The number of solution the equation 4x - 5 (2x + 1) = 6x + 1 have is one.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
4x - 5 (2x + 1) = 6x + 1
4x - 10x - 5 = 6x + 1
-6x - 5 = 6x + 1
-5 - 1 = 6x + 6x
-6 = 12x
x = -6/12
x = -1/2
This means,
The equation has one solution.
Thus,
The equation has one solution.
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Solve the system of linear equations by elimination. Check your solutions.
-5x + 3y = -6
9x - 4y = 1
We can divide both sides of the equation by 43 to solve for x:
90x / 43 - 47y / 43 = -49 / 43
x = -49/43
We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:
-5x + 3y = -6
(-5 * -49/43) + 3y = -6
y = (-6 + 5 * 49/43) / 3
y = 17/43
The solution to the system of equations is (x, y) = (-49/43, 17/43).
To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.
In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:
(-5 * -49/43) + (3 * 17/43) = -6
This simplifies to -6 = -6, which is true, so the solution holds for this equation.
In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:
(9 * -49/43) - (4 * 17/43) = 1
This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.
Therefore, the solution (x, y) = (-49/43, 17/43) is correct.
find rate of change AND initial value
Answer: (1,2) and or (-1.-2)
Step-by-step explanation:
if you look at the graph and go to a point that is on a corner of a square like (0.-4) you count all the squares tell you hit the next point just like the last
Julia's service charge at the salon was $72.60. If she added 20% for tip, how much did she pay total for her service at the salon?
well, is just that much plus the 20%, hmmm what's 20% of 72.60 anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 72.60}}{\left( \cfrac{20}{100} \right)72.60}\implies 14.52~\hfill \underset{total~pay}{\stackrel{72.60~~ + ~~14.52}{\text{\LARGE 87.12}}}[/tex]
I'm super confused about this
Select all ratios equivalent to 1:3 A. 9:21 B. 5:15 C. 4:12
4x-5(2x+1)=6x+1. how many solution will this have? is this right
Can I please have help
Write a decimal ;twenty three hundredths
Answer:
0.23
Step-by-step explanation:
i know math
CREATE THE TABLE
a. you bring 200 cookies to a party. Let n represent the number of people at the party and c represent the number of cookies each person receives
b. you work at a restaurant for 20 hours. let r represent your hourly pay rate and p represent the total amount you earn
c. you are going on a 240-mile trip. Let t represent the number of hours driving and s represent the speed of the car
The expression for the following statements are,
a. c = 200/n.
b. p = 20r.
c. s×t = 240.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
a. From the information given the numerical form of the statement is,
c = 200/n.
b. From the information given the numerical form of the statement is,
p = 20r.
c. From the information given the numerical form of the statement is,
s×t = 240.
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The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 24 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 24 miles.
They will walk 15 laps and run 9 laps for a total of 24 miles.
They will walk 9 laps and run 15 laps for a total of 24 miles.
They will walk 6 laps and run 18 laps for a total of 24 miles.
Answer: it was just the number of the 2 positive for the following number
Select all ratios equivalent to 30:14 A. 6:4 B. 21:7 C. 60:28
Answer:
c
Step-by-step explanation:
30:14 The division isn’t proportional. 30/5 is 6 but 14/5 is not 4.
6.4
—————
30:14 Same here as above just now the 14 is proportional just not the 21.
21:7
—————
30:14 Finally! The 2nd ratio is twice the first!
60:28
Answer: hope this helps ♡
C. 60:28
Step-by-step explanation:
30:14
A. 6:4 → 30 ÷ 6 = 5 & 14 ÷ 4 = 3.5 (the answers aren't equal) 30:14 ≠ 6:4
B. 21:7 → 30 ÷ 21 = 1.4 & 14 ÷ 7 = 2 (the answers aren't equal) 30:14 ≠ 6:4
C. 60:28 → 30÷60 =0.5 & 14÷28 = 0.5 (the answers are equal) 30:14 = 60:28
Hallie and Mattie donated blue jeans to the clothing drive. Hallie donated 4 pairs of blue jeans. Mattie donated 6 pairs of blue jeans. Write a ratio to represent the relationship between Hallie's donation of jeans and Mattie's donation of jeans.
Answer:
2:3
Step-by-step explanation:
Hallie's Donation : Mattie's Donation = 4:6
simplified, it is 2:3
i needd help with this answer
this is an 10 points but it gon say 50 bc yall are spliting
Answer:
we 10 points because you are vb and your classmate have 50 point because their bright
Answer:
I think it's A.
Step-by-step explanation:
Spheres have no faces, sides, or verticles. this saying/fact is from a website https://flexbooks.ck12.org/cbook/ck-12-middle-school-math-concepts-grade-7/section/10.1/primary/lesson/classification-of-solid-figures-msm7/#:~:text=A%20sphere%20is%20a%20solid%20figure%20that%20has,has%20one%20face%2C%20but%20no%20edges%20or%20vertices.
Find the quotient. 3 ÷ 2/5
Answer:
7 1/2
Step-by-step explanation:
Keep Change Flip
3 x 5/2
=15/2
=7 1/2
Hope this helps :)
On monday, your bank account balance was -$12.58. Because you didn't realize this, you wrote a check for $30.72 for groceries. a) What is the new balance in your checking account? b) The bank charges a $25 fee for playing a check on a negative balance. What is the balance in your checking account after this fee? c) How much money do you need to deposit to bring your account balance back up to $0 after the fee?
Answer:
a) The new balance in your checking account is -$12.58 - $30.72 = -$43.30.
b) After the bank charges a $25 fee for overdrafting, the balance in your checking account will be -$43.30 - $25 = -$68.30.
c) To bring your account balance back up to $0 after the fee, you will need to deposit $68.30.
Step-by-step explanation:
Answer:
First, you subtract the 30.72 from the -12.58 which is -43.03 which is therefore how much you have in your account. Then we subtract another 25 for the fee. -68.03 Is how much you have after paying the fee.
Therefore, to get to 0, you need to pay 68 dollars and 3 cents.
Step-by-step explanation:
The chalk circle around the pitcher's mound has a diameter of 16 ft. What is the area of the pitcher's circle?
Answer:
The area is approximately 201.06
Step-by-step explanation:
If you use the equation pi r^2, then we will get the answer. Since the diameter is double the radius, we should know that the radius is 8ft. Then we do the math and get the answer above.
Answer: A≈201.06ft²
Step-by-step explanation:
How to Calculate Diameter?
Diameter = Circumference ÷ π (when the circumference is given)
Diameter = 2 × Radius (when the radius is given)
Diameter = 2√[Area/π] (when the area is given)
Find the lower quartile and upper quartile of the data set. 10, 11, 13,18,19,21,22,25,27,30,32
The lower quartile value is 13 and the upper quartile value is 27.
What is a Quartile?
A quartile divides the data set into four equal halves, that is, each set has an equal number of terms. The quartiles are given by Q₁(the lower quartile value), Q₂ (the median), Q₃ (the upper quartile value).
We first arrange the data set in ascending order. Here, the data set is already in ascending order, that is, 10,11,13,18,19,21,22,25,27,30,32.
So we will divide the above set into two equal halves. As the given set has 11 terms,
So the median is [tex]\frac{n+1}{2}[/tex] where n is the number of terms.
We have n=11
⇒ Median= [tex]\frac{11+1}{2}[/tex] th term
= 6th term
⇒ Median= 21
Now the data to the left side of the median value will give the lower quartile and the data to the right will give the upper quartile.
The data to the left of median value 21 is 10,11,13,18,19.
The median value of this data will give the lower quartile value.
Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term
=13
⇒Lower quartile is 13.
The data to the right of the median value 21 is 22,25,27,30,32
The median value of this data will give the upper quartile value.
Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term
= 27
⇒Upper quartile is 27.
The correct answer is lower quartile= 13, upper quartile = 27
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Football team needs to gain 10 yards to score touchdown. On the first play the team gained 7 yards. on the second play they were penalized and lost 5 yards on the. third play they gained 2 yards. how many more yards must they gain on the forth play in order to score?
A. 2 yards
B. 4 yards
C. 6 yards
D. 8 yards
PLEASE HELP
Answer:
Step-by-step explanation:
Out of a class with 25 students, 24 of them returned their permission slips to go on the field trip. what percentage of the students returned their permission slips>
Answer: 96%
Step-by-step explanation: 24/25= 0.96
Can I please have help
plsss help meee i need my grade to go up
Answer:
First column:
E: 35
i :51
A: 168
Y: 18
T: 140
E: 7
P: 19
Step-by-step explanation:
I used order of operations / PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction), and plugged in the values for a, b, n, and m. For letter E, add and subtract the values first then divide, it's easier. That's all I got for now. I'll solve the rest and answer as soon as possible. :)
Can anyone help out with this?
Answer:
Step-by-step explanation:
88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
Answer:
The total number of students in the student body is 110. The part is 88 students, the whole is 110 students, and the percent is 80%.
Step-by-step explanation:
Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much greater than 1
Answer: d
Step-by-step explanation:
it’s common sense add the 1 take ur cat to dinner and lake house horse shoe
A right triangle has one leg with a length of 5 units. The hypotenuse is 30 units long. What is the length of the other leg?
A. 5 Units
B. 25 Units
C. V 875
D. V 375
Answer: C. [tex]\sqrt{875[/tex]
Step-by-step explanation:
use Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex]
a=5 c=30 solve for b
[tex]25+b^2=900[/tex]
subtract 25 from both sides to get [tex]b^2 =875[/tex]
then square both sides to get [tex]\sqrt{875[/tex] for the length of the other leg
how can you use a mental math and the inverse property of addition to find the sum [5.5 + (-2.3)] + (-5.5 + 2.3)?
Answer: it is 0
Step-by-step explanation:
[5.5+(-2.3)] + (-5.5+2.3)
We can multiple (-5.5+2.3) by -1 so that it equals the first expression
[5.5+(-2.3)] + (-1)[5.5+(-2.3)]
Then, we change the + to -
[5.5+(-2.3)] - [5.5+(-2.3)]
since we are subtracting the same value, the answer is 0.
Garth sells baseball caps outside the stadium. The graph shows the number of caps sold and the income from the sales. It represents a linear function.
Which statement best describes Garth's income from selling these caps?
A. He gets $5.00 per cap.
B. He gets $25.00 per cap.
C. He gets $34.00 per cap.
D. He gets $12.00 per cap.
7y+5z-2y+z
grade 7 math
Answer:
Step-by-step explanation:
7y+5z-2y+z
Group the two y and the two z together
7y-2y = 5y
5z+z= 6z
(a variable with out a number is = to 1)
so it would be 5y+6z
Hope this helps
29 POINTS TO WHOEVER GETS THIS RIGHT
What is the value of the expression below when w=7 and x=5
3w + 10x
Answer:
3 × 7 = 21
10 × 5 = 50
21 + 50 = 71
Therefore, the answer is 71.
Answer:
41
Step-by-step explanation:
Find all the solutions to z^4 = -4 in complex numbers.
The complex numbers should be a+bi, where a and b are real
Answer:
z = 1 - i
z = 1+i
z = -1 - i
z = -1 + i
Step-by-step explanation:
I think?