D
area of a rectangle = length × width
area = (2x + 3)(x - 4) ( expand using FOIL )
= 2x² - 8x + 3x - 12 = 2x² - 5x - 12 → D
What is the solution to the system of equations below?
2x-y=10 and y=-1/2x+5
(6, 2)
(6, –2)
(–6, –22)
(–6, 8)
The correct answer is:
(x,y) = (6,2)
Option A would be the correct one.
Answer:
The answer is (6, 2).
Step-by-step explanation:
This is a system of equations so we have to replace one equation in the other one, this is:
[tex]2x-y=10[/tex] Eq. 1
[tex]y=-\frac{1}{2}x+5[/tex] Eq. 2
Replacing the Eq. 2 in the Eq. 1, we have:
[tex]2x-(-\frac{1}{2}x+5)=10[/tex]
[tex]2x+\frac{1}{2}x-5=10[/tex]
[tex]2.5x=10+5[/tex]
[tex]x=\frac{15}{2.5}[/tex]
[tex]x=6[/tex]
Now we have that x=6, we can replace it in the Eq. 2:
[tex]y=-\frac{1}{2} *6+5\\y=-3+5\\y=2[/tex]
Now y=2
From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.
A store sold 55 pairs of shoes for 85.60 each. Later all the proceeds were spent buying 100 scarves. How much does a scaf cost?
Answer:
4.28 $
Step-by-step explanation:
Given that a store sold 55 pairs of shoes for 85.60 each.
Sale proceeds = 55(85.60) = 428 dollars.
Later on 100 scafs were purchased. For that the price was 428 dollars.
The proceeds of 428 dollars were spent buying 100 scarves.
i.e. price of 100 scarves = 428 dollars
Hence price of 1 scarve = 428/100 = 4.28 $
Price of 1 scarve is 4.28 dollars is the answer
Draw a model to represent 3/4 divided by 3/12
The answer you are looking for is 1/3.
First, you must look at the denominators of each fraction, to see if you can simply divide straight across. In this case, you cannot, which means you must multiply by the reciprocal or "flipped" number. Generally when you multiply by the reciprocal, you flip the number with the smaller denominator to multiply.
So, you have 4/3 * 3/12. You then multiply straight across (4 * 3)/(3 * 12), to get an answer of 12/36, which simplified (divided by 3/3) gives you a final answer of 1/3.
I hope this helps!
The required model is attached in the image and the division of 3/4 by 3 /12 is 3.
Given that,
To draw the model to represent 3/4 divided by 3/12.
In mathematics, it deals with numbers of operations according to the statements.
Model hs been attached below for the given problem of division,
= 3 * 4 / 3 * 12
For a rectangle space, drawing 4 column and 12 raws,
Now for 3 / 4 3 of the 4 column to be filled by red, for 3 / 12 every 3 cells in the row have been filled by red.
Calculating number of cells in 3 / 4 = 36
calculating number of cells in 3 / 12 = 12
Now ratio of the cells = 36 / 12 = 3
Thus, the required model is attached in the image and the division of 3/4 by 3 /12 is 3.
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IS THIS RIGHT? HELP ME CORRECT PLEASE
Answer:
a) the no of coupons used at a super market cannot be normal as the no of coupons will not be symmetrical about the mean. In other words, the no of coupons will be increasing and hence curve cannot be bell shaped as in normal. So not normal
2) The weights of pumpkins that are delivered to a supermarket will be normal provided the number of pumpkins is large. This is because of central limit theorem that the average weight of pumpkin will follow a normal distribution when sample size becomes large.
3) This is a discrete distribution because no of raisins is countable and hence cannot follow a normal distribution. Normal distribution is meant for only continuous variables.
4) The amount of time customers spend waiting will follow an exponential distribution and cannot be normal
Step-by-step explanation:
The lengths of the sides of a triangle are consecutive odd integers. The perimeter of the triangle is 249cm. Find the lengths of the sides.
What are the coefficients in the expression 24x-3y+7z?
so, the coefficient will 24, -3, and 7. The letters next to the coefficients are called "variable".
Sandra saves 12% of her salary for retirement. This year her salary was $3000 more than in the previous year, and she saved $4200. What was her salary in the previous year?
The previous year's salary is x.
This year's salary is x + 3000.
12% of this year's salary is $4200.
12% * (x + 3000) = 4200
0.12(x + 3000) = 4200
x + 3000 = 35,000
x = 32,000
Answer: Her salary in the previous year was $32,000.
Wich number rounded to the nearest hundred thousend si 800,000 use the number to help you
the number that would have rounded to 800,000 would have been 10,000 so it would have been 70,000
What are the zeros of the function?
f(x) = x (x - 4)(x + 8)
Select each correct answer.
A) -8
B) -4
C) 0
D) 4
E) 8
The zeros of the function f(x) = x(x -4)((x + 8) is 0, 4 and -8. The correct options for the zeros of the function are: A, C, D
The zeros of a function are the values of the variables x for which f(x) is said to be equal to zero. From the given function, we will replace the value of x with zero and solve the function, the variable we get at the end of the solution are the zeros of the given function.
SO,
f(x) = x (x - 4)(x + 8)
Now, the zeros of the function can be computed as:
f(0) = 0 (0 - 4)(0 + 8)
f(0) = 0 ( -4) (8)
∴
f(0) = x or x - 4 or x + 8
f(0) = x or x = 4 or x = -8
Therefore, the correct options for the zeros of the function are: A, C, D
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Preston is making cookies. He has fraction 4/5 cup of flour in a bag. He then used two fraction 1/ 10 cup scoops of flour for his recipe. Which of these best explains the amount of flour left in the bag?
What are the answer choices?
the answer is 6/10.
HOPE IT HELPS.
-crhinds1
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
Answer:
As written in the question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
Rules are
Same number on both dice= +3
Different numbers, with an even sum= +1
An odd sum= -2
After five rounds score of Chloe=+1
→1=3+1+(-2)+(-2)+1
⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)
As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.
Answer:
this was also my homework :O
Step-by-step explanation:
A swimming pool in 65.25 feet long and 40.5 feet wide. How much longer is the pool than it is wide?
Okay so you subtract those two and you get 24.75.
You have to find how much more the length is compared to the width
You subtract the length by the width
65.25 - 40.5 = 24.75
The answer is 24.75 feet
BRAINLIEST?!
At imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11.
using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not?
You bought 555 apples and 444 oranges and your friend bought 555 apples and 555 oranges. He bought 555-444=111 oranges more than you bought.
You paid $10, he paid $11, then he paid $1 more than you paid.
This means that 111 oranges cost $1.
Thus, 444 oranges cost $4 and 555 apples cost $10-$4=$6.
1. If 111 oranges cost $1, then 1 orange cost [tex]\$\dfrac{1}{111} .[/tex]
2. If 555 apples cost $6, then 1 apple cost [tex]\$\dfrac{6}{555}=\dfrac{2}{185}.[/tex]
Answer:
Each apple costs $1.20 and each orange costs $1.
Step-by-step explanation:
Let x represent the number of apples and y represent the number of oranges.
For the fruit you bought, 5 apples and 4 oranges, we have 5x+4y. This costs $10. This gives us the equation
5x+4y = 10
For the fruit your friend bought, 5 apples and 5 oranges, we have 5x+5y. This costs $11. This gives us the equation
5x+5y = 11
Together we have the system
[tex]\left \{ {{5x+4y=10} \atop {5x+5y=11}} \right.[/tex]
We will eliminate x by subtracting the bottom equation from the top:
[tex]\left \{ {{5x+4y=10} \atop {-(5x+5y=11)}} \right. \\\\-1y = -1[/tex]
Divide both sides by -1:
-1y/-1 = -1/-1
y = 1
Each orange costs $1.
Substitute this into the first equation:
5x+4(1) = 10
5x+4 = 10
Subtract 4 from each side:
5x+4-4 = 10-4
5x = 6
Divide both sides by 5:
5x/5 = 6/5
x = 1.2
Each apple costs $1.20.
Factor each polynomial completely over the set of complex numbers.
1. a(x)=2x^4-3x^3-24x^2+13x+12
2. b(x)=x^4-2x^3-17x^2+4x+30
3. c(x)=2x^3-5x^2+12x-5
Answer:
1. a(x) = (x-4) (x-1) (2x+1) (x+3)
2. b(x) = (x^2-2) (x-5) (x+3)
3. c(x) = (2x-1) (x^2- 2x + 5)
In a sale, there is 50% off all prices. A chair costs ?17.50 in the sale. How much was it before the sale?
please help on this one?
A i think it could be wrong im only in middle school
This one should be C. Just look at the corresponding letters and plants. It’s easy once you get the numbers and items correctly equaling each other.
If the blue radius below is perpendicular to the chord AC, which is 6 units long, what is the length of the segment AB?
A. 1.5 units
B. 6 units
C. 3 units
D. 12 units
Answer:
3 units bruh
Step-by-step explanation:
The length of the segment AB is 3 unit.
What is Property of Circle?According to a property of circles, when a line passes through the center of a circle and is perpendicular to a chord, it divides the chord into two equal parts, essentially bisecting it.
We have,
Chord AC = 6 units
Now, we know that when the diameter is perpendicular to the chord bisect the chord and arc
Then, AB = CB
Thus, the length of the segment AB will be:
AC = AB + CB
6 = x + x
2x = 6
x= 3
AB = 3 unit
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What is the coefficient in the expression x/3+7 ? Enter your answer in the box.
The coefficient in the expression x/3 + 7 is 1/3, as the variable x is being divided by 3, indicating an implied multiplication of 1/3 times x.
Explanation:In the expression x/3 + 7, the term x/3 has a coefficient which is the number multiplying the variable x. In this case, the coefficient is 1/3 because x can be thought of as 1x and it is being divided by 3, so the coefficient for x is actually 1/3. The number 7 in the expression is a constant and not a coefficient because it does not multiply a variable.
To find a coefficient, you generally look for the number that is directly multiplied by the variable. In the given expression, since there is a division by 3, we treat 1/3 as the coefficient, which is an implied multiplication by x. Therefore, the coefficient of the variable x in the expression x/3 + 7 is 1/3.
Jane paid $40 for an item after she received a 20% discount. Jane's friend says that this means that the original price was $48. A) How do you think Jane's friend arrived at this amount? B) Is her friend correct? Why or why not?
Answer:
A) She must have used 20% from the $40 instead of the unknown price.
B) No, because: see below explanation.
Step-by-step explanation:
X is the original price.
If $40 is 80% of x, to find 1% of the price, divide $40 by 80.
You will get $0.50 for 1%.
To find the full amount, just multiply that by 100.
0.50*100= 50.
Total: $50.
Hope this helped!
Jane's friend calculated the original price by dividing $40 by 80 and multiplying by 100. However, they made a mistake in their calculations. The correct original price before the 20% discount should be $50.
Explanation:A) It seems that Jane's friend arrived at $48 by considering $40 as 80% of the original price. Since Jane received a 20% discount, it means she paid 80% of the original price. Thus, her friend might have calculated by dividing $40 by 80 and then multiplying by 100 to find the original price.
B) However, her friend's calculation is incorrect. If we indeed divide $40 by 80 and multiply by 100, we get $50, not $48. This means the original price of the item is $50.
To further illustrate this, let's consider the original price to be 'x'. If Jane received a 20% discount, she paid only 80% of 'x'. So, 0.8x = $40. Solving for 'x', we get x = $40 / 0.8 = $50.
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At what point on the curve x^2 + y^2 = 9 is the tangent line vertical?
x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.
This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).
When is the tangent line vertical? when it passes through the x-axis.
Answer: (-3, 0), (3, 0)
Duane bought 63 3/4 inches of chain for an art project. How many 15 inch chains can he make from it?
4inches of chain 63and 35 inches of chain decided by 15 equal 4 4 15 inches of chain
layla earned $42.00 babysitting in two days. She worked 2.25 hours yesterday and 3.25 hours today. If layla was paid the same amount every hour she works , how much did she earn per hour?
Please help me
10 points
In step 2, multiply what is inside the parentheses by 7 (distributive property):
7 * x = 7x
7 * 3 = 21
In step 3, subtract -7x on both sides of the equation. (Property of subtraction of equality)
Then -7x + 4x = -3x
7x-7x + 21 = 21
In step 4, both sides of the equation are divided by -3.
So (owned by the equality division)
-3x / -3 = x
-21 / -3 = 7
Remember that the division of equal signs results in a positive number.
4x = 7(x-3) Given equation
4x = 7x - 21 7 is distributed inside the parenthesis . So the property used here
is distributive property
-3x = -21 7x is subtracted from both sides. 4x-7x is -3x. So the property used
here is subtraction property of equality.
x = 7 -3 is divided on both sides. -21/3 is 7. So the property used
here is division property of equality.
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys chose fishing. The remaining boys did not complete the survey. What expression gives the percent of survey participants who chose fishing?
Answer: The percent of survey participants who chose fishing= 61.70%
Step-by-step explanation:
Total number of participants who completed survey= 18 + 29= 47
Now, the number of participants who chose fishing= 29
So,
The percent of survey participants who chose fishing= (the number of participants who chose fishing/the number of participants who completed survey)x100
The percent of survey participants who chose fishing= 29/47x100
The percent of survey participants who chose fishing= 61.70%
Answer:
Step-by-step explanation: 29/18+29 x 100
Sam is looking for a cell phone plans.A local company offers a monthly plan for $58.95. The company is having a sale and offering a discount for $4.75 off the monthly plan.Sam says the new cost is $11.45. Explain sams error and find the correct new cost
Answer:
Correct cost for the cell phone monthly plan = 54.2$
Explanation:
Price for monthly plan = 58.95$
Discount = 4.75 $
New cost found out by Sam = 11.45$
Discount considered by Sam = 58.95 - 11.45 = 47.5$
So, Instead of considering discount amount of 4.75$ Sam accidentally considered 47.5$, so he got 11.45$ as new cost for the cell phone plan.
Actual cost = 58.95 - 4.75 = 54.2$
Correct cost for the cell phone monthly plan = 54.2$
HELP 20 Points!!
Ella and Kate played basketball last year. Ella scored 16 points per game. Kate's total points for the season were 22 less than Ella's. The following expression shows Kate's total points:
16z − 22 In the expression, what does variable z represent?
Select one:
a. Ella's total points for the season.
b. Kate's total points for the season.
c. The number of games that Ella played. (the one I think)
d. Kate's points per game.
c. The number of games that Ella played. (the one I think)
The answer is c the number of games that Ella played, because it says she got 16 points per game.
Which of the following is a counterexample to the statement "All odd numbers are divisible by 3"?
7 is a prime number
9 is divisible by 3
8 is not divisible by 3
3 is divisible by itself
Answer:
That 9 is divisible by 3.
Step-by-step explanation:
For this case we have the following statement:
"All odd numbers are divisible by 3"
The options given are the following:
a) 7 is odd but not divisible by 3, therefore it is a counterexample of the given statement
b) 9 is odd and is divisible by 3, therefore it is not counter-example
c) 8 is an even number, it is not a counter-example
d) 3 is odd and affirms the given statement.
Therefore, the correct answer is option A.
Answer:
Option A
What is the value of c in the equation 2a+3b+5=c if a=3 and b=-3
We have 2 x 3 + 3 x (-3) + 5 = c;
Then, 6 - 9 + 5 = c;
- 4 + 5 = c;
1 = c;
Finally, c = 1.
Three times the sum of two times a number and five is fifty-one
Which answer shows 2.13786 x 10 to the power of 4 written in standard form?
2.13786 X 10 to the power of 4 equals 21378.6
Answer:
Which answer shows 2.13786 times 10 Superscript 4 written in standard form? Option C
(C) 21,378.6 <====== Hope this helps
Step-by-step explanation:
Scientific Notation:
2.13786*10^4
Expanded Form: 21378.6