Answer:
The solution to the system of equations given is:
y = 3x = 12Step-by-step explanation:
First, we must see our two equations given:
4x + y = 512x – 6y = 6We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:
(2x – 6y = 6)*(-2) = (-4x+12y = -12)3. -4x+12y = -12
Now, we operate the equations 1 and 3:
(4x + y = 51) + (-4x+12y = -12) = (13y = 39) "The variable x dissapears because 4x - 4x = 0"4. 13y = 39
We solve the equation 4 and obtain the value for "y":
13y = 39y = 39/13y = 3With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:
4x + y = 514x + 3 = 514x = 51 - 34x = 48x = 48/4x = 12In this form, we know the solution to the system of two equations is: x = 12 and y = 3.
PLEASE ANSWER ITS DUE IN 5 MINUTES!! What is the are of the figure?
Answer
Cut out the shapes, and then multiply them.
Step-by-step explanation:
metalworker has a metal alloy that is 25% copper and another alloy that is 70%
copper. How many kilograms of each alloy should the metalworker combine to create 50kg of a 52% copper alloy
x = amount (kg) of 25% coper alloy
y = amount (also kg) of 70% copper alloy
Each kilogram of the 25% alloy contains 0.25 kg of copper, while each kilogram of the 70% alloy contains 0.7 kg of copper. When combined, the metalworker ends up with (x + y) kg of an alloy that should consist of 52% copper, so that it contains 0.52 (x + y) kg of copper.
The metalworker wants to make 50 kg of this new alloy, so that
x + y = 50
of which 52%, 0.52 (50 kg) = 26 kg, is copper, so
0.25x + 0.7y = 26
Solve for y in terms of x :
y = 50 - x
Substitute this into the other equation and solve for x :
0.25x + 0.7 (50 - x) = 26
0.25x + 35 - 0.7x = 26
9 = 0.45x
x = 20 → y = 30
what are two ratios that are equivalent to 1:1
Answer:
2:14 and 3:21
Step-by-step explanation:
A recycling bin in the shape of a rectangular prism has a volume of 9,720 cubic
inches. The base area of the recycling bin is 324 square inches. What is the height
of the recycling bin?
A. O 10 inches
B. O 15 inches
C. O 30 inches
D. O 36 inches
Answer:
YOUR MOM IS THAT BIG
Step-by-step explanation:
LOL
Solve the equation. b/6 = 3 b=
Answer:
b = 18
Step-by-step explanation:
We do the inverse operation thing:
3 x 6 = 18
We can check it by filling it in:
18/6 = 3
So b = 18
The Hurry-Mart convenient store is re-stocking their shelves. They always stock the m&m to Hershey bars at a ratio of 10 to 8. How many Hershey bars do they need if they have 15 bags of m&ms ?
Answer:
12 Hershey bars
Step-by-step explanation:
if its 10 to 8 and you have 15 m&m then you would have to do the 10 which you would have to put 8 then 5 is half of 10 so you would just half 8 which is 4 so 8+4+12. 12 Hershey bars needed to restock the shelf.
Can you please help me
Urgent help need it plz help
1/3 as a percent I REALLLLYY NEED GOUR HELPP
Answer:
33% or 33.3% or 33.33%
Step-by-step explanation:
1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...
But you can write it as 33% or 33.3% or 33.33%
Rosa is making bracelets to sell at the craft fair.
Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.
9514 1404 393
Answer:
k = 4.5
y = 4.5x . . . y bracelets in x hours
Step-by-step explanation:
The constant of proportionality is the "unit rate", the number of bracelets per hour.
k = bracelets/hours = 36/8 = 4.5
The constant of proportionality is 4.5 (bracelets per hour).
__
The equation of a proportional relationship is ...
y = kx
For this relationship, ...
y = 4.5x . . . . . . y bracelets in x hours
In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Answer:
0.986
Step-by-step explanation:
Probability of at least one being vac = 1 - Probability of all 5 not vac
1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986
The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.
Given that in a population, 57% people were vaccinated.
5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.
To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.
The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.
So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.
The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.
Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:
P(Not Vaccinated) = 0.43⁵ = 0.043855
The probability that at least one of them has been vaccinated is the complement of the above probability:
P(at least one vaccinated) = 1 - P(not vaccinated)
= 1 - 0.043855 = 0.956145
Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.
Learn more about probability click;
https://brainly.com/question/31828911
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Add the following lengths:
2' 8"
+ 1' 6"
Answer:
4 ft, 2 in
Step-by-step explanation:
2 ft, 8 in plus 1 ft, 6 in = 3 ft, 14 in
there are 12 inches in a foot
3 ft, 14 in equals 4 ft, 2 in
Answer:
4' 2" inches (rounded)
Step-by-step explanation:
2' 8" + 1' 6" = 4.16666667 feet (exact number)
4.16666667 ≅ 4' 2"
???????????????????????????
Answer:
-9
Step-by-step explanation:
Help plz will do BRAINLIEST!!!!!!
Answer:
125 56 − x 7
Step-by-step explanation:
1/2-3/8/1/3+4/7(5- 1/4 x)
what is -2(3x + 12y - 5 - 17x - 16y + 4)
Answer:
−2(3x+12y−5−17x−16y+4)
=(−2)(3x+12y+−5+−17x+−16y+4)
=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)
=−6x−24y+10+34x+32y−8
=28x+8y+2
(～￣▽￣)～ -Have a wonderful day-I will give brainiest to whoever answers correctly !!
Answer:
2.4
Step-by-step explanation:
The formula you would use is: A = P(1 + rt)
P is the principal which is $270
r is the interest rate
t is the time in years but we have 11 days so 11/360
A is $19.8
let's put the values in the formula
$289.9= $270(1 + r*(11/360))
you will find the r is 2.4
Consider the exponential function g(x) = 1,296x .
Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.
Answer:
g(-1)=1/1296
g(.25)=1/6
g(0)=1
g(.25)=6
g(.50)=36
g(.75)=216
g(1)=1,296
:)
Cameron is going to an amusement park. The price of admission into the park is $20, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Cameron have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on r rides?
Answer:
If he goes on 7 rides he will play $48
The equation if he goes on r rides is $20+$4r
Step-by-step explanation:
Answer:
48
20(4r)
Step-by-step explanation:
20+(4×7)=48
Hope this helps!
Please mark me brainliest if possible. :)
A game is packaged in a box. Each game cube has a side length of 3 inches. How many
games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet?
Answer:
n = 120
Step-by-step explanation:
Given that,
Side length the cube = 3 inches = 0.25 feet
We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.
Let there are n games.
[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]
Hence, there are 120 games packed inside the box.
If Julie had 10 bags of apples that has 5 apples in it and she took out 3 apples from 1 bag, how many apples does she have
Answer:
47 apples
Step-by-step explanation:
50 apples - 3 apples
47 apples
Answer:
56 apples
Step-by-step explanation:
please answer quickly!!!
Answer:
[tex]c=20[/tex]
Step-by-step explanation:
The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:
[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]
In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4
Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021
I need the answer ASAP
Answer: Its a rational number
Step-by-step explanation: All repeating decimals are rational :)
Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.
Im getting kicked out the house if i fail this please help
Answer:oop I put the answer in da wrong play my bad have a good day or night
Step-by-step explanation:
M=2
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1a. What does the variable "x" represent?
1b. What equation represents this word problem?
1c. What is the solution to the word problem?
(Please help me with this quiz)
Step-by-step explanation:
We are solving for the number of students in each bus, so let x represent the number of students in each bus.
We have 4 + 9x = 472.
=> 9x = 468, x = 52.
Hence there are 52 students on each bus.
Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch
aight anyone plz help lol
Answer:
okkokokokokokoookkijoiig
25. (REI.5) What is the value of y in the
following system of equations?
3y = 2x-6
x + y = 8
A. 2
B. 6
C. -2
D. -6
Answer:
6
Step-by-step explanation:
x +y = 8
-x. -x
y = 8 - ×
substitute into the 1st equation
3(8 - x) = 2x - 6
24 - 3x = 2x - 6
+6. +6
30 - 3x = 2x
+3x. +3x
30 = 5x
÷ by 5
x = 6
Kathy is planning a party. She decides to serve pizza to her guests and estimated that she will need 12 pizzas with 8 slices each. If each person eats 3 pieces, then how many people cans she serve.
Answer:
32 people can she serve
Step-by-step explanation:
12x8=96
96 divided by 3=32