Answers
4x -3(2x-3) = 31
distribute the -3(2x-3)
4x-6x+9 = 31
combine 4x-6x
-2x +9 = 31
subtract 9 from each side
-2x = 22
divide both sides by -2 to get x
x = 22 / -2 = -11
x = -11
now replace x in the first equation with -11 to solve for y
y = 2(-11) -3
y = -22 -3
y = -25
x = -11, y = -25 which is (-11,-25) so A is the correct answer
30) the solution is where the 2 lines cross which is at X = 2 and Y = 4 which is (2,4) so B is the correct answer
Related Questions
What percent of data set is represented in Q1
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100 points! Evaluate the equation. Look at the picture. Do #7.
Answers
There are 210 ways to choose 6 from a group of 10.
What is the solution of the equation 2 + 3x = 7? round your answer to the nearest ten-thousandth. 0.2218 0.4522 0.6826 1.4650?
Answers
The solution to the equation 2 + 3x = 7 is x = 5/3. When rounded to the nearest ten-thousandth, the answer is 1.6667.
To find the solution to the equation 2 + 3x = 7, you first isolate the variable x by subtracting 2 from both sides of the equation.
This gives you 3x = 5.
Next, you divide both sides of the equation by 3 to solve for x, which yields x = 5/3.
When you divide 5 by 3 using a calculator, you get 1.66666666...
Since we need to round our answer to the nearest ten-thousandth, this becomes 1.6667.
Therefore, the solution to the equation 2 + 3x = 7, rounded to the nearest ten-thousandth, is 1.6667.
A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?
Answers
PLEASE HELP!
A circle is centered at (11, −9) and has a radius of 12.
What is the equation of the circle?
Enter the equation in the box using lower case variables x and y.
Answers
(x-11)² + (y+9)² = 144
Explanation:
The general form of the equation of the circle is:
(x-h)² + (y-k)² = r²
where:
h is the x-coordinate of the center
k is the y-coordinate of the center
r is the radius of the circle
In the given, we have:
x-coordinate of the center = h = 11
y-coordinate of the center = k = -9
radius of circle = r = 12
Substitute with the givens in the above formula to get the equation as follows:
(x - (11))² + (y - (-9))² = (12)²
(x-11)² + (y+9)² = 144
Hope this helps :)
Which solid has a volume that is 3 times the volume of a cone with the same base and height?
a.cylinder
b.prism
c.pyramid eliminate
d.sphere?
Answers
The formula for volume of a cone = 1/3 π r² h
The formula for volume of a cylinder = π r² h
If the exchange rate changes from $1.45 = 1 euro to $1.37 = 1 euro, then
Answers
Jesse made a model of a mountain range for class. to do this, he bought a cylinder of cardboard and cut it into three cones. each cone is 5 inches tall and has a diameter of 4 inches. what was the volume of the original cylinder jesse bought in terms of \piπ?
Answers
V = (1/3) (π) (r ^ 2) (h)
Substituting values we have:
V = (1/3) (π) ((4/2) ^ 2) (5)
V = (20/3) (π)
Then, the volume of the cylinder is:
Vc = 3 * V
Vc = 3 * (20/3) (π)
Vc = 20π
Answer:
the volume of the original cylinder jesse bought is:
Vc = 20π
The volume of the original cylinder that Jesse bought is 20π cubic inches.
To find the volume of the original cylinder Jesse bought, we need to use the volume formula for a cylinder:
V = πr²h
First, we need to find the volume of each cone using the formula:
Volume of a cone = (1/3)πr²h
Given:
Height(h) of each cone = 5 inchesDiameter of each cone = 4 inches, so the radius(r) = 4/2 = 2 inchesVolume of one cone:
V_cone = (1/3)π(2)²(5) = (1/3)π(4)(5) = (20/3)π cubic inches
Total volume of three cones:
V_total_cones = 3 × (20/3)π = 20π cubic inches
Since the volume of the cylinder equals the total volume of the cones:
V_cylinder = 20π cubic inches
Find the possible values of the included angle of a triangle with: A) sides of length 5 cm and 8 cm, and area of 15 cm^2
B) sides of length 45 km and 53 km, and area 800 km^2.
Answers
The area of a triangle can be calculated by applying the law of sines
Area=(1/2)*a*b*sin C-----> sin C=2*A/[a*b]
Part a) sides of length 5 cm and 8 cm, and area of 15 cm^2
a=5 cm
b=8 cm
A=15 cm²
sin C=2*A/[a*b]------> sin C=2*15/[5*8]----> sin C=3/4
C=arc sin (3/4)-----> C=48.59 degrees
the possible values of the included angle are
C1=48.59°
C2=180°-48.59----> C2=131.41°
the answer Part a) is
48.59° and 131.41°
Part b) sides of length 45 km and 53 km, and area 800 km^2
a=45 km
b=53 km
A=800 km²
sin C=2*A/[a*b]-----> sin C=2*800/[45*53]----> sin C=0.6709
C=arc sin (0.6709)-----> C=42.13°
C1=42.13°
C2=180-42.13°----> C2=137.87°
the answer part b) is
42.13° and 137.87°
The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius
Answers
area of the circle=pi*r²
if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units
the answer is
the radius is 6.46 units
1. What is the value of x in the equation –6 + x = –2?
A. 4
B. –8
C. 8
D. –4
2.
How many solutions does the equation –3a + 3a + 6 = 7 have?
A. Infinitely many
B. Two
C. One
D. None
3.
What is the solution to the equation 1.2m – 0.8 = –2.0m?
A. m = 0.25
B. m = 4
C. m = 1
D. m = 0.4
4.
How many solutions does the equation 4p + 7 = 3 + 4 + 4p have?
A. Two
B. Infinitely many
C. None
D. One
5.
What is the value of y in the equation 2(2y – 12) = 0?
A. 4
B. 8
C. 7
D. 6
6.
What is the value of z in the equation 2(4z – 9 – 7) = 166 – 46?
A. 19
B. 34
C. 26
D. 21
7.
Which of these is a simplified form of the equation 7y + 7 = 9 + 2y + 2y?
Answers
2. D. If you simplify the a terms you will get 6 = 7 which is never true.
3. A. Subtract 1.2m from both sides and then divide to solve.
4. B. If you simplify you get 7 = 7 which is always true.
5. D. Distribute the 2 and then add the 24 to both sides. Then divide to solve.
6. A. Simplify the right side and then divide all by two. Then add 16 to both sides and divide by 4.
7. 3y - 2
A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she launches 6 of them what’s the probability that 2 of them will be blue
Answers
[tex] \displaystyle
|\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\
|A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\
P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\% [/tex]
Prove that x²+6x+18 is always greater than
[tex]2 - \frac{1}{x} [/tex]
For any value of x.
Answers
You could also do this algebraically: write the inequality
x^2+6x+18 > 2 -1/x. This can be rewritten as x^2+6x+18-2+1/x > 0, or
x^2+6x+16+1/x > 0
Try x=-3. Then 9-18+16-1/3 = 6 2/3, which is greater than 0.
Or you could graph x^2+6x+16+1/x by hand or on a calculator. Is the graph always above the x-axis? If so, x²+6x+18 is always greater than 2-1/x.
Fórmula para sacar el área de un circulo
Answers
[tex] A = \pi r^2 [/tex]
The ratio of men to women working for a company is 4 to 5. if there are 52 men working for the company, what is the total number of employees?
Answers
so 117 employees
In which quadrant of the coordinate plane is (-2a - 3, -3b - 5), if a = -3 and b = 3?
Answers
- 2a - 3 = -2(-3) - 3 = 6 - 3 = 3
-3b - 5 = -3(3) - 5 = -9 - 5 = -14
(3, -14)
answer:
quadrant IV
After substituting a = -3 and b = 3 into the point (-2a - 3, -3b - 5), we get the point (3, -14), which lies in the fourth quadrant of the coordinate plane.
To determine in which quadrant of the coordinate plane the point (-2a - 3, -3b - 5) is located, we substitute the values a = -3 and b = 3 into the coordinates. First, for the x-coordinate we have:
-2(-3) - 3 = 6 - 3 = 3
And for the y-coordinate:
-3(3) - 5 = -9 - 5 = -14
The resulting point is (3, -14), which is located in the fourth quadrant because the x-value is positive and the y-value is negative.
write an inequality for the following situation
No more than 8 books are in your bag
A. x ≤ 8 B. x < 8 C. x ≥ 8 D. x > 8
Answers
12,349 is what percent of of 278,901
Answers
Answer: 4.43%
Factor this trinomial.
x2 – 8x + 15
A. (x – 1)(x – 15)
B. (x – 3)(x + 5)
C. (x – 3)(x – 5)
D. (x – 1)(x + 15)
Answers
x^2-5x- 3x +15=0
x(x-5) -3 (x-5)
(x-5)(x-3)
To factor x^2 -8x + 15, we find two numbers that multiply to get 15 and add to get -8. These two numbers can be -5 and -3. Therefore, this factors as
x^2 - 8x + 15 = (x-5)(x-3)
PLS HELP ME ASAP WITH THESE! THANKS!!
(Brainliest will be given hopefully)
(Random answers gets moderated.)
Answers
2. Whenever you're counting things, the appropriate set of numbers to use is "whole numbers." Both people (domain) and devices (range) are objects being counted, so the appropriate choices are ...
2) whole numbers
A pizza shop offers 12 different topping choices. if you order a large pizza with two toppings, how many possibilities would you have?
Answers
The number of combinations of 12 things take 2 at a time is
12C2
=(12!)/[(12-2)!2!]
=(12!)/(10!*2!)
=12*11/2
=66
Answer: 66
An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer?
Answers
The probability is 8/18 or 44%.
Since there are 3 sculptors and 5 photographers, and the question is asking for either a sculptor or photographer, you add them together. There are a total of 18 artists, and the probability is the chance of a certain thing happening over the total amount of things that can happen (i.e. a coin landing on heads is 50%).
The answer would be 8/18.
3+5=8
18 is the total number of artists.
Ok My last 2 questions please!!!
Answers
the asymptote of the function is 0
The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\
Answers
d = root ((w) ^ 2 + (h) ^ 2)
Where,
w: width
h: height
In addition we have the following relationship:
h / w = 8/15
Thus,
For the width:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
For the high:
d = root (((15/8) h) ^ 2 + (h) ^ 2)
Answer:
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
d = root (((15/8) h) ^ 2 + (h) ^ 2)
The probability that the Cubs win their first game is 1/3. The probability that the Cubs win their second game is 3/7. What is the probability that the Cubs win games?
Answers
The correct answer is:
1/7.
Explanation:
The two events, the Cubs winning their first game and the Cubs winning their second game, are independent. This is because the Cubs winning their first game does not affect the probability of the Cubs winning their second game.
Since the events are independent, to find the probability that both events occur, multiply the probabilities:
1/3(3/7) = (1*3)/(3*7) = 3/21 = 1/7
write the expression in complete factored form, 4c(y+3)+(y+3)
Answers
=(y+3)(4c + 1)
answer
(y+3)(4c + 1)
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
A. 25%
B. 42.2%
C. 50%
D. 72.2%
Answers
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
A number line contains points Q, R, S, and T
Point Q is on the coordinate 24
Point R is on the coordinate 28
Point S is on the coordinate 29
Point T is on the coordinate 42
So, According to given condition,
QT is on the coordinate is given by
[tex]42-24=18[/tex]
ST is on the coordinate is given by
[tex]42-29=13[/tex]
So, probability that a point chosen at random on QT is on ST is given by
[tex]\frac{13}{18}\times 100\\\\=72.22\%[/tex]
Hence, option 'D' is correct.
You and your friend Sam are going to paint your 300 square feet room together.
Sam takes 10 minutes to paint 25 square feet.
You take 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take us 15 minutes to paint 50 square feet!''
Write a EXCEPTIONAL explanation to convince Sam that he is wrong. Thank You.
Answers
10/25=2/5
Fraction that you painted in 1 min:
5/25=1/5
Fraction pained by both in 1 min:
1/5+2/5=3/5 ft²/min
Time taken to paint 50 ft² will be:
time=3/5×50=30 min
Thus we conclude that Sam was wrong.
What is compound interest?
A - the interest earned on the principal of an investment
B - the interest earned on both the principal and interest of an investment or savings account
C - the interest earned on a mutual fund
D - the interest earned on a loan
Answers
The correct answer is
The interest is earned on the principal and interest earned previously
:)
Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)? A) 6 B) 12 C) 23 D) 25
Answers
List what you know about the problem so far:
1 min = 2 gal
So, now that we know that, we can list what we need to solve:
x min = 24 gal
Now, you can simply divide 24 by 2 to get the number of minutes it would take to fill up 24 gallons.
24 ÷ 2 = 12
So,
x = 12
So,
12 min = 24 gallons
It would take 12 minutes to fill the 24 gallon holding pool. Which mean the coordinate point would be (12, 24).
Your answer should be B ) 12
The unit rate is gallons per minute, which in this case is 2 gallons per minute. Therefore it will take 12 minutes to fill up a 24 gallon pool.