Answer:
{x,y} = {7,-9/2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 25-x=-4y
[2] 3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
Answer:
x=7, y=-4.5 or (7, -4.5)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
25-x=-4y
3x-2y=30
Before we do anything, let's move our x and y values to one side, while keeping the numbers on the other side
So for 25-x=-4y, start by adding 4y to both sides
25-x=-4y
+4y +4y
_____________
25 + 4y - x = 0
Now subtract 25 from both sides
4y - x = -25
Now the system is this:
4y-x=-25
3x-2y=30
We can solve this equation by substitution, where we solve one of the equations for one of the variables, and then use the expression that the variable is equal to, in order to find the value of the other variable. Then, once the value of that variable is found, use that value to find the value of the first variable.
Start with 4y-x=-25
Subtract 4y from both sides
-x=-4y-25
Now multiply both sides by -1
x=4y+25
Substitute 4y+25 as x in 3x-2y=30
3(4y+25)-2y=30
Multiply
12y+75-2y=30
Simplify
10y+75=30
Subtract 75 from both sides
10y=-45
Divide both sides by 10
y = -4.5
Now substitute -4.5 as y in x=4y+25
x=4(-4.5)+25
Subtract
x= -18 +25
x= 7
The answer is x=7, y=-4.5. As a point, it's (7, -4.5)
Hope this helps!
See more on solving systems of equation here: https://brainly.com/question/24420448
Write 2 In 6 + 3 In 4 - 5 In (1/3) as a single logarithm
Answer:
ln 559872
Step-by-step explanation:
2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵
= ln 36 + ln 64 - ln 1/243
= ln [(36×64)/(1/243)]
= ln 559872
write down
the largest 5 digit
and factorize it.
Answer:
99999
Five Digit Numbers
The smallest five-digit number is 10000 and the greatest five-digit number is 99999.
Step-by-step explanation:
NEED HELP ASAP!!! GIVING BRAINLIEST+20 POINTS TO B4ST ANSWER FOR THESE 2 QUESTIONS!! YOU CAN DO IT! :D
1. Solve two thirds times two thirds.
1.two ninths
2.two sixths
3.four ninths
4.four over one
2. Matt is painting a mural on a 1-square meter section of a wall. He has completed a rectangular part of the mural that is four sixths of a meter wide and two fifths of a meter tall. What part of the mural has been completed?
1. four fifths
2. eight sixths
3. six elevenths
4. eight thirtieths
Answer:
See below ↓↓
Step-by-step explanation:
1.
2/3 x 2/3Numerator (N) = 2 x 2 = 4Denominator (D) = 3 x 3 = 9Fraction = N/D = 4/9⇒ 3. four ninths2.
Area completed = 4/6 x 2/5Numerator (N) = 4 x 2 = 8Denominator (D) = 6 x 5 = 30Fraction = N/D = 8/30 ⇒ 4. eight thirtiethsExplanation:
[tex]\bold{two \ third \ refers \ to }\ \ \boxed{\sf \frac{2}{3}}[/tex]
[tex]\hookrightarrow \sf \dfrac{2}{3} *\dfrac{2}{3}[/tex]
[tex]\hookrightarrow \sf \dfrac{2*2}{3*3}[/tex]
[tex]\hookrightarrow \sf \dfrac{4}{9}[/tex]
answer: four ninths
2nd
area of the finished part:
Length * Width
[tex]\hookrightarrow \sf \dfrac{4}{6} * \dfrac{2}{5}[/tex]
[tex]\hookrightarrow \sf \dfrac{4*2}{6*5}[/tex]
[tex]\hookrightarrow \sf \dfrac{8}{30}[/tex]
answer: eight thirtieths
Fiona is studying how income taxes impact various families and their finances. She creates a table with various amounts of taxes owed and estimates that this represents 9% of each family’s gross income.
Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.
What is a proportion?A proportion is a fraction of a total amount.
Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:
Family 1:
0.09I = 60.30.
I = 60.30/0.09
I = $670.
Family 2:
0.09I = 82.80.
I = 82.80/0.09
I = $920.
Family 3:
0.09I = 135.00.
I = 135.00/0.09
I = $1500.
Family 4:
0.09I = 189.00.
I = 189.00/0.09
I = $2100.
More can be learned about proportions at https://brainly.com/question/24372153
Question 3 options: lily is building a picture frame. the larger rectangle represents the frame. the smaller rectangle represents the picture. the shaded area represents the 2-inch border around the picture. what is the area of the border, or the shaded region, of this figure in square inches?
The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Area of a larger rectangle
= Length × Width
= 18 × 12
= 216 in.²
Area of the smaller rectangle
Length = 12 - 2 - 2 = 8 in.
Width = 18 - 2 - 2 = 14 in.
= Length × Width
= 8 × 14
= 112 in.²
Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle
= 216 - 112
= 104 in.²
Hence, the area of the shaded region of this figure is 104 in.²
Learn more about the area;
https://brainly.com/question/2289492
Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.
Solve the following inequality
Answer:
14<x<20
Step-by-step explanation:
14<x<20 is your required answer
Q. Find the volume
10
8
12
3
2
answer choices
A. 128
B. 180
C. 124
D. 182
Answer:
A.128
Step-by-step explanation:
First you break the prism apart so that you have one 7x4x2 rectangular prism and one 12x3x2 prism. Find the volume of both, then add them together.
Volume of 12x3x2:
12 x 3 = 36. 36 x 2 = 72.
Volume of 7x4x2:
7 x 4 = 28. 28 x 2=56.
Then add both volumes: 72 + 56 = 128.
HELPPPPPPPPPPPPPPPPPPPP
Answer:
I think the modes are: 20 ,18 and 19
8th grade mathe help8th grademath heelp
Answer:So for number 35 you will put the qwestion in a calculator... now you have your answer so put that ansor to the side, and solve all of the ones in the answer choices and see which one has a common answer from the one in the problem
Step-by-step explanation:
Order -3,5, 16, and -10 from least to greatest.
Then order the same numbers from closest to
zero to farthest from zero. Describe how your
lists are similar.
Mr. Potter's class will take a test for 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction hours. They need to finish by half past 111111 to get to lunch on time. What is the latest time the class can start the test to get to lunch on time?
Answer:
is it half past one or another no?
Find the y-intercept and the slope of the line. y=-5/4x+3
Answer:
y intercept is (3,0) and slope is -5/4
Step-by-step explanation:
Look at the equation and know y=mx+b formula
The length of a rectangle is twice its width, The perimeter of the rectangle is 36ft. what are the length and width of the rectangle?
Answer:
length is 12 feet and the width is 6 feet
Step-by-step explanation:
w=width l=length
l=2w
2l+2w=36ft
4w+2w=36ft
6w=36ft
w=6ft
l=2*6=12ft
. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?
Step-by-step explanation:
the formula is distance/time
since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer
A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?
~Denki~
Answer:
the length of "AC" should be the same as it was before it was reflected over the y-axis.
(there is no picture so i cant get as specific as intended)
hope this helps :D
The change in the x-coordinates of any two points on a line in the xyplane is
the
O A. slope
B. rise
C. run
D. angle
SUBMIT
Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN
Step-by-step explanation:
There are 7 red counters in a bag.
The rest of the counters in the bag are blue,
There are more blue counters than red counters in the bag.
Two counters are to be taken at random from the bag.
The probability that there will be one counter of each colour is
7/15.
Work out the total number of counters in the bag before any counters are taken from the bag.
Let x be the number of counters in the bag.
Pr(red counter) is drawn first = 7/x
Pr(blue counter) is drawn first = (x-7)/x
Pr(counters will be same) = 8/15
solution:with replacement:
P^req= 7/7+x × x/7+x= 7/15
so, the total number of counters in the bag before any counters are taken from the bag are 7/15.
WORTH 80 sorry its zoomed out but is there cluster or outliers where and explain why
Answer:
15.42, 25.49, 46.19
Step-by-step explanation:
although 32.28, 40.40 could also be considered
A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 7 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale?
Answer:
14.424375 cubed feet (can round)
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.
Next, find the volume of the cylinder, and use this formula:
πrr (area of one circle) x the height
The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)
Now, we can plug all of the numbers in the previous formula:
π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet
For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.
So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)
What is the multiplier for a 12% increase
Answer:
d
Step-by-step explanation:
d because 12% is = to 0.12
so D
The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP
The area of the stacked prism is the amount of space on it
To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms
How to determine the number of prisms?
The dimension of the prism is given as:
2 inches by 3 inches by 4 inches
The surface area of the prism is calculated as:
A = 2 * (LW + WH + LH)
This gives
A = 2 * (2 * 3 + 3 * 4 + 2 * 4)
Evaluate the product
A = 52
When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.
So, the number of prisms (n) needed is:
100/ 52 < n < 130/52
Evaluate the quotient
1.9 < n < 2.5
Approximate
2 < n < 2.5
Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.
Read more about areas at:
https://brainly.com/question/24487155
i need answer please a 78 b 204 c 102 d 51
Work out the equation of the line which has a gradient of 2 and
passes through the point (2, 5)
Answer:
y=2x+1
Step-by-step explanation:
You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.
True or false.
If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.
don't guess
Answer:
true
Step-by-step explanation:
Using the function f(x) = 32 * (3/4)z, evaluate the following mentally.
f(3) =
Answer:
I also need help with this I'm new to this app so id
Find the binomials that created the generic rectangle below.
The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.
Answer:
What is the probability of a sample mean?
The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step
The following points lie on a certain line.
х, у
-2, -11
1. -5
4, 1
6, 5
What is the equation of the line?
Oy=-3x + 3
Oy - 2x - 3
Oy - 2X-7
o y = -4x + 2
[tex]y = 2x - 7[/tex]
should be it
I need help with this problem?
Answer:
Step-by-step explanation:
Volume of cylinder:
[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]
Bottom cylinder:
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
Upper cylinder:
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
