Bring all the X to the left side and all the numbers to the right side. ( remember to flip the signs )
3x - 4 - 5x = 6 + 4x + 2
3x - 5x - 4x = 6 + 2 + 4
-6x = 12
6x = -12
x = -2
!SUBSTITUTION METHOD!
6y - 5z = -8
3z = -6
4x - 3y - 2z= 21
Answer:
x = 2 y = - 3z = - 2Step-by-step explanation:
6y - 5z = -8 .......... Equation 1
3z = -6 ................... Equation 2
4x - 3y - 2z= 21...... Equation 3
First solve for z in Equation 2
That's
3z = - 6
Divide both sides by 3
z = - 2Next substitute the value of z into Equation 1 in order to find y
We have
6y - 5(-2) = - 8
6y + 10 = - 8
6y = - 8 - 10
6y = - 18
Divide both sides by 6
y = - 3Finally substitute the values of y and z into Equation 3 to find the value of x
That's
4x - 3(-3) - 2(-2) = 21
4x + 9 + 4 = 21
4x + 13 = 21
4x = 21 - 13
4x = 8
Divide both sides by 4
x = 2So the solutions are
x = 2 y = - 3z = - 2Hope this helps you
How many solutions does the system have?
2x+3y=6
-3x+5y=-15
Answer:
one solution
Step-by-step explanation:
2x+3y=6 multiply this equation with 3
-3x+5y=-15 multiply this equation with 2
so
6x+9y=18
-6x+10y=-15
----------------------
add these equation
so 6x-6x+9y+10y=18-15
19y=3
y=3/19
so 2x+3*3/19=6 multiply this equation with 19
2x*19+9=6*19
38x+9=114
-9 -9
38x=105
x=105/38
Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month. After these expenses, she has $ left from her earnings.
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Therefore. Money left from her earning after expenses is $ 7160.86
A single-payment loan of $5,955. Interest rate of 8.75 percent. Days of ordinary
interest: 42. Round to the nearest hundredth. What is the interest owed? What is the maturity value?
Answer:
interest owned = PTR/100
= 5955*(42/365)*8.75/100 =59.96
maturity value = 5955+59.96=6054.96
Step-by-step explanation:
I will give brainliest Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 7,550 pounds of fish?
(7,550 - 5,000) / 850 = 3 standard deviations.
The percentage could vary depending on the bell curve diagram your professor uses. I was taught that anything more than 3 standard deviations is 0.15%. So, only about 0.15% of blue whales eat more than 7,550lbs of fish.
Answer:
the answer is 0.15 percent, give the person above me brainlyest for helping!
Step-by-step explanation:
If FG = 10, GH = 7x, and FH = 9x, what is FH?
F 10
G
H
9x
Answer: FH is 9x, given in the question
It's 45 if you solve for x and plug in x=5
Step-by-step explanation:
FG+GH =FH
10+7x= 9x
10=2x
x=5
FG+GH=FH
10 +7(5) = 9(5)
10 + 35 =45
A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to change by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?
Answer:
18.1 m
Step-by-step explanation:
For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.
0m + 25m - 2.2m(7) + 8.5m = ?
25m - 15.4m + 8.5m = ?
9.6m + 8.5m = ?
18.1m = ?
Hence, the final altitude of the ballon is 18.1m.
Cheers.
Solve the absolute value equation below 3|6-4x|-4=
Answer:
Impossible, not enough to answer the question
Step-by-step explanation:
As you can see because there is no number or variable past the equal sign it is simply an expression, please correct me if I am wrong but even if the other side was 0, I doubt a teacher would give this problem with decimals, but it may just be me.
How are natural and whole numbers different ?
Answer:
Whole numbers include 0 while natural numbers do not.
Step-by-step explanation:
Natural numbers are 1, 2, 3, 4, etc.
Whole numbers are 0, 1, 2, 3, 4, etc.
You randomly draw twice from this deck of
cards
HCF F||0||D
What is the probability of drawing a D, then
drawing an F, without replacing the first
card?
answer=my buttttttttttttttttttttttttttttttttttttttttttttttttt
The scatter plot shows association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle
Answer:
C
Step-by-step explanation:
The answer is C
Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in a tank that is half-full? One tank can hold an average of gallons of water. A half-full tank will hold gallons of water.
Answer:
one tank can hold 108.1 gallons. half full is 54.05
Step-by-step explanation:
Answer:
54.05 gallons
Step-by-step explanation:
432.4÷4= 108.1108.1÷2= 54.05here is the question the whole question is in the image
Answer:
The change for the input would be 1, and the change for the output would be 0.35. The rate of change should be 0.35 also.
Step-by-step explanation:
How do I solve this problem
Answer:
2.9309
Step-by-step explanation:
2.9309 is the answer
What are the next two terms in this sentence? 5, 10, 20, 40
Answer:
80, 160
Step-by-step explanation:
It's just multiplying the last term by 2.
Answer:
80 and 160
Step-by-step explanation:
5 × 2 = 10
10 × 2 = 20
20 × 2 = 40
40 × 2 = 80
80 × 2 = 160
Hope it helps!
So uh max points is 100 well whats 2-1 equal im really confused
Answer:I'm confused to
Step-by-step explanation:
Answer:
Can you explain more 2-1 as in a ratio
Step-by-step explanation:
what is the answer to -5( 8g + -4 )
Answer:
-40g+20
Step-by-step explanation:
-5(8g-4)
-40g+20
It takes Ron 3 hours to paint one side of a house. It takes Natalie 6 hours to paint the same area. What is Natalie's rate
of doing a side of a house in an hour
Answer:
the answer is 6x3 which is 18
Step-by-step explanation:multiply to find out the answer
Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)
Answer:
[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]
Thirteen plus a number N is greater than fifteen
Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.
Answer:
-the set of people with Social Security cards and the set of Social Security numbers
Explanation:
There's literally no relation between the height of a tree and the number of trees in a forest that can be clearly seen. Same goes to models and people in a certain town. Birthdays and Students in Class definitely have no correlation as isolated pieces of information. The number of people with social security numbers and the amount of numbers in a SS Card, though, have a direct relation, since the number has to be large so the amount of people that need such a number can have unique numeric representations of their Social Security.
5 numbers that create the mean of 9
Answer:
9,9,9,9,9
Step-by-step explanation:
Let the five unknown numbers be x
= [tex]\frac{x+x+x+x+x}{5} = 9[/tex]
Simplify
[tex]\frac{5x}{5} = \frac{9}{1}[/tex]
Cross-cancel common factor ; 5
[tex]5x\div 5 = x\\\\x = \frac{9}{1} \\\\x = 9[/tex]
Determine whether the study is an observational study of an experiment. Explain.
In a survey of 1117 adults in a country, 54% said the country's leader should release all medical information that might affect their ability to serve The study is_____because it____a treatment to the adults.
Answer: Observational ; does not
Step-by-step explanation: The main distinguishing factor between an experimental study and an observational study lies in the administration of treatment to the participant of the study. In experimental study, some or all the participant in the study are subjected or exposed to a certain treatment and their response to such treatment. ON THE OTHER HAND, Observational study is usually employed when there is a need to gather information on a particular subject matter without directly influencing the participants. In the scenario above, participants were not given any TREATMENT as they were only required to gather information and not to measure the effect of a treatment.
A town doubles its size every 44 years. If the population is currently 8,000, what will the population be in 88 years?
Answer:
32,000
Step-by-step explanation:
In 44 years, it will double to 16,000. In 44 more years (88 years from now), it will double again to 32,000.
The population in 88 years will be 32,000.
Linear equation
4X-12+3x+9
Steps to solve:
4x - 12 + 3x + 9
~Combine like terms
(4x + 3x) + (-12 + 9)
~Simplify
7x - 3
Best of Luck!
Answer:
X = 3/7
Step-by-step explanation:
4X - 12 + 3X + 9 = 0 (separate them)
4X + 3X = 12 - 9 (add)
7X = 3 (divide 7 on both sides)
X = 3/7
Graph f(x) = 2x2 + 12x + 12
Answer:
Step-by-step explanation:
Keena's shirt is $13. She gets a 20% off. What is the price?
Answer:
$10.40
Step-by-step explanation:
Just like any other percent problem, subtract 20%.
$13 - 30% = $10.40
Your answer is $10.40. Hope this helps!
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i. What is the student's mistake? Select the two correct answers. A. They multiplied the second number by the real part of the first number. B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts. D. The student has added the real parts and multiplied the imaginary parts. E. The student has multiplied the second number by the imaginary part of the first number.
Answer:
B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts.Step-by-step explanation:
Before we figure out the student mistake, let us find the product of the complex numbers ourselves first.
(4+5i) (3-2i)
open the parenthesis
= 4(3)-4(2i)+3(5i)+5i(-2i)
= 12-8i+15i-10i²
Note that in complex number, i² = -1, hence the expression will become;
= 12-8i+15i-10(-1)
= 12-8i+15i+10
collect like terms by separating the real from imaginary part
= 12+10-8i+15i
= 22+7i
From the students answer i.e 12-10i, it can be concluded that;
In the multiplication of the imaginary parts, the student forgot to square the i and the student has only multiplied the real parts and the imaginary parts 4 and 3 to get 12
Please help marking as brainliest ndbi brought 16 packages of blueberries for 48. how many packages can jacob buy if he has $12.
Answer:
4 packages
Step-by-step explanation:
ndbi bought 16 packages of blueberries for $48, which means he bought 1 package for $3 because 48 / 16 = 3.
jacob has $12, so he can buy 4 packages of blueberries because 12 / 3 = 4.
Which equation describes this line?
(1, 13)
(-2, 4)
Answer:
y =3x+10Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(1,\:13\right)\mathrm{,\:}\left(-2,\:4\right)\\\\(1,13)=(x_1,y_1)\\(-2,4) = (x_2,y_2)\\\\\frac{y-13}{x -1} = \frac{4-13}{-2-1}\\ \\\frac{y-13}{x-1} = \frac{-9}{-3}\\\\ -3(y-13)=-9(x-1)\\\\-3y +39 =-9x +9\\\\-3y =-9x+9-39\\\\-3y =-9x -30\\\\\frac{-3y}{-3} = \frac{-9x}{-3} - \frac{30}{-3} \\\\y = 3x+10[/tex]
Answer:
y - 4 = 3 ( x + 2 )
Step-by-step explanation:
so ,
( 1 , 13 ) and ( - 2 , 4 )
x1 y1 x2 y2
formulae of slope m is y2-y1
over
x2-x1
4-13
/
-2-1
-9/-3
therefore m=3
now to get the equation of line is
y-y1=m(x-x1)
y - 13 = 3 ( x - 1 )
y - 13 = 3 x - 3
y = 3 x - 3 + 13
y = 3 x + 10
y - 4 = 3 x + 6
y - 4 = 3 ( x + 2