Answer:
a=7
Step-by-step explanation:
7(a – 10) = 13 – 2(2a + 3)
Open the bracket
7a-70=13-4a-6
Collect like terms
7a+4a=13-6+70
11a=77
divide both sides by 11
11a/11=77/11
a=77/11
a=7
Carlos' school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 6 adult tickets and 12 student tickets for a total of $204. The school took in $79 on the
second day by selling 5 adult tickets and 3 student tickets. What is the price each of one adult
ticket and one student ticket?
Answer:
Adult ticket = $8
Student ticket = $13
Step-by-step explanation:
Hi, to answer this we have to write a system of equations (sales equations)
6x + 12y =204 (first day)
5x +3y =79 (second day)
Where x is the price of each adult ticket and y is the price of each student ticket.
If we multiply the second equation by 4 , and subtract the first equation to the second equation:
20x +12y =316
-
6x + 12y =204
___________
14x = 112
Solving for x:
x =112/14
x = 8
Substituting x=8 on any equation:
5x +3y =79
5(8)+3y =79
40+3y =79
3y =79-40
3y = 39
y =39/3
y = 13
PLEASE HELP ME! WILL MARK BRAINLIEST! I WILL REPORT ABSURD AND INCORRECT ANSWERS!
2. Suppose, 11 numbers are given. When each of them was increased by 1, the sum of their squares did not change. Once again each number is increased by 1. Does the sum of squares change this time, and if so, by how much?
4. Several points were marked on a line after which a point was added between any two neighboring points. This operation was repeated 2 more times, and as a result, there were 65 points on the straight line. How many points were there in the beginning?
Hello, please consider the following.
PART 2
Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.
We can write the following
[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]
So the sum of squares changes by
[tex]\boxed{ \ 22 \ }[/tex]
PART 4
Let's say that we have n points at the beginning.
We will add n-1 points the first time, we will get n + n - 1 = 2n -1 points.
And then, the second time we add 2n - 1 - 1 points and we get
2n - 1 +2n - 2 = 4n - 3.
Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7 and it must be 65.
So, 8n -7 = 65 <=> 8n = 65+7=72 <=> n = 72/8=9
[tex]\boxed{= \ 9}[/tex]
Thank you
I appreciate all of the help! I need help again so sorry :(
Answer:
46
Step-by-step explanation:
44+x=90
x=46
Answer:
46 degrees
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
a+b=90
44+b=90
b=90-44
b=46 degrees
Hope this helps!
Write the equation of the line with the following characteristics.
a)Parallel to y=7x+2 through the point (0,0)
b)Slope of 2 through the point (0,−3)
c)A horizontal line through the point (0,3)
d)A vertical line through the point (−2,0)
PLZZZZ HELP VERY URGENT
Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
Slope-intercept form: y= mx+bParallel lines have same slopea)Parallel to y=7x+2 through the point (0,0)
This line will have a form:
y= 7x + bConsidering the given point of (0,0), to find the value of b:
0= 7*0+b ⇒ b =0The line is:
y = 7xb)Slope of 2 through the point (0,−3)
Solving as above:
y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3c)A horizontal line through the point (0,3)
A horizontal line will have constant value for y for any value of x:
y = 3d)A vertical line through the point (−2,0)
A vertical line will have constant value of x for any value of y:
x= -2A man measured his height and found 5.7 feet. However, after he carefully measured his height a second time, he found his real height to be 5 feet.What is the percent error the man made the first time he measured his height?
Answer:
percentage error = 12.28%
Step-by-step explanation:
5 x 0.14 = 0.7
5 x 1.14 = 5.7
as increase is not the same as error decrease.
We use the same numbers 12.28% = 0.1228.
5.7 x 0.1228 = 0.69996 = 12.28%
5.7 - 0.69996 = 5.00004 foot. As decrease.
And find it is correct.
His error therefore was 12.28% out.
As we work the first numbers 5.7 and can only x by a number to see 5ft
We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot. (5.00004) ft.
Answer:
14%
Step-by-step explanation:
percent error = (experimental measure - real measure)/(real measure) * 100%
percent error = (5.7 ft - 5 ft)/(5 ft) * 100%
percent error = (0.7 ft)/(5 ft) * 100%
percent error = 0.14 * 100%
percent error = 14%
11. Britney wants to bake at most 0 loaves of bread for a bake sale.
She wants to make banana bread that sells for $1.25 each and
nut bread that sells for $1.50 each and make at least $24 in sales.
Write a system of inequalities for the given situation and
the inequalities.
Answer:
Look at the attachment
Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month
Answer:
Your realized income is an estamated $2876.81 per month
Step-by-step explanation:
36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81
could someone please help me with this problem?
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m = [tex]\frac{20-9}{12-4}[/tex] = [tex]\frac{11}{8}[/tex] → C
does anyone know the answer to this ?
Answer:
the horse walked 20 feet away i think
Step-by-step explanation:
i say this because it shows an arrow from a horse to the 20 square feet
Answer:
Step-by-step explanation:
it is a three quarter circle with radius=7.1 ft
reqd. area=3/4 πr²
=3/4×π×7.1²
≈3/4×3.14×7.1²
≈118.72 ft²
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
A line has *fill in blank* but no *fill in blank*.
Answer:
A line has length, but no width or height
Step-by-step explanation:
Help please!
Which expressions are equivalent to -5/19
Answer:
Options 3, 4, and 5 are all equivalent
The expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.
We have given that
-5/19
What is the expression?
An expression is a sentence with a minimum of two numbers and at least one math operation.
1) 5/19
Option 1 is not correct.
2)-5/-19
Implies that 5/19.
Option 2 is also not correct.
3) -5/19
Option 3 is correct.
4) 5/-19=-5/19
This is the correct option.
5)-(5/19)=-5/19
This is also the correct option.
Therefore, the expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.
To learn more about the expression visit:
https://brainly.com/question/723406
Please help me!!! :(
Answer:
280
Step-by-step explanation:
7*5*4*2=280
Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3
A) 1/4
B) 1/2
C) 3/4
D) 4/3
Answer:
Option C
Step-by-step explanation:
9/3=3
12/3=4
so, the answer is 3/4
Option C
Answer:
Think of it as 9 / 3 = 3
12 / 3 = 4
so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1
Hope this helps
Step-by-step explanation:
When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)
To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10
Answer:
The digit goes to the right of the decimal point
Step-by-step explanation:
If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.
2(x-3)=16 solve for x
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]2\left(x-3\right)=16\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(x-3\right)}{2}=\frac{16}{2}\\Simplify\\x-3=8\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\x-3+3=8+3\\x=11[/tex]
Answer:
tbh idk ask someone else. i take pre-cal
Step-by-step explanation:
Can someone help me out
Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs. What percentage of time was spent sprinting? please explain how you get the answer, I want to understand on my own and math is a struggle for me.
If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
What is Percentage?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given that;
Time spent on push ups = 2 hoursTime spent on sprints = 1 hoursTime spent on benching = 1.5 hoursPercentage of time spent sprinting P = ?First we determine the total time.
T = tPUSHUPS + tSPRINT + t BENCHING
T = 2hrs + 1hr + 1.5hrs
T = 4.5hrs
Now, percentage of time spent sprinting P will be;
Percentage = ( Part / Whole ) × 100%
Percentage = ( tSPRINT / Total time ) × 100%
P = ( 1hr / 4.5hr ) × 100%
P = ( 0.2222 ) × 100%
P = 22.2%
Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
Learn more about Percentages here: brainly.com/question/24159063
#SPJ2
Can someone help me on these two questions?
Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1. 88
2. 48
Step-by-step explanation:
1. The total of the inner angles of the hexagon is 720
95+120+120+172+125=632
720-632=88
2. 2x=x+8
x=8
If we put all the x's in place and add them, the result is: 48
Any ratio can be written as a complex ratio. Any ratio can be written as a
complex ratio. *
O True
O False
The given statement that any ratio can be written as a complex ratio is;
Option A; True.
A complex ratio is simple defined as a ratio to a ratio.For example if the numerator is a ratio/fraction and the denominator is also a ratio or fraction. Such as; (3/4)/(5/8), (2/3)/(4/5) e.t.c.
Now, let us say we have a simple ratio like 7/8. Now we can also express this as a complex ratio because;7 is same as 14/2
Also, 8 is the same as 24/3.
Thus, we can write that; 7/8 = (14/2)/(24/3)
From the example of converting a simple ratio to a complex one, we can see that any ratio can be converted to a complex ratio.Read more at; https://brainly.com/question/9280099
solve for x in 4x-4/x+4=10
Answer:
-22/3 =x
Step-by-step explanation:
(4x-4) /(x+4) = 10
Multiply each side by (x+4)
(4x-4) /(x+4) * (x+4) = 10 * (x+4)
(4x-4) = 10 * (x+4)
Distribute
4x-4 = 10x+40
Subtract 4x from each side
4x-4-4x = 10-4x+40
-4 = 6x+40
subtract 40 from each side
-4 -40 = 6x+40-40
-44 = 6x
Divide each side by 6
-44/6 = -6x/6
-22/3 =x
Answer:
x = -22/3
Step-by-step explanation:
4x - 4 / x + 4 = 10
=> 4x - 4 = 10(x + 4)
=> 4x - 4 = 10x + 40
=> 4x - 10x = 40 + 4
=> -6x = 44
=> x = -44/6
=> x = -22/3
help me please i need it !
Answer:
A
Step-by-step explanation:
There is 2 of the same number on the Y
What is the surface area of a cone with a radius of 3 cm and a length of 8 cm
Answer: surface area = 108.8 sq. cm
Step-by-step explanation:
A=πr(r+√h2+r2)
Answer:
108.8cm^2
Step-by-step explanation:
Surface Area
A = πr(r+ √h2+r2)
A= π3 * (3 +1/3) √64 + 9 (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32
A= 108.7
Volume
V=πr2h/3
V= π9*8 = π72/3 = 226.28/3
V= 72.4cm^3
Additional
The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.
To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.
l2 = h2 + r2
l2 = 64 + 9
l = √(73)
l = 8.54 cm
And the total surface area of the cone is:
SA = πr2 + πrl
SA = π · r · (r + l)
SA = π · 3 · (3 + 8.54)
SA = π x 3 . 11.54
SA = 9.42477796077 x 11.54 = 108.76 cm2
SA = 108.8cm^2
Angie has a box that is 3/4 of a foot long What fraction is equal to the length, in feet, of the box?
A. 6/12
B. 8/12
C. 9/12
D. 11/12
EXPLAIN AS WELL WHY YOU PICK THAT ANSWER!
Answer:
C.
3 x 3 = 9
4 x 3 = 12
3/3 = 1 so it is equal
3/4 = 9/12
Step-by-step explanation:
If sec x = −13/5 and tan x < 0, then cos x =
Answer:csc(x
Step-by-step explanation:You welcome
a bus travels at a speed of 80km per hour . what is the distance it travels by 15 mins.
Answer:
The bus will travel 20km within 15 minutes
Step-by-step explanation:
Answer: 20 km
Step-by-step explanation:
Distance = speed / time
Half of a number plus three
times the number.
Write it in expression or equation solve the equation
Answer:
Step-by-step explanation:
7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.
Answer:
Step-by-step explanation:
[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]
[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]
Solve the equation 12 + 2x = 16
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]12 + 2x = 16[/tex]
[tex]2x=16-12[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
I need help with this question
-30(E+H=50)
-30E-30H=-1500
30E+60H=1950
(add the 2 equations)
0E+30H=450
H=15
(plug H into first equation)
E+15=50
E=35
