Answer:
If the expression is:
-3x + 12 = -3x + 12, infinite solutions
If the expression is:
-3x + 12 = -3x - 12, no solutions
Step-by-step explanation:
Step 1: Distribute
-3x + 12 = 3x = 12
If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.
If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
ANSWER A
Step-by-step explanation:
Answer:
it has a horizontal asymptote at y=O
Step-by-step explanation:
answer is A.
because A linear parent function is the equation y = x or f(x) = x.
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups ofcream. How many quarts of each flavor should you make in order to use up all the eggs and cream?
Answer:
in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
Step-by-step explanation:
Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.
For Creamy Vanilla go 2 eggs and 3 cups of cream
For Continental Mocha go 1 egg and 3 cups of cream.
Total number of eggs = 500 eggs
Total number of cream cups = 900 cups.
For the eggs;
2 eggs × x + 1 egg × y = 500
2x + y = 500 .......1
For the cream cups;
3 cups × x + 3 cups × y = 900
3x + 3y = 900
Dividing through by 3
x + y = 300 .......2
Solving the simultaneous equation;
Subtracting equation 2 from 1
(2x + y) - (x+y) = 500-300
2x -x = 200
x = 200
Substituting x = 200 into equation 2;
200 + y = 300
y = 300 - 200
y = 100
Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Joy took 1/4 of the remaining nuts. Brent took 1/2 of the remaining peanuts.Preston took 10. There were 71 remaining in the bag. How many peanuts were oringinally in the bag? How many peanuts did each child take?
Answer:
Originally there was 324 nuts in the bag.
Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.
Step-by-step explanation:
Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).
So we can write the following equations:
P1 = N/3
After removing N/3, the remaining nuts is (N - N/3):
J = (N - N/3)/4 = (2N/3)/4 = N/6
After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):
B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4
P2 = 10
In the final there were 71 nuts remaining, so we have that:
N - N/3 - N/6 - N/4 - 10 = 71
N - N/3 - N/6 - N/4 = 81
N/4 = 81
N = 324 nuts
The amount of nuts took by each child is:
P1 = N/3 = 108 nuts
J = N/6 = 54 nuts
B = N/4 = 81 nuts
P2 = 10 nuts
Solve the equation 2x + 10 = 30
What are the coordinates of the point that partitions AB according to the part-to-part ratio 4:3?
Answer:
(-1,0)
Step-by-step explanation:
Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P
The section formula is used here and the point we are having would be;
P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)
From the question;
m = 4 and n = 3
x1 = -5, y1 = -8
x2 = 2 , y2 = 6
Plugging these values in the equation above, we have;
P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)
P = (8-15)/7, (24-24)/7
= -7/7, 0/7
= (-1, 0)
The coordinates of point P is (-1,0)
Given triangle ABC shown below, which graph shows the transformation
(x + 3, y-2)
A
B
C
D
Answer:
its c
Step-by-step explanation:
In still water, a boat averages 18 miles per hour (mph). It takes the same amount of time to travel 33 miles downstream (with the current) as it takes to travel 21 miles upstream (against the current). What is the rate of the water's current
Answer:
The rate of the water current is 4mph
Step-by-step explanation:
Let c= the rate of the current in mph
18+c= the rate of the boat going downstream in mph
18-c= the rate of the boat going upstream in mph
t = time in hrs for both upstream and downstream trips
Going downstream:
33=(18+c)*t (1)
Going upstream
21=(18-c)*t (2)
From (1)
33=(18+c)*t
t=33/1(8+c)
Substitute t=33/(18+c) into (2)
21=(18-c)*t
21=(18-c)*33/(18+c)
Cross product
21(18+c)=33(18-c)
378+21c=594-33c
21c+33c=594-378
54c=216
Divide both sides by 54
54c/54=216/54
c=4
Therefore,
The rate of the water current is 4mph
???????????????????????
Answer:
D is the answer
Step-by-step explanation:
because it has high probability of success 70 %
so
Find m∠V. Struggling in geometry! Help plz :/
Answer:
16 degrees
Step-by-step explanation:
74 + 90 = 164
180-164 = 16
In 1860, gingham cloth sold for
$0.25 per yard. Mrs. Olsen bought
16.4 yards to make clothes for her
whole family. How much did she
spend on cloth?
Answer:65.6
Step-by-step explanation:
So $0.25 per yard
16.4/$0.25=65.6
3
4
5
The table represents a function.
What is f(-2)
f(x)
-3
3
-1
x
-6
-2
0
3
1
0 1
4
-2
3
Answer:
The answer is option D.3Step-by-step explanation:
From the table above f(-2) = 3
Hope this helps you
solve for x. 5x+9=24
Answer: x=3
Step-by-step explanation:
5x+9 =24 subtract 9 from both sides
-9 -9
5x = 15 Divide both sides by 5
x = 3
Answer:
[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]
HELP PLZZZZZZZZZZ!!!!!!!!!
Write these numbers in standard form.
a)
seventeen thousand
b) twenty six million
c)
seven hundred and forty thousand
Answer:
A) 17,000 = 1.7x10^4
B) 26,000,000 = 2.6x10^7
C) 740,000 = 7.4x10^5
Step-by-step explanation:
Answer:
1.7x10
Step-by-step explanation:
?
Jim has 3 cats, 5 dogs, and 2 rabbits. Match each type of ratio to the
correct description of Jim's pets. Drag the items on the left to the
correct location on the right
part-to-part ratio
5 dogs to 10 per
whole-to-part ratio
3 cats to 5 dogs
part-to-whole ratio
10 pets to 2 rab
Answer:
The correct locations are;
Part to part ratio is 3 cats to 5 dogs
Whole to part ratio is 10 pets to 2 rabbits
Part to whole ratio is 5 dogs to 10 pets
Step-by-step explanation:
The given information are;
The number of cats Jim has = 3
The number of dogs Jim has = 5
The number of rabbit Jim has = 2
The total number of pets Jim has = 3 + 5 + 2 = 10 pets
Therefore;
The fraction of the pets that are cats = 3/10
The fraction of the pets that are dogs = 5/10
The fraction of the pets that are rabbits= 2/10
Therefore we have;
Part to part ratio = 3/10 cats to 5/10 dogs = 3 cats to 5 dogs
Whole to part ratio → 10 pets to 2 rabbits
Part to whole ratio → 5 dogs to 10 pets.
Please answer quick!!
Answer:
mBC = 96°
mB = 55°
mC = 77°
mAB = 154°
Step-by-step explanation:
The angle mB inscribes the arc mAC, so we have:
[tex]mB = mAC / 2[/tex]
[tex]mB = 110 / 2 = 55\°[/tex]
The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:
[tex]mA + mB + mC = 180[/tex]
[tex]48 + 55 + mC = 180[/tex]
[tex]mC = 180 - 48 - 55[/tex]
[tex]mC = 77\°[/tex]
Using again the property of inscribed angles, we have:
[tex]mAB = 2*mC = 154\°[/tex]
[tex]mBC = 2*mA = 96\°[/tex]
What is the product?
Answer: [-12, 3, 2, -2]
Step-by-step explanation:
Multiply each corresponding integer by each other.
4 * -3 = -12
3 * 1 = 3
-1 * -2 = 2
-1 * 2 = -2
PLEASE ANSWER THIS GEOMETRY QUESTION ASAP FOR ME PLEASE!!
Answer:
60°
Step-by-step explanation:
30° + 90° = 120°
180° - 120° = 60°
180 is the sum of interior angels
It takes approximately 8 working days for an orderof number 6 screws to arrive once the order has beenplaced. (Refer to Problem 6-18.) The demand fornumber 6 screws is fairly constant, and on the aver-age, Lila has observed that her brother's hardwarestore sells 500 of these screws each day. Because thedemand is fairly constant, Lila believes that she canavoid stockouts completely if she only orders thenumber 6 screws at the correct time. What is theROP?
Answer:
Step-by-step explanation:
Given that:
The demand for number 6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.
So;
The demand for number 6 screws = 500 screws /day
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.
Delivery time-frame = 8 days
Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.
i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day
= 4000 screws
This implies that these 4000 screws will only last for 6 days.
Thus Lila ROP ( reorder point) will be to reorder for another set of screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.
In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:
This implies that these 4000 screws will only last for 6 days.
The exercise statement states that:
6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.With this information we can also say that:
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.Then, performing the calculation, we find:
[tex] 8 * 500 = 4000 screws[/tex]
See more about finances at brainly.com/question/10024737
The population of Watesville decreases at a rate of 1.6% per year. If the population was 62,500 in 2014, what will it be in 2020?
Answer:
56,735 people
Step-by-step explanation:
We can set up an equation to model this:
The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.
We can plug in the corresponding values and solve:
y = 62500(1 - 0.016)^6
y = 62500(0.984)^6
y = (62500)(0.9077)
y = 56,734.94, which we can round to 56,735 people
Geometry -true or false- After we prove that a theorem is true it becomes a definition
Answer:
False
Step-by-step explanation:
A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.
Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.
if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the distance travelled by the truck during the time interval?
Answer:
The answer is given below
Step-by-step explanation:
Let us assume the truck accelerates for 4 seconds.
Given that:
Initial velocity (u) = 0 (starts from rest),
acceleration (a) = 4 m/s²
time (t) = 4 s
Final velocity (v) = ?,
Distance (s) = ?
To calculate the final velocity, we use the formula:
v = u + at
Substituting values gives:
v = 0 + 4(4)
v = 0 + 16
v = 16 m/s
The final velocity is 16 m/s²
To calculate the distance traveled by the truck, we use the equation:
[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]
The distance traveled by the truck during the time interval is 32 meters
I need help with this one I’m stuck on it.
Answer:4.5
Step-by-step explanation:
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.
Y
¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden
para expresar el peso de cada uno de ellos, tenemos
la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:
8 kg/4 s
2 kg por encomiendaOfertamos la fracción que representa cada una en el total:
kg por encomienda/total de kg
2/8 x 1/4
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
The answer is 9.8 m/s2
Answer:
B. 9.8 m/s^2
Step-by-step explanation:
I got it correct on edg2020
***#BRAINLIEST IF ANSWERED***
Segment QR is tangent to circle P at point Q. What is the measure of
angle PQR? *
37°
53°
90°
97°
Answer:
90
Step-by-step explanation:
its a right angle
Mary invests £12000 in a savings account.
The account pays 1.5% compound interest per year.
Work out the value of her investment after 2 years.
Answer:
Step-by-step explanation:
We khow that Mary invested 12000£ and the account pays 1.5 percent interest per year.
So we should khow what is the value of this 1.5 percent interst .
12000£⇒100 percent
x ⇒ 1.5 percent
x= [tex]\frac{1.5*12000}{100}[/tex]=180 mary inested for 2 years so : 2x=2*180=360so the value after 2 years is : 12000+360=12360
It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49
Answer:
Step-by-step explanation:
6 and 7