Answer: 35
Step-by-step explanation:
Simplifying
5(x + 20) = 7x + 30
Reorder the terms:
5(20 + x) = 7x + 30
(20 * 5 + x * 5) = 7x + 30
(100 + 5x) = 7x + 30
Reorder the terms:
100 + 5x = 30 + 7x
Solving
100 + 5x = 30 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
100 + 5x + -7x = 30 + 7x + -7x
Combine like terms: 5x + -7x = -2x
100 + -2x = 30 + 7x + -7x
Combine like terms: 7x + -7x = 0
100 + -2x = 30 + 0
100 + -2x = 30
Add '-100' to each side of the equation.
100 + -100 + -2x = 30 + -100
Combine like terms: 100 + -100 = 0
0 + -2x = 30 + -100
-2x = 30 + -100
Combine like terms: 30 + -100 = -70
-2x = -70
Divide each side by '-2'.
x = 35
Simplifying
x = 35
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]5(x + 20) = 7x + 30[/tex]
[tex](5 * x) + (5 * 20) = 7x + 30[/tex]
[tex]5x + 100 = 7x + 30[/tex]
Step 2: Subtract 5x from both sides
[tex]5x + 100 - 5x = 7x + 30 - 5x[/tex]
[tex]100 = 2x + 30[/tex]
Step 3: Subtract 30 from both sides
[tex]100 - 30 = 2x + 30 - 30[/tex]
[tex]70 = 2x[/tex]
Step 4: Divide both sides by 2
[tex]70 / 2 = 2x / 2[/tex]
[tex]35 = x[/tex]
Answer: [tex]x = 35[/tex]
Select the correct answer.
Cesar had a part-time job last year. He worked every week for the year and made $23 an hour. He worked 28 hours each week. Cesar saved
what was left of his earnings after paying all of his monthly expenses. At the end of the year, he had saved $3,360. What were Cesar's average
monthly expenses, rounded to the nearest dollar?
A
$1,288
B. $1,680
C. $2,403
D. $2,511
E. $2,791
Answer:
D. $2,511
Step-by-step explanation:
First off, we need to write down the facts we know.
There are about 52.177 weeks in a year
Cesar works 28 hours each week
Cesar makes $23 an hour
There are 12 months in a year
Cesar has $3,360 after his monthly expenses
To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses. This means that your answer is: D. $2,511.
Answer:
D. $2,511
Step-by-step explanation:
$23 x 28 x 52 = $33,488
$33,488 ÷ 12 = $2,790.66 = $2,791
12($2,791) - $3,360 = 30,132
$30,132 ÷ 12 = [$2,511]
At a raffle, 250 tickets are sold at $1 each for 3 prizes of $100, $50, and $10. You buy 1 ticket. What is the expected value of your gain? Should you play this game? 1. Explain HOW to determine the expected value. (one paragraph) 2. Interpret the meaning of the expected value for this scenario. (one paragraph)
Answer:
enervsorry it glitched, but the expected value would be 50
Step-by-step explanation:
Please help on this! I will mark brainliest if right!
Answer:
13 units
Step-by-step explanation:
Use the pythagorean theorem and find the hypotenuse.
a^2 + b^2 =c^2
Draw the triangle by connecting the dots so you can see the legs.
one leg is 8 units and one leg is 10 units
8^2 + 10^2 = c^2
64 +100= c^2
164 = c^2
Find the square root of 164 which is 12.8. Round to 13
Write the ratios 20:40:60 in its simplest form?
Answer:
1:2:3
Step-by-step explanation:
The ratio 20:40:60 is simplified by dividing each number by the greatest common divisor (GCD), which is 20, giving us the simplest form of the ratio as 1:2:3.
Explanation:To write a ratio in simplest form, you have to find the greatest common divisor (GCD) of the numbers and then divide all numbers by the GCD. In the ratio 20:40:60, the GCD is 20. Therefore, when you divide each number of the ratio by the GCD you get 1:2:3. So, the ratio 20:40:60 in its simplest form is 1:2:3.
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Express as simply as possible with a rational denominator. 1/root13
Answer: root13/13
Step-by-step explanation:
Answer:
root13/13
Step-by-step explanation:
A circle with area 36 π has a central angle of 11/6 π radians
Answer:
33pi or 103.62 square units
Step-by-step explanation:
central \: angle \: ( \theta) \\ = \frac{11}{6} {\pi}^{c} = \frac{11}{6} \times 180 \degree = 330 \degree \\ \\ area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times area \: of \: circle \\ \\ = \frac{ 330 \degree}{360 \degree} \times 36 \: \pi \\ \\ = \frac{ 330 }{10 } \pi \\ \\ = \red{ \bold{33\pi}} \: {units}^{2} \\ = 33 \times 3.14 \\ = 103.62 \: {units}^{2} \\
Factor: 6a²−378a²−384a.
Answer:
=-372a^2-384a
Step-by-step explanation:
6a^2-378a^2-384a
=-372a^2-384a
Consider the geometric sequence 4,20, 100, 500, 2500, 12500, 62500, 312500. Give the values of g1, r, n.
plz hurry will mark brainiest
what hole number is a solution for the inaquality x _> 4 but is not a solution for the inaquality x > 4?
A 0
B 4
C 7
D 18
Answer:
B. 4
Step-by-step explanation:
The sign [tex]\geq[/tex] means greater than or equal to
The sign > just means greater than
4 is a solution for x [tex]\geq[/tex]4, because 4 is equal to 4, but not a solution for x>4, because 4 is not greater than 4
Hope this helps! :)
William's typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 min. The equatio
f-1.5 = 6 can be used to represent this problem, where fis William's fastest speed. What is William's fastest speed?
A) 4.5 mi/h
B) 5.5 mi/h
C)6.5mi/h
D) 7.5 mi/h
Answer:
D) 7.5 mi/h. hcbhcvu yc yv. y yv yh
Answer:
D
Step-by-step explanation:
7.5
(02.02)
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Select one
O a. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y
b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y
c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48
d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24
Let
L--------> the length of the rectangle
y------> the width of the rectangle
x------> the perimeter of the rectangle
we know that
The perimeter of the rectangle is equal to
In this problem we have
For a width
Find the value of the perimeter
so
therefore
the answer is the option A
No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y. .
I need help with this please. I don’t understand how to do this
Answer:
i can help!
Step-by-step explanation:
all you have to do is first add all the # after you should be left with 2 # multiply them together and there you have your answer!
A rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it. There is enough gravel to cover 80 square meters. Enter an inequality that represents all possible widths(w), in meters, of the pathway.
Let w represent width of the pathway.
We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.
Since pathway will be on all sides, so new length and width of garden with pathway would be [tex]13+2w[/tex] by [tex]15+2w[/tex].
We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.
The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.
We know that area of rectangle is width times length.
[tex]\text{Area of pathway}=(15+2w)(13+2w)-15(13)[/tex]
Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.
[tex](15+2w)(13+2w)-15(13)\leq 80[/tex]
Therefore, our required inequality would be [tex](15+2w)(13+2w)-15(13)\leq 80[/tex].
Maten forgot some of her 12 facts. She wants to find 6x12 , but all she can remember is 5x12=60 . How could she use the fact 5x12=60 to find 6x12? Explain
Answer:
5 times 12 = 12 times 5
Step-by-step explanation:
You flipped the factors since they were the same. 5 times 12 = 60 when you flip the factors 12 times 5 = 60
........................................................................................
Answer:
[tex]125.9 ft^2[/tex]
Step-by-step explanation:
Missing question:
An artist is making a rectangular canvas for a custom painting. the canvas has a width of 9 1/2 feet and a length of 13 1/4 feet . what is the area of canvas in square feet?
The area of a rectangle is given by the formula
[tex]A=L\cdot w[/tex] (1)
where
A is the area
L is the length
w is the width
In this problem, we have a rectangular canvas, so we want to find its area.
We know that:
[tex]w=9\frac{1}{2}ft[/tex] is the width, converting into an improper fraction,
[tex]w=\frac{9\cdot 2+1}{2}=\frac{19}{2}[/tex] ft
[tex]L=13\frac{1}{4}ft[/tex] is the length, converting into improper fraction,
[tex]L=\frac{13\cdot 4+1}{4}=\frac{53}{4}[/tex] ft
Substituting into eq (1), we can find the area of the canvas:
[tex]A=\frac{19}{2}\cdot \frac{53}{4}=\frac{1007}{8}=125.9 ft^2[/tex]
a movie theater charges $10.50 per ticket and $5 per bucket le popcorn. you never buy the popcorn because you think it's too expensive
Answer:
any other info pls tell me
Step-by-step explanation:
Answer:the answer is yes
Step-by-step explanation:
Rounded to the nearest whole number, what is the approximate population density of Michigan, according to the table shown below.
Answer:
~102 per square mile.
Step-by-step explanation:
9883640 divided by 96,716 is 102.19 so rounding down to 102.
Complete the following table with the properties used to solve 4(x + 3) =20
Statements Proof:
4(x + 3) = 20:
4x + 12 = 20:
4x = 8:
x =2:
Answer:
distributive property, subtraction, division
Step-by-step explanation:
i don't know the exact name of the last two but that's what i'm assuming they're called lol
The properties used to solve the equation 4(x + 3) = 20 are the distributive property, subtraction property of equality, and division property of equality. First, the distributive property is used to expand the left-hand side, then subtraction is used to isolate 4x. Finally, division is used to find x = 2.
Explanation:The question provides an algebraic equation and uses properties to solve for the variable 'x'. The steps taken demonstrate the following properties:
Distributive property: The equation starts as 4(x + 3) = 20. Through the distributive property (a*(b + c) = a*b + a*c), this is expanded to 4x + 12 = 20.Subtraction property of equality: Next, 12 is subtracted on both the sides giving 4x = 8. This property states that we can subtract the same value from both sides of the equation and it will still hold true.Division property of equality: Finally, the equation is divided by 4 on both sides, which results in x = 2. This property tells us that if we divide both sides of the equation by the same non-zero number, the equation will still be equal.Learn more about Algebraic Properties here:https://brainly.com/question/32858114
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How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x > 10?
Explain your reasoning.
Answer:
First lets find the solutions to each inequality.
-2x[tex]\geq \\[/tex]10 and -2x>10 (divide both sides by -2 to solve)
x[tex]\leq[/tex]-5 and x<-5
x[tex]\leq[/tex]-5 tell us that x could be -5 or less.
x<-5 tells us that x could be -6 or less.
The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer
Hope this helps ;)
Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?
Answer:
153.94
Step-by-step explanation:
How do you think inequalities are different from equations you have worked with before?
Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.
Hope this helps, and have a nice day
Step-by-step explanation:
Good luck! :)
Answer:yes they are different
Step-by-step explanation:
1. An equation is an equality of two mathematical expressions. That's why it has an equal(=) sign . For example:
12x=10x +2x
Or
3x+4y=5
2. While an inequation is an inequality of two expressions and here the greater than and lower than signs are used with equal sign i.e. >,< or=
For example
4y+5a > 5
Or
8a< 7b
Rewrite the following expression as a single logarithm with coefficient 1.
3log5 uv^2/w^3
Answer:the answer is D
Step-by-step explanation:
The correct solution of the expression is,
⇒ log (125u³v⁶ / w⁹)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3 log (5uv²/w³)
Now, We can simplify by the definition of logarithmic function as;
⇒ 3 log (5uv²/w³)
⇒ log (5uv²/w³)³
⇒ log (125u³v⁶ / w⁹)
Thus, The correct solution of the expression is,
⇒ log (125u³v⁶ / w⁹)
Learn more about the mathematical expression visit:
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Which number should each side of the equation 2/3x=10 be multiplied by to produce the equivalent equation of x = 15?
−2/3
1/3
3/2
3
Answer:
3/2
Step-by-step explanation:
If you want to get the coefficient of x to be 1, you multiply by the reciprocal of the coefficient. The reciprocal is 3/2, so you multiple by 3/2
How would you classify number 125?
A perfect square
B perfect cube
C both a perfect cube and a perfect square
D neither a perfect square nor a perfect cube
Answer:B (perfect cube)
Step-by-step explanation: 125 is the cube of 5
A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 26, 13, 19, 2, 12. The third column is labeled predicted with entries 22.2, 18.3, 14.4, 10.5, 6.6. The fourth column is labeled residual with entries 3.8, negative 5.3, 4.6, negative 8.5, 5.4.
For the given table, which point lies on the residual plot?
(1, 26)
(2, 18.3)
(3, 4.6)
(4, 19)
Answer:
Sample 1: 1.5
Sample 2: -2.5
Sample 3: 5.5
Step-by-step explanation: I just did it
Answer:
(3, 4.6)
Step-by-step explanation:
Took the test on edge.
Definition: This is the observed variable in an experiment or study whose changes are determined by the
presence or degree of one or more independent variables. When graphed, this variable is usually on the
vertical axis.
Answer:
VERTICLE AXIS IS THE ANSWER
Step-by-step explanation:
BRAINLIEST PLEASE????
Answer:
Dependent Variable
Step-by-step explanation:
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
4 participants
Step-by-step explanation:
The name of the chart is "Participants PER race"
That means they tall you how many people did the race now all you gotta do is, Count up the numbers more than 61- So look at the 6 in the "stem" portion
it has 67, 67 they are both more than 61
Then look at the next "stem" number- 7
that has 74 which is more than 61 but less than 85
Then we look at the 8 in the "stem" it has three numbers- 84, 86, 89
but 86 and 89 are more than 85 so 84 is the only one which will go through
So the numbers are: 67, 67, 74, and 84
Thus 4 participants
I hope this explained it!
Elle is buying new flooring for her kitchen
and laundry room. She knows that the
area of the kitchen is 132 square feet. The
laundry room is 8 1/3 feet by 6 3/4 feet. What is
the total area of the two rooms?
Answer:
188.23 ft
Step-by-step explanation:
8.33ft x 6.75ft
56.23ft
now add the other room
56.23ft+132ft
The total area of the two rooms is..
188.23 ft
Write an equation for the line shown
What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16