What is the value of y in the solution to the system of equations?
x+y=1
2x - 3y = -30
O-8
O-3
O 3
08
Answers
Answer:
y=6.4
Step-by-step explanation:
The solution is in the image
The system of equations are solved and the value of y = 32/5
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 ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x + y = 1 be equation (1)
2x - 3y = -30 be equation (2)
Multiply equation (1) by 2 , we get
2x + 2y = 2 be equation (3)
Subtracting equation (2) from equation (3) , we get
5y = 32
Divide by 5 on both sides , we get
y = 32/5
Hence , the equation is solved and y = 32/5
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Related Questions
What is the Parent Function?
What Are The Transformations?
Answers
Answer:
Parent function:
[tex]x^2+y^2=r^2[/tex]
General equation:
[tex](x-h)^2+(x-k)^2=r^2[/tex]
Transformations:
Its a circle with a center of (100,60) and a radius of 15
A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will reach the surface on the day:
Answers
Step-by-step explanation:
we assume day and night are equally long.
and the mouse will start at night of day 1.
then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).
so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).
with a starting value of 14 (the first night).
so, we are getting an arithmetic sequence
an = an-1 + c
c = 12 in our case.
a1 = 14
a2 = a1 + 12 = 14+12 = 26
a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38
an = a1 + (n-1)×12 = 14 + 12(n-1)
at what n will it reach 86 ?
86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n
84 = 12n
n = 7
so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).
If you help me you have a special place in my heart forever I swear .
Answers
Answer:
x = 9
y = 116
Step-by-step explanation:
116 and y are vertically opposite angles.
Vertically opposite angles are equal.
So,
y = 116
116 and ( 13x - 53 ) are linear pair angles.
Sum of linear pair angles is 180,
13x - 53 + 116 = 180
13x + 63 = 180
Subtract 63 on both sides,
13x = 180 - 63
13x = 117
Divide 13 on both the sides,
x = 117 / 13
x = 9
Todd bought g boxes of granola bars. There are 12 granola bars in each box. Write an expression that shows how many granola bars Todd bought.
Answers
The expression that shows the granola bars Todd bought is 12g.
What is an algebraic expression?The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.
Given: Todd bought g boxes of granola bars.
There are 12 granola bars in each box.
Let g be the boxes of granola bars.
Therefore, the expression that shows the granola bars Todd bought is 12g.
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The difference of twice a number and 3 is at most-26.
Answers
Answer:
x < & = -23/2
Step-by-step explanation:
Let a number be x.
Twice a number = 2x
2x - 3 = -26 and 2x - 3 < -26
2x = -23 and 2x < -23
x = -23/2 and x < -23/2
Need help please answer ASAP!
Answers
Let's see
3x²-9x3x(x-3)3x is one factor
Other one is x-3#2
Mass of 1000 protons
1000×Mass of one proton1.67×10^{-24}×10³1.67×10^{-21}gAnswer:
22. (3) x - 3
23. (4) [tex]1.67 \times 10^{-21}\: \sf g[/tex]
Step-by-step explanation:
Question 22Given expression:
[tex]3x^2-9x[/tex]
Factor out common term [tex]3x[/tex]:
[tex]\implies 3x \cdot x - 3 \cdot 3x[/tex]
[tex]\implies 3x(x-3)[/tex]
Therefore, the two factors are [tex]3x[/tex] and [tex]x-3[/tex]
Question 23[tex]\textsf{Mass of 1 proton}=1.67 \times 10^{-24}\: \sf g[/tex]
[tex]1000=10 \times 10 \times 10=10^3[/tex]
[tex]\begin{aligned}\implies \textsf{Mass of 1000 protons} & = \textsf{mass of 1 proton} \times 1000\\& =(1.67 \times 10^{-24}) \times 1000\\& =1.67 \times 10^{-24}\times 10^3\\ & =1.67 \times 10^{-24+3}\\ & = 1.67 \times 10^{-21}\: \sf g\end{aligned}[/tex]
Please help me with question 12. I don’t know the answer.
Answers
Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)
exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5
Step-by-step explanation:
Paula has a client who wants to invest into an account that earns 4% interest, compounded annually. The client opens the account with an initial deposit of $4,000, and deposits an additional $4,000 into the account each year thereafter.
Assuming no withdrawals or other deposits are made and that the interest rate is fixed, the balance of the account (rounded to the nearest dollar) after the eighth deposit is __________.
Answers
The balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
P = 4000, r = 4% = 0.04 and an additional $4,000 into the account each year thereafter.
The balance of the account after the eighth deposit;
[tex]A = \rm 4000\times \dfrac{1\times (1+0.04)^8}{1-(1+0.04)}[/tex]
A = 36856.90 ≈ $36857
Thus, the balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
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A group of students want to determine if a person's height is linearly related to the distance they are able to jump.
To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.
Each student was given three tries at the jump and their longest jump distance was recorded. The data the students collected is shown below.
Enter the correlation coefficient. Round your answer to the nearest hundredth.
Answers
The correlation coefficient is 0.92
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
[tex]\rm r = \dfrac{\sum (x_{i}-x')(y_{i}-y')}{\sqrt {\sum (x_{i}-x')^{2} \sum (y_{i}-y')^{2}}}[/tex]
After calculation we get
r = 0.92
Therefore it is a Perfect positive correlation
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Aaron flips a coin three times, what is the probability of getting only one head?
3/8
1/8
1/2
3/7
Answers
1/2 + 1/4 = how many quarters
Answers
Answer:
3
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
1/2 + 1/4
= 0.5 + 0.25
= 0.75
= 75/100
= 3/4
Quarter is 1/4.
3/4 can be written as 3 x 1/4
Hence,
1/2 + 1/4 is 3 times 1/4
1/2 + 1/4 = 3 quarters.
Answer:
3/4
Step-by-step explanation:
1*(1/2)= (2/2)*(1/2)= (2*1)/(2*2)=2/4
1/2+1/4=2/4+1/4=3/4
A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?
Answers
Answer:
It is 15 m long.
Step-by-step explanation:
Given
width (b) = 20 m
Area of the floor (A) = 300 m^2
Length (L) = ?
we know
A = L * b
300 = L * 20
L = 15 m
Hope it will help :)
Question 3 :
Find the value of 3x3 - 4x2 + x - 5 when x = -3
(A) -54 (B) -71 (C) -32
Answers
what is the value of...
4x - x + 5, when x = 3
???
Answers
Answer:
The value of 4x-x + 5 when x + 3 is 14
Step-by-step explanation:
4(3)= 12 - 3= 9 + 5= 14
The value of 4x - x + 5 when x = 3 is 14.
To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.
Plugging in x = 3, we have:
4(3) - 3 + 5
Now let's simplify each term:
4(3) = 12
-3 = -3
Now we can substitute the simplified terms back into the expression:
12 - 3 + 5
Next, we perform the addition and subtraction in order from left to right:
12 - 3 = 9
9 + 5 = 14
Therefore, the value of 4x - x + 5 when x = 3 is 14.
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4 meters to 100 centimeters
Answers
Answer:
This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.
For example:
1 meter - 100 centimeters
2 meters - 200 centimeters
3 meters - 300 centimeters
4 meters - 400 centimeters
Hope this helps!
PLSSS HELP ASAP!
(Will give brainliest)
Answers
Answer:
Question 3: D, 90°
Question 2: D, 84°
Step-by-step explanation:
Answer:
2. d. 84°
3. d. 90°
Step-by-step explanation:
Q2
32 + 64 + x = 180x + 96 = 180x = 84°Q3
20 + 70 + x = 180x + 90 = 180x = 90°help me please
[tex]if \: \sin(x) = \cos(50degree) \: find \: x [/tex]
Answers
Answer:
x = 40°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sin x , so
90 - x = 50 , then
x = 40
that is sin40° = cos50°
12
y
8
41.81
48.199
33.69
56.31
ninate Education, Inc.
Answers
Answer:
hope this help you
Step-by-step explanation:
[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]
if f(x)= x²+x(2a+2b)+4ab-x. f'(x)=....
DON'T COPY PASTE!!! please use the methods and steps
Answers
[tex]f(x) = x^2 +x (2a+2b) +4ab-x\\\\f'(x) = 2x+x \cdot 0 + 2a+2b + 0 -1\\\\~~~~~~~~=2x+0+2a+2b-1\\\\~~~~~~~~=2x+2a+2b-1[/tex]
From the definition of the derivative,
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
We have
[tex]f(x) = x^2 + x(2a+2b) + 4ab - x = x^2 + (2a+2b-1)x + 4ab[/tex]
and so
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + (2a+2b-1)(x+h) + 4ab\right) - \left(x^2 + (2a+2b-1)x + 4ab\right)}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + (2a+2b-1)x + (2a+2b-1)h + 4ab - x^2 - (2a+2b-1)x - 4ab}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + (2a+2b-1)h}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2a+2b-1)[/tex]
[tex]\displaystyle f'(x) = \boxed{2x + 2a + 2b - 1}[/tex]
The zeroes of the function are___
Answers
Answer:
The zeros are x = -2, x = 0, x = 4.
Step-by-step explanation:
The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.
A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password must end with a number, how many possibilities are there? a. 175,760 b. 158,184 c. 156,000 d. 140,400 please select the best answer from the choices provided a b c d
Answers
We will see that there are 156,000 different combinations, so the correct option is C.
How many possibilities are there?
First, we need to find the selections, here we have:
First letter.Second letter.Third letter.Number.Now we need to find the number of options for each of these selections.
First letter. (26 options)Second letter. (25 options, because we can't repeat letters)Third letter. (24 options)Number. (10 options).We assumed that the number can be any integer from 0 to 9.
The total number of possibilities is equal to the product between the numbers of options, we will have:
P = 26*25*24*10 = 156,000
So, the correct option is C.
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a piece of string measures 2 16/20 meters which of the following is equivalent to the length of the string in meters
Answers
The equivalent to the length of the string in meters is 14 / 5 meters
How to find the equivalent length of a string?The length of the string is expressed in a mixed fraction form.
length of the string = 2 16 / 20
let's express it in a simplified form. This is usually in an improper fraction form.
Therefore,
2 16 / 20 = 56 / 20
Hence,
56 / 20 = 14 / 5 meters
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On a test that has a normal distribution, a score of 49 falls two standard deviations
below the mean, and a score of 61 falls one standard deviation above the mean.
Determine the mean of this test.
Answers
Answer:
57 mean
Step-by-step explanation:
x = mean
(x - 49 ) = 2 ( 61 -x)
x = 57
I need help quickly, I'm preparing for a test! Help is appreciated!
Solve each triangle. Round your answers to the nearest tenth. (#4)
Answers
The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.
Then the other two angles and the side CA will be
The side CA is given by the cosine rule. Then we have
[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]
Then angle A will be given by the sine rule. Then we have
[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]
Then the angle C will be
∠A + ∠B + ∠C = 180°
65.37° + 97° + ∠C = 180°
∠C = 17.63°
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factor 6x(x + 12) – 15(x + 12)
Answers
What is the diameter of the circle (x + 25/4)² + y² = 25?
Answers
Answer:
10 units
Step-by-step explanation:
Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.
The equation of a circle is written in standard form as ...
(x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r
__
Comparing this to what you are given, you see that ...
h = -25/4
k = 0
r² = 25
The radius is ...
r = √25 = 5
The diameter is twice the radius, so is ...
d = 2r = 2(5)
d = 10
The diameter of the circle is 10 units.
Clay and his friend Lacey are making cookies for the school dance. Clay started early and has already made 3 dozen cookies. He can make an additional 2 dozen cookies an hour. Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour. If Lacey starts baking her cookies right away, how long will it take for her to have made as many cookies as Clay? How many cookies will they each have made?
HELP PLEASE
Answers
If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Clay and his friend Lacey are making cookies for the school dance.
Clay started early and has already made 3 dozen cookies.
He can make an additional 2 dozen cookies an hour.
Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.
Let y be the number of the cookies (in dozen) and x be the number of the hours.
Then the equations will be
y = 2x + 3 ...1
y = 4x ...2
If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be
From equations 1 and 2, we have
2x + 3 = 4x
2x = 3
x = 1.5
Then the number of hours will be 1.5 hours.
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1. 2x - 12 = 6
2. 2x + 6= 8
3. 12 = 12s - 12
4. 14s + 6 = 35
5. 3s - 12 = 6
6. 18t + 9 = 34
7. 21x + 7 = 28
8. 105 = 50y + 5
9. 1/4x - 6 = 24
10. 13x + 2 = 18
11. 6 - 3x = 18
12. 14 + s = 21
13. 28 = 16x - 4
14. 19x + 2 = 40
15. 10t = 194
16. 400x + 100 = 1100
17. - 3x + 43 = 113
Answers
1. x=9
2. x=1
3. s=2
4. s= 2.5
5. s=6
6. T=5/6
7. x=1
8. y=2
9. x=120
10. x=16/13
11. x=-4
12. s=7
13. x=2
14. x=2
15. t=97/5
16. x=5/2
17. x=-70/3
Which of the following is in standard form of quadratic?
Answers
How many more pairs of parallel sides does a regular octogon have then a regular hexagon
Answers
Answer:
1 more.
Step-by-step explanation:
A regular octagon has 4 pairs.
A regular hexagon has 3 pairs.
Hope this helped. :)
