Answers
Answer:
x=3
y=5
Step-by-step explanation:
3x+2y=19
- 2x+2y=16
_____________
x=3
3(3)=9
19-9=10
10÷2=5
y=5
Answer:
x=3
y=5
Step-by-step explanation:
Method 1 ; Substitution Method
[tex]3x + 2y =19\\2x+2y=16\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:3x+2y=19:\\\quad x=\frac{19-2y}{3}\\\\\mathrm{Subsititute\:}x=\frac{19-2y}{3}\\\begin{bmatrix}2\times \frac{19-2y}{3}+2y=16\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{38+2y}{3}=16\end{bmatrix}\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{38+2y}{3}=16:\quad y=5\\\\\mathrm{For\:}x=\frac{19-2y}{3}\\\\Substitute\:y\:= \:5\\x=\frac{19-2\times\:5}{3}\\\\\frac{19-2\times\:5}{3}=3\\\\x=3,\:y=5[/tex]
Method 2 : Elimination method
[tex]\begin{bmatrix}3x+2y=19\\ 2x+2y=16\end{bmatrix}\\\\\mathrm{Multiply\:}3x+2y=19\mathrm{\:by\:}2\:\\\mathrm{:}\:\quad \:6x+4y=38\\\\\mathrm{Multiply\:}2x+2y=16\mathrm{\:by\:}3\:\\\mathrm{:}\:\quad \:6x+6y=48\\\\\begin{bmatrix}6x+4y=38\\ 6x+6y=48\end{bmatrix}\\\\6x+6y=48\\-\\\underline{6x+4y=38}\\2y=10\\\\\begin{bmatrix}6x+4y=38\\ 2y=10\end{bmatrix}\\\\\mathrm{Solve}\:2y=10\:\mathrm{for}\:y:\quad y=5\\\mathrm{For\:}6x+4y=38\mathrm{\:plug\:in\:}y=5[/tex]
[tex]\mathrm{Solve}\:6x+4\times\:5=38\:\mathrm{for}\:x:\quad x=3\\\\x=3,\:y=5[/tex]
Related Questions
y = -2(x + 1)(x + 4)
Answers
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 85 miles per hour. The eastbound train travels 105 miles per hour. How long will it take for the two trains to be 456 miles apart? Do not do any rounding.
Answers
Answer:
Step-by-step explanation:
We'll make a table for this since we have 2 different trains for which we have formulas. We'll use the distance = rate * time formula, but we have to use it twice because we have 2 trains, then we have to come up with an equation that incorporates both of the distances of the 2 trains to come up with a time. Easy.
d = r * t
East train
West train
Now we can fill in. We know that the rate of the east train is 105 and the rate of the west train is 85, so we fill that in:
d = r * t
East train 105
West train 85
The time is what we are looking for, so that is the unknown for each train:
d = r * t
East train 105 t
West train 85 t
Since the formula is d = rt, we will multiply the rates of each times the time of each and fill in accordingly:
d = r * t
East train 105t 105 t
West train 85t 85 t
Here's an illustration to the best of my abilities in this forum:
<------------------------------|----------------------->
85t 105t
|----------------------456 miles-------------------|
The illustration is supposed to show you that the distance between the trains (456 miles) is found by adding the 2 distances together and solving for t:
85t + 105t = 456
190t = 456 so
t = 2.4 hours
Write the given statement using symbols type any Quetion do not simplify The sum of X and eight is the product of seven and 10
Answers
Answer:
[tex]x+8=7*10[/tex]
Step-by-step explanation:
Sum of X and 8: [tex]x+8[/tex]
Product of seven and 10: [tex]7*10[/tex]
Put them together:
[tex]x+8=7*10[/tex]
Use set notation, and list all the elements of the set.
{x | x is a natural number greater than 14 and less than 22}
The set is { }
Answers
Answer:
Step-by-step explanation:
{15,16,17,18,19,20,21}
do you guys know whats the correct classification of 3 over 8?
Answers
Answer: 3/8
Step-by-step explanation:
please help me:(( Both mitosis and meiosis begin with a diploid cell that contains replicated chromosomes. What are the main differences between these two processes, and what types of daughter cells produced by each? A Meiosis has four cell divisions and results in four haploid daughter cells with genetic variation, while mitosis has two cell divisions and results in two identical daughter cells. B Meiosis has two cell divisions and results in four haploid daughter cells with genetic variation, while mitosis has one cell division and results in two identical daughter cells. CMitosis occurs in gametes to increase genetic variation in daughter cells, while meiosis occurs in body cells for growth and repair. DMitosis produces genetic variation in daughter cells and increases the number of chromosomes, while meiosis occurs in body cells for growth and repair.
Answers
Answer:
Meiosis has two cell divisions and results in four haploid daughter cells with genetic variation, while mitosis has one cell division and results in two identical daughter cells.
Step-by-step explanation:
y varies directly as the square of x when x=2 then y =16 find y when x=8
Answers
Answer: y= 64
Step-by-step explanation:
If y is 16 when x is 2 This means if x is 8 y will be 64.
Set up the proportional equation
[tex]\frac{2}{16} = \frac{8}{y}[/tex] Cross multiply
2y = 128
y= 64
The value of y when x=8 is 256.
It is given that
y ∝ x²
So, y = kx²....(1)
where k = constant of proportionality
What is the constant of proportionality?It relates two parameters that are mutually dependent.
It is given that
When, x=2, y=16
This means, (1) becomes, 16=k.2² ⇒k =4
So, (1) becomes, y =4x²
So, when x= 8, y= 4*8²
So, y =256 when x=8
Therefore, The value of y when x=8 is 256.
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Write the equation of a line perpendicular to the line:
y=−3/4x+5 that goes through the point (-1, -10).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept.
Answers
Answer:
y= 4/3x - 8.7777777777(reoccurring)
Step-by-step explanation:
ok for perpendicular slopes we use the negative reciprocal of the original slope so -3/4 turns into 4/3. next we take the equation y = 4/3x + b and plug in -1 for x and -10 for y to find B.
hOW you would draw a diagram to solve for the following expression.
Captionless Image
Answers
Answer:
whats the expression?
Step-by-step explanation:
Rachel enjoys outdoors. Today she wakes 5 2/3 miles in 2 2/3 hours. What is Rachels unit walking rate in miles per hour and in hours per mile
Answers
Answer:
2 1/8 mph.
Step-by-step explanation:
Distance= time x speed
Same way, Distance divided by time=speed.
In this situation, just divide 5 2/3 by 2 2/3.
Hope this helps!
What is the mean of the following set of data? Round your answer to two decimal places.
{75, 79, 65, 77, 73, 79}
a 75.51
b 75.23
c 74.33
d 74.67
Answers
Answer:
74.67
Step-by-step explanation:
mean= sum of all data / total no. of data
= 75+79+65+77+73+79/6
= 74.66667
by rounding off,
ans is 74.67
Please help me I don’t understand
Answers
Answer:
Step-by-step explanation:
x + 50 + 60 + x + 70 = 180
2x + 180 = 180
2x = 0
x = 0
The principal on Jan’s loan was $4,700, but by the time she had paid it off after four years, the interest and principal totaled $5,388. If Jan made regular quarterly payments of $355 until the loan was paid off, how much did Jan pay for service charges?
Answers
Answer:
$292 in fees
Step-by-step explanation:
First, calculate the total payments Jan made over the 4 years
$355 x 4 payments per year x 4 years = $5,680
Then, calculate the total payments made and subtract the amount of Principal and Interest paid from the total payments made.
$5,680 - $5,388 = $292
$292 is the FEE for the loan
$4,700 is the PRINCIPAL for the loan
$688 is the INTEREST for the loan
Answer:
The answer is 292
Step-by-step explanation:
Is 1/4 and 4/16 an equivalent fraction? If so why ?
Answers
Answer:
Yes
Step-by-step explanation:
1/4 = 4/16 because 1/4 of 16 is 4
Also,
1/4 is just a simplified version of 4/16
The answer to whether 1/4 and 4/16 are equivalent fractions is that; Yes, they are equivalent fractions
How to simplify Fractions?We have two fractions which are; 1/4 and 4/16
Now, the first fraction is already in simplified form and can't be simplified further. However, the second fraction can be further simplified.
For the second fraction which is 4/16, the numerator and denominators have a common term which is 4. Thus, we can factor it out to get;
(4/4) * (1/4)
4/4 =1 and so we see that 4/16 can be reduced to the first fraction and so they are the same.
Read more about Fractions at; https://brainly.com/question/11562149
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2) Two full revolutions = how many degrees? I
Answers
Answer:
720 degrees
Step-by-step explanation:
one full rotation is 360 degrees
360 + 360 = 720
Corrine picked 1/4 gallon of blackberries. She poured the berries equally into 4 containers. What fraction of a gallon is in each container?
Answers
Answer:
1/16 of a gallon
Step-by-step explanation:
total = 1/4 gallon
split into 4 containers
1/4 ÷ 4 = 1/4 • 1/4 = 1/16
1/16 of a gallon
WILL GIVE BRAINLIEST Chapter 12 Probability Review
1. (a) You draw a marble from a bag with one orange marble, three purple marbles, and two
yellow marbles. Then you roll a die. Draw a tree diagram of the sample space.
REMEMBER:
2. (a) You randomly select
two cards from a
standard 52 card deck.
What is the probability
that both cards are a
heart if you replace the
(b) You randomly select two
marbles from a bag of 3 green, 2
red, and 5 blue marbles. What is
the probability that both
marbles are blue if you do not
replace the marble each time?
If independent:
P(A and B) = P(A) P(B)
Answers
At the airport, 4 planes land every 8 minutes. At this rate, how many planes will land in one hour? (Hint: 1 hour = 60 minutes)
Answers
Answer:
30 planes per hour
Explanation:
1.) 60/8= 7.5
2.) 7.5 x 4 = 30
The number of airplanes that land in one hour is 30 airplanes
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of planes that land every 8 minutes = 4 planes
The number of planes that land every minute =
The number of planes that land every 8 minutes / 8
The number of planes that land every minute = ( 4 / 8 ) planes
= 1/2 plane
Now ,
1 hour = 60 minutes
The number of planes that land every hour =
The number of planes that land every minute x 60
The number of planes that land every hour = ( 1/2 ) x 60
= 30 planes
Hence , the number of airplanes that land every hour is 30 airplanes
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You are able to count pennies at a rate of 1 penny per second. How many
days will it take for you to count 268,453 pennies?
Answers
The process of knowledge discovery and data mining is best characterized as:_______a. machine learning, use of statistical methods, large amounts of data.b. a process wherein patients are selected for clinical trials.c. "fishing" for information in data.d. cleaning data for further analysis using other methods.
Answers
Answer: a. machine learning, use of statistical methods, large amounts of data
Step-by-step explanation: Deriving patterns, insights and information which aren't visible from raw information or data could be done through the data mining process. Data mining is performed through a combination of statistical methods and machine learning applied on large amount of dataset, machine learning affords systems the ability to learn on their own without hardcoding or explicitly programmed with statistical methods being a core part of the algorithm used to drive the process of making accurate prediction.
Find the slope of the line that passes through Point A (1, - 2) and the origin using m=
rise/run
Answers
Answer:
-2.
Step-by-step explanation:
The origin is (0, 0). So:
The slope = (-2 - 0 )/ (1 - 0)
= -2/1
= -2.
solve for y 4y-36x=28
Answers
Answer:
[tex]y = 9x + 7[/tex]
Step-by-step explanation:
To solve for y, our goal is to get it isolated on one side of the equation.
[tex]4y - 36x = 28[/tex]
Let's add [tex]36x[/tex] to both sides of the equation.
[tex]4y = 36x + 28[/tex]
Now divide both sides by 4.
[tex]y = 9x + 7[/tex]
Hope this helped!
Answer:
4y-36x = 28........... :4
y-9x = 7
y = 7+9x or y = 9x+7
A certain pickup truck gets 20mpg in the city and 28 mpg on the highway. If the driver drives 270 mi on 11 gal of gas, determine the number of city miles and highway miles that the truck was driven
Answers
Answer:
95 city and 175 highway miles.
Step-by-step explanation:
The driver gets 20 mpg in city, and 28 mpg on the highway.
An equation that could be written is
20x+28y=270
This equation accounts for the distance traveled.
x+y=11
This equotion accounts for how many gallons were driven.
Multiply the bottom equation by 20, so you can solve the set of equations.
20x+28y=270
20x+20y=220
subtract them
8y=50
y=6.25
now plug this back into x+y=11
x+6.25=11
x=4.75
Now 4.75×20=95 city miles and 6.25×28=175 highway miles.
Marisol noticed that she does not have a common factor.
Which accurately describes what Marisol should do
next?
Marisol grouped the terms and factored the GCF out of
the groups of the polynomial 6x3 - 22x2 - 9x + 33. Her
work is shown.
Step 1: (6x3 – 22x2) - (9x + 33)
Step 2: 2x²(3x – 11) - 3(3x + 11)
O Marisol should realize that her work shows that the
polynomial is prime.
O Marisol should go back and group the terms in Step 1
as (6x3 - 22x2 - (9x - 33).
O Marisol should go back and group the terms in Step 1
as (6x3 – 22x2) + (9x - 33).
Marisol should refactor the expression in Step 2
as 2x²(3x + 11) - 3(3x + 11).
Answers
Answer: option 2 describes best
Step-by-step explanation:Given Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.
Step 1: (6x3 – 22x2) – (9x + 33)
Step 2: 2x2(3x – 11) – 3(3x + 11)
Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?
Marisol should realize that her work shows that the polynomial is prime.
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
According to question Marisol grouped the terms and has done factorisation of the given polynomial 6x^3 – 22x^2 – 9x + 33.
In step 1 she has written as (6x^3 – 22x^2) – (9x + 33)
Marisol has to go to step 1 in order to correct her mistake. She has to group the expression as (6x^3 – 22x^2) – (9x – 33) so that she will be able to get the expression as
6x^3 – 22x^2 – 9x + 33 after opening the brackets.
The accurately describes what Marisol should do next will be;
⇒ Marisol should go back and group the terms in Step 1,
as (6x³ - 22x²) - (9x - 33)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Marisol noticed that she does not have a common factor.
And, Her work is shown.
Step 1: (6x³ - 22x²) - (9x + 33)
Step 2: 2x²(3x – 11) - 3(3x + 11)
Now,
Since, The polynomial is,
⇒ 6x³ - 22x² - 9x + 33
And, Her work is shown.
Step 1: (6x³ - 22x²) - (9x + 33)
Step 2: 2x²(3x – 11) - 3(3x + 11)
Clearly, She make mistake on step 1 as to take negative sign common.
Hence, The accurately describes what Marisol should do next is;
⇒ Marisol should go back and group the terms in Step 1,
as (6x³ - 22x²) - (9x - 33)
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What is the average rate of change between:
x=1 and x=2
x=2 and x=3
x=3 and x=4
Answers
Write a polynomial function in standard form with zeros at 0, 1, and 2.
f(x) = x(x - 1)(x - 2)
f(x) = x(x + 1)(x + 2)
f(x) = x3 – 3x2 + 2x
f(x) = x3 + 3x2 + 2x
Answers
Answer:
the first one is correct
Answer:
b
Step-by-step explanation:
Solve for x. (12x + 4) - 8 = 12 A) 30 B) 33 C) 36 D) 40
Answers
Steps to solve:
(12x + 4) - 8 = 12
~Combine like terms
12x - 4 = 12
~Add 4 to both sides
12x = 16
~Divide 12 to both sides
x = 16/12 or x = 4/3
Best of Luck!
what's 1+1 will mark branleyist
Answers
Answer:2
Step-by-step explanation:
What is The point that cuts a segment into two
equal segments
Answers
Answer:
The midpoint of a segment is a point that divides the segment into two congruent segments. A point (or segment, ray or line) that divides a segment into two congruent segments bisects the segment.
Step-by-step explanation: it divides it somehow hope it helps
write four solution of the equation=2x+y=7
Answers
Step-by-step explanation:
x = 1, y = 5
x = 2, y = 3
x =3, y= 1
x=4 y=-1
