Answer:
1: m=2
2: g=7
3: y=13
4: a=-27
5: x=15
6: w=-18
Answer:
1. m = -2
2. g = 7
3. y = 13
4. a = -36
5. x = 15
6. w = -18
Step-by-step explanation:
1. Make the constant to the right-hand side and change its sign
a = 10 - 12
Calculate the difference a = -2
Solution
a = -2
2. Move variable to the left-hand side and change its sign
-g - 2 = - 9
Move constant to the right-hand side and change its sign
-g = -9 + 2
Calculate the sum
-g = -7
Change the signs on both sides of the equation
g = 7
Solution
g = 7
3. Divide both sides of the equation by - 7
-7y ÷ (-7) = -91 ÷(-7)
Any expression divided by itself equals 1
y = 91 ÷ (-7)
Divide two negatives equals a positive: (-) ÷(-)=(+)
y = 91 ÷ 7
Calculate the quotient
y = 13
Solution
y = 13
4. Multiply both sides of the equation by 9
9 x a/9 = 9 x (-4)
Reduce the number with the greatest common factor 9
a = 9 x (-4)
Multiply a positive and a negative equals a negative: (+)x(-)=(-)
a = -9 x 4
Multiply the numbers
a = -36
Solution
a = -36
5. Multiply both sides of the equation by 3/2
3/2 × 2/3x = 3/2 × 10
Reduce the numbers with the greatest common factor 3
1/2 × 2x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3 x 5
Multiply the numbers
x = 15
Solution
x = 15
6. Multiply both sides of the equation by 9/4
9/4 x 4/9w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 9
1/4 x 4w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 4
w = 9/4 x (-8)
multiplying a positive and a negative equals and negative: (+)x(-)=(-)
w = -9/4 x 8
Reduce the numbers with the greatest common factor 4
w = -9 x 2
Multiply the numbers
w = -18
Solution
w = -18
Round 2,345,4285 to the nearest tenth
Evaluate..................
Answer:
Step-by-step explanation:
Juan is saving money for a new car. He has already saved $200 and plans to save $25 per week. This situation can be represented by the function f(x) = 200 + 25x, where x is the number of weeks. How much money has Juan saved after 8 weeks?
Answer:
400
Step-by-step explanation:
200 + 25(8)
200 + 200 = 400
Answer:
400
Step-by-step explanation:
25x8+200=200+200=400
The number 20 is decreased to 19. What is the percentage by which the number was decreased, to the nearest tenth of a percent
Answer:
(19-20)/20 = -.05 or a decrease of 5% (-5%)
Step-by-step explanation:
(final number - initial number) / initial number * 100
solve this equation
1/3x + 4= x - 2
Answer:
x = 9
Step-by-step explanation:
Geometry question. Please help!!!
Answer:
C
Step-by-step explanation:
What is the product of 8.0 x 10^2 and 7.4 x 10^2 expressed in scientific notation?
Answer:
5.92 × 10^5
Step-by-step explanation:
8.0 × 10²= 800
7.4 × 10²= 740
800 × 740 = 592000
592000 in scientific notation looks like this 5.92 × 10^5
Hope this helps!!
Answer:
5.92 x 10^5
Step-by-step explanation:
The product of the two is 592000 and to do scientific notation you put the decimal after the first number and however many numbers are after that decimal is the number 10 is to the power of. To know if the exponent after the ten is positive or negative if you move the decimal to the right in order to make it the original number it is positive, and if you have to move it to the left then you have a negative exponent after the 10.
ALGEBRA Evaluate the expression if x = –8, y = 7, and z = –11.
x – 7
Answer:
-15
Step-by-step explanation:
x= -8 (-8)-7= -15
find the equation of this line
Answer:
y= 1x-2
Step-by-step explanation:
The slope is 1.
The y- intercept is (0,-2)
In the equation
y= 1x-2
Hope this helps!
Which is a solution of 3(x + 4) - x > 4 ?
a. -6
b. -5
c. -4
d. -3
How many more games will it take until tom and will have scored the same number of points
Answer:
Both players will need to play 7 more games to have the same score.
Step-by-step explanation:
Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.
We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.
Let's call x to the number of games that both players will play. Will will have a number of points equal to:
W = 483 + 18x
And Tom will have:
T = 462 + 21x
For both number of games to be equal, the equation to solve is:
483 + 18x= 462 + 21x
Move 18x to the right side and 462 to the left side:
483 - 462 = 21x - 18x
Operating:
21 = 3x
x = 21 / 3 = 7
Thus, both players will need to play 7 more games to have the same score.
Sara ate 314 of a cup of grapes at breakfast and 213 of a cup of fruit salad a
lunch. Later she ate 314 of a cup of orange slices. Did Sara eat more than 2 cups
of fruit in total? *
yes
no
Answer:
yes because when you add the fractions together you get 8 5/6
A line contains the points (45, - 52) and (48, -65). What is the slope of the line in simplified form?
The slope of the line is -13/3
Step-by-step explanation:
Equation for slope- change in y over change in x
-65-(-52) over 48-45 ... which simplifies to -13 over 3
... -13/3
-7x+3y=1 and 3y+12=-6
Answer:
the sums are given in explainationhope you like the answerplease mark the answer as brainliestJohn is saving money for a digital camera
that cost $490. So far, he saved $175. If
he will save $50 per week, how many more
weeks does he need to save to buy the
camera? Which of the following
represents the right inequality?
Answer
7 weeks
Step-by-step explanation:
$490 - $175 = $315
John needs $315 still for the camera
divdie $315 by $50 and you get 6.3 but because it cant be 6 weeks he would be short $15 you would have to wait an additional week in order to cover the cost of the camera completly.
Brainliest please!!!!
What is the other term for integers
The average person blink 15 to 20 times per minute how many times does the average person blink in an hour
Answer:
900-1200
Step-by-step explanation:
mutpliy by 60
Determine which scenario could be found using P(A) = (5C2)(8C1)/13C3
Answer:
C) Probability of choosing two male and one female committee members from a group containing five men and eight women.
Step-by-step explanation:
correct on edge
6
∑
n=0 (−2n^2 +3n)
PLEASE HELP
16 x 21 + 5
pls answer
Answer:
341
Step-by-step explanation:
Answer:
341
Step-by-step explanation:
What is the value of f(-2)?
Can someone help me out with this ?
Answer:
i need points plz
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(3) = 2*x - 4 = 2*3 - 4 = 6 - 4 = 2
g(5) = -4x + 3 = -4*5 + 3 = -20 + 3 = -17
(2x + 25) (5y) (3x - 10) solve for x and y
Answer:
x=35 y=17
Step-by-step explanation:
2x+25=3x-10
3x-2x=25+10
x=35
(3x-10)+(5y)=180
(3(35)-10)+(5y)=180
95+5y=180
5y=180-95
y=85/5
y=17
What would D,E, I need help with these questions
Answer:
D - 43°
E - 43°
Step-by-step explanation:
In squares all sides are equal, which means one of these angles are given and neither one leave the square, so 43° would be the degree of each angle inside this square.
:•D
Frederick Douglass was born a slave in Maryland.
Answer:
That is a fact i think but let me reaserch for that and tomorrow i will give you an answere
Answer:
He was born a slave, circa 1817;
Step-by-step explanation:
Jason and Eddy are traveling from Jacksonville to Miami, which is a distance of 382 miles. According to the American Automobile Association (AAA) map, it takes 1 hour and 54 minutes to travel from Jacksonville to Daytona, 2 hours and 51 minutes to travel from Daytona Beach to Fort Pierce, 1 hour and 23 minutes to travel from Fort Pierce to West Palm Beach, and 1 hour and 38 minutes to travel from West Palm Beach to Miami. If Jason and Eddy follow the AAA guidelines, what would be their average speed (in mph) for the trip
Answer:
The value is [tex]v = 49.23 \ mph[/tex]
Step-by-step explanation:
From the question we are told that
The distance from Jacksonville to Miami is d = 382 miles
The time it take to travel from Jacksonville to Daytona is [tex]t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours[/tex]
The time it take to travel from Daytona Beach to Fort Pierce is [tex]t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours[/tex]
The time it take to travel from Fort Pierce to West Palm Beach is
[tex]t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours[/tex]
The time it take to travel from West Palm Beach to Miami [tex]t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours[/tex]
Generally the average speed is mathematically represented as
[tex]v = \frac{d}{t_1 + t_2 +t_3 + t_4 }[/tex]
=> [tex]v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }[/tex]
=> [tex]v = 49.23 \ mph[/tex]
Help only right answers get brainliest!
Answer:
Rise over run y over x
Step-by-step explanation:
-7 divided by -2
5 divided by 3
These will get you the slope
3.) rewrite r(x) in expanded form
Answer:
Step-by-step explanation:
r(x)= (x-3)(x+5)
= x²+5x-3x-15
=x²+2x-15
Answer:
[tex]{\huge{\pink{\underline{\underline{QuEsTiOn}}}}}[/tex]
rewrite r(x) in expanded form
[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]
[tex](x-3)(x+5)\\
=>x(x + 5) - 3(x + 5) \\
= > {x}^{2} + 5x - 3x + 15\\
=> {x}^{2} + 2x + 15 [/tex]
How many ways are there to put 5 balls in 3 boxes if the balls are not distinguishable but the boxes are
Answer: 5
Here are some ways:
1 ball, 2 balls, 2 balls2 balls, 1 ball, 2 balls3 balls, 1 ball, 1 ball1 ball, 3 balls, 1 ball1 ball, 1 ball, 3 ballsHope this helps!
There 720 ways are there to put 5 balls in 3 boxes.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Given:
Number of balls= 5
Number of boxes = 3
As, balls are not distinguishable but the boxes are then number of ways can be
= 3! 5! / C(5, 5)
= 3 x 2 x 5 x 4 x 3 x 2
= 720 ways
Learn more about Combination here:
https://brainly.com/question/29594894
#SPJ2
A lamp was originally sold for $120.00. How much does it cost after a 20% discount??
Answer:
96
Step-by-step explanation:
the final value is 96 dollars