Answer:
x = 7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
We have to solve for [tex]x[/tex] so we isolate the value of x in the expression.
[tex]2x + 2x - 9 = 19[/tex]
[tex]2x + 2x - 9 + 9 = 19 + 9[/tex]
[tex]2x + 2x = 28[/tex]
[tex]4x = 28[/tex]
[tex]\frac{4x}{4} = \frac{28}{4}\\[/tex]
[tex]x = 7[/tex]
The graph and the table show 2 different bicycle riders. Each rider travels at a constant speed. Compare the speeds of the two riders.
Answer:
C
Step-by-step explanation:
Jasmine wrote a number that is the opposite of -3. What
number did Jasmine write?
0 1/3
3
0
-3
Answer:
3
Step-by-step explanation:
This is because its the opposite.
Jasmine would write 3.
Hope this helps!!
Answer:
c
Step-by-step explanation:
Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?
Answer:
1. Option C2. NeverStep-by-step explanation:
Refer to attached for the table and clearer version of the question
As per table A and B pipes feed the tank and C is the outlet
Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:
T(x) = 100 + a(x) + b(x) - c(x), this is option C.We can calculate when tank is going to be empty:
0 = 100 + 25x + 10x - 30x0 = 5x + 1005x = -100x = -20Since we got negative number, the tank is not going to be empty when all 3 pipes are open.
The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
The tank will not be empty when all the three pipes are in operation.
What is a function?If we have two sets A and B as:
[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]
Then, function
[tex]f:A \rightarrow B[/tex]
is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.
The connected pairs are then written as:
[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]
Under the function f.
The table shows the input and output of water from pipes A, B, and C.
Pipe A B C
Flow In (gallons/minute) a(x)=25x b(x)=10x
Flow Out (gallons/minute) c(x)=30x
The pipes begin operating simultaneously at noon. Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.
At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.
So, 100, A and B added in the function while C will be subtracted as,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
Thus, the function in option C represents T (x).
Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,
[tex]T(x)=100+25x+10x-30x[/tex]
[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]
This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.
Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
The tank will not be empty when all the three pipes are in operation.
Learn more about the function here;
https://brainly.com/question/13395697
Which graph matches the exponential function f(x) = 2(1.5)x?
Answer: its nit the 3rd one i just took the test
Step-by-step explanation:
Point A is at (-2, 4) and point M is at (2.5, 3.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
let [tex] A(-2, 4) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]
Rewrite the equation to find the coordinates of B
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
Solve for each:
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]
[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] 5 = x_1 - 2 [/tex]
[tex] 5 + 2 = x_1 - 2 + 2 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]
[tex] 7 = y_1 + 4 [/tex]
[tex] 7 - 4 = y_1 + 4 - 4 [/tex]
[tex] 3 = y_1 [/tex]
[tex] y_1 = 3 [/tex]
Coordinates of point B: (7, 3)
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
Rewrite the equation to find the coordinates of B
Coordinates of point B: (7, 3)
If Micah save $150 how much money will his parents give him
Answer:
$300
Step-by-step explanation:
150/5 = 30, 30 x 10 = 300
Round off to the highest place value of 5658
Answer:
6000
Step-by-step explanation:
You want to make the 5 a 6 and zero's for the rest. You make the five a six because if the number is 5 or higher you bump it up one number, if it is 4 or lower you don't need to bump it up or down. I hope this helps!
Place values is the value of a digit in relation to its position
5658 approximated to the highest place value is 6000
The number is given as:
[tex]\mathbf{Number = 5658}[/tex]
The number is in thousands; so, the highest place value is thousands
This means that the number must be approximated to thousands.
When 5658 is approximated to the nearest thousands, the approximated value is:
[tex]\mathbf{Approximated = 6000}[/tex]
Hence, 5658 approximated to the highest place value is 6000
Read more about place values at:
https://brainly.com/question/16552177
Paige mows 1/4 acre in 1/2 hour. How many acres does Paige mow per hour? Paige mows acre per hour.
Answer:
Paige mows 1/2 acre per hour
Step-by-step explanation:
1/4=.25
1/2=.5
.25*2=.50
.50*2= 1
what is the ratio of 6 to 26 expressed as a fraction in simplest from?
Answer:
8 : 5
simple math
In a recent car study, 55% of the cars tested failed the safety test. If 231 cars failed the test. How many cars were tested.?
Answer:
420 Cars were tested
Step-by-step explanation:
231×100÷55=420
Rectangle A is enlarged to create Rectangle B.
Rectangle A measures 4.1 cm by 5.2 cm.
Rectangel B measures 12.3 cm by 15.6 cm.
What is the scale factor?
Answer:
itz 5
Step-by-step explanation:
i took quiz
How do you divide 34.2 / 7.6 and show your work
Answer:
9/2
Step-by-step explanation:
first you convert the decimal number into a fraction
34.2/7.6= 171/5 over 7.6
then it becomes 171/5 over 38/5
then you reduce the fraction with five(so you cross out the 5's)
now youre left with 171/38
then you reduce the fraction with 19
now you have 9/2
9/2 is your answer
I need help math is a pain
Answer:
The answer is A because A has 9 zeroes behind 3.5
what is the slope of the line
Please help i will give brainliest
can you explain the standard form of a line in algebra 1 ?
Approximately 68% of films are rated R. If 800 films were recently rated, how many were rated R?
Answer:
544 movies were rated R... ooop
Answer:
544 movies
Step-by-step explanation:
800/100 = 8 -- to get 1% of the total movies
8*68 = 544 -- multiplied by 68 to get 68%
Mary loves to read. She reads almost everyday! On Monday, she read for 145 minutes . On Tuesday and Wednesday, she read for 459 minutes. How many minutes total has she read so far this week?
Answer:
604 minutes
Step-by-step explanation:
145+459=604
During the 2017 Major League Baseball season, the Detroit Tigers played 162 games . They lost 34 more games than they won. What was the teams win-loss record? Help me please .
Answer:
win: 64
loss: 98
Step-by-step explanation:
win: x
loss: x + 34
win + loss = total games
x + x + 34 = 162
2x + 34 = 162
2x = 128
x = 64
win: 64
loss: (64) + 34 = 98
Please Help Due Soon!
y = 1/3x +b
1 = 1/3(9) +b
1 = 3 +b
subtract 3 from both sides
-2 = b
y = 1/3x - 2What is (21/6) * (-3 3/4)? :
Answer:
...
Step-by-step explanation:
...
How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
1. True
5/7= 0.714285
20/28= 0.714285
2. False
11/13= 0.846
22/25= 0.88
Help fast fast!!! I'm begging
Answer:
28
Step-by-step explanation:
Hope this helps
48 on shelves how many on 12 shelves
Answer: 96 books
If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.
There are 12 shelves. So, multiply 48 by 2.
48 x 2 = 96.
Answer to the question = 96
Setup an equation and solve.
1.The square of a number equals nine times that number. Find the number
9
the square of nine is 81 which is nine times nine
What is-1 5/6 times 6 1/2
Answer:
-11.9166666667
Step-by-step explanation:
Answer:
-11.9166666667
Step-by-step explanation: I just seached it up
Last year a sports team made $2,000,000 in profit, and this year it increased its profits
to $2,500,000. How much money was made on food sales in both years based on how
the sports team makes its profits:
• Programs: 15%
• Food: 40%
• Souvenirs: 25%
• Tickets: 20%
1,000,000
2,500,000x0.4 (40 as a decimal) = 1,000,000
Within six (6) weeks, four (4) colleagues in your department will make an important project. After the project, they were given Php100,000.00 as prize. Give the following amount of contribution each of their member exerted in making the project. How should the prize be divided to the members?
• Member A has made 25% of the total project.
• Member B has made 40% of the total project.
• Member C has made 25% of the total project.
• Member D has made 10% of the total project.
and why did you come up with your decision?
Answer:
The prize is p100,000.00, and we can define this as the 100%.
Now, we could say:
"Each member receives the same percentage of the price as the total percentage of the project that he/she did"
Then:
Member A did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
We can solve this system for X as:
X = (25%/100%)*p100,000.00 = p25,000.00
Now we can use the samme aproach for the other members:
Member B did 40% of the total project:
Then he gets an amount X.
X = 40%
p100,000.00 = 100%
X = (40%/100%)*p100,000.00 = p40,000.00
Member C did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
X = (25%/100%)*p100,000.00 = p25,000.00
Member D did 10% of the total project.
Then he gets an amount X.
X = 10%
p100,000.00 = 100%
X = (10%/100%)*p100,000.00 = p10,000.00
Now, we also could divide the price evenly between the four members:
p100,000.00/4 = p25,000.00
So they all get the same amount, but i think that the actual solution to this problem is the other one.
A rectangular swimming pool has a width of 45 feet and an area of 2250 square feet. What is the pool's length?
Answer:
the pools length is 50ft^2
Step-by-step explanation:
A=l*w
2250=l*45 (u do the opposite operation)
2250/45=50
l=50
we know that,
area of the rectangle = L×B
length =area /breadth
length = 2250/45
length= 50 feet
hope it helps u and pls mark it as brainliest
If a room has 28 people in it, how many people Are in a room 14 times it’s size?
Answer:
392
Step-by-step explanation:
times 28 by 14 and youll get 392 - may i get brainliest :)
Answer:
392 people would be in the room
Step-by-step explanation:
you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together 112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392