Answer:
x = -4
y = -21
Step-by-step explanation:
To solve this, we will need to set up a system of equations and get rid of a variable.
-3x - 2y = 54
-6x + 2y = -18
From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:
-3x - 2y = 54
-6x + 2y = -18
-------------------- +
-9x = 36
x = -4
Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.
-3(-4) -2y = 54
12 - 2y = 54
-2y = 42
y = -21.
If you put $6.24 into a savings account that earns 5%, how much interest will you receive at the end of four years
Answer:
$1.24
Step-by-step explanation:
5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)
(edit:forgot the explaination)
What's the answer?I need help!
Answer:
(-1,1)
Step-by-step explanation:
The solution to the system of equations is where the two lines cross
They cross at x=-1 y=1
(-1,1)
Answer:
The answer is (-1,1)
Step-by-step explanation:
First of all, you can see where the two lines intersect.
Also, if there was no graph, then you could solve by substitution:
1. Substitute y from y = 2x + 3 to -x
2. Then simplify
-x = 2x + 3
subtract 2x from each side
-3x = 3
divide -3 from each side
x = -1
3. To solve for the value of y, you can plug -1 for x and solve.
y = -(-1)
y = 1
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer: first one is A, Second is c
Step-by-step explanation:
15% of 20 is what number?
Answer:
Brainliest plzStep-by-step explanation:
20 x 15%
is equal too...
20 x 0.15
and that is equal to
...
3
click the image please...
Answer:
[tex]9^{-7}, 9^{-2}[/tex]
Step-by-step explanation:
[tex]\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}[/tex]
When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).
[tex](9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}[/tex]
What is the equation for the blue line?
Answer:
f(x) = -1/2x + 2
Step-by-step explanation:
f(x) = ax + b
x = 0 , y = 2
y = 0 , x = 4
[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]
[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]
f(x) = -1/2x + 2
f(n) = -11 + 22(n = 1)
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n - 1)+
Answer:
[tex]f(n)=f(n-1)+22[/tex].
Step-by-step explanation:
Note: In the given function it should be (n-1) instead of (n=1).
Consider the given function is
[tex]f(n)=-11+22(n-1)[/tex]
It is the explicit form of an A.P.
For [tex]n=1[/tex],
[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]
For [tex]n=2[/tex],
[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]
Common difference is
[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]
The recursive formula of an A.P. is
[tex]f(n)=f(n-1)+d[/tex]
Substitute [tex]d=22[/tex] in the above formula.
[tex]f(n)=f(n-1)+(22)[/tex]
[tex]f(n)=f(n-1)+22[/tex]
Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].
What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x = 3 and x = 4?
Answer: See bolded below
Step-by-step explanation:
Average rate of change is the slope. To find that, we would need the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.
1. The coordinate points are (1, 2) and (2, 4).
[tex]m=\frac{4-2}{2-1}=\frac{2}{1} =2[/tex]
The average rate of change is 2.
2. The coordinate points are (2, 4) and (3, 8).
[tex]m=\frac{8-4}{3-2} =\frac{4}{1} =4[/tex]
The average rate of change is 4.
3. The coordinates are (3, 8) and (4, 16).
[tex]m=\frac{16-8}{4-3} =\frac{8}{1} =8[/tex]
The average rate of change is 8.
I need help with the last one
Select values to multiply each equation by to form opposite terms for the x-variable. One-third x + one-sixth y = 2 One-half x + three-fourths y = negative 3
Answer:
First equation: 1/2
Second equation: -1/3
Step-by-step explanation:
We get the following equations:
[tex]\frac{1}{3}x+\frac{1}{6}y=2[/tex] first equation
[tex]\frac{1}{2}x+\frac{3}{4}y=-3[/tex] 2nd equation
Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:
The coefficient for x in the 1st equation is [tex]\frac{1}{3}[/tex] and the coefficient for x in the 2nd equation is [tex]\frac{1}{2}[/tex]
Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.
We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.
So, the first equation is equal to:
[tex](\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1[/tex]
The second equation is:
[tex](\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1[/tex]
Now, the coefficients for x, 1/6 and -1/6, are opposite terms.
Answer:3, -2
Step-by-step explanation:
The volume of each figure. Round answer to the nearest hundredth if necessary
Answer:
12
Step-by-step explanation:
If Jodi eats 2 chocolates she will consume 72 calories how many calories will she consume if she eats 5 chocolates
Answer:
x = 180
Step-by-step explanation:
We can use ratios to solve
2 chocolates 5 chocolates
--------------------- = ------------------
72 calories x calories
Using cross products
2 *x = 5*72
2x = 360
Divide each side by 2
2x/2 = 360/2
x = 180
Set up a ratio 2/72 = 5/x.
Now use cross-products.
(2)(x) = (5)(72).
2x = 360.
Now divide both sides by 2.
This gives us x = 180.
So, Jodi consumes 180 chocolates when she eats 5 chocolates.
Please help me with this question please help
Step-by-step explanation:
Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.
Find the mean of the data in the dot plot below.
fish
h
Fish Emma caught each day
of her fishing trip
+
0
1
1
2
3
4
5
6
Number of fish
Answer:
The answer would be, 2.75
Step-by-step explanation:
Add all the numbers up:
0+1+1+2+3+4+5+6=22
Divide the answer by the amount of numbers:
22÷8=2.75
Answer:
The mean of the following dot plot:
Mean: 3
Step-by-step explanation:
0 x 1 = 0
3 x 1 = 3
6 x 1 = 6
(we only add the numbers that only has a dot on the number in the dot plot)
So:
Mean: 0 + 3 + 6 = 9/3 = 3
1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon? 2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas? 3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
Answer:
1. $3.85 per gallon
2. $1.59
3. 7/12
Step-by-step explanation:
1. Jayden spent $46.20 on 12 gallons of gasoline. The price per gallon can be gotten by dividing the total price paid by the total number of gallons bought:
46.20 / 12 = $3.85 per gallon
The price per gallon is $3.85
2. Jayla buys 1.2 pounds of bananas and they cost $1.29 per pound. The total amount paid for the bananas is:
1.2 * 1.29 = $1.59
3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. The total fraction of the pizza ate is:
1/4 + 1/3 = 7/12
They ate 7/12 of the pizza
Find the sum of the interior angles of a polygon that has 9 sides?
Answer: (9 - 2) ⋅ 180 ° = 7 ⋅ 180 ° = 126 0 °
Step-by-step explanation:
car is moving at 75 kilometers per hour what is its speed in metres per minutes?
Answer:
75 km / h = 1250 m / m;
Solution ⇒ 1250 meters / minute
Step-by-step explanation:
Take a look at the explanation below;
[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]
Conclusion; 1250 meters / minute
please help with this slope question fast
Answer:
B. x-intercept = 2, y-intercept = 4
Step-by-step explanation:
→The y-intercept can be found on the vertical line, while the x-intercept can be found on the horizontal line.
→Looking at the graph, you can see that the line intersects at a point on the vertical line (y-intercept), and this number is 4.
→Looking at the graph, you can see that the line intersects at a point on the horizontal line (x-intercept), and this number is 2.
**DUE IN 20 MINS, PLZZZ HELP**
5 dices are thrown simultaneously. What is the probability of getting two sixes?
+Thank you!
what is the equation of the following line? HELP ASAP
Answer:
y=5x
.-.-.-.
jhvghcfghvbkhhx
Answer:
D
Step-by-step explanation:
You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
The slope is 5
given the graph function below which of the following ordered pairs are found on the inverse function
Answer:
Option A.
Step-by-step explanation:
Graph of function has been given in the figure.
Coordinates of the points lying on this graph will be
x -2 -1 0 1 2
y -10 -3 -2 -1 6
Therefore, coordinates of the points which will lie on the inverse of this function will be
x -10 -3 -2 -1 6
y -2 -1 0 1 2
Therefore, Option A. will be the answer.
An Actor invest some money at 6% and $41000 more than twice the amount at 9% the total annual interest earned from the investment is $32490 how much did he invest at each amount use the 6 step method
Answer: he invested $120000 at 6% and $281000 at 9%
Step-by-step explanation:
Let x represent the amount invested at 6%
Let y represent the amount invested at 9%
The Actor invest some money at 6% and $41000 more than twice the amount at 9%. This means that
y = 2x + 41000- - - - - - - - - 1
The interest gotten from x is
6/100 × x = 0.06x
The interest gotten from y is
9/100 × y = 0.09y
The total annual interest earned from the investment is $32490. It means that
0.06x + 0.09y = 32490- - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
0.06x + 0.09(2x + 41000) = 32490
0.06x + 0.18x + 3690 = 32490
0.06x + 0.18x = 32490 - 3690
0.24x = 28800
x = 28800/0.24
x = 120000
Substituting x = 120000 into equation 1, it becomes
y = 2(120000) + 41000
y = 281000
John wants to send a letter to Peter, who lives on Tesla
Street. John doesn't remember the house number.
However, he knows that it has 4 digits, it is a multiple of 5
and 7 and that the last digit is 0. What is the minimum number
of letters that John has to send to be sure that Peter receives his letter?
Answer:
The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters
Step-by-step explanation:
The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows
Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5
We have the four digit numbers from 1000 to 9999
Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940
Which gives 142 - 15 = 127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0
Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.
The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters
Applying the given information;
size of house number = Four digits which is a multiple of 5 and 7
House number ends with 0
given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10
The Four digit house number will fall between : 1000 to 9999
Determine the total numbers that are divisible by 7 and 10( 1000 / 70 ) = [tex](14 + 2/7) - 2/7)*70 + 70 = 1050[/tex]
( 9999 / 70 ) = [tex]( 142 + 59/70)- 59/70)*70= 9940[/tex]
∴ The minimum number of letters of a four digit number that is a multiple of 5 and 7 and whose last digit = 0 will be
142 - ( 14 + 1 ) = 127 letters
Learn more : https://brainly.com/question/9215444
What is the distance between (8, -3) and (4, -7)?
The answer is √32 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.
Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)
The two events are independent from one another.
Dina distributed 120 marbles to three of her friends. Raghu received one-fourth of the marbles. Freya received one - third of the REMAINING marbles. Bineet got half of the REMAINING marbles. Who got the MOST number of marbles?
Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
-(x+7)/6
Step-by-step explanation:
y = -6x-7
Exchange x and y
x= - 6y-7
Solve for y
Add 7 to each side
x+7 = -6y-7+7
x+7 = -6y
Divide by -6
(x+7) / -6 = -6y/-6
(x+7)/ -6 = y
The inverse is -(x+7)/6
Whats the number in the box?
Answer:
It is 3.
Step-by-step explanation:
By looking at the sentences, you can translate the sentences to equations.
The sum of two numbers is 90, so this involves addition because the sum is the answer of an addition problem. x+y=90.
x is the larger number
y is the smaller number
The larger number is 14 more than or addition sign 3 times or multiplying the smaller number (y).
The equation would be x=14+3y because it is 3 times the smaller number.
Hope this helps!
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?
Answer:
subtract 2x on both sides
Step-by-step explanation:
Answer:
x= -3
Step-by-step explanation:
Move The Terms:
8x -2x =3 = -15
Collect like terms and calculate:
6x = -15-3
Divide both sides of the equation by 6:
x = -3
Final answer:
x= -3
Hope this helped have a good day
12.6+b=15.7 what’s the length of the base?
Answer:
3.1
Step-by-step explanation:
15.7 - 12.6 = 3.1
Pls mark me brainliest !!
