Answer:
The number of bicycles is 19.
and the number of tricycles is 4.
Step-by-step explanation:
As we know that the number of seats in bicycles as well as in tricycles is 1.
The number of wheels in bicycles is 2
and the number of wheels in tricycles is 3.
Let the number of bicycles be x.
and the number of tricycles be y.
Thus using the given information we can make equation as,
x + y = 23
and, 2x + 3y = 50
Solving these two equations:
We get, x = 19 and y = 4
Thus the number of bicycles is 19.
and the number of tricycles is 4.
Answer:
x = 112
Step-by-step explanation:
We can create two equations 1. one that calculates calories burned and 2.another that calculates minutes:
20*x + 5*y = 1200
x + y = 120
Then we can solve for x
x = 120 - y
then we can plug that into the top equation:
20(120 - y) + 5y = 1200
divide by 5:
4(120 - y) + y = 240
distribute:
480 - 4y + y = 240
and then do all that combining like factors what not and simplify and solve:
480 - 3y = 240
-3y = -240
y = 8
NOW WE CAN JUST PLUG IN THE ANSWER FOR Y TO FIND X
8+x =120
x = 112
Allen's work is not written properly so I have rearranged it as shown below:
Original problem) –8.3 + 9.2 – 4.4 + 3.7.
Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property
Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property
Step 4) −8.3 + 17.3
We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.
Alen should have collect negative numbers together and positive numbers together.
Add the respective numbers then proceed to get the answer.
–8.3 + 9.2 – 4.4 + 3.7
= –8.3 – 4.4 + 9.2 + 3.7
= -12.7 + 12.9
= 0.2
Answer: second option.
Step-by-step explanation:
Given the transformation
→
You must substitute the x-coordinate of the point A (which is
) and the y-coordinate of the point A (which is
) into
to find the x-coordinate and the y-coordinate of the image of the point A.
Therefore, you get that the image of A(2,-1) is the following:
You can observe that this matches with the second option.
Match the mean, median, mode, and range for the data set below. 2, 7, 8, 4, 8, 2, 5, 5, 7, 2
dusya [7]
Answer:
Mean - 5
Median - 5
Mode - 2
Range - 6
Step-by-step explanation:
Mean-
If you add 2 + 7 + 8 + 4 + 8 + 2+ 5+ 5+ 7 +2= 50
50 divided by 10 (the amount of numbers in the equation) = 5 for the mean
Median-
Put the numbers in order which is
2,2,2,4,5,5,7,7,8,8 and the number is the middle is 5
Mode-
The number that repeats the most is 2
Range-
The largest number is 8 and the smallest number is 2 so 8-2=6