Answer:
The amount of money originally spent and the money made by Stefan is required.
Stefan originally spent $110.
Money Stefan made is $66.
Step-by-step explanation:
One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42. 50. The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34. 50. Let p represent the cost of one container of popcorn. Let g represent the cost of one granola bar. Which system of equations will solve for p and g? 5 p 4 g = 34. 50. 3 p 6 g = 42. 50. 4 p 5 g = 34. 50. 3 p 6 g = 42. 50. 4 p 5 g = 42. 50. 6 p 3 g = 34. 50. 5 p 4 g = 42. 50. 3 p 6 g = 34. 50.
The cost of one container of popcorn and granola is $6.5 and $2.5.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.
The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.
To findThe equation and solution of the equation.
How to get it?Let p represent the cost of one container of popcorn.
Let g represent the cost of one granola bar.
A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.
5p + 4g = 42.50 .....1
The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.
3p + 6g = 34.50 .....2
From Equations 1 and 2, we have
p = 6.5 and g = 2.5
Thus, the cost of one container of popcorn and granola is $6.5 and $2.5.
More about the linear system link is given below.
https://brainly.com/question/20379472
which of the following is a type of special triangle
a) 45- 45-90
b ) 25-50-75
c) 60-60-60
d) all of above
Answer:
A) 45-45-90
Step-by-step explanation:
45-45-90 is a special right triangle.
What is the value of x if the acute angles of a right triangle measure 8x* and 12x*?
*= degrees i cant use degree signs on here so im using (*)
Answer:
x = 4.5
Step-by-step explanation:
8x + 12x + 90 = 180 {Sum of all angles of a triangle is 180}
20x + 90= 180
20x = 180 - 90
20x = 90
x = 90/20
x = 4.5
Louie ascended 6.75 miles up a mountain. Then he descended 3.4 miles down the mountain.
What is Louie’s location compared to his starting position?
A. 10.15
B. 3.35
C. –3.35
D. –10.15
Louie’s location compared to his starting position is;
B: 3.35 miles
Calculation of Displacement
We are told that Louie ascended 6.75 miles up a mountain. Thus;
Displacement from present position is +6.75 miles.
Now, we are told that he descended 3.4 miles down the mountain. Thus, his new displacement relative to his original position is;
+6.75 - 3.4 = 3.35 miles
Read more about displacement at; https://brainly.com/question/4931057
Answer:
b
Step-by-step explanation:
cuz i think it is
HELPP PLEASEEEE ANYONE!!
Answer:
kathryn= 6 years old
her mother= 38 years old
Step-by-step explanation:
kathryn=x
mother= x²+2
x²+2 +x=44
x=6
kathryn= 6 years old
her mother= 38 years old
write a number sentence that tells what the model represents
PLS HELP I NEED THIS DONE BY TODAY!!!
Answer:
10.08
Step-by-step explanation:
In [tex]\triangle ABC,\: m\angle ACB =90\degree [/tex]
[tex]\implies \triangle ABC [/tex] is a right triangle, in which side AB is hypotenuse and sides AC and BC are mutually perpendicular.
By using Pythagoras theorem:
[tex]AC^2 = AB^2 - BC^2 \\ \\ = {(11)}^{2} - {(4.4)}^{2} \\ \\ = 121 - 19.36 \\ \\ = 101.64 \\ \\ \implies \: AC= \sqrt{101.64} \\ \\ \huge\implies \: \red{AC=10.08}[/tex]
pls help
math math math
Answer:
1)
[tex] \frac{3 {b}^{5} }{2} [/tex]
2) -5
3)
[tex] - 2 {a}^{2} {b}^{2} [/tex]
4) 2a
Answer:
What is the value of x so I can solve it
HELP ME ON THIS QUESTION.
Answer:
8
Step-by-step explanation:
area of parallelogram = b*h
= 27*11
=297 ft^2
1 can = 40 ft^2
? = 297
cans = 8 cans
What is 2s+3 > 15 it’s a two step inequalities?
Answer:
s > 6
Step-by-step explanation:
1st step: subtract 3 from each side of the inequality to get:
2s > 12
2nd step: divide each side by 2 to get:
s > 6
What is the sum of –18 and 12?
A. –6
B. –12
C. 12
D. 6
Answer:
A: -6
Step-by-step explanation:
Flip around the question
what is 12 - 18
If you count the numbers in between 12 and 18
You get 6
So now just make the answer negative
your answer is A.-6, i think its helpful
Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation.
Answer:I think it’s C and D and she drinks 14 ounces
Step-by-step explanation:
Hope this helped
If 544+366=910 then 910-544=366 explain why the statement is true using numbers,pictures,or words
Answer:
Down here
Step-by-step explanation:
544 + 366 = 910
910-544 = 366
Reformat the top equation:
544 + 366 = 910366 = 910 - 544910 - 544 = 366Pause:
Notice how the current equation and the second equation are the same. This proves that both equations are the same.
-Chetan K
Explanation:
Geometrically
The attached drawing shows that the sum of 544 and 366 is 910. It also shows you that 366 is the difference between 910 and 544, and that 544 is the difference between 910 and 366.
__
Algebraically
The subtraction property of equality tells you the equal sign in an equation remains valid if the same value is subtracted from both sides of the equation. Other properties of equality and addition can be used to rearrange the equation to the form given in the problem statement.
544 +366 = 910 . . . . . . . . . . . given
544 +366 -544 = 910 -544 . . . . subtract 544 from both sides
544 -544 +366 = 910 -544 . . . . commutative property of addition
0 +366 = 910 -544 . . . . . . . . . . . definition of additive inverse
366 = 910 -544 . . . . . . . . . . . . . . identity element property of addition
910 -544 = 366 . . . . . . . . . . . . . . symmetric property of equality
__
Additional comment
Essentially, every addition equation has two dual subtraction equations. For the given addition equation, they are ...
910 -544 = 366 . . . . . . the one of concern here
910 -366 = 544 . . . . . . the other dual equation
The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.
5x2 + 27x = 14 − 13x
5x2 + 40x = 14
5(x2 + 8x) = 14
Which is the best step to do next to solve the equation by completing the square?
5(x2 + 8x + 16) = 30
5(x2 + 8x + 16) = 94
5(x2 + 8x + 4) = 18
5(x2 + 8x + 4) = 34
Answer:
[tex]5(x^2+8x+16)=94[/tex]
Step-by-step explanation:
[tex]5(x^2+8x+(\frac{8}{2})^2)=14+5(\frac{8}{2})^2\\ \\ 5(x^2+8x+16)=14+5(16)\\\\5(x^2+8x+16)=14+80\\\\5(x^2+8x+16)=94[/tex]
One restaurant sells a family meal for $22 plus $2 per drink.
.
Another restaurant sells a family meal for $25 plus $1.50 per
drink. How many drinks need to be purchased at each
restaurant so the the total cost for a meal and drinks is the
same?
Answer:
the 2$ resturant needs 11 and the $1.50 needs 16
Step-by-step explanation:
division
The ration of base to height of a parallelogram is 2 : 3. If the area of the parallelogram is 1734 cm2 then find its base and height.
Answer:
base is 34 cm
height is 51 cm
Step-by-step explanation:
let 3x = height
let 2x = base
1734 = (2x)(3x)
1734 = 6x²
divide each side by 6 to get:
289 = x²
[tex]\sqrt{289}[/tex] = x
17 = x
3(17) = height = 51
2(17) = base = 34
if an airplane travels 660 mph how long will it take an airplane to travel to a distance of 2970 miles?
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
660 miles = 1 hour
1320 miles = 2 hours
1980 miles = 3 hours
2640 miles = 4 hours
There are only 330 miles left and that is half of 660mph so therefore it would only take half an hour for these last 330 miles.
So we know that it will be taking 4 hours, you would then add the 30 minutes which gives you 4 hours and 30 minutes.
Hope this helps!
I rlly need help solving
Answer:
x=20
Step-by-step explanation:
The line is a straight line, which is 180 degrees
x+100+3x = 180
Combine like terms
100+4x = 180
Subtract 100 from each side
100+4x-100=180-100
4x=80
Divide by 4
4x/4 = 80/4
x=20
I need help with 2. And please hurry.
Answer:
number 8 is the product o hope i got it in time for you
Time (minutes)Number of Pages 10 15 20 30 30 45 40 60 The time it takes Bill to read varies directly with the number of pages. Bill's data is shown in the table. If x = time, and y = the number of pages, which equation models Bill's direct variation? A)y = 15x B)y = 1.5x C) y = 15 + x D )y = 1.5 + x
Answer:
B. y = 1.5xStep-by-step explanation:
Direct variation:
y = kxOrdered pairs as per table:
(10, 15), (20, 30), (30, 45), (40, 60)Find the value of k:
15 = 10k k = 15/10k = 1.5The equation is:
y = 1.5xCorrect choice is B
How do I solve for the variables?
Answer: To solve a formula for a specific variable means to get that variable by itself with a coefficient of 1 on one side of the equation and all the other variables and constants on the other side.
I don't know if this helps at all
Hurry ASAP!!!!! I only need help with number 6 please explain how you get the answer to! The instructions for his equation is: subtract by changing the signs of the subtrahend and combining as in addition!
Answer:
-ax + 6by + 10
Step-by-step explanation:
(2ax + 3by + 5) - (3ax - 3by - 5)
Subtrahend is the value AFTER the subtraction sign. So in this example the subtrahends enclosed in the 2nd bracket are 3by and 5.
So subtracting by changing the signs of the subtrahends:
= 2ax + 3by + 5 - 3ax + 3by + 5
Collecting like terms:
= 2ax - 3ax + 3by + 3by + 5 + 5
Combining like terms:
= -ax + 6by + 10
What is x in x/5 if the overall total is 20
Answer:
x/5 =
Step-by-step explanation:
to find this,, you put x / 5 = 20 meaning you need to multiply 20 by 5 to get 100. 100/5 =20
Find the slope of the line graphed below
Answer: -2/3
Step-by-step explanation:
think rise over run!
rise = 4
run = 6
slope --> rise / run --> 4 / 6 --> 2 / 3
since the slope is going downwards we know it's negative
slope = -2/3
Slope = Rise / Run
---How much the line goes up/down, over how much the line goes left/right
We can find the slope by counting up and over, or by using the slope formula.
Slope Formula = (y2 - y1) / (x2 - x1)
Point 1 = (3, -1)
Point 2 = (-2, 3)
Slope = (3 - - 1) / (-2 - 3)
Slope = (3 + 1) / (-2 - 3)
Slope = 4 / -5
Slope = -4/5
Hope this helps!
I total of 508 tickets are sold for the school play they were either adult tickets or student tickets there were 58 more student tickets sold than adult tickets how many adult tickets were sold?
Answer:
Adult tickets sold = 225
Student tickets sold = 283
Step-by-step explanation:
Let A = total adult tickets sold
Let S = total student tickets sold
If a total of 508 tickets were sold, then A + S = 508
If there were 58 more student tickets than adult tickets sold, then
S = A + 58
Substitute S = A + 58 into A + S = 508 to find S:
A + (A + 58) = 508
2A + 58 = 508
2A = 508 - 58 = 450
A = 450 ÷ 2 = 225
If A = 225, then using S = A + 58, find S:
S = 225 + 58 = 283
Adult tickets sold = 225
Student tickets sold = 283
A skateboard was reduced in price from $50 to $43. What was the percent decrease?
2%
14%
16%
7%
P.S. thank you in advance.
Answer:
14%
Step-by-step explanation:
50 - 43= 7,
solve x/100 * 50 = 7,
x = 14
7 = 14% of 50
1)Factorise: ² + 9 + 20
Answer:
50$×40_=,29
Step-by-step explanation:
no explanation needed
Find the qoutient 1 1/6 / 1/12
Answer:
14
Step-by-step explanation:
[tex]1\frac{1}{6}\div\frac{1}{12}\\ \\ \frac{7}{6}\div\frac{1}{12}\\ \\\frac{7}{6}*\frac{12}{1}\\ \\\frac{84}{6}\\ \\14[/tex]
pls help me it's due today
Answer:
it would be 2
Step-by-step explanation:
pls help.
Pls quick......
Answer:
1) 3
2) 1
3) -5
Step-by-step explanation:
The coefficients are the numbers that come before each variable.
The 3 in the first term is in front of the x^2; so the coefficient is 3.
There is no visible number in front of the y in the second term, but there is a y, so we can assume there's at least 1; so the coefficient is 1.
The term in front of x for the third term is -5, so the coefficient is -5.
Answer:
3 2/3 and -5 are the coffecients
