Answers
Y= 3
(That’s using substitution)
The value of x = 1/2 , y = 3 of the simultaneous equation.
What are simultaneous equation ?"Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations. When you are asked to solve such equations, you must find values of the unknowns which satisfy all the given equations at the same time. They are Simultaneous Equations because the equations are solved at the same time. Simultaneous Equations need algebraic skills to find the values of letters within two or more equations."
Given, The equations
[tex]2x + 3y = 10[/tex] ----------- eq 1
[tex]4x - y = -1[/tex] ------------ eq 2
multiplying eq 1 by 2
[tex]4x + 6y = 20[/tex] ----------- eq 3
now subtracting eq 3 from eq 2
we get, [tex]7y = 21[/tex]
y = 3 and x = 1/2
Hence, the values of x and y = 1/2, 3 respectively.
To know more about Simultaneous Equation here
https://brainly.com/question/16763389
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Related Questions
why isn't anyone answering this?
Answers
if the system of equations has no soloution what does the graph look like ?
Answers
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?
Answers
Answer:
A
Step-by-step explanation:
miles over hours
40 over 1
120 over 3
What is the slope of the following equation? 8x+3y=9
Answers
Answer:
The answer is -8/3.
Step-by-step explanation:
First, you have to make y the subject :
8x + 3y = 9
3y = -8x + 9
y = (-8/3)x + 3
In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.
what is the percentage? and is it growth or decay
Answers
Answer:
The general form equation is: y(x)= a(1-r)^x such that r is the decay percent. Then, the decay percent is 75%. The equation represents exponential growth because the growth factor is greater than 1.
Answer:
use calculator
Step-by-step explanation:
but I think the answer is 75%
Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph
that they felt best fit the data,
Sylvia's line blank
a line of best fit because her line blank .
Patrick's line blank
a line of best fit blank
as his line blank.
Answers
Answer:
The correct options are;
a) Is
b) Passes through the middle of the plotted scatter data points on the graph
b) Is not
e Does not pass through the middle of the plotted scatter data points on the graph
Step-by-step explanation:
Whereby the graph with the line of best fit on the left was drawn by Sylvia and the graph with the line of best fit on the right was drawn by Patrick, we have;
The line of best fit is a line that gives the relationship of the data points within a graph to each other, such that the line of best fit provides an approximation of the data on a graph
The line of best fit is the line that passes through the mid region of all the scatter points within a graph, and closeness of the data points on the scatter plot to the line of best fit, the higher the level of correlation between the line of best fit and the data.
Therefore, we have;
Sylva's line is a line of best fit because her line passes through the middle of the plotted scatter data points on the graph. Patrick's line is not a line of best fit as his line does not pass through the middle of the plotted scatter data points on the graph.
Answer: Sylvia’s line is a line of best fit because her line is close to most of the data points . Patrick’s line is not a line of best fit as his line is not close enough to all the data points .
Need Help ASAP
The cost of employing an electrician who charges $70 per hour if he worked from 12:30pm until 3:00 pm.
Answers
70*2,5=175$
A business trip reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles, then will he be under or over budget? Prove your thinking.
Answers
Answer:
3355
Step-by-step explanation:
55 x 61 = 3355
Solve for c.
a(c + b) = d.
Answers
Answer:
c = d/a - b
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define
a(c + b) = d
Step 2: Solve for c
Divide a on both sides: c + b = d/aSubtract b on both sides; c = d/a - bA factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 6square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Answers
Answer:
2 1/7 pieces
Step-by-step explanation:
A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Each sheet of cardboard = 2 1/2 square feet
Each smaller pieces of cardboard = 1 1/6 square feet
Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷
Each smaller pieces of cardboard
= 2 1/2 square feet ÷ 1 1/6 square feet
= 5/2 ÷ 7/6
= 5/2 × 6/7
= (5*6) / (2*7)
= 30/14
= 15/7
= 2 1/7 pieces
Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces
f(x) = 3x2 + 2 and g(x) = x2 – 9,
Answers
A figure is shown.
73°
What is the measure of angle x, in degrees?
PLEASE HELP
Answers
Answer:36.5
Step-by-step explanation:
A 25 -pound bag of dog food costs $20.25 A35 -pound bag of the same dog food costs $27.65 Which bag of dog food is the better buy?
Answers
Answer:
The 35 pound bag
Step-by-step explanation:
If you divide the price of the 25 pound bag by the number of pounds it has you get 0.81 dollars per pound
20.25 / 25 = 0.81
However if you divide the price of the 35 pound bag by the number of pounds it has you get 0.79 dollars per pound
27.65 / 35 = 0.79
This means you get more dog food for less in the larger 35 pound bag
A $48 aquarium is on sale at a discount of 24%. What is the sale price of the aquarium?
Answers
Answer:
36.48$
48x24/100=11.52
48-11.52=36.48
Please please I need help last question
Answers
Answer:
I'm need you to retake to picture for me luv, I cant see the numbers
A restuarant bill before tax is $63.50, if the sales tax is 7% and a 18% tip was added what is the total cost of the meal
Answers
Answer:
$79.375
Step-by-step explanation:
Given that:
Bill before tax = $63.50
Tax = 7%
Tip added = 18%
Hence,
Tax = 7% of bill before tax
Tax amount = 0.07 * 63.50
Tax amount = $4.445
Tip amount = 0.18 * 63.50
Tip amount = $11.43
Total meal cost :
Before tax cost + tax amount + tip amount
$(63.50 + 4.445 + 11.43) = $79.375
Please help me with this problem!!
Answers
Given the expression below and based on the values that are given, what will the sign of the product be? -4*(-8/9)*2.78*(1 1/3)*(-2/5)*(-6.2)*(0.2873)*(3 1/11)* A
Answers
Answer:
The sign on the end result is +
Step-by-step explanation:
Given
[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex]
Required
Determine the sign of the result
To do this, we simply write out the product of the sign of individual digit.
[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex] becomes
[tex]- * - * + * + * - * -* + * +[/tex]
Group the product in 2's
[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex]
As a general rule:
[tex]- * - = +[/tex]
[tex]- * + = -[/tex]
[tex]+ * - = -[/tex]
[tex]+ * + = +[/tex]
Apply this rule on the above;
[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex] becomes
[tex]+ * + * + * +[/tex]
Group in 2's
[tex](+ * +) * (+ * +)[/tex]
Apply the rule
[tex]+ * +[/tex]
Finally, this gives:
[tex]+[/tex]
Hence, the sign on the end result is +
Mr. Molier is figuring out the the semester averages for his history students. He can calculate the average of 20 students in an hour. How long does it take him to figure the average for each student? Explain your answer.
Answers
My you pls answer this questions
Answers
Step-by-step explanation:
hlejsjsisjdjsisjsjsjsjsjsisjsnsjssjjsjsjs as
Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute, Joey has eaten 11 1/4 hot dogs. Let ddd represent the number of hot dogs Joey eats per minute for the next 999 minutes. Which inequality represents the number of hot dogs per minute Joey could eat for the last 999 minutes to break his record?
Answers
Answer:
d > 6 3/4
Step-by-step explanation:
Given that:
72 hot dogs in 10 minutes is required to break Record ;
Consumption after 1 minute = 11 1/4 hot dogs
Number of hotdogs consumed per minute for the next 9 minutes = d
Number of consumption per minute required to break record :
d = (72 - 11 1/4) / 9
d = (60 3/4) ÷ 9
d = (243 / 4) * 1/9
d = 243 / 36
d = 6 3/4 hotdogs per minute
Hence, to break record. Consumption must be > 72 hotdogs in 10 minutes
Hence,
d > 6 3/4
A study showed that the ratio of the number of people who get their news from social media to the number of people who get their news from other sources is 3:7. Based on this ratio, how many people in a town of 900 get their news from social media? *
Answers
Step-by-step explanation:
The ratio of the number of people who get their news from social media to the number of people who their news elsewhere is 3:7
Total ratio is the sum of the proportion of those that get their news from social media and those that got their news elsewhere.
It becomes 3+7 = 10
Total number of people in the town is 800
To determine the number of people that got their news from social media, we will divide the proportion of those that get their news from social media by the total ratio and multiply by the total number of people in the town. It becomes
3/10 × 800 = 240
Select the correct answer Simplify the expression -3 divided by (-2/5)
Answers
Answer:
[tex]7 \frac{1}{2}[/tex]
Step-by-step explanation:
(-3) ÷ (-2/5) = [tex](-3) * \frac{-5}{2}[/tex]
[tex]= \frac{15}{2}\\\\= 7 \frac{1}{2}[/tex]
10)
M
p
By which rule are these triangles congruent?
A)
AAS
B)
ASA
SAS
D
SSS
Answers
Answer:
B)
ASA
Step-by-step explanation:
Angle K, Side KN, Angle N
Write the equation of a line in
slope intercept form of a line that
has a slope of -1 and contains
(-5, 2).
Answers
Answer:
y = -x - 3
Step-by-step explanation:
Sorry it’s late but hope this helps. Pls give brainliest.
Please Help Will give brainliest, 5 stars and thanks!
Answers
Suppose that the original price of a short is 40$ which is better 60% discount of a discount of 30 followed by a discount of 35
Answers
Answer:
60% discount is the better buy
Step-by-step explanation
Step one
Original price =$40
Let us compute the various discounts and compare the prices
For 60%
=60/100*40
=0.6*40
=$24
New price = 40-24= $16
For 35%
=35/100*40
=0.35*40
=$14
New price = 40-14= $26
Simplify the following equations
Answers
Step-by-step explanation:
Given the expressions
1)
[tex]\sqrt[5]{16} * \sqrt[5]{2} \\= 16^{1/5} * 2^{1/5}\\= 2^{4(1/5)} * 2^{1/5}\\= 2^{4/5} * 2^{1/5}\\= 2^{4/5+1/5}\\= 2 ^{5/5}\\= 2^1\\= 2\\\\[/tex]
2)
[tex]\frac{\sqrt[4]{243}}{\sqrt[4]{3}} \\= \frac{243^{1/4}}{3^{1/4}}\\= \frac{3^{5/4}}{3^{1/4}}\\=3^{5/4-1/4}\\= 3^{4/4}\\= 3[/tex]
3)
[tex](3+\sqrt{2} )(4+\sqrt{7} )\\= 3(4) + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\= 12 + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\[/tex]
Haden drove 525 miles and used 25 gallons of gas. How many miles did Haden's car travel per gallon of gas? *
Answers
Answer:
21 miles per gallon of gas
Step-by-step explanation:
Solving the above question:
25 gallons of gas = 525 miles
1 gallon of gas = x miles
Cross Multiply
25 gallons × x miles = 525 miles × 1 gallons
x miles = 525 miles/25 gallons
x = 21 miles
Therefore, the miles that Haden's car travelled per gallon of gas is 21 miles per gallon of gas
please help, i have to solve for X
Answers
Answer:
x=2
Step-by-step explanation:
qt =tn
4x+6=5x+4
5x-4x=6-4
x=2