You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night, you made a total of $78.50. You sold 87 hot dogs and sodas altogether. You must report to your manager the number of hot dogs and sodas that were sold. How many hot dogs and how many sodas were sold?
Answer:
x= hot dogs
y= soda
Total sold
1 x + 1 y = 87 .............1
2 x 0.50 y = 78.50 .............2
Eliminate y
multiply (1)by -0.50
Multiply (2) by 1.00
-0.50 x -0.50 y = -43.50
2 x + 0.50 y = 78.50
Add the two equations
1 x = 35.00
/ 1
x = 35.00
plug value of x in (1)
1 x + 1 y = 87
35 + y = 87
y = 87 -35
y = 52
y = 52.00
x= 35 hot dogs
y= 52 soda
Step-by-step explanation:
What is the probability when Sue will randomly select from a treat bag containing 6
lollipops and 4 gum balls. Sue will select a treat, NOT REPLACE it, and then select a
second treat. Sue will select a gumball then a lollipop.
Answer:
6/25
Step-by-step explanation:
SOMEONE PLZ HELP ME!!!!!!
Anja claims that Thai challenge can be solved with a single rotation.
Braden says it can be solved with a single reflection
Who is right?
a) Anja
b) Braden
c) Both
d) Neither
Explain.
Plz help!!! ANSWER IF YOU KNOW LOTS OF POINTS!!!!
Answer:
Anja is correct.
Step-by-step explanation:
If you rotate the figure to the left, around the correct vertex, you will land on the after image.
Which of the following statements says that a number is between -5 and 5?
|x| > 5
|x| < 5
|x| = 5
Answer:
I think its
|x| = 5
Step-by-step explanation:
Answer:
|x|<5
Step-by-step explanation:
A car is traveling on a highway at a constant speed, described by the equation d = 70t, where d represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.2 hours?
Answer:
84miles
Step-by-step explanation:
Step one:
given data
we are told that the equation that describes the car's speed is
d = 70t-----------1
From the equation, we can see that the speed with which the car is traveling is 70miles per hour, while we are expected to find the distance d when the time is 1.2 hours.
Required
The distance d at 1.2 hours
Step two:
substituting in the expression we have
d= 70*1.2
d=84miles
what is the GCF of 100 and 20
Answer:
20
Step-by-step explanation:
20 is the greatest factor because:
20*5=100
20*1=20
What is the y-intercept of a line that passes through the points (5, -6.5) and (-12, 2)?
Answer:
y-intercept = -4
Step-by-step explanation:
equation of a line: y=mx+b
two points given are (5, -6.5) and (-12, 2)
first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.
formua to find m: [tex]\frac{2-(-6.5)}{-12-5}[/tex]= -0.5
to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.
if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b
then you just solve for b and it turns out to be -4.
The solution is -4
The y intercept of the line passing through the points
P ( 5 , -6.5 ) and Q ( -12 , 2 ) is -4
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 5 , -6.5 )
Let the second point be Q = Q ( -12 , 2 )
Now , the slope of the line between 2 point is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 + 6.5 ) / ( -12 - 5 )
Slope m = - 8.5 / -17
Slope m = -1/2
Slope m = -0.5
Now , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - ( -6.5 ) = -0.5 ( x - 5 )
On simplifying the equation , we get
y + 6.5 = -0.5x + 2.5
Subtracting 6.5 on both sides of the equation , we get
y = -0.5x - 4
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
Therefore , the y intercept of the line is -4
Hence , the y intercept of the line A is -4
To learn more about equation of line click :
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u
Question 9
1 pts
Find LJ
12
M
6
J
L
K
K
24
0 42
O 36
O 12
O 18
Answer:
18
Step-by-step explanation:
since 24 is the total value of MK, and ML is already 12 of that, you can subtract 12 to get 12. KJ is 6, so we can add that to the 12 we just got to find the total value of LJ. 12 + 6 = 18.
Kevin purchased 5 hamburgers for $1.40 each and 6 sodas for $1.25 each. The tax on his order
was 8%. What was the total cost of Kevin's purchase?
A. $14.50
B. $15.66
C.$22.50
D. $14.58
Answer:
14.50
Step-by-step explanation:
hope this helps
The total cost of Kevin's purchase including tax would be $15.66
Calculating the cost of each item :
Cost of hamburgers = 5 × $1.40 = $7.00
Cost of Sodas = 6 × $1.25 = $7.50
The total cost of Kevin's purchases excluding tax is the sum of the items :
$7.00 + $7.50 = $14.50Tax paid on purchase :
8% × $14.50 = $1.16Therefore, The total amount paid including tax is ($14.50 + $1.16 = 15.66
Learn more : https://brainly.com/question/18796573
I have over 20 pencils in my desk
Answer:
that means you probably have 40 or 30
Step-by-step explanation:
Ms. Williamson woke up one morning to find her basement flooded with water. She called two different plumbers to get their rates. The first plumber charges $36 just to walk in the door plus $28 an hour. The second plumber charges a flat $64 an hour.
a. What is the cost for each plumber if the job takes four hours?
b. How many hours did the first plumber take to do the job if he charged $176?
c. After how many hours will the cost for both plumbers be the same?
Answer:
A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour
B. He did 5 hours
C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.
Step-by-step explanation:
Your welcome
0 is a polynomial. T or F
Answer:
Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
A movie is 2 and a quarter hours long. A family is able to watch 2/6 of the movie before having to leave the theater. How many hours of the movie did the family watch?
Answer:
29 mints OK. O that's v the answer all
Which choices are equivalent to the expression?
I WILL GOVE YOU BRAINIEST IF YOU CAN SOLVE THIS FIR ME PLEASE!! I need this answered rn!
Answer:
X =2 Y= 10
Step-by-step explanation:
EF ~ BC 8/20= 0.4 AB~DE 15*0.4 =6 6-4 = 2
AC~DF 25*0.4 = 10
8x-6y=-24
-48x+6y=144
8x−6y=−24
Step 1: Add 6y to both sides.
8x−6y+6y=−24+6y
8x=6y−24
Step 2: Divide both sides by 8.
[tex]\frac{8x}{8}[/tex] = [tex]\frac{6y-24 }{8}[/tex]
x= [tex]\frac{3}{4} y[/tex] [tex]-3[/tex]
---------------------------------------------------------------------------------------------
−48+6y=144
Step 1: Simplify both sides of the equation.
6y−48=144
Step 2: Add 48 to both sides.
6y−48+48=144+48
6y=192
Step 3: Divide both sides by 6.
[tex]\frac{6y}{6}[/tex] = [tex]\frac{192}{6}[/tex]
y = 32
First to help me with this problem will get marked brainliest!!! :))
Answer:
J
Step-by-step explanation:
8 would multiply with 25 to form 200.
The equation will be formed like this 200=100x after cross multiplying
u then divide by 100 which equals 2, 2 is 25 percent of 8 which makes it the correct answer
pls help me guys I’m on my final
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Hope I was Right
What is Derricka's goal, in miles, for the total distance she will swim on Monday, Tuesday, and Wednesday? Show your work.
Respond in the space provided.
Answer:
there is no backgroung information?
Step-by-step explanation:
Alamo Cola manufactures a soft drink made with 2.5% peach juice concentrate. What is this percent expressed as a fraction and decimal?
A) 1/4 and 0.025
B) 1/4 and 0.0025
C) 1/40 and 0.025
D) 1/400 and 0.0025
i don't know sorry if its wrong please correct me, it looks like c
One winter night, the temperature outside was 10°F. Overnight, the temperature dropped to –2°F.
How many degrees did the temperature drop?
A)12
B)10
C)0
D)2
I will give Brainilest,5 star rating, and a thanks
Vertices Outside of the Circle: There are three angles with vertices outside of the circle that same the same theorem. What is the names of those angles?
Answer:
what do you actually wanna say?
Item 7
Jamie thought she could complete her homework in 2 hours. It actually took her 5 hours. What is the percent error?
Round to the nearest percent.
Answer:
hmmm im not sure ill forward this to someone else.
Step-by-step explanation:
Answer:
wwf
Step-by-step explanation:
fefewsdf
which equation is equivalent to x2+7x+12/ x2-x-12
Answer:here try both of these
x=4
x=3
Step-by-step explanation:
Your club is ordering enrollments gifts engraved with your club logo. Key chains cost $5 each. Wristbands cost $2 each. You have a budget of $150 for the gifts. The equation 5x+2y=150 models the total cost, where x is the number of key chains and y is the number of wristbands.
Missing Part
A) Determine the x and y intercepts
B) Graph in the attached figure
Answer:
x intercept: (30, 0)
y intercept: (0, 75)
Step-by-step explanation:
Given
[tex]5x + 2y = 150[/tex]
Solving (a): The intercepts
To calculate x intercept, we have:
[tex]y = 0[/tex]
Substitute 0 for y in [tex]5x + 2y = 150[/tex]
[tex]5x + 2*0 = 150[/tex]
[tex]5x = 150[/tex]
Solve for x
[tex]x = 150/5[/tex]
[tex]x = 30[/tex]
This implies: (30, 0)
To calculate y intercept, we have:
[tex]x = 0[/tex]
Substitute 0 for x in [tex]5x + 2y = 150[/tex]
[tex]5*0 + 2y = 150[/tex]
[tex]2y = 150[/tex]
Solve for y
[tex]y = 150/2[/tex]
[tex]y = 75[/tex]
This implies: (0, 75)
Solving (b): The graph
The graph will be plotted through: (30, 0) and (0, 75)
Can someone help me on this real quick PLZZZZZZZZZZZzz
Step-by-step explanation:
1)On the table for Yards put 3 and 5. Then put Feet as 6, 12 and 18.
2)On 2 put [tex]\frac{6}{2} \frac{9}{3} \frac{12}{4} \frac{15}{5}[/tex]
Each ratio is equal to 3:1
3)The equation that describes the relationship is x:y
4)The equation that describes the relationship is 3:50
An industrial shipping crate is in the shape of a rectangular prism. The crate is 7 feet shorter than it is wide and 16 feet deeper than it is wide. The volume of the crate is 6,732 cubic feet. What equation represents the volume of the shipping crate?
v=l×w×h
v=3×1.2×4.5
v=16.2
Ms. Salazar’s car averages 25 miles per gallon of gasoline. She filled the 10-gallon tank with gasoline before traveling 200 miles on a trip. Which graph BEST represents this situation?
Step-by-step explanation:
2524 ÷ 23 = 24a6u= 7
bengek hyung
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.
Helen deposited $30 into her account each week for x weeks.
Vince deposited $50 into his account each week for x weeks.
The accounts did not earn interest.
Which inequality represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account?
A.
30x>330+50x
B.
50x 330+30x
I think the answer is 30x+330>50x
Step-by-step explanation:
for the option A it was slightly changed,
cause the $30 was deposited by helen not Vince.
so check that well
Graph the equation y = 22 – 3