Answer:
x = 381/24 = 3 29/84
Step-by-step explanation:
7x + 1/2(x + 1/4) = 3(6x - 9) - 8
Use the distributive property to multiply 1/2 by x + 1/4.
7x + 1/2x + 1/8 = 3(6x - 9) - 8
Combine 7x (14/2x) and 1/2x to get 15/2.
15/2x + 1/8 = 3(6x - 9) - 8
Use the distributive property to multiply 3 by 6x - 9.
15/2x + 1/8 = 18x - 27 - 8
Subtract 8 from -27 to get -35.
15/2x + 1/8 = 18x - 35
Subtract 18x from both sides.
-21/2x + 1/8 = -35
Subtract 1/8 from both sides.
-21/2x = -35 - 1/8
-35 is the same as -280/8.
-21/2x = (-280 - 1)/8
Subtract 1 from -280 to get -281.
-21/2x = -281/8
Multiply both sides by -2/21 (reciprocal of -21/2).
x = (-281 * -2)/(8 * 21)
You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).
x = (-281 * -1)/(4 * 21)
Multiply -281 by -1 to get 281.
x = 281/(4 * 21)
Multiply 4 by 21 to get 84.
x = 281/84
Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)
x = 3 29/84
Work check: x is substituted for 281/84 (convenience)
7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8
(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8
2118/84 = 3(1686/84 - 9) - 8
2118/84 = 3((1686 - 756)/84) - 8
2118/84 = 3(930/84) - 8
2118/84 = 2790/84 - 672/84
2118/84 = (2790 - 672)/84
2118/84 = 2118/84
So x = 3 29/84 is correct.
Anya is watching a football game on TV. She
has noticed that every 5 minutes there are
2 commercials. If the game lasts 2 hours,
how many commercials will Anya see?
commercials
Answer: 24 commercials
Step-by-step explanation: An hour is 60 minutes. She'll watch 120 minutes of the game. 120 divided by 5 is 24. Good luck! :D
What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days
Answer:
Step-by-step explanation:
It's 205
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.
The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.
The equation at (2.4, 1) will be given as,
2.4 = a (1)² + b (1) + c
2.4 = a + b + c ...1
The equation at (9.4, 2) will be given as,
9.4= a (2)² + b (2) + c
9.4 = 4a + 2b + c ...2
The equation at (21.1, 3) will be given as,
21.1 = a (3)² + b (3) + c
21.1 = 9a + 3b + c ...
Solve equations 1, 2, and 3 with the calculator, then we have
a = 2.35, b = -0.05, c = 0.1
Then the equation is given as,
y = 2.35x² - 0.05x + 0.1
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be
y = 2.35(10)² - 0.05(10) + 0.1
y = 235 - 0.5 + 0.1
y = 235.5
The value of y is nearer to the value of 233. Then the value of y will be 233 days.
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.
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The complete question is given below.
The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.
What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
A) 147 days
B) 200 days
C) 205 days
D) 233 days
If using the method of completing the square to solve the quadratic equation
22 + 15x – 11 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
22+15x−11=0
Step 1: Simplify both sides of the equation.
22+15x−11=0
22+15x+−11=0
(15x)+(22+−11)=0(Combine Like Terms)
15x+11=0
15x+11=0
Step 2: Subtract 11 from both sides.
15x+11−11=0−11
15x=−11
Step 3: Divide both sides by 15.
15x
15
=
−11
15
x=
−11
15
Answer:
x=
−11
15
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 8th year of living in the apartment?
The monthly rent during the 8th year of living in the apartment will be $2160.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.
Then the monthly rent during the 8th year of living in the apartment will be
Let y be the monthly rent and x be the number of years.
Then we have
y = 170x + 800
The rent after 8 years, then the rent will be
y = 170 × 8 + 800
y = 1360 + 800
y = $ 2160
Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.
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PLZZZZZZZZZZZ HELP WILL GIVE BRIANLY
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
$$
x y
9 5
12 8
Answer:
x-4=y
Step-by-step explanation:
im pretty sure
Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad? 2 pounds 223 2 2 3 pounds 3 pounds 313 3 1 3 pounds
Answer: 2²/₃ pounds
Step-by-step explanation:
There are 8 pounds of fruit.
These are to be used to make 3 equal sized fruit salad.
The weights of each fruit salad will therefore be:
= Pounds of fruit/ Number of fruit salads
= 8 / 3
= 2²/₃ pounds
A quantity with an initial value of 750 decays continuously at a rate
of 8.5% per hour. What is the value of the quantity after 147 minutes,
to the nearest hundredth?
Answer:
749.79
Step-by-step explanation:
147 minutes = 2 and 27/60 hours
8.5% times 2 and 27/60 = 0.20825 or 833/4000
750 - 0.20825 = 749.79175
749.79175 to the nearest hundredth = 749.79
Hope this helps.
Answer:609
Step-by-step explanation:
how do u find medians to triangles
Answer:What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Answer:
What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Sole 6-x=4(5+ x) – 4
O A x=-5
OB. x= -1
O c. x=-2
O D. There are infinitely many solutions.
Answer:
C. x=-2
Step-by-step explanation:
To solve use PEMDAS,
First, distribute
6-x=20+4x-4
Then, combine like terms
6-x=16+4x
Add x to both sides
6=16+5x
Subtract 16 from both sides
-10=5x
Divide both sides by 5
-2=x
What is the slope of the line through points (-2, 3) and (6, 1)?
Answer:
slope is -1/4
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
(1 - 3) / (6 - (-2))
Simplify.
(-2) / 8
Simplify.
-1/4
You are controlling an unmanned aerial vehicle (UAV) for surveillance. The table shows the height y (in thousands of feet) of the UAV x minutes after you start its descent from cruising altitude.
Answer: y=-1/2x+58, decreases 500, begins, 58k
Step-by-step explanation:
I'm not too sure about my equation for the word problem but I can explain how I got it.
The equation is in y=mx+b format, so we need to find the slope. They gave us the graph for a reason. You would take each side of the table and subtract/add. For example: 58-53=-5 (y), 0+10=10 (x).
Then, just put that in rise over run (-5/10).
Simplify. Which gives you -1/2.
They already gave us the y-intercept, so just put it into the equation. y=-1/2x+58.
Keep in mind I don't know if you need to add the 0's because it's thousands of feet, I would just in case though. Hoped this helped!
The equation can be given as [tex]y= -\frac{1}{2}x +58[/tex], and slope for x and y is m that is [tex]\dfrac{-1}{2}[/tex].
Given to us,
x is time in minutes
y is the height (in thousands of feet) of the UAV
x y
0 58
10 53
20 48
30 43
The equation can be given as y = mx+ c
where,
x is time in minutes,
y is the height,
m is the slope,
c is the constant,
Substituting the values of x and y to get m and c,
Equation 1:
[tex]y = mx+ c\\ 58 = m(0) + c \\ c = 58[/tex]
Substituting the values of c to get m,
Equation2:
[tex]y = mx+ c\\53 = m(10) + 58\\m\times (10) = - 58 + 53\\m\times (10) = -5\\m =- \frac{1}{2}[/tex]
[tex]y= -\frac{1}{2}x +58[/tex]
Therefore, the equation can be given as [tex]y= -\frac{1}{2}x +58[/tex], and slope for x and y is m that is [tex]\dfrac{-1}{2}[/tex].
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I need help please!!
Answer:
y = -25x + 170
Step-by-step explanation:
For the graph equation y = ax + b, we have to find a and b.
Pick two points that are on the grid for best accuracy.
e.g., (2,120) and (6,20)
Then a = (20-120)/(6-2) = -25
b is the y coordinate of the line with the y axis: 170
So the formula is:
y = -25x + 170
PLEASE HELP BCS MY TEACHER KEEPS POSTING HARD STUFF
Answer:
My estimate is D:21
Step-by-step explanation:
so sorry this answer will be 75% wrong, let me explain how i got this answer
the perimeter of triangle ADE is 12 units
Triangle ABC looks like 2 times the triangle ADE , 12 + 12 = 24 and the closest answer was D: 21
I hope i helped you in some way!
Answer:
D.21
Step-by-step explanation:
AC=8
AB=8
BC=5
Add all the sides
=21
0/1
A population of mosquitos p is modeled by the equation
p = 1000(2)w where w is the number of weeks after the population was first measured.
What is the constant ratio of the function?
Answer:
[tex]1 \sqrt{2}[/tex]
Please helpppppppp xx
Answer:
1 : [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given the ratio
9 : 6 ← divide both parts of the ratio by 9
= [tex]\frac{9}{9}[/tex] : [tex]\frac{6}{9}[/tex] ← simplify
= 1 : [tex]\frac{2}{3}[/tex]
Can someone please help me
Answer:
131.88cm
Step-by-step explanation:
Implement the formula for circumference of a circle:
2×pi(3.14)×r, r= 21cm and pi is given as 3.14. Substitute your given values into the formula above:
2 × 3.14 × 21= 131.88cm to the nearest hundreth
Solve the equation. Explain your steps.
Answer:
x=-36
Step-by-step explanation:
x+1=-35 (divide both sides by 5)
x=-36 (subtract 1 from each side)
Solving systems of equations using substitution y = 5x + 17. y= -2x -4
Answer:
(-3,2)
Step-by-step explanation:
Eliminate the equal sides of each equation and combine
5x + 17 = -2x - 4
Solve
x = -3
Evaluate y when x = − 3 .
y = 2
(-3,2)
hope this helps :)
Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression n+0.02n is one way to represent Hal’s pay per hour after the raise. Write and equivalent simplified expression that will represent his pay per hour after the raise
Answer:
1.02n should be the answer
Another way to represent Hal's pay per hour is n + (2/100)n after the raise.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Hal earns n dollars per hour.
Next month he will receive a 2% raise in pay per hour.
The expression n + 0.02n is one way to represent Hal’s pay per hour after the raise.
Another way to represent Hal's pay per hour is n + (2/100)n after the raise.
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Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2.
9514 1404 393
Answer:
y = -4x +9
Step-by-step explanation:
The same slope-intercept equation can be used, but with a different y-intercept. That new y-intercept can be found from the given point (x, y) using the formula ...
b = y -mx
b = 5 -(-4)(1) = 9
So, the equation with the new y-intercept is ...
y = -4x +9
How do I figure this out?
Answer:
0.75 : 1
Step-by-step explanation:
7x-7=14
Plz show how u got the answer
Answer:
7x-7=14
7x=14+7
7x=21
x=21/7
x=3
Step-by-step explanation:
Hope it helps you
Find the quotient. 4,610 ÷ 16
show work please <3.
4,610 divided by 16 is 288.125
Work:
what’s the equation for getting the circumference of a circle
Answer:
Its 2πr^2
Step-by-step explanation:
[tex]2\pi {r}^{2} [/tex]
Please helpppppppppo
The total rainfall for the year is expected to be 57.8 inches. If it has already rained 32.95 inches, how many more inches of rain are expected?
Answer:
Step-by-step explanation:
57.8 - 32.95 = 24.85
24.85 inches
Don't forget units! :)
Answer:
24.85in
Step-by-step explanation:
This is a very simple subtraction:
57.80-32.95=24.85in
i hope this helps
pls give thx and brainliest
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
You can try the last one by yourself. If you need help on that I will help you, but remember that plug in all the answer choices, so that you can know if it has one solution, infinite solution, or no solution. Hope this helps, thank you !!
7x + 4 = 25, then x is equal to
a) 29/ 7 b) 100/7 c) 2 d/ 3
Answer:
d) 3
Step-by-step explanation:
7x+4=25
7x=21
X=3
Answer: D. 3
Step-by-step explanation:
Given
7x+4=25
Subtract 4 on both sides
7x+4-4=25-4
7x=21
Divide 7 on both sides
7x/7=21/7
x=3
Hope this helps!! :)
Please let me know if you have any questions
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PLSSSS SHOWWW THE WORKKK!!!!
Answer:
80 x by the power of 5 and y is by the power of 3
Answer:
80x⁵y³
Step-by-step explanation:
5x³y(-4xy)²
=5x³y*16x²y²
=80x⁵y³.
bob shares half of his pizza with 5 friends what fraction of the pizza does each friend get
Answer:
1/10
Step-by-step explanation:
Bob has 1/2
1/2 divided by 5 = 0.1
0.1 = 1/10
Each friend gets 1/10.