Answer:
(- 1, 3 )
Step-by-step explanation:
y = - x + 2 → (1)
3x - y = - 6 → (2)
Substitute y = - x + 2 into (2)
3x - (- x + 2) = - 6 ← distribute parenthesis and simplify left side
3x + x - 2 = - 6
4x - 2 = - 6 ( add 2 to both sides )
4x = - 4 ( divide both sides by 4 )
x = - 1
Substitute x = - 1 into (1)
y = - (- 1) + 2 = 1 + 2 = 3
solution is (- 1, 3 )
Marcos has a bank account balance of -$42.30 at the start of the month. After he deposits $16.50, what is his new balance?
Answer:
$25.80
Step-by-step explanation:
you have to add 16.50 to -42.30
This balance is negative.
================================================================
Explanation:
Start with -42.30 and add on 16.50
-42.30+16.50 = -25.80 is the final balance
The negative balance means Marcos owes this amount of money to the bank. This is true even though he deposited $16.50; he would need to deposit another $25.80 to get out of debt (this is assuming that there aren't any other bank fees coming down the line).
We can think of -42.30+16.50 as 42.30-16.50, but then make the result negative since -42.30 has a larger absolute value compared to 16.50
3
Let A and B be two positive integers (whole numbers). The
greatest common factor (GCF) of A and B is 12, and the
lowest common multiple (LCM) of A and B is 180. The value
of A is 36. What is the value of B ?
Answer:
B = 60
Step-by-step explanation:
A = 36
B = 60
We are told that the LCM of A and be is 180. That would mean that 180/36 = 5
greatest common factor (GCF) of A and B is 12. Multiply this by the GCF of 12 to get 60.
Check to see if this works:
The GCF of 12: 60/12 = 5 and 36/12 = 3: Checks
The LCM of 180: 180/36 = 5; 5*36 = 180 and 3*60 = 1180; Checks
find the slope of the line, given the points (2,1) and (6,3) show all your work. Do not convert into decimal if you have a decimal answer.
m = (Y2 - Y1)/(X2 - X1)
m = (3 - 1)/(6 - 2)
m = 2/4 <==> ½
Given points,
(2,1) = (x₁, y₁)
(6,3) = (x₂, y₂)
To find the slope, we need to use the formula =》(y₂ - y₁)/(x₂ - x₁)
So,
(y₂ - y₁)/(x₂ - x₁)
= (3 - 1)/(6 - 2) [substitute the values]
= 2/4
= 1/2
◇ Slope of the line = 1/2.
_____
Find the slope and y-intercept
Answer:
1/2 and -1
Step-by-step explanation:
Rise = 2-1 = 1
corresponding Run = 6 -4 =2
rise/run = 1/2 = slope
So we know that when x=0 we will find the y intercept/
put them in ordered pair you will find
(6,2)
(4,1)
the next one should be (2,0)
and (0,-1)
So the y intercept is -1
Answer:
m=1/2
b=-1
Step-by-step explanation:
to find the slope, we need to see what values x and y increase by. in this table, we can see that as x increases by 2, y increases by 1. since slope is written as rise(x)/run(y), we can write the slope as 1/2.
for the y-intercept, we can use how the x and y values increase as well. we need to find the value of y when x is 0. we know that as x increases by 2, y increases by 1, so we need to do the opposite of both to find the y-intercept. this would be x decreasing by 2 and y decreasing by 1. we can make a table to find the y intercept.
x - 0, 2, 4, 6, 8, 10
y - -1, 0, 1, 2, 3, 4
we can see here that when x=0, y=-1, so that is the y intercept or b value.
A sign at the store says 3 oranges cost $2.25 how much are 7 oranges
Answer:
$5.25
Step-by-step explanation:
The cost of 7 oranges is $5.25
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given;
Cost of 3 Oranges= 2.25
So, the cost of 1 orange= 2.25 / 3
= 0.75
Now, the cost of 7 oranges
= 0.75 x 7
= $5.25
Hence, the cost of 7 oranges is $5.25
Learn more about unitary method here:
https://brainly.com/question/22056199
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120 rooms were painted by 6 people over 4 days. If everyone painted the same number of rooms, how many rooms did each one paint in one day?
describe the energies of electrons in an nucleus
Answer:
The Energy of an Electron
The energy of an electron is of the same order of magnitude (is in the same range) as the energy of light. The lines in the spectrum of an element represent changes in the energy of electrons within the atoms of that element. By studying these spectra, scientists have drawn various conclusions about the behavior of electrons in atoms.
1. The energy of an electron depends on its location with respect to the nucleus of an atom. The higher the energy of an electron in an atom, the farther is its most probable location from the nucleus. Notice that we say probable location. Because of the electron's small size and high energy, we are limited in how precisely we can mark its position at any instant. We can only describe regions around the atom's nucleus within which the electron may be found.
2. In describing these regions of space, we also recognize that the energy of an electron is quantized. What does this statement mean? A property is quantized if it is available only in multiples of a set amount. If you are pouring a soft drink from a can, you can pour out as much or as little as you like. However, if you are buying a soft drink from a machine, you can buy only a certain amount. You cannot buy a half or a third of a can of soda; you can buy only a whole can or several cans. Soft drinks dispensed by a machine are available only in multiples of a set volume, or quantum. Thus, the dispensing of soft drinks by machine has been quantized.
Energy can also be quantized. If you are climbing a ladder, you can stop only on the rungs; you cannot stop between them. The energy needed to climb the ladder is used in finite amounts to lift your body from one rung to the next. To move upward, you must use enough energy to move your feet to the next higher rung. If the available energy is only enough to move partway up to the next rung, you cannot move at all because you cannot stop between rungs. Thus, in climbing the ladder, your expenditure of energy is quantized.
Step-by-step explanation:
Please mark as brain list
factor the expression
81x -36
Answer:
(9x-6)(9x+6)
Step-by-step explanation:
If you roll a fair die 100 times and 35 of the rolls result in a two, what would be the probability of the outcome of a 2,
Answer:
56
Step-by-step explanation:
1.If f(x)=6x+1 and g(x) =4+3 , what is (f-g)(x)?
A.2x-2
B10x+4
C-2x+2
D24x+3
2.if f(x)=5x and g(x) =9 , what is (f•g)(x) ?
A. 5^x+9
B45x
C9(5x)
D14x
Can anyone help me with this please ?
Answer:
The answer is B the only answer that I believe is correct
Step-by-step explanation:
How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain
Answer:god
Step-by-step explanation: god is love right is god is right
solve x = sqrt 30^2 - 25^2 please do step by step asap!! root goes all the way over
Answer:
Step-by-step explanation:
Ann purchased a car for $2,700. She paid 8.5% state tax for the car, $99.50 for license plates, and $42 for an emissions inspection. How much does Ann need to pay for all charges, including the price of the car?
Answer:
$3071
Step-by-step explanation:
Before Tax Price: $2,700.00
Sale Tax: 8.50% or $229.50
After Tax Price: $2,929.50
Now we add the other expenses to the after tax price.
Therefore Ann has to pay $3071 for all Charges.
What is -12x-38<-200
Answer:
[tex]x>\frac{27}{2}[/tex]
Step-by-step explanation:
[tex]-12x-38<-200[/tex]
add 38 to both sides of the inequality
[tex]-12x<-162[/tex]
divide by negative -12 on both sides of the inequality, flip the sign, and simplify
[tex]x>\frac{27}{2}[/tex]
How do you calculate the average of a set of numbers?
Answer:
You add all of the numbers of the set and how many numbers there are.
Here is an example:
The set is: {3, 7, 2, 9, 1}
There are five numbers, 3, 7, 2, 9, and 1. We then add all these numbers.
3 + 7 + 2 + 9 + 1 = 22
22 divided by 5 = 22/5 = 4.4
The average number between the set, "{3, 7, 2, 9, 1}" is 4.4.
Hope This Helps! •v•
Elena walked 12 miles. Then she walked 14that distance. How far did she walk all together
Answer:
I don't get the question
Step-by-step explanation:
- 1 1/2 +3 1/2 - 5/8
Answer:
Exact Form: Decimal Form: Mixed Number Form:
11/8 1.375 1 3/8
Step-by-step explanation:
Simplify the expression.
Is 19/99 whole natural integer or rational
help asap for brainlist
Answer:
Function G: +2
Function H: +3
Function H has a greater value when x = 10
Step-by-step explanation:
Is it true that when we multiply a number by 3, we get the same value as if we added 6 to that number.
Answer:
True
Step-by-step explanation:
Multiplying a number by 3 will produce the same value as adding 6 to that number can be expressed algebraically as:
3x = x + 6
In order to determine whether the given statement is true, we can solve for x:
Start by subtracting x from both sides:
3x - x = x - x + 6
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
Substitute the value of x into the original equality statement:
3x = x + 6
3(3) = 3 + 6
9 = 9 (True statement).
Therefore, it is true that when we multiply a number by 3, we get the same value as if we added 6 to that number.
Solve the inequality,
-3k - 12 > -k + 10
Answer:
k < - 11
Step-by-step explanation:
- 3k - 12 > - k + 10 ( add k to both sides )
- 2k - 12 > 10 ( add 12 to both sides )
- 2k > 22
Divide both sides by - 2 , reversing the symbol as a result of dividing by a negative quantity.
k < - 11
Hi!
----------------------------------------------------------------------------------------------------------------
-3k-12>-k+10
-3k+k>10+12
-2k>22
-k>11
Now, when we divide by a negative variable, we change the sign of our inequality:
k<-11
Hope it helps!
~SparklingFlower
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In an examination for the final year students of a school, 60 offered history, 50 economics, 16 offered history and literature, 22 offered economics and literature. If 10 candidates offered all the 3 subjects find the number that offered economics only
Answer:
28
Step-by-step explanation:
9.
Kim is 15 more than three times her nephew's age. If Kim is 36, how old is her nephew?
Answer:
7 years old
Step-by-step explanation:
36=3x+15
x=21/3=7
Answer:
X = 7
Step-by-step explanation:
nephew ---- x
Kim ------ 3x + 15
3x+15 = 36
3x = 36-15
3x = 21
x = 7
I know it’s kind of blurry but it’s the best pic I could get please help me
Answer:
option B
Hope it helps
Solve by elimination.
5x - 2y = 4
3x + y = 9
Answer:
x=2 y=3
Step-by-step explanation:
first multiply equation 2 with (+2)
5x-2y=4
6x+2y=18
now add equation 1 to equation 2
11x=22
x=2 now substitute x=2 in equation 1 or 2
5(2)-2y=4 10-2y=4 -2y=4-10 -2y=-6 y=3
2x - 4y = 20
x/3 - y= 3
Solve by using substitution
Answer:
Step-by-step explanation:
2x-4y=20
y=-3+x/3
2x-4(-3+x/3)=20 ⇒ 2x+12-4x/3=20 ⇒ 2x/3+12=20 ⇒ 2x/3=8
x=12
y=1
2(12)-4(1)=20
in Pittsburgh, the sales tax is charged at the rate of 6%. Find the and the total price of a stereo that cost $860
2x+6/5=2y solve for y
Answer:
y=x+3/5
Step-by-step explanation:
y= (2x+6/5)/2 = x+ 3/5
I really need help on answering this care to give hep?
-3/10(-0.10)=
Answer:
0.03 or [tex]\frac{3}{100}[/tex]
Step-by-step explanation:
Remember to do PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. That is the order and equation is done in. So, -3/10 (if this is a fraction) gets you -0.3. Then multiply that by (-0.10) to get 0.03 or 3/100.
1 point
Levi owns 4 acres of farmland. He grows beets on 2/3 of the land. On how many acres of land does Levi grow beets?
Answer:
3.5
Step-by-step explanation:
