With the equation 3z+3=2z+6
Answers
Answer:
z = -3
Step-by-step explanation:
Simplifying
3z + -3 = 2z + -6
Reorder the terms:
-3 + 3z = 2z + -6
Reorder the terms:
-3 + 3z = -6 + 2z
Solving
-3 + 3z = -6 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
-3 + 3z + -2z = -6 + 2z + -2z
Combine like terms: 3z + -2z = 1z
-3 + 1z = -6 + 2z + -2z
Combine like terms: 2z + -2z = 0
-3 + 1z = -6 + 0
-3 + 1z = -6
Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3
Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3
Combine like terms: -6 + 3 = -3
1z = -3
Divide each side by '1'.
z = -3
Simplifying
z = -3
Answer:
=3z+3=2z+6
=3z-2z=6-3
=z=3
hope you like the answer
please mark the answer as brainliest
Related Questions
Factor the common factor out of each expression. PLEASE HELP! WILL GIVE BRAINLIEST
Answers
Answer:
1. 4(4-9m) 2. 8(x-5) 3. 7(5-3a) 4. 2(2n-1) 5. -10(3n+1) 6. 6(5n+1) 7. 10(3x+7) 8. -3(n+4) 9. 2(9-2a) 10. 8(1-k) 11. 5(8-7n) 12. 5(9x-5)
Step-by-step explanation:
When Jose had cable TV, he had 120 channels. He switched to satellite TV, and now he has 300 channels. What is the percent increase in the number of channels Jose has to watch? Round to the nearest percent.
Answers
The percent increase in the number of channels Jose has to watch is 150%.
What is percent?To find the percent increase in the number of channels Jose has to watch, we need to find the difference between the new number of channels and the old number of channels, divide that by the old number of channels, and then multiply by 100 to get the percentage increase.
The difference between the new and old number of channels is 300 - 120 = 180.
Dividing that by the old number of channels and multiplying by 100 gives us:
(180/120) x 100% = 150%
Therefore, the percent increase in the number of channels Jose has to watch is 150%. This means that Jose now has 150% more channels to watch than he did before he switched to satellite TV.
Learn more about percent, here:
https://brainly.com/question/28840349\
#SPJ1
how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)
Answers
Answer:
2q-1
Step-by-step explanation:
Add:
Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.
Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q
5/4q-1/4q is q
q+q is 2q
Now do the same thing with the numbers that doesn't have variables
1-4+2=-1
So the answer is 2q-1
Hope this helps!
Answer:
2q -1
Step-by-step explanation:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
5/4q + 1 + q - 4 - 1/4q + 2
5/4q + q - 1/4q + 1 - 4 + 2
2q -1
is 6km is not as far as 6 miles true or false
Answers
Answer:
False.
6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.
Step-by-step explanation:
The answer is:
trueWork/explanation:
We can't really compare two things if they have different units.
So we need to convert kilometers to miles first.
1 km is approximately equal to 0.621 miles.
So 6 km would be approximately 3.728 miles.
6 miles is further away than 3.728 miles.
Hence, the answer is true.6 km is not as far as 6 miles. And now we know why.
When a bill is not paid by the due date, a late fee is added each month until the bill is paid. The values in the table represent the total amount due, in dollars, for each month that a payment remains overdue.
Months | Total due
2 300
5 375
10 500
Using x for the number of months overdue and y for the total amount due, in dollars, construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due. Enter the equation of the function in the box
Answers
The total amount due, in dollars, is an illustration of a linear function
The equation of the function is \(y = 25x + 250\)
Represent the month with x, and the total due with y.
Start by calculating the slope (m) using:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{375 - 300}{5 - 2}\)
Simplify
\(m = \frac{75}{3}\)
Divide 75 by 3
\(m = 25\)
The linear equation is then calculated as:
\(y = m(x - x_1) + y_1\)
So, we have:
\(y = 25(x - 2) + 300\)
Open bracket
\(y = 25x - 50 + 300\)
Add 300 to -50
\(y = 25x + 250\)
Hence, the equation of the function is \(y = 25x + 250\)
Read more about linear equations at:
https://brainly.com/question/4074386
answer this maths question.
Answers
Answer:
IM NOT ABLE SEE THE QUESTION
Step-by-step explanation:
PLEASE TYPE AND SEND IT
Answer:
jwjwjowowowowowoowow
The Senate in a certain state is comprised of 59 Republicans, 39 Democrats, and 2 Independents. How many committees can be formed if each committee musthave 3 Republicans and 2 Democrats?
Answers
Given:
There are given that the Senate in a certain state is comprised of 59 Republicans, 39 Democrats, and 2 Independents.
Explanation:
According to the question, the committees must have 3 Republicans and 2 democrats
That means,
Choose 3 Republicans from 59 Republicans and 2 democrats from 39 Democrats.
The,
\((59\text{ choose 3)(39 choose 2)}\)So,
\((59C_3)(39C_2)_{}\)Then,
From the formula of combination:
\(nC_r=\frac{n!}{r!(n-r)!}\)Then,
\((59C_3)(39C_2)_{}=(\frac{59!}{3!(59-3)!})(\frac{39!}{2!(39-2)!}\)Then,
\(\begin{gathered} (59C_3)(39C_2)_{}=(\frac{59!}{3!(59-3)!})(\frac{39!}{2!(39-2)!} \\ =(\frac{59!}{3!(56)!})(\frac{39!}{2!(37)!}) \\ =(\frac{59\times58\times57\times56!}{3!(56)!})(\frac{39\times38\times37!}{2!(37)!}) \\ =(\frac{59\times58\times57}{3!})(\frac{39\times38}{2!}) \end{gathered}\)Then,
\(\begin{gathered} (\frac{59\times58\times57}{3!})(\frac{39\times38}{2!})=(\frac{59\times58\times57}{3\times2\times1})(\frac{39\times38}{2}) \\ =(\frac{59\times58\times57}{6})(\frac{39\times38}{2}) \\ =\frac{289070028}{12} \\ =24089169 \end{gathered}\)Final answer:
Hence, 24089169 committees can be formed.
******PLEASE HELP!!******
Answers
Answer:
\(9^{4}\)
Step-by-step explanation:
9^-5 = 9^4 x 9^-9
4-9 = -5
Please help me with this question!!!!!
Answers
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
Pleaseee help! I WILL MARK BRAINLIEST.
The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
Answers
The total weight of the two animals is 1.3 x 10^4 lbs.
How to determine the total weight of the two animals?The given parameters are
Animal 1 = 4.23 x 103 lbs.
Animal 2 = 8.7 x 103 lbs.
Rewrite the parameters properly
Animal 1 = 4.23 x 10^3 lbs.
Animal 2 = 8.7 x 10^3 lbs.
The total weight of the two animals is calculated as
Total weight = Animal 1 + Animal 2
This gives
Total weight = 4.23 x 10^3 lbs + 8.7 x 10^3 lbs.
Factor out 10^3 lbs
Total weight = (4.23 + 8.7) x 10^3 lbs.
Evaluate the sum
Total weight = 12.93 x 10^3 lbs.
Rewrite as
Total weight = 1.293 x 10^4 lbs.
Approximate
Total weight = 1.3 x 10^4 lbs.
Hence, the total weight of the two animals is 1.3 x 10^4 lbs.
Read more about scientific notation at:
https://brainly.com/question/5756316
#SPJ1
find the distance between each pair of points. round your answer to the newest tenth, if necessary.
Answers
Answer:
The distance between (0, 3) and (2, 4) is:
\( \sqrt{ {(4 - 3)}^{2} + {(2 - 0)}^{2} } \)
\( \sqrt{ {1}^{2} + {2}^{2} } \)
\( \sqrt{5} = 2.236\)
To the nearest tenth, √5 = 2.2
A B. C A3 x 3 matrix is above. It has a pattern going both horizontally across the rows and vertically down the columns. The pattern is not necessarily the same in both directions. There is one object that fits correctly in the bottom right corner of the matrix. Choose this object from the list below the matrix Select one: a. A ОБ. В Ос, с d. D e. E f.F 8.G h. H
Answers
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
what is matrix i?A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
To know more about matrix visit:
https://brainly.com/question/29995229
#SPJ4
Can someone help me with this one?
Answers
Answer and Explanation:
First, multiply the constants in each term:
3 · 4 = 12
So, 12 will be the constant factor of the terms' product.
Then, multiply the x's using the exponent rule: \(x^a \cdot x^b = x^{(a\, +\, b)}\)
\(x^2 \cdot x^3 = x^{(2\,+\,3)} = x^5\)
So, x⁵ will be the x factor in the product.
Next, multiply the y's using the same exponent rule.
\(y^5 \cdot y^7 = y^{(5\,+\,7)} = y^{12}\)
So, y¹² will be the y factor in the product.
Finally, multiply the factors of the product together to get the product.
12x⁵y¹²
3. What is the perimeter of a square
that is 3 inches on one side?
A 15 inches
(B) 12 inches
C
D
9 inches
3 inches
Answers
Step-by-step explanation:
(B) 12 Inches is the answer because perimeter (P) =4l =4×3=12
A square has four equal sides and if one side is 3 then 3*4 is 12
y = x + 1 y = − 4x − 4
Answers
Answer:
2y=3x=-4
Step-by-step explanation:
grouping like terms
y+ly =4x-x=-4
2y=3x=-4
Calculate the difference between 5.44 and 3.75.
Answers
Answer:
Umm this is like 2 grade stuff? Ummm well difference means to subtract soo just use a calutour the answer is 1.69
Step-by-step explanation:
Three cylinders have a volume of 2826 cm. Cylinder A has a height of 900 cm. Cylinder B
has a height of 225 cm. Cylinder C has a height of 100 cm. Find the radius of each cylinder.
Use 3.14 as an approximation for T.
Answers
Answer:
the radius of each cylinder is 1 cm, 2 cm and 3 cm respectively
Step-by-step explanation:
The computation of the radius of each cylinder is shown below:
As we know that
The Volume of the cylinder = πr^2h
The radius would be
\(=\sqrt{ \frac{V}{\pi h} }\)
For cylinder A
\(=\sqrt{\frac{2826}{3.14\times 900} }\)
= 1 cm
For cylinder B
\(=\sqrt{\frac{2826}{3.14\times 225} }\)
= 2 cm
For cylinder C
\(=\sqrt{\frac{2826}{3.14\times 100} }\)
= 3 cm
Hence, the radius of each cylinder is 1 cm, 2 cm and 3 cm respectively
The bottom of a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters. What are the dimensions of the pool?
Answers
The dimensions of the pool is 15m by10m
Area and perimeter of rectangleA pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;
lw = 150
2(l+w) = 50
l + w = 25
where
l is the length
w is the width
From the equation 3
l = 25 - w
Substitute into 1
(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0
Factor
w(w-10)-15(w-10) = 0
w = 10 and 15
l = 150/10 = 15
Hence the dimensions of the pool is 15m by10m
Learn more on dimension here: https://brainly.com/question/26740257
#SPJ1
7.
If twenty-one more than a fifth of a number is equal to two times the quantity of
three less than that number, what is the number?
Answers
Answer:
The number is 15.
Step-by-step explanation:
Let n be the number.
\( \frac{1}{5} n + 21 = 2(n - 3)\)
\(n + 105 = 10(n - 3)\)
\(n + 105 = 10n - 30\)
\(9n = 135\)
\(n = 15\)
A car lot has both used and new cars. If 86% of the cars on the lot are new and 45% of the cars are new and have a sunroof, find the probability of randomly choosing a car with a sunroof, given that it is a new car
Answers
Answer:
0.523
Step-by-step explanation:
Let :
New car = N
Sunroof = S
P(N) = 0.86
P(N n S) = 0.45
Recall :
P(A|B) = p(AnB) / p(B)
Therefore ;
P(S|N) = P(SnN) / p(N)
P(S|N) = 0.45 / 0.86
P(S|N) = 0.523
twenty-five automobiles have been brought in for service. fifteen of them need tuneups and ten of them need new brakes. nine cars are chosen at random to be worked on. what is the probability that three of them need new brakes?
Answers
The probability that three of out nine cars need new brakes is 0.294
Combination:
The combination is the process of selecting items from a group of objects where the order of objects does not matter. In simple words, we can say that it is a combination of n things in r times without repetition.
The formula for the combination of 'a' things from the set of n things without replacement is given
ⁿCₐ = n!/a!(n - a)!Here from the given problem,
Number of automobiles = 25
Number of automobiles that need new tune-ups = 15
Number of automobiles that need new brakes = 10
Number of automobiles chosen at time = 9
From above formula
The number of ways of selecting 9 cars from 25 cars
²⁵C₉ = 25!/9!(25 - 9)!
= 25!/9!(16)!
= 2,042,975
The number of ways that can be chosen as 3 out of 9 cars that need breaks
Choosing 3 cars that need breaks from 10 cars = ¹⁰C₃
= 10!/3!(10 - 3)!
= 10!/3!(7)!
= 120
Choosing the remaining 6 cars from the 15 groups of cars that need new tune-ups = ¹⁵C₆
= 15!/6!(15 - 6)!
= 15!/6!(6)!
= 5,005
From above calculations
The number of ways that can be chosen as 3 out of 9 cars that need new breaks = 120 × 5,005
= 600600
As we know that
Probability of event = No of favorable outcomes / total outcomes
The probability that three of them need new brakes
= 600600/2042975
= 0.294
Learn more about Combinations at
brainly.com/question/28720645
#SPJ4
Which of the following are solutions to the inequality below? Select all that apply.
for this 5 ≤ p
p = 4
p = 12
p = 10
p = 8
Answers
Answer:
p=4
Step-by-step explanation:
because 5 is less than or equal to four!
another number grater than five no less than
so the answer is p=4
pls answer quick
this is due in like a few minutes!!
Answers
Answer:
what is population distribution? describe.
Please Help, im stuck
Answers
Answer:
\(6^{9} * 6^{-3}\)
A culture initially contains 400 bacteria. If the number of bacteria doubles every 3 hours, how many bacteria will there be at the end of 15 hours?
Answers
Answer:
Since the number of bacteria doubles every 3 hours, after 3 hours there will be 400 x 2 = 800 bacteria. After 6 hours, there will be 800 x 2 = 1600 bacteria. After 9 hours, there will be 1600 x 2 = 3200 bacteria. After 12 hours, there will be 3200 x 2 = 6400 bacteria. Finally, after 15 hours, there will be 6400 x 2 = 12800 bacteria. Therefore, there will be 12800 bacteria at the end of 15 hours.
Step-by-step explanation:
The ratio of two numbers x and y is 0.5. if y = 10, what is x
Answers
Answer:
5.
Step-by-step explanation:
x/y = 0.5
x/10 = 0.5
x = 10*0.5 = 5.
1). A researcher randomly selects and interviews fifty male and fifty female teachers. i. systematicii. convenienceiii. randomiv. stratifiedv. cluster2). Solve the absolute-value inequality.|8−x|≥5
Answers
The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:
iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.
To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:
Case 1: (8 - x) ≥ 5
To solve this inequality, we have:
8 - x ≥ 5
-x ≥ 5 - 8
-x ≥ -3 (multiplying by -1 and reversing the inequality)
x ≤ 3 (dividing by -1 and reversing the inequality)
Case 2: -(8 - x) ≥ 5
To solve this inequality, we have:
-8 + x ≥ 5
x ≥ 5 + 8
x ≥ 13
Combining the solutions from both cases, we have:
x ≤ 3 or x ≥ 13
So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.
To know more about inequality visit:https://brainly.com/question/30231017
For f(x) = 2x³ - 10x + 3, h(x) = x - 5 and g(x)=2x, find the
following:
a) (f + h)(x)
b) (f - h)(x)
c) (fg)(x)
d) (fh)(x)
e) (f/g)(x)
Answers
The values of the composite functions are
a) (f + h)(x) = 2x³ - 9x - 2b) (f - h)(x) = 2x³ - 11x + 8c) (fg)(x) = 16x³ - 20x + 3d) (fh)(x) = 2(x - 5)³ - 10(x - 5) + 3 e) (f/g)(x) = (2x³ - 10x + 3)/(2x)How to evaluate the composite functionsFrom the question, we have the following functions that can be used in our computation:
f(x) = 2x³ - 10x + 3, h(x) = x - 5 and g(x)=2x
Using the above as a guide, we have the following:
a) (f + h)(x) = 2x³ - 10x + 3 + x - 5 = 2x³ - 9x - 2
b) (f - h)(x) = 2x³ - 10x + 3 - x + 5 = 2x³ - 11x + 8
c) (fg)(x) = f(g(x)) = f(2x) = 2(2x)³ - 10(2x) + 3 = 16x³ - 20x + 3
d) (fh)(x) = f(h(x)) = f(x - 5) = 2(x - 5)³ - 10(x - 5) + 3
e) (f/g)(x) = f(x)/g(x) = (2x³ - 10x + 3)/(2x)
The above are the values of the composite functions
Read more about composite function at
https://brainly.com/question/10687170
#SPJ1
5x-3=11-2x. I gotta
Answers
Answer:
x = 2
Step-by-step explanation:
Add 2x from each side giving you
7x - 3 = 11
Add 3 to each side
7x = 14
Divide by 7
x = 2
Answer:
2
Step-by-step explanation:
5x - 3 = -2x + 11
+3 +3
--------------------------
5x = -2x + 14
+2x +2x
-------------------
7x = 14
/7 /7
--------------
X = 2
A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of people who will respond favorably to the survey?
Enter the correct answers in the boxes.
Least number of people:
Greatest number of people:
BIG POINTS ILL MARK YOU IF THE ANSWER IS RIGHT
Answers
Answer:
Step-by-step explanation:
uhhhhh dhyvcehbcej