Answers
Answer:
2a² - 2b - 1
Step-by-step explanation:
Given
- 5 + b + 2a² - 3b + 4 ← collect like terms
= 2a² + (b - 3b) + (- 5 + 4)
= 2a² + (- 2b) + (- 1)
= 2a² - 2b - 1
Related Questions
12-2/3x=x-18 so how do you answer this question
Answers
Answer:
x=18
Step-by-step explanation:
12-2/3x=x-18
12-2/3x-x=-18
12-2/3x-3/3x=-18
12-5/3x=-18
5/3x=12-(-18)
5/3x=12+18
5/3x=30
x=30/(5/3)
x=(30/1)(3/5)
x=90/5
x=18
Answer:
x = 18Step-by-step explanation:
[tex]12-\dfrac{2}{3}x=x-18\qquad\text{subtract 12 from both sides}\\\\12-12-\dfrac{2}{3}x=x-18-12\\\\-\dfrac{2}{3}x=x-30\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\left(-\dfrac{2}{3\!\!\!\!\diagup_1}x\right)=3\cdot x-3\cdot30\\\\-2x=3x-90\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-2x-3x=3x-3x-90\\\\-5x=-90\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5x}{-5}=\dfrac{-90}{-5}\\\\x=18[/tex]
Which number line shows the solution set for |h-3|>5
Answers
Final answer:
The solution set for |h-3|>5 is h > 8 and h < -2, which on a number line is all values to the right of 8 and to the left of -2, with open circles at -2 and 8.
Explanation:
The question requires us to find the solution set for the inequality |h-3|>5 on a number line. To solve an absolute value inequality, we split the problem into two separate inequalities based on the definition of absolute value:
For h - 3 > 5, we add 3 to both sides to get h > 8.For h - 3 < -5, we again add 3 to both sides, which gives h < -2.
Therefore, the solution set on the number line includes all values to the right of 8 and all values to the left of -2. Remember, these are not included in the solution set because the inequality is strict (>). This means we use open circles or unshaded dots to represent -2 and 8, and shade the number line to the right of 8 and to the left of -2.
write an expression for the sequence of operations described below. add s to t, add the result to r, then raise what you have to the 7th power
Answers
Answer:
[tex](s+t+r)^7[/tex]
Step-by-step explanation:
Sequential Operations
Mathematical operations can be done in sequence or in batches if they are of the same type. For example, we can add many terms in one single operation, but we cannot add and multiply in one go, because there are priorities when dealing with products and sums. Same happens with powers.
In our problem we are required to perform a sequence of operations like follows
Add s to t:
[tex]s+t[/tex]
Add the result to r
[tex]s+t+r[/tex]
Raise what you have to the 7th power
[tex]\boxed{(s+t+r)^7}[/tex]
This is the final result
ILL GIVE BRAINLEST AND POINTS
Answers
Answer:
P'(2, - 2 )
Step-by-step explanation:
The translation rule
(x, y ) → (x + 9, y - 3 )
Means add 9 to the original x- coordinate and subtract 3 from the original y- coordinate, thus
P(- 7, 1 ) → P'(- 7 + 9, 1 - 3 ) → P'(2, - 2 )
Answer:
2,-2
Step-by-step explanation:
Please help me on these two questions
Answers
[tex]\bf \begin{array}{|ll|ll} \cline{1-2} bridge&\stackrel{tons}{materials}\\ \cline{1-2} concrete&1,000\\ \textit{steel structure} & 400\\ \textit{glass and granite}&200\\ \cline{1-2} \end{array}\qquad \qquad \stackrel{~\hfill \textit{total weight}}{1000+400+200=1600} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \cfrac{\stackrel{\textit{steel structure}}{400}}{\underset{\textit{total weight}}{1600}}\implies \stackrel{\textit{simplified}}{\cfrac{1}{4}}~\hfill \cfrac{\stackrel{\textit{glass and granite}}{200}}{\underset{\textit{total weight}}{1600}}\implies \stackrel{\textit{simplified}}{\cfrac{1}{8}}[/tex]
An overweight dog is put on a special diet. use the table to determine the dogs average weight change per week.
TABLE: the week number
1,2,3,4,5
the weight change[oz]
- 1.5,2.2,-0.8,-1.6,-0.6
Answers
The dog's average weight change per week is -0.46 ounces, meaning that on average, the dog loses 0.46 ounces per week.
Explanation:To determine the dog's average weight change per week, we need to calculate the mean of the weight changes given in the table for weeks 1 through 5. The weights are measured in ounces, and we have the following weight changes: -1.5, 2.2, -0.8, -1.6, -0.6. To find the average, we add up these changes and divide by the number of weeks.
First, we calculate the sum of the weight changes:
Sum = -1.5 + 2.2 + (-0.8) + (-1.6) + (-0.6)
Sum = -2.3 ounces
Now we divide by the number of weeks, which is 5:
Average weight change per week = Sum / Number of weeks
Average weight change per week = -2.3 oz / 5
Average weight change per week = -0.46 ounces per week
Since the average is negative, this means the dog is losing weight on average, each week.
Final answer:
To calculate the average weight change per week for the dog, sum up the total weight change and divide by the number of weeks. The dog's total weight change is -2.3 ounces over 5 weeks, resulting in an average weight loss of -0.46 ounces per week.
Explanation:
The student is asking about calculating the average weight change per week for an overweight dog on a special diet. To find this, we need to sum up all the weight changes and then divide by the number of weeks. The weight changes given in ounces are: -1.5, 2.2, -0.8, -1.6, and -0.6 ounces.
First, let's add up these weight changes: -1.5 + 2.2 - 0.8 - 1.6 - 0.6 = -2.3 ounces over 5 weeks.
Now, let's calculate the average weight change per week: (-2.3 ounces) / (5 weeks) = -0.46 ounces per week.
It's important to note that a negative average indicates the dog is losing weight, which is the goal of the diet. In this case, the dog is losing an average of 0.46 ounces per week.
Write a subtraction story problem for a total of 14.solve it
Answers
A subtraction story problem for a total of 14 could be: Lucy has 17 cookies and she wants to share them with her friend Amanda. If Lucy gives Amanda some cookies and ends up with 14 cookies, how many cookies did Lucy give to Amanda?
Explanation:A subtraction story problem for a total of 14 could be:
Lucy has 17 cookies and she wants to share them with her friend Amanda. If Lucy gives Amanda some cookies and ends up with 14 cookies, how many cookies did Lucy give to Amanda?
To solve this, subtract the cookies Lucy ends up with (14) from the cookies she initially had (17):
17 - 14 = 3
Therefore, Lucy gave Amanda 3 cookies.
a pair of shoes with cost rupees 320 was sold at a loss of 5% what was the selling price if it is sold at profit of 20% find the gain percent if it were sold for Rs360
Answers
Answer:
Please see the answer below:
Step-by-step explanation:
1. Loss 5%
Cost = Rs.320
Loss % = 5% = 0.05
Sale Price = Rs.320 - (Rs.320 x 0.05) = Rs.320 - Rs.16 = Rs.304
2. Profit 20%
Cost = Rs.320
Profit % = 20% = 0.20
Sale Price = Rs.320 + (Rs.320 x 0.2) = Rs.320 + Rs.64 = Rs.384
3. Sold for Rs.360
Cost = Rs.320
Sale Price = Rs.360
Gain % = (Rs.360 - Rs.320) / Rs.320 = Rs.40 / Rs.320 = 0.125
or
Gain % = 12.5%
Answer:
If sold at a loss of 5%, the selling price would be Rupee 304
If sold at a Profit of 20% the selling price would be Rupee 384
Step-by-step explanation:
Cost of shoes = Rupees 320
Loss incurred (5% x 320) = Rupees 16
Price of shoe = (320 - 16) = 304
The selling price if sold at a loss of 5% would be Rupees 304
IF SOLD AT A PROFIT OF 20%
Cost of shoes = Rupees 320
Loss incurred (20% x 320) = Rupees 64
Price of shoe = (320 + 64) = 384
The selling price if sold at a loss of 5% would be Rupees 384
There are 6 students. 2 of them are chosen for the position of president and Vice President. How many ways do we have to choose the students from the 6 students?
Answers
We have 15 ways to chose 2 students for the position of president and Vice President
Solution:
Given that,
There are 6 students. 2 of them are chosen for the position of president and Vice President.
To find: number of ways we have to choose the students from the 6 students
So now we have 6 students, out of which we have to choose 2 students
As we just have to select the students. We can use combinations here.
In combinations, to pick "r" items from "n" items, there will be [tex]^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}[/tex] ways
[tex]^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(n-r) ! r !}[/tex]
Then, here we have to pick 2 out of 6:
Total students = n = 6
students to be selected = r = 2
[tex]\begin{aligned} 6 C_{2} &=\frac{6 !}{(6-2) ! 2 !} \\\\ 6 C_{2} &=\frac{6 !}{4 ! 2 !} \\\\ 6 C_{2} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1 \times 2 \times 1} \\\\ 6 C_{2} &=15 \end{aligned}[/tex]
Thus we have 15 ways to chose 2 students for the position of president and Vice President
Subtract the sum of x2−3xy−y2 and 2x2+5xy−4y2 from 6x2−7xy+8y2
Answers
Answer:
[tex]3x^2-9xy+13y^2[/tex]
Step-by-step explanation:
We begin with : [tex]6x^2-7xy+8y^2-[(x^2-3xy-y^2)+(2x^2+5xy-4y^2)][/tex]
First, let us add the two portions within the brackets. To do this, we need to just combine the like terms
[tex]6x^2-7xy+8y^2-[(x^2-3xy-y^2)+(2x^2+5xy-4y^2)]\\\\6x^2-7xy+8y^2-[3x^2+2xy-5y^2][/tex]
Next, we need to distribute the negative to all the terms within the brackets
[tex]6x^2-7xy+8y^2-[3x^2+2xy-5y^2]\\\\6x^2-7xy+8y^2-3x^2-2xy+5y^2[/tex]
Now we can combine the like terms again
[tex]6x^2-7xy+8y^2-3x^2-2xy+5y^2\\\\3x^2-9xy+13y^2[/tex]
Answer:
Answer in image
Step-by-step explanation:
Answer in image
Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Write and inequality to model the number of weeks,x, that he can withdraw $40 to maintain the minimum balance requirement.
Answers
Answer:
x is less than or equal to 24Step-by-step explanation:
If 1000 divided by 40 equals 25, then you would want to stay under that.
so your next best bet is 24
then we just input our variable and sign
[tex]x \leqslant 24[/tex]
WILL GIVE BRAINLIEST . (06.02) Which of these is the algebraic expression for "eight less than some number?" (3 points) 8 − b b − 8 Fraction 8 over b Fraction b over 8
Answers
Answer: b - 8
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
A motorboat traveling with a current can go 160km in 4 hours. against the current it takes 5 hours to go the same distance. find the speed of motorboat and speed of current
Answers
To find the speed of the motorboat and the current, two equations were set up based on the distances and times provided. The system of equations was solved to find the boat speed to be 36 km/h and the current speed to be 4 km/h.
Explanation:The student is asking a question related to the mathematical concept of relative motion involving a motorboat and a current.
To solve this problem we can set up two equations based on the information given:
With the current: Distance = (Boat Speed + Current Speed) * TimeAgainst the current: Distance = (Boat Speed - Current Speed) * TimeUsing the distances and times provided:
160 km = (Boat Speed + Current Speed) * 4 hours160 km = (Boat Speed - Current Speed) * 5 hoursWe can solve this system of equations to find the values for Boat Speed and Current Speed.
Let the speed of the boat be b and the speed of the current be c. From equation (1), we can express c in terms of b:
c = 40 - b (1)
Substitute c from equation (1) into equation (2):
160 = (b - (40 - b)) * 5
160 = (2b - 40) * 5
160 = 10b - 200
360 = 10b
b = 36 km/h
So the speed of the boat is 36 km/h. Now we can find the speed of the current using equation (1):
c = 40 - b
c = 40 - 36
c = 4 km/h
The speed of the current is 4 km/h.
The largest sandwich ever made weighed 5440 pounds. If everyone on Earth shares the sandwich equally, how much would you get? what fraction of a regular sandwich does this represent?
Answers
There are 7.8 billion people on earth. To find this answer, divide 5440 by 7.8 billion. This is equal (rounded) to 6.97
I attached an image below showing the google calculator with the answer
Hope this helps comment below for more questions :)
Final answer:
If everyone on Earth shared the largest sandwich ever made equally, each person would get approximately 0.00000069 pounds of the sandwich. This represents a fraction of 69/1,000,000,000 of a regular sandwich.
Explanation:
To find out how much each person would get if everyone on Earth shared the largest sandwich ever made equally, we can divide the weight of the sandwich by the population of the Earth. According to the most recent estimates, the population of the Earth is approximately 7.9 billion people.
So, if we divide the weight of the sandwich (5440 pounds) by the population of the Earth (7.9 billion), each person would get approximately 0.00000069 pounds or 0.00000031 kilograms of the sandwich.
To express this as a fraction of a regular sandwich, we need to compare it to the weight of a regular sandwich. Let's say a regular sandwich weighs 1 pound. In that case, the amount each person would get from the largest sandwich ever made represents a fraction of 0.00000069/1 or simply 69/1,000,000,000 of a regular sandwich.
A Gardner plants two trees
Type A is 9 feet tall and grows a rate of 17 inches per year
Type b is 2 feet tall and grows a rate of 24 in per year
Algebraically determine exactly how many years it will take for these trees to be the same height
Answers
Answer:
After 12 yrs the height of both trees type A and type B will be same.
Step-by-step explanation:
Given,
Height of Type A at the time of planting = [tex]9\ ft=9\times12=108\ in[/tex]
Height of Type B at the time of planting = [tex]2\ ft=2\times12=24\ in[/tex]
Let the number of years be 'x'.
After 'x' years height of Type A = [tex]108+17x[/tex]
After 'x' years height of Type B = [tex]24+24x[/tex]
We have to find out the number of years will take for these trees to be the same height.
Now according to question, after 'x' years the height of plant type A and plant type B will be equal.
[tex]108+17x=24+24x[/tex]
Combining the like terms, we get;
[tex]24x-17x=108-24\\\\7x=84\\\\x=\frac{84}{7}=12\ yrs[/tex]
Hence After 12 yrs the height of both trees type A and type B will be same.
Two cars start from the same place driving at the same rate, one heading north and the other heading east. After two hours the car heading north has traveled 150 miles and the car heading east has traveled 100 miles. How far apart are the cars at this time?
A) 111.8 miles
B) 180.3 miles
C) 250 miles
D) 350 miles
Answers
Answer:
B: 180.3
Step-by-step explanation:
A^2 + B^2 = C^2
150^2 + 100 ^2 = 32500
square root of 32500
180.3
The ratio of the number of hours it takes the three pipes A, B and C to fill an olympic pool is 4:9:12. Answer each of the following questions if it is known that the second pipe takes 72 hours to fill the pool.
b
How long would it take to fill the pool if pipes A and C work to fill the pool and pipe B drains the pool at the same rate as it would be filling it?
Answers
Answer:
36 hours
Step-by-step explanation:
Please help The triangles below are similar. Find the value of x. Show all work
Answers
Answer:
Step-by-step explanation:
The ratio is 12/8 or 3/2
So we can use proportions
3/2=x/15
x=22.5
A pair of jeans is regularly $129.99, on sale for $90.99 before tax. What is the percent markdown?
Answers
The percent markdown is 30%
Step-by-step explanation:
Given
Regular price of jeans = r = $129.99
Sale price = s = $90.99
The percent markdown can be given by the formula:
[tex]percent\ markdown = \frac{Markdown}{Regular\ price}*100[/tex]
Where markdown = Regular price - Sale price
So,
[tex]Markdown = r -s\\= 129.99 - 90.99\\=39[/tex]
Putting the values in the formula
[tex]Percent\ Markdown = \frac{39}{129.99} * 100\\=0.300 * 100\\=30\%[/tex]
Hence,
The percent markdown is 30%
Keywords: Percentage, markdown
Learn more about percentage at:
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What is the absolute value of the expression of negative 5X +12 when X equals five
Answers
Answer: 13
Step-by-step explanation:
x = 5
-5 (5) + 12
-25 + 12
-13
abs(-13) = 13
To find absolute value, solve the equation as is and then make the answer positive.
Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply.
As Abigail’s time increases, her distance increases.
As Abigail’s time increases, her distance decreases.
At 2 hours, Abigail has traveled 120 miles.
At 1.5 hours, Abigail has traveled 100 miles.
At 3 hours, Abigail has traveled 180 miles.
Answers
Each hour she drives 60 miles more
2 hours- 60x2=120
3 hours- 60x3= 180
Answer:
1,3,5
Step-by-step explanation:
not 1,3,4
Jill has four bags of marbles there are three red five green to yellow and 6 black marbles in each bag how many marbles does Jill have show how you found the answer...Helppp
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
3 x 4 = 12
5 x 4 = 20
2 x 4 = 8
6 x 4 = 24
12 + 20 + 8 + 24 = 64
She has 64 marbles
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Nyasia spends a total of 7.5 hours playing sports each week. Basketball takes a total of 3.25 hours each week. If she plays sports for 4 days each week, write and solve an inequality that shows the average amount of tie per day she spends on OTHER sports.
Answers
Answer:
The Inequality which shows Amount of time spent on other sports each day is [tex]x\leq \frac{4.25}{4}[/tex].
Nyasia spends approximately 1 hour each day on Other sports.
Step-by-step explanation:
Total number of hours spent on sports each week =7.5 hrs
Time spent on basket ball each week = 3.25 hours
Number of days spent on sports = 4 days.
We need to find amount of time spent on other sports each day.
Let amount of time spent on other sports each day be 'x'.
First we will find amount of time spent on other sports each week.
Amount of time spent on other sports each week can be calculated by Subtracting Total number of hour spent on sports each week minus Time spent on basket ball each week.
Amount of time spent on other sports each week = 7.5 -3.25 = 4.25 hrs.
Now we can say amount of time spent on other sports each day we will less than or equal to Amount of time spent on other sports each week divided by number of days.
Framing in equation form we get;
[tex]x\leq \frac{4.25}{4}[/tex]
Hence The Inequality which shows Amount of time spent on other sports each day is [tex]x\leq \frac{4.25}{4}[/tex].
ON solving the inequality we get;
[tex]x\leq \frac{4.25}{4}\\\\x\leq1.0625\ hrs[/tex].
Hence we can say Nyasia spends approximately 1 hour each day on Other sports.
Measured in a map with a scale of 150 miles per inch, the distance from Chicago to Boston is 4.75. How many miles is it from Chicago to Boston if 1 inch equals 150 miles.
Answers
The actual distance from Chicago to Boston is 712.5 miles.
Step-by-step explanation:
Given,
Scale on map = 150 miles per inch
Distance from Chicago to Boston on map = 4.75 inches
Actual distance = Distance on map * 150 miles
Actual distance = 4.75 * 150
Actual distance = 712.5 miles
The actual distance from Chicago to Boston is 712.5 miles.
Keywords: scale, multiplication
Learn more about multiplication at:
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Dale Rodgers had the following for dinner: 2 pork chops, 1/2 cup broccoli, and one baked potato. How many calories did his meal have? 300 455 430 405
Answers
Answer:
The closest option is C. 430, but of course this estimation depends of the size of the serving, specially for the chops and the potato.
Step-by-step explanation:
Let's calculate the number of calories of this meal:
A. 2 pork chops: We could assume 145 calories in a 3-ounce serving, so we have 145 * 2 = 290
B. 1 baked potato: We could assume 130 in a baked small potato (around 130 grams)
C. 1/2 cup of broccoli: We could assume 15 calories
Then the total estimation of calories is:
290 + 130 + 15 = 435
The closest option is C. 430, but of course this estimation depends of the size of the serving, specially for the chops and the potato.
Answer:
The answer is 430.
Step-by-step explanation:
On the chart given with the question (which was not posted),
2 pork chops = 260 (on the chart the individual pork chop is 130)
1/2 broccoli = 25
1 baked potato = 145
Now you simply add the numbers together!
Hope this helps!
you send out 20,000 emails of 6% are opened of those 9% clicked on the link to register for something of those who clicked on the link 30% complete the registration how many people completed the registration
Answers
Answer:
The answer is 32.
Step-by-step explanation
hope this helps :D
44k5 – 66k4 + 77k3 =
Answers
Jeff is kepping Trace of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6weeks , he weighs 186 pounds. Write and solve a linear equation to find Jeff’s weight after 12 weeks
Answers
The linear equation is y = -2 x + 198
Jeff’s weight after 12 weeks is 174 pounds
Step-by-step explanation:
Jeff is keeping Trace of his weight over several weeks
After 2 weeks, he weighs 194 poundsAfter 6 weeks , he weighs 186 poundsWe need to write a linear equation represents the Jeff’s weight, and find his weight after 12 weeks
The form of the linear equation is y = mx + b, where m is the slope of the line, and b is the y-intercept
The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let y represents Jeff's weight in x weeks
∵ After 2 weeks, he weighs 194 pounds
∴ [tex](x_{1},y_{1})[/tex] = (2 , 194)
∵ After 6 weeks , he weighs 186 pounds
∴ [tex](x_{2},y_{2})[/tex] = (6 , 186)
- Use these two points to find m
∵ [tex]m=\frac{186-194}{6-2}=\frac{-8}{4}=-2[/tex]
∴ m = -2
- Substitute the value of m in the form of the equation
∴ y = -2 x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ x = 2 and y = 194
∴ 194 = -2(2) + b
∴ 194 = -4 + b
- Add 4 to both sides
∴ 198 = b
∴ y = -2 x + 198
The linear equation is y = -2 x + 198
To find his weight after 12 weeks substitute x by 12 in the equation
∵ x = 12
∴ y = -2(12) + 198
∴ y = -24 + 198
∴ y = 174
Jeff’s weight after 12 weeks is 174 pounds
Learn more:
You can learn more about the linear equations in brainly.com/question/4819659
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In which quadrant is the point (-7, 4)?
Answers
Answer:
2nd
Step-by-step explanation:
The point (-7, 4) is located in the second quadrant of the Cartesian coordinate system because it has a negative x-coordinate and a positive y-coordinate.
Explanation:The point (-7, 4) is located in the second quadrant of the Cartesian coordinate system. In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. This is in line with the definition that axes divide the plane into four quadrants, where the sign of the coordinates determines the quadrant in which the point lies.
Understanding Quadrants
To better understand which quadrant a point falls into, consider the following general rules for the Cartesian coordinate system:
The first quadrant contains points where both x and y are positive.The second quadrant, where our point lies, contains points with a negative x-coordinate and a positive y-coordinate.The third quadrant contains points with both x and y negative.The fourth quadrant contains points with a positive x-coordinate and a negative y-coordinate.As the point (-7, 4) has a negative x-coordinate and a positive y-coordinate, it falls into the second quadrant, confirming our original statement.
a rocking horse has a weight of 60 pounds. what percentage of the weight is 114 pounds?
Answers
Answer:
190% I believe, I hope this helped!
Step-by-step explanation: