Answer:
[tex]4x + 42 = 3[/tex]
Step-by-step explanation:
Given:
[tex]\frac{2}{3}x + 7 = \frac{1}{2}[/tex]
Required
Equivalent expression without fraction
To do this, we simply multiply through by a common multiple of the denominators in the expression.
The denominators are 2 and 3
[tex]2 = 2,4,6,8,10,..[/tex]
[tex]3 = 3,6,9,12..[/tex]
So, 6 is the least common multiple.
Multiply both sides by 6
[tex]6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6[/tex]
[tex]6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6[/tex]
[tex]\frac{12}{3}x + 42 = \frac{6}{2}[/tex]
[tex]4x + 42 = 3[/tex]
Hence, an equivalent expression.
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT occupied by the tennis balls? (Assume the tennis balls touch the can on all sides, top and bottom.) Round to the nearest tenth and show all steps and reasoning.
Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height of the cylinder
With the given condition,
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.
WILL GIVE BRAINLIEST!!!! ANSWER ASAP!!!
Solve for x: 2|2x − 2| + 4 = 20. (5 points)
x = 5, x = −3
x = 5, x = −5
x = 3, x = −3
x = −5, x = 3
Learning task 2
A. Solve the systems of equations by a) graphing b) elimination c) substitution
Eq. 1: 2x - 3y = -1; Eq. 2: y = x - 1
B. Solve the problem using any method.
The sum of two numbers is 32 and the difference is 2. Find the numbers
The given equations are
[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
[tex]-2x+2y=-2\cdots(iii)[/tex]
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]
Putting the value of y=3 in equation (i), we have
[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]
Putting the value of x=4 in equation (i), we have
[tex]y=4-1=3[/tex].
Hence, the required solution is (4,3).
3.8 x 10^2 +1.7 x10^3
Answer:
2080
Step-by-step explanation:
that's the answer i think Good luck :)
find the domain and range. state whether each set of ordered pairs is a function or not.
set A: [(0,-8),(1,-1),(-7,-9),(4,3),(-6,6)]
set B: [(1,0),(-9,9),(6,8),(6,7),(-7,5)]
Answer:
Set A is a function
set B is not a function
Ughhh please helpppp!!!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
4 : 6 = 2/3
8/3 : 4 = 2/3
16/9 : 8/3 = 2/3
Use the given information to prove that triangle ABC is similar to DEC
Answer:
sdfghj
Step-by-step explanation:
Which one is it pls help
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
The lengths of the three sides of a triangle are x +3,2x, and 5x - 35. What is the value of x if the perimeter of the triangle is 112?
A.17
B.18
C.12
D.14
E.26
This problem has two parts, Part A and Part B
Select one answer for Part A and one answer for Part B.
6.
Write the number sentence that fits this: "Daniel found 17 basketballs but 3 of
them were broken and another 5 needed pumping. There were only 9
basketballs that could be used.’’
Answer:
17-3-5=9???
Step-by-step explanation:
The number expression is 9 = 17 - 3 - 5 if Daniel found 17 basketballs but 3 of them were broken and another 5 needed pumping. There were only 9 basketballs that could be used.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
"Daniel found 17 basketballs but 3 of them were broken and another 5 needed pumping. There were only 9 basketballs that could be used.’’
Let x be the total number of basketballs that can be used.
x = 17 - 3(broken) - 5(need to pump)
x = 17 - 3 - 5
x = 17 - 8
x = 9
9 = 17 - 3 - 5
Thus, the number expression is 9 = 17 - 3 - 5 if Daniel found 17 basketballs but 3 of them were broken and another 5 needed pumping. There were only 9 basketballs that could be used.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
I need Help please #22
Answer:
A: 7.5
Step-by-step explanation:
If the length is 5 inches longer than the width, we must multiply the width by 4 and add ten to figure out the perimeter. 7.5 x 4 = 30. 30 + 10 = 40.
Answer:
8
Step-by-step explanation:
40/5=8 plz trust me i need it!!!
What is the slope and y-intercept of the equation y + 8 = 6x Question 6 options: slope: 6; y-intercept: 8 slope: -6; y-intercept: 8 slope: 6; y-intercept: -8 slope: -6; y-intercept: -8
Answer:
slope: 6; y-intercept: -8
Step-by-step explanation:
The given equation is :
y + 8 = 6x
The general equation of a line is :
y = mx+b...(1)
Where
m is slope and b is y-intercept
Equation (1) can be rewritten as follows :
y = 6x -8
or
y = 6x +(-8) ....(2)
Compare equation (1) and (2) we get :
Slope, m = 6 and y intercept = -8
Hence, the correct option is (c).
Hi if anyone gets this pls help i understand but i wanna be sure
Answer:
A. [tex]8x^{6}[/tex]
Step-by-step explanation:
Answer:
8x6
Step-by-step explanation:
Solve the Inequality
3x≤9
Answer:
x ≤ 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3x ≤ 9
Step 2: Solve for x
Divide 3 on both sides: x ≤ 3Here we see that any solution x less than or equal to 3 would be a solution of the inequality.
help i give you brinly
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
1)Solve the system of equations using substitution or elimination. Your
12x - y = 24
-3x + 2y = -6
Please Help please please
Answer:
5.25
Step-by-step explanation:
Take the distance between the two points and divide by 2.
The distance between the two is 10.5 (9.1-(-1.4))
Divide by two to find the midpoint.
Answer: 3.85
Step-by-step explanation:
find the mean of the 2 numbers, that is the midpoint.
where do I graph it at ??
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
I have attached a picture of the graph.
Step-by-step explanation:
So for 3 miles, they are charged $6 and for 5 miles, $8. This means that for 5-3 = 2 miles, they are charged $8-$6 = $2.
2 miles = $2
1 mile = $1
We will apply this charging rate for 3 miles since we know there is a flat fee added into it too.
3 miles = $3
Flat fee = $6 - $3
= $3
That means that at 0 miles, there is a flat fee of $3, and so the graph would start at 3 on the x-axis even when the y-axis (representing the miles) is at 0 (0 miles).
You also know that for each mile, there is an increase of $1, so the graph should increase upwards at 1 dollar per 1 mile. I have attached the graph for you.
Answer:
Graph at (3, 6) and (5,8) and YES they are proportional
(don't forget to correctly graph the x and y)
Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest tenth of a percent.
8.3%
9.2%
7.7%
9.5%
Answer: 8.3% when rounded
Answer:
Mayelle has a 8.3% increase in pay
What sentence represents the number of points in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice question points plus the number of
short-answer question points is 25.
B. The number of multiple-choice question points plus the number
of short-answer question points is 25.
C. The number of multiple-choice question points times the number
of short-answer question points is 80.
D. The number of multiple-choice question points plus the number of
short-answer question points is 80.
Answer:
Option D: The number of multiple-choice question points plus the number of short-answer question points is 80 is the correct answer.
Step-by-step explanation:
Given that:
Points worth of test = 80 points
There are Multiple choice questions worth 2 points and short answer questions worth 4 points.
2x+4y=80
Thus,
The number of multiple choice questions points plus the number of short answer question points is 80.
Hence,
Option D: The number of multiple-choice question points plus the number of short-answer question points is 80 is the correct answer.
PLEASE HELP MEEE AND DONT GIVE A FAKE ANSWERRRR
Seriously, I'm giving out a ton of points for this, so please actually answer it correctly
John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.
The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.
Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.
Part A:
Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?
Part B:
Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?
Part C:
Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.
Answer: Mount Everest: 8,849.87 meters, Mount Olympus: 2,919.07 meters
Step-by-step explanation: Part A: 5900 Part B: 5930.8 Part C: It's reasonable because part a's answer and part b's answer is pretty accurate and close enough to each other, so yes it is reasonable. But the estimate is very reasonable.
Answer:
nice 44 pts
Step-by-step explanation:
Ms. Ayers wrote a bonus problem on the board. If Jason correctly answers, he will get extra computer time. The problem is to write a statement that correctly relates the numbers 5 and 10. Which should Jason write?
Answer:
Step-by-step explanation:
Five is a factor of 10.
Two times five = 10
y
What is the equation of the line in it's simplest forms
Answer:
you to be the line smell the line and thats it
Step-by-step explanation:
Measure 4 gallons of water using a 3 gallon jar and a 5 gallon jar
Answer
Fill the 5 gallon jug.
Pour the 5 gallon jug into the 3 gallon jug.
Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.
Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)
Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.
Answer:
use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar
Step-by-step explanation:
Hello, could someone answer this question for me please?
simplify (1 + i) + (-2 + i).
Answer:
- 1 + 2i
Step-by-step explanation:
Given
(1 + i) + (- 2 + i) ← remove parenthesis
= 1 + i - 2 + i ← collect like terms
= - 1 + 2i
help me with this math prob
Answer:
awsome
Step-by-step explanation:
Answer:
Well..
Step-by-step explanation: Za Warudo
Felicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?
Answer:
[tex]Tatiana = \$8.35[/tex]
Step-by-step explanation:
Given
[tex]Total = \$31.50[/tex]
[tex]Felicia = \$4.25[/tex]
[tex]Ingrid = 2 * Felicia[/tex]
[tex]Meiko = \$1.90 + Ingrid[/tex]
Required
Determine amount spent by Ingrid
We have that:
[tex]Ingrid = 2 * Felicia[/tex]
Substitute $4.25 for Felicia
[tex]Ingrid = 2 * \$4.25[/tex]
[tex]Ingrid = \$8.5[/tex]
We also have that:
[tex]Meiko = \$1.90 + Ingrid[/tex]
Substitute $8.5 for Ingrid
[tex]Meiko = \$1.90 + \$8.50[/tex]
[tex]Meiko = \$10.40[/tex]
The total can be represented as thus:
[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]
[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]
[tex]\$23.15+ Tatiana = \$31.50[/tex]
Collect Like Terms
[tex]Tatiana = \$31.50 - \$23.15[/tex]
[tex]Tatiana = \$8.35[/tex]
Mrs. Cervantes wants to paint her windmill. It has six sides, each of which is 3.5 feet wide by 11 feet tall. How many square feet does she need to paint?
Answer:
231 ft²
Step-by-step explanation:
Given that :
Dimension of each side = 3.5 feets by 11 feets
Area of each side :
Length * width = (3.5 * 11) feets = 38.5 ft²
Number of sides = 6
Hence, number of square feets to paint :
Number of sides * area of each side :
6 * 38.5 ft²
= 231 ft²