RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign. ...
RULE #2: to move or cancel a quantity or variable on one side of the equation, perform the "opposite" operation with it on both sides of the equation.
I hope this is helpful
Answer:
the Variable "y"
Step-by-step explanation:
6 people can fit in 1 van. Some buses can hold 30 people. How many vans are needed to hold 240 people?
Answer:
40 vans
Step-by-step explanation:
If 6 people can fit in 1 van, 240 people would fit in 240 / 6 = 40 vans
Evaluate 3z + 2[z-1) when z = 5
Answer:
23
Step-by-step explanation:
3z + 2(z-1)
Let z=5
3*5 +2( 5-1)
15 +2(4)
15+8
23
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 feet. How many feet did the airplane descend
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
Melissa sold 18 raffle tickets for the school fundraiser. Jonah sold half as many tickets as Melissa. Shona sold 1 1/2 times as many tickets as Melissa. If each ticket cost 6$, how much total money did the students raise. Please I need help quickly!
Answer:
$324
Step-by-step explanation:
Find how many tickets Jonah sold:
18/2
= 9
Find how many Shona sold:
18(1.5)
= 27
Find the total number of tickets they sold:
18 + 9 + 27
= 54
Find the total amount of money raised:
54(6)
= 324
So, they raised $324 in total
How do you solve this?
Answer:
24 square root of 5
Step-by-step explanation:
Do you need the steps?
Answer:
22.63
Step-by-step explanation:
direct method through calculator
Solve the equation for all real solutions in simplest form.
z^2 - 12z +9= -3
Answer:
Solving the equation for all real solutions in simplest form.
[tex]z^2 - 12z +9= -3[/tex] we get [tex]\mathbf{z=10.9\: or\: z=1.1}[/tex]
Step-by-step explanation:
We need to solve the equation for all real solutions in simplest form.
[tex]z^2 - 12z +9= -3[/tex]
First simplifying the equation:
[tex]z^2 - 12z +9+3= -3+3\\z^2 - 12z +12= 0[/tex]
Now, we can solve the equation using quadratic formula:
[tex]z=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
we have a = 1, b=-12 and c=12
Putting values in formula and finding values of x
[tex]z=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\z=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(12)}}{2(1)}\\z=\frac{12\pm\sqrt{144-48}}{2}\\z=\frac{12\pm\sqrt{96}}{2}\\z=\frac{12\pm9.8}{2}\\z=\frac{12+9.8}{2}\:or\:z=\frac{12-9.8}{2}\\z=10.9\:or\:z=1.1[/tex]
So, we get value of z: z=10.9 or z=1.1
Solving the equation for all real solutions in simplest form.
[tex]z^2 - 12z +9= -3[/tex] we get [tex]\mathbf{z=10.9\: or\: z=1.1}[/tex]
Frederick is making a graph that contains the ordered pairs (0, 3), (3, 2), (2, 1), and (0, 0). Will his graph represent a function?
A. No, because it is not a straight line
B. Yes, because it will pass the horizontal line test
C. Yes, because it passes through the origin
D. No, because an x-value is repeated
That repeated x value is x = 0 due to the two points (0,3) and (0,0) being part of the same function. The input x = 0 maps to more than one output y = 3 and y = 0 at the same time. A function is only possible if any input x leads to exactly one output y. This is only if that x value is in the domain.
Visually, plotting (0,3) and (0,0) together shows that this graph does not pass the vertical line test. It is possible to draw a vertical line through more than one point on this graph. So this is a quick visual way to see that we don't have a function.
An ordered pair may or may not represent a function.
The true statement is (d) No, because an x-value is repeated
The ordered pairs are given as:
[tex]\mathbf{(x,y) = (0, 3), (3, 2), (2, 1), (0, 0)}[/tex]
For an ordered pair to be a function, no x-value must be repeated for different y-values.
From the given ordered pair, 0 is repeated for y-values 3 and 0.
This means that, the ordered pair is not a function.
Hence, the true statement is (d)
Read more about functions and relations at:
https://brainly.com/question/6241820
PLEASE HELP THANK UU
Answer:
A: 90° B: 67° c: 23° D: 67° E: 90° F: 23°
Step-by-step explanation:
A: 90° known
B: 67° 90-∠C=90-23=67
C: 23° known
D: 67° similar triangle property
E: 90° known
F: 23° similar triangle property
is this mapping a function or not a function ¿ i’ll mark brainlist
Answer:
Not a function
Step-by-step explanation:
If it is a function, every input has only one output. Meaning if we graph it, it will pass the vertical line test.
If you want to think about it in x and y, all values of x can only correspond to one value of y.
In this case, we can see that the x-value 6 has 2 corresponding y-values (5 and 10), therefore, this mapping is not a function.
Can the triangles be proven similar and how please.
Answer:
by basic proportionality theorem( Thales theorem)
8/20.8=9/23.4
0.3846153846153=0.384615384615
so by sss similarity both traingles are similar
Step-by-step explanation:
hope it helps
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 790 meters , and plane B was at an altitude of 1142 meters. Plane A losing altitude at 14 meters per second, and Plane B is losing altitude at 22 meters per second
Answer:
[tex]x=4.375[/tex]
Step-by-step explanation
From the question we are told
Plane A starts at altitude 790
Plane B starts at altitude 1142
Plane A losing altitude at 14 meters per second
Plane B is losing altitude at 22 meters per second
Generally the altitude of both plane is given by
Plane A= [tex]790-14x[/tex]
Plane B=[tex]1142-22x[/tex]
Therefore when they exist in the same altitude
[tex]790-14x[/tex] =[tex]1142-22x[/tex]
[tex]-350=-8x[/tex]
[tex]\frac{-350}{-8} =x[/tex]
Therefore
[tex]x=4.375[/tex]
Which function is best represented by this graph
Answer:the potato is ugly
Step-by-step explanation:because it has marks
pleaseeee help its due today :(
thank you in advance <3
Step-by-step explanation:
y = 1 / (cx + a) - b
At the x-axis intercept, y = 0.
=> 1 / (cx + a) - b = 0
=> 1 / (cx + a) = b
=> b(cx + a) = 1
=> bcx + ab = 1
=> bcx = 1 - ab
=> x = (1 - ab) / (bc)
Hence the answer is Option B.
ANYONE ELSE JUST HATE MATH
Answer:
mee I hate math tbh who else doesn't
Answer:
i like math but yeah its hard sometimes :) thanks for points
Step-by-step explanation:
Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.
Plan A: Raise the price by $0.05 each week until the price reaches $8.00.
Plan B: Raise the price by 10 percent each week until the price reaches $8.00.
Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.
Plan D: Raise the price by $0.25 each week until the price reaches $8.00.
Which plan will result in the price of the bagels reaching $8.00 fastest?
plan A
plan B
plan C
plan D
Answer:
Plan C will be the fastest - it will take 10 weeks
Step-by-step explanation:
Plan A will take 60 weeks
Plan B will take the longest 104 weeks
Plan D will be the fastest - it will take 12 weeks
if g(x) =x -7, what if the value of x when g(x) =6
Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
2. Evaluate
x=6+7
x=13
Michael drove his car for 150 minutes at a constant speed of 75 miles per hour and then for another 2 hours at a constant speed of 81 miles per hour.
How far did Michael drive? Show or explain how you got your answer.?
Answer:
he traveled a total of 349.5 miles.
Step-by-step explanation:
*First we convert the 150 minutes to hours, that is :
[tex]h=\frac{1.150}{60} \\h=2.5[/tex]
Now we determine the distance Michael traversed during those 2.5 hours:
[tex]d_{1} =2.5.75 \\d_{1} =187.5\\[/tex]
He transversed 187.5 miles.
We also determine the distance he tranversed the two remaining hours:
[tex]d_{2} =2.81 \\d_{2} =162[/tex]
He also traveled 162 miles
Finally we add both traversed distances:
[tex]d_{t}=187.5+162 \\d_{t} =349.5\\[/tex]
So , he traveled a total of 349.5 miles.
PLEASE MARK ME AS BRAINLIEST
The race begins at a rate of 1.5 meters per second. What distance, d, is covered after t seconds? Slope
Answer:
d = 1.5 m/s x t seconds
Step-by-step explanation:
Speed = distance / time
1.5 m /s = d / t seconds
d = 1.5 m/s x t seconds
help me please due today!
Answer:
No
Yes
No
Yes
Step-by-step explanation:
In the first 1, the input 2 repeats which makes it not a function
in the second one each input is unique and does not repeat so it is a function
in the third one the input 1 repeats and makes it not repeat
And in the last one each input is unique
If inputs (the x value) repeat it's not a function
wite a ratio of the following in three ways. + with simplest form
1. 6 weeks to 12 days
2. 10 decimeters to 10 centimeters
3. 4 days to 36 hours
Answer:
1. 7 to 2
2. 10 to 1
3. 8 to 3
Step-by-step explanation:
(note:I didn't include the units)
hope it helps :)
what is the maximum or minimum of F(x)=|x-3|+3
What is the solution to the equation below? 4(3x + 5) = 5(x + 4) + 7x A infinite solutions OB no solution 0 со D 3
Answer:
Step-by-step explanation:
here you go mate
step 1
4(3x+5)=5(x+4)+7x equation
step 2
4(3x+5)=5(x+4)+7x simplify by distributing
12x+20=12x+20
step 3
12x+20=12x+20 subtract 12x
20=20
step 4
20=20 Divide
0=0
answer
all are real numbers
Please help :( im struggling
Answer:
a= 9/4
Step-by-step explanation:
2m^(5/2)/m^(1/4)
2m^(5/2 -1/4)
2m^(9/4)
Hope you find this helpful <3
Can u solve
2x+13=-7x+28
Answer:
Step-by-step explanation:
2x+13=-7x+28 =
Solutions:
x = 15
9
≈ 1.666667
Answer: x= 5/3
Step-by-step explanation:
subtract 13 from both sides of the equation
2x+13=-7x+28
2x+13-13=7x+28-13
simplify
subtract the numbers
2x=-7x+15
add 7x to both sides of the equation
2x+7x=-7x+15+7x
simplify
9x=15
divide
9x/9 = 15/9
simplify
Cancel terms that are in both the numerator and denominator
divide the numbers
x=5/3
1. What is the initial balance in the account?
2. Is the account growing by the same number of dollars each year? Explain how you know.
3. A second investment account starts with $2,000 and grows by $150 each year.
4. How does the growth of balances in the two account balances compare?
Answer:
The opening balance is the amount of funds in a company's account at the beginning of a new financial period. It is the first entry in the accounts, either when a company is first starting up its accounts or after a year-end.
The initial balance in the account was approximately $4215.
How to find the initial balance in the account?The formula represents the relationship between the initial balance, the interest rate, the compounding period, and the time period.
To determine the initial balance in the account, we can use the formula for compound interest:
A = P(1 + r)ⁿ
where:
A = the ending balance
P = the initial balance
r = the annual interest rate as a decimal (5% = 0.05)
t = the number of years
Substituting the given values, we get:
[tex]5000 = P(1 + 0.05)^{(3.5)}[/tex]
[tex]5000 = P(1.05)^{(3.5)}[/tex]
Dividing both sides by [tex](1.05)^{(3.5)}[/tex], we get:
[tex]P = 5000/(1.05)^{(3.5)}[/tex]
Using a calculator, we get:
P ≈ $4215
Therefore, the initial balance in the account was approximately $4215.
To learn more about the interest click here:
brainly.com/question/13324776
#SPJ2
The question seems incomplete, the correct question would be as:
An account with an ending balance of $5000 earns 5% interest for 3.5 years. What is the initial balance in the account?
(Please help I’ll give you brainlist)
can someone please help me with 13? there’s only two options you can see them in the picture
Answer:
The value of x is 5.8
Step-by-step explanation:
Here. we want to find the value of x
To do this, we need the appropriate trigonometric identity
As we can see 10 is the opposite as it faces the side given
x is the adjacent
The trigonometric identity relating opposite and adjacent is tan . Tan is the ratio of the opposite to the adjacent
Thus, mathematically;
Tan 60 = 10/x
x = 10/tan 60
x = 5.8
Judy combines 6.42 liters of red paint with 6.87 liters of blue paint to make purple paint. She pours the paint equally into 3 containers, and has 2.64 liters of paint left over. How many liters of paint are in each container?
Answer:3.55 liters of paint are in each container
Step-by-step explanation:
Total amount of paint ( purple paint ) =Amount of red paint + Blue paint
= 6.42 Liters + 6.87 Liters
=13.29Liters
Amount of paint in the three containers = Total amount of paint ( purple paint ) - amount left over = 13.29- 2.64
=10.65Liters
Amount OF Paint in each container = Amount of paint in the three containers / 3
10.65/ 3
=3.55 liters
plz help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
x = 16 and y = 625. Find [tex](2\sqrt{x+y} )^{2}[/tex]
[tex](2\sqrt{16+625} )^{2} \\= (2\sqrt{641} )^{2} = 4*641 = 2564[/tex]
HELP HELP PLS!!! 9th Grade Math!!! WILL MARK BRAINLIST!!!
Answer:
x=9
Step-by-step explanation:
These angles are equal to each other because they are alternate exterior angles. Thus, we can solve the for the value of x by creating the equation
6x+5=7x-4
From here, we solve it like a normal algebraic equation, isolating the variables and making sure it is on the same side of the other. From there we subtract 7x from both sides, and subtract 5 from both sides, leaving -x = -4-5. Summing up -4-5, we get -x=-9. Now we make them positive on both sides, leaving the answer that x = 9