Answer:
Sam used estimation. He rounded the amount of guests (192) to the nearest hundred (200).
Which products result in a difference of squares? select three options. (x minus y)(y minus x) (6 minus y)(6 minus y) (3 x z)(negative 3 x z) (y squared minus x y)(y squared x y) (64 y squared x squared)(negative x squared 64 y squared)
The three (3) products that resulted in a difference of squares are:
(3 + xz)(-3 + xz) (y² - xy)(y² + xy)(64y² + x²)(-x² + 64y²)How to determine the difference of squares?In Mathematics, the standard form for a difference of two (2) squares is given by a² - b² = (a + b)(a - b).
(3 + xz)(-3 + xz) = (3 + xz)(xz -3)
(3 + xz)(xz -3) = 3xz - 9 + x²z² - 3xz.
(3 + xz)(xz -3) = x²z² - 9
Therefore, x²z² - 9 ≡ a² - b²
(y² - xy)(y² + xy) = y⁴ + xy³ - xy³ - x²y²
(y² - xy)(y² + xy) = y⁴ - x²y²
Therefore, y⁴ - x²y² ≡ a² - b².
(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²)
(64y² + x²)(-x² + 64y²) = 4096y⁴- 64y²x² + 64y²x² - x⁴
(64y² + x²)(-x² + 64y²) = 4096y⁴ - x⁴
Therefore, 4096y⁴ - x⁴ ≡ a² - b².
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Answer:
Step-by-step explanation:
Which letter will correspond to the location of the following points when plotted on the number line below?
Answer:
A, E, B, D, C
Step-by-step explanation:
1) 6 is A
2) √83 = 9.11, so it is E
3) √40 = 6.3, so it is B
4) √64 = 8, so it is D
5) 7.5 is C
Help me plssss!
[tex]-124x+102=-126x-90[/tex]
Answer:
x=-96
Step-by-step explanation:
isolate x by moving -124x to the other side by adding -124x to -126x = -2x
then it will look like: 102= -2x-90
add 90 to both sides: 192= -2x
divide both sides by -2 to isolate x
x= -96
please help me...asap
Answer:
Your answer is D. 5 children, 12 teens, and 3 adults.
Step-by-step explanation:
45 children, 108 teens, and 27 adults.
x - children , y-teens, z-adults
45x + 108y + 27z
GCF for 45, 108, 27 is 9 so factory out 9 to all.
[tex]\frac{45}{9} ,\frac{108}{9} ,\frac{27}{9} \\5,12,3[/tex]
5 children, 12 teens, and 3 adults.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{It seems like all of your numbers are apart of the 9 factors. So, we will }\\\large\text{DIVIDE each of your numbers by 9 until we find out the total}\\\large\text{population (also known as your result to this equation)}[/tex]
“[tex]\large\text{45 children, 108 teens, \& 27 adults}[/tex]”
[tex]\large\textbf{Equation \# 1.}\\\\\large\boxed{\rm{\dfrac{45\ children}{9\ children}}}\\\\\\\large\boxed{= \rm{45 \ children \div 9 \ children}}\\\\\\\large\boxed{\rm{= 5\ children\ in\ total}}[/tex]
[tex]\large\textbf{Equation \# 2.}\\\\\large\boxed{\rm{\dfrac{108\ teens}{9\ teens}}}\\\\\\\large\boxed{= \rm{108\ teens \div 9 \ teens}}\\\\\\\large\boxed{= \rm{12 \ teens \ in \ total}}[/tex]
[tex]\large\textbf{Equation \# 3.}\\\\\\\large\boxed{\rm{\dfrac{27\ adults}{9\ adults}}}\\\\\\\large\boxed{\rm{= 27\ adults \div 9 \ adults}}\\\\\\\large\boxed{\rm{= 3\ adults\ in\ total}}[/tex]
[tex]\huge\textbf{Therefore, your answer is:}\\\\\huge\boxed{\textsf{Option D. 5 children, 12 teens, 3 adults}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What is a difference of squares that has a factor of x 8? x2−4 x2−16 x2−64 x2−256
Answer:
(c) x² -64
Step-by-step explanation:
The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...
a² -b² = (a +b)(a -b)
__
You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...
a² -b² = x² -8² = x² -64
Answer:
x^2-64
Step-by-step explanation:
just did the test
will give brainliest if your answer IS CORRECT
Answer:
Reflection over the y-axis.
Step-by-step explanation:
All the x values will change sign so its over the yaxis
Answer:
a. The graph will be reflected over the y-axis
Step-by-step explanation:
When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.
hope this helps :)
At a soccer game the snack bar sells hot dogs for 4 dollars and slices of pizza for 6 dollars. The snack bar sold 70 hot dogs and slices of pizza all together for $342 dollars.
Part A: Enter the total number of hot dogs sold.
Part B: Enter the total number of slices of pizza sold.
Answer:
Part A: Enter the total number of hot dogs sold. 70 of sold hot dogsPart B: Enter the total number of slices of pizza sold. 50 slices of pizzaStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧I NEED THIS ASAP!!
Solve for X and find the angle relationship!!
(WILL GIVE BRAINIEST)
THIS IS RLY IMPORTANT
Answer:
Vertical anglesx = 1484°Step-by-step explanation:
The indicated angles are vertical angles since formed by two intersecting lines.
We know the vertical angles are congruent. Use this property to find the value of x and the angle measure
6x = 3x + 426x - 3x = 423x = 42x = 42/3x = 14The angle measure
6*14 = 84Opposite angles are equal
6x=3x+426x-3x=423x=42x=42/3x=14Answer number 6 pleaseeeee
Answer:
20 peopleStep-by-step explanation:
25% = 1/4 of 100
100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200
If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.
50... ok......
50 = 25%
Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people
So, if 25-15=10
and then 5% = 10 people
5%+5%=10
10+10=20
That means, that 20 people more liked the movie than disliked it.
The total cost for one year at the state university is $22,500. a student has the following help in covering the costs of school. an academic scholarship for $10,000. other scholarships and grants for $4,400. parents pay $1,800. what is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
Answer:
$630 Per Month
Step-by-step explanation:
$22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months
=$630
Find the equation of the lines a and b
Step-by-step explanation:
A ) 3x-2
B ) -4x+5
I HOPE IT HELPED YOU
Which is an x-value of a solution to the system
Answer:
Option B I.e -1/2
Step-by-step explanation:
Option B I.e -1/2
help me plsss i need to do it fast 12 min left help me pls
Answer:
$44
Step-by-step explanation:
She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44
Answer:
you're correct it's 44 you do 79 - 35 and you get 44
Which of the following rational functions is graphed below?
5
10
A. F(X) =
OB. F(x)=
O C. F(x) =
D. F(X) =
(x + 1)
(x + 2)(x-2)
(x+1)
(x-1)(x+2)
2x
x(x - 2)
(x-1)
x(x-2)
ڈے
Answer:
B. F(x) = (x+1)/(x-1)(x+2)
Step-by-step explanation:
See attached graph. Note how the two vertical lines at x = -2 and 1 match plot B
The following graph is of the rational function [tex]F(x) = \frac{x+1}{(x-1)(x+2)} \\[/tex]
What are asymptotes?
An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.
The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.
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(D) How do you write 6
20
as a percentage?
Answer:
62%
Step-by-step explanation:
10 000 ÷ 100 = 100
620 ÷ 100
= 62%
What is an equation of the line that passes through the points (4, -2) and (2, 3)?
Step-by-step explanation:
For this problem, you'll need two formulas:
Slope: y1 - y2/x1 - x2
Point Slope: y - y1 = m(x - x1)
First thing you need to use is the slope formula.
Plugging in your coordinates gives you:
[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]
You can simplify this by getting rid of the negatives since two negatives make a positive.
Now to use the point slope formula.
For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).
I'll be using the point (2,3). Now plug everything in:
[tex]y-3=\frac{5}{2} (x-2)[/tex]
First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:
[tex]y-3=\frac{5}{2} x-5[/tex]
Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:
[tex]y=\frac{5}{2} x-2[/tex]
Hope this was helpful, good luck :)
Gary has 24 sweets. He eats 3/8 of them.
Ben has 30 sweets. He eats 2/5 of them. Who has the most sweets left?
no of sweet gave to peny is 24×3/8 = 9 sweets
rest was ate by him
so the sweet ate by him is 24-9 = 15 sweet
hope this helps you kindly mark me as brainliest and follow me
Based on the amount of sweets eaten by Gary and Ben, the person with more sweets left is Ben.
Who has more sweets left between Ben and Garry?The sweets left by Gary are:
= 24 - (24 x 3/8)
= 24 - 9
= 15 sweets
The sweet left by Ben are:
= 30 - (2/5 x 30)
= 30 - 12
= 18 sweets
In conclusion, Ben has more sweets left.
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Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. if erica made $42.80 on monday, $64.20 on tuesday and $74.90 on wednesday, how many subscriptions did she sell in the three days? a. 32 b. 33 c. 34 d. 35 please select the best answer from the choices provided a b c d
Answer:
c. 34
Step-by-step explanation:
1) Add all the given prices on each day.
= 42.80 + 64.20 + 74.90
= 181.90
2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.
Let x = number of magazine subscriptions sold
5.35x = 181.90
x = [tex]\frac{181.90}{5.35}[/tex]
x = 34
You are considering buying the house next to your home in order to fix it up and
sell it to make a profit. Ypu estimate that you will need to invest about $8,000 to
make necessary repairs and upgrades. After these improvements, you should
be able to sell it for $215,000. If the general guideline for flipping is to buy at
least 20% below the market value, what is the most you should be willing to pay
for the home?
Answer:
s
Step-by-step explanation:
What is the equation of the line that passes through the point (8,-6) and has a
slope of o?
The slope or gradient has this formula when two points are given: m = y1 −y x1 −x In this case we have the points (-6,-8) and (-7,y) and m=-8.
Lisa is buying a cover for her patio table. If the table is 5 feet on all sides, what is the area of the cover?
Answer:
25 units squared
Step-by-step explanation:
Area is length times width. The table is in the shape of a square, so 5*5 = 25 units squared.
If one mile is aprox 1.6 kilometers the how many miles is the race
Simplify the following.
I need to see a step by step answer on both questions to see how it actually works.
Answer:
See below ~
Step-by-step explanation:
27. (B)
3a/5b + 4a/15bTake the LCM to be 15b3a(3) + 4a / 15b13a/15b27. (C)
(3²)³ × 3⁰ ÷ 3⁴3⁶ x 1 ÷ 3⁴3²3 x 39Answer:
1,
[tex] \frac{13a}{15b} [/tex]
2,
[tex]9[/tex]
Step-by-step explanation:
[tex] \frac{3a}{5b} + \frac{4a}{15b} [/tex]
[tex] \frac{45a}{75b} + \frac{20a}{75b} [/tex]
[tex] \frac{13a}{15b} [/tex]
2,
[tex] {3}^{6} \times {3}^{0} \div {3}^{4} [/tex]
[tex]729 \times 1 \div 81[/tex]
[tex]729 \div 81 = 9[/tex]
8. In July 2008, the united states had a population of approximately 302,00,000 people. How many Americans were there in July
At the park there
is a merry-go-round with a radius of 6 feet.
What is the circumference?
Answer:
Step-by-step explanation:
r=6ft; c=2pi(6)=12pi ft
put into calculator, you get 37.7 ft
Is 2x 4/3 equal to 4x 2/3
[tex]2x \times \frac{4}{3} = 4x \times \frac{2}{3}[/tex]
[tex] \frac{8x}{3} = \frac{8x}{3} [/tex]
Both are equivalents
Solve 2(9-x) = 3 ( x +16 )
Answer: x=-6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(9−x)=3(x+16)
Step 1: Simplify both sides of the equation by distribution
[tex]2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\[/tex]
Step 2: Subtract 3x from both sides.
[tex]-2x+18-3x=3x+48-3x\\-5x+18=48[/tex]
Step 3: Subtract 18 from both sides.
[tex]-5x+18-18=48-18\\-5x=30[/tex]
Step 4: Divide both sides by -5.
[tex]\frac{-5x}{-5} =\frac{30}{-5} \\x=-6[/tex]
Which expression is equivalent to cube root of 216 x superscript 27 ? 6x3 6x9 72x3 72x9
The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).
How to find the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
To find the equivalent expression, simplify the given equation with the help of mathematical operations.
The expression given in the problem is,
[tex]\sqrt[3]{216\times {27}}[/tex]
Let the expression which is equivalent to the above expression is n. Thus,
[tex]n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3[/tex]
Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).
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Answer:
A
Step-by-step explanation:
5. In the given sequence 32, 28, 24, 20, What rule is applied?
a. 10[tex]n[/tex]
b. 4[tex]n[/tex]
c. [tex]n[/tex]- 4
d. ([tex]n[/tex]+ 5) / 8
Answer:
C
Step-by-step explanation:
A number is n, therefore you can start off with 32 and subtract 4 getting you 28. Subtract 4 and you get 24, and again 20.
Which represents a perfect cube? 6 times 6 times 6 6 6 6 3 times 3 times 3 times 3 3 3 3 3 3
The expression that represents a perfect cube is expressed as: 6 × 6 × 6
What is a Perfect Cube?A perfect cube, x, is such that x × x × x = x³ = ∛x.
Thus, we have:
6 × 6 × 6 = 216
Cube root of 216 = ∛216
∛216 = 6
We can then conclude that the expression that represents a perfect cube is: 6 × 6 × 6
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Answer:
6x6x6
Step-by-step explanation: