of it. 6x6=36(w) and 7x6=42. You cant simplify any further.
What is the number in standard form?
5.708×10−8
Answer:
49.08
Step-by-step explanation:
Im right trust me
What is the value of 2(7-15)
4
0 0
-2
2
4
Answer:
-16 should be the answer
Step-by-step explanation:
According to PENDAS you always to parentheses first so (7-15)= -8 you then multiply that by 2 and get -16.
Hope this helps.
Explain the mistake made
in the work shown below.
8x + 22 = 2x + 42
10x + 22 = 42
10x = 20
x=2
Answer:
The added both 8x+2x when they were suppose to subtract 8x-2x
Step-by-step explanation:
8x+22= 2x+42
6x= 42-22
6x= 20
x= 3.3 repeating
Answer:
step 2
Step-by-step explanation:
8x + 22 = 2x +42
8x - 2x +22 =42
6x + 22 = 42
6x = 42 -22
6x = 20
x = 20÷ 6
x = 10/3