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).
joes grandmother is suffering from fever from many days.he wants to go to his hometown Southampton to see his grandmother.His house is 325 km away from oxford.he covered 1/5th of his journey by bus.227.5km by train.16.25km by taxi and rest on foot.now give ans for the following questions; how much distance did he covered by bus.what fraction of total journey covered by train. How much distance he covered on foot? how much is the difference in distance covered by train and covered by bus?
The distance that will be covered by the bus will be 65km.
Since his house is 325 km away from Oxford and he covered 1/5th of his journey by bus. Then, the distance that's covered by bus will be:
= 1/5 × 325km
= 65 km.
Since 227.5km is covered by train, then the distance covered by train will be: = 227.5/325 = 7/10
The distance covered by foot will be:
= 325 - (65 + 227.5 + 16.25)
= 325km - 308.75km
= 16.25km
The difference in distance covered by train and covered by bus will be:
= 227.5km - 65km
= 162.5km
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i need help. i am so confused
Answer:
a/2=3
We simplify the equation to the form, which is simple to understand
a/2=3
We move all terms containing a to the left and all other terms to the right.
+ 0.5a=+3
We simplify left and right side of the equation.
+ 0.5a=+3
We divide both sides of the equation by 0.5 to get a.
a=6
The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute, how many revolutions per minute will a gear that has 30 teeth make?
I give Brainliest! Please show work too.
Answer:
80
Step-by-step explanation:
23 What is the solution to this equation?
2x + 3 = x - 4
Answer:
x = -7
Step-by-step explanation:
2x + 3 = x - 4
~Subtract 3 to both sides
2x = x - 7
~Subtract x to both sides
x = -7
Best of Luck!
Answer:
Hello!!
Solving for the equation [tex]2x+3=x-4[/tex] ... the correct answer would be
[tex]x=-7[/tex]
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolate the variable
Hope this helps!!
-1/4 + (-2/7)
Get the sum of the problem
Answer:
-0.53571428571
Step-by-step explanation:
HELP ME PLEASEEE UGHHHH
What is the slope of this line?
The slope of horizontal lines is zero because they are straight with no curve.
The slope is calculates using the rise over the run.
Rise= How many units we move up. Here we move 0 units.
Whatever the run is (NOT 0) if we divide 0 by the run, we will get 0.
Diagonal lines always have slope.
Hope it helps!
#HaveAnAmazingDay
Seventeen lines drawn in a plane, with no three concurrent and no two parallel, divide the plane into
closed regions (bounded on all sides) and open regions. The number of closed regions is
Answer:
120
Step-by-step explanation:
Make a chart:
Lines: 0 1 2 3 4 5 6
Closed regions: 0 0 0 1 3 6 10
Find the number of numbers using the formula:
[tex]\frac{first term + last term}{2}[/tex] x 14 = [tex]\frac{2 + 15}{2}[/tex] x 14
= 8.5 x 14
= 119
119 + 1 = 120
(add 1 because we didn't count the first line in the formula)
I hope this helps :)
The total number of closed regions is 120.
Given that,
Seventeen lines are drawn in a plane, with no three concurrent and no two parallel, dividing the plane into closed regions (bounded on all sides) and open regions.
Used the formula to calculate the number of closed regions with n sides is,
Number of sides = (n - 1) (n - 2) / 2
Here, n = 17
Hence, The number of closed regions is,
Number of sides = (n - 1) (n - 2) / 2
Number of sides = (17 - 1) (17 - 2) / 2
Number of sides = 16 × 15 / 2
Number of sides = 120
To learn more about closed regions, follow the link.
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#SPJ3
0.9x+20=830 Solve for X
Answer:
X = 900
Step-by-step explanation:
0.9x = 830 - 20
0.9x = 810
x = 900
Find the slope of the line that passes through (6, 10) and (4, 3).
Answer:
7/2
Step-by-step explanation:
1. To find the slope given two points, you can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] (by plugging in corresponding values and simplifying) and then find it!
2. (Solving)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] [tex]\frac{(3)-(10)}{(4)-(6)}[/tex] [tex]\frac{-7}{-2}[/tex] [tex]\frac{7}{2}[/tex]Therefore, the slope of the line is 7/2.
please help im begging you, brainliest to correct answer!!!
(zoomed in equation on slide 2)
guy pls help me!!!!!
Answer:
x=166 (alt angles, m//n)
x = 166°
good luck !!!! :)
Can somebody please help with this question
Answer:
1.4641
Step-by-step explanation:
But do u ask about the square root ? or the number squared to get 1.21?
To pay for his art supplies, Travis makes hand-painted skateboards to sell online. He paints 2
skateboards every 7 days.
Complete the table
Answer:
14 days for 4 and 28 days for 8 and 42 for 12
Step-by-step explanation:
dobbke them to get your answer
Answer:
PLEASE ANSWER MY QUESTION AS WELL :)
HERE R UR ANSWER:
Day 2 = 14
Skateborads painted:
Day 3: 28 = 8
Day 4: 42 = 12
Step-by-step explanation:
what is (x-3)(3x-5) can you help
Hello!
Answer:
3x^2-14x+15
Step-by-step explanation:
Hope this helps!
answer po plss plss pls
Answer:
Actually it seems like there is an error (in my opinion)
Step-by-step explanation:
The first option shows Distributive property which cannot be categorised as associative property.
The third option seems right as associative property however on the R.H.S there is a 9, which is unneeded. So, the answer is a and c.
5. Mr. Maldonado has 874 dodgeballs in the gym. 537 balls are blue, and the rest are green. How many of the dodgeballs are green? Answer Statement Equation and Strip Diagram: Strategy and Solution:
Which unit would you use to measure the amount of water in a swimming pool?
cm
o mi
OL
6 kg
2
Worth 30 points! Need answer fast! Thank you, correct answer will get brainliest!
Which is the coordinate of point A?
(8, –6)
(–6, 8)
(6, –8)
(–8, –6)
Answer:
Option A is your definite answer.
Step-by-step explanation:
We know that the x coordinate is positive since it is on the positive half of the x-axis. We also can identify that the point A is in the 4th Quarter of the grid, so the y coordinate is negative.
The only choice that proves this reasoning true is option A :)
Hope this helps! Mark me brainliest.
Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make
A: 10 pillows
B: 6 pillows
C: 5 pillows
D: 3 pillows
Answer:
A: 10 pillows
Step-by-step explanation:
Conventional way:
Turn 6 into 6/1.
6/1 ÷ 3/5
Answer: 10
-kiniwih426
Jalen made $533.75 while working at his job. He makes $15.25 an hour, how many hours did he work to make that amount of money?
Answer:
35 hours
Step-by-step explanation:
Typically, people get their paycheck after 2 weeks.
Let say he worked 8 hours a day, a typical amount of hours for the average human who has a occupation.
Multiply the amount of hours by the amount payed every hour.
So 15.25 x 8 is 122
( so in 8 hours jalen made $122)
Add 8 hours, which would now be 16 hours worked.
16 x 15.25 = 244
(so in 16 hours jalen made $244)
Add another 8 hours of work time which would now be 24 hours (1 full day)
24x5.25=366
Add 10 hours on now which would be 34 hours worked (2 days = 48 hours meaning she worked 1 day and 10 hours )
34x15.25=518.50
(getting closer to the amount she earned)
So if we add another hour
which would be 35 hours worked (1 day 11 hours)
35 x 15.25 = 533.75
Therefore, Jalen worked 35 hours.
Which statement about the solving process when an equation has no solution or infinite solutions is TRUE?
The variable will always end up on the left-hand side of the equation.
O Collecting the like terms will result in the elimination of the variable.
Gathering the like constant terms will always result in the value 0.
The constant terms will always be a multiple of 3.
Answer:
The constant terms will always be a multiple of 3.
Step-by-step explanation:
it is 0
What is the value of 2(-8) (- 5) + 12
leo writes the incorrect equation below. how can leo change the equation to make it true
ummmm where is equation
my own
2x = 9 and x = 3
it shld be 3x instead of 2x
Question 5
Which expression is equivalent to the expression shown?
3² x 34
Answer:
306
Step-by-step explanation:
3x3=9
9x34=306
hope it helps
on top of a monthly charge, averys cellphone company adds a fee for each text message snet. averys june bill was 50.79 which covered 104 text messages. the bill for may, which covered 83 text messages was only 46.59
The price for the text message that is charged by the cellphone company will be $0.2.
Let the fixed monthly charge be mLet the fee for each text be n.Based on the above, the equation to represent the information given will be:
m + 104n = 50.79 ....... equation i
m + 83n = 46.59 ......... equation ii
Subtract equation ii from i
21n = $4.2
Divide both side by 21
21n/21 = $4.2/21
n = $0.2
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Evaluate (m^4 + 5)−n^3 if m=−2 and n=−4 .
Answer:
85
Step-by-step explanation:
m = -2 and n = -4, Plug in:
(m^4 + 5) - n^3
( (-2)^4 + 5 ) - (-4)^3
( 16 + 5 ) - (-64)
21 + 64
85
Three cars are for sale.
Car A
£14240
Car B
£15870
Car C
£11 690
The price of each car is rounded to the nearest £100.
Which price changes by the greatest amount?
You must show your working.
+
+
Answer:
car B
Step-by-step explanation:
i used my brain
What are the values of x and y?
Answer:
D should be correct
Step-by-step explanation:
Lets create an equation.
7x + 1 + 4x - 8 + 120 + 12y = 360
We will now try all options to see which one fits perfectly.
----------------------------------------------------------------------------------
A) x = 3, y = 10
7(3) + 1 + 4(3) - 8 + 120 + 12(10) = 360
=> 21 + 1 + 12 - 8 + 120 + 120 = 360
=> 266 ≠ 360 (False)
----------------------------------------------------------------------------------
B) x = 1, y = 12
7(1) + 1 + 4(1) - 8 + 120 + 12(12) = 360
=> 7 + 1 + 4 - 8 + 120 + 144 = 360
=> 268 ≠ 360 (False)
----------------------------------------------------------------------------------
C) x = 32, y = 10
7(32) + 1 + 4(32) - 8 + 120 + 12(10) = 360
=> 224 + 1 + 128 - 8 + 120 + 120 = 360
=> 585 ≠ 360 (False)
----------------------------------------------------------------------------------
D) x = 17, y = 5
7(17) + 1 + 4(17) - 8 + 120 + 12(5) = 360
=> 119 + 1 + 68 - 8 + 120 + 60 = 360
=> 360 = 360 (True)
----------------------------------------------------------------------------------
Kind requests:
Please give me brainliest :)
Steve ate x pounds of candy. Jen ate 37 more than Steve. Choose the equation that represents the situation where the amount of candy Steve ate is represented by x and the amount of candy Jen ate is represented by y.
Answer:
y = x + 37
Step-by-step explanation:
Representation:
Amount Steve ate: x
Amount Katie ate: y
If Katie ate 37 pounds more than Steve, then y = x + 37