Answers
Answer:
x = -4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](-2)(3x)+(-2)(-4)-x-3=33[/tex] [tex]-6x +8 - x - 3 = 33[/tex] [tex](-6x-x)+(8-3)=33[/tex] [tex]-7x + 5 = 33[/tex]Step 2: Subtract 5 from both sides.
[tex]-7x + 5 - 5 = 33 - 5[/tex] [tex]-7x = 28[/tex]Step 3: Divide both sides by -7.
[tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex] [tex]x = -4[/tex]Step 4: Check if solution is correct.
[tex]-2(3(-4)-4)- (-4)-3=33[/tex] [tex]-2(-12-4)+4-3=33[/tex] [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex] [tex]24 + 8 + 4 - 3 = 33[/tex] [tex]32 + 4 - 3 = 33[/tex] [tex]36 - 3 = 33[/tex] [tex]33 = 33[/tex]Therefore, x = -4.
Related Questions
The radius of a sphere is increasing at a rate of 0.5 centimeters per minute. At a certain instant, the radius is 17 centimeters.
What is the rate of change of the volume of the sphere at that instant (in cubic centimeters per minute)?
Answers
Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is of:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
In this problem, we have that [tex]\frac{dr}{dt} = 0.5, r = 17[/tex], thus:
[tex]\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84[/tex]
The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.
A similar problem is given at https://brainly.com/question/11496075
Rosalyn is a teacher who plays a review game with her class. The name involves writing each student's name on
an identical slip of paper and selecting students at random Here's the makeup of her class
10th 11th 19
Number of students
18
Suppose that Rosalyn wants 2 different students, so she ples 2 names without replacing names between picks
What is the probability that both students selected are 11th graders!
Round your answer to two decimal places.
Answers
Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230
The distribution of students :
11th graders = 1810th graders = 19Total number of students = 18 + 19 = 37Recall :
Probability = required outcome / Total possible outcomesSince, selection is done without replacement :
P(both are 11th graders) = (18/37) + (17/36) = 0.230
Therefore, the probability that the two selected students are 11th graders is 0.230
Learn more : https://brainly.com/question/25215975
13) What are the solutions to y2 = 81?
Answers
Step-by-step explanation:
y²=81
y²=9²
:. bases same powers equal,
y=9.
hope this helps you.
PLEASE HELP IF YOU KNOW THE ANSWER!!!
I NEED THE DOMAIN AND RANGE
Answers
oh yeah i know the answer. thats cool you need it
The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?
Answers
Answer: 83 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.
2(96) + 2w = 358
192 + 2w = 358
2w = 166
w = 83
Hope it helps :) and let me know if you want me to elaborate.
Please help this needs to be done by the end of the day
Answers
Help what is the fourth answer
Needed by tonight at 10
Answers
Answer:
where is the question?!
Evaluate -5x+8 when x=3 The value of the expression is
Answers
Answer:
-7
Step-by-step explanation:
replace x by 3
-5^3+8
-15+8
=-7
-5x+8
-5(3)+8
-15+8
-17
5 raised by 2- 5 (68-60)=
(with explanation plz)
Answers
Step-by-step explanation:
2-5(68-60)=2-5×8=2-40=38
Which is the correct simplified version of the expression 32x+8-34x? *
1 point
66x+8
74x
-2x+8
6x
Answers
Bc 32 minus 34 is -2 then just add the 8
If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.
Answers
Answer:
a. <1 and <3
Step-by-step explanation:
Manuel is thinking about ordering some graphic T-shirts online. They cost $9 each, and shipping costs $8 regardless of order size. Write an equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y. Do not include dollar signs in the equation.
Answers
Answer:
y = T(x) = 8 + (9/shirt)x
Step-by-step explanation:
Represent "total amount" by T(x). Then:
y = T(x) = 8 + (9/shirt)x
Here the shipping cost ($8) is a fixed cost and the cost of the x shirts is ($9/shirt)(x), where x is the number of shirts bought.
Note that this is a linear equation, and that 8 represents the vertical intercept and (9/shirt) the slope of the line representing the total cost.
The equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y is y = 9x + 8.
The total amount Manuel will pay consists of the cost of the T-shirts and the shipping cost.
The cost of the T-shirts is $9 each, and the shipping cost is a flat $8.
The equation that shows the relationship between the number of T-shirts Manuel buys (x) and the total amount he will pay (y) can be written as y = 9x + 8.
Hence, y = 9x + 8 is the equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y.
To learn more on Equation click here:
https://brainly.com/question/10413253
#SPJ3
Pahelp po please pahelp please pahelp
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The calculations are easily done in a spreadsheet, starting with √A. The value of B is (√A +1)². The formatting of the root as a mixed number is done by converting the numerical values to text strings and joining them together with appropriate intervening characters.
Answering these in this way tends to reduce arithmetic and copying errors. (You may notice that B-A is always 1+2√A.)
C(t)=55t+175 represent the total cost for a quilter to make t quilts.
Answers
Answer:
what is this question asking for
it takes 2/3 of an hour to paint 2/5 of a room
Answers
Answer:
1 and 2/3 hours or 5/3 hours
Step-by-step explanation
1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours and it'd be the whole room
how do you do this 1
2
3
−
6
7
=
Answers
Answer:
4/21
Step-by-step explanation:
Hope this helps
Hi I am so stuck on this question pls help
Answers
Answer:
4500 cm²
Step-by-step explanation:
10 mm = 1 cm
So 450 × 10
= 4500 cm²
The produce of 2 and the difference of a number and 1
Answers
Answer:
2*(n-1) represent the product of 2 and the difference of number and 1.
mark me brainlist plz.
How would you solve the equation -13=-5║n║
Answers
Answer:
-13/5
Step-by-step explanation:
Please answer this it’s very hard for me
Answers
Answer:
C, D, E, F
Step-by-step explanation:
Remember y=mxb?
m is slope and b is y-intercept
so y=2/7x-9
Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.
Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.
Please see the image to help you viualize this.
if kathy had 1700 apples and split with her 4 friends. and then one friend give her back 15 apples. and she gives then 1 apple back. how. much does she have.
Answers
Answer:
439
Step-by-step explanation:
1700/4=425
15-1=14
425+14=439
Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.
Answers
Answer:
[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]
m<DGI = 80°
[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]
The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The ray GI bisects ∠DGH.
It implies that the new angles are equal in measurement.
⇒ m∠DGI = m∠IGH
⇒ 3x - 9 = 2x + 21
⇒ x = 30
Then, in order to calculate m∠DGI, plug x = 30 in 3x - 9 as,
3 × 30 - 9 = 81
Hence, the measure of angle ∠DGI is given as 81°.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
Which of the following equations listed below has a radius of 3?
O A) x^2 + y^2 + 12x - 20y+ 132 = 0
-
O B) x^2 + y^2 + 12x - 20y + 55 = 0
-
O C) x^2 + y^2 - 12x+ 20y + 127 = 0
-
O D) x^2 + y^2 – 20x – 16y + 155 = 0
Answers
Answer:
C.
Step-by-step explanation:
WE need to convert the given equations into the standard form
(x - a)^2 + (y - b)^2 = r^2 where r = the radius.
x^2 + y^2 + 12x - 20y+ 132 = 0
(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132
(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4
giving a radius of 2
x^2 + y^2 + 12x - 20y + 55 = 0
will give a right hand side of -55 + 36 + 100 = 81 giving radius 9.
x^2 + y^2 - 12x+ 20y + 127 = 0
- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.
Answer:
The answer is C I hope this helps
1.
What is misleading about the graph?
"MASSIVE INCREASE IN
HOUSE PRICES THIS YEAR!”
Answers
Can someone please help
Answers
Answer:
<ABC = 70 degrees
<AMC = 60 degrees
< AMB = 60 degrees
Step-by-step explanation:
<ABC = 180-110 = 70 degrees
<AMC = 2x + 60 = 180
2x = 180 - 60
x = 120/2
x = 60
<AMB = 180/3 = 60
There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.
Answers
Yeah... they should.
What is the slope of this graph?
^-4
^1/4
^4
^-1/4
Answers
Answer:
It’s -4
Step-by-step explanation:
Your equation is y=-4x -3
[tex]f(x)=\frac{2x}{x-1}[/tex]
[tex]f(a); f(a+h); \frac{f(a+h)-f(a)}{h}[/tex]
Answers
2nd I’m not sure I don’t want to provide the wrong answer
An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received by his opponent. The new councilman received 2763 votes. How many votes did his opponent receive?
Answers
Answer:
921
Step-by-step explanation:
If he recives 3x amount than his oppenent
than we would divided by 3 from his score to find oppponets score
so....
2763 divided by 3=921
pls help!!!!!!! i will give brainliest!!!!!
Answers
Answer:
There is a strong positive correlation
Step-by-step explanation:
The graph shows as more students study the higher the test score is.