A local foundation organized a lunch party for all the kids in the community. They ordered a total of 500 burger meals. They ordered plain burgers at $1.75 each cheeseburgers at $2.50 each, and chicken burgers
at $3.20 each. They ordered mostly cheeseburgers, and 100 fewer chicken burgers than plain burgers. The total order came to $1.172.50.
Define the variables and write a system of equations to represent the
situation.
9514 1404 393
Answer:
x + y + z = 5002.50x +1.75y +3.20z = 1172.500x +y -z = 100Step-by-step explanation:
Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.
We have three relations given. Each can be used to write an equation.
x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered
2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost
0x +y -z = 100 . . . . . . . . . . 100 fewer chicken were ordered than plain
_____
Additional comment
We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.
[tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]
The solution is (x, y, z) = (300, 150, 50).
How are you supposed to graph #14?
Answer:
Y=mx+c
Step-by-step explanation:
The number in front of the x is the gradient. This shows how much the line goes up in the y axis for every square in the x axis. The number after the plus is the y intersect. This is where the line crosses the y axis. Start at the y intersect and draw the line. For this question, the gradient is 2, so the line goes up 2 squares on the y axis for every square on the x axis. The y intersect is 1, so it would cross the y axis at +1 on the y axis
The graph of the exponential function f(x) = 4(0.5)* + 2 is shown.
Answer:
g(x)=0.5(0.8)^x+2
Step-by-step explanation:
Which sequence shows The numbers in order from least to greatest?
(A.) -2/3, 1/2, -3/4
(B.) 1/2, -2/3,-3/4
(C.)-3/4, -2/3, 1/2
(D.)-2/3, -3/4, 1/2
Answer:33 as an answer
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Check Your Understanding HELP ASAP!!!
Answer:
B. [tex]9(\frac{4}{5} * \frac{1}{3})[/tex]
Step-by-step explanation:
In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
As the associate property is switching the numbers in the parentheses, B is the answer as it switched the [tex]\frac{1}{3} and \frac{4}{5}[/tex] while keeping the equation the same, and not editing any information that would change the outcome (answer) of the problem.
WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four
Answer:
[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]
Can I get help on 1,2 and 5?
Answer:
Question 1: [tex]x=4[/tex]
Question 2: [tex]x= \pm7[/tex]
Question 5: The dimensions of one face of the container are 6 by 6 inches.
Step-by-step explanation:
Hi there!
Question 1
[tex]x^3=64[/tex]
Rewrite 64 as a power of 3:
[tex]x^3=4^3[/tex]
(We could find that 4³ = 64 through trial and error)
This above equation makes it true that x=4. If aⁿ = bⁿ, then a=b:
[tex]x=4[/tex]
Question 2
[tex]x^2=49[/tex]
Rewrite 49 as a power of 2:
[tex]x^2=7^2[/tex]
Again, we could have found this through trial and error, or by looking at our multiplication tables.
[tex]x=7[/tex]
However, remember that positive and negative numbers will all square to be a positive number. So, therefore, x can be -7 OR 7 (since both, when squared, equal 49):
[tex]x= \pm7[/tex]
Question 5
Let x be equal to the length of one edge of the cube.
Volume of a cube formula: [tex]V=x^3[/tex]
Plug in the given information, when V is the volume:
[tex]216=x^3[/tex]
Rewrite 216 as a power of 3:
[tex]6^3=x^3[/tex]
^ We could have found this through trial and error.
[tex]x=6[/tex]
Therefore, the dimensions of one face of the container are 6 by 6 inches.
I hope this helps!
What is the value of t?
t−122=3t2−3
i need it asap
Answer:
t+3t=2-3+122
4t=121
divide both sides by four
4t/4=121/4
t=3.25
Answer:
t = 30.5
Step-by-step explanation:
t-122=[tex]\frac{3t}{2-3}[/tex]
t-122=-3t (2-3=-1, so divide by -1 to get -3t)
4t=122
t=[tex]\frac{122}{4}[/tex]
t=30.5
It costs $45 for a flower arrangement and $.30 per mile for delivery. If the total cost came to $49.80, how many miles were the flowers delivered?
Set up an equation to solve for the number of miles driven.
Round 38,451 to the nearest..
Ten thousand:
Thousand:
Hundred:
Ren:
Answer:
Ten Thousand: 40000
Thousand: 38000
Hundred: 38500
Ren: what is ren-?
Step-by-step explanation:
Which step is not part of the 5-point credit card debt elimination plan?
a.
calculate how much money you earn each month
b.
list all of your current credit cards
c.
add up all the amounts you have in the minimum payment column
d.
pay only the minimum amount on all credit cards
Answer:
b.list all of your current credit cards
Step-by-step explanation:
Help with this question please
Answer:10
Step-by-step explanation:
solve for b: a= a+b+c/3
Does the point (13, –5) lie on the line y = 8 – x? Show your workings.
Answer:
well is there a picture ? so i can see if it does or doesnt
Step-by-step explanation:
Pls help, will give brainliest
Answer:
see image
Step-by-step explanation:
Hope this is clear enough, if not feel free to ask me any questions.
PLEASE EXPLAIN YOUR REASONING!!
If a loan is $2,000.00 at 12 percent annual interest and the loan was made on June 15 and due on December 15, what is the ordinary interest?
A. $72.00
B. $24.00
C. $120.00
D. $240.00
Answer:
$120.00
Step-by-step explanation:
2000/100 = $20 = 1%
20x12 = $240 = annual intrest = 12m
June 15 - December 15 = 6m
240/2 = $120 for half a year intrest!
Answer:
$120.00
Step-by-step explanation:
Help please thank you so much!
Answer:
4g + 5h
------------
x
Step-by-step explanation:
Pls help what is 46743356644 x 5545445555
Answer: 52.288.802.199
solve 4x^3 + 10 when x = -3
Answer:
[tex]4 \times {( - 3)}^{3} + 10 = 4 \times ( - 27) + 10 = - 108 + 10 = - 98[/tex]
Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?
Answer:
173.5
Step-by-step explanation:
The answer is 173.5
To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below
[tex]86/4=21.5[/tex]
Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below
[tex]9x21.5=173.5[/tex]
Thus, that is how much money Lin will be paid after 9 hours of work.
Hope this Helps!
0
help pls!
-----------
Step-by-step explanation:
option E is your correct answer.
hope this helps you.
What does the point (0, 0) on this proportional relationship graph represent in terms of the experiment?
Answer:
The point (0, 0) shows that if no weight is attached to the spring, the spring will not stretch.
or
there was no weight added to the spring
Step-by-step explanation:
A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 3 days, how many whole miles can he drive on a $ 250 budget?
Answer:222.38
Step-by-step explanation:26.95x0.28 x3
Answer:
604 miles
Step-by-step explanation:
he has to pay 80.85 for 3 days (26.95 x 3)
250 - 80.85 = 169.15 (money left)
169.15 ÷ 0.28 = 604 (with many decimals)
604 whole miles
h(x)=-x-1h(x)=−x−1, find h(-2)h(−2)
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given function :
[tex]h(x) = - x - 1[/tex]we have to find h(-2) :
[tex]h( - 2) = - ( - 2) - 1[/tex][tex]h( - 2) = 2 - 1[/tex][tex]h ( - 2) = 1[/tex]What is the value of the expression 11 + (fraction 1 over 2)4 ⋅ 48?
Hello!
Answer:
107
Step-by-step explanation:
Hope this helps
Answer:
17
Step-by-step explanation:
d
David begins the summer with a savings of $54.00 more than Fatima. David's job pays $8.25 per hour. Fatima's job pays $9.75. If they both work the same amount of time each day, how many hours of work will it take David to have as much money as Fatima? (write an inequality and then solve it)
Answer:
Inequality: 8.25x + 54 = 9.75
Step-by-step explanation:
Why?
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
While Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
The like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Therefore, it’ll take 36 hours for David to have as much as Fatima.
Answer:
36 hours
Step-by-step explanation:
stay great peepz!
-TinyDiamond
Solve the equation. ( − 7 ) ( − 5 ) =
Answer:
35
Step-by-step explanation:
brackets symbolise multiplication,which means you have to multiply the numbers in both brackets by each other including their signs.
a negative multiplied by a negative is a positive and 7×5 is 35
therefore
-7×-5=35
I hope this helps
pls and ty loves!:))))))))))
Answer:
[tex]f = 9 \div 5c + 32[/tex]
[tex]f - 32 = 9 \div 5c[/tex]
[tex]5(f - 32) = 9c[/tex]
[tex]5(f - 32) \div 9= 9c \div 9[/tex]
Step-by-step explanation:
C = 5(F–32)/9
everything can be found in the solving hope this helps. if you have any worries or doubts don't hesitate to ask me back
Answer:C
Step-by-step explanation:
F=9/5 x C +32
F = -32 =9/5 x C
5/9 (F-32)+C
A chess club 20 with members is electing a new president. Lashonda received 8 votes. What percentage of the club members voted for Lashonda?
Answer:
Lashonda is not popular. She only received 40% of the votes.
Step-by-step explanation:
8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.
will give brainliest
Answer:
the answer isA
Step-by-step explanation:
3x+1+x²-6
=3x-5+x²
=x²+3x-5
Answer:
A
Step-by-step explanation: