Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?
What would be a system of equations for the scenario above?
Answer:
15 hamburgers were sold and 30 hotdogs were sold.
The systems of equations are x + y = 45 and 4x + 5y = 195.
Step-by-step explanation:
Let's make two equations.
x + y = 45
This represents the total of hotdogs and hamburgers sold
4x + 5y = 195
This represents the amount of money made for each food.
These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.
Let's multiply -5 to both x and y.
Now we have -5x -5y = -225 + 4x + 5y= 195
We will end up with -x = -30. This means that x = 30.
Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.
Solve for y in 30 + y = 45, so y=15.
This means 15 hamburgers were sold and 30 hotdogs were sold.
Horses A veterinarian measures a horse to be 7.5
ft tall at the shoulder to the nearest half foot. What
are the minimum and maximum possible heights of
the horse?
Answer:
Minimum height is 7.25ft and maximum height is 7.75ft
Step-by-step explanation:
You measured to the nearest half foot, so the greatest possible error is 0.25 foot.
Minimum height= measured value-possible error= 7.5-0.25= 7.25ft
Maximum height= measured value+possible error= 7.5+0.25= 7.75ft
Morton sees these stickers at a craft store. What is the ratio of clouds to suns ☁️☀️☁️☁️☀️
Answer:
3:2
Step-by-step explanation:
3 clouds, 2 suns
Answer: 3:2
Step-by-step explanation:
there are three clouds to two suns
The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).
Putting (-1, -11) in given equation, we get :
-11 = a + -b + c ....1)
Similarly putting (1, −5) and (2, −8) we get :
-5 = a + b + c ....2)
-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :
2( a + c ) = -6
a + c = -3
Solving equation 1 , 2 and 3 ,we get :
a = -2 , b = 3 , c = -6
Therefore, equation of parabola is :
y = -2x² + 3x -6
Hence, this is the required solution.
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
a) If x is not a whole number, then x ≠ 5.
b) If x = 5, then x is a whole number.
c) If x ≠ 5, then x is not a whole number.
d) If x is not a whole number, then x = 5.
Answer:
It's a
Step-by-step explanation:
Because inverse means opposite so they are asking for the opposite of the statement "If x is a whole number, then x = 5”
Hope this helped ✨
If x is not a whole number, then x ≠ 5 is inverse of the statement if x is a whole number, then x = 5
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given statement is "If x is a whole number, then x = 5". To find its inverse, we need to switch the hypothesis and the conclusion, and negate both parts of the statement.
The hypothesis is "x is a whole number", and its negation is "x is not a whole number".
The conclusion is "x = 5", and its negation is "x ≠ 5".
So, the inverse of the given statement is:
"If x is not a whole number, then x ≠ 5."
Therefore, if x is not a whole number, then x ≠ 5 is correct answer.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
Evaluate the expression 5x4+2x6
Answer:
The answer to this is: 132
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Hope this helps!!
Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?
Kadyn took 8 rest stops.
Step-by-step explanation:
22 x 8 = 176
Answer: The answer is 8
what is an equation of the line that is parallel to y=-5+6 and passes through the poing (-4,-1)
Answer:
y=5x+19
Step-by-step explanation:
y+1=-5(x+4)
y+1=-5x-20
Subtract 1 (like terms)
y=-5x-21
Which expression is equivalent to (fa)(5)?
Answer:
ylyiky lio
Step-by-step explanation:
Logan is solving this problem:
The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?
Logan solves the problem by writing:
d = r t. d = 70.05 miles.
What is wrong with Logan’s work?
A.) Logan used the wrong formula. He should have used A = bh.
B.) Logan did not use parentheses when substituting, and he did not multiply the numbers.
C.) Logan's work is correct.
D.) Logan labeled his answer incorrectly. The correct label is feet.
Answer:
Logan did not use parentheses when substituting, and he did not multiply the numbers.
Step-by-step explanation:
took the assignment, it was correct.
Answer:
B
Step-by-step explanation:
A box of 151515 cookies costs \$9$9dollar sign, 9.
What is the cost for 111 cookie?
Answer:
what they said
Step-by-step explanation:
cause i said so
Answer:
its 0.6
its really is :>>>>>>>
Find the slope given the following two points: (16,3) and (14, -19)
Answer:
the slope m=11
Step-by-step explanation:
(To find the slope use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex])
(16,3), where 16=x1 and 3=y1
(14,-19), where 14=x2 and -19=y2
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
=[tex]\frac{-19-3}{14-16}[/tex]
=[tex]\frac{-22}{-2}[/tex]
(simplify)
=11
three out of four students in school have a least one sibling. If there are 300 students in your school, how many would have a least one sibling
25 I think.... I am sorry if its wrong
1/8 as a decimal show how to do it
Answer:
0.125
Step-by-step explanation:
1/8 is the same as 1 ÷ 8
1 ÷ 8 = 0.125
I hope this helped!
Answer:
0.125
Step-by-step explanation:
how i do it it to multiply 125 by 8 that equals 1000. now, every 125 is 1/8 so there is your answer
The area of a square sports arena is 10,000 m² what are the dimensions of the sports arena on the map.
Answer:
Step-by-step explanation:10,000square you have to multiply them my all squares to get the answer
Solve 6y + 2x = 14 for x.
Answer:
x = 7 - 3y
Step-by-step explanation:
6y + 2x = 14 (divide all by two)
3y + x = 7 (move 3y to the right to isolate x)
x = 7 - 3y
Answer:
7-3y=x
Step-by-step explanation:
6y+2x=14
2x=14-6y >>> isolate x variable
x=7-3y >>> simplify because everything is divisible by 2
Solve equation:7t-48=113
Answer:
The answer is 23
Answer:
t = 23
Step-by-step explanation:
Evaluate [4+(15+3)÷9]×7
Answer:
Evaluate [4+(15+3)÷9]×7 equals 42
Step-by-step explanation:
Combine like terms.
y+6 - 2 – 4y^3– 5y + 2y^3 – 2y^3
Answer: −4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Collect like terms.
([tex]y[/tex] − 5[tex]y[/tex]) + (6 − 2) + (−4[tex]y^{3}[/tex] + 2[tex]y^{3}[/tex] − 2[tex]y^{3}[/tex])
Step 2: Simplify.
−4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]
~I hope I helped you! :)~
A rectangle or plot of land has an area of 8/3 square miles and a length of 3/5 of a male What is the width of the plot of land in Miles?
Rewrite the range of each company’s wireless access devices in feet using scientific notation. (5,280 feet =1 mile)
Answer: in pics it’s the answer key
Step-by-step explanation:
write a decimal number
ral for 3/5
Answer:
0.6 or 0.60
Step-by-step explanation:
3/5 mulitply denominator to see how much it goes to 100 which is 20 so 5x20 which is 100 and u go to other number u get 60 so 60/100 or you can just divide 3 by 5 which is also 0.6
Hi - hi = x
(x) - hi + no = y
(y) x (x) =?
If you can solve this you get brainliest.
Answer:pi=72628
Step-by-step explanation:
Answer:
hi=bye
Step-by-step explanation:
an expression equivalent to –8(2s–5)–4
Answer:
The answer:-16s+40-4
Answer:
-4 x (4s - 9)
Step-by-step explanation:
Robert and Dora need to write 4,300,000,000 using scientific notation. Robert claims that 4,300,000,000 = 4.3 x 108 and Dora claims that 4,300,000,000 = 4.3 x 109. Which of the following best describes whose number is correct and the reason it is correct?
Answer:
Robert is correct
Step-by-step explanation:
we know in scientific notation a positive number goes to the right and if we do 4.3 and we go back the spaces it would be nine spaces so it would be 4.3 X 109
The United
States Mint released five state quarters
every year. There are 50 states. How many
years did it take for all 50 state quarters to
be released? Write and solve an equation.
Answer:
I found a link where this question was asked before with some helpful answers, here you go hope this helps! :)
https://brainly.com/question/1757751
A solid right pyramid has a square base. The base
edge length is 2 cm longer than the height of the
pyramid.
If the height is 6 cm, what is the volume of the
pyramid?
20 m3
Answer:
128 cm^3
Step-by-step explanation:
Find the value of x.
Answer:
x=24
Step-by-step explanation:
The straight line is 180 degrees so 180-35=145.
Than do 145=6x+1 and find x
144=6x
144/6=24
x=24
Answer:
x=24
Step-by-step explanation:
180-35=145
6x+1=145
6x=144
x=24
Solve for x. 25 + 15x = 0
Answer:
x=−
3
5
=−1.667
Step-by-step explanation:
Answer:
[tex]\sf x=-\frac{5}{3}[/tex]Step-by-step explanation:
[tex]\sf 25 + 15x = 0[/tex]
[tex]\sf 25+15x-25=0-25[/tex]
[tex]\sf 15x=-25[/tex]
[tex]\sf \frac{15x}{15}=\frac{-25}{15}[/tex]
[tex]\sf x=-\frac{5}{3}[/tex]
what is the area of this figure
Answer:
a = 83 inches
Step-by-step explanation:
5 * 11 = 55
7 * 4 = 28
55 + 28 = 83