Answer:
Both of them work
Step-by-step explanation:
by multiplying the first equation by 2 it creates the same coefficient in front of "p" for both equations. same for the second equation and "q".
Both strategies works since we can easily eliminate a variable from both equations.
Given the simultaneous equation solved by Tyler
4p + 2q = 62
8p - q = 59
In order for him to eliminate a variable to solve the system of equations, he must ensure that the coeffiecient of the variable to be eliminated are equations in both expressions. To do that;
Multiply 4p + 2g = 62 by 2, then subtract 8p - q= 59 from the result. This will give;8p + 4g = 124
8p - q = 59
Subtract
4q + q = 124 + 59
5q = 183
The second required strategy is to Multiply 8p-q=59 by 2, then add the result to 4p + 2q = 62, to have:
16p-2q=118
4p + 2q = 62
Adding up
16p + 4p = 118 + 62
20p = 180
p = 9
We can see that both strategies works since we can easily eliminate a variable from both equations.
Learn more here: https://brainly.com/question/15165519
REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even integers that have a sum of 54. The three consecutive even integers, in order from least to greatest, are , , and . Explain your reasoning. Expressions for the next two consecutive even integers after $2n$ are and . Solving the equation $=54$ , and substituting the solution into the expressions for the three integers results in the three integers given above.
Answer:
First Integer = 16
Second Integer = 18
Third integer = 20
Step-by-step explanation:
An even integer is represented by 2n
Where n is any integer
Let :
First Integer = 2n - 2
Second Integer = 2n
Third integer = 2n + 2
The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2
= 2n + 2n + 2n - 2 + 2 = 54
= 6n = 54
n = 54/6
n = 9
First Integer = 2n - 2 = 2(9) - 2
= 16
Second Integer = 2n = 2(9)
= 18
Third integer = 2n + 2 = 2(9) + 2
= 20
Carl is a biologist studying different types of mammals. He finds that in one valley there are 15 plant-eating mammals for every 2 meat-eating mammles. The total population of mammles in the valley is about 2,900. Which number is the best estimate of the population of meat-eating mammals in the valley.
* 170
* 340
*1,450
* 2,560
Answer:
170
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!!
12-3.89
please show work it’s for a test.
Answer:
8.11
Step-by-step explanation:
12-3=9
9-0.8= 8.2
8.2=8.20
8.20-9=8.11
Answer:
8.11
Step-by-step explanation:
12.00
- 3.89
--------------
8.11
how can you find the y-intercept in a table
Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.
Step-by-step explanation:
On which number line are -3 and its opposite shown?
-10
-9
8
-7
-6
-5
4
3
O
1
2
3
4
5
6
7
8 9
10
-10-9-8-7 -6
-54
3
2.1
0
1
2
3
4
5
6
7
8 9
10
toto+
-10-9
-8-7
-6
-5-4
3
2
.1
0
1
2
3
4
5
6
7
8 9 10
- 10 9 8 7
3 2
-1
0
1
2
3
4
6
7
8
9 10
Answer:
it is on the farthest to the left of the screen
AHHHH Help Answer if you know the all right answer
Answer:
3
The x-intercept of the graph is -4
Graph B
The last graphing question is kinda hard to read so. It should not be c or d. Look for the graph where the line passes through the y-axis starts 30.
Step-by-step explanation:
what is 8.2 x 4.6? weibciewrhcoc
Answer:
37.72
Step-by-step explanation:
Answer:
37.72
Step-by-step explanation:
Hehsisksksnsnsndjs
Select the correct answer
A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. If the area
of the framed painting is 625 square centimeters, what is the side length of the bare canvas?
A
17 centimeters
B.
19 centimeters
C
21 centimeters
D
25 centimeters
Answer:
21cm
Step-by-step explanation:
Area if the canvas = L²
If the length is increased by 4
A = L²
625 = L²
L = √625
L = 25cm
If the 4cm is added to the length of the canvas, the original length will be 25-4 = 21cm. hence the length of the bare canvas is 21cm
Answer:
Other guy is correct, please give him brainliest.
HELPPPPPPP PLEASEEEEEE
HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero
The designers of a water park are creating a new slide and have sketched some preliminary
drawings. The length of the ladder is a = 24 feet, and its angle of elevation is 60° (see figure).
On average, Johanna drinks 2/3 of a 12 ounce can of soda in one hour.
How much does she drink in one and a half hours?
Answer:
12oz or a whole can of soda in 1 hour 30 minutes.
Step-by-step explanation:
[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.
Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faster?
Answer:
Priya
Step-by-step explanation:
We can use division
Mai: 15/6 = 2.5 meters per second
Priya: 22/10 = 2.2 meters per second
Since Priya is going 2.2 meters per second, she is going faster.
How many 0.75-pound packages can you make with 4.5 pounds of sunflower seeds ?
Answer:
6
Step-by-step explanation:
Divide 4.5 by 0.75 and you will get 6
Answer:
6
Step-by-step explanation:
6 because 4.5 divided by 0.75 equals 6.
Someone please help?
The first answer. because 2 to the 4th power is 16 and 2 to the 3 power is eight.
$3.75 for 5 apples: division pls
Answer: 0.75
Step-by-step explanation:
It is easier to divide if you get rid of the decimal, divide 375/5, and then add the decimal back.
Can I have help on this bell ringer please?
Answer:
draw it again
Step-by-step explanation:
draw it as it is you can use a mirror to look through while you are drawing good luck
How many number of terms does 5p^2-2p+3r have?
Answer:
3 terms
Step-by-step explanation:
5[tex]p^{2}[/tex] - 2p + 3r
It has 3 terms
They are as follows:
5[tex]p^{2}[/tex]
-2p
and 3r
Hope this helps
plz mark as brainliest!!!!!
Naomi works in a music shop and earns $42 per day. She earns an extra $2 for each CD she sells. If Naomi wants to earn at least $80 per day, which inequality shows the minimum number of CDs, n, that she should sell?
42 + 2n ≤ 80, so n ≤ 19
42 + 2n ≥ 80, so n ≥ 19
42 + 2n ≥ 80, so n ≥ 36
42 + 2n ≤ 80, so n ≤ 36
Answer:
B. 42 + 2n ≥ 80, so n ≥ 19
Step-by-step explanation:
42 + 2n ≥ 80
Subtract 42 from both sides
2n ≥ 38
Divide both sides by 2
n ≥ 19
Hope I helped :)
Please consider Brainliest :)
Answer:
42 + 2n ≥ 80, so n ≥ 19
Step-by-step explanation:
If she wants to make at least $80 the she would need to sell a number of cedis in addition to her $42
That is:
Let n be the number of CDs
42 + 2n
and to get at least $80, (at least meaning $80 dollars or more)
So that will be:
42 + 2n ≥ 80
So to get at least 80 dollars, she'll have to sell 19 CDs
Why 19 CDs? 42 + 2n which is 42 + 2(19) = 80
Which is why 42 + 2n ≥ 80, so n ≥ 19
If ΔABC ≅ ΔDEF, what is the length of AB?
Answer:
AB=24ft
Step-by-step explanation:
3x+6=4x
6=4x-3x
6=x
AB=3x+6
AB=3(6)+6
AB=18 + 6
AB=24
Solve for x.
-3(2x - 3) + x +4= -27
HELP ASAP DUE TOMORROW!!!
On a family outing, Tyler bought 5 cups of hot cocoa (x)
and 4 pretzels (y) for $18.40. Some of his family members
would like a second serving, so he went back to the same
food stand and bought another 2 cups of hot cocoa (x) and
4 pretzels (y) for $11.20.
Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
Perform the indicated operation.
4/11 ÷ 4/9
a. 1 2/9
b. 16/99
c. 9/11
please explain how to do it as well xc
Given the equation 5x – 2y = 22 and a solution (3a, 4). Find a.
Answer:
a = 2
Step-by-step explanation:
5(3a) - 2(4) = 22
15a - 8 = 22
15a = 30
a = 2
What is the value of X in the equation below if Y equals 12?
6X = Y
Answer:
2
Step-by-step explanation:
i wanna sleep
But i cant cause of this homework
Answer:
I KNOW SAMEEEEEEE IM SORRY XXX
Step-by-step explanation:
OBLOSA MC
A scatter plot with a line is shown below.
Which statement is most likely correct about the line? (5 points)
It can be the line of best fit because it is closest to most data points
It cannot be the line of best fit because it does not pass through the first and last points
It cannot be the line of best fit because it does not pass through the points
It can be the line of best fit because it passes through all the scatter points
Answer: It cannot be the line of best fit becuase it does not pass through all the points.
If a = 4.75 and 4.75 = b, then a = b.
Answer: 22.5625
Step-by-step explanation: 4.75^2 squared is the same thing
|x|+6=3
show HOW to solve plzzz
Answer:
3
Step-by-step explanation:
lxl+6=3
|x|=3-6
|x|=-2
the | | sign is the inequality sign which aignifies the +and - value
+x=-2 or -x=-2
hence x=2 or -2