Answer:
x=13
Step-by-step explanation:
The expression 3/8z + 1 factored is
Answer:
Factored out is 1/8
Step-by-step explanation:
3z+8/8
At the end of the day, Mr. Díaz drains the pool. The equation
y = -50x + 300 can be used to find y, the number of gallons of
water left after draining the pool for x minutes. Graph the
equation. How long does it take to drain the pool? Explain.
Answer: 6 minutes.
Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.
The graph of the equation y = -50x + 300 is a straight line, and plotted below. The time it take the pool to drain, according to this equation, is 6 minutes.
How do we make graph of a function?Suppose the considered function whose graph is to be made is f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
For this case, we're specified that:
y = the number of gallons of water left after draining the pool for x minutes.The relationship between x and y given is: y = -50x + 300Take two different values of x, let it be 0 and 1.
Then, the value of y we get is:
Case 1: x = 0:[tex]y = -50x + 300\\y = -50 \times 0 + 300\\y = 300[/tex]
Thus, one point on the equation y = -50x + 300 is (0,300)
Case 2: x = 1:[tex]y = -50x + 300\\y = -50 \times 1 + 300\\y = 300 - 50 = 250[/tex]
Thus, another point on the equation y = -50x + 300 is (1,250)
Plot these points taking x on horizontal and y on vertical axis. Then join those two points by a straight line. This is the graph of the considered equation as equation of type [tex]y = mx +c[/tex] is a straight line's equation and for straight line, two of its points are sufficient to plot it.
The graph is given below.
Since we know that:
y = number of gallons of water left after draining the pool for x minutes,
so when the pool drains of fully, there will be no water left, or y = 0.
Putting y = 0 in the equation y = -50x + 300, we get:
[tex]y = -50x + 300\\0 = -50x + 300\\\\\text{Adding 50x on both the sides}\\\\50x = 300\\\\\text{Dividing both the sides by 50}\\\\x = \dfrac{300}{50}= 6[/tex]
Thus, when y= 0, we get x = 6, so when the fully filled pool is drained for 6 minutes, the whole pool gets drained (for this case).
Thus, the time it take the pool to drain, according to this equation, is 6 minutes. The graph of the equation y = -50x + 300 is given below.
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If M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N;
M∩N.
Please show working
Answer:
Step-by-step explanation:
M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N;
Answer:
M∪N = {1, 2, 3, 4, 5, 6, 7, 11, 12}M∩N = {2, 3}Step-by-step explanation:
GivenM = {Prime integers between 1 and 11} and N = { factors of 12}To findM∪N M∩NSolutionSets in full are
Prime numbers up to 11 ⇒ M = {2, 3, 5, 7, 11}Factors of 12 ⇒ N = {1, 2, 3, 4, 6, 12}Combined set
M∪N = {1, 2, 3, 4, 5, 6, 7, 11, 12}Common set
M∩N = {2, 3}Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in
dollars for ordering 5 tickets is $108.00. Which linear function represents , the total cost, when x tickets are ordered?
c(x) = 5.50 + 20.50x
c(x) = 5.50x + 20.50
c(x) = 5.50 + 21.60x
c(x) = 5.50x + 21.60
Answer:
The correct linear function is c(x) = 5.50 + 20.50x.
Step-by-step explanation:
It's a linear function, so that means it uses y=mx+b. It says "per ticket" which means that the ticket cost is the slope, or m, of the equation. The service fee would be added on as a one-time fee, making it the y-intercept, or b. In order to find the cost of the tickets, you had to subtract the service fee from the total cost, then divide by how many tickets were purchased. You can set this up by plugging in what you know.
[tex]108=5.50+5x[/tex]
Subtract the 5.50 from both sides, leaving us with:
[tex]103.50=5x[/tex]
Now, this equation tells us how much 5 tickets cost, but we want how much it is per ticket. That means now we have to divide both sides by 5:
[tex]20.50=x[/tex]
Thus, one ticket is $20.50.
[tex]c(x)=5.50+20.50x[/tex]
The linear function is c(x) = 5.50x + 20.50
Let the cost of the tickets be represented by x
Therefore, 108 = 5.50 + 5x
Collect like terms
5x = 108 - 5.50
5x = 103.50
Divide both side by 5
5x/5 = 103.50/5
x = 20.50
Therefore, a ticket costs $20.50
In conclusion, the total cost, when x tickets are ordered will be c(x) = 5.50x + 20.50.
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What is the solution to the equation 1/2x+3=2/3x+1
Answer: x=12
Step-by-step explanation: because I’m smart and in middle school
Each day, a bakery makes 50 loaves of
wheat bread. If that amount is 20%
of all the bread that they bake, how
many loaves do they bake each day?
worth (10)
Answer:
It would be a total of 500 loaves per day.
Step-by-step explanation:
20% = 1/5.
50 x 5 = 500
(i eliminated the numerator.)
HELP ASAP!
Imagine two lines intersect how can the properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines explain
Because vertical angles always equal each other. linear pairs always equals 180 degrees always. hope this helps :)
Simplify. - (2b - 4)
Show work
PLEASE HELP
Answer:
-2b+4
Step-by-step explanation:
we are multiplying by a negative 1 in the expression.
-1(2b-4)
-2b+4
*negative multiplied by a negative makes a positive
Hope this helps!
You are buying packages of beads to make bracelets. Each package costs $3 plus 7% tax. You have a gift card for $15, and you plan to use only the gift card to pay for the beads. Which function c(p) represents the total cost, where p represents the number of packages of beads you purchase? What is a reasonable domain?
A. c(p) = 3.21p − 15; {0, 1, 2, 3, 4}
B. c(p) = 3.21p; all nonnegative integers
C. c(p) = 0.07(3p − 15); all nonnegative integers
D. c(p) = 1.07(3p); all nonnegative integers
Answer:
A
Step-by-step explanation:
You must multiply the number your buying by the price then you need to multiply by 1.07 because you need 7% or .07 to get the tax but you want to add that to the old number so you need a 1 in front so the answer is c(p) = 1.07(3p) however you still need the $15 gift card so instead you add the 7% into the three dollars you are multiplying by the number then subtract the 15 dollars because you aren't really paying. The reasonable domain is 0 1 2 3 4 because the number 5 would be over the 15 dollar limit.
A square has a perimeter of 36cm calculate the area of the square
Answer:
9 four times is 36 that is 9+9+9+9=36 finding the area we multiply two sides that is 9×9=81. 81 is the answer
[tex]\frac{40x^3y^6}{-8x^2y}[/tex] PLEASE HELP!
Answer:
here's my answer...........
Answer:
[tex]\huge\boxed{\dfrac{40x^3y^6}{-8x^2y}=-5xy^5}[/tex]
Step-by-step explanation:
[tex]\dfrac{40x^3y^6}{-8x^2y}=\dfrac{40}{-8}\cdot\dfrac{x^3}{x^2}\cdot\dfrac{y^6}{y}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=-5x^{3-2}y^{6-1}=-5x^1y^5=-5xy^5[/tex]
domain and range of the function
6. Audrey's monthly car payment is $350 and
she needs to save at least $35 each month for
gas. If Audrey is paid $17.50 an hour, write
and solve an inequality to represent the
number of hours she must work in a month to
pay for her car payment and gas.
The number of hours she must work in a month to pay for her car payment and gas is 22 hours
What is inequality?inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.
$350 + $35 = $385
Audrey makes $17.50 an hour. Set up equality to find the number of hours she must work to pay for her car payment and gas.
17.50x > 385
(17.50x)/17.50 > 385/17.50
x > 22
Therefore, Audrey must work at least 22 hours to pay for her car payment and gas.
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A line has a slope of 3 and goes through the point
(6,-5). What is the equation of this line in
Standard Form?
A. 3xy+y=13
B.-3x+y=-23
C.-3x+y=-13
D.-3x+y=21
Answer:
-3x+y=-23
Step-by-step explanation:
i just took the test on k-12 and this was the correct answer
y=4x+8x, Solve for x.
It's x=y/12, I just need to know how to work it out.
Step-by-step explanation:
Answer:-[tex]\tt{y = 4x+8x}[/tex]
First, we need to add up the x.
We know that 4+8 = 12, so
[tex]\tt{4x+8x=12x}[/tex]
Now, equating it to y,
[tex]\tt{y = 12x}[/tex]
Now, if I multiply [tex]\tt{\dfrac{1}{12}}[/tex] on both sides,
I get,
[tex]\tt{\dfrac{y}{12}= \dfrac{\cancel{12}x}{\cancel{12}}}[/tex]
Now, as 12 got cancelled , I got the final answer as
[tex]\boxed{\tt{x =\dfrac{y}{12}}}[/tex]
Hope it helps :)
Max was solving an equation and got down to 9 = -4. How should he interpret this result?
Answer:
Hi there
Your answer is
This means there is No solution
You HAVE to have a variable. You can't set a number equal to a different number
27 - 11x = x - 13
Need an answer fast will mark Brainliest!
Answer:
x=.3 or 3/10
Step-by-step explanation:
to solve for x, we need to separate it
so, we add 13 to the left side
40-11x=x
then add 11x to the right side so we have different coefficients on each side to solve for x
40=12x
then we divide 40/12 to get what x equals
we get
x= 0.3 or 3/10
hope this helped!
Answer:
x=10/3
Step-by-step explanation:
27 - 11x = x - 13
27+13=x+11x
40=12x
x=40/12
x=10/3
3/0.8 = z/5.6
Solve for z
3 / 0.8 = z / 5.6
To find z, we need to isolate z. How can we do this? Right now, we know z / 5.6 is equal to 3 / 0.8.
To isolate z, we should multiply by 5.6 on each side.This will cancel the divide by 5.6 or the 1/5.6 on the right side to isolate z!
(3 × 5.6) / 0.8 = z
16.8 / 0.8 = z
All we have to is simplify!
z = 21
21 - 3 + 8 or -14 + 31 - 6
Answer:21-3+8=26
-14+31-6=11
Step-by-step explanation:
Help 20 Points!!!!!!!! IT BETTER BE CORRECT!!!!!!!
Answer:
first is true
second is false
Answer:
Step-by-step explanation:
if the decimal point in the first question is supposed to mean a plus sign then the answer is true, but if it is anything else then it is false
the second one is false
Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answer:
88 dollars
Step-by-step explanation:
8 x 6 = 48 dollars (hours)
600 x .05 = 40 (commissions)
48 + 40 = 88 total dollar
Answer:
End of Unit Project: Mathdonalds, Chez Mathématiques, and Was 7×3, Is 10 + 11, Always Will Be 30 – 9.
Step-by-step explanation:
retail store purchases a couch for $600 and marks it up 25% to sell. How much is the retailer asking for the couch?
Answer:
$750
Step-by-step explanation:
To find the new price, multiply the original price by 1.25, since there is a 25% increase in the price:
600(1.25)
= 750
So, the retailer is asking for $750 for the couch
Jacob's job pays him $12.50 per hour. Which equation can be used to find Jacob's salary,
y, if he works for x hours? *
(5 Points)
A. y = x/12.50
B.y = 12.50 + x
.
C.y = 12.50 - x
D.y = 12.50x
Answer:
D
Step-by-step explanation:
BECAUSE the number of hrs he works his salary multiplies
hope this helps..
Andy's phone plan charges $0.45 per text message plus a $20 monthly fee. Jeff's plan charges $0.20 a text plus an additional $35 monthly fee. Which equation can be used to determine when the phone plans will cost the same based on the number of texts?
Answer:
20+0.45x=35+0.20x
Step-by-step explanation:
From the information given, you can say that Andy's plan cost would be equal to Jeff's plan cost and then solve for the number of text to find when the phone plans will cost the same:
20+0.45x=35+0.20x, where x is the number of texts
Now, you can solve for x:
0.45x-0.20x=35-20
0.25x=15
x=15/0.25
x=60
According to this, the equation that can be used to determine when the phone plans will cost the same based on the number of texts is 20+0.45x=35+0.20x.
Emily sold 140 boxes of cookies for a fundraiser. If she sold 80% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
Answer:
175
Step-by-step explanation:
140 is 80% of 175
USING STRUCTURE What type of pair of angles are 6 and 13?
Answer:
Consecutive interior angles
Step-by-step explanation:
This chart may also help
(a) The top of a hill rises 436 feet above Checkpoint 4.
What is the altitude of the top of the hill?
Answer:
no
Step-by-step explanation: obious ok
what’s the value of (sin90+cos360)-tan180
Answer:10
Step-by-step explanation:
f(x)=9
Answer:
-0.72838463823
Step-by-step explanation:
1a) The sin of 90 is 0.8939966636
1b) The cos of 360 is -0.28369109148
1c) The tan of 180 is 1.33869021035
2) When you add sin90 and cos 360 you get 0.61030557212
3) When you subtract tan180 to what we currently have we will get -0.72838463823, and that is your answer.
Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?
11
17
33
99
Answer: 11
Step-by-step explanation:
it takes 3 mins to do one husk so we divide 33 by 3 =11
I know I takes 3 mins for one because I divided 24 by 8.
Answer:
99
Step-by-step explanation:
cuz
More than question on this check my page for more and please give me step for step thanks
Answer:
the angle measures of 14° and x° are adjacent angles that makes the right angle. Therefore the sum of the angle is 90. This then gives x+14=90 x=76
AND OMG HIII ARMY !