the slope is -14/6 or the simplified version is -7/3
Bob purchased 2 hot dogs and 1 hamburger for S10. Later that day, Bob had to purchase more food and
Bot 1 hot dog and 3 hamburgers for S15. What were the prices of the hamburger and hot dogs?
Answer:
Hotdog: $3.00
Hamburger: $4.00
Step-by-step explanation:
For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:
x = cost of a hotdog
y = cost of a hamburger
He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:
2x + y = 10
For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:
x + 3y = 15
To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.
Using the second equation, we can solve for x by simply subtracting 3y from both sides:
x = 15 - 3y
We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:
2(15-3y) + y = 10
Distribute out the 2 into the paratheses, combine like terms, and then solve for y:
30 - 6y + y = 10
30 - 5y = 10
-5y = -20
y = 4
This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:
x = 15 - 3y
x = 15 - 3(4)
x = 15 - 12
x = 3
So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.
1/3(x+6)=2/3(x-9)
multi step equation
[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]
what is 3 1/3 - 1 1/2
Answer:1.833333
Step-by-step explanation:
I need the answer asap and the demonstration please
Answer:
4
Step-by-step explanation:
Use system of equations to solve for x.
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = –4 to x = 0.
A) None of these
B) B
C) a and b
D) c
Answer:
c
Step-by-step explanation:
Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b
Answer:
See image.
Step-by-step explanation:
"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)
On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.
A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why?
When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.
The middle 99.7% is within 60 seconds to 63 seconds.
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
mean (μ) = 60 seconds, standard deviation (σ) = 1 second
99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)
The middle 99.7% is within 60 seconds to 63 seconds.
Find out more at: https://brainly.com/question/4518679
Find the values of x and y
Answer:
x = 25, y = 19
Step-by-step explanation:
The external angle is supplementary to the adjacent internal angle.
2x +130 = 180
2x = 50 . . . . . . . subtract 130
x = 25 . . . . . . . divide by 2
__
The external angle is equal to the sum of the remote internal angles.
130 = 54 +4y
76 = 4y . . . . . . . subtract 54
19 = y . . . . . . . divide by 4
If I take 1 hour to cook a batch of cookies and I have 15 ovens working 24 hours a day every day for 5 years, how long does it take me to make 6000000 batches of cookies?
Answer:
Approximately 40,069 days
How Much Percentage is 7 out of 45.99?
Answer: 0.152207 %
Step-by-step explanation: divide the amount by the total to get the percentage.
Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain
6 grade shiiii, help me out doe, thanks luvs <33.
Answer:
Monica is not correct.
Step-by-step explanation:
First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)
A student missed 15 problems on a mathematics test and received a grade of 80%. If all the problems were of equal value, how many problems were on the test?
Answer:
75 problems
Step-by-step explanation:
Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:
(x-15)/x = 0.80
x-15 = 0.80x
-15 = -0.20x
75 = x
Therefore, there were 75 problems on the test
12
The solution to the system of equations below
is (x,y).
3x+y=13
2x - 4y = 18
What is the value of x?
A store owner has a total of 87.95 lbs of
flour. If she puts the same amount of flour in
7 jars, how many pounds of flour will each
jar contain?
Answer:
12.56
Step-by-step explanation:
87.95 divided by 7
Step-by-step explanation:
Total amount of flour = 87.95lbs
Amount of flour in each jar = 87.95 ÷ 7 = 12.56
A group hiked 3 7/10 miles on the Blue Trail and then 4 3/4 miles on the White Trail. What is the total distance the group hiked?
Answer:
8 9/20
Step-by-step explanation:
Just add them which would give you 169/20 and then simplify it which would be 8 9/20.
A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
(a) Calculate the capacity in liters, of the tank.
(b) If gasoline cost $154 per liter, what is the cost of filling the tank?
Answer:
$4851
Step-by-step explanation:
rectangular prism volume = length x width x height
1 litre = 1000 cm³
cost = $per litre x litres
v = l x w x h
30cm x 25cm x 42cm = 31500cm³
litres = cm³ / 1000
31500cm³ / 1000 = 31.5 litres
31.5 x $154 = $4851
Simplify the expression.
−10−3
Answer:
-13
Step-by-step explanation:
find all complex solutions of 13x^2-5x+1=0
btw it doesn’t let me do the +- sign
Answer:
Step-by-step explanation:
You can make it by using division +/-. The keystrokes are
+
/
-
a = 13
b = -5
c = 1
x = [-(-5) +/- sqrt( (-5)^2 - 4*13*1) )] / 2
x = [ 5 +/- sqrt( 25 - 52) ] / 2
x = [ 5 +/- sqrt(-27)]/2
x = [5 +/- 3 sqrt(3)i ] / 2
x = 5/2 +/- 3/2 * sqrt(3) i
So x1 = 2.5 + 1.5 sqrt(3)i or
x2 = 2.5 - 1.5 sqrt(3)i
The solution is -1/2.
Which multiplication equation has the given solution?
Answer:
5x=-(5/2) ~~ first choice
Step-by-step explanation:
divide both sides by 5
-> x=(5/2)/5
simplify the above
-> x = - (5/2x5)
simplify
-> x = -(5/10)
simplify and solve
=> x = - 1/2
(basically trial and error)
Layla borrowed some money from her friend in order to help buy a new video game
system. Layla agreed to pay the friend back some amount every week until her loan
was paid off. Let L represent the amount Layla owes her friend after t weeks. A graph
of L is shown below. Write an equation for I then state the y-intercept of the graph
and determine its interpretation in the context of the problem.
The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let L represent the amount Layla owes her friend after t weeks.
Using the point from the graph (0, 140) and (7, 0):
L - 140 = [(0 - 140)/(7 - 0)](t - 0)
L - 140 = -20t
L = -20t + 140
The y intercept is 140
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
CAN SOMEONE ANSWER THIS!!!!!!!!
Answer:
Step-by-step explanation:
2 now help me :(
CAN YOU PLS HELP MEEEE
Answer:
10x - 2y
Step-by-step explanation:
simplify the expression.
8x–2y + x + x
combine numbers that have the same variables
8x + x + x
*those x have 1 coefficient each.
it will be 8x+1x+1x = 10x then –2y
10x–2y.
Hope it helps :)
plssss help, need major help with the second question // 25 points
Answer:
22
Step-by-step explanation:
9 + 8 + 14 = 22
I hope this helps!
please help ill mark brainliest
Answer:
I think its A ratio reduced, since a scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.
Answer:
It isn't either of the first two. My best guess would be the units of a ratio, (sorry if it's actually a ratio reduced). It's worded very weirdly
Please help with this question
Answer:
D
Step-by-step explanation:
The first equation would have to have a y-intercept of 4, and the second equation would have to have a y-intercept of -1.
-hope it helps
Answer: what the actual fudge is this?? i am a former harvard professer for math and I have never seen such a monstrocity of a math question, but the answer is the first one.
Step-by-step explanation:
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Yes because if you do 19.99 times 6 you get 119.94
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (0- -3)/(5- -4)
m = 3/9 = 1/3
When a guy says i cheated just to let the world know what does it mean?
Answer ASAP
Answer:
He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.
Answer:
it means that he was dating another person while already dating
Step-by-step explanation:
it like when ur dating 2 people at one time without the other person knowing
Frederico's checking account balance is -$15, and Neela's checking account balance is -$285. How many times the balance of Frederico's checking account is Neela's checking account balance? A. -19 B. -270 C. 270 D. 19
Answer:
2
Step-by-step explanation:
the answer is 2 because I need points for my brainly so I can get a 100 on this assignment
BRAINIEST IF CORRECT
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
V12
Answer:
The side of an equilateral triangle equals:
2 * height / sqr root (3)
side = 2 * sqr root (12) / sqr root (3)
side = 2 * 2 * sqr root (3) / sqr root (3)
side x = 4
Step-by-step explanation:
