Answers
Answer:
x = 5
Step-by-step explanation:
70 - 4x = 30 + 4x
Add 4x on both sides of the equation,
70 - 4x + 4x = 30 + 4x + 4x
70 = 30 + 8x
Subtract 30 from both sides of the equation to isolate 8x,
70 - 30 = 30 + 8x - 30
40 = 8x
Divide both sides of the equation by 8 to solve for x,
40 ÷ 8 = 8x ÷ 8
5 = x
Answer:
= 5 groups.
Step-by-step explanation:
Solve the equation 70 - 4x = 30 +4x 70 - 30 = 4x + 4x 40 = 8x x = 52. Substitute the equation
Classroom A = 70 STUDENTSClassroom B = 30 STUDENTS.70 - 20 = 30 + 20 50 = 5020 students from classroom A in groups of 4 = 20 divide by 4.= 5 groups.
Related Questions
Which of the following is a solution of y-x>-3?
(2,6)
(2,-1)
(6,2)
Answers
Answer:
Step-by-step explanation:
Answer= (2,6)
">" means greater than..
y-x >-3 so in this case you would plug in y= 6, and x=2
6-2=4 and 4 is greater than -3. :)
The other answers give negative numbers of -3, and -4 which aren't greater than -3.
The fraction strip shown below is shaded to represent dam fraction which fraction strip is shaded to represent a fraction equal to the fraction strip shown above
Answers
Answer:shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip
Step-by-step explanation:
1. The Rock has an 88-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 6 gallons per minute. Handwritten. Show all work. Complete sentence for each question. (a) Assuming the tank was full, write a function in the form y=mx + b that represents the amount of water in the tank, Y, after X minutes. You will need to know the initial value and the rate of change. (b) How long has the tank been draining for if it has 34 gallons left?
Answers
Using linear function concepts, it is found that:
a) The function is y = 88 - 6x.
b) The tank has been draining it for 9 minutes.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Item a:
The full volume of the tank is of 88 gallons, hence the y-intercept is of b = 88.The volume can be drained at a rate of 6 gallons per minute, hence the slope is of m = -6.Thus, the equation is given by:
y = 88 - 6x.
Item b:
This is x for which y = 34, hence:
y = 88 - 6x
34 = 88 - 6x
6x = 54
x = 9.
The tank has been draining it for 9 minutes.
More can be learned about linear function concepts at https://brainly.com/question/24808124
The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the amount of water after x minutes.
The Rock has an 88-gallon fish tank which can be drained at a rate of 6 gallons per minute. Hence:
m = -6, b = 88
y = -6x + 88
For 34 gallons:
34 = -6x + 88
x = 9
The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.
Find out more on equation at: https://brainly.com/question/2972832
(-5, -1), 6
Write an equation of a circle with the given center & radius
Answers
Step-by-step explanation:
The equation of a circle with the given center and radius.
center = (-5,-1) and radius is 6
x²-y²-10x-2y-6=0.
What is the equation of circle?
The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
Here (h,k) is the center of the circle and (r) is the radius of the circle.
The equation of a circle with the given center and radius. center (-5,-1) and radius 6 has to be written. Use the above equation,
Thus, the equation of a circle with the given center and radius.
center (-5,-1) and radius is 6
x²-y²-10x-2y-6=0.
A 16-pound force is applied to a 36-inch input arm. The resultant output torque is
A. 4 pound feet
B. 12 pound feet
C. 48 pound feet
D. 64 pound feet
Answers
So
Torque
[tex]\\ \rm\Rrightarrow \tau=3(16)[/tex]
[tex]\\ \rm\Rrightarrow \tau=48lbs\:ft[/tex]
A store is having a Black Friday sale where all electronics are 20% off. Jessica also has a one-time use
coupon for 15% off. If Jessica received both discounts and paid $108.80 for a pair of headphones, what was
the original price of the headphones?
WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
20+15=35%
to find the original price all we have to do is use the formula-
original price = sale price / (1 - percent off/100)
original price = 108.80 / (1 - 35/100)
original price = 167.3846...
original price = 167.38
hope this helps you :D
Simplify the radical expression.
Answers
Answer:
-8√(6n).
Step-by-step explanation:
-√(8n) * 2√12
= -√4*√(2n) * 2√4√3
= -2√(2n)*4√3
= -8√(6n)
Marlon has 2 gallons. how many cups of juice does he have?
Answers
Answer: Marlon would have 32 cups of juice
Step-by-step explanation:
Since there are 16 cups in one gallon, you simply multiply 16 by 2, to get your answer of 32 cups.
for charles the great please help
Answers
Answer:
119
Step-by-step explanation:
23 plus 64 plus 32
I think I just did this question
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.)
Answers
The operating characteristics of the customer waiting line shows that the average service rate per hour is 5 customers per hour.
How to compute the operating characteristics?The average service rate per hour will be:
= 60/12 = 5
The average number of customers waiting will be:
= (2.2)²/5(5 - 2.2)
= 4.84/14
= 0.3457
The average number of customers in the system will be:
= 0.3457 + 2.2/5
= 0.7857
The average time that a customer spends waiting in the system will be:
= 0.3457/2.2
= 0.1571
Learn more about waiting line on:
https://brainly.com/question/4463118
A train travels at an average rate of 40 mph and travels for 110 miles . Write an equation
Answers
Answer:
the equation is 40/1 = 110/x hours
Step-by-step explanation:
It would take (2 hours and 45 min) for the train to travel this far
10 ft
12 ft
15 ft
surface area:
volume :
Answers
Answer:
Step-by-step explanation:
Not enough information given in your question to provide an answer.
solve tan(x)(tanx+1)=0
Answers
Answer: [tex]x=n\pi , \frac{3\pi }{4} +n\pi[/tex]
Step-by-step explanation:
Since we have a product here, either term can be zero. We can individually set each term equal to zero:
[tex]tan(x)=0[/tex]
[tex]tan(x)+1=0[/tex]
Beginning with the first term. It is saying "tangent of what gives zero". Well, tangent of zero gives zero. The value pi also gives zero:
[tex]tan(0)=0[/tex]
[tex]tan(\pi )=0[/tex]
We can generalize this by saying 'x' is equal to pi multiplied by an integer 'n', where 'n' is 0, 1, 2, 3...
[tex]x=n\pi[/tex]
Moving on to the second term, lets subtract that 1 to the other side to get:
[tex]tan(x)=-1[/tex]
Tangent of what gives -1? That would be 3pi/4. Tangent is the ratio of sine and cosine. So, you can essentially think of tangent as the slope of the line on a unit circle. Refer to the figure below. Another location along the unit circle where we get -1 is at 7pi/4, which is just 3pi/4 shifted by 180 degrees. Therefore, we can generalize this solution by adding 'npi' to 3pi/4 to get:
[tex]x=3\pi /4+n\pi[/tex]
where 'n' is 0, 1, 2, 3...
Two science classes got to go to an amusement park. Counting the students and the chaperones, there were 54 people that went to the park, for a total cost of $367.50. Adult tickets cost $8.00 and student tickets cost $6.50.
Answers
Answer:
43 students and 11 chaperones
Step-by-step explanation:
Let a = number of chaperones or adults
Let s = number of students
1) We could set up two equations and solve them simultaneously using the substitution or the elimination method.
s + a = 54
8a + 6.50s = 367.50
I choose the substitution method.
2) Solve for s or y. I choose s.
a = 54 - s
8(54 - s) + 6.50s = 367.50
--------------------------------------
432 - 8s + 6.50s = 367.50
432 - 1.50s = 367.50
-1.50s = 367.50 - 432
-1.50s = -64.50
s = [tex]\frac{-64.50}{-1.50}[/tex]
s = 43
3) Substitute the result into one of the two equations above. I choose the first one.
43 + a = 54
a = 54 - 43
a = 11
The original price of a phone was reduced by $200.
If p = the phone's original price in dollars, which algebraic expression
represents the reduced price?
A. p- 200
B. 200 + p
C. 2002
D. 200-P
Answers
•
•
•
Explanation: If the phone’s original price was reduced by $200, and the original price in dollars represents p the smartest answer would be A.
help me please aaaaaaaaaaaaaaaaaaaaaaa
Answers
Answer: 162
Step-by-step explanation:
C D
5
What is the slope of the equation Y =
7
-42
0-7
7
4
54
05
Answers
Answer:
The answer is:
[tex] \frac{5}{4} [/tex]
Step-by-step explanation:
Because In the equation y=mx+b, m is always the slope.
Amy and Julie are going camping.
Each of them both has a bag of marshmallows. The bag of marshmallows has 60 marshmallows inside. The girls also bring crackers. If Amy and Julie make 15 s'mores, how many crackers did they use?
Answers
Tell if the slope is positive, negative, zero, or no slope. UNDEFINED
Answers
Answer:
Zero Slope
Step-by-step explanation:
A Negative Slope is going down on the graph and it is negative M (y=mx+b)
A Positive Slope has is going up on the Graph and it is a positive M (y=mx+b)
(Imagine a Mountain)
Zero Slope is where there is only one y value and infinite x values
Undefined is where there is one x value and infinite y values
Emily got a new fish tank for her pet betta fish.
The tank is shaped like a rectangular prism that
is 48 centimeters long, 30 centimeters wide,
and 30 centimeters high. She is filling the tank
with water from a faucet flowing at a rate of 7.2
liters, or 7,200 cubic centimeters, per minute.
How many minutes will it take Emily to fill the
tank?
Write your answer as a whole number or
decimal. Do not round.
Answers
Explanation:
To start off, we'll need the volume of the fish tank.
Volume of a rectangular block = (length)*(width)*(height)
V = L*W*H
V = 48*30*30
V = 43,200
The volume of the tank is 43,200 cubic cm.
Divide this over the flow rate of 7200 cubic cm per minute to get
(43,200)/(7200) = 6
It will take Emily 6 minutes to completely fill the tank.
Sharon wants to buy a shirt that costs $25. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answers
Answer:
Price before Taxes: $ 25.00
+ Sales Tax (5%):$ 1.25
Total Price with Tax:$ 26.25
Need help or the answer for these two someone help please!!
Answers
Answer:
1) 287.97; 2) 75.396 [in³].
Step-by-step explanation:
1) the rule:
V=1/3 *πhr²;
2) according to the formula above:
V₁=1/3 *3.1415*11*5²=287.97 [in³];
V₂=1/3 *3.1415*8*3²=75.396 [in³].
21 = r -5
=
HOW DO WE SLOVE THIS
Answers
Answer:
R = 26.
Step-by-step explanation:
The way to solve this is to add 5 to both sides.
r=4.2
It may show subtraction but it is division, 21÷5=4.2
what is the digit 9 in this number 195,487
Answers
Answer: Is in the 10 thousands place 4
Step-by-step explanation: 100,000 90,000 400 80 7
Answer:
In this case the number 9 would be located in the tens of thousands.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Given f(x) = 10/x^2- 7x-30
which of the following is true?
(see attached image, it’s not A)
Answers
Answer: f(x) is positive for all x<10
Proof of validity is shown below.
Find the area of the figure
Answers
Answer:
its 60
Step-by-step explanation:
because 10 time 6 equals 60
how many solutions does this system of equations have?
x-4y= -20
x-4y = -8
Answers
Answer:
Infinitely many
Step-by-step explanation:
Same slope, DIfferent Y-intercept
Please help :(
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set?
The box will go from 10 to 12.
A line dividing the box will be at 12.
The left whisker will go from 4 to 15.
The right whisker will go from 12 to 20.
Give explanation for brainliest.
And thanks for all the follows!
Answers
Given:
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.
To find:
The correct statement for the box plot.
Solution:
Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.
Median of the data set is 12, so a line dividing the box will be at 12.
Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.
Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.
Therefore, the correct option is B.
-HEAVEN
Help please! I need help!!!!
Evita is solving the system of equations shown using the elimination method. first equation: 3x + 8y = 20 second equation: 5x – 2y = 4 - What operation will eliminate one of the variables?
A. multiply the first equation by 2
B. multiply the first equation by 4
C. multiply the second equation by 2
D. multiply the second equation by 4
Answers
Answer:
D. multiply the second equation by 4
Step-by-step explanation:
3x + 8y = 20 __ equation 1
5x – 2y = 4 ___ equation 2
multiply the second equation by 4
3x + 8y = 20 __ equation 1
20x – 8y = 16 ___ equation 2
============
23x = 36
x = 36/23
y = (4-5x)/-2
y = (4-5(36/23))/-2
y = 44/23
There are 5 dogs playing at the dog park. Tyrone has 4 biscuits to share equally among the dogs. Tyrone wants to know how many dog biscuits each dog will get.
Answers
4/5= .8 dog biscuits for each dog or they would get 4/5 of a dog biscuit
Hope this helps :)