23x-13=2(x+2)
First you would distribute the 2 into the parenthesis
It will look like this after: 23x-13=2x+4
Then you would subtract 2x on both sides because u have to get the x's on one side
It will look like this after:21x-13=4
Then you would add 13 to both sides
It will look like this after: 21x=17
Then you would divide 21 on both sides
Your final product is 21/17
The solution to the equation 23x - 13 = 2(x + 2) is found by distributing, subtracting 2x, adding 13, dividing by 21, and then checking the solution.
To solve the algebraic equation 23x - 13 = 2(x + 2), let's apply algebraic methods and justify each step:
Distribute the 2 into the parentheses on the right side of the equation: 23x - 13 = 2x + 4. This step applies the distributive property a(b + c) = ab + ac.
Subtract 2x from both sides to start isolating x: 21x - 13 = 4. This maintains the balance of the equation, following the subtraction property of equality.
Add 13 to both sides in order to get terms with x on one side and constants on the other: 21x = 17. This action uses the addition property of equality.
Divide both sides by 21 to solve for x: x = 17/21. This is done using the division property of equality to isolate the variable x.
Check the solution by substituting x back into the original equation to ensure that both sides are equal.
By following these steps, we arrive at the correct solution for x and justify the use of algebraic properties that ensure the balance and equivalence of the equation throughout the process.
The quotient of a number and two imcreased by five is 10 equation
x/2 + 5 = 10
Subtract 5 from both sides.
x/2 = 5
Multiply both sides by 2.
x = 10 (This is your answer.)
a farmer grows 128 red tomato plant produces about 32 tomatoes. the farmer plans to sell each tomato for 2.00. explain how to find a reasonable estimate for the total amount of money the farmer will earn if she sells all of the tomatoes
a farmer grows 128 red tomato plant produces about 32 tomatoes
Each tomato plant produces 32 tomatoes
Total number of tomatoes produced = 128 * 32 =4096 tomatoes
the farmer plans to sell each tomato for 2.00.
Each tomato cost = $2
4096 tomatoes cost = 2 * 4096 = $8192
the farmer will earn $8192 if she sells all of the tomatoes
For a football fundraiser, the booster club sold $8 nahos at the homecoming pep rally. In the last 30 minutes they wanted to sell as many as possible so they lowered the price to $5. What percent markdown were the fans receiving?
Answer:
Percent markdown from 8$ to 5$ is 37.5%
Step-by-step explanation:
Given that the booster club is selling nahos at $8 price and in last 30 minutes to sell as many as possible, they lowered the price to 5$.
Percent mark down= [tex]\frac{decrease in price}{original price} X100[/tex]
[tex]=\frac{8-5}{8} X100=\frac{3}{8}X100[/tex]
[tex]=37.5[/tex]
Hence percent markdown from 8$ to 5$ is 37.5%
Rhonda worked three more than twice as many hours as Chris did. How many hours did each work if together they worked 57 hours
Answer:
Rhonda: 39 hours; Chris: 18 hours.
Step-by-step explanation:
If you subtract the extra 3 hours from the total, you have Chris's hours plus twice Chris's hours adding to 54. That is, Chris worked 54/3 = 18 hours, and Rhonda worked 57-18 = 39 hours = 2·18 +3 hours.
_____
If you insist on equations, you can write two of them:
... r = 2c +3
... r + c = 57
Substitute for r in the second equation:
... (2c +3) +c = 57
... 3c +3 = 57 . . . . . from here down, the explanation above matches this math
... 3c = 54
... c = 54/3 = 18
... r + 18 = 57 . . . . . . substitute for c in the second equation
... r = 57 - 18 = 39
How would you describe the shape of
ribution?
Answer:
Normal distribution
Step-by-step explanation:
A normal distribution can be easily identified if you can see a "bell shape/curve" in the plotted bar chart or line chart.
With regard to a Bat chart a normal distribution can be identified when most of the tall bars are in the middle and when going from middle to both left and right you see the height of the bars dropping at the same rate both ways.
I have attached an image by editing your attachment. I have shown the "bell shape/curve" or the normal distribution.
you get 17 out of 22 correct on a math test what is your percent of correct answers
Answer:
77%
Step-by-step explanation:
divide 17 by 22
Hello Gothgirl311192
To find a percentage, you would have 22/17
so 22/17
about 77 percent
:)
A room’s floor is y meters long. It’s width is 5 meters shorter. If the perimeter of the floor is (4y + 1) meters, can you solve for it’s length?
We know that the perimeter of a rectangle is:
[tex]P=2L+2W[/tex] (1)
Where:
P is the perimeter
L: it's the long
W: is the width
They tell us that the perimeter is:
(4y + 1)
The long is y
The width is y-5.
Then we can write equation (1) as follows:
[tex](4y + 1)=2y+2(y-5)[/tex]
[tex]4y+1=4y-10\\[/tex]
[tex]1 = -10\\[/tex]
The equation can not be solved and, therefore, it is not possible to find the value of "y" with the information provided.
you put a frozen pizza in the microwave. Let T(m) be the function that represents the temperature in F of the pizza after m minutes
A. write a sentence explaining what T(0)=30 means
B. write a sentence explaining what T(5)=80 means
C. write a sentence explaining what T(3) is less than f(4) means
T(0) = 30 means the temperature of the pizza is 30 degrees Fahrenheit. T(5) = 80 means the temperature of the pizza is 80 degrees Fahrenheit after 5 minutes. T(3) is less than T(4) means the temperature of the pizza after 3 minutes is lower than after 4 minutes.
Explanation:A. T(0) = 30 means that when the frozen pizza is put in the microwave, the temperature of the pizza is 30 degrees Fahrenheit.
B. T(5) = 80 means that after 5 minutes in the microwave, the temperature of the pizza is 80 degrees Fahrenheit.
C. T(3) is less than T(4) means that after 3 minutes in the microwave, the temperature of the pizza is lower than the temperature of the pizza after 4 minutes.
Write into algebraic expression. The Product of 9 and x, decreased by the sum of 8 and the square of x.
which is an equation of the line with a slope of 1/4 and a y-intercept of -2
y=1/4x-2 is your answer
How do I solve this: -3x+2y=2
5x-2y=-10
Answer:
Step-by-step explanation:
Solution is given below in attachment
solve for v when B=3 x v/h
[tex]B=3\cdot\dfrac{v}{h}\qquad|\cdot h\neq0\\\\Bh=3v\qquad|:3\\\\\boxed{v=\dfrac{Bh}{3}}[/tex]
Last month, Carter ran 48 miles. This was 60% of his goal. How many miles did Carter set as his goal?
Answer: 80 miles.
Step-by-step explanation:
1. You have the following information given in the problem above:
- Carter ran 48 miles.
- 48 miles was 60% of Carter's goal.
2. Then, to calculate the number of miles that Carter set at his goal, you need to divide 48 miles by 60 and multiply this by 100, as following:
[tex](\frac{48}{60})(100)=80[/tex]
3. Therefore, the answer is 80 miles.
50 POINTS What real-world examples can you use to describe the three ways in which two lines may be related? Geometry only(is this referring to skew lines and parallel lines if so then what's the third way 2 lines can be related?)
Parallel: Tire ruts / RR tracks / lines on notebook paper
Perpendicular: tile grout (parallel too for that matter) - a capital T - most urban intersections
Neither: strings of balloons you're holding
Hoped this helped
Answer:
Parallel: Tire ruts / RR tracks / lines on notebook paper
Perpendicular: tile grout (parallel too for that matter) - a capital T - most urban intersections
Neither: strings of balloons you're holding
Didn't copy the other guy.... This is for clarification ;D
Step-by-step explanation:
65% of 520 garments is what garments
Three rock climbers started a climb with each person carrying 7.8 kilograms of climbing equipment. A forth climber with no equipment joined the group. the group divides the total weight of climbing equipment equally among the four climbers. How much did each climber carry?
Basically 7.8x 3=23.4 kilograms total, but 23.4 divided by 4 is 5.85. HOPE this helps!
8 more than 5 times a number is -27 write a function
5x+8=-27
8 more means addition. -27 would be total. 5 times the number ( in this case x) would mean multiplication.
Cara has $25 to buy dry pet food and treats for the animal shelter. A pound of dog food costs $2 and treats are $1 a piece. If she buys 9 pounds of food, what is the greatest number of treats she can by?
9 pounds of food at 2.00= 18.00
she has 25.00-18.00= 6.00 to buy treays
6÷1=6
Cara can buy 6 treats
Cara starts with 25$.
9 x 2 = 18$
25 - 18 = 7$
Cara can buy 7 dogs treats.
Carlos raced around a 15-mile loop of track 25 times. What was the total distance of the race?
Answer:
375
Step-by-step explanation:
Did it on Edge
The total distance of the race is 375 miles.
Given data:
To find the total distance of the race, multiply the distance of the loop by the number of times Carlos raced around it.
Total distance = Distance of the loop * Number of times raced
Distance of the loop = 15 miles
Number of times raced = 25
Substituting the values into the formula:
Total distance = 15 miles * 25
On simplifying the equation:
Calculating the product:
Total distance = 375 miles
Hence, the total distance was 375 miles.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
martin worked in the yard for five hours and was paid $6.00 per hour. Then he was paid $5.00 for washing the car. Altogether, how much
money did he earn. What pattern did you use to get this answer
he got 35$ because 6 times 5 is 30 and 30 +5=35
The graph below represents the solution set of which inequality
well, i need to see the graph to answer it lol. what is the graph?
Answer:
B: x^2 + 2x – 8 < 0
Step-by-step explanation:
edge
What is 24.16 rounded to the nearest tenth??
24.2 would be your answer
suppose you earn $6 per hour at your pat-time job. what will your new hourly rate be afer a 2.5% rise? Explain
For 2.5% rise we first find increase and then add it to 6
Increase = 2.5% of 6 = 2.5/100 × 6= 15/100 =0.15$
New rates = $(6+0.15) = $6.15
Help plz! loads of points!
I think it would be ''(A) 5 cm on the map represents 50m in chicago''
I know it would be a ...it could also be (B)
but i know that its a for a fact
hope i helped ya
if not im very sorry
Answer: I think it the Answer is B
whats the slope and why?
Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers on Monday and 13.94 kilometers on Wednesday. How much more does Mark need to ride to complete his training for the week. will mark brainly
Mark has ridden 32.17 kilometers so far this week, and to complete his 50-kilometer weekly training goal, he needs to ride an additional 17.83 kilometers.
Explanation:
Mark is in training for a bicycle race and needs to ride 50 kilometers a week. He has already ridden 18.23 kilometers on Monday and 13.94 kilometers on Wednesday. To calculate how much more he needs to ride to meet his goal, we will add the distances he has already covered and subtract that sum from the total required distance.
First, we add the distances covered:
18.23 km (Monday)+ 13.94 km (Wednesday)= 32.17 km (Total ridden)
Next, we subtract the total ridden from the goal for the week:
50 km (Weekly goal)- 32.17 km (Total ridden)= 17.83 km (Remaining distance)
Therefore, Mark still needs to ride 17.83 kilometers to complete his training for the week.
complete the ordered pair for y=-3x-5
Which is greater 5.269 5.038
Answer:
5.269
Step-by-step explanation:
We shall match the decimal points, after integer value 5. Since
269 is greater than 038. So , 5.269 is greater than 5.038
for exercises 11-16 use inductive reasoning to draw the next shape in each picture pattern
11. In each new figure, one vertex is introduced, and each vertex is joined to each other vertex.
12. In each new figure, 2 rows and 1 column are introduced, and the shading at the corner moves 90 degrees clockwise.
13. In each new figure, one row and one column are introduced, and exactly half of the rectangles are shaded.
14. In each new figure, except at the bottom vertex, two perpendicular lines are introduced at the remaining vertices.
15. In each new figure, one inverted white triangle is inscribed in the orange triangle.
16. The number of squares increase in the pattern [tex]1^{2} , 2^{2} , 3^{2} ,...[/tex]. There are blue circles inscribed in one diagonal squares and there are yellow circles inscribed in the remaining squares. Also, the blue circles in diagonal alternate.
Please refer attached figures.
roger saved 20 more pennies than nickels.he saved 5 times as many nickels.how much money did he save in all?
To find out how much money Roger saved in all, we need to determine the number of nickels and pennies he saved. We can then calculate the value of each type of coin and add them together.
Explanation:To find out how much money Roger saved in all, we need to first determine the number of nickels and pennies he saved. Let's assume the number of nickels is 'x'. According to the question, Roger saved 5 times as many nickels as pennies, so the number of pennies would be x/5.
Next, we are given that Roger saved 20 more pennies than nickels. This means that the number of pennies is 20 more than the number of nickels, or x/5 + 20.
To find the total amount of money saved, we need to calculate the value of the nickels and pennies and add them together. The value of x nickels is 5x cents, and the value of x/5 + 20 pennies is (x/5 + 20) * 1 cent. Adding these two amounts together, we get 5x cents + (x/5 + 20) cents. To simplify, we can combine the x/5 term and the 20 term, which gives us 5x + (x/5) + 20 cents.
Therefore, Roger saved a total of 5x + (x/5) + 20 cents.