Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899[tex]e^{0.032t}[/tex]
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899[tex]e^{0.032\times 19}[/tex]
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
Answer:
38386000
Step-by-step explanation:
got it right on edge
-5(m + 1) + 7m -1. it is simple
Answer:
2m - 3
I hope this helps!
Which translation will change figure QRSTU to figure Q'R'S'T'U'?
A coordinate plane is shown. Polygon QRSTU is composed of points Q, negative 4 comma 4, R, negative 4 comma 2, S, negative 3 comma 1, T, negative 2 comma 2, and U, negative 2 comma 4. Polygon Q prime, R prime, S prime, T prime, and U prime is composed of points Q prime, 1 comma 2, R prime, 1 comma 0, S prime, 2 comma negative1, T prime, 3 comma 0, and U prime, 3 comma 2.
3 units left and 2 units up
3 units right and 5 units down
5 units right and 2 units down
5 units left and 2 units up
I don't know how to put a picture on it
help!
Answer:
It is 5 units to the right and 2 units down
if it helps look at the picture ^
Answer:
5 units Right and 2 units down
Step-by-step explanation:
I took he test and got it correct
4/7x + 5/14x=36. What is the value of x (both X's must be the same number)
Answer: x= 38 10/13 ?
Step-by-step explanation:
simplify both sides of the equation, then isolate the variable.
Can someone help me please? Im really confused
Answer:
141 degrees i think
Step-by-step explanation:
Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?
96.666..., or about 97 minutes/every mile.
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
Answer:
d+m=120
d=2m
Step-by-step explanation:
Simplify the expression.
−(−x)3 − x3
A. −4x3
B. −2x3
C. 2x3
D. 0
Answer:
D. 0
Step-by-step explanation:
Answer:
d. 0
Step-by-step explanation:
−(−x)3 − x3
(remove parentheses)
x * 3 -x *3
(eliminated opposites)
0
(your answer)
Can someone please help me ?
Answer:
340 total people (see below)
Step-by-step explanation:
So first, you need to find the number of children. To do that, the percentage of adults must be 55% because is 45% of 100% are children, the remaining are adults. You can use a ratio to find the amount of children:
x children = 45%
187 adults 55%
Now, cross multiply:
55x = 187 (45)
55x = 8415
x = 8415/55
x = 153
There are 153 children.
To find the total amount of people in the theater, add the two amounts:
187 adults + 153 children = ? people
= 340 people
15-2
6. What is the value of the expression "eight more than three times the difference of four and a number' when
n = 3? (LEVEL 4)
Answer:
11
Step-by-step explanation:
3(4-n)+8
n=3 so
3(4-3)+8
3(1)+8
3+8
11
PLEASE LEND ME A HAND! I NEED IT BADLY!!!
Answer:
The first one is A
The second one is B
Write the sentence as an inequality.
10 times a number x plus 6 is no less than 42.
Answer:
10x + 6 ≥ 42
Step-by-step explanation:
OMG i dont remember to find square roots
can someone please explain why 5√ 5 is equal to √ 125
15 pts and brainliest!
Answer:
5
Step-by-step explanation:
√125 / 5= √25 since 125 / 5 =25
√25 = 5
Answer:
5x25
Step-by-step explanation:
since its 5 you multiply it by 5 and then multiply why you got to another 5
someone please help! I’ll give brainliest!!
What is the value of k?
Answer:55
Step-by-step explanation:
write an equation of line parallel to the line y=2/5x+10 and passes through the point 10/11
Answer: y=2/5x+b
Step-by-step explanation:
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer:
4860000
Step-by-step explanation:
just multiple the interest by monthly payment and then by 30
A package of candy contains 8 mini candy bars. The cost of the package is $2. What is the unit price?
Answer:
16 8 * 2 = 16 <3
Step-by-step explanation:
Need help with this please
Answer: -2
Step-by-step explanation:
Slope=rise/run
In this case we rise up 4
And we run 2 to the left which makes it a negative
So in this case the slope is -4/2
Which can be simplified to -2
Can you please help me with this?
Answer:
1
hope this helps! :)
DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain it thoroughly?
Step-by-step explanation:
the answer is 50 because 2x-=76 is k :)
Answer:
k (oats in cups) = 25 (grams of almonds)
Step-by-step explanation:
If you look at the coordinates given in the question (1,k) where we are told to find k.
A coordinate is a pair of one x and y value, an input and output in a relationship.
2d coordinates are in the form of (x,y), this means that (1,k) is representing what k will be when x is 1. So to find k, we must look at where y (the amount of almonds in this instance) is when x (the oats) is 1.
This graph looks to be y = 25x.
Where y is the oats in cups, and x is the grams of almonds. This is a proportion which means that there are 25 grams of almonds for every 1 cup of oats.
Exercise 1. A truck has the capacity to transport up to 8 tons of a material at a time. If 104 tons of the material should be transported, how many trucks like this will be needed?
Answer:
how many trucks ?
Step-by-step explanation:
It is solved using the rule of three simple ones, where the number of trucks is for the quantity of material transported. We have that 1 is for 8 as X is for 104 (Look attached).
Multiplying cross, we have to:
8X = 104
X = 104/8
X= 13
9/28 help me with math please
hope this helps broski
❤❤❤
CAN SOMEONE HELP ME PLEASE AND THANK YOU?!
Answer:
AB is parallel to YZ, BC is parallel to XY, AC is parallel to XZ.
Please I need some help
Answer:
A
Step-by-step explanation:
Hope this helps
can you go to my profile and help me with my recent one. plzssss
Answer: A
Step-by-step explanation:
Help me, please !! polynomials
Answer:
That is literally ONE OF THE WORST LESSONS EVER......have fun boo :)
Step-by-step explanation:
what's the answer??
Answer:
2/3
Step-by-step explanation:
2/3 is equal to 0.6 repeating. Hope this helps and good luck on your assignment.
Examine the system of equations at right. y=-2x + 6 y = -9
a. Solve the system below twice graphically and algebraically. Verify that your solutions from the different methods are the same.
b. What is the relationship between the two lines? How can you tell?
c. Solve the system at right using your method of choice. 2x + 3y = 18 4x - 3y = 6
Answer: -6
Step-by-step explanation: y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6
Hope This Helps Dude
8.9% is equivalent to what fraction in reduced terms?
Answer:89/1000
Step-by-step explanation:
Answer:
[tex]\frac{89}{1000}[/tex]
Step-by-step explanation:
8.9% = 0.089[tex]0.089 = \frac{89}{1000}[/tex]I hope this helps!
What is the answer to number 3?
Answer:
A
Step-by-step explanation: