Answer:
The numbers are 6 and 3
Step-by-step explanation:
Let the numbers be x and y
So their sum is x + y =9 (EQ. 1)
Their difference is x - y = -3 (EQ. 2)
Solve simultaneously using subtract method.
x-x=0, x is eliminated. y- -y = +2y since -x- is +.
so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.
Substitute Y=6 in EQ 1 to find x.
So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.
:. Y=6 and x=3. The numbers are 6 and 3
I think I was able to expantiate it well.
The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?
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Answer:
B(5, 4)
Step-by-step explanation:
The midpoint formula is ...
M = (A +B)/2
Solving for B gives ...
B = 2M -A
B = 2(1, -2) -(-3, -8) = (2+3, -4+8) = (5, 4)
The coordinates of B are (5, 4).
Determine whether the point (7,4) is on the circle, or inside or outside the circle x^2+y^2=62
Answer:
Outside.
Step-by-step explanation:
7^2 + 4^2 = 62
65 does not equal 62 so outside of the circle.
For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
O 0760) = (+)+2
O 011(x) = (+) --
Answer:
[tex]g'(x) = \frac{x^2}{100} +2[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 10\sqrt{x - 2[/tex]
Required
Determine the inverse function
[tex]g(x) = 10\sqrt{x - 2[/tex]
Replace g(x) with y
[tex]y = 10\sqrt{x -2[/tex]
Swap the positions of x and y
[tex]x = 10\sqrt{y -2[/tex]
Divide through by 10
[tex]\frac{x}{10} = \sqrt{y - 2[/tex]
Square of both sides
[tex]\frac{x^2}{100} = y - 2[/tex]
Make y the subject
[tex]y = \frac{x^2}{100} +2[/tex]
Replace y with g'(x)
[tex]g'(x) = \frac{x^2}{100} +2[/tex]
Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]
Solve the quadratic equation 2x2 = 5x + 9. <33 please besties
Answer:x=-1
Step-by-step explanation:
Quick!! Find the area of the composite figure
Answer:
560 sq ft
Step-by-step explanation:
Let's start with the rectangle
20 x 24 =
2(24) * 10 =
48 * 10 = 480
Now the triangle
8 x 1/2(20 = 8x10 = 80
480 + 80 = 560 sq ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP
A town has a population of 40,000 persons.
There are 6000 school-age children in the
town. What is the ratio of the school children
to the total population?
And please add the formula or how you did it
Answer:
3:20
Step-by-step explanation:
6000:40,000
find HCF (2000)
divide both sides by 2000
3:20
Need the answer fast
Answer:
97
Step-by-step explanation:
hope this helps :)
Which of the following is an equation?
Answer:
B) y/9 = 3
Step-by-step explanation:
What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.
Only choice B does that
An item originally costs $49.95 and is on sale for 33% off the original price. The sales tax is 5.75%. Find the cost of the item.
Answer:
$35.39
Step-by-step explanation:
A baby fish was 1.5 centimeters in length when it first hatched . The fish grew at a rate of 0.25 centimeter per week.
Which graph best shows this relationship between the length of the fish in centimeters , y, and the time in weeks, x?
If you think about I would suggest B only because it makes more sense but I might be wrong..
Hope this helped a little!
The solution is Option A.
The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The initial length of the baby fish is b = 1.5 cm
The baby fish grew at a rate of 0.25 centimeter per week
So , the slope of the line m = 0.25 cm
And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 0.25x + 1.5 be equation (1)
Hence , the equation of line is y = 0.25x + 1.5
To learn more about equation of line click :
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What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
Answer:
3375cm
Step-by-step explanation:
because it is asking for volume it is cubed
wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense
answer this please thanks
Answer:
4. c
6. e, a
Step-by-step explanation:
Hopefully, it correct
claire is writing a report about kangaroos. the report must be two full pages. if she can fit 20 lines on each page with about 20 words per line, approximately how many words in all will claires report be?
Answer:
800
Step-by-step explanation:
20 lines per page with 20 words per line means 400 words per page
2 pages means 400 x 2 which is 800 words
A triangular prism has faces.
Answer:
5
Step-by-step explanation:
Answer:
The answer above is correct, a triangular prism has 5 faces.
Step-by-step explanation:
Count the faces that it has.
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
1) D) y = 2x+3
2) B) y = -3/2(x)-5
Step-by-step explanation:
-7x-13 >(or equal) 8
Answer:
x ≤-3
Step-by-step explanation:
A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:
6 5
Step-by-step explanation:
4 5 6 7
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?
Use the value 3.14 for π and round your answer to the nearest whole number.
Answer:
120.105 square feet.
Step-by-step explanation:
Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume, given that the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of it:
(3.14 x (1.5^2)) x 17 = X
(3.14 x 2.25) x 17 = X
7.065 x 17 = X
120.105 = X
Thus, the volume of the cylinder is 120.105 square feet.
377?.378f5885246799448855
Answer:
Wwhatwhatwhatwhatwhat
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
You must have smacked your keyboard
377?.378f5885246799448855
If you invested $2000 in an account that paid 8% annual interest compounded quarterly, how much would the account be worth in 10 years?
Answer:
4,317.85
Step-by-step explanation:
Answer:
$1600
Step-by-step explanation:
8 = 0.08% Turn the percent to a decimal
2000 / 0.08 = 160 Divide it by 2000
160 * 10 = 1600 Mutiply by 10
Have a good day
You are surveying students to find out their opinion of the quality of food served in the school cafeteria. Which of the following samples would be random?
Answer:
aint random
Step-by-step explanation:
The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.
What is a Random Sample?A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.
Random sampling is used in science to conduct blinded studies or randomized control testing.
This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.
Learn more about random sample here:
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Please help! What is the volume? Answer and explanation please! <3 (No links please..)
V = ____ pi inches cubed
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Answer:
562.5π in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
where r is the radius, half the diameter.
V = (4/3)π(7.5 in)³ = 562.5π in³
A rectangular playing field at a scale of 1:1000, 100m
Answer:
0.1
Step-by-step explanation:
1cm:1000cm
100m=10000cm
so if 1cm=1000cm what about 10000cm
=0.1
Solve using the substitution method:
6x + y =15
4x + 3y = 31
Answer:
the answers to this are x= 1 and y= 9
9. The sum of 10 and 7 times a number is 59. What is the
number? (Use n as the variable.)
Answer:
7Step-by-step explanation:
Let,
The number be = n
According to the question,
First 7 times of n = 7n
Sum of 10 and the number = 7n + 10
Said that,
The sum of 10 and 7 times of the number is 59.
Therefore,
By the problem ,
=> 7n + 10 = 59
=> 7n = 59 - 10
=> 7n = 49
[tex] = > n = \frac{49}{7} [/tex]
=> n = 7
Hence,
The required number is 7 (Ans)
What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Answer:
5009.206
Step-by-step explanation:
The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!
#3 please Question Is in the photo above please help me extra points will be given
Answer:
the answer to the problem is d
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control
Answer:
Sample number 3
Step-by-step explanation:
From the given information:
Sample Service life(hours) Total Mean(X)
1 2 3 4
1 495 500 505 500 2000 500
2 525 515 505 515 2060 515
3 470 480 460 470 1880 470
Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]
Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]
Thus;
[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]
To plot on an X_Bar chart, we have:
Sample Mean (X) UCL LCL
1 500 520 480
5 515 520 480
6 470 520 480
The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.
What is the complementary angle
of 65 degrees
The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.
Answer:
25°
Step-by-step explanation:
Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.
(90) - (65) = (25)
whats the absolute value of 23
Answer:
-23
Step-by-step explanation: