MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.
Answer:
A = 80 S =70
Step-by-step explanation:
#Adults tickets = A
#Students tickets = S
A + S = 150
5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether
3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether
5A + 3S = 610 (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)
Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.
A + S = 150
5A + 3S = 610
Substitution:
A = 150 - S (Rearrange the first equation by moving S to the other side)
Substitute into the other equation
5 (150 - S) + 3S = 610
750 - 5S + 3S = 610 Combine like terms : -2S = -140
Solve for S = 70
Substitute into A + S = 150 A + (70) = 150
A = 80
Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3
Answer:
-3
Step-by-step explanation:
[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]
Answer:
-3
Step-by-step explanation:
i forgot how to do the log thingy but the guy on top is also correct
If 9x - 11= 12, what is the value of 6x ?
Answer:
15.333...
Step-by-step explanation:
9x-11=12
9x-11(+11)=12(+11)
9x=23
23/9x= 2.555...
2.555(6) = 15.333...
Josh is 6 years older than 4 times Kim's age. the sum of their ages is less than 31.
what is the oldest Kim could be?
Answer:
4
Step-by-step explanation:
31 - 6 = 25
25/4 = 5
because its LESS than that, it has to be lower than 5, therefore its 4.
Kim should be 12 years old.
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Josh is 6 years older than 4 times Kim's age and the sum of their ages is less than 31.
From the information, let's consider Josh's age be J and that age Kim's be K
As given,
J = 6 + K ..............(i)
And,
J+K < 31
Substituting in eq(i)
6+K+K < 31
2K < 25
K < 25/2
K < 12.5
Since, Kim's age should be less than 12.5
Hence, Kim's age is 12 years.
For more references on inequality, click;
https://brainly.com/question/28823603
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work out what -48=6(x-3) is
Answer:
brainliest plssssss
Step-by-step explanation:
if any body does Lincoln Douglas debate, please let me know because I could use some help with how wording on part of my case.
Answer:
Step-by-step explanation:
the Lincoln-Douglas debates propelled Lincoln's political career into the national spotlight, while simultaneously stifling Douglas' career, and foreshadowing the 1860 Election. By 1858, Stephen A. Douglas was the most prominent politician in the West. Lincoln-Douglas debates, series of seven debates between the Democratic senator Stephen A. Douglas and Republican challenger Abraham Lincoln during the 1858 Illinois senatorial campaign, largely concerning the issue of slavery extension into the territories. The result of the debates was inconclusive. Senators were then chosen by state legislatures, and in the 1858 legislative election, Illinois Republican candidates slightly outpolled their Democratic rivals. Southerners believed that Abraham Lincoln was an abolitionist and also felt betrayed by Stephen Douglas's suggestion that territories could refuse to grant slavery legal protection. In 1860, Lincoln won the Republican Party's presidential nomination.In that election, he faced Douglas (again), who represented the Northern faction of a heavily divided Democratic Party, as well as Southern Democrat John C. Breckinridge and Constitutional Union candidate John Bell.
Convert 5 hours to minutes.
Answer:
300 min
Step-by-step explanation:
60 times 5 :)
Amy glued purple ribbon around the edge of her circular mirror. She used
63 inches of ribbon. This was just enough to go once around the mirror. What
is the approximate diameter of her mirror?
Answer: The answer is 20in
Answer:
20 inch
Step-by-step explanation:
x-2y = 12
15x + 3y = -44
Elemination
Answer:
x - 2y = 12--------------eq(1)15x + 3y =-44--------------eq(2)multiply the 1st equation by 15 therefore we get a new equation..and we mark it as 3rd eq15x - 30y = 180-------eq(3)15x + 3y =-44--------------eq(2)now you can see (x) term in both the equations are the same...sothere is a law in elimination methodif the terms are equal we subtract the rest without the equaled termif the terms are different we add the rest without the different term so here term are equal so we subtracteq(3)-eq(2)-30y -3y = 180 -(-44)-33y = 224y = -224/33then let's get the answer for (x) term by substitute the answer we got for y to any of the above equation without our new equation (3)x - 2y = 12--------------eq(1)x - 2 (-224/33) = 12x = -52/33answers x = -52/33y = -224/33Gym A charges a $70 sign-up fee and an additional $20 per month. Gym B only charges a $10 sign-up fee, but charges
a $40 monthly membership fee.
Answer:
What ismthe question lol
1. Temperature: Which number from the following list of temperatures (in
degrees fahrenheit) is the coldest?
17
15
27
Montel uses 8 oz of sugar to make 36 fluid ounces of lemonade if it makes 180 fluid ounces of lemonade to bring to a party how many ounces of sugar will he use
Answer:
40 oz of sugar
Step-by-step explanation:
1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need
180/36= 3
This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.
8ounces of sugar x 5 = 40ounces of sugar to make 180fluid ounces of lemonade
A man spent 58% of his income and the amount of money left was $210.00.Find his income.
Answer:
500 dollars is his total income
Step-by-step explanation:
Evaluate the expression when x-6
5x + 3
———-
3
Please explain too! I will give Brainiest
The school's copier can
make 30 copies in 12a
minute. How many
copies can it make in 18
minutes?
Answer: 45 copies in 18 minutes
Step-by-step explanation:
i figured it out ;)
The following is the set of scores Ivy earned on her science tests. What is the mean of her test scores? 86, 94, 88, 82, 95
A. 86
B. 71
C. 85
D. 89 <------
Answer:
d
Step-by-step explanation:
add them all up then divide by 5
Tess studied for 2/3 of an hour on Monday and 1 1/2 hours on Tuesday. How much more time did she spend studying on Tuesday than on Monday?
Answer:
she spent 2 1\6 studying more on tuesday because you got to add
y - 7/8 = 3/4
what is y
;-;
Answer:
y = 13/8
Step-by-step explanation:
Here are the steps I did:
1. y - 7/8 = 3/4 x 2/2
2. y - 7/8 + 7/8 = 6/8 + 7/8
3. y = 13/8
Answer:
Y in (-oo:+oo) Y- (7/8) = 3/4 // - 3/4. Y- (7/8)- (3/4) = 0. Y-7/8-3/4 = 0. Y-13/8 = 0 // + 13/8. Y = 13/8. Y = 13/8.
Step-by-step explanation:
Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
12
Answer:
32%
Step-by-step explanation:
Area of rectangle ABCD = 20 * 30 = 600 Sq cm
After increasing the length and width of the rectangle by 20% and 10% respectively.
New length = 30 + 20% of 30 = 30 + 6 = 36 cm
New width = 20 + 10% of 20 = 20 + 2 = 22 cm
Area of new rectangle = 36*22 = 792 Sq cm
Increase in area = 792 - 600 = 192 Sq cm
Percentage increase in area
= (192/600) *100
= 32%
Answer:
nnnnnnnfjnjzfv
Step-by-step explanation:
7(n - m) for m = 4 and n = 15
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
plzzzzzzzzzzzzzzzzzzzz
Answer:
[tex]8x^{2} - 15y^{2} + xy[/tex]
Step-by-step explanation: If you need an explanation let me know, I'd rather not waste time if you're just going to plug the answer in.
What are the coordinates of point K after the translation (x, y) ---> (x + 2, y + 5)
7th grade work help please
will give brainliest:)
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?
Answer:
im not completely sure but I'd say 30
Step-by-step explanation:
well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure
Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace said it would be $118.30 but Curtis said the original price should be $130, which person do you agree with? Why?
Answer:
The original cost is $130
Step-by-step explanation:
Step one:
given data
We are told that Rey paid $91 for a watch that was on sale for 30%
let the original cost be x
so that 30% off x= $91 --------not the word OFF not OF
Required
the original cost x
Step two
hence
x- 30/100*x= 91
x-0.3x=91
0.7x= 91
divide both sides by 0.7
x= 91/0.7
x=$130
Find the average of -1/8,3/4,3/4,-1/2
Answer:
7/32Step-by-step explanation:
Sum is:
-1/8 + 3/4 + 3/4 - 1/2 =-1/8 + 6/4 - 1/2 =-1/8 + 12/8 - 4/8 =(-1 + 12 - 4)/8 = 7/8Number is 4
Average is:
sum/number =7/8 : 4 =7/32a. I - 2y = 4
find the x and y intercepts
Answer:I=4+2y
Step-by-step explanation:
1. Add 2y to both sides
I-2y+2y=4+2y
2.Simplify
I=4+2y
−3x−9y=−12
−3x+7y=4
solve for x
Answer:
[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]
Step - by - step explanation :
[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]
USING ELIMINATION METHOD :
[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )
[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )
Subtracting equation ( ii ) from ( i )
Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.
[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]
[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]
_____________________
➺ [tex] \sf{ - 16y = - 16}[/tex]
➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]
➺ [tex] \sf{y = 1}[/tex]
The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :
➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]
➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]
➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]
➺ [tex] \sf{ - 3x = - 3}[/tex]
➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]
➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]
Hence , the value of x is 1 .
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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]
There are many methods to solve such simultaneous equations. They are :
Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ Learn more :
Solve system of equations using elimination method :
https://brainly.com/question/20160304
What is the substitution method ?
https://brainly.com/question/15936865
Hope I helped ! ツ
Have a wonderful day / night ♡
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help please!!! will give brainliest!!
Answer:
try one or three
Step-by-step explanation:
5/6 or 5/9
Answer:
Step-by-step explanation:
It’s A
The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?
Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]
[tex]\text{Combined number of cellists and violinists}=10x[/tex] ...(i)
Number of violinists in the school orchestra = 21
[tex]7x=21[/tex]
Divide both sides by 7.
[tex]x=3[/tex]
Now, the combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=10(3)[/tex] [Using (i)]
[tex]\text{Combined number of cellists and violinists}=30[/tex]
Therefore, the combined number of cellists and violinists is 30.