Answer:
x=3, y=7. (3, 7).
Step-by-step explanation:
6x-8y=-38
5x+12y=99
------------------
5(6x-8y)=5(-38)
-6(5x+12y)=-6(99)
------------------------
30x-40y=-190
-30x-72y=-594
----------------------
-112y=-784
112y=784
y=784/112
y=7
5x+12(7)=99
5x+84=99
5x=99-84
5x=15
x=15/5=3
find the mean of the set of the numbers given 25,20,23,22
Answer:
The Mean of the set of the numbers x⁻ = 22.5
Step-by-step explanation:
Given a set of the numbers
25,20,23,22
Mean of the given data
∑x/n
Mean of the given data
[tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]
The Mean of the set of the numbers x⁻ = 22.5
Find the surface area of the following figure.
Answer:
[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]
Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .
[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]
[tex]\rule{200}2[/tex]
Hence the TSA of cuboid in terms of lenght and breadth is :-
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]
I need this please help me
Answer:
Yesthe data table and the statment mean the same thing:)
Step-by-step explanation:
Solve for v 29 = -8v - 7 + 5v Simplify your answer as much as possible
Answer:
v = -12
Step-by-step explanation:
29 = -8v - 7 + 5v
Combine the 'like terms':
29 = (-8v + 5v) - 7
29 = -3v -7
Add 7 to both sides:
29 + 7 = -3v -7 +7
36 = -3v + 0
36 = -3v
Divide both sides by the coefficient in front of the variable 'v' because we want to get 'v' all by itself. So, divide by -3.
36/-3 = -3v/-3
-12 = v
And that is the answer, v is negative twelve
Answer:
v=
Step-by-step explanation:
29= -8v- 7 + 5v
-8v + 5v - 7 = 29
-3v - 7 = 29
-3v - 7 + 7 = 29 + 7
-3v = 36
-3v ÷ -3 = 36 ÷ -3
v = -12
PLZ help me on coordinate work
Answer:
M: (-12,-19) N:(20,5)
Step-by-step explanation:
M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.
20-(-3)= 23
Use the distance to find the coordinates.
-4+23= 19
N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.
-12-(-3)=-9
Use the distance to find the coordinates.
-4+9= 5
Answer:
N=(20,5)
M=(-12,19)
Step-by-step explanation:
Rectangular Coordinates
The diagram shows two identical and rotated triangles (assumed as right triangles).
We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.
The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.
The coordinates of M are (-12,y), where y = -4+23 = 19.
M=(-12,19)
The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.
The coordinates of N are (20,-4+9) = (20,5)
N=(20,5)
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 3% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
________________________________
A = P × i × n= $50,000 × 3% × 4 Years= $6,000$50,000 Will Be Invested In B-Rated Bonds________________________________
A rectangular courtyard has an area of 104 square yards. The length of the playground is 3 yards shorter than twice the width. Find the
length of the playground,
O 10 yards
O 15 yards
O 8 yards
O 13 yards
The length of the playground is 13 yards.
What is the area if the rectangle?A = l × w
where 'l' represents the length of the rectangle
'w' represents the width of the rectangle
For given example,
area of rectangular courtyard = 104 square yard
Let the length of the playground be l cm and the width be w cm.
Then, l = 2w - 3
The area of a rectangle is,
[tex]A=l\times w\\\\104=(2w-3)\times w\\\\104=2w^2-3w\\\\2w^2-3w-104=0\\\\w=\frac{-b\pm \sqrt{b^2 -4ac} }{2a} \\\\w=\frac{3\pm\sqrt{9-4(2)(-104)} }{4} \\\\w=\frac{3\pm\sqrt{841} }{4} \\\\w=\frac{3\pm29}{4}\\\\w=\frac{3+29}{4} \text{ or } w=\frac{3-29}{4}\\\\w=\frac{32}{4}\\\\w=8\\\\[/tex]
So, the width of the playground is 8 cm.
Now, we find the length of the rectangular playground.
[tex]l=2w-3\\\\l=2(8)-3\\\\l=16-3\\\\l=13~yards[/tex]
Therefore, the length of the playground is 13 yards.
Learn more about the area of the rectangle here:
https://brainly.com/question/20693059
#SPJ2
• Explain why 3 + x and x + 3 are equivalent.
Answer: Becuase of the communitive property
Step-by-step explanation:
For example say you have 5 + 6
5 + 6 = 11
6 + 5 =11
no matter how you flip it, it's always the same
A television cost $300.What is the total cost if the sales tax is 6.5%?
Answer:
319.5
Step-by-step explanation:
6.5% x 300 = 0.065 x 300 = 19.5
300+ 19.5 = 319.5
Answer:
319.50
Step-by-step explanation:
A typist can type 1800 words in 1 hour.Find the number of words that he can type per minute
Answer:
1800 words = 1 hour
1800 words = 60 minutes
Divide by 60: 30 words per minute.
Let me know if this helps!
Answer:
The other person is correct
Give them brainliest :)
Step-by-step explanation:
Posted on: 2-24-2021 at 8:55am
Positive quote of the day: “Every day may not be good... but there's something good in every day.”
helphelphelphelphelphelphelphelphelphelphelphelphelp
Step-by-step explanation:
just subtract everything
bracelet: $84, 18% off what is the new price?
Answer:
$15.12
Step-by-step explanation:
You need to just search u p 18% of 84 or 84% of 18
A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.15 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.15 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Answer:
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
This is the pvalue of Z = 2.15.
Z = 2.15 has a pvalue of 0.9842
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Hi there!
x=8
1.Subtract the answer with the 3 / subtract the terms:
[tex]2995-3=2992[/tex]
2.Divide the two terms:
[tex]2992*374=x[/tex]
Therefore, x=8
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answer:
No se perdon nesesito puntos
9. There are a total of 400 balls in a box. Sixteen percent (16%) of these are red, 21% are
blue, 8% are yellow and the rest are white. How many white balls are there in the box?
a. 45
b. 55
C. 140
d. 220
Step-by-step explanation:
your answer is D 220 white balls.
The usual price of a sweatshirt is $18, what is its sale price?
Answer:
I feel like there is more to that question can you put the whole question
What is the slope of the linear function given the following table?
х у
-3. 7
-2. 5
-1. 3
0. 1
2. -3
Help please !
Answer:
3rd one
Step-by-step explanation:
Find the product. Draw a quick
3 x 0.54 =
Answer:
That is 1.62.
Step-by-step explanation:
Hope this helps.
Answer:
1.62 is your answer
A triangle has side lengths
that measure (3x + 4), (7x
+ 5) and (2x - 1). If the
perimeter of the triangle is
greater than or equal to 74,
what are the possible
values of x?
Answer:
x is greater or equal to 5.5
Step-by-step explanation:
some body help me for find the answer thank you
Answer:
Step-by-step explanation:
As similar triangle hence their correspondiing sides will be proportional,
let the side we want to know is x,
18/x = 11.2/40
x = 18*40/11.2
x= 64.3
10 x to the 5th power
Answer:
I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be
100,000 if it is 10 to the 5th power
If it is 10x to the 5th power then it's 100,000x
Step-by-step explanation:
I hope that helps :) explanation and answer is up!
Answer:
100000x
Step-by-step explanation:
When you do anything to a positve power, the decimal point goes to the right, if its negative to the left
Select the functions that are equivalent to P(t) = 76529( 1.21), where t is time in
years.
P(t) = 76529(1.049)4t
P(t) = 76529(1.032) 6t
P(t) = 76529(1.00834) 2t
P(t) = 76529(102.1)
21
P(t) = 76529 1.212
P(t) = 76529(1.016)121
P(t)=75529(1.21 1/2)2t
P(t)=76529(1.016)12t
Answer:
Step-by-step explanation: have a good one
2. Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up equations and showing the steps to solving a simple equation. (c) Use the information above to set up another equation or expression and solve to show old Bentley is.
thank you!
Answer:
the awnser is that Bently is 6 And Ashton is 4
Step-by-step explanation:
the reason I get this awnser is because it says that bently is 2 years older than Ashton and 3 times so you think what can be times 3 so the first awnser i got was 6 because 6 times 3 equals 18 so then I subtracted 2 from that to create the number of 6 for Bentley and 4 for Ashton
BRAINLIEST PLEASEThe following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.
Answer:
11 ;
Step-by-step explanation:
Given the data:
30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31
Number of classes = 5
Class width : Range / number of classes
Class width = (maximum - minimum) / 5
Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11
For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram
Kindly check attached picture
f(x) = (x + 3)*(x + 1)
Pls help quick number 2 and 3 pls!
Answer:
y=c (468) =e _24 the answer
Answer help need answer now plz help
Answer:
I think the answer is A
maybe it's right
Solve:
Write your answer in the following format:
(x,y)
with no spaces.
Answer:
it 10 because if x =9 then y=10
The two-way table shows the ages of the players on different soccer teams.
Answer:
3rd one down is the answer