Answer:
reserved tickets = 6 and general admissions tickets = 15
Step-by-step explanation:
[tex]25r + 10g = 150[/tex]
Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.
Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g
[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]
divide both sides by 10
[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]
Now set g equal to zero since he isn't buying any general tickets. Solve for r.
[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]
divide both sides by 25
[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]
find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
I would appreciate if you answered!
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?
a factory makes lightbulb's out of 400 light bulbs 18 were found to have defective filaments
Answer: If you are asking for percentage, 18/400 bulbs were defective. In other words, 4.5% of bulbs were defective. This also means that 95.5% of bulbs were not defective.
Would appreciate brainly <3
i need help with something pls help asap
Answer: h < 7
Step-by-step explanation:
h + 3 < 10
h + 3 - 3 < 10 - 3
simplify:
h < 7
4(x-3)/8=y change the subject to x
find the total surface area of this triangular prism PLEASE HELP
Answer:
Step-by-step explanation:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
S.A=(help me)
Which scatter plot shows a positive linear association
Answer:
Plot AStep-by-step explanation:
Both B and C show a decreasing plot, while C is linear.
Only A is a positive ignoring the outliers.
The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?
Answer: Percentage increase is 87.02%.
Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.
a. Subtract value in 2012 from value in 2011
b. Divide the answer in part a by value in 2011.
c. Multiply the answer in part b by 100.
We have the percentage increase.
mark brainliest pls
2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)
Please explain
Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.
Answer:
-2.4, or -72/30 or -2 4/10
Step-by-step explanation:
m + np - q
m = 1/15
n = -1/3
p = -0.4
q = 2 1/3
1/15 + (1/3)(-0.4) - 2 1/3
1/15 + (-4/30) - 2 1/3
2/30 - 4/30 - 70/30
-2/30 - 70/30 = -72/30
-72/30 = -2.4
-Chetan K
Please help (picture is linked)
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
solve pls brainliest
Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
Please help homework due tomorrow!!
12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?
13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?
Answer:
12-157.5 13-6ft
Step-by-step explanation:
the first one just look up 65% of 450 and minus the number you get by 450
the second one do the butterfly method
[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]
the heights on top and shadows on bottom
12x=72
x=6
What is a rate in math.
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
What is the degree of 6x5 - 4x2 + 2x2 – 3 + x?
O A. 6
O B. 2
C. 5
O D. 3
Answer:
5
Step-by-step explanation:
It is the greatest exponent.
solve the short line equation, image attached, giving brainliest please help
Answer:
x = 3
Step-by-step explanation:
2 - 2x = -3 - -1
2 - 2x = -4
-2x = -6
-2x / -2 = 1x
-6 / -2 = 3
ur answer is then 1x = 3 or x = 3.
What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)
[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]
There are no like terms so we can't simplify itFactoring[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]
[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]
Answer:
Choice D
Step-by-step explanation:
Factorise: 4x²-9y²
We can obtain the factorization by this identity:
a² - b² = (a+b)(a-b)Rewrite the given expression as:
(2x)² - (3y)²Let (2x)² be a and (3y)² be b according to the identity.
So applying the identity:
(2x+3y)(2x-3y)(2x-3y)(2x+3y)Choice D is accurate.
Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour
Answer:
The final total including tax is 838.5
The sale tax is 58.5
Step-by-step explanation:
Please help. ( WILL MARK BRAINLIEST)
Answer:
499.2 cm^2
Step-by-step explanation:
((12*10.4)/2)*8=6*10.4*8=499.2
Formulas Used:
Area of triangle - 1/2bh
A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
P=2L + 2W; L= 4, W = 8
Answer:
P = 24
Step-by-step explanation:
P = 2L + 2W ( substitute L = 4, W = 8 into the formula )
P = 2(4) + 2(8) = 8 + 16 = 24
Answer :
Step-by-step explanation:
P=2(4)+2(8)
P=8+16
P= 24
if an angle is bisected to form two new 16° angles, what was the measure or the original angle
Answer:
32°
Step-by-step explanation:
16 × 2 = 32
Keywords:
Bisected; means to divide into two parts.
Answer:
So, original angle = 16°+16° =>32°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
y = 0.5x + 6.50Learn more : https://brainly.com/question/17225268
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
Write an equation of a line that passes through the point (2, 0) and is perpendicular to the line y=-1/2x+3
Answer:
I think it's. y=-2/1x+2
3
15. 6x + 10y=0
Find the slipe
Answer: y = -3/5x
............................................
Answer the question below:
A: 2 units right and 6 units up
B: 6 units left and 2 units down
C: 2 units left and 6 units up
D: 6 units right and 2 units down
Answer:
c
Step-by-step explanation:
Angles of a triangle worksheet
I got most of it but still confused on the rest… anyone got answers ASAP!
Answer:
I wish a could help u,
Step-by-step explanation:
I dont know what is that:)
Type the missing digit below
6,387,_36 is divisible by 8.
help me fro brainleist.........
Answer:
2nd one is parallel and last one is perpendicular.