Answer:
Step-by-step explanation:
To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.
[tex]\left[\begin{array}{ccc|c}1&-1&8&8\\3&-9&1&-1\\8&1&0&0\end{array}\right][/tex]
what is 3(x – 6) = -12x - 9
Answer:
x = 3/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)=−12x−9
(3)(x)+(3)(−6)=−12x+−9(Distribute)
3x+−18=−12x+−9
3x−18=−12x−9
Step 2: Add 12x to both sides.
3x−18+12x=−12x−9+12x
15x−18=−9
Step 3: Add 18 to both sides.
15x−18+18=−9+18
15x=9
Step 4: Divide both sides by 15
15x/15 = 9/15
so x = 3/5
plz mark brainly
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.
Answer:
6 to 2 2 to 6
Step-by-step explanation:
The ratios for the given situation are 3/7 and 4/7.
Given that, at a dinner party, two desserts are being served.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Six of the guests choose cheesecake, and eight of the guests choose apple pie.
So, the total number of guests = 6+8
= 14
Now, the ratio who chose cheesecake = 6/14
= 3/7
The ratio who chose apple pie = 8/14
= 4/7
Therefore, the ratios for the given situation are 3/7 and 4/7.
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Please help meeeeeeee
Answer:its not loaxibf
Step-by-step explanation:
what is 9- 3/1/3 + 1 ?
Answer:
1
Step-by-step explanation:
There are 1/3•9=3, so 3÷1/3=9.9-9=00+1=1The value of the expression 9 - 3/1/3 + 1 will be 1.
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9 - 3/1/3 + 1
Now,
Solve the expression as;
The expression is,
⇒ 9 - 3/1/3 + 1
⇒ 9 - 3 × 3 + 1
⇒ 9 - 9 + 1
⇒ 1
Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.
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Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end with 3 vowels
Answer:
5259544316
Step-by-step explanation:
Given that:
Length of string = 7
Either begins with 2 consonants or ends with 2 vowels :
Either or :
A U B = A + B - (AnB)
Number of vowels in alphabet = 5
Number of consonants = 21
2 consonants at beginning :
First 2 consonants, then the rest could be any:
21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816
3 vowels at the end :
First 4 letters could be any alphabet ; last 3 should be vowels.:
26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000
2 consonants at beginning and 3 vowels at the end :
21 * 21 * 26 *26 *5* 5 * 5 = 37264500
Hence,
2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end
(5239686816 + 57122000) - 37264500
= 5259544316
Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316
Harry recently had a birthday. He was given $150 dollars from his parents and $75 from his grandparents. Harry wants to purchase movie tickets and video games with is money. Movie tickets cost $11 each and video games cost $45 each. Write an inequality that represents this situation. Let x represent the number of movie tickets and let y represent the number of video games.
Answer:
11x + 45y ≤ 225
Step-by-step explanation:
So he has 150 + 75 = 225. you then would do
11x + 45y ≤ 225
Answer:
225 ≥ 11x + 45y
Step-by-step explanation:
150 + 75 = 225, so $225 is what Harry has to work with.
Harry can't spend more than $225, hence the "more than or equal to" sign.
"x" represents the number of movie tickets, which cost $11 each. "y" represents the number of video games, which are $45 each.
You must combine these terms to equal a number less than or equal to 225.
Amelie works on her homework for 14 hour before her soccer practice and 23 hour after her soccer practice.
How much time did Amelie spend on her homework altogether?
16 hour
37 hour
34 hour
1112 hour
Jessica walks 13 mile to the post office and then 25 mile to the library.
How far did Jessica walk altogether?
215 mile
38 mile
1115 mile
34 mile
Answer:
37 hours
38 miles
Step-by-step explanation:
14+23=37
25+13=38
Answer:
37 hours and 38 miles
Step-by-step explanation:
14+23=37
13+25=38
write -90 in simplest radical form
please help or i’ll failll
3x -5y + 2z = -53
x - 7y - 4z = -37
5x+9y+2x = 57
Answer:
answer is 57
Step-by-step explanation:
3x-5y sshsbwisiehdducux sh
Write the phrase as an expression. Then evaluate when x = 3 and y = 15
Twice the sum of a number x and 8
Please I need this answer ASAP
Answer:
Put x then y u get x+y=15*2
Mrs.Thomas looks at the advertisements from the Sunday paper.
Store 1: 30% off
store 2 : Save 2/5
store3: One-third off
Store 4: 40% off
which stores have the equivalent savings
Answer:
store 2 and 4
Step-by-step explanation:
2/5= 40%
Answer:
Store 2 and 4
Step-by-step explanation:
When looking at store 2 and store 4, we're given a fraction and a decimal.
Looking at the fraction [tex]\frac{2}{5}[/tex]- to convert this to a percent, you just multiply it by 100.
2 divided by 5 is 0.4. 0.4 times 100 is 40%.
40% = 40%, so store 2 and store 4 are the same.
Simplify
−
4
x
+
2
y
+
z
−
3
x
+
2
y
−
2
z
Answer: -7x+4y-z would be the answer
Step-by-step explanation:
Which fraction is less 11 out of 12 or 5 out of 12
Answer: 5 out of 12
Step-by-step explanation: GOODLUCK!
please someone help me out on this
Answer:
Step-by-step explanation:
28
Answer:
27⁰
Step-by-step explanation:
angles on a straight line add up to 180⁰
180-(39+86+28)=YVZ
Find the missing angle. solve for ?
PLZ HELP =<
Answer:
70 degrees
Step-by-step explanation:
180-120=60
180-(60+50)=70
A water tank leaked 14 gallons of water over eight hours at a constant rate what was the change in the amount of water in gallons in a tank each hour
Answer: the answer would be 1.75 gallons/hour
Step-by-step explanation: if you take the 14 gallons divided by the eight hours, you get 1.75
Answer:
7/4 gallons per hour
Step-by-step explanation:
We have to divide the amount of water lost by the lapse of time. So we get
14/8= 7/4
Explain how to find the slope of the line in words And explain answer hurrry
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Step-by-step explanation:
If it takes 4 years for an animal population to double, how many years will it take until the population triples?
Answer:
6 years
Step-by-step explanation:
i used a proportional approach
2 (the double)/ 4 years (the time it takes to double)
then compared it to
3(the triple)/ x amount of years
(like this)
[tex]\frac{2}{4} \ \frac{3}{x}[/tex]
then cross multipled
4 times 3= 12
then divided the 12 by the remaining 2 above the 4
عدد الطالبات
فئات الدرجات
۳
و
من خلال الجدول الذي أمامك:
احسبي الوسط الحسابي بالطريقة
المباشرة.
، كوني الجدول التكراري الهابط
الوسيط من خلال الجدول
التكراري الهابط الذي كونتية في الخطوة
السابقة.
۱۷
احسبي
10
و
المجموع
21
Answer:
الطاولة؟
Step-by-step explanation:
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
How high would the rent have to be to qualify as an outlier
Answer:
1500+
Step-by-step explanation:
Let R be the region bounded by a triangle whose vertices are (0,0), (0,2) and (2,2). Find the volume generated when R is revolved about the X-axis.
a. Using the Washer Method
b. Using the Shell Method
Answer:
a
Step-by-step explanation:
i think
Find n from following equation
Answer:
n = [tex]\frac{ln(0.69)}{ln(1.04)-ln(0.025}[/tex] OR n =0.09953...
Explanation:
I don’t know if my answers are an option for you, but the following pictures show the explanation of it.
Hope this helps and answers you question :)
Brittany is selling car magnets she purchases them for 7.50 each and marks up the price by 30% how much planning to charge
Answer:
0.25
Step-by-step explanation:
i hope this helps! :]
A car travels 20 miles in half an hour at constant speed is
8)
Solve: 5x - 7x + 6 = -2(x - 3).
0)
A)
0
B)
2
infinitely many solutions
Answer:
the answer is 0 because both equations on either side cancel out thereby leaving in bare
Does the three in 3.0 mean
Answer:
the 3 is in the tenths place, so it represents 3.
Step-by-step explanation:
<3
Factor the expression 4x + 32. Explain each step you
take in the process.
I
Answer:
4(x+8)
Step-by-step explanation:
find the GCF (which is 4 in this case)
divide by 4 but don't forget to keep it.
4x/4=x
32/4=8
4(x+8)
And thats it!
You can buy 5 bananas for $4.25. What is the unit price per banana?
Answer: 85 cents
Step-by-step explanation:
Answer:
$0.85 per banana
Step-by-step explanation:
if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25
You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?
Answer:
400 ft²
Step-by-step explanation:
The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²