Answer:
slope is -4, equation is y= -4x + 35
Step-by-step explanation:
11-15
______
6-5
-4
____
1
11 = -4(6) + b
b = 35
A family bought a total of 16 adult and child tickets to a magic show. Adult tickets are $10.50 each and child tickets are $7.50 each. The family paid a total of $141. How many of adult tickets, a, and child tickets, c, did they buy?
9514 1404 393
Answer:
7 adult tickets9 child ticketsStep-by-step explanation:
Using the variables defined in the problem statement, we can write the equations ...
a + c = 16 . . . . . . . . . . . . number of tickets bought
10.50a +7.50c = 141 . . . cost of tickets bought
Substituting for c in the second equation, we get ...
10.50a +7.50(16 -a) = 141
3.00a +120 = 141 . . . . . . . . simplify
3a = 21 . . . . . . . . . . . subtract 120
a = 7 . . . . . . . . divide by 3
16 -a = c = 9 . . . . . . . find the number of child tickets
They bought 7 adult tickets and 9 child tickets.
_____
If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.
A computer store pays sales associates $10 per hour
and managers $15 per hour. If the total hours
worked by the sales associates is 100 and the total
hours worked by managers is 50, how much will the
store pay in wages?
Answer:
They pay a total of $1750.
Step-by-step explanation:
You multiply the hours by the pay per hour SO,
Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"
Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"
Add the total sums ($750 + $1000) and get a total of $1750
Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
Answer:
[tex]x^3-3x^2-10x+24[/tex]
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
[tex]x= 2, -3, 4[/tex]
[tex](x-2)(x+3)(x-4)[/tex]
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])
The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].
3x + -18x + 26x + -11x
Answer:
0
Step-by-step explanation:
First, you have 3x and subtract 18x from it. This gives you -15x.
Then you have positive 26x, so you add 26x onto -15x.
After doing so, you have a positive 11x.
Now you need to subtract 11x from 11x.
Your final answer is 0! (No need to put x since it is just zero.)
Have a nice day and mark brainliest if you can, I would appreciate it tons!
pls respond ... 30 points :)
Answer:
B, 2x^2 - 4x + 8
Step-by-step explanation:
Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:
Length × Width = Area
Given these values, rearrange the formula to find the width:
Width = Area / Length
Then just substitute the values, and
simplify the expression:
Width = (4x^2 - 8x + 16) / 2
Width = 2x^2 - 4x + 8
Answer:
I think its B but dont keep my word as facts thats just what i think hope this helps even a little
Step-by-step explanation:
Write 0.00034 as a multiple of a power of 10.
Answer:
3.4X10^-4
remove the zeros and add a decimal point after the first number eg.
0.00034 --> 34 --> 3.4
then add a x 10 eg.
3.4x10
then add a power- if the number is larger than 1 count the amount of zeros and add that as your power eg.
3400 -> 34 -> 3.4 -> 3.4x10^2
If the number is lower than one use a negative power eg.
0.00034 -> 34 -> 3.4 -> 3.4x10^-4
(Hope this helps sorry if its to complicated)
all real numbers less than or equal to 9 and greater than or equal to 7 please hurry
Answer:
[tex]7 \leq x \leq 9[/tex]
Step-by-step explanation:
Let [tex]x[/tex] represent the real numbers.
For the first part, all real numbers less than or equal to 9 in algebra is [tex]x \leq 9[/tex].
For the second part, all real numbers greater than or equal to 7 in algebra is [tex]x \geq 7[/tex].
To combine both inequalities, it would become [tex]7 \leq x \leq 9[/tex].
Hope this helped! If not, please let me know! <3
The real numbers are 7, 8, and 9.
We are given two statements:
All real numbers are less than or equal to 9.All real numbers are greater than or equal to 7.We have to use these two statements, form an inequality for the real number and find the real numbers.
What is inequality?Inequality is a relation that makes a non-equal comparison between two mathematical expressions.
There are five types of inequality:
[tex]Less~~than~ = ~ < \\Greater~~than~=~ > \\Less~~than~~or~~equal~~to~=~\le\\Greater~~than~~or~~equal~~to~=~\ge[/tex]
Let the real number be x.
Now using the two given statements we have,
[tex]x\le9\\x\ge7[/tex]
If we combine these two equations we get,
[tex]7\le x \le 9[/tex]
Thus we can say that the real numbers are 7, 8, and 9.
Learn more about inequalities of real numbers here:
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During a special sale, all video games cost $26 and all movies cost $14. Derrick plans to spend some or all of his $220 in birthday money on these movies and video games. Let "x" represet the number of games Derrick can buy and "y" represent the number of movies he can buy. Write the inequality that describes this situation in standard form.
Answer:
[tex]13x+7y\leq 110[/tex]
Step-by-step explanation:
Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.
Cost of all video games = $26
Cost of all movies cost = $14
Total amount with Derrick = $220
So,
cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220
Therefore, the inequality is [tex]26x+14y\leq 220[/tex]
Divide this inequality by 2
[tex]13x+7y\leq 110[/tex]
Find four numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
NEED TO ANSWER IN NEXT FIVE MINUTES!!!!!! HELP PLEASE!!! WILL MARK BRAINLIEST AND GIVE 20 PTS!!
Answer:
Given a=35 and ∠β=42°,
b = 31.51414
c = 47.09715
∠α = 48° = 0.83776 rad = 4/15π
h = 23.41957
area = 551.49748
perimeter = 113.61129
inradius = 9.7085
circumradius = 23.54857
Step-by-step explanation:
Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
Please answer ASAP
Order Numbers From Least to Greatest
Answer:
Least 6.7x10-3 0.67 6.7% 6/9 Greatest
Step-by-step explanation:
what is the answer for −3x−6+(−1)
Answer:
-3x-7
Step-by-step explanation:
Combine like terms
-6+-1 = -6-1 = -7
Hence, it's -3x-7
Complete the steps to solve for x.
-0.66x + 0.46x = 5.2
X = 5.2
Answer:
[tex]\huge\boxed{x=-26}[/tex]
Step-by-step explanation:
[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]
Answer:
-26
Step-by-step explanation:
solve for m
Y=Mx+b
With explanation
solve for t..... -3(t-5)= -30 please help its for today!!!
below are two parallel lines with a third line intersecting them
A math professor writes down two consecutive whole numbers from the range from a through 10. She tells one of the numbers to Maurice and the other to Hani. Maurice says to Hani "I don't know your number." Hani replies "And I don't know yours." Then Maurice says "Now I know your number." What are the two numbers?
Answer:
Throughout the clarification section following, the definition of the problem is mentioned.
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
Maurice's number Hani's number
2 3
3 4
6 7
9 10
Even though professor whites away, Maurice as well as subsequently Hani are allocated two consecutive full numbers as well as first numbers. Furthermore, in any circumstance, the number of Hani should be one more than any of Maurice, as well as the number of Maurice should be one lower than the average Hani.PLS HELP THIS IS HOMEWORK AND ITS DUE TOMORROW
3. Which equation can be used to find the measurement of ∠MNO, if the value of ∠LMN is 77 degrees? *
Answer:
154+2x=360
Step-by-step explanation:
Since the opposite angles are the same you add them together getting 154. You now have two unknown angles that are congruent which is expressed as 2x, and since a four sided shape always has an interior angle of 360 you set it equal. This gives you 154+2x=360.
Answer: It is the last one
154 + 2x = 360
Step-by-step explanation:
x= 103
154 + 2(103)= 360
154 + 206 =360
Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?
Answer:
mark brainlest45
Step-by-step explanation:
in one hour she can make 9 ( 27 divided by 3)
so in 5 hours 45 bc 5x9 is 45
help which one is it
Answer:
I think it's 3 units to the left and 6 units down
Step-by-step explanation:
Hope I helped!
Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?
Answer:
$31.70
Step-by-step explanation:
aPEx0.52 divided by 0.0013
Answer:
400
Step-by-step explanation:
(-2 1/3 + 5 1/5) + 1 1/3 =
4Answer:
exact form:
[tex]\frac{21}{5\\}[/tex]
decimal form:
4.2
mixed number form:
4[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The first side of a triangle is 2 inches shorter than three times the second side. The third side is 1 inch longer than twice the second side. If the perimeter of the triangle is 101 inches, how long is each side?
(Answer to get brainliest)
Answer:
17in, 49in, 35in
Step-by-step explanation:
I did this in my RSM homwork and it is correct.
First, I added the two inches shorter to the 101, then subtracted 1 longer and got 102.
then divide 102 by how many second lengths, 6. so 102 ÷ 6 = 17
17 is the second length.
3x17-2=49 (another length)
2x17+1=35 (last length)
and there is your answer!
First side : 49
Second side : 17
Third side : 35
What is the perimeter of a triangle?
If triangle has sides a, b, c , then the perimeter of that triangle will be P= a +b +c.
Now, according to the question
Let second side be (b) = x unit
then, First side will be (a)= 3x-2 unit
and Third side will be (c)= 2x + 1 unit
since , perimeter is 101
P = a + b + c
x + 3x -2 + 2x + 1 = 101
6x - 1 = 101
x= 17
hence , b = 17 unit
a= 3*17 - 2 =49 unit
c = 2*17 +1 = 35 unit
Lets learn more about perimeter of a triangle
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Write the equation of the line through the points (4, 5) and (12, 9)
Answer:
y = 1/2x + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 5 / 12 - 4 = 4/8 = 1/2
y = mx+b
slope/m = 1/2
y = 1/2x + b
5 = 1/2(4) + b
5 = 2 + b
3 = b
y = 1/2x + 3
The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6
From the question,
We are to determine the equation of the line passing through the points (4, 5) and (12, 9)
Using the formula,
[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
From the given information
x₁ = 4
y₁ = 5
x₂ = 12
y₂ = 9
Putting the parameters into the formula, we get
[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]
Then,
[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]
[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]
Then,
[tex]x - 4 = 2(y-5)[/tex]
[tex]x - 4 = 2y-10[/tex]
[tex]x -2y = -10 + 4[/tex]
[tex]x -2y = -6[/tex]
Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6
Learn more on determining the equation of a line here: https://brainly.com/question/18035751
In the picture lines AB and CD are parallel. Find the measures of ∠ECF.
Answer:
If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)
Step-by-step explanation:
20 pounds of pet food for
$14.99
Find the unit rate?
Answer:
$0.75 per pound
Step-by-step explanation:
To find the unit rate, divide the price by the amount you have.
14.99/20 = 0.7495
Factor 8x^{4}-46x^{2}+45
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST
Answer:
(4x^2-5) x (2x^2-9)
Step-by-step explanation:
01.) Write -46x^2 as a difference
8x^4-10x^2-36x^2+45
02.) Factor out 2x^2 from the expression
8x^4-10x^2 -36x^2+45
2x^2 * (4x^2-5) - 36x^2+45
03.) Factor out -9 from the expression
2x^2 * (4x^2-5) - 9(4x^2-5)
2x^2 *(4x^2-5)-9(4x^2-5)
04. Factor out 4x^2-5 from the expression
(4x^2-5) *(2x^2-9)
Solve the equation 6(2x + 4)2 = (2x + 4) + 2.
Answer:
-21/11
Step-by-step explanation:
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First I would distribute what I can...
[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]
Now we combine like terms...
[tex]24x+48=2x+6[/tex]
Subtract 2x from both sides...
[tex]22x+48=6[/tex]
Subtract 48 from both sides...
[tex]22x=-42[/tex]
Divide both sides by 22...
[tex]x=-\frac{21}{11}[/tex]
So the answer is [tex]-\frac{21}{11}[/tex]