Answers
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate y
5y = 20
y = 4
Step 6: Find x
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answer:
(23, 4)
Step-by-step explanation:
Begin by defining x.
x - 5y = 3
x = 3 + 5y
Now substitute.
2(3 + 5y) - 5y = 26
6 + 10y - 5y = 26
5y = 20
y = 4
Now substitute y for 4.
x - 5y = 3
x - 5(4) = 3
x = 3 + 20
x = 23
Related Questions
Which letter on the diagram below represents the name of the circle?
Answers
Answer: (b) A
Step-by-step explanation:
A: the center of the circle
B: the diameter of the circle
C: the radius of the circle
D: not sure, could be the perimeter
Circles are named by their center, so this is named "Circle A".
plz help!! marking brainiest!! (btw jus to clarify, i dont have three questions, they're jus graphs)
Answers
Answer:
c
Step-by-step explanation:
and, S2
inutes)
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is
shown below the column.
tion 1
tion 2
K
J
tion 3
J
K
5
13
tion 4
tion 5
K
J
L
L
tion 6
L
15
tion 7
tion 8
11
7
15
tion 9
tion 10
tion 11
What is the value of L?
tion 12
tion 13
Answers
Correct Question
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?
Answers
Answer:
-7/2 and 2
Step-by-step explanation:
First we move the 19 to the left side
2x^2 + 3x + 5 = 19 becomes 2x^2 + 3x - 14 = 0
Now we can factor this into (2x+7)(x-2) = 0
input values are -7/2 and 2
What is the value of x? [PART 2] A.285˚ B.105˚ C.75˚ D.15˚
Answers
Answer:
x = 17
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x-18 + 4x+45 = 180
Combine like terms
9x +27 = 180
Subtract 27 from each side
9x+27-27 =180-27
9x =153
Divide by 9
9x/9 = 153/9
x =17
What is the solution to this system of equations?
4x + 5y = 7
3x - 2y = -12
Multiply each equation by a number that produces opposite
coefficients for x ory:
45
The solution is
BN
Answers
Answer:
x = -2, y = 3
Step-by-step explanation:
Given equations are,
4x + 5y = 7 ---------(1)
3x - 2y = -12 ----------(2)
Multiply equation (1) by 3
12x + 15y = 21 ------(3)
Multiply equation (2) by (-4)
-12x + 8y = 48 --------(4)
Now add equations (3) and (4),
(12x + 15y) + (-12x + 8y) = 21 + 48
(12x - 12x) + (15y + 8y) = 69
23y = 69
y = 3
From equation (2),
3x - 2(3) = -12
3x - 6 = -12
3x = 6 - 12
x = -2
Therefore, x = -2 and y = 3 will be the answer.
Answer:
What is the solution to this system of equations?
[tex]4x +5y = 7[/tex]
[tex]3x-2y=-12[/tex]
The solution is ✔ [tex](-2,3)[/tex] .
Stephanie saw in an ad in the paper that her favorite kind of perfume was I feel for 25% off if the sale price was $15 what was the original price of the perfume
Answers
Answer: $20
Step-by-step explanation:
Here os the correct question:
Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?
Let the original price of the perfume be y.
Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:
y - (25% of y) = $15
y - (25/100 × y) = $15
y - 0.25y = $15
0.75y = $15
Divide both side by 0.75
0.75y/0.75 = $15/0.75
y = $20
The original price of the perfume is $20
Which points are on the perpendicular bisector of the given segment? Check all that apply. (−8, 19) (1, −8) (0, 19) (−5, 10) (2, −7)
Answers
Answer:
−8, 19
1, −8
-5, 10
Step-by-step explanation:
The points that are on the perpendicular bisector of the given segment is (-5, 10)
What is the perpendicular bisector?Perpendicular bisector is defined as a line that divide an angle into two equal parts at 90 degrees.
The standard equation of a line in point-slope form is expressed as
y-y₁ = m(x-x₁)
First, we need to get the equation of the line using the coordinates (-20, 0) and (10, 15)
Get the slope of the line
m = 15-0/10-(-20)
m = 15/30
m = 1/2
The slope of the line perpendicular to the line is -2
Using the point (-5, 10) on the line, get the equation in the point-slope form:
y - 10 = -2(x + 5)
y - 10 = -2x - 10
y + 2x = -10 + 10
y + 2x = 0
y = -2x
To check which points are on the perpendicular bisector of the given segment, hence;
For the coordinate (-8, 19)
19 = -2(-8)
19 ≠ 16 (This is not a solution)
For the coordinate (1, -8)
-8 = -2(1)
-8 ≠ -2 (This is not a solution)
For the coordinate (-5, 10)
10 = -2(-5)
10 = 10 (This is a solution)
Hence, the point that is on the perpendicular bisector of the given segment is (-5, 10)
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Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answers
Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
descomponer numeros decimales 56238 54100 10000 20000
Answers
Answer:
Acá tenemos numeros de 5 cifras.
los podemos componer como:
D-m-c-d-u (en orden)
D = decenas de millar
m = millar
c = centenas
d = decenas
u = unidades.
56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.
54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.
10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
Answer:
These are your answers.56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.
54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.
10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
Step-by-step explanation:Hope this helped
Can some plss help me :/
Answers
So your line starts at 2 and goes up in a straight line since x=1
So your line starts at 2 and goes up in a straight line since x=1
how do the functions compare over the interval 0 ≤ x ≤ 1
Answers
Answer:
The exponential grows at approximately four times the rate of the quadratic.
A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.
Answers
Answer:
0.9432
Step-by-step explanation:
Given that
[tex]\\Mean (\mu)= 45[/tex]
[tex]Standard\;Deviation (\sigma)= 5[/tex]
Based on this, the proportion of the shirt price between the given range is
As we know that
For 37 dollars
[tex]z_{ score } = \frac{x-\mu}{\sigma}[/tex]
[tex]z = \frac{37.0-45.0}{5.0}[/tex]
[tex]z_1 = -1.6[/tex]
For 59.35 dollars
[tex]\\ z = \frac{59.35-45.0}{5.0} \\[/tex]
[tex]z_2 = 2.87[/tex]
This results into
= P(37.0 < x < 59.35)
= P(-1.6 < z < 2.87)
= P(Z < 2.87) - P(Z < -1.6)
So,
= P(37.0 < x < 59.35)
= 0.9979 - 0.0547
= 0.9432
Refer to Z score table
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Which expression is equivalent to (150x-80y+ 50-50x-25y+20)?
20x-214+ 14
20x+ 11y + 14
20x-11y+6
20x+21y+6
Answers
Answer:
20x+21y+14
Step-by-step explanation:
Combine like terms:
150x-80y+50-50x-25y+20=
100x-80y+50-25y+20=
100x-105y+50+20=
100x-105y+70
100x-105y+70 can be divided by 5 and get 20x+21y+14.
Answer:a
Step-by-step explanation:
rewrite 2^4=16 as a logarithmic equation
Answers
Answer:
The 1st option
Step-by-step explanation:
The base of a logarithm is always the base of an exponent. The log of part would always be the final powered form of the exponent. So, 2 would be the base, 16 would be logged, and 4 would be your answer.
what is the answer to 300x1000
Answers
Answer:
300000
Step-by-step explanation:
Times 1000=add 3 0's
Answer:
300000
Step-by-step explanation:
Put all the zeros together when you times them numbers
Which equations are correct? Select each correct answer.
Answers
Answers:
Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]
Step-by-step explanation:
O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.
Please remember:
2y squared x 3y cubed = 6y to the power 5
Answer:
Solution(s) : Option # 2 and # 4
Step-by-step explanation:
One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.
Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.
Check :
[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]
[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]
Which of the following equations has the solution set {0}?
A.) -14m - 7m + 1 = -7m + 1
B.) -14m + 7m + 1 = -7m + 2
C.) 14m - 7m - 1 = -7m + 1
Answers
Answer:
Option A
Step-by-step explanation:
[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]
Answer:A
Step-by-step explanation:
-14m-7m+1=-7m+1
then
-14m-7m+7m=1-1
-14m=0
m=0
A line passes through the point(8,-6) and has a slope of-5/4 . Write an equation in point-slope form for this line.
Answers
Answer:
y+6 = -5/4(x-8)
Step-by-step explanation:
The point slope form of the equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y --6 = -5/4 ( x - 8)
y+6 = -5/4(x-8)
Rearrange to make x the subject
Answers
t3/b=x
Step by step explanation
t = bx/3
Take b/3 to the left hand side
= x = 3t/b
Hope it helped !!
Comment below
Answer:
[tex]x = \frac{3t}{b} [/tex]
The standard form of the equation of a circle is (x−4)2+(y−2)2=9. What is the general form of the equation? x2+y2−8x−4y+11=0 x2+y2+8x+4y+11=0 x2+y2−8x−4y−29=0 x2+y2+8x+4y−29=0
Answers
The general form of the equation of the circle will be x² + y² − 8x − 4y + 11 = 0.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The standard form of the equation of a circle is (x − 4)² + (y−2)² = 9
Then the general form of the equation of the circle will be
x² + 4² − 8x + y² + 2² − 4y = 9
x² + y² − 8x − 4y + 20 = 9
x² + y² − 8x − 4y + 11 = 0
Then the correct option is A.
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What is the inverse of the function f(x) = 4x + 8?
Answers
Answer:
f^-1(x) = (x-8)/4
Step-by-step explanation:
To find an inverse function, simply flip the x and y variables in a equation and then solve in terms of y.
x = 4y + 8
x - 8 = 4y
y = (x-8)/4
And we have our final answer!
If Z varies directly as y and inversely as square root of x and z = 5, when y =3,x=9. Find the value of z when y=18 and x = 25.
Answers
Answer:
18Step-by-step explanation:
[tex]z \alpha y \\z\alpha \frac{1}{\sqrt{x} } \\z \alpha \frac{y}{\sqrt{x} } \\z = \frac{ky}{\sqrt{x} } -------(1)\\\\5 = \frac{3k}{\sqrt{9} } \\ 5 = \frac{3k}{3} \\3k = 15\\k = 15/3\\k = 5\\Substitute 5 for k in eq 1\\z = \frac{5y}{\sqrt{x} }\\ z=?\\ y=18 \\ x = 25.\\z = \frac{5y}{\sqrt{x} }\\z = \frac{5(18)}{\sqrt{25} }\\z= \frac{90}{5} \\z = 18[/tex]
I hope i am correct
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase? 1.29x + 0.85y < 5 1.29x + 0.85y > 5 0.85x + 1.29y > 5 0.85x + 1.29y < 5
Answers
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
0.85x of potatoes
1.29 y of grapes
0.85x+1.29y<5 is required equation
Inequality represents purchase of x pounds of potatoes for [tex]$0.85[/tex] per pound and y pounds of grapes for [tex]\$1.29[/tex] per pound with total cost was less than [tex]\$5[/tex] is equal to [tex]0.85x + 1.29y < 5.[/tex]
What is linear inequality?" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."
According to the question,
'x' pounds represents the weight of potatoes
'y' pounds represents the weight of grapes
Cost of potatoes per pound = [tex]\$0.85[/tex]
Cost of grapes per pound = [tex]\$1.29[/tex]
Total cost used to purchase the items = [tex]\$5[/tex]
Substitute the values to represents the relation of linear inequality,
[tex]0.85x + 1.29y < 5[/tex]
Hence, linear inequality represents Dan purchase is [tex]0.85x + 1.29y < 5.[/tex]
Learn more about linear inequality here
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Find the 98th term of the arithmetic sequence 14, 10, 6, ...
Answers
Answer:
-374
Step-by-step explanation:
We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.
Answer:
Brainliest!!!!
Step-by-step explanation:
the equation is this...
y = -4x + 14
97 x -4 = -388
-388 + 14 = -374
you might wonder why I did 97... that is becuase 14 is the first term
The prism is cut by a plane that is parallel to a base of the prism.
The intersection of the prism and the plane is a(*fill in the balnk*)
cross section.
Answers
Answer:
if it is a rectangular prism then it is a rectangle.
Step-by-step explanation:
Answer:
Rectangle
Step-by-step explanation:
enter the correct value so that the expression is a perfect square trinomial x^2 - 10x +
Answers
Answer:
25
Step-by-step explanation:
The correct value can be calculated by doing (b/2)²
In this expression, it would be (-10/2)²
Which equals 25
Answer:
x^2 -10x+25
Step-by-step explanation:
Take the coefficient of x
-10
Divide by 2
-10/2 =5
Square it
5^2 =25
Add this to make a perfect square trinomial
x^2 -10x+25
Help please I don’t really understand
Answers
Answer:
35
Step-by-step explanation:
We first need to find the missing side of the base triangle.
15^2 - 9^2 = x
144 = x^2
x = 12
Then, we can use the same formula (Pythagorean theorem) to find BD.
37^2 - 12^2 = x
1225 = x^2
x = 35
how many 1/2 size pieces are in 5 and 2/5
Answers
Answer:
12\
Step-by-step explanation:
Write a compound inequality that represents each situation. Graph your solution. all real numbers that are greater than –8 but less than 8
Answers
Answer:
hope this helps
Step-by-step explanation:
All real numbers that are greater than –8 but less than 8 is given by: -8 < x < 8
:)