9 (4x - 6) = 2(-3 - 2x)
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
7x-15y=2 , x+2y=3 By subtition method
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Rewrite the equation by completing the square.
x? - 8x + 7 = 0
(x + __)^2 = 0
Answer:
(x - 4)² - 9 = 0
Step-by-step explanation:
x² - 8x + 7 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
x² + 2(- 4)x + 16 - 16 + 7 = 0
(x - 4)² - 9 = 0
write the following equations in the statement form...
1) 2a + 7 =15
pls ans fast but as statement form
Answer:
4 or 2 times unknown number added with 7 it gives 15
Step-by-step explanation:
2a+7=15
2a=15-7
2a=8
a=4
Answer:
2a+7=15
2a=15-7
2a=8
2a/2=8/2
a=4
Mr smith’s Pizza parlor
The questions are not readable. try uploading a better picture.
Paul and Kelly are throwing darts at the hexagonal dartboard shown below. Paul told Kelly that if they throw darts at the board 100 times, of them should hit a 5.
If the prediction holds true, approximately how many times would their darts hit a 5?
Shown & Given:
The dartboard holds 5 in the maximum space.
Known:
Out of 100, it is know that they will hit 5 more than 50 times.
Possible Answers:
55, 66, or 77.
The most likely one is:
66
Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
Find the slope of the table.
Answer:
Slope= -4
Step-by-step explanation:
Slope is rise over run (y over x)
So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.
So, the slope can be written as:
-8/2
Simplified to -4/1 or just -4
I need help with this pls
Answer:
what is the imaginary part of 84-25i
Step-by-step explanation:
the result is -25i
I hope I've helped
3/4+4y÷3;y=1 1/22 please help
Answer:3
4
+
4
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y
3
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.
3
4
+
4
(
y
3
)
=
4
y
3
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3
4
y
=
11
22
=
=
1
2
Step-by-step explanation: :)
Find the perimeter. Simplify your answer.
Answer:
20v-6
Step-by-step explanation:
To find the perimeter we have to add up all of our sides
9v-6+9v-6+2v+6
Combine light terms
20v-6
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have? I have to use either the strategy of elimination or substitution to solve this. I realize that the first equation is m + d = 132. But I don’t get what the second equation should be!
Answer:
D+M=132?
Sorry if this is not helpful. I tried my best
what is 5/11 closest too
Answer:
__
0.45
__
__ means it's on-going, so 0.45454545
Is that the right answer
Answer:
I believe so!
Step-by-step explanation: makes since to me!!
answer this question. (5.6)(1.8)
20% tip on a bill of $22.41
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
The slope of the line that passes through the points (0,3) and (5,13) is
Answer: The slope is 2
Step-by-step explanation:
The slope is the Rise (the change in y) over the Run (the change in x).
We can calculate the Rise and Run from the two given points:
(0.3) and (5,13)
Rise = (13 - 3) = 10
Run = (5 - 0) = 5
Rise/Run = 10/5 = 2: the slope is 2.
The equation for this line is y = 2x + b. The y-intercept, b [from the general form y=mx+b (where m is the slope)] is the value of y when x=0. The point (0,3) says y=3 when x=0, so b = 3.
y = 2x + 3.
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Kacie swam for 12 hours this week at YMCA pool. 25% of her pool time was spent on tree swim. The rest was in swimming classes. How many hours did Kacie spend in swimming classes?
Answer:
9 hours
Step-by-step explanation:
25% of 12 is 1/4 of 12.
12/4 is 3.
25% of 12 is 3.
12-3=9
The measures of angles x and y in the above figure is:
Step-by-step explanation:
sum of 2 angles on a straight line = 180°
therefore,
y + 120 = 180
y = 180 - 120 = 60
y = 60°
now apply angle sum property of triangle
now,
50 + x + y = 180
50 + x + 60 = 180
110 + x = 180
x = 180 - 110
x = 70
therefore, x = 70 & y = 60
hope this answer helps you dear! take care
Answer:
x = 70°
y = 60°
Step-by-step explanation:
hope it helps u
plzz plzz pLZZ MARK AS BRAINLIEST
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks
Answer:
840 Ounces
Step-by-step explanation:
4 weeks has 28 days. { 4 * 7 = 28 }
because an infant eats about 30 ounces of milk per day.
So 30 * 28 = 840 ounces
The baby drank about 840 ounces in 4 weeks.
The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.
Given that, an infant drinks about 30 ounces of milk per day.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Here, number of days in 4 weeks = 4×7
= 28 days
Number of ounces of milk drank by infant
= 28×30
= 840 ounces
We know that, 32 ounces = 1 quarts
So, 840 ounces = 840/32
= 26.25 quarts
Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ2
This is not urgent, so thank you even if you don’t help.
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
What is a standard form equation of the line through (0,-3) with slope 2/5?
Answer:
-1 = -1
Step-by-step explanation:
y = mx + b
y=-3 x=0 and m=2/5
-3 = (2/5)0 + b
Since 2/5(0) is 0, b must be -3.
So the equation is y = (2/5)x - 3
Add the slope to the given point and you get (5, -1)
-1 = (2/5) 5 - 3
-1 = 2 - 3
-1 = -1
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
it's rise/run 3/2
Step-by-step explanation:
you rise positive 3 and run 2
Solve 2x^2 + 5x – 3 = 0
Answer:
Step-by-step explanation:
Differentiate y = csc(x)cot(x).
Answer:
[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringFunctions
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \csc (x) \cot (x)[/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[\csc (x)] \cot (x) + \csc (x) \frac{d}{dx}[\cot (x)][/tex]Trigonometric Differentiation: [tex]\displaystyle y' = - \csc (x) \cot (x) \cot (x) + \csc (x) \big[ - \csc ^2 (x) \big][/tex]Simplify: [tex]\displaystyle y' = - \csc (x) \cot^2 (x) - \csc^3 (x)[/tex]Factor: [tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answer:
The answer is 2.70
Step-by-step explanation:
18+2.70= 20.70
20.70-2.70=18
need help with homework please help asp
Answer:
The answer for this particular question is (5,-8)
Please help asap and please no links or answering just for points!! I’m already stressed :(
Answer:
let the number be x
wo a/q we have,
4x + 5 = 7
hope this answer helps you dear! take care