Answer:
3n-7=2n+5
Step-by-step explanation:
The equation is : 3n-7=2n+5
3n-2n=12
n=12
Hope I helped!
Determine if the equations are parallel, perpendicular or neither. -9y=-3x+18 and 2x-6y=30
Answer:
The answer is They are parallel
Step-by-step explanation:
They have the same slope but different y-intercepts
y = 1/3x - 2
y = 1/3x - 30
pls mark me as brainliest
Answer: Parallel
Step-by-step explanation: They never cross therefore making the two equatons parallel lines
Find x (Type the number answer)
Answer:
18.41
Step-by-step explanation:
[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]
Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
33 texts
Step-by-step explanation:
34.99+0.15(t)=40
lets say t is number of texts
subtract 34.99 from both sides
0.15(t)=$5.01
divide 5.01 by .15
33.4
but you cant send .4 of a text
so 33 texts
I’m not sure how to do this, someone please help.
Answer:
A
Step-by-step explanation:
Answer: It is E (3, -7)
The punch layout for a piece of 12 gage sheet metal is as shown. What is the area of the cross hatched center "star" shape ? Show all calculations! circle radius 1 foot Not drawn to scale I
Answer:
.86 square feet.
Step-by-step explanation:
Directions
You have to do this by following directions.
1, Go one circle to your right. Make it the top circle.
2, Drop a perpendicular from the circle you've just been directed to.
3. Draw until you hit the center of the circle below the circle you started your line from. You should get a square.
Find the area of the square.
Each side of the square is 2 feet. You get that because the side of the square = 2 radii -- one radii from the two circles in the center.
Area Square = s^2
Area Square = 2 * 2
Area Square = 4
Find the are of the circles
The 4 central circles that are touching (2 to the left and 2 to the right) are each are 1/4 of a full circle. 4 * 1/4 circle Area = 1 full circle.
Area = pi * r^2 = 3.14 * 1^2 = 3.14
Find the area of the star
Area of the star = area of square - area of circle.
Area of the star = 4 - 3.14
Area of the star = .86 sqr feet
I need help on this one
Answer:
A
Step-by-step explanation:
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
A 10-pound mixture that would sell for $80?
Answer:
six plastic bricks and four wooden blocks
Step-by-step explanation:
plastic bricks=10
wooden blocks:5
lets make plastic x and wooden y
if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.
Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)
1. m = -5, b=1
2. ( 1, -2), (3, 3)
3. (-2, 0) and (0, 5)
4. a = 2, b = -7
5, m = 2, (3, -1)
Answer:
1) The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.
2) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].
3) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].
4) The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.
5) The slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex]. The standard form of the line is [tex]-2\cdot x +y = -7[/tex].
Step-by-step explanation:
From Analytical Geometry we know that the slope-intercept form of the line is represented by:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the standard form of the line is represented by the following model:
[tex]a\cdot x + b \cdot y = c[/tex] (2)
Where [tex]a[/tex], [tex]b[/tex] are constant coefficients, dimensionless.
Now we process to resolve each problem:
1) If we know that [tex]m = -5[/tex] and [tex]b = 1[/tex], then we know that the slope-intercept form of the line is:
[tex]y = -5\cdot x + 1[/tex] (3)
And the standard form is found after some algebraic handling:
[tex]5\cdot x +y = 1[/tex] (4)
The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.
2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(1,-2)[/tex] and [tex](x_{2},y_{2}) = (3,3)[/tex], then we construct the following system of linear equations:
[tex]m+b= -2[/tex] (5)
[tex]3\cdot m +b = 3[/tex] (6)
The solution of the system is:
[tex]m = \frac{5}{2}[/tex], [tex]b = -\frac{9}{2}[/tex]
The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex].
And the standard form is found after some algebraic handling:
[tex]-\frac{5}{2}\cdot x +y = -\frac{9}{2}[/tex]
[tex]-5\cdot x +2\cdot y = -9[/tex] (7)
The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].
3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(-2,0)[/tex] and [tex](x_{2},y_{2}) = (0,5)[/tex], then we construct the following system of linear equations:
[tex]-2\cdot m +b = 0[/tex] (8)
[tex]b = 5[/tex] (9)
The solution of the system is:
[tex]m =\frac{5}{2}[/tex], [tex]b = 5[/tex]
The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex].
And the standard form is found after some algebraic handling:
[tex]-\frac{5}{2}\cdot x+y =5[/tex]
[tex]-5\cdot x +2\cdot y = 10[/tex] (10)
The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].
4) If we know that [tex]a = 2[/tex] and [tex]b = -7[/tex], then the standard form of the family of lines is:
[tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex]
And the standard form is found after some algebraic handling:
[tex]-7\cdot y = -2\cdot x +c[/tex]
[tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex], [tex]\forall \,c\in\mathbb{R}[/tex] (11)
The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.
5) If we know that [tex](x,y) = (3,-1)[/tex] and [tex]m = 2[/tex], then the y-intercept of the line is:
[tex]3\cdot 2 + b = -1[/tex]
[tex]b = -7[/tex]
Then, the slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex].
And the standard form is found after some algebraic handling:
[tex]-2\cdot x +y = -7[/tex] (12)
The standard form of the line is [tex]-2\cdot x +y = -7[/tex].
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer and Step-by-step explanation:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
if two thirds of a number is 56, what is three-quarters of that number?
Answer:
84
Step-by-step explanation:
56/2 = 28
28 x 3 = 84
To check work: 84/3 =28
Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.
Answer:
The numbers are 50, 51, and 52.
Step-by-step explanation:
The consecutive integers are (x-1), x, and (x+1).
6*(x-1+x)-(x+1)=452+2x
6x-6+6x-x-1=452+2x
9x = 459
x=51
The numbers are 50, 51, and 52.
Im so confused pls help
Step-by-step explanation:
[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]
[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]
f(x) = g(x)
[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]
4x - 21 = 2
x = (21 + 2)/4
x = 5.75
(-4/3)x -6 =26
solve for x
Answer:x =24
Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24
Answer:
x = -24
Step-by-step explanation:
(-4/3)x -6 =26
Add 6 to both sides:
(-4/3)x = 32
(-4/3) = -1.33333333
divide both sides by -1.33333333
x = -24
Substitute:
(-4/3)(-24) -6 =26
32 - 6 = 26
26 = 26
x = -24
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
For more information, refer to the link given below:
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What is 4.9 x 10 -3 in standard form?
Answer:
0.0049
Step-by-step explanation:
Which relation is a function?
Answer:
Bottom right
Step-by-step explanation:
Each domain value can only have 1 range value.
1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck
Answer:
z = -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
z+7=−z+1
Step 2: Add z to both sides.
z+7+z=−z+1+z
2z+7=1
Step 3: Subtract 7 from both sides.
2z+7−7=1−7
2z=−6
Step 4: Divide both sides by 2.
2z = −6
2 2
z=−3
Answer:
Why you delete my answer
Step-by-step explanation:
what is -2(15 ÷ 5) + 7(-2)
Answer:
-20
Step-by-step explanation:
Model 3+ (-4) on the number line
Answer:
-1
Step-by-step explanation:
If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining
Answer:
-1
Step-by-step explanation:
Simplify: 3 - 43 - 4 = -1Mark -1 on the number lineI hope this helps!
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE
Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B. 3:24, D. 5:40 E.7:56
Step-by-step explanation:
3:24 = 1:8 (Dividing by 3)
5:40 = 1:8 (Dividing by 5)
7:56 = 1:8 (Dividing by 7)
The ratios that are equivalent to 1:8 are:
3:24, 5:40, and 7:56.
Options B, D, and E are the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
A)
16:2
= 16/2
= 8/1
= 8:1
B)
3:24
= 3/24
= 1/8
= 1:8
C)
4:12
= 4/12
= 1/3
= 1:3
D)
5:40
= 5/40
= 1/8
= 1:8
E)
7:56
= 7/56
= 1/8
= 1:8
Thus,
3:24, 5:40, and 7:56 are equivalent to 1:8.
Learn more about ratios here:
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HELP PLEASE GET BRAINLIST!!
solve for x,
90 - 3/2x ≤ 30
Answer: x>- -40
Step-by-step explanation:
When Kim works 40 hours in a week, she earns $560. If she works only 35 hours, how much should she expect to earn?
Answer:
$490
Step-by-step explanation:
$560 divided by 40 is $14 an hour and 14 times 35 is 490, so $490.
Answer:
£490
Step-by-step explanation:
So you do 560 divided by 40, which is 14 then you × 35 by 40 =£490.
Which best describes independent events?
The results of all events have different individual probabilities.
The results of any previous events affects the probability of future events.
The results of all events have the same individual probability.
The results of all previous events do not affect the probability of future events.
The statement (D) The results of all previous events do not affect the probability of future events best describes independent events option (D) is correct.
What is independent events?An independent event is one that is unaffected by other events. The occurrence of one event has no bearing on the other.
We have a statement:
Which best describes independent events?
As we know from the definition of independent events, the events that is unaffected by other events.
Also, the probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Thus, the statement (D) The results of all previous events do not affect the probability of future events best describes independent events option (D) is correct.
Learn more about the independent events here:
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Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
8x + 8 = 180 help me please
Answer:
Step-by-step explanation:
8x=180-8
8x=172
8x/8=172/8
x=21.5
Answer:
43/2
Step-by-step explanation:
Move Constant to the left
8x+8=180
calculate
8x=180-8
divide bothsides
8x=172
Answer
z=43/2
A company makes 130 bags.
49 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
130-49 = 81
Answer 81/130
The probability that the bag has buttons is 0.38.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, a company makes 130 bags.
Here, the number of favorable outcomes = 49 and the total number of outcomes =130
Now, probability of an event = 49/130
= 0.38
Therefore, the probability that the bag has buttons is 0.38.
To learn more about the probability visit:
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9. a - 2a +5
pls help i’m kinda dumb
solve the question.
Answer: 1
[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]
Step-by-step explanation:
when have I ever done this leave me alone please
Answer:
zusvhzbzhz
Step-by-step explanation:
zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs
Answer:
ok I will leave u alone
Step-by-step explanation:
(•ө•)♡