Answer:
1 solution
Step-by-step explanation:
To find this out you can just solve the equation so if you simplify you get
2+6x-24=3x
-3x=-22
x=22/3
so one solution
Decrease £14132.77 by 4.5%
Give your answer rounded to 2 DP.
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
Help pleasee! Thank uu
Answer:
The answer is the 2nd option
Step-by-step explanation:
Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?
Answer:
220 student and 241 adults
Step-by-step explanation:
x+y=461
3x+4y=1624
y=-x+461-----> 3x+4(-x+461)=1624
-x+1844=1624
+x -1624
x=220
3(220)+4y=1624
660+4y=1624
4y=964
y=241
There are 241 adult tickets and 220 student tickets did Sara sell.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sara sold 461 tickets for a school play.
And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.
Let number of adult tickets = x
And, Number of student tickets = y
Hence, We get;
⇒ x + y = 461 .. (i)
And, 4x + 3y = 1624 .. (i)
Multiply by 3 in (i);
⇒ 3x + 3y = 1383 .. (iii)
Subtract form (ii);
⇒ x = 241
And, From (i);
⇒ x + y = 461
⇒ 241 + y = 461
⇒ y = 461 - 241
⇒ y = 220
Thus, There are 241 adult tickets and 220 student tickets did Sara sell.
Learn more about the mathematical expression visit:
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30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the
following probability distribution:
a)
0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the
mean
b)
0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils
c)
0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the
mean
d)
0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils
e)0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils
Answer:
0.82
Step-by-step explanation:
I literally took the test
3n^2 + 8n + 16 = 2n^2
Answer:
=11n+2+8n+16+2n+2 simplification is 11n+20+2N
Step-by-step explanation:
SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU
Answer:
$88
Step-by-step explanation:
first, you find 20% of 57 which = 11.4
then subract it with 57 which looks like 57-11.4 = 45.6
= 45.6
first, you find 20% of 53 which = 10.6
then subract it with 53 which looks like 53-10.6 = 42.7
= 42.4
then you add them both which = 45.6+ 42.4= 88
find what x=______
show work pleae
Answer:
Use pythogoras theorem
a^2+b^2=c^2
x^2=c^2-a^2
x^2=15^2-12^2
x^2=81
x= square root of 81
x=9
Step-by-step explanation:
Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
If a = -3, find the value of 3a²
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
Answer:
Total cost to conduct survey = $2075
Step-by-step explanation:
Given that:
Number of questions on survey = 15
Number of people = 500
Base fee = $1000
Per question charge = $5
Per person surveyed = $2
Let,
q be the number of questions
p be the number of people
Total cost = Base fee + 5q + 2p
Total cost = 1000 + 5(15) + 2(500)
Total cost = 1000 + 75 + 1000
Total cost = $2075
Hence,
Total cost to conduct survey = $2075
Using the formula Distance = rate . time, find the distance covered by an airplane flying at 300 mph for 3 hours.
write a real word problem that you could represent 3+ x =10
HELP HELP HELP POINTS GIVEN
Answer:
the third one
Step-by-step explanation:
you cannot add the hypotenuse with anything else to equal a leg if that makes sense
Pls help me with this question.
Answer:
x=1Step-by-step explanation:
[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]
[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]
[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]
[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]
hope it helps:)
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answer:500
Step-by-step explanation:
if g(x) =x -7, what if the value of x when g(x) =6
Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
2. Evaluate
x=6+7
x=13
What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0
Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R
The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB
Step-by-step explanation:
Soln
given,
from the figure
coordinate of B is (5,3),
A(7,0) and C(0,4)
A. solution
let, M(x,y) be the mid point of AB
A(7,0) = (x1,y1)
B(5,3) = (x2,y2)
we know
x = (x2+x1)/2
or, x = (5+7)/2
or, x = 12/2
or, x = 6
and for y
y = (y2+y1)/2
or, y = (3+0)/2
or, y = 3/2
therefore M(x,y) = (6,3/2)
B. solution
let,
C(0,4) = (x1,y1)
B(5,3) = (x2,y2)
equation of line is ;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)
or, (y - 4)/(x - 0) = -1 / 5
by cross multiply
or, 5×(y - 4) = -1×(x)
or, 5y - 20 = -x
or, x + 5y = 20 is the required equation.
Please help.
Mary is currently 14 years older than her friend Courtney. In 5 years she will be 2 times as old as Courtney. Let x be Courtney’s age and solve for both of their ages.
How old is Courtney?
Answer:
x = 19
Step-by-step explanation:
x = Courtney's current age
14+x = Mary's current age
Mary's current age: 14 + 19 = 33
14 + x + 5 = 2x
19 = x
What is the y-intercept of y = -3x
Answer:
0
Step-by-step explanation:
The y-intercept of y = -3x is zero.
Answer:
0
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 0
*We assume that if the variable isn't there, it is 0 or being multiplied by 0.
I will mark brainliest thanks
Answer:
B
Step-by-step explanation: it All Becomes Negative if it is Reflected
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer:
Angle Y < Angle Z
Step-by-step explanation:
Answer:
angle X < angle Y
Step-by-step explanation:
........
What it 12/14<9=
I really need help on this :
Answer:
This isn't a real question... but i can explain what you gave. 12/14 is less than 1, so it is less than 9.
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
Solve for b in the equation 4(b + 2) = 16
Answer:
b=2
Step-by-step explanation:
The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
The required measure of side a of the rectangular prism is a = 9.3 meters.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3
Since the negative measure of length can be neglected.
a = 9.3 = b
Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.
Learn more about the surface area here: https://brainly.com/question/2835293
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