Answers
Since both equations equal y they need to equal each other.
2x - 5 = -3x + 10
Add 3x to both sides:
5x -5 = 10
Add 5 to both sides
5x = 15
Divide both sides by 5
X = 3
Now solve for y by replacing x with 3:
Y = 2(3)-5 = 6-5 = 1
Y = -3(3)+ 10 = -9+ 10 = 1
Check: replace y with 1 and solve for x:
1 = 2x -5
Add 5 to both sides
6 = 2x
Divide both sides by 2
X = 3 ( True)
Related Questions
Solve the system of linear equations using either substitution or the elimination method.
y = 3x +5
X+y=1
Answers
Answer:
x = -1
y = 2
Step-by-step explanation:
x + y = 1
y = -x + 1
y = -x + 1 (Multiply this by -1)
y = 3x +5
-y = x - 1
y = 3x +5
0 = 4x + 4
4x = -4
x = -1
x + y = 1
-1 + y = 1
y = 2
In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?
Answers
P × R × T ÷ 100
333,500 × 8% ×24 ÷ 100
64,032,000÷100
640,320
The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Calculation of the amount of profit:Since annual profit is $333,500
The profit percentage should be likely 8%
And, the number of years should be 24
So, the amount of profit should be
[tex]= $333,500 * (1 + 0.08)^{24[/tex]
= $2,114,784
hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Learn more about profits here: https://brainly.com/question/10176219
which is the solution set for the quadratic equation x^2-9=0
Answers
===================================================
Explanation:
We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus
x^2 - 9 = 0
x^2 = 9
x = sqrt(9) or x = -sqrt(9)
x = 3 or x = -3
To check these answers, you replace x with those values we found. I'll show you how to check x = 3
x^2 - 9 = 0
(3)^2 - 9 = 0
9 - 9 = 0
0 = 0
So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.
------------------
Another method you could do is to use the difference of squares rule
x^2 - 9 = 0
x^2 - 3^2 = 0
(x - 3)(x + 3) = 0
Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x
x-3 = 0 or x+3 = 0
x = 3 or x = -3
We end up with the same solution set.
Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.
Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.
What is the probability of people choosing ice cream or soda? Write your answer as a decimal. 30points Only if you get it right
Answers
Answer 50% or .5 there are 2 things
What is the area of the circle of the XY = 17 in?
A. 72.52pi in^2
B. 36.75pi in^2
C. 17pi in^2
D. 8.5pi in^2
Answers
Your answer would be A because the radius of the circle is half of its diameter.
Hope this helps <3 :)
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answers
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$
Answers
Answer:
The equation is;
3(x + 0.75) = 5.88
The original price is $1.21
Step-by-step explanation:
Let the original price per pound be $x
By going up, the new price will be;
(x + 0.75)
3 times this is the new price;
3(x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 3.63
x = 3.63/3
x = $1.21
list at least 3 theorems and give an example for each.
Answers
Answer:
A result that has been proved to be true (using operations and facts that were already known). Example: The "Pythagoras Theorem" proved [tex] {a}^{2} + b {}^{2} = {c}^{2} [/tex] that for a right angled triangle.
FIVE THEOREMS OF GEOMETRY: a circle is bisected by its diameter. angles at the base of any isosceles triangle is equal. If two straight line intersect, the opposite angles formed are equal.If one triangle has two angle and one side is equal to another triangle. any angle inscribed in a semi-circle is a right angle.Step-by-step explanation:
Hope it is helpful...
Mrs. Gurung spends 75% of her income every month which amounts to Rs 9000 and the rest she saves in a bank
Answers
Answer:
See the explanation below
Step-by-step explanation:
The question is asking what the income is and what the rest amount is
We are told that 75% of the income is Rs. 9000
Le the income be x
so
75/100*x=9000
0.75x=9000
x= 9000/0.75
x=12000
Hence the income is
Rs. 12000
The rest amount
=12000-9000
=Rs. 3000
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”
How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
Answers
Answer:
How would Antonio respond....she would say "Thanks for the practice ".
Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.
okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9
Answer:
Rergvfgvf
Step-by-step explanation:
Help me! :) 12 points!
Answers
Answer:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Step-by-step explanation:
Vertical angles are diagonally across for each other and equal the same angle. You would get a better explanation if you looked up pictures.
Linear angles are two angles on a straight line that are divided by another line. Again, you would get a better explanation by looking at a visual
Congruent angles are equal to each other, and because there are no angle measures here, you would go with a vertical angle pair.
Answer:
Step-by-step explanation:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answers
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
To know more about empirical rule click here
https://brainly.com/question/16643905
#SPJ2
find the measure of the angle indicated
Answers
Answer:
105
Step-by-step explanation:
x + 25 + 80 = 180
x + 105 = 180
x = 75
x + y = 180
75 + y = 180
y = 105
2(x - 1) 3(x - 2)
3
4
1
I did not understand
Answers
Answer:
3(x-2)
4(x-5)
5(x-6)
1(x-2)
Polynomial Multiplication: Please HELP ITS FOR MATH!!!!
Answers
Answer:
Step-by-step explanation:
1. Monomial times Monomial
2. Binomial times Binomial
3. Binomial times Trinomial
4. Monomial times Trinomial
5. Binomial times Monomial
Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)
Step-by-step explanation:
The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers
ME HAS CONFUSION PWEASE HELP
Answers
Answer:
The answer is 261
Step-by-step explanation:
Answer:
sorry if i am wrong but i think it is 35
Step-by-step explanation:
i think you have to add the 37 and 39 to get 76 and subtract 111 to get 35
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answers
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky
Select the ratio equivalent to tan (o)
Answers
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
-5x + 4y = 7
-5x - 3y = -14
Answers
Answer:
1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]
2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]
Step-by-step explanation:
BRAINLISRST AND EXTRA POINTS I NEEDS I HELP
Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?
Answers
Answer:150/3.5
Step-by-step explanation:
calculate the mean of 7,0,11,10
Answers
Answer:
7
Step-by-step explanation:
7+0+11+10=28
28/4=7
7+0+11+10=28/4=7
A population of 1500 bacteria is growing at a rate of 10% each day. What is the domain of the population of growing bacteria?
Answers
Answer:
The answer is: the domain of the function that show the population-growing per day is
\mleft{
[tex]x \geqslant 0[/tex]
\mright}
Because the domain is the time, in this cases the days.
I NEED AN ANSWER FOR THE TWO QUESTIONS! I HAVE 3 MINUTES TO FINISH!!! HELP!!!!!!
Answers
Answer:
First one is first option
Second one is the third option
Step-by-step explanation:
What is the lateral and surface area? No link or you will be reported
Answers
the area of a rectangle is the same as the area of a square of side 12cm .if the rectangle is 16 long find its width.
Answers
Answer:
width = 9 cm
Step-by-step explanation:
the area of a 12cm square is 144
16w = 144
x = 9
At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost of 2 pairs of jeans is ($22 × 2) + $6 = $50 and the cost of 3 pairs is ($22 × 3) + $6 = $72.
Answers
Complete question :
Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and
ignore any taxes.
Answer:
$24, $72
$50
Step-by-step explanation:
From the table :
At local store :
2 pair of jeans cost $48
Cost of a pair :
Cost of 2 pairs / number of pairs
$48 / 2 = $24
Cost of 3 pairs :
Cost per pair * number of pairs :
$24 * 3 = $72
At online store :
Cost of Jean include a fixed fee of $6
Cost of one pair of Jean = $28
Actual cost of Jean :
$28 - $6 = $22
Hence, cost of 2 pair of jeans:
($22*2) + $6
$44 + $6 = $50
Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?
Answers
Answer:
495 miles
Step-by-step explanation:
pls help 10 points !! :))
Answers
Answer:
The second one
Step-by-step explanation:
Don’t answer if you don’t know, it’s rude
Word search
Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1
Answers
Answer:
down here :)
Step-by-step explanation:
Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.
Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.