Answer:
158 correct
Step-by-step explanation:
79 out of 100 = 158 out of 200
On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.
If you deposit $6000 into an account paying 8% annual interest compounded monthly, how much money will be in the account after 7 years?
Answer:
$10278
Step-by-step explanation:
Given data
P= $6000
R= 8%
T= 7 years
The compound interest formula is
A=P(1+r)^t
substitute
A=6000(1+0.08)^7
A=6000(1.08)^7
A=6000*1.713
A=$10278
Cora bought 80 feet of cable for $18.40. She needs 20 more feet. If the unit price is the same, how
much will she pay for the extra 20 feet of cable?
She will pay an extra $
Answer:
Step-by-step explanation:
20ft($18.40/80ft)=$4.60
Answer:
$4.6
Step-by-step explanation:
Use 18.40 and 80. if $18.40 is 80 feet, divide 18.40 by 4 to get 4.60. Now you know that you got 4.60, see if you can add 4.6 four times to get to 18.4. (You can.) So, 20 feet is $4.60 or $4.6.
Please help due in 3 min
Which number below is a perfect square? 100 90 50 75
Simplify:
4y - 1/2 (-3/4+2/3y)
Answer:
11/3y-3/8
Step-by-step explanation:
Distribute -1/2 through the parentheses
4y-3/8-1/3
calculate the difference
Answer- 11/3y-3/8
You have $120. You spend 75% of your money. How much did u spend?
Answer:
$90
Step-by-step explanation:
$120 x .75 = $90
Which situation would not be represented by the integer -9?
a hole 9 feet deep
9 dollars withdrawn from the bank
a football pass of 9 yards
a temperature of 9° below zero
mickel and 4 friend bought a total of 95 raffle tickets if the ticket were dived equaly among themselves how many tickets did each person get?
Answer:
19
Step-by-step explanation:
5 people in total, divide equally from 95
Answer:
Step-by-step explanation:
95/4=23.75
Round 23.75 --> 24.00 raffle tickets each.
Y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3. X equals negative 2.X + 3 x = –2
Answer: The solution is the pair (-2, 5/3)
Step-by-step explanation:
The system of equations is:
y = (2/3)*x + 3
x = -2
When we have a system of equations, we usually start by isolating one of the variables in one of the equations and then replacing it in the other ones (in that way, we can "remove" variables, until we have only one and we can solve the problem)
In this case, we have already isolated the variable x in the second equation, then we can just replace it in the first one, to get:
y = (2/3)*(-2) + 3
y = -4/3 + 3 = -4/3 + 9/3 = (-4 + 9)/3 = 5/3
y = 5/3
Then the solution of this system is
x = -2
y = 5/3
Which also can be represented with the ordered pair (-2, 5/3)
help please!! ill give brainliest :)
Given the following equations, at which point will the graphs intersect?
f(x) = 5x + 1
g(x) = -2x + 15
(0,0) (1,15) (-2,-9) (2,11)
Answer:
(2,11)
Step-by-step explanation:
f(x) = 5*2 + 1 = 11
g(x) = -2 *2 + 15 = 11
A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?
(Explanations are appreciated along with your answer.)
600ft³ will be the required volume
Volume of pyramidThe formula for calculating the volume of the rectangular prism is expressed as:
V = 1/3lwhGiven the following information
l = 10 feet
w = 15feet
h = 12 feet
Get the volume
V = 1/3(10 * 15 *12)
V = 1/3(1800ft³)
V = 600ft³
Hence 600ft³ will be the required volume
Learn more on volume of prism here: https://brainly.com/question/23963432
PLEASE HELP ASAP!!
Please could I have the answers or step by step I don’t mind just PLEASEE help asap!!
Emerson struck out 122 times in 350 at bats. What is his percentage of strike outs?
Answer:
Around 35%
Step-by-step explanation:
122/350 = 0.35
Answer:
32%
Step-by-step explanation:
We are told out of 350 times, he stuck out 122 times. As a fraction, we can say he struck out 122/350 times.
As a fraction, we can easily convert this to a decimal by dividing the numerator (top number) by the denominator (bottom number).
So, 122/350 = 0.32.
Now, we can easily convert this to a percentage by multiplying by 100.
0.32 x 100 = 32%
Solve using the substitution method. 3x +2y= 19 xy= 15
Answer:
when x = 3 1/3, y = 4.5
or
when x =3 , y = 5
Step-by-step explanation:
Here, we want to solve using substitution
xy = 15
let x = 15/y
Put this into the first equation;
3(15/y) + 2y = 19
45/y + 2y = 19
Multiply through by y
45 + 2y^2 = 19y
2y^2 -19y + 45 = 0
2y^2 - 10y - 9y + 45 = 0
2y(y-5) -9(y-5) = 0
(2y-9)(y-5) = 0
2y-9 = 0
or y-5 = 0
2y = 9 or y = 5
y = 9/2 or y = 5
y = 4.5 or y = 5
Recall;
x = 15/y
x = 15/4.5 or x = 15/5
x = 3 1/3 or x = 3
explain what happens when a transversal has intersected a set of parallel lines.
Answer:
Different angles are formed
Step-by-step explanation:
i) Alternate angles are formed
Alternate interior angles are the angles formed when a transversal intersects two parallel lines.
ii)corresponding angles are formed
When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.
Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!
Answer:
B 3.5
Step-by-step explanation:
Hope it Helps!
GUYSS PLEASEEEE NO ONE IS HELPING MEEE I NEED THSISSSSSSS 30PTSS
Step-by-step explanation:
how do you write over the thing so I can give you the answer or can I just tell you the answer in text messages
Answer:
uh what
Step-by-step explanation:
Please answer!!
6.7.32
For what value of x is the given parallelogram a
rhombus?
(6x +13)
(9x-5)
The given parallelogram is a rhombus when x=
Answer:
x = 6
Step-by-step explanation:
(9x - 5)° = (6x +13)°
9x - 5 = 6x + 13
9x - 6x = 13 + 5
3x = 18
x = 18/3
x = 6
The given parallelogram is a rhombus when x = 6
The value of 'x' for which the parallelogram will be a rhombus is x = 3.
What is a rhombus?A quadrilateral with all equal sides is a rhombus.
Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.
A rhombus has 360° of interior angles total.
A rhombus's adjacent angles add up to 180°.
A rhombus's diagonals are perpendicular to one another and cut each other in half.
One more property of rhombus is that the diagonals bisect the originating angles.
Therefore, The values of 'x' for which this parallelogram will be a rhombus is, 6x + 13 = 9x - 5.
6x - 9x = - 5 - 13.
- 3x = - 18.
3x = 18.
x = 6.
learn more about rhombuses here :
https://brainly.com/question/16547718
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Dane needs to cut 4 strips of border for his rectangular project board. The project board has a length of 12 1/2 inches and a width of 6 1/4 inches. How much border will Dane have left if the border comes in a 60-inch roll?
please answer so I dont fail this semester
your going fail?! ill help itis 6
Step-by-step explanation:
PLEASE HELP! GIVING POINTS :)!
Answer:
56 square feet
Step-by-step explanation:
If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.
You end up with one rectangle that is
8x4
and a second thats
4x6.
The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)
Thus
32 + 24 = 56 square feet
Answer:
32 + 24 = 56 square feet
The baseball team is running a fundraiser to raise money for new equipment. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The team needs to raise at least $500 to buy a few pieces of equipment. The students can accept a maximum of 360 cans and bottles.
a)Write a system of inequalities that can be used to represent this situation.
b) The baseball team sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to buy new equipment? Justify your answer.
The correct answer is B. your welcome.
Evaluate each expression for the given value(s) of the variable(s). 5(9 + d) − 6 when d = 3
HELP I NEED HELP ASAP
Answer:
I think it's A
Step-by-step explanation:
the line is going up and the more it goes up it looks like it will be 2.5
What is the range of the data set below?
25, 24, 24, 24, 33
Answer:
9
Step-by-step explanation:
the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.
So u just subtract 24 from 33:
33 – 24 = 9
and that's your range! hope this helps!
Please do number 13 for me
What equation models the data in the table if d = number of days and c = cost?
Which list represents the independent values on this graph?
the answers are on the left
9514 1404 393
Answer:
(d) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Step-by-step explanation:
The independent variable is plotted on the horizontal axis. The first coordinate of each ordered pair is the independent value. Those values are ...
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Answer:
i think a
Step-by-step explanation: