Solve the system of equations by graphing.
x+y=3
5x+5y=15
Answers
The system of equations are graphed in the image below, showing that they have infinitely many solutions, which include (3, 0) and (0, 3).
What is the Solution to the System of Equations?The values of a pair of x and y that will make two different equations in a system true is the solution to the system of equations.
By graphing, we can determine the solution by finding the x and y coordinates of the point that both lines of the equations intersect at.
The lines of x + y = 3 and 5x + 5y = 15 are graphed in the image below, which is the same blue line. This shows that the equations have infinitely many solutions such as (3, 0) and (0, 3).
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Related Questions
Sandra can knit 36 rows on a scarf in 18 minutes. How many rows can she knit in 25 minutes?
Answers
This calls for applying rates:
18 minutes = 36 rows
1 minute = 36/18 = 2 rows
25 minutes = 2 x 25 = 50 rows
The answer is 50 rows in 25 minutes. I hope this helps!
Evaluate. [(1 1/5−2/5)⋅(−3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box. NEED ANSWER NOW PLEASE!!!!!!!!!!!!!!!
Answers
Answer:9/20
Step-by-step explanation:
11/5-2/5=9/5
-3/4*3= 9/4
9*-9=-81
5*4=20
-81/20 /-9
9/20
Please help I was sick and missed out on class.Thank you
Answers
==========================================
Explanation:
Both points have the same x coordinate, which immediately tells us both points are on the same vertical line.
All vertical lines have an undefined slope. This is because when it comes to rise/run, the "run" is zero. Dividing by zero is not allowed.
Check out the steps below.
[tex](x_1,y_1) = (-10,9) \text{ and } (x_2,y_2) = (-10,18)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 9}{-10 - (-10)}\\\\m = \frac{18 - 9}{-10 + 10}\\\\m = \frac{9}{0}\\\\m = \text{UND}\\\\[/tex]
The "UND" is shorthand for "undefined". Some textbooks may use the notation "NaN" to refer to "not a number".
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 25 pounds each, and the small boxes weigh 50 pounds each. There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?
Choose one:
Number of large boxes: 5
Number of small boxes: 10
Number of large boxes: 50
Number of small boxes: 55
Number of large boxes: 38
Number of small boxes: 75
Number of large boxes: 55
Number of small boxes: 50
Answers
Answer:
There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?
50 large boxes
55 small boxes
55 large boxes
50 small boxes
First, "boxes of two sizes" means we can assign variables:
Let x = number of large boxes
y = number of small boxes
"There are 105 boxes in all" means x + y = 115 [eq1]
Now, the pounds for each kind of box is:
(pounds per box)*(number of boxes)
So,
pounds for large boxes + pounds for small boxes = 7,875 pounds
"the truck is carrying a total of 7,875 pounds in boxes"
(50)*(x) + (25)*(y) = 7,875) eq2]
It is important to find two equations so we can solve for two variables.
Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:
x = 105 - y [from eq1]
50(105-y) + 25y = 4125 [from eq2]
5750 - 50y + 25y = 4125 [distribute]
5750 - 25y = 4125
-25y = -1625
y = 65 [divide both sides by (-25)]
There are 50 small boxes.
Put that value into either equation (now, which is easier?) to solve for x:
x = 115 - y
x = 115 - 65
x = 50
There are 55 large boxes.
Check (very important):
Is 50+65 = 115 ? [eq1]
115 = 115 ?yes
Is 50(50) + 25(65) = 4125 ?
2500 + 1625 = 4125 ?
4125 = 4125 ? yes
Solve for b.
b - 14 = -10
Answers
Answer:
b=4
Step-by-step explanation:
b-14 =-10
b-14+14=-10+14
b=4
Pleas help congruent, triangles, and classifying and solving for sides/angels
Answers
8. The value of x is 9.
9. The value of x is 6.
What are congruent triangles?Two triangles are congruent if all the corresponding sides and corresponding angle are equal.
8.
In the given triangle ∠A=(3x-4)°, ∠B=(13x+2)° and ∠C=(5x-7)°
The sum of all three angles of a triangle is 180°,
Implies that,
∠A+∠B+∠C=180°
3x-4+13x+2+5x-7=180
21x-9=180
21x=189
x=9
9.
In the given triangle, ∠A=(7x+1)°, ∠B=(19x-18)° and ∠C=(10x-9)°
The sum of all three angles of a triangle is 180°,
Implies that,
∠A+∠B+∠C=180°
7x+1+19x-18+10x-9=180
36x-26=180
36x=216
x=6
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A square has a side length of 4x+1
What is the perimeter of the square and area of the square?
I’ll give points + brainalist
Answers
Answer:
16x+4
Step-by-step explanation:
Perimeter= side+side+side+side or 4(side)
Plug in side length
Perimeter= 4(4x+1)
Perimeter=16x+4
It can't be further simplified
The annual fundraising goal of a is $100,000. So far $46,088 has been raised. How much more money is needed to reach the goal? What???
Answers
If annual fundraising goal of a is $100,000 and so far $46,088 has been raised, then they have to raise $53912 to reach the goal
The goal of the annual fund raising = $100000
The raised amount = $46088
The amount of money needed to reach the goal = The goal of the annual fund raising - The raised amount
Here we have to use the subtraction
Substitute the values in the equation
The amount of money needed to reach the goal = 100000 - 46088
= $53912
Hence, if annual fundraising goal of a is $100,000 and so far $46,088 has been raised, then they have to raise $53912 to reach the goal
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a\b − c+d if a=7\8 , b=−7\16 , c=0.8 , and d=1\4
Answers
By solving the equation a\b − c +d, we get the answer -2.55
Given,
In the question:
The equation is given as:
a\b − c + d
The values are given as:
a=7\8 , b=−7\16 , c=0.8 , and d=1\4
Now, According to the question:
Substitute the values a=7\8 , b=−7\16 , c=0.8 , and d=1\4 into a\b − c + d.
Now,
[tex]\frac{7}{8}[/tex] × [tex]\frac{16}{-7}[/tex] - 0.8 + 1/4
Cross out the common factor:
= -2 - 0.8 + 1/4
Taking L.C.M
= [tex]\frac{-8-3.2+1}{4}[/tex]
Calculate the sum or difference:
= -10.2/4
= - 2.55
Hence, By solving the equation a\b − c +d, we get the answer -2.55
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bala had 240 cards and tom had 780 cards. after tom gave some cards to bala, bala had twice as many cards as tom. how many cards did tom give to bala?
Answers
The answer is tom will give 440 cards to Bala, using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The total number of cards is 780+240 = 1020.
If in the end Bala will have twice as many cards as Tom then I would divide the 1020 by 3 which equals 340.
So Bala will have 2*340 = 680 cards
Tom will have 340 cards.
Now Bala will need (680-240) = 440 more cards.
Hence Tom will give 440 cards to Bala.
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4a² + 4ab-3b² = (2a+3b)(_)
Complete the factoring
Answers
Answer:
(2a + 3b)(2a - b)
Step-by-step explanation:
4a² + 4ab - 3b²
consider the factors of the product of the coefficient of a² and b² which sum to give the coefficient of the ab- term.
product = 4 × - 3 = - 12 and sum = 4
the factors are + 6 and - 2
use these factors to split the ab- term
= 4a² + 6ab - 2ab - 3b² ( factor the first/second and third/fourth terms )
= 2a(2a + 3b) - b(2a + 3b) ← factor out (2a + 3b) from each term
= (2a + 3b)(2a - b)
How many words with or without meaning each of 2 vowels and 3 consonants can be formed from the letters of the word "Honesty" ?
Answers
Answer:
The number of words with two vowels and 3 consonants from the letters of the word ‘HONESTY’ is 1200.
Step by step explanation:
alpha beta square +alpha square beta quadratic equation
Answers
β=-α is the solution for alpha beta square +alpha square beta quadratic equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
alpha beta square +alpha square beta quadratic equation
αβ²+βα²
αβ(β+α)
αβ=0
and
β+α=0
β=-α
Hence β=-α is the solution for alpha beta square +alpha square beta quadratic equation
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The vaule of 5-a is 20 greather than the vaule of 6a-1
Answers
The value of a when the value of 5-a is 20 greater than the vaule of 6a-1 is -2.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since the value of 5-a is 20 greater than the vaule of 6a-1. This will be:
5 - a > 6a - 1 + 20
Collect like terms
-a - 6a > - 1 + 20 - 5
-7a > 14
Divide
a > 14 / -7
a > -2
Therefore, a is greater than -2.
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raise u to the 10th power, then double the result
Answers
u raised to the 10th power, then the result doubled gives 2u¹⁰
How to write an algebraic expression?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, multiplication, exponent, etc.
Given: raise u to the 10th power, then double the result
Step 1: Raising u to the 10th power implies: u¹⁰
Step 2: Doubling the result means multiplying what you obtained in step 1 by 2, that is, 2 × u¹⁰ = 2u¹⁰
Therefore, raising u to the 10th power and then doubling the result gives 2u¹⁰
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Is 11/16 greater than less than or equal to 3/8
Answers
Explanation: Once you make 3/8 a equivalent fraction (6/16) then u can tell that’s it’s less than 11/16 :)
Answer:
Greater than
Step-by-step explanation:
3/8 = 6/16
6<11
therefore, 11/16 is greater than 3/8
(9t²-t-6)(9t² +9t - 1)
Help!
Answers
Answer:
we can't give an answer if there's not explanation of which "t" is
Can anyone solve this
Answers
Answer:
Step-by-step explanation:
y= 53/3 prob wrong but idek
The cost in dollars of making x items is given by the function C(x)=10x+900 .
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
Fixed cost =$
b. What is the cost of making 25 items?
C(25)=$
c. Suppose the maximum cost allowed is $1900 . What are the domain and range of the cost function, C(x) ?
Domain:
Range:
Answers
Step-by-step explanation:
when we give a function an actual value as argument, we are using the variable(s) in the functional definition as intended : as placeholders for actual values.
so, we only need to replace any occurrence of the variable by the actual value and calculate.
a.
zero items are produced means x = 0.
C(0) = 10×0 + 900 = $900
fixed cost = $900
b.
making 25 items means x = 25.
C(25) = 10×25 + 900 = 250 + 900 = $1,150
c.
the domain is the interval or set of all valid values for x.
the range is the interval or set of all valid values for y (the functional result).
now, the maximum cost allowed is $1900.
how many items are that ?
1900 = 10x + 900
1000 = 10x
x = 100
so, the domain is
0 <= x <= 100
the range is
$900 <= y <= $1900
Someone please help…
Answers
Answer:
(x-5),(y+2)
Step-by-step explanation:
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = -2(x-3)
Answers
Substitute 0 in for x and solve for y
The point (y-intercept) is (0,6) so the y-coordinate is 6
When the inequality. y> x + 1 is graphed, the shade is below the line and the line is dashed.
False
True
فے
Answers
The inequality y > x+1 graphed is false.
Given,
In the question:
When the inequality y > x +1 is graphed,
The shade is below the line and the line is dashed.
Check the above information is true or false.
Now, According to the question:
The inequality is given as:
y > x +1
The graph is:
∴The shade is below the line and the line is dashed
The answer is false.
Hence, The inequality y > x+1 graphed is false.
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The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6. Function 2 y = 2x + 7 How much more is the rate of change of function 2 than the rate of change of function 1? (4 points) a 1 b 2 c 3 d 4
Answers
The rate of change of function 2 is greater than the rate of change (slope) of function 1 by: B. 2.
How to determine the difference in the rate of change?Since the line on this graph is perpendicular to the y-axis (horizontal line), we can reasonably and logically deduce that its rate of change (slope) is equal to zero (0) because there is no change in the y-value on the y-axis.
This ultimately implies that, the rate of change (slope) of function 1 (y = 6) with an horizontal line is equal to zero (0).
Next, we would calculate the rate of change (slope) of function 2 i.e y = 2x + 7. Mathematically, the standard form of the equation of a straight line function is given by;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.By comparing the two (2) equations, we have the following:
y = mx + c ≡ y = 2x + 7
Therefore, the rate of change (slope) of function 2 is equal to 2.
Now, we can calculate the difference between the rate of change (slope) of function 2 and the rate of change (slope) of function 1 as follows:
Difference = 2 - 0
Difference = 2.
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what would the correct number line be for this compound inequality? 3x - 5 > or -2x _< -10
Answers
The correct number line that shows the solution to the compound inequality is given by:
Number Line A.
What is a compound inequality?A compound inequality is an inequality that is composed by multiple conditions.
Then these conditions are related with one of two operations, listed as follows:
and operation: the values need to respect all the conditions of the compound inequality.or operation: the values need to respect at least one of the conditions of the compound inequality.In this problem, the compound inequality is given as follows:
3x - 5 > 1 or -2x ≤ -10.
The solutions to the first condition are given as follows:
3x > 6
x > 2.
The solutions to the second condition are given as follows:
2x ≥ 10
x ≥ 5.
The interval of values that is the union of these solutions is given by:
x > 2.
Hence number line A is the solution to the inequality.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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y= -x+8
y= 2x+5
solve the following systems..
Answers
Answer:
x = 1
y = 7
Step-by-step explanation:
y = -x + 8
-y= -2x - 5 (Switch the signs of y = 2x + 5)
0= - 3x + 3 (Subtract both equations)
3x = 3 (Add 3x on both sides)
x = 1 (Divide by 3 on both sides)
y = -1 + 8 (Plug x as 1 in the equation y = -x + 8)
y = 7 (Simplify)
Leading to the answer
x = 1
y = 7
In Aurora’s candy box, of the candies are strawberry flavored and are chocolate flavored.
What is the fraction of strawberry and chocolate flavored candies that Aurora has in her box?
Answers
The fraction of strawberry and chocolate flavored candies that Aurora has in her box is 5/4
How to calculate the fraction?From the information illustrated, 30 of the candies are strawberry flavored and 24 are chocolate flavored.
Therefore, to get the fraction, we have to divide them. This will be illustrated as:
= Number of strawberry candies / Number of chocolate candies
= 30 / 24
= 5/4
The fraction is 5/4.
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Complete question
In Aurora’s candy box, 30 of the candies are strawberry flavored and 24 are chocolate flavored. What is the fraction of strawberry and chocolate flavored candies that Aurora has in her box?
The median monthly rent in 2005 was $694 and $810 in 2010. What was the percent increase in the median monthly rent prices from 2005 to 2010? Round to the nearest tenth of a percent.
Answers
The percent increase in the median monthly rent prices from 2005 to 2010, using proportions, was of:
16.7%.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of a problem.
One application of proportions is to obtain the percent increase in the context of a problem, as it is calculated as the division of the increase by the total amount and multiplied by 100%.
The parameters to obtain the percent increase in the context of this problem are given as follows:
Initial amount: $694.Increase: 810 - 694 = $116.Hence the percent increase in the median monthly rent prices from 2005 to 2010 is calculated as follows:
P = 116/694 x 100% = 16.7%.
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(x³ + 2x² - 8x+6) ÷ (x² +9)
Answers
Answer:
this should help
Step-by-step explanation:
it is step by step on screenshots I have above
solve for x in the simplest form
Answers
Answer:
x= 12/5
Step-by-step explanation:
Distribute the fraction and solve for x.
Solve.
1) Jake bought a bicycle that cost $65.00 when it was new...
If he eventually sold it for 20% of the original cost, how
much was it sold for?
Answers
Answer:
Jake sold the bicycle for $13.00
Step-by-step explanation:
All you have to do is know the equation would be 20% of $65.00.
That equals 65x0.20.
If you solve it, the answer is $13.00
Jake sold the bicycle for $13.00
Hope this helps!
Answer:
its 13 dollars
Step-by-step explanation:
when you have to find a precent of something you multiply the number by the percentage and divide the answer by 100