Answer: A( – 4 + 2x = 6x – 4= x=0
Step-by-step explanation: Solve : -4x = 0
Multiply both sides of the equation by (-1) : 4x = 0
Divide both sides of the equation by 4:
x = 0
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10x + 20 = 80
B. 20x + 10 = 80
C. 80x - 20x = 10
D. 10x + 20x = 80
Given:
Michelle plans on raising $80.
Selling price of each shirt = $10
So far she has raised $20.
To find:
The number of more shirts she needs to sell.
Solution:
Let x be the number of more shirts she needs to sell.
Selling price of one shirt = $10
Selling price of x shirt = $10x
Total raising amount = $(10x + 20)
Michelle plans on raising $80. So,
[tex]10x+20=80[/tex]
Subtract both sides by 20.
[tex]10x=80-20[/tex]
[tex]10x=60[/tex]
Divide both sides by 10.
[tex]x=\dfrac{60}{10}[/tex]
[tex]x=6[/tex]
So, the required equation is [tex]10x+20=80[/tex]
Therefore, the correct option is A.
Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.
Values of p are factors of
.
Values of q are factors of
.
Answer:
-4, 3
The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)
Step-by-step explanation:
For edge:)
Rational root theorem is used to determine the potential roots of a function
The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
The function is given as:
[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]
p represents the leading coefficient, while q represents the constant term.
So, we have:
[tex]\mathbf{p = 3}[/tex]
[tex]\mathbf{q = 4}[/tex]
The factors of p and q, are:
[tex]\mathbf{p =\pm 1, \pm 3}[/tex]
[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]
So, the potential roots are:
[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]
[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]
So, we have:
[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Read more about rational root theorems at:
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HELP 10 points !!!!!!!
Answer:
B
Step-by-step explanation:
Answer:
84 degrees
Step-by-step explanation:
(6x - 30) + 96 = 180
6x 66= 180
6x= 114
x=19
6(19) - 30 = 114 - 30 = 84
(6x - 30) = 84 degrees
Hope this helps!
Chelsea is budgeting for her trip to the mall. She
does not want to spend any more than $140. If
she wants to buy a dress that costs $28.50 and
I some shirts that cost $20.75 each, how many
shirts can she buy? Use the inequality to help
solve the problem.
140 > 28.50 + 20.75x
Answer:
Chelsea can buy 5 shirts.
Step-by-step explanation:
Subtract 28.50 from 140. This is because subtraction is the inverse of addition, so it will cancel out. 111.50 > 20.75xDivide both sides by 20.75. Division is the inverse of multiplication. 5.3734939759 > xYou can't split shirts when buying them, so Chelsea can buy 5 shirts.
Name a line containing point V.
Answer:
Line A
Step-by-step explanation:
AAnswer:
Step-by-step explanation:
When Carla looked at the library, she noticed that for every 2 nonfiction books, there were 5 fiction books. If there are 161 books total, how many of them are not nonfiction books.
Answer:
138 nonfiction
Step-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of nonfiction to fiction books is 2 to 5
otherwise expressed as 2:5
the total ratio is 2+5= 7
the total number of books is 161,
applying the part to all approach
nonfiction to all is
let the nonfiction be x
2/7=x/161
cross multiply we have
7x= 161*6
7x=966
divide both sides by 7
x=966/7
x=138 nonfiction
138 nonfiction
How is 4.209 written using words?
Answer:
Four and two hundred nine thousandths
Answer
four and two hundred nine thousandths. or, simpler: four point two hundred nine. or, even simpler: four point two zero nine.
Step-by-step explanation:
Orville was out bicycling with his brother Wilbur. Orville stopped to fix a flat tire. Wilbur continued at 10 mph. After 30 minutes, Orville had fixed the flat, and he rode off at 12 mph in pursuit of Wilbur. In how many hours did Orville catch up to Wilbur?
Answer:
Orville caught up with Wilbur in 2.5 hours
Step-by-step explanation:
Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur
Mathematically,
distance = speed * time
The distance traveled before Orville restarted his own journey is ;
distance = 10 mph * 0.5 = 5 miles
(30 minutes is 30/60= 0.5 hours)
So this means that Wilbur was now 5 miles ahead of Orville
Now, let the number of hours it took to
catch up Wilbur be h
In h hours,
Wilbur would have traveled 5 miles + 10h
In this same time, Orville would have traveled
12 * h = 12h
So the distance traveled by the two will be equal at this h hour
5 + 10h = 12h
12h-10h = 5
2h = 5
h = 5/2
h = 2.5 hours
Rebecca is on the swim team. If you can swing 24 labs in six minutes how long would it take her to swim 36 laps
Answer:
9
Step-by-step explanation:
if you think bout it 24/6 is 4 and 36/9 is 4
What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19
Answer:
The answer is D
Step-by-step explanation:
How many cups of white paint would be needed for just one batch?
Answer:
one white paint
Step-by-step explanation:
because if you use 1 whit paint on 1 yellow paint is either you get a little yellow pigment or light cream
Paola and Tom opened a lemonade stand. This week they sold 20 cups of lemonade and received $5 in tips. If they spend $30 on supplies, which inequality could be used to find x, the price of each cup they must sell to make a profit?
Answer:
20x + 5 < 30
Step-by-step explanation:
To make a profit, the price on supplies must be less than the amount at which they sold their wares
Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25
So now, we need the smallest price at which they will sell per lemonade to make a profit
Mathematically, that will be;
20x + 5 > 30
Using this inequality X they will know the value of x that will give them profit
What is the length of EF?
PICTURE BELOW:
CHOICES ARE:
3.8
2.4
1.2
0.5
Answer:
3.8 is the answer of this question
y=x
y= 11x-10
simultaneous equation
Answer:
y = 1
x = 1
Step-by-step explanation:
If y = x
Replace x with y
y = 11y - 10
y - 11y = -10
-10y = -10
y = 1
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Consider function f.
f(x)= x^3 + 2x^2 - 5x - 6
Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.
Answer:
x = 2, x = -1, x = -3As x approaches negative infinity, f(x) approaches negative infinityStep-by-step explanation:
Given function
f(x)= x^3 + 2x^2 - 5x - 6Finding zero's
x^3 + 2x^2 - 5x - 6 = 0x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =(x - 2)(x^2 + 4x + 3) = (x - 2)(x^2 + x + 3x + 3) = (x - 2)(x(x + 1) + 3(x + 3)) =(x - 2)(x + 1)(x + 3)Zero's are
x = 2, x = -1, x = -3See the graph attached
Correct end behavior as per graph:
As x approaches negative infinity, f(x) approaches negative infinityAnswer:
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation: Plato
Which of the following is the graph of the solution set of:
y< -3 or y<1
I NEED HELP ASAP!!
Whats % is 4 of 16 ?
Answer:
25 percent
Step-by-step explanation:
percent=1/100
16 times x=4
16 times 1/4=4
Answer:
.06 % (6%)
Step-by-step explanation:
I'm not good at explaining but,
Using baseball method I:
1. Wrote it out as a fraction
2. multiplied numerator (4) by the denominator of (16)
3. Then I divided the product of that, 64, by 100 and got .04
Which is 4% (:
With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.
Answer:
The answer is 267.
Step-by-step explanation:
If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).
Therefore the answer is 267 (250 + 17)
work out inverse function
y=8x
Answer:
[tex]\frac{x}{8}[/tex]
Step-by-step explanation:
When solving inverse functions, switch the x and y's:
x=8y
Then solve for y: (divide 8 on both sides)
[tex]\frac{x}{8}=y\\[/tex]
A racehorse breeder's sells feed by the ton (2000 pounds). They add a special supplement to the feed. Each horse needs 300 milligrams (mg) of this supplement a day and each horse consumes 15 pounds of the feed per day. If there are 1,000 milligrams in a gram, how many grams of the medication should the feed company add for each ton of feed they produce
Answer: 40 grams
Step-by-step explanation:
Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.
This means that 300 milligrams should be in 15 pounds of feed.
In 2,000 pounds therefore, the medication that should be added is;
= (2,000 * 300) / 15
= 40,000 milligrams of supplement
Question calls for how much grams are needed.
1 gram is 1,000mg
40,000 milligrams is;
= 40,000/1,000
= 40 grams
rounding to 1 significant figure, estimate the answers to these questions:
a)
78 x 92
b)
615 x 38
c)
423 x 764
Wayne graphed the following linear function on an (x,y) coordinate plane.
f(x) = -5.4x+12.6
What is the y intercept of the graph of this function ?
Answer:
12.6
Step-by-step explanation:
The y intercept means that x=0, therefore you will plug in 0 in your equation.
f(x) = -5.4x + 12.6
f(0) = -5.4(0) + 12.6
f(0) = 0 + 12.6
=12.6
Find the height of the tree in the diagram shown.
Answer:
Assuming we have the same question, the answer would be: D) h = 45tan59° ft
Step-by-step explanation:
Solve the proportion 2/7=c/28
Hurry!!!
Answer:
C = 8
Step-by-step explanation:
2/7 = c/28
Multiply to get c by itself
2/7 x 28 = c
Solve
2/7 x 28 = 8
C = 8
The value of c is 8 in the proportion 2/7=c/28.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given proportion is 2/7=c/28
Two divided by seven equal to c divided by twenty eight.
We have to find the value of c.
We find the value of c by applying cross multiplication
28×2=7c
56=7c
Divide both sides by 7
56/7=c
Divide numerator and denominator by 7
We get c=8
Hence, the value of c is 8 in the proportion 2/7=c/28.
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ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!! Which conversion factor would you use to convert from meters to feet?
Answer:
1 ft / 0.3048 m
Step-by-step explanation:
Help me solve this please
Substitute to solve
Brainliest for correct answer
Answer:
x=-1
Step-by-step explanation:
Answer:
x=3/5 y=-2.5
Step-by-step explanation:
3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.
The first equation of the system is multiplied by 2.By what number would you multiply the second equation to eliminate the x variable by adding? 6x - 5y = 21 4x + 7y = 15
Answer:
We have to multiply 4 with 3 to make it equal to 12.
Step-by-step explanation:
Given the two equations:
[tex]6x - 5y = 21\\ 4x + 7y = 15[/tex]
In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.
Here, we have to eliminate [tex]x[/tex].
The coefficients are 6 and 4.
The least common multiple of 6 and 4 is 12.
So, we multiply 6 by 2 to make it equal to 12.
and we have to multiply 4 with 3 to make it equal to 12.
And then the two equation have to be subtracted from each other.
Answeer
what the other person said was right
Step-by-step explanation:
What is 87,000,000 in scientific notation
Answer:
8.7 * 10^7
Step-by-step explanation:
Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.
Hence,
87,000,000
=87*10^6
=8.7*10^7
Two parallel lines are crossed by a traversal. What is the value of y?
Answer:
y = 50 is answers and it is alternate angle
Answer:
B
Step-by-step explanation:
The two angles are the same
A bike is priced at $63.50. There is an 8% sales tax rate. What is the sales tax for the bike in
dollars and cents?
Answer:
The answer is $68.58
Step-by-step explanation:
The total cost of the tax is $5.08 so if you add that to $63.50 you get $68.58.
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