I need help with this ASAP and can you explain so i can understand?!
Answer: 225 adult tickets, 375 student tickets
Step-by-step explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
What is the first step in solving this equation?
10d - 4 = 91
Answer:
Step-by-step explanation:
the first step in solving this equation is adding 4 on both sides
10d = 95
d = 95/10 = 9.5
A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?
A. V=2s2
B. V=2s3
C. V= 2/3s2
D. V=2/9s3
E. V=1/3s3
Answer:
the answer is d aka V=2/9s3
Step-by-step explanation:
Answer:
the answer is d aka V=2/9s3
Step-by-step explanation:
i just took the test and got it right
3 musical words describing silent night
i am trying to solve question two with the graphing method but can’t figure out how because there is only y=2.
Answer: look in the explanantion :)
Step-by-step explanation:
So basically when something is y=2, that means that its just a horizontal line at the number 2
so it would just be a straight horizontal line that is located at the y point of 2
What is ✓ 48 in simplified form?
0 24
O 43
02/12
O V 48 can't be simplified.
Answer:
3rd option
Step-by-step explanation:
square 4 times 12
square root of 4 is 2
so itt would be 2/12
Which expression is equivalent to 3(m+ 2) − 4(2m− 9) HELP ASAP
Which graph shows a line with a slope of 0?
Answer: c
Step-by-step explanation: if there is no y then its just x=-2
Answer:
c
Step-by-step explanation:
m=y/x and in this case the graph doesn't cross y so ot is valued 0
Norah brought home 2 pounds of grapes and ate 5⁄6 of the grapes that evening. How many pounds of grapes did Norah eat
Answer:
1 2/3 pounds or
Step-by-step explanation:
(x-6)(3x+7)
Expand and simplify
Answer: 3x^2 − 11x − 42
Step-by-step explanation:
Simplify (x − 6) (3x + 7)
Expand (x − 6) (3x + 7) using the FOIL Method.
Apply the distributive property.
x (3x + 7) − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Simplify and combine like terms.
Rewrite using the commutative property of multiplication.
3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x by adding the exponents.
Move x.
3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x.
3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Move 7 to the left of x.
3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7
Multiply 3 by −6.
3x^2 + 7x − 18x − 6 ⋅ 7
Multiply −6 by 7.
3x^2 + 7x − 18x − 42
Subtract 18x from 7x.
3x^2 − 11x − 42
A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?
Answer:
66and2/3 gallons of 26% and 33and1/3 of 14%
Step-by-step explanation:
x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100
13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3
A car dealer offers a discount of 15% off the normal price of a car for cash.
Emma pays £6120 cash for a car.
Calculate the normal price of the car.
Answer:
7200
Step-by-step explanation:
100/(100-15) * 6120 = 7200
Given that
x : 20 = 5 : x
Calculate the positive value of x.
what's the highest number - 6 and - 10 and -4 and 7 and 6 and -2
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
in order it would be -10, -6, -4, -2, 6, 7
Hav a great day :P
I need some help with this, please. Two tons of sand are put into 100-pound bags. Each bag sells for $15.00. How much is all the sand worth?
Total sand
2ton2(2205lbs)4410lbsTotal bags
4410/10044bags(Approx)Total worth
44(15)440+220$660.00what's the gcf of 3x and 12x
Answer: GCF- is 3x
Step-by-step explanation:
So first you will ignore the X.
You will then find the GCF of 3 and 12.
The calculated value of the gcf of 3x and 12x is 3x
Calculating the gcf of 3x and 12xFrom the question, we have the following parameters that can be used in our computation:
Expressions = 3x and 12x
Expand both expressions
So, we have
3x = 3 * x
12x = 2 * 2 * 3 * x
Multiply the common factors
GCF = 3 * x
Evaluate
GCF = 3x
Hence, the gcf of 3x and 12x is 3x
Read more about GCF at
https://brainly.com/question/17067741
#SPJ4
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
What is the slope of the line?
2x - 5y = 9
Choose 1 answers
5
2
O
9514 1404 393
Answer:
D. 2/5
Step-by-step explanation:
The slope is the x-coefficient when the equation is solved for y.
2x -5y = 9 . . . . . . . given
-5y = -2x +9 . . . . . .subtract 2x
y = (-2/-5)x +9/(-5) . . . . divide by -5
y = 2/5x -9/5
The coefficient of x is 2/5. That is the slope of the line.
The slope is 2/5.
-2 (m+3) - 5m = -34
Help please
Answer:
m = 4
Step-by-step explanation:
Given
- 2(m + 3) - 5m = - 34 ← distribute and simplify left side
- 2m - 6 - 5m = - 34
- 7m - 6 = - 34 ( add 6 to both sides )
- 7m = - 28 ( divide both sides by - 7 )
m = 4
Which equation demonstrates the distributive property?
es =)
A)
36 + 9 = 45
B)
36 + 9 = 3(12 + 3)
C)
36 x 9 = 9 x 36
(12 + 3)3 = 3(12 + 3)
Answer:
c
hope this helps
1 - 2k + 5k <_ -4 + 3k
Answer:
No solution.
Step-by-step explanation:
1-2k+5k<-4+3k Combine like terms on each side wherever you can.
1+3k<-4+3k Subtract -3k on both sides (it's less confusing when you get
-3k -3k rid of the variable first).
1<-4 1 is not less than or equal to -4, so there is no solution.
I hope this helped you out!! Have a great day (*^3^)╭
Joe buys a compact disc that costs $29.99. He give the store clerk $50.00.
How much change should he get?
Answer:
$20.01
Step-by-step explanation:
Simply subtract $29.99 from $50.00 so, your problem should be set up like this:
You substitute the numbers with 10s, but there cannot be more than one.
Answer:
$20.01
Step-by-step explanation:
You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:
50.00 - 29.99 = ?
Then, this is what you should have after:
49.91(0) - 29.99 = ?
This is what you get after:
20.01
Then, add the dollar sign. You will get:
$20.01
Hope it helped!
Here is a number puzzle that uses math. Some might
call it a magic trick!
Step
4
0
8
1
17
2
0) Think of a number.
1) Double the number.
2) Add 9.
3) Subtract 3.
4) Divide by 2.
5) Subtract the number you started with
6) The answer should be 3.
14
3
4
7
3
Why does this always work? You can use the table to
try stuff out!
I JUST NEED THE BOTTOM QUESTIONS
Answer:
I think it always work out because they try to manipulate the equation such that you'll get 3
you can actually use other values apart from the ones used
3x +4= 9x + 3 I need help PLEASEEE
Answer:
x=-1/6
I luv u
In AMNO, m = 540 inches, n = 330 inches and o=600 inches. Find the measure of
20 to the nearest 10th of a degree.
Answer: 83.5
Step-by-step explanation:
FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.
Answer:
y=[tex]-\frac{3}{2}[/tex]+2
Step-by-step explanation:
for an equation to be parallel with another both should have the same rate of change(m).
the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)
Isolate for y:
2y+3x=8
2y=-3x+8
y=-3/2x+8/2
y=-3/2x+4
thus the slope of the line we are trying to find must also equal -3/2
use point slope form to find the equation (substitute (2, -1) into equation)
y-y1=m(x-x1)
y-(-1)=(-3/2)(x-2)
y+1=[tex]-\frac{3}{2}[/tex]x+3
y=[tex]-\frac{3}{2}[/tex]+2
how do you work out the problem -1n+1=11
Answer:
-1n + 1 = 11
subtract 1 both sides
-1n = 10
-n = 10
n= -10
Step-by-step explanation:
PLEASE PLEASE HELP ME
Answer:
length = 3√5
distance = √13
Step-by-step explanation:
length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]
length = √ 3²+6²
=√9+36
=√45=3√5
distance
d = √(x1-x2)²+(y1-y2)²
d= √(5-3)² + (-2-1)²
d=√2²+(-3)²
d=√4+9
d=√13
Which ratio is the same as 2/3?
Answer:
6:15 6 to 15 it's the same o