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.
-p-11+13
grade 7 math
Answer:
-p + 2
Step-by-step explanation:
Given:
-p - 11 + 13
Question:
Simplify
Work:
Simply just combine like terms
-p - 11 + 13
-p + 2
Solution:
-p + 2
Hope this helped! :D
Answer:-p+
Step-by-step explanation:
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
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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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
what are three ratios that are equivalent to 7:9
On a drawing, the scale is 1 centimeter to 30 centimeters. Which of the following is not correct?
A actual length = 330 cm; drawing length = 11 cm
B drawing length = 8 cm; actual length = 240 cm
C actual length = 150 cm; drawing length = 5 cm
D drawing length = 7 cm; actual length = 200 cm
Answer:
B
Step-by-step explanation:
is this right hurryyyyyyyyyy please
Answer:
its wrong
Step-by-step explanation:
cause first of all i have no i dea second of all it looks to hard for me
Gordon types 3,136 words in 49 minutes. Find the unit rate.
Answer: Gordon types 64 words per minute.
Step-by-step explanation: Because Gordon is typing 3,136 words in 49 minutes, you would divide the words by the minutes. 3,136 ÷ 49 = 64. So, the units would be 64 words per minute.
Mrs. Mendez held a reading contest in
her third-grade class. The students read
160 books. The girls read 84 books.
What percent of the books did the boys
read?
Answer:
47.5 percent is correct
Step-by-step explanation:
Select the correct answer.
Each unit on the graph is equal to 1 block. How many blocks does Ben need to walk from his house to reach the supermarket?
A 4 blocks
B 5 blocks
C 7 blocks
D 9 blocks
A box 2 m by 4 m by 8 m is filled with cubes of volume 8 cm³. If these
cubes were lined up, how long a line would that be?
The total line length of cubes lined up would be approximately 1.6 x 10^7 cm.
To find the total line length of cubes lined up, we need to find the total number of cubes in the box and then multiply it by the side length of a cube.
We can find the total number of cubes in the box by dividing the volume of the box by the volume of a cube:
Volume of the box = 2 m * 4 m * 8 m = 64 m³
Volume of a cube = 8 cm³ = 8 x 10^-6 m³ (converting the cm³ to m³)
Number of cubes = 64 m³ / 8 x 10^-6 m³ = 8 x 10^6
Then we can multiply the total number of cubes with the side length of a cube to find the total line length of cubes lined up :
Therefore, Line Length = 8 x 10^6 * 8 cm
= 6.4 x 10^7 cm
= 1.6 x 10^7 cm.
Learn more about arithmetic at,
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Sam spends $125 to buy 6 pairs of shoes. What is the cost per pair of shoes? Round to the nearest hundredth if necessary.
Similar figures review
Answer:
#5 = option a (129.38 miles):
We are told that the cities are 17.25 inches apart, and that 2 inches equal 15 miles. First we have to divide 17.25 inches by 2 we end up with 8.62500 inches (not simplified yet). Next, we just take 8.62500 inches and multiply that with 15, which leaves us with 129.37500 inches. Then we just round that to the nearest hundredth which will give us 129.38 inches which means 129.38 miles as well!
#2 = option a (2.4 inches)
We know that bigger rectangle's length is 16 inch and that smaller rectangle's length is 3.2 inches. We just have to calculate the decrease of the length and we do that by dividing. We have to do 16 inches divided by 3.2 inches which equals 5. (You can double check that by multiplying 3.2 inches by 5 which would equal 16 inches) Now to find the width of the smaller rectangle, we just have to divide the width of the bigger rectangle, which is 12 inches, by 5 which would give us 2.4 inches!
#4 = ?
#6 = option c (7.2cm)
So basically I just did 25cm divided by 10cm which equals 2.5cm. (You can also do 25cm divided by 2.5cm to get 10cm if you want to double check). Then I just did 18cm divided by 2.5 cm which led me to the answer 7.2cm)
#3 = ?
Answer: A
Step-by-step explanation: 17.25/2=8.652
8.652*15=129...
rounded it would be equivalent to answer choice A.
I need the answers to all of them please :(
Answer:
2) 0.081
3) 0.741
4) 71.3
5) 0.0422
6) 79.9971
7) 0.00265
8)0.0935
Answer:
1 - 89.974
2 - 0.081
3 - 0.741
4 - 71.3
5 - 0.0422
6 - 79.9971
7 - 0.00265
8 - 0.0935
Can anyone help with this, its the last question lol
Answer:
30
Step-by-step explanation:
5 x 6 = 30
Brand A has a pack of 28 pencils for $4.19. Round to the nearest tenth
Answer:
4.20
Step-by-step explanation:
"1" is in the tenths place, so we look at nine to see if its bigger or smaller than 5, it is so we round up to .20 giving us 4.20
(I also feel this isnt the whole question, but this is the answer for this part anyway.)
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:
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)
Make a the subject of the formula:
2a+9b=4c
Answer: 9b-4c=2a
Change from addition to subtraction problem to make 2a the answer.
Loren and Julie have different part time jobs after school. They are both paid at a constant rate of dollars per hour. The table below show Loren and Julie's total income (amount earned) for working a given amount of time.
Find the missing values in the Loren's tables above.
Separate answers by coma.Find the missing values in the Loren's tables above.
Answer:
Step-by-step explanation:
Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.
Given
Loren and Julie have different part-time jobs after school.
They are both paid at a constant rate of dollars per hour.
The income of Julie is $36 in 3 hours.
For 1 hour, Julie earns $12.
Thus the rate of Julie is $12 per hour.
For the 16 hours, Julie's income will be.
Julie's income for 16 hours = 12 x 16
Julie's income for 16 hours = $192
Julie's income for 16 hours is $192.
Julie takes time to earn $228 will be
Thus, Julie takes only 24 hours to earn $288.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The coordinate plane shows the positions of different places in a town. Each unit on the graph is equal to 1 block. Match the paths with their distances.
13 blocks
9 blocks
7 blocks
16 blocks
10 blocks
from school to the supermarket
from the park to the supermarket
to the baseball field
from home to the baseball field
from home to the park
to the supermarket
Answer:
a) 7 blocks
b) 16
c) 10
d) 13
A four-part spinner is spun once.
spinner with four parts labeled W, X, Y, and Z
List the sample space for the experiment.
S = {X, Y, Z}
S = {W, Z, Z}
S = {W, Y, Y, Z}
S = {W, X, Y, Z}
Answer:
the probability of each letter to be chosen is 1/4%.
S= {W, X, Y, Z}
Step-by-step explanation:
Jill and Beth are sisters. Jill is 1⁄3 of Beth’s age. Let b represent Beth's age. Write an algebraic expression to show Jill’s age.
You eat c candy bars at the movies. Your friend eats two candy bars fewer than you eat. Write an expression that describes the number of candy bars your friend eats.
The number of coffee shops on Main Street is four less than three times the number of coffee shops, on 3rd Avenue. Which expression can be used to determine the number of coffee shops on Main Street?
Arlin ran a certain number of miles, m. Liam ran 4 times the sum of m and 5. Write 2 equivalent expressions to show how many miles Liam ran.
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 :)
In each equation, select an operation to make the equation true by making the operation happen where the question mark appears.
PLEASE HELP ME
Is y = 6x - 4 proportional
I'm super confused about this
Which point is a solution to the system of linear equations?
y = −x + 4
x − 3y = 12?
A: (0, 3)
B: (1, 2)
C: (6, −2)
D: (4, −4)
what is 3/4 times (4,4) also what is 3/4 times (8,4)
Answer:
1. (3,3)
2. (6,3)
Step-by-step explanation:
1. [tex]\frac{3}{4}[/tex] × (4,4)
step 1. divide by the denominator
4 ÷ 4 = 1
step 2. multiply by the numerator
1 × 3 = 3
2. [tex]\frac{3}{4}[/tex] × (8,4)
step 1. divide by the denominator
8 ÷ 4 = 2
step 2. multiply by the numerator
2 × 3 = 6
Hope this helps! ( * ^▽^)/