Joe's Painting: 20x + 100 = y
Steve's Painting: 15x + 120 = y
x = hours worked
y = total income
We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:
20x + 100 = 15x + 120
First, we have to move the 100 by subtracting it from both sides.
20x = 15x + 120 - (100)
20x = 15x + 20
Then, we need to move the 15x by subtracting it from both sides.
20 - (15x) = 20
5x = 20
Lastly, we need to divide 5 from both sides.
5x = 20/5
x = 4
Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.
My bathtub holds 21 gallons of water. How many pints of tomato juice do i need to fill my tub?
Answer:
168
Step-by-step explanation:
21 x 8 pints in a gallon is 168
A rectangular, above-ground swimming
pool is 18 feet long, 9 feet wide, and 54
inches deep. One cubic foot of water weighs
about 62.4 pounds. What is the total weight
of the water in the pool when it is
completely full?
A. 158 lbs
B. 729 lbs
C. 8.748 lbs
D. 45,489.6 lbs
Simplify: -51 - (-7½)
Answer:
-43.5 or -43 1/2
Answer:
Your exact simplified form will be -87/2.
Using the image below to answer the question. Using the segment addition postulate find the value of X
The value of x is 13. Therefore, option B is the correct answer.
Given that, EF=7x+9, FG=3x+4 and EG=143.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.
Now, EG=EF+FG
⇒143=7x+9+3x+4
⇒10x+13=143
⇒10x=130
⇒x=13
The value of x is 13. Therefore, option B is the correct answer.
To learn more about the line segment visit:
https://brainly.com/question/25727583.
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simplify the expression
Answer:
4k(2k² - 5k - 4) + 5(2k² - 5k - 4)
8k³ - 20k² - 16k + 10k² -25k - 20
8k³ - 10k² - 41k - 20
Thus its G
So the right answer is of option G.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Find the area. Will mark brainliest.
Answer:
54 in^2
Step-by-step explanation:
9*12/2=54 in^2
Answer:
54
Step-by-step explanation:
The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.
hope this helps:)
HELP QUICK!! 25 POINTS AND BRAINLIEST!!! In circle V, r = 18 in.
What is the area of circle V?
a. 64
b. 36
c. 72
d. 324
Please help me on number one I will mark you as the best answer
Answer:
-4n - 40 > -120
<=> -4n > -80
<=> 4n < 80
<=> n < 20
=> Option B is correct.
q/(-7) + 1 > 5
<=> q/(-7) > 4
<=> q < 4 x (-7)
<=> q < -28
=> Option C is correct.
Hope this helps!
:)
If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123
Answer:
$174.05
Step-by-step explanation:
To find the value of the investment at a later date:
[tex]x * multiplier^n = y[/tex]
Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.
Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.
To convert this into a multiplier, you simply divide by 100:
118 ÷ 100 = 1.18
The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].
Finally, we substitute our values into the equation:
[tex]125 * 1.18^2 =174.05[/tex]
This means our final answer is $174.05.
What expresión is equal
Answer:
4^4
Step-by-step explanation:
Working from left to right
4^5 * 4^-7 ÷ 4^-2
We know that a^b * a^c = a^(b+c)
4^5 * 4^-7 = 4^(5-7) = 4^2
4^2 ÷ 4^-2
We know a^b / a^c = a^(b-c)
4^2 ÷ 4^-2 = 4^(2- -2) = 4^(2+2) = 4^4
Answer:
d
Step-by-step explanation:
i think
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
Find the 66th term in the following
arithmetic sequence :
--92, -85, -78, -71, ...
Answer:
363
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus
[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363
Answer:
363.
Step-by-step explanation:
We see that each term increases by 7.
This is an arithmetic sequence with first term (a1) = -92 and the common difference (d) is 7.
an = a1 + (n - 1)d
a66 = -92 + (66 - 1)7
= -92 + 455
= 363.
1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years
Answer:
She'll earn $4973.07 coming to an amount of $22,973.07
Step-by-step explanation:
Hello! Help please thank you
Answer:
30
Step-by-step explanation:
Which two consecutive integers does −[tex]\sqrt{155}[/tex] lie between?
A) 11 and 12
B) 12 and 13
C) −11 and −12
D) −12 and −13
Please help as quick as you can! Question is below! Brainliest!
Answer:
Cylinder = [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Rectangle = l*w*h
Cone = 1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Pyramid = 1/3 b*h
Step-by-step explanation:
Simplify the expression. 3⁹ x 3⁶ x 3⁶
Answer:
I might be wrong but I think this is the answer 10460353203
Step-by-step explanation:
Answer:
[tex]3^{21}[/tex]
Step-by-step explanation:
We have [tex]3^9 * 3^6 * 3^6[/tex].
Use the Product Rule for exponents: [tex]a^x *a^y=a^{x+y}[/tex]
[tex]3^9*3^6*3^6 =3^{9+6+6} = 3^{21} \\\\\text {So: }\\\\\boxed {3^9*3^6*3^6 = 3^{21}}[/tex]
The answer is also 10460353203, but [tex]3^{21}[/tex] is the best way to express this.
Brainilest Appreciated.
help me please ( i’ll give 20 points for this )
Answer:
108
Step-by-step explanation:
add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)
Answer:
64°
Step-by-step explanation:
See the angle is smaller than 108° and it is not 90° so the answer is 64°
Order the following numbers from greatest to least: 2, -1 , 2.58, -1.65. -1, -1.65, 2, 2.58 2.58, 2, -1.65, -1 2.58, 2, -1 , -1.65 -1.65, -1, 2, 2.58
Answer:
2.58, 2.58, 2.58, 2.58, 2.58, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1.65, -1.65, -1.65, -1.65, -1.65
Step-by-step explanation:
The numbers are in greatest to least.
2.58, 2 1/3, -1.65, and -1 3/4
Step-by-step explanation:
positive then negatives
Please help fast!!!
Fill in the missing value:
A.) 17
B.) 168
C.) 13
D.) 7
Answer:
13
Step-by-step explanation:
Use the pythagorean theorem where 12 squared plus 5 squared is the square of the hypotenuse. 12 squared is 144 and 5 squared is 25. 144+25=169. Taking the square root of 169 we get 13. Therefore the missing side is 13 units long.
Hope this helps! (Please mark Brainliest)
Answer: D.) 7
Step-by-step explanation:
Place the indicated product in the proper location on the grid.
(ab - 9)(ab + 8)
Answer:
(2b)
Step-by-step explanation:
Find the distance between P and Q.
Answer: 10
Step-by-step explanation:
An equation has solutions of m= -5 and m = 9. Which could be the equation?
(m + 5)(m - 9) = 0
(m-5)(m + 9) = 0
m2 - 5m + 9 = 0
Om2 + 5m - 9= 0
Answer:
[tex](m+5)(m-9)=0[/tex]
Step-by-step explanation:
you set each of them equal to zero,
[tex]m+5=0[/tex]
[tex]m-9=0[/tex]
and solve for 'm'
Answer: Option A
(A) (m +5 )( m-9 ) = 0
Step-by-step explanation:
( Quick Response) Which expressions are equivalent?
Answer:
A, 3x-7y=-7y+3x
Step-by-step explanation:
Two sides is a triangle have the following measures. Find the range of possible measures for third side.
Answer:
last one
Step-by-step explanation:
the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe
6 < x < 64
Therefore, option b) is correct.
Step-by-step explanation:
Given :
Two sides of the triangle -- 35 , 29
Solution :
Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.
Then ,
y - z < x < y + z
35 - 29 < x < 35 + 29
6 < x < 64
Therefore, option b) is correct.
For more information, refer to the link given below
https://brainly.com/question/2773823?referrer=searchResults
can someone please help me, 20 points!!!
Answer:
9.4 = x
Step-by-step explanation:
You are given the hypotenuse and the adjacent side, leading you to use cosine.
Set it up:
[tex]cos48 = \frac{x}{14}[/tex]
Multiply everything by 14, to remove it from the denominator:
[tex]14(cos48 = \frac{x}{14})[/tex]
[tex]14cos48=x[/tex]
Multiply accordingly:
9.36 = x
Round to nearest tenth:
9.4 = x
What is f(0)?
Im pretty sure the answer is infinity or DNE.
Please help
Answer: It represents the y intercept of f(x). ... f(0) represents the ordinate of the point where the function intersects the y axis. This is the y intercept of the function.
Step-by-step explanation:
What’s this answer Im tried everything
Answer:
the answer is B, you can try graphing them if u need to verify it
Please help. Question below.
Answer:
See explanation
Step-by-step explanation:
Let's go over the definition of each term.
Mean: Average of all the data. Find by adding all the terms, then dividing that by the amount of terms
Median: Value in the middle of the data when the values are in order. Find by locating the term in the middle position.
Mode: The number or numbers that occur most often in the data.
Range: Difference between the highest and lowest values in the data. Find by subtracting the lowest value from the highest.
Outlier: A number or numbers that are different from the rest of teh data and cannot be accurately included.
Now, let's find the answers.
32 + 25 + 21 + 32 + 7 + 26 + 32 + 35 + 37 + 36 + 25 + 25 + 62 + 36 = 431
431/14 = 30.8. Therefore, the mean is 30.8.
When the numbers are in order, they look like this:
7, 21, 25, 25, 25, 26, 32, 32, 32, 35, 36, 36, 37, 62.
Since there are two numbers in the middle, 32 and 32, find the average of the two numbers. 32 + 32 / 2 = 32. Therefore, the median is 32.
The numbers that occur most often are 25 and 32, which each occur three times. Therefore, the modes are 25 and 32.
The largest value is 62 and the smallest is 7. 62 - 7 = 55. Therefore, the range is 55.
There are two numbers that are much higher or much lower than the rest of the data: 7 and 62. Therefore, the outliers are 7 and 62 (hint: if you're sure there are outliers, check the highest and lowest numbers in the data).
What is the solution to log 8x = 3?
answer : 3/8 or .375
8x=3
divide both sides by 8
x=3/8 or .375