Answer:
Each friend will get 2/15ths of the popcorn.
These shapes below are mathematically
Answer:
x=30
Step-by-step explanation:
they are conqruent,
the proportion is 2.5 as we can find that by 20/8
2.5 times 12 is 30
If you deposit $850 into an account which earns 6% yearly interest compounded monthly, how much will be in the account after 4 years, assuming you never withdraw money from the account? Round your answer to the nearest cent if necessary and do not include the dollar sign.
Answer:
1079.9
Step-by-step explanation:
A = P(1 + [tex]\frac{r}{n}[/tex])^nt
A: ending amount
P: principal (850)
r: interest rate in decimal form (.06)
n: compounding periods, 12 months in a year.
t: time in years (4)
= 850(1 + .06/12)^12(4)
= 850(1.005)⁴⁸
= 850(1.2704891)
= 1079.9157
Answer:
1079.92
Step-by-step explanation:
You start at (1, -4). You move left 4 units and down 1 unit. Where do you end
The translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).
What is translation?Translation in mathematics is the movement of a shape in any direction—left, right, up, or down—without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.
Given that you start at (1, -4). You move left 4 units and down 1 unit. The translated point will be calculated as,
(1, -4) ⇒ ( 1 - 1 , -4 - 4)
( 1 , 4 ) ⇒ ( 0 , -8)
Therefore, the translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).
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Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here
A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
a una vez a respuesta
Step-by-step explanation:
cuando decimal a compra el gallos para cual es suma cuanto vez =150.49875
19. Estimate a 20% tip on a meal that cost $118.75.
Answer:
$23
Step-by-step explanation:
move the decimal over left 1 time and double the amount
Answer:
$23.75
Step-by-step explanation:
As 20% equals to [tex]\frac{20}{100}[/tex], which is the same as 0.20, then all you have to do to get to the answer is to calculate:
0.2 * 118.75 = $23.75
Tom invests $10,000 in a savings account that offers 3.5 percent interest, compounded continuously.
In 10 years Tom will have earned
The coefficients in the expansion of (x + y)4
are
O A. 1, 4, 6, 4, 1
OB. 0, 1, 4, 6, 4, 1, 0
C. 0, 4, 6, 4,0
D. 1, 4, 6, 6, 4, 1
Answer:
A
Step-by-step explanation:
Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a3b, a2b2, ab3, b4.
The degree of each term is 4.
The first term is actually a4b0, which is a4 · 1.
Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:
(a + b)5 = ? a5 + ? a4b + ? a3b2 + ? a2b3 + ? ab4 + ? b5
The question is, What are the coefficients?
They are called the binomial coefficients. In the expansion of
(a + b)4, the binomial coefficients are
1 4 6 4 1
The coefficients in the expansion are 1, 4, 6, 4, 1.
What is Binomial Expansion?The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. [tex]^nC_0[/tex]= [tex]^nC_n[/tex], [tex]^nC_1[/tex]= [tex]^nC_{n-1}[/tex], [tex]^nC_2[/tex]= [tex]^nC_{n-2}[/tex] ,….. etc.
The expansion of [tex](x+ y)^4[/tex]
= [tex]x^4[/tex] + 4x³y + 6x²y² + 4xy³ + [tex]y^4[/tex]
So, the highest degree is 4.
and, The literal factors are all the combinations are [tex]x^4[/tex], 4x³y, 6x²y², 4xy³,[tex]y^4[/tex]
Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.
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An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You buy an album for $10. Identify an inequality that represents how much more money $m$ you must spend to receive the three free songs.
Answer:
10 + m ≥ 30
You must spend AT MOST $20 or more
Step-by-step explanation:
Basically you have already spent 10 dollars and you have to pay MORE than or equal to 30. You cannot pay less than because you want the free songs. So the sign has to be ≥ or the inequality will not be true.
10 + m ≥ 30
10 - 10 + m ≥ 30 - 10 ( subtract 10 from each side to isolate m)
m ≥ 20 ( we are left with this )
The answer is :
m ≥ 20
You must spend at most 20 dollars more to get the 3 free cd's. Your welcome :D
Which equation is equivalent to the equation 7y + 6 = 34?
Answer:
y = 4
Step-by-step explanation:
You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
Isolate the variable, y. First, subtract 6 from both sides of the equation:
7y + 6 (-6) = 34 (-6)
7y = 34 - 6
7y = 28
Next, divide 7 from both sides:
(7y)/7 = (28)/7
y = 28/7 = 4
y= 4 is one of the equivalent equations that can answer this question.
~
Helpp me plzzzzzZZzz
7.18 x 10^3 is more than, the same as, less than 3610
Answer:
Greater than because the answer would be 7,180
Step-by-step explanation:
Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?
Answer: 20.25
Step-by-step explanation: Rebecca can expect to be making her regular 13.50 an hour, however once time and a half hits she’s looking at taking her 13.50 and dividing it by 2. So 13.50 divided by two is 6.75. You then take that 6.75 and add it on top of her regular 13.50 hourly. Putting you at 20.25 for time and a half.
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How to find the probability of the complement of an event?
What is the value of x?
Answer: c
Step-by-step explanation:
Answer:
C. 75°
Step-by-step explanation:
Step 1:
70° + 35° + x = 180° Sum of a Δ
Step 2:
105° + x = 180° Combine Like Terms
Step 3:
x = 180° - 105° Subtract
Answer:
x = 75°
Hope This Helps :)
What equation do you get when you solve p = 2l + 2w for w
Answer: When you solve for w the equation is [tex]w= \frac{p-2l}{2}[/tex]
Step-by-step explanation:
p = 2L + 2w subtract 2L from both sides
p -2L = 2L -2L + 2w 2L-2L = 0 om the right; they cancel
p - 2L = 2w now get w alone
(p - 2L)/2 = 2w/2 divide both sides by 2 2w/2 = w 2/2=1 it "cancels"
[tex]\frac{p +2L}{2} = w[/tex] rewrite Reverse sides to put w alone on the left side
[tex]w= \frac{p-2l}{2}[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x - 15y = 135
6x -15y = 135
-15y = 135 -6x
y = (135-6x)/-15
y = 2/5x + 9
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
There are calories in 233.5 grams of this cereal.
(Round to the nearest whole number as needed.)
Answer:
145
Step-by-step explanation:
110÷177.4=.62 cal per gram
.62×233.5=145 rounded
A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.
Answer:
a)C(x)=1500+35x
b)R(x)=60 x
c)P(x)=25x-1500
d)The number of lessons that must be held for the studio to break even ia 60
e)The studio will make 550 if 82 lessons are held
Step-by-step explanation:
Monthly cost that include rent, utilities, insurance, and advertising = $1500
The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.
a)Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for a given month
Fixed monthly cost = $1500
Variable cost of trainer for each lesson = $35
Variable cost of trainer for x lessons = 35x
So, C(x)=1500+35x
b)Write a linear revenue function representing the cost to the revenue R(x) to hold x private lessons for a given month
Charge for 1 lesson = 60
Charge for x lessons = 60 x
So, R(x)=60 x
c)Write a linear profit function representing the cost to the profit P(x) to hold x private lessons for a given month
Profit = Revenue - Cost
P(x)=R(x)-C(x)
P(x)=60x-1500-35x
P(x)=25x-1500
d)Determine the number of lessons that must be held for the studio to break even
R(x)=C(x)
60x=1500+35x
25x=1500
x=60
So, the number of lessons that must be held for the studio to break even ia 60
e) If 82 lessons are held during a month how much money will the studio make or lose
P(x)=25x-1500
P(82)=25(82)-1500
P(82)=550
So, The studio will make 550 if 82 lessons are held
1)Profit function P(p)=25p-1500
2) For the break-even number of lessons to be held is 60 lessons.
3)Profit, when 82 sessions are held is $550.
The fixed monthly cost of the dance studio= $1500
The variable cost of the trainer for each lesson = $35
So, Variable cost of trainer for 'p' lessons = 35a
So, Total cost =1500+35p
Charge for 1 private lesson = 60
Charge for 'p' lessons = 60p
So, Revenue =60p
We know that, Profit = Revenue - Cost
So, Profit =60p-(1500+35p)
Profit=25p-1500
What is the break-even point?The break-even point is the point at which total cost and total revenue are equal.
For break-even
Cost = Revenue
1500+35p = 60p
p =60
So, for the break-even number of lessons to be held = 60 lessons
Profit when 82 sessions are held
Profit = 25p-1500
Profit = 25*82-1500
Profit = $550
Therefore, 1)Profit function P(p)=25p-1500
2) For the break-even number of lessons to be held is 60 lessons.
3)Profit, when 82 sessions are held is $550.
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Question 3 (5 points)
Which radical expression is an irrational number?
O A) 36
B) 65
O C) 121
OD) 64
inte
Answer:
121
we can factor it
121 = 11×11
121=(11)2
121=11
so options c is correct
Please help!! i cant fail math
Answer:
The scale factor is 2
Step-by-step explanation:
Anthony has saved $15 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week w, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough money to buy the bicycle.
Answer:
(140-15)÷15=W
Step-by-step explanation:
140-15=125
125 still needed. divide that by the amount that will be saved each week which is 15 a week and you get 8.3. If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase. So thats why the answer would be 9
Brainliest please!!!
here is the question.
Answer:
the answer of the question is 7
Please Help thank you very much!!
Answer: A
Step-by-step explanation:
Sams is greater than Wendy’s
Answer:
A
Step-by-step explanation:
Sam's balance: $161
Wendy's balance: $152
Of these two numbers, which is the greater one? 161. So, option A would be correct.
Grade Math
Do Not Reproc
26. What is the solution to the equation 3(4x – 11) + 15 = -6(-x + 7)?
А
X=-30
B
x= -10
C X=-4
D
x= -1
ILL LITERALLY GIVE U 100 POINTS
I NEED THIS TURNED IN BY 3 EST.
Salim added 1 g of salt to each of four
beakers filled with water. He stirred the
water at different speeds and recorded how
long it took for the salt to dissolve.
Time (sec)
25
Stirring
No stirring
Slow stirring
Medium stirring
18
10
Fast stirring
6
Based on evidence in the table, what claim
should Salim make?
(F
G
Salt will not dissolve in water unless
the water is stirred.
Stirring water increases the rate at
which a salt dissolves.
Stirring water decreases the rate at
which a salt dissolves.
Stirring has no effect on the rate at
which a salt dissolves.
H Н
Answer:
Stirring water increases the rate at
which a salt dissolves.
Step-by-step explanation:
The stirring allows fresh solvent molecules to continually be in contact with the solute.
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to find X, the number of teaspoons of baking soda needed for 9 cups of sugar?
Answer:
Heres how to solve.
Step-by-step explanation:
3 cups of sugar for every 2 teaspoons of baking soda.
So 6 cups of sugar for 4 teaspoons of baking soda.
And 9 cups of sugar for 6 teaspoons of baking soda.
Basically you just multiply by 3, 3×3=9 and 2*3=6
The number of teaspoons of baking soda Trisha needed will be 6.
It is given that Trisha uses 3 cups of sugar for every 2 teaspoon of baking soda.
We have to find out that what will be the number of teaspoons of baking soda needed for 9 cups of sugar.
If a car goes 10 km in two hours , how far will it go in one hour ?
The car will go, 10 ÷ 2 = 5 km in an hour.
As Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda.
For 1 cup of sugar Trisha will have to use 2/3 teaspoons of baking soda .
For 9 cup of sugar Trisha will use ;
= (2/3) × 9 = 18 ÷ 3
= 6
So, Trisha will have to use 6 teaspoons of baking soda for 9 cups of sugar.
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Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)
Answer:
y=2x+1
Step-by-step explanation:
change -2x to 2x
Which rule was used to translate the image?
nd
e
O (x, y) = (x + 6, y-5)
O (x, y) = (x - 6, y + 5)
O (x, y) = (x + 8, y - 11)
O(x, y) - (x -8, y + 11)
Answer:
The answer is C
Step-by-step explanation:
(x, y) → (x + 8, y – 11)
Answer: The Answer is C (x, y) → (x + 8, y – 11)
Step-by-step explanation:
Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
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