Answer:
the domain is (x ≥ -1 ) if you need it in interval notation it is (-1, infinity )
What is the solution to 8x minus 3(2x minus 4) = 3(x minus 6)
Answer:
x = 30.
Step-by-step explanation:
8x - 3(2x - 4) = 3(x - 6)
8x - 3*2x + - 3*-4 = 3*x + 3 * -6
8x - 6x + 12 = 3x - 18
2x + 12 = 3x - 18
2x - 3x + 12 = 3x - 3x - 18
-x + 12 = -18
-x + 12 - 12 = -18 - 12
-x = -33
-x/-1 = -30/-1
x = 30.
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]8x-3\left(2x-4\right)=3\left(x-6\right)[/tex]
First, we will expand [tex]-3\left(2x-4\right)[/tex] by applying the distributive property:
[tex]-3\times \:2x-\left(-3\right)\times \:4[/tex]
** [tex]-\left(-a\right)=a[/tex]
[tex]-6x+12[/tex]
[tex]8x-6x+12=3\left(x-6\right)[/tex]
Expand, [tex]3\left(x-6\right):[/tex]
[tex]3x-3\times \:6[/tex]
[tex]3x-18[/tex]
[tex]2x+12=3x-18[/tex]
Subtract 12 from both sides:
[tex]2x+12-12=3x-18-12[/tex]
[tex]2x=3x-30[/tex]
Subtract 3x from both sides:
[tex]2x-3x=3x-30-3x[/tex]
[tex]-x=-30[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-30}{-1}[/tex]
[tex]x=30[/tex]
________________________
A company rents out 19 food booths and 20 game booths at the county fair. The fee for a food booth is $200 plus $7 per day. The fee for a game booth is $65 plus $5 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$2715
Step-by-step explanation:
Given that 15 food booths were rented out for ‘d’ days at $100 plus $5 per day. On the food booths only, the company will earn 15($100+$5d) = $1500 + $75d Given that 20 game booths were rented out for ‘d’ days at $50 plus $7 per day. On the game booths only, the company will earn 20($50 + $7d) = $1000 + $140d
The total amount that the company is paid is therefore, $1500 + $75d + $1000 + $140d = $2500 + $215d
What would be the range of possible whole number values (x) for a 3rd side of the triangle with two sides of 5 in. and 8 in.?
& Name one possible value for a third side?
Correct Answer Only
Answer:
Range of the third side of a triangle
Step-by-step explanation:
Any one side of a triangle must be shorter than the sum of the other two sides. Therefore, the third side length x must be between 5 and 35, not including those endpoints: 5 < x < 35. All whole numbers satisfying this range would form a triangle.
20 is a possible value for a third side
Please help me with the explanation! I need to remember how to do this
Answer:
like what do you want to remember.
help meeeeeeeeeeeeeeeeeeeeeeeee
Answer:
118.75
Step-by-step explanation:
47.50 multiplied by 2.5 would equal 118.75
ur welcome :)
Can someone round this number to the nearest tenth and explain clearly I’ll mark you Brainiest if you can explain in an image ;)
PLEASE HURRY!!!
Wendy mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Wendy mix with each part of water?
A. 2/5
B. 5/7
c. 7/5
d. 5/2
Answer:
2/5
Step-by-step explanation:
You have to divide 2 by 5! Which equals 4/10 then simply to 2/5!
If one of the 9 players
on a team catches a
ball, what is the
probability that it was
one of the 4 infielders
who caught it?
1. Find three consecutive interferes whose sum is -30. (Answer choices) A.)-8, -10, -12 B). -11, -12, -13 C.) 11, -10, -9 D.) -8, -9, -10
Find three consecutive even internet’s whose sum is 120
A.) 38, 39, 40
B.) 39, 40, 41
C.) 36, 38, 40
D.) 38, 40 , 42
HELP ASAP
Answer:
] The three consecutive even numbers are 38, 40 and 42. The smallest of the three is clearly 38. Step-by-step explanation:Even numbers are of the form [math]2k[/math], [math] k \in \mathbb{Z}[/math]. Three consecutive even numbers are of the form [math]2k[/math], [math]2(k+1)[/math], [math]2(k+2)[/math]. We have that their sum is 120 therefore [math]\\2k + 2(k+1) + 2(k+2) = 120 \Leftrightarrow k+(k+1)+(k+2) = 60 \Leftrightarrow 3(k+1) = 60 \\ \Leftrightarrow k+1=20 \Leftrightarrow \boxed{k=19}.[/math
which graph has the domain please help im so confused
Answer:
The third option
Step-by-step explanation:
The domain is saying x is greater than or equal to 2, so the third option fits that description.
Hopefully this helps!
Brainliest please?
7. Write the equation of a line which passes through the points (-3,5) and (6,23)
Answer:
answer to the equation is
[tex]y = 2x + 11[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
first find the slope of the line using the two points
[tex]slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2[/tex]
substitute 2 for m and use one of the points for x and y and solve for b
[tex]5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11[/tex]
Now that you found b, the y-intercept, you can substitute that into the equation for your line
[tex]y = 2x + 11[/tex]
In Livingston, the library is 9 miles south of the courthouse and 2 miles west of the community swimming pool. If a bird flew directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse, what would be the total distance flown? If necessary, round to the nearest tenth.
Answer:
i think it's 18 but im not sure
Step-by-step explanation:
prove that 5^(2n - 1) is divisible by 8
Answer:
Step-by-step explanation:
Prove that 52n − 1 is divisible by 8 for all n ∈ N.
Solution
To prove by induction, we must
1. Show it is true for n = 1
2. Assume true for n and prove it is true for n + 1.
Let P(n) be the statement 52n − 1 is divisible by 8.
When n = 1, 52 − 1 = 24, which is divisible by 8.
This proves P(1).
Suppose that P(n) is true, i.e., 52n − 1 is divisible by 8.
Then 52(n+1) − 1 = 52
· 5
2n − 1 = 52
(52n − 1) + (52 − 1).
Note that 52n −1 is divisible by 8 using P(n) and also 52 −1 = 24 is divisible
by 8. Thus we have proved that P(n + 1) is true.
We conclude that P(n) is true for all n ∈ N.
hello,i need help with this question:
The sum of the measures of angle M and angle R is 180⁰.
• The measure of angle M is (5x+10)⁰.
• The measure of angle R is 55⁰.
What is the value of x?
☺
Answer:
x = 23
Step-by-step explanation:
If the sum of angles is equal to 180 then we can write and equation to find the value of x
5x + 10 + 55 = 180 add like terms
5x + 65 = 180 subtract 65 from both sides
5x = 115 divide both sides by 5
x = 23
Solve this equation. Enter your answer in the box. -5/6 - 2/3e=24
Answer:
[tex] - \frac{5}{6} - \frac{2}{3} e = 24 \\ - 1.2 - 1.5e = 24 \\ - 1.5e = 24 + 1.2 \\ - 1.5e = 25.2 \\ e = - \frac{25.2}{1.5} \\ e = - 16.8 [/tex]
Donna bought 5 bags of dog treats for $10.90. What is the cost per bag of dog treats? A. $0.46 B. $2.73 C. $15.90 D. $2.18
Answer: $2.18
Step-by-step explanation:
You are trying to solve for the cost of one bag or unit cost. Take
the amount of money spent and divide it by the number of bags
purchased.
10.90 ÷ 5 = 2.18
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Answer: X = 20
Step-by-step explanation:
Answer: X = 20
Step-by-step explanation:
To get this
3 * 20 + 12 = 20
3*20=60
60+12=72
72
25 POINTS AND BRAINLIEST
The sets of numbers 6, 8, 10 and 5, 12, 13 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
YALL DONT GIVE ME A COLLEGE ANSWER TRY TO DUM IT DOWN THANKS! <3
Answer:We know that the Pythagorean Theorem is a² + b² = c². First lets start with 6, 8, and 10. There is a simple way to know that these are Pythagorean triples. They make up what is called a 3-4-5 triangle. 3 x 2 is 6, 4 x 2 is 8, and 5 x 2 is 10. Next 5, 12, and 13 are Pythagorean triplets because 5² + 12² = 13². Because both of these form right triangles, we know that they are Pythagorean triplets.
Hope this helps!
Step-by-step explanation:
Plz brainliest
The Pythagorean triples are those three numbers of which the square of a number is the sum of the squares of the other two numbers.
What is Pythagorean Theorem?According to the Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the base and height.
Given, three numbers are 6, 8, 10.
It is clear that, 6² + 8² = 36 + 64 = 100 = 10². Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 10 and other two sides are 6 and 8 respectively.
Again, three numbers given: 5, 12, 13.
It is also clear that, 5² + 12² = 25 + 144 = 169 = 13².Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 13 and other two sides are 12 and 5 respectively.
Learn more about the Pythagorean Theorem here: https://brainly.com/question/16426393
#Tag #SPJ2
Item 5
What is the length of the line segment with endpoints (10.8, −5.3) and (−15.6, −5.3) ?
Step-by-step explanation:
since both points are on the same horizontal line (same y coordinate), we can save the detour via the Pythagoras approach. we only need to look at the difference of the x coordinates to get the distance :
10.8 - -15.6 = 10.8 + 15.6 = 26.4
30 points for the correct answer
Answer:
its either 2/9 or 2/3
Step-by-step explanation:
I solved the top part and got 2/3 and i solved the bottom part and got 1/3 and you can multiply 2/3 and 1/3 and got 2/9
What is the mode?
-2 -6 -7 -4 -7 -6 -6 -2
Answer:
-6
Step-by-step explanation:
Mode in math means the number that is the most frequent number found in a data set, and in this data set shown, -6 comes the most frequently.
Answer:
-6
Step-by-step explanation:
A basketball player spent 6 hr
watching game films, practic-
ing free throws, and lifting
weights. He spent twice as
much time lifting weights as
practicing free throws and
2 hr longer watching game
films than practicing free
throws. How many hours did
he spend on each task?
Answer:
watching game= 3 hours
practicing free throw= 2 hours
lifting weight=1 hour
The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced?
Answer:
The price of the dress was reduced by 25%
Step-by-step explanation:
Answer:
The price for the dress was reduced by 25%.
Step-by-step explanation:
25% of 40 is 10.
40 - 10 = 30, explaining the dress' price reduction from 40 to 30.
Hope this helps!
and y represents the number of tiles), which figure number has 40 tiles in it?
For a tile pattern with the rule y = 6x+4 (where x represents the figure number
How do you know?
help with the top one please?
Answer:
30 pages per hour.
Step-by-step explanation:
Okay so they read 1 1/2 pages per hour right. And you need 20/20 to make 1 hour right. So all you have to do is multiply 1 1/2 by 20 and you got your answer.
Which set of ratios is equivalent to 4:4
A. 8 to 10, 10/15 B, 8 to 10, 16/20
C. 15/20, 20:25 D. 40/50, 24;36
Answer:
B
Step-by-step explanation:
both simplify into 4:5
4. Each morning you do a combination of aerobics, which burns about 12 calories per
minute, and stretching, which burns about 4 calories per minute. Your goal is to burn
416 calories during a 60-minute workout. How long should you spend on each type of
exercise to burn the 416 calories?
22 minutes is spent doing aerobics and 38 minutes doing stretching
Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.
Since the goal is to do a 60-minute workout, hence:
x + y = 60 (1)
Also, 416 calories needs to be burnt hence:
12x + 4y = 416 (2)
We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:
8x = 176
x = 22 minutes
Put x = 22 in (1)
22 + y = 60
y = 38 minutes
Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.
Find out more at: https://brainly.com/question/16763389
What are 2 alternate points for the equation =−2/3x+5
Answer:
JC picture below
Step-by-step explanation:
JC
what type of mathematical law is this (6+4)+100=6+(4+100)
Answer:
Associative Property of Addition
Step-by-step explanation:
According to the Associative Property of Addition: when three real numbers are added, it makes no difference which two are added first.
a + (b + c) = (a + b) + c
Therefore, in the given equality statement: (6 + 4) + 100 = 6 + (4 + 100), the sum of the numbers on either side of the equation will have the same results.
(6 + 4) + 100 = 6 + (4 + 100)
(10) + 100 = 6 + (104)
110 = 110
Please mark my answers as the Brainliest, if you find this explanation helpful :)
19/24 nearest hundred
Answer:
0.79
Step-by-step explanation:
Answer:
if speaking in decimal terms, your answer would be 0.79/ 0.7916/ 0.79167
Step-by-step explanation:
