The simplified equation from the given 3x + 9 + 4x + x = _x + _ is 8x + 9 = _x + _. This equation cannot be solved further without the values for the variables represented by the underscores.
Explanation:The first step to solving the equation is to simplify it. Your original equation is 3x + 9 + 4x + x = _x + _. When we simplify the left side of the equation by combining like terms we get 8x + 9 = _x + _. However, the variables in the blanks on the right side of equation are unknown, so we can't solve it fully. But now you have a simpler equation to work with, and if you receive any additional information, you can substitute those values into your simplified equation.
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Explain the Subtraction Property of Inequalities.
Answer:Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. -virtualnerd.com
Step-by-step explanation:
The Subtraction Property of Inequalities allows subtracting the same value from both sides of an inequality without altering its direction, a fundamental concept in algebra.
The Subtraction Property of Inequalities states that you can subtract the same value from both sides of an inequality without changing the inequality's direction. This property is essential in solving inequalities and maintaining the inequality relationship.
For example:
If 3 < 7, then subtracting 2 from both sides gives 1 < 5, which still holds true.
Understanding and applying this property correctly is crucial in algebra and helps in solving various mathematical problems.
A city wants to create a garden, According to the plan below... Calculate the area of the garden.
Answer:
178 m²
Step-by-step explanation:
You want to find A - D - B + C
A = 12 * (12 + 4) = 12 * 16 = 192
D = 4 * 8 = 32
B = 4 * 3 / 2 = 12 / 2 = 6
C = 6 * 8 / 2 = 48 / 2 = 24
192 - 32 - 6 + 24 = 160 - 6 + 24 = 154 + 24 = 178
There is an old saying that goes, Every time I go one step forward, I get bumped two steps backward. Taken literally, what would the person's forward prgess be after going through this process 23 times?
16. Which number has the greatest value?
A 9.382
B 9.47
© 9.09
D
9.7
ASAP plssss
Answer:
D. 9.7
Step-by-step explanation:
9.382
9.470
9.090
9.700
Answer:
d. 9.7
Step-by-step explanation:
if you add 0s to each of the answers, itll make sense. For instance:
A. 9.382
B. 9.470
C. 9.090
D. 9.700
Convert dotted decimal IP address into binary. 172.61.35.186
Answer:
10101100.00111101.00100011.10111010
Step-by-step explanation:
The dotted decimal IP address 172.61.35.186 converts to binary as 10101100.00111101.00100011.10111010. Each segment of the IP address is converted separately and reassembled with dots in between the binary segments.
Explanation:To convert a dotted decimal IP address to binary, it is important to understand that each segment of the IP address (divided by dots) is converted separately. Let's take for example the IP address 172.61.35.186.
The first segment is 172. Converted to binary, this becomes 10101100. The second segment is 61. In binary, it is 00111101. The third segment being, 35, turns into 00100011 in binary. Lastly, the fourth segment, 186, is transmuted into 10111010 in binary.
So, the IP address 172.61.35.186, when converted into binary, will be: 10101100.00111101.00100011.10111010.
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Two angles are complementary. If one angle is 4 times larger than other one then what is the measure of the smaller
angle?
Answer:
The smaller angle is 18 degrees
The larger angle is 72 degrees
Step-by-step explanation:
x = smaller angle
y = larger angle
y = 4x ---> one angle is 4 times larger than other one.
y + x = 90 ----> the sum of complementary angles is 90 degrees
4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve
5x = 90
x = 18 ----> the smaller angle is 18 degrees
y = 90 - 18
y = 72 ----> the larger angle is 72 degrees
The smaller angle is 18.
What is the complementary angle?The complementary angle is the angle that adds up to 90 degrees always, so when we say that two angles are complementary it means that the sum of the angle or the combined angle is equal to ninety degrees.
The solution to the problemThe larger angle is 4 times the smaller angle so let the smaller angle be 'x' and the larger angle be 4x.
Hence the sum of both the angle is 90 degrees from the definition of complementary
so 4x+x=90, 5x = 90
dividing the equation by 5
x = 18
Hence the smaller angle is 18 degrees
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how do u solve this.
Answer:x=-36
Step-by-step explanation:
First step: Simplify both sides of the equation by
x=1 ,so you put 1/8 and move x to the side like this 1/8x
Now you got 1/8x+1/2=-4
Step 2: Subtract 1/2 to both sides because it's the smallest constant/number
1/2-1/2=0 and -4-1/2=-9/2
-4 subtracted from 1/2 ,you put a 1 under -4, it would be like this -4/1 subtracted from 1/2
I do the butter-fly method which would be -4*2-1*1 because when you put the fractions like this -4/1-1/2 on paper then you would see why
and you multiply the denominators(bottom), so 1*2=2,and -8-1 equals -9 because -8 is larger than postive 1.
so now we have -9/2
Last step is to multiply by 8 on both sides to get rid of the 8 on the other side(left side) so x will be alone,so 8*-9/2=-36
First you will get -72/2 when you divide it you get -36
7) Katie is baking muffins for a picnic. She can bake 24 muffins in 45 minutes. At this rate, how
many muffins can she bake in 90 minutes and how do you know?
Katie can bake 48 muffins in 90 minutes because 90 minutes is twice 45 minutes, and since she can bake 24 muffins in 45 minutes, double the time means she can bake double the amount of muffins.
Katie is baking muffins at a rate where she can bake 24 muffins in 45 minutes. To determine how many muffins she can bake in 90 minutes, we simply need to set up a proportion and solve for the unknown quantity.
Step-by-Step Solution:
Identify the rate: 24 muffins per 45 minutes.Understand that 90 minutes is twice 45 minutes, so we will have two periods of this duration.Since the rate of baking is consistent, we multiply the number of muffins (24) by the number of 45-minute periods within 90 minutes (which is 2).Calculate the total: 24 muffins per period x 2 periods = 48 muffins.Therefore, Katie can bake 48 muffins in 90 minutes because the duration is double the time it takes to bake the original 24 muffins, hence she can bake twice as many.
Based only on the given information, it is guaranteed that AC = BC.
Answer:
What's the question?
Step-by-step explanation:
Answer: It’s true
Step-by-step explanation:
If you were asking if it’s a true and false then the answer is true.
Which shows the best path to find the number of centimeters in 1 yard?
yards - inches → centimeters
yards feet → centimeters
centimeters feet inches
centimeters feet HELP MEEEE
Step-by-step explanation:
1 yard equal to 91.44 centimeters (cm)
You’re working in the sedan section of dean’s car dealership. A customer makes a down payment of 15% on a new car that costs $13,450. How much is the down payment?
Answer:
Convert 15 % to a decimal.
Then multiply 0.15 x 13450. That means the answer is $2,017.50
Please mark brainliest if this helped.
The down payment for the car is $2,017.50.
Explanation:The down payment can be found by multiplying the cost of the car by the percentage of the down payment. In this case, the down payment is calculated as follows:
Down payment = $13,450 * 15%
Thus, the down payment is $2,017.50.
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One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555, find the numbers.
Answer:
167
Step-by-step explanation:
Let n be your first number. Then the second number is 5n; and the third number is n+100. So:
n+5n+n+100=569
Final answer:
The three numbers in question are 65, 325, and 165, found by setting up an equation based on the given relationships and solving for the first number.
Explanation:
Finding the Three Numbers
Let's denote the first number as x. According to the problem, the second number is 5 times the first number, which can be written as 5x. The third number is 100 more than the first number and can be represented as x + 100. The sum of these three numbers equals 555, so we can set up the following equation to solve for x:
x + 5x + (x + 100) = 555
Combining like terms, we get:
7x + 100 = 555
Subtracting 100 from both sides gives us:
7x = 455
Now divide both sides by 7:
x = 65
The first number is 65. Using this value, we can find the second number:
5x = 5 × 65 = 325
And the third number:
x + 100 = 65 + 100 = 165
Therefore, the three numbers are 65, 325, and 165.
Spiral Review (Reviews 2.6.1, 2.G.3; 3.0A.9)
3. What property describes the number
sentence?
4.
6 +0=6
Answer:
The Identity Property
Step-by-step explanation:
the Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero
a certain fish can swim 6 1/2 times faster than a person. if a person can swim 5 4/7 miles per hour, how fast can the fish swim?
Answer: 36 3/14 miles per hour
Step-by-step explanation:
multiply the speed of a human (5 4/7) by 6 1/2 or 6.5 and you get your answer
To find the fish's speed, convert the mixed numbers 5 4/7 and 6 1/2 to improper fractions and multiply them. The result, 507/14, converts back to a mixed number as approximately 36.21 miles per hour.
Explanation:To solve this question, we need to multiply the person's swimming speed with the mentioned relative speed of the fish. A person can swim at a speed of 5 4/7 miles per hour, and since the fish can swim 6 1/2 times faster, we multiply 5 4/7 by 6 1/2.
The first step is to convert these mixed numbers to improper fractions. 5 4/7 becomes 39/7 and 6 1/2 becomes 13/2.
Multiplication of fractions involves multiplying the numerators together to get the new numerator and the denominators together to get the new denominator. So the multiplication (39/7)*(13/2) leads to a result of 507/14.
This can be now converted back to a mixed number, giving us an approximate answer of 36.21. Therefore, the fish swims at a speed of approximately 36.21 miles per hour.
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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by the equation h = -16t² + 64t + 3. Determine how long it will take for the ball to hit the ground. Round your answer to the nearest hundredth... Please help .. It is due tomorrow
Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have
[tex]h=-16t^{2}+64t+3[/tex]
This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0
[tex]-16t^{2}+64t+3=0[/tex]
The formula to solve a quadratic equation of the form
[tex]at^{2} +bt+c=0[/tex] is equal to
[tex]t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]-16t^{2}+64t+3=0[/tex]
so
[tex]a=-16\\b=64\\c=3[/tex]
substitute in the formula
[tex]t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}[/tex]
[tex]t=\frac{-64(+/-)\sqrt{4,288}} {-32}[/tex]
[tex]t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec[/tex] ---> the time cannot be a negative number
[tex]t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec[/tex]
therefore
The ball will take 4.05 seconds to hit the ground.
I need to find the distance between pairs of integers like 8 and 32; 15 and 64; and -27 and 18. How do I do this?
Answer:
i believe you have to divide 8 by each number to get the distance between the pairs of integers.
Step-by-step explanation:
Draw a diagram that shows 0.27+0.23= 1/2
Answer:
The required diagram is shown below:
Step-by-step explanation:
Consider the provided expression.
0.27+0.23= 1/2
We can draw the model of the provided expression.
Step 1: Shade 27 boxes out of 100 boxes,
This will show 0.27
Step 2: Shade 23 more boxes with another color.
This will show 0.23.
The total shaded boxes are 27+23=50.
Which represents 0.27 + 0.23 = 1/2 (1/2=0.50)
The required diagram is shown below:
To visually show the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], see the diagram attached.
What is the diagramTo represent the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], follow the steps:
1. Draw a horizontal line to represent the number line.
2. Label the line with points 0, 0.2, 0.4, 0.6, 0.8, and 1.
3. Mark a point at 0.27, slightly past the midpoint between 0.2 and 0.4.
4. Mark another point at 0.23, slightly before the midpoint of 0.2 and 0.4.
5. Draw a vertical line connecting these two points to represent their sum.
6. Label the top of this line with "0.27 + 0.23."
7. Draw a horizontal line segment from the vertical line's top point to the middle of the line, intersecting at the value 0.5.
8. Label this intersection point as [tex]"\(\frac{1}{2}\)"[/tex] to show that [tex]\(0.27 + 0.23\)[/tex]indeed equals[tex]\(\frac{1}{2}\).[/tex]
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i need help with the work
Answer:
Step-by-step explanation:
you can read 52 pages per hour. You read for an hour and half. How many pages have you read? You must read 130 pages for homework. Can you complete the assignment in two hours? Explain your reasoning
Answer:
52*2=104
no you cannot complete the homework under two hours
Step-by-step explanation:
since 52*2 is only 104, and you need 130 pages to complete it, i would say that you can't complete the homework under two hours
PLEASEEE HELP THANK YOU!
Answer:
Hi Sophia! The answer is the option 3!
Step-by-step explanation:
Check the picture!
least to greatest 2/3, 3/5, 13/15, 2/5
Answer: 2/5 3/5 2/3 13/15
Step-by-step explanation:
2/3, 3/5, 13/15, 2/5
The least common denominator is: 15.
Rewriting as equivalent fractions with the LCD:
10/15, 9/15, 13/15, 6/15
Ordering these fractions by the numerator in order from least to greatest:
6/15 < 9/15 < 10/15 < 13/15
Therefore, your input in order from least to greatest is:
2/5 < 3/5 < 2/3 < 13/15
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 12, 24, 36, 48, 60, 72. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 1, 12. The second straight line joins 1,12 and 2,12 and the third straight line joins ordered pair 2,12 with the ordered pair 5,36.
Which of the following best describes the motion of the car shown?
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
Answer:
It travels for 1 h, then stops for 1 h, and finally travels again for 3 h.
Step-by-step explanation:
The sloped parts of the graph are where the car is moving.
For example, in the first hour the distance travelled changes from zero to 12 mi.
The horizontal part of the graph is where the car is stopped.
For example, between hours 1 and 2, the distance travelled stays the same at 12 mi.
The car travels for 1 h, then stops for 1 h, and finally travels again for 3 h.
find the area of a circle with a circumference of 37.68 units
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=37.68 \end{cases}\implies 37.68=2\pi r\implies \cfrac{37.68}{2\pi }=r \\\\\\ \stackrel{assuming~\pi =3.14}{\cfrac{37.68}{2(3.14)}}=r\implies \boxed{6=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6)^2\implies A=36\pi \implies A\approx 113.10[/tex]
Malik collects rare stamps and has a total of 212 stamps. Solve the system of equations.
He has 34 more domestic stamps than foreign stamps. How many foreign stamps does Malik have?
Let x represent the number of domestic stamps and let y
represent the number of foreign stamps.
foreign stamps
This system of equations models the given information
for both stamp types.
How many domestic stamps does Malik have?
x-y = 34
domestic stamps
x + y = 212
Using the two given equations:
x - y = 34
x +y = 212
Rewrite the first one in terms of x:
x = 34 + y
Now replace x in the 2nd equation:
34 + y + y = 212
Simplify:
34 +2y = 212
Subtract 34 from both sides:
2y = 178
Divide both sides by 2:
y = 178/2
y = 89
Now replace y in an equation to solve for x:
x + 89 = 212
x = 212-89
x = 123
He has 123 domestic stamps and 89 foreign stamps.
Malik has 123 domestic stamps and 89 foreign stamps
The equations are given as:
[tex]x - y = 34[/tex]
[tex]x + y = 212[/tex]
Make x the subject in [tex]x - y = 34[/tex]
[tex]x =34 + y[/tex]
Substitute 34 + y for x in [tex]x + y = 212[/tex]
[tex]34 + y + y = 212[/tex]
Evaluate like terms
[tex]34 + 2y = 212[/tex]
Subtract 34 from both sides
[tex]2y = 178[/tex]
Divide both sides by 2
[tex]y = 89[/tex]
Substitute 89 for y in [tex]x =34 + y[/tex]
[tex]x = 34 + 89[/tex]
[tex]x = 123[/tex]
Hence, Malik has 123 domestic stamps and 89 foreign stamps
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Determine the next term in the sequence: 4, 8, 12, ...
Answer:
Step-by-step explanation:
Are you asking for a pattern? The answer is 16
4+4=8
8+4=12
12+4=16
The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has broader use in mathematics for example sum of natural numbers.
As per the given sequence,
4,8,12,..
Now, 8 - 4 = 4
12 - 8 = 4
Since the common difference is the same thus it will be an arithmetic expression.
The nth term of AP is given as,
a(n) = a + (n - 1)d
Here, a is the first term, and d is a common difference.
The fourth term of the given sequence is,
a(4) = 4 + (4 - 1)4
⇒ 4 + 12 = 16
Hence "The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16".
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Help me please , I don’t seem to get the right answer when I do the check up point
14/49 in lowest terms ?
Answer: 2/7
Step-by-step explanation: To simplify the fraction 14/49, we need to find the greatest common factor of 49 and 7 and we can divide our fraction by it.
In this case, the greatest common factor of 14 and 49 is 7 so we can divide both our numerator and denominator by 7.
Therefore, 14/49 as a simplified fraction is 2/7.
Image provided.
Please help very confused
Answer:
x = -8
QR = 6
PR = 9
Step-by-step explanation:
Alrighty, this one has a lot of steps. We have to think about this logically.
The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.
The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.
PR = PQ + QR
x + 17 = 3 + 2x + 22
17 - 3 - 22 = 2x - x
-8 = x
so x = -8
Now we can use that x and plug it into the other two formulas:
QR = 2x + 22
QR = 2(-8) + 22
QR = -16 + 22
QR = 6
And now we plug x into PR:
PR = x + 17
PR = -8 + 17
PR = 9
Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:
PR = 3 + QR
PR = 3 + 6
PR = 9
A number of b divided by -3 is greater than or equal to 6
Answer: b ≤ -18
Step-by-step explanation:
Isolate the variable by multiplying both sides by -3. Remember that when you multiply or divide by a negativem the symbol flips.
[tex]\dfrac{b}{-3}\geq6\\\\\\\dfrac{b}{-3}(-3)\geq6(-3)\\\\\\\large\boxed{b\leq-18}[/tex]
A phone company uses the equation y = 0.15x + 10 to find y, the monthly charge for a customer sending x text
messages. How many text messages are sent if the monthly charge is $77.50?
Hey!
---------------------------------------
Solution:
77.50 = 0.15x + 10
77.50 - 10 + 0.15x + 10 - 10
67.50 = 0.15x
0.15x = 67.50
0.15x/0.15 = 67.50/0.015
x = 450
---------------------------------------
Check:
77.50 = 0.15(450) + 10
77.50 = 67.50 + 10
77.50 = 77.50
---------------------------------------
Answer:
450 text messages can be sent when the monthly charge is $77.50!
---------------------------------------
Hope This Helped! Good Luck!