Answer:
Adult Ticket cost $9.50 and Children Ticket cost $7.00
Step-by-step explanation:
Let single adult tickets cost "a" and single children ticket cost "c"
6 adult and 2 children ticket is $71, we can write:
6a + 2c = 71
Also,
3 adult and 4 children tickets cost $56.50, so we can write:
3a + 4c = 56.5
We multiply 2nd equation by "-2", to get:
-2 * (3a + 4c = 56.5) = -6a -8c = -113
Now we add this equation with 1st and eliminate a and solve for c:
6a + 2c = 71
-6a -8c = -113
-------------------
-6c = -42
c = -42/-6
c = 7
To find a, we can plug this into 1st equation and then get our answer.
6a + 2c = 71
6a + 2(7) = 71
6a + 14 = 71
6a = 57
a = 57/6
a = 9.5
Hence,
Adult Ticket cost $9.50 and Children Ticket cost $7.00
what does -3y + 6 + y equal
Answer:
-2y+6 or -2(y-3)
Step-by-step explanation:
-3y+6+y=-2y+6
since it is a. repeating decimal 14.1 is irrational. True or false statement
Answer:
The statement is false
Step-by-step explanation:
For a number to be rational it must be able to be written as a fraction.
At the movie theatre child admission is $6.30 and adult is $9.90 on Monday, 138 tickets were sold for a total sales of $1053.00. How many tickets were sold that day
Answer: 87 children and 51 adult
Step-by-step explanation:
Let x be child admission and let y be adult admission.
We know that x+y=138 based on the fact that 138 tickets were sold.
We also know that 6.3x+9.9y=1053 based on the information.
Let y=138-x
Then, 6.3x+9.9(138-x)=1053
6.3x+1366.2-9.9x=1053
-3.6x+1366.2=1053
-3.6x=-313.2
x=87
138-87=y=51
87 children's and 51 adult tickets were sold.
Solve 7 equals pi r squared
Step-by-step explanation:
[tex]7 = \pi {r}^{2} [/tex]
Were you given an input for r?
If not then:
7/pi = about 2.23
[tex] \sqrt{2.23} = about \: 1.5[/tex]
r = about 1.5
Is 4(x+1) =2x+4 a solution
Answer:
x=0
Step-by-step explanation:
4(x+1)=2x+4
4x+4=2x+4
4x-2x+4=4
2x+4=4
2x=4-4
2x=0
x=0/2
x=0
Answer:
yes it's a solution
Step-by-step explanation:
the guy before me explained it well
Your family loves turkey uncle Billy 1/4 of the turkey cousin Chris ate 15% of the turkey cousin Timmy ate 0.3 of the turkey and Little Dave ate 12% of the turkey who ate the most turkey?
Answer:
Timmy
Step-by-step explanation:
He ate 30% of it
Timmy-30%
Chris- 15%
Little Dave-12%
Answer:
timmy
Step-by-step explanation:
he ate the most because he is fat
Are these all of the answers?
That Looks about right.
Will the point (2, 6) be on the graph of y = 3x?
A. No, because an equation does not have points.
B. Yes, because x = 6 and y = 2 is a solution to the equation.
C. Yes, because x = 2 and y = 6 is a solution to the equation.
D. No, because x = 6 and y = 2 does not make the equation true.
Answer:
Yes, because x = 2 and y = 6 is a solution to the equation.
The point (2, 6) does lie on the graph of the equation y = 3x because when you substitute x = 2 and y = 6 into the equation, it holds true (6=3*2). Hence, yes, because x = 2 and y = 6 is a solution to the equation.
Explanation:To determine if the point (2, 6) is on the graph of y = 3x, you would need to substitute the values of x and y into the equation and see if it holds true. In this case, if we substitute x = 2 and y = 6, we get 6 = 3*2, which simplifies to 6 = 6. This shows that the equation is true, therefore, the point (2, 6) lies on the graph of y = 3x. So the correct answer is C: Yes, because x = 2 and y = 6 is a solution to the equation.
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5
CHALLENGE Mr. Kelly bought 8 dozen hot dogs for the third grade picnic. His pet
dog broke into the groceries and ate 14 hot dogs. If each picnic guest eats one hot
dog, how many people can still have a hot dog? Show your work.
The number of people who can still have a hot dog is 82 people
Given:
Total hot dogs bought = 8 dozens
1 dozen = 12Total hot dogs bought = 8 × 12
= 96
Number of hot dogs his pet ate = 14
Each guests eats one hot dogNumber of guests who are hotdog = Total hot dogs bought - Number of hot dogs his pet ate
= 96 - 14
= 82
Therefore, the number of people who can still have a hot dog is 82 people
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simplify that equation
Answer:
[tex](g-7)^{6}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(g-7)^{9} }{(g-7)^{3} }[/tex]
= [tex](g-7)^{(9-3)}[/tex]
= [tex](g-7)^{6}[/tex]
Answer:
(g - 7)⁶
Step-by-step explanation:
Rule:
[tex]\frac{x^{a} }{x^{b} } =x^{a - b}[/tex]
So,
(g - 7)⁹ ⁻ ³ = (g - 7)⁶
How many pounds of peanuts that sell for $1.5 per pound should be mixed with cashews that sell for $4.5 per pound so that a 10-pound mixture is obtained that will sell for $3.00 per pound?
5 pounds of peanuts should be mixed with cashews
Step-by-step explanation:
The given is:
The price of one pound of peanut is $1.5
The price of one pound of cashew is $4.5
10-pound mixture is obtained that will sell for $3.00 per pound
We need to find how many pounds of peanuts should be mixed with cashews
Assume that x represents the number of pound of peanuts, and y represents the number of pounds of the cashews
∵ x pounds of peanuts should be mixed with y pounds of cashews
∵ The mixture obtained is 10 pounds
∴ x + y = 10 ⇒ (1)
∵ The price of each pound of peanut = $1.5
∵ The price of each pound of cashew = $4.5
∴ The selling price of the mixture = 1.5x + 4.5y
∵ The selling price of one pound of mixture = $3
∵ The mixture is 10 pounds
∴ The selling price of the mixture = 3 × 10 = 30
- Equate the two expressions of the selling price of the mixture
∴ 1.5x + 4.5y = 30 ⇒ (2)
Now we have system of equations to solve it
Multiply equation (1) by -4.5 to eliminate y
∵ -4.5x - 4.5y = -45 ⇒ (3)
- Add equations (2) and (3)
∴ -3x = -15
- Divide both sides by -3
∴ x = 5
∵ x represents the number of pounds of peanuts
∴ The number of pound of peanuts is 5
5 pounds of peanuts should be mixed with cashews
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Which of the following point-slope form equations could be produced with the points (2, -6) and (4, -3)?
y - 6 = 3/2(x + 2)
y - 6 = 3/2(x - 2)
y + 6 = 3/2(x - 2)
y + 6 = -3/2(x + 2)
Answer:
C) y+6=3/2(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
m=slope & (x1, y1) is a point on the line
m=(y2-y1)/(x2-x1)
m=(-3-(-6))/(4-2)
m=(-3+6)/2
m=3/2
y-(-6)=3/2(x-2)
y+6=3/2(x-2)
Option 3
The point slope form of the given points (2, -6) and (4, -3) is [tex]y+6=\frac{3}{2}(x-2)[/tex]
Solution:Given that two points are (2, -6) and (4, -3)
We have to find the point slope form
The point-slope of the line is given as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where m is the slope of the given line.
So now to write the given points in point intercept form we need to find the slope, m
The slope of line is given as:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text { Here } x_{1}=2 ; y_{1}=-6 ; x_{2}=4 ; y_{2}=-3[/tex]
Plugging in the values, we get
[tex]m=\frac{-3-(-6)}{4-2}=\frac{3}{2}[/tex]
So, the slope of the given line is [tex]\frac{3}{2}[/tex]
Now, we need to find the point slope form. For that purpose we can use either of the points, but since in the answer options they have used the 1st point we will do so too.
Therefore, the point slope form is:
[tex]\begin{array}{l}{y-(-6)=\frac{3}{2}(x-2)} \\\\ {y+6=\frac{3}{2}(x-2)}\end{array}[/tex]
From the given options we can see that the correct answer is option 3.
what is the solution of the system of equations of y=3x and y=2x+2
Answer:
the solution is, x=2
Step-by-step explanation:
we have
y= 3x
y=2x+2
so we can write,
3x=2x+2
3x-2x=2
x=2
find the slope of a line that passes through (6,8) and (1,18)
Answer:
m(the slope) = -2
Step-by-step explanation:
First, you want to use the slope formula. This can be written as (Y[subscript2]-Y[subscript1])/(X[subscript2]-X[subscript1]). This may seem a bit confusing but I hope it will make sense to you. The subscripts basically mean which Y value or X value you are taking. In this case, you could rewrite the equation as this: (18-8)/(1-6). The 18 is the Y value of the second point, so it is Y[subscript2]. Now all you need to do is simplify the equation.
(18-8)/(1-6)
10/-5
(-1)10/5
(-1)2
-2
evaluate 0.3y + y/x when y = 10 and z =5
Answer:
5
Step-by-step explanation:
0.3*10=3
10/5=2
--------------------
3+2=5
What is the correct sequence of steps for calculating 946 on the scientific calculator?
A.
First press 9, then 6, then the exponent key, and finally press the equal sign ().
B.
First press 6, then 9, then the exponent key, and finally press the equal sign (=).
C.
First press 9, then the exponent key, then 6, and finally press the equal sign (=).
Reset
Reset
Next
Answer:
9^6=531441
Step-by-step explanation:
To calculate ,on the Scientific calculator
-First press 9 marked on the set of numbers.
--Then go to the indices expression and press on it.
--After that press 6.
--You will get the value of 9^6=531441
There is a multiplication and division fact family with the numbers 2,4 and 8. Write the four fact family members
Answer:
8-4=2
2 x 4=8
4 x 2=8
8-2=4
Step-by-step explanation:
A fact family includes related multiplication and division facts. For the numbers 2, 4, and 8, the facts are 2 x 4 = 8, 4 x 2 = 8, 8 ÷ 4 = 2, and 8 ÷ 2 = 4. This demonstrates the relationship between multiplication and division.
Fact Family for Multiplication and Division
A fact family in mathematics is a group of related math facts involving the same numbers. For the numbers 2, 4, and 8, the fact family includes both multiplication and division facts. Here are the four members of this fact family:
2 x 4 = 8
4 x 2 = 8
8 ÷ 4 = 2
8 ÷ 2 = 4
Notice how multiplication and division are related: each multiplication fact has a corresponding division fact.
1. Robbie opens an account at a local bank and deposits $100 every week into the account.
The account pays 2.4% interest, compounded weekly. How much is in the account after
three years?
Answer:
$240
Step-by-step explanation:
The amount in the account after 3 years will be 16171.45701
What is a deposit?
It is a financial term that means money held at bank. It is a sum of money which you pay when you start renting something. The deposit is a money which we put in our bank account. It is made for funds and we can withdraw that money anytime. If you take a loan the money can be deposited is in the form of collateral amount. Demand and time are two types of deposits made by businesses or individuals. The amount of money that is paid to an account is known as deposit. The sum of money that is given in advance as a part of a total payment is termed as deposit. It is a transaction involving the transfer of money to a bank account. It is an another way for safekeeping.
Given p=periodic payment=$100/week
r= interest rate=2.4%, compounded weekly
t=3 years
n=52 weeks
b= future value= P([tex](1+r/n)^{nt}[/tex]-1)/(r/n)
=100([tex](1+2.4/5200)^{156}[/tex]-1)/(2.4/100×52)
=16171.45701
After 3 years the amount in the account will be 16171.45701.
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Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 + 10 + 2) What should Bart do to find the product? Select all that apply. Multiply 6(400) and multiply 10(2). Multiply 6(400), 6(10), and 6(2). Multiply 6(400) and then add (10 + 2). Multiply each addend by 6. Find the sum of (2400 + 60 + 12).
Bart should;
Multiply 6(400), 6(10), and 6(2) ⇒ 2nd
Multiply each addend by 6 ⇒ 4th
Find the sum of (2400 + 60 + 12) ⇒ 5th
Step-by-step explanation:
Let us revise the distributive property
a(b + c) = ab + aca(b + c + d) = ab + ac + adBart used place value and the distributive property to rewrite the
expression 6(412)
His work is shown 6(412) = 6(400 + 10 + 2)
We need to know what Bart should do to find the product
∵ 6(412) = 6(400 + 10 + 2)
- Multiply each number in the bracket by 6 in the right hand side
∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)
∴ 6(400 + 10 + 2) = 2400 + 60 + 12
∴ He should to multiply each addend by 6 and then find the sum of
(2400 + 60 + 12)
Bart should;
Multiply 6(400), 6(10), and 6(2)
Multiply each addend by 6
Find the sum of (2400 + 60 + 12)
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Answer:
The one up is right but just to make it easier it is B, D, E
Step-by-step explanation:
Got it right on edge 2021
Hope it helps :)
If two _____ line are cut by a ______, then the two pairs of alternate interior angles are congruent
A used-boat dealership buys a boat for $2900 and then sells it for $4500. What is the percent increase?(Round to the nearest whole number as needed.)
Answer:
55%
Step-by-step explanation:
We have to divide the new price by the original price
4500/2900 = ca. 1.5517
Take away 100% from this answer and we get 0.5517 over the original price
This is the same as 55.17% can be rounded to 55%
To find the percent increase in the boat's price, subtract the original price from the selling price, divide by the original price, then multiply by 100 and round to the nearest whole number. The calculation shows about a 55% increase from the original price of $2900 to the selling price of $4500.
Explanation:To calculate the percent increase, you would subtract the original price of the boat from the selling price and then divide by the original price to get the fraction of the increase. Finally, you multiply this fraction by 100 to convert it to a percentage. Using the given numbers: The original price is $2900, and the selling price is $4500.
Subtract the original price from the selling price: $4500 - $2900 = $1600Divide the increase by the original price: $1600 / $2900 ≈ 0.5517241379Multiply by 100 to convert to a percentage: 0.5517241379 × 100 ≈ 55.17%When you round this to the nearest whole number, you get a percent increase of 55%.
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find the domain and range
y= 3x - 3
GIVING BRAINLIEST
9) The function f(n) = 5n represents the number of candles needed for n tables. How many candles are
needed for 15 tables?
F(n) = 5n
You are being told n is the number of tables, and there are 15 tables:
f(15) = 5(15)
F(n) = 75
You need 75 candles.
3,614 rounded to the thousands
Answer:
4000
Step-by-step explanation:
Answer: 4,000.
Hope this helps!
how do you solve this? need help asap!! find y!!
Answer:
x = 21 degrees
y = 66 degrees
Step-by-step explanation:
Supplementary angles sum 180 degrees and complementary angles sum 90 degrees.
The first two upper angles are supplementary since they complete half a turn of a circle.
The relation is
(3x+5)+(6x-14)=180.
Joining like terms
9x-9=180
Dividing by 9
x - 1= 20 =>
x = 21 degrees
The first and the last angle are the same because they are formed by two parallel lines to a common side, so
3x-5=y-8 or
y=3x+3 = 63+3 =>
y = 66 degrees
Which of these is not part of an algebraic equation?
A
an inequality sign
B
an expression
C
an equal sign
D
a variable
Answer:
A
Step-by-step explanation:
It's A because in order to have an equation, you need a equal sign and a variable and an expression is a base of algebra and i see your in middle school and have you ever seen a inequality sign in a algebraic expression?
An inequality sign is not part of an algebraic equation
Option A
Explanation :
Any algebraic equation will have an equal sign
For example , Algebraic equation is
[tex]y=3x+2[/tex]
This algebraic equation have = sign
The above algebraic equation have expression 3x+2
Also the above algebraic equation have variable 'x' and 'y'
So , an algebraic equation have = sign , variables and expression
If we have inequality sign then we call it as inequality not an equation
An inequality sign is not part of an algebraic equation
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What is the distance between the points (-4, -4) and (-1,0)?
A. 5
B. 1
C. 7
D. -9
Answer:
A. 5Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (-4, -4) and (-1, 0).
Substitute:
[tex]d=\sqrt{(-1-(-4))^2+(0-(-4))^2}=\sqrt{(-1+4)^2+(0+4)^2}\\\\=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
How many packs of DVD’s can you buy with 198 dollars if one pack cost 18 dollars
Answer:
you can get 11 DVDs if they cost 18 dollars
Answer:
Step-by-step explanation:
198/18=11. You can buy 11 packs
An eagle is flying 30 feet above sea level and spots a fish swimming 2 feet below sea level. What does zero
represent in this situation?
A.the height of the eagle
B. The ocean floor
C.Sea level
D. The depth of the swimming fish
Answer:
C. Sea level
zero represent in this situation is Sea level.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
An eagle is flying 30 feet above sea level = +30 feet
and, spots a fish swimming 2 feet below sea level. = -2 feet
So, using integers the zero represent the Sea Surface,
Hence, zero represent in this situation is Sea level.
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24. The function f(t) = -16t^2 +20t +4 gives the height of a ball, in feet, t seconds after it is tossed.
What is the average rate of change, in feet per second, over the interval [0.75, 1.25]
Answer:
-12 feet per second
Step-by-step explanation:
average rate of change over [0.75, 1.25] = [tex]\frac{f(1.25) - f(0.75)}{1.25 - 0.75}[/tex]
f(1.25) - f(0.75) = 4 - 10 = -6
1.25 - 0.75 = 0.5
[tex]\frac{f(1.25) - f(0.75)}{1.25 - 0.75}[/tex] = [tex]\frac{-6}{0.5}[/tex] = -12
The average rate of change of the function f(t) over the interval [0.75, 1.25] is -12 feet per second.
We have,
To find the average rate of change of the function f(t) over the interval [0.75, 1.25], you can use the following formula:
Average Rate of Change = [f(1.25) - f(0.75)] / (1.25 - 0.75)
Calculate f(1.25):
f(1.25) = -16(1.25)^2 + 20(1.25) + 4
Calculate f(0.75):
f(0.75) = -16(0.75)^2 + 20(0.75) + 4
Plug these values into the formula:
Average Rate of Change = [f(1.25) - f(0.75)] / (1.25 - 0.75)
Calculate the numerator:
Average Rate of Change = [(-16(1.25)^2 + 20(1.25) + 4) - (-16(0.75)^2 + 20(0.75) + 4)] / (1.25 - 0.75)
Simplify the numerator:
Average Rate of Change = [-25 + 25 + 4 - (-9 + 15 + 4)] / (1.25 - 0.75)
Further, simplify:
Average Rate of Change = (4 - (-9 + 15 + 4)) / (1.25 - 0.75)
Continue simplifying:
Average Rate of Change = (4 - 10) / (1.25 - 0.75)
Calculate the final result:
Average Rate of Change = (-6) / (0.5)
Average Rate of Change = -12 feet per second
Thus,
The average rate of change of the function f(t) over the interval [0.75, 1.25] is -12 feet per second.
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