Answer:
B
Step-by-step explanation:
For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.
The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$
Since a and b are roots of y² + 5y - 11, we have
y² + 5y - 11 = (y - a) (y - b)
and expanding the right side gives
y² + 5y - 11 = y² - (a + b) y + ab
so that
a + b = -5
ab = -11
Now,
(a + 3) (b + 3) = ab + 3 (a + b) + 9
(a + 3) (b + 3) = -11 + 3 (-5) + 9
(a + 3) (b + 3) = -17
What is the image of the point (0, 5) after the reflection over the line x = 5?
Answer:
(10, 5)
Step-by-step explanation:
(0, 5) reflected over x=5 becomes 10 units away from x = 0
Which equation represents this problem? The time it takes Tomás to bike to the community center is 2 minutes less than half the time it takes him to bike to the city park. It takes Tomás 18 minutes to bike to the community center. Let p = the time it takes Tomás to bike to the park.
A. 2p+12=18
B.12p+2=18
C.2p–12=18
D.12p–2=18
Answer:
The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18 ⇒ D
Step-by-step explanation:
Let us solve the question
∵ p is the time it takes Tomás to bike to the park
∵ The time it takes Tomás to bike to the community center is 2 minutes
less than half the time it takes him to bike to the city park
→ That means multiply p by [tex]\frac{1}{2}[/tex] , then subtract 2 from it
∴ The time to the community center = [tex]\frac{1}{2}[/tex] (p) - 2
∴ The time to the community center = [tex]\frac{1}{2}[/tex] p - 2
∵ It takes Tomás 18 minutes to bike to the community center
→ Equate The time to the community center by 18
∴ [tex]\frac{1}{2}[/tex] p - 2 = 18
∴ The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18
help plsplsplsplsplsplspls
Answer:
48-20x=21
Step-by-step explanation:
So, we basically have to clear the fractions (get rid of the denominators)
Multiply everything by the LCM of 6 and 8 (24)
24(2)-24(5/6x)=24(7/8)
48-20x=21
Hope this helps!
look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A when both are completely full? round your answer to the nearest tenth.
Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
Answer:
18.8 cubic inches
Step-by-step explanation:
the first person has it right
You are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 12 feet and the actual length of your room is 10 feet. Determine the width and length of your room on the blueprint.
Answer:
The width will be 1.5 feet and the length will be 1.25 feet.
Step-by-step explanation:
12/8=1.5
10/8=1.25
Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.
Answer:
[tex]\frac{-100(100+x)}{(x-100)}[/tex]
Step-by-step explanation:
Let the original price of the item = p
Let there was q% of increase on the original value, so
the printed price of the item, [tex]C= p+p \frac{q}{100}=p(1+\frac{q}{100})[/tex]
After a price reduction of x%, the has its price increased to its original value, so,
[tex]C-C\times \frac {x}{100} =[/tex] original price + increased price
[tex]p(1+\frac{q}{100})-p(1+\frac{q}{100})\times \frac {x}{100} = p+p[/tex]
[tex](1+\frac{q}{100})-(1+\frac{q}{100})\times \frac{x}{100} =2[/tex]
[tex]-(1+\frac{q}{100})\times \frac{x}{100} =2-1-\frac{q}{100}[/tex]
[tex]-(1+\frac{q}{100})\times \frac{x}{100} =1-\frac{q}{100}[/tex]
[tex](1+\frac{q}{100})\times \frac{x}{100} =\frac{q}{100}-1[/tex]
[tex]\frac{x}{100}+\frac{q}{100}\times\frac{x}{100}-\frac{q}{100}=-1[/tex]
[tex]x+x \times \frac{q}{100}-q=-100[/tex]
[tex]q(\frac{x}{100}-1)=-100-x[/tex]
[tex]q=\frac{-100(100+x)}{(x-100)}[/tex]
Hence, the percent of the increase is [tex]\frac{-100(100+x)}{(x-100)}[/tex]
Mary has 2 1/3 yards of fabric.
She wants to cut the fabric into 1/6 yard strips.
Answer:
so what should we do it is incomplete answer
Step-by-step explanation:
42
Answer:
14
Step-by-step explanation:if she cut the pices into 1/6 pices she would have 14 of them so the answer is 14.
A medium size apple weighs about 225
grams. How
many medium
apples would it take to make 1.5 kilograms?
Answer:
Concept: Unit Conversion and Application
1 apple = 225 gram 225 grams to kg = 0.225 Remember there are 1000 grams in a kg Hence we want to know how many apples make up 1.5 kg 1.5/0.225=6.66 apples But we must be conservative to not underproject Hence 7 applesAnswer:
A. 7Step-by-step explanation:
1 apple weights 225 g
1.5 kg converted to grams = 1500 g1500 / 225 = 6.66 ≈ 7 apples rounded upCorrect option is A. 7
Tylond puts $5,000 into a savings account that earns 4% simple interest. How much interest does he earn after
3 years?
Answer:
5,6241
Step-by-step explanation:
I have no idea if this is correct but I hope it is. I hope this helps.
Find the values of x and z
Answer:
z = 92 degrees
x = 6
Step-by-step explanation:
z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.
The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.
88 = 9x + 34
Solve for x.
x = 6
Answer:
z = 92°x = 6Step-by-step explanation:
For x:
Write and algebraic equation: 92 + (9x + 34) = 180Combine like terms: 126 + 9x = 180Subtract 126 from each side, so it now looks like this: 9x = 54Divide each side by 9 to cancel out the 9 next to x. It should now look like this: x = 6For z:
Because the 92° angle and z make a vertical angle, 92° = z°I hope this helps!
12−6x>24 I need help with this
Answer:
-132
Step-by-step explanation:
hope it helps you out
What is the value of the expression
3(w•8) + x
When w=1/4 and x=4
A 4
B 8
C 10
D 12
Answer:
The answer is ten or Letter C
Step-by-step explanation:
You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!
what is the circumference
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]
[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]
Hence, Circumference = 69.43 cm
Help! (tell me if you can’t see it)
Answer:
B. y=7x+3
Step-by-step explanation:
You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3
please help!! this is the question right here
For the points P and Q, find the distance d(P, Q).
P(3,-6), Q(7,-4)
Answer:
d=2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
please give thanks :)
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways. They laid the same number of bricks, but Ben finished first. On Tuesday, they are going to work together to build the brick border of a patio. If they work for the same amount of time on Tuesday, who will likely lay more bricks?
Ben will likely lay more bricks than Caleb. Because Ben has higher efficiency.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
As mentioned in the question,
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways.
Since They laid the same number of bricks, but Ben finished first.
Now, On Tuesday, they are going to work together to build the brick border of a patio. they work for the same amount of time on Tuesdays,
But Ben has higher working efficiency so Ben will lay more bricks than Caleb.
Thus, Ben will likely lay more bricks than Caleb.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ5
Ms. Parker baked 6 dozen cookies. She gave 2 dozen cookies to her sister,
1 dozen cookies to her brother, and kept the remaining cookies for herself.
What amount of the cookies did she keep for herself?
Answer:
She has 3 dozens left which equals to 36 cookies in all
Step-by-step explanation:
Use the figure to find the measure of <6. Explain your reasoning.
2 points
152
2
4
5
6
8
S
Your answer
Answer:
∠ 6 = 28°
Step-by-step explanation:
152° and ∠ 5 are corresponding angles and are congruent, then
∠ = 152°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, thus
∠ 6 = 180° - 152° = 28°
HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
its the second one
Step-by-step explanation:
Answer:
B. Subtract 28 from both sides
Step-by-step explanation:
2x + 28 = 40
-28 -28
2x = 12
2x/2 = 12/2
x = 6
Rachel earns $67.50 for working 9 hours at the dairy farm. How much does Rachel make per hour? How much would Rachel make if she works 5 hours a day for 6 days?
Answer:
$225
Step-by-step explanation:
Frist, we need to figure out how much Rachel makes per hour. For 9 hours of work, she makes $67.50
67.5 / 9 = 7.5
Rachel makes $7.50 per hour
Now we can add up all the hours she worked.
5 hours a day for 6 days
5 x 6 = 30
She worked 30 hours at a rate of $7.50 per hour
7.5 x 30 = 225
She earned $225
helppppppppppppppppppp pls
Step-by-step explanation:
0.2x = 20
The step that should be done is to multiply both sides by 5:
5(0.2x) = 5(20)
x = 100.
Jerry is paid twice a month. Last month, his first paycheck was for $52. He paid $18 for gasoline and $20 for food. His next paycheck was for $65. He paid $16 for gasoline and $25 for food. What is his balance?
Answer:
Jerry's current balance is $41.
Step-by-step explanation:
We need to subtract what he spent, and add what he gained.
So:
(Money spent)
$18 + $20 = $38
(Current balance)
$52 - $30 = $22
(Current balance)
$65 + $22 = $87
$25 + $16 = $41
Current balance: $41
What is the period of this periodic function?
A) π/4
B) 5π/2
C) 3π/4
D) 4π/3
A large amount of money is spent on promotional activities in the United States every year. The average budget breaks down as follows 50% for advertising 30% for sales promotion, and 20% for trade promotion. Use these percentages to calculate the amount a company will spend on each type of promotion if its overall budget is $400,000.
Answer:
Iam here to ruin your day sry nothing personal.
What is the discriminant of the quadratic equation
x^2– 7x-9=0
PLEASE HELPPPPP!!!!
write an equation of line line in slope intercept form (0,3) and (1,2)
[tex]y = - x - 3[/tex]
✧◝(⁰▿⁰)◜✧
If g (x ) = 3(4)x, what is the value of g (2)?
Crayons come in packs of 25 and markers come in packs of 10. Marcus wants to have the same amount of markers and crayons. What is the fewest amount of packages of each he needs to buy to have the same amount of each?
Answer
2 packs of crayons
Step-by-step explanation:
5 packs of markers