3x + 2y = 18
2x + 5y = 14 are both linear equations
The system of linear equations in two variables is an equation with two different variables. Any equation with different variables can be in this system.
The solution for this type of equation by solving and getting two different values for both x and y but the same values are used in both equations.
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Alex came home after school one day and found that his mother had left a plate of cookies. Alex ate 1/4 of the cookies. When his sister Bernice came home, she ate 1/3 of the remaining cookies, and when Carla came home, she ate 1/2 of the cookies on the plate. When their mother came home, there were 5 cookies on the plate. How many did each child eat?
Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left
5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5
Frame calculation process in your words but the final answer is each child ate 5 cookies.
a and b are regular octagons. the scale factor of a to b is 2.5:4. if the perimeter of octagon b is 64 inches, find the perimeter of octagon a.
The perimeter of octagon A is 40 inches.
What is perimeter?Perimeter is the sum of all the sides of a figure.
What is the effect of different ratios of lengths on perimeter?Since, both of them are octagons, we will simply use unitary method to calculate the perimeter of octagon A.
2.5 ---> 4
x -----> 64
cross multiplying gives,
4x = (64)(2.5)
x = 40 inches
Hence the perimeter of octagon A is 40 inches.
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Liam opened a savings account and deposited \$6000$6000dollar sign, 6000. The account earns 5\%5%5, percent in interest annually. He makes no further deposits and does not withdraw any money. In ttt years, he has \$8865$8865dollar sign, 8865 in this account.
Write an equation in terms of ttt that models the situation.
Answer:
8865= 6000 * 1.05[tex]x^{ttt}[/tex]
Step-by-step explanation:
if it is compound interest you multiply initial saving by 1.05 as this is and increase by 5% to the power of the number of years he has saved for.
8865= 6000 * 1.05[tex]x^{ttt}[/tex]
1.4775=1.05[tex]x^{ttt}[/tex]
to find ttt:
[tex]log _{1.05}[/tex][tex]1.4775= 8.0006=8[/tex]
thus ttt= 8 years
Find the value of x
A. 75
B. 70
C. 60
D. 80
Answer:60
Step-by-step explanation:
Find the area of a football field that is 100 yards long and 55 yards wide.
550 yds2
5500 yds2
510 yds2
5100 yds2
Assuming that the football field is a perfect rectangle, we will see that its area is 5,500 square yards.
How to find the area of the football field?
We assume that the football field has a rectangular shape. Remember that for a rectangle of length L and width W the area is given by the formula below.
A = L*W
In this case, we know that the dimensions of the football field are:
L = 100 yards
W = 55 yards.
Then we just need to replace these values in the area formula that is written above, we will get:
A= (100 yd)*(55 yd)
A = 5,500 yd²
The area of that football field is 5,500 yd², so the correct option is the second one.
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2. Mike Williams, an electrician, is single, claims 1 allowance, and earns $425 per week. Find the federal tax withheld each week
The federal tax withheld each week for Mike Williams is given as follows:
$37.
How to obtain the amount he pays in taxes?Mike Williams salary is given as follows:
$425 a week.
The range that contains the salary, from the table given at the end of the answer, is given as follows:
Between $420 and $430.
The number of allowances that he claims is given as follows:
One allowance.
Hence the federal tax withheld each week is given by the 4th column of the interval between 420 and 430, as he claims one allowance, and the numeric value of this tax is given as follows:
$37.
(which is the weekly amount that he pays in taxes).
Missing InformationThe table with the tax information is given by the image shown at the end of the answer.
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Score: 0/7 0/7 answered
Question 3
The legislature in a state has 84 seats. Apportion these seats to the four counties below using Jefferson's
method.
County Population Initial Allocation Seats Received
Adams 25,900
Grant 137,400
Colton 18,000
Davis 45,500
Y < >
Does this situation illustrate any apportionment issues? Select an answer
Submit Question
Yes , situation illustrate the apportionment issues.
What is Legislature?legislature, lawmaking branch of a government. Before the advent of legislatures, the law was dictated by monarchs. Early European legislatures include the English Parliament and the Icelandic Althing (founded c. 930). Legislatures may be unicameral or bicameral (see bicameral system). Their powers may include passing laws, establishing the government’s budget, confirming executive appointments, ratifying treaties, investigating the executive branch, impeaching and removing from office members of the executive and judiciary, and redressing constituents’ grievances. Members may be appointed or directly or indirectly elected; they may represent an entire population, particular groups, or territorial subdistricts.To learn more about territorial refer to:
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-4x + 10y - 4 = 0 slope intercept
If the measure of angle P is three less than twice the measure of angle Q, and angle P and angle Q are supplementary angles, find each angle measure.
The value of angle P = 119°
The value of angle Q = 61°
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 value of angle P be = P
Let the value of angle Q = Q
Now , the equation will be
Measure of angle P is three less than twice the measure of angle Q
Substituting the values in the equation , we get
P = 2Q - 3 be equation (1)
And , angle P and angle Q are supplementary
So ,
P + Q = 180° be equation (2)
Substituting the value of P from equation (2) in equation (1) , we get
2Q - 3 + Q = 180
On simplifying the equation , we get
3Q - 3 = 180
Adding 3 on both sides of the equation , we get
3Q = 183
Divide by 3 on both sides of the equation , we get
Q = 61°
Therefore , the value of Q is 61°
Substitute the value of Q in equation (2) , we get
P + Q = 180°
Subtracting Q on both sides of the equation , we get
P = 180° - 61°
P = 119°
The measure of angle P = 119°
Hence , The value of angle P = 119°
The value of angle Q = 61°
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Complete the square to re-write the quadratic function in vertex form:
y =
-8x²+32x - 28
Answer:
y = -8(x - 2)² + 4
How to write the unit form for 1/3
Answer:
To write the unit form for 1/3, you can simply write "1/3" or use the fraction symbol, which looks like a horizontal line with the numerator above the denominator. For example, you can write the unit form for 1/3 as follows:
1/3
Alternatively, you can use the fraction symbol, like this:
1/3
In both cases, the numerator (the number on top of the fraction) is 1 and the denominator (the number on the bottom of the fraction) is 3. This indicates that the value of the fraction is one-third.
Ben lost half of his candies while walking home. His mom gave him 8 more candies. Now he has
22 candies. How many candies did he have to begin with?
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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Solve for the variable
m/9-1=-2
Answer:
m = -9
Step-by-step explanation:
m/9 - 1 = -2
m/9 = -1
m = -1 × 9
m = -9
------------------------------
check
-9/9 -1 = -2
-2 = -2
the answer is good
Graph the translation and identify the coordinates of the image
The coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and
D'(2, -1).
What is translation of points?
By describing how far a point is moved left, right, and up or down, translations are defined.
If we know which way and how far the figure should be moved, we can draw the translation in the coordinate plane. Use P'(x + a, y + b) to translate the point P(x, y) to the right and up, respectively, by a and b units.
For the given graph, the coordinates of ABCD are,
A(-2, 3)
B(-1, 3)
C(-1, 1)
D(-2, 1)
The translation is, (x, y) → (x + 4), y - 2)
So, the coordinates of A'B'C'D' are,
A(-2, 3) → A'(2, 1)
B(-1, 3) → B'(3, 1)
C(-1, 1) → C'(3, -1)
D(-2, 1) → D'(2, -1)
The graph of translation is attached below.
Hence, the coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and
D'(2, -1).
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4. For i = -1, (4 + 1)² = ?
Answer:
(4 + 1)² = 25
This is because when you raise a number to a power, such as a square or a cube, you are multiplying the number by itself. In this case, 4 + 1 is 5, so 5² is 25.
Which of the follow is the equation of a line perpendicular to y=2x-5 that passes through the point (2, -5)?
Answer:
[tex]D) y=-\frac{1}{2} x-4[/tex]
Step-by-step explanation:
Perpendicular means the slope of the other line is the negative reciprocal.
Slope in y = 2x - 5 is 2.
Negative reciprocal of 2 is - 1/2 or - 0.5
y = - 0.5x + b
Substitute.
- 5 = - 0.5(2) + b
- 5 = - 1 + b
b = - 4
y = - 0.5x - 4
13 Two sides of a triangle are 27 inches and 17 inches. What are the possible lengths of the third side? Give your answer as an inequality.
______
The third side of the triangle will be lies between 10 and 44
The rule that we will use to answer this is:
The sum of lengths of two sides of a triangle must be more than the length of the third side.
So, we have side lengths 27 and 17. 27 + 17 = 44 and thus the third side must be less than 44.
Now to consider how small it can be. If we represent the third side as X, we can get 17 + X > 44 which gives us X > 27
Therefore the third side is between, but not including, 10 and 44 units long.
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Someone can help me please #10
Find each probability and then order from least probable to most probable.
AnSwErS:
Target:
1. The probability of rolling a 7 on a 6-sided die.
2. The probability of rolling a 4 on a 6-sided die.
3. The probability of flipping a head on a coin.
4. The probability of drawing a green or red marble from a bag with 6 red, 5 blue, and 3 green marbles.
5. The probability of rolling a number less than 7 on a 6-sided die.
Step-by-step explanation:
HOPE THIS HELPS!!!!
can someone help me solve this discrete math...answer choices A Y X or B
The value of (n o p) (Δ) is X.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
(n o p) (Δ):
= n ( p(Δ) )
From the function map we have,
p(x) = (Δ, Y)
This means,
For x = Δ we get p(Δ) = Y.
So,
= n ( Y )
From the function map we have,
n(x) = (Y, X)
This means,
For x = Y we get n(Y) = X
So,
= X
Thus,
Using the function map,
(n o p) (Δ) is X.
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The population of a town in 2020 is 40% less than it was in 1980. Find the population in 1980 if it is 49,992 in 2020.
The population of the town in 1982 is 29995.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given, the population in 2020 is 49992.
40 percentage of population
= 40 % of 49992
= 40 x 49992/100
= 19996.8
Now the population in 1982
= population in 2020 - 40% of population in 1982
= 49992 - 19996.8
= 29995.2
Therefore the population in 1982 is 29995.2.
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For 50 points if someones solves this for me
Answer:
It will take 48 seconds before the planes are at the same altitude.
When there are at the same altitude, they will be at 3864 feet.
Step-by-step explanation:
Because its right :)
please give brainliest
Determine whether the relation is a function. Explain.
{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}
Answer:
It's not a function
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
Given relation:{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}
For a relation to be a function, the domain (x-values) should NOT repeat values.
Here,
Domain = {6, -4, 5, 4, 6}
The number 6 in domain is repeated. Hence, this relation is not a function.
[tex]\rule[225]{225}{2}[/tex]
Factor 9t–3u.
Write your answer as a product with a whole number greater than 1.
The factor of the expression 9t – 3u will be 3 and 3t – u.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.
The expression is given below.
⇒ 9t – 3u
Simplify the expression, then we have
⇒ 3·3t – 3u
⇒ 3(3t – u)
The factor of the expression 9t – 3u will be 3 and 3t – u.
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Find the zeros of the function. State the multiplicity of multiple zeros.
y = 10x³ - 10x
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
(Use a comma to separate answers as needed.)
A. The numbers
are zeros of multiplicity 1 and the numbers are zeros of multiplicity 2.
B. The numbers
are zeros of multiplicity 2.
C. The numbers 1,-1,0 are zeros of multiplicity 1.
D. The numbers are zeros of multiplicity 3.
Answer:
C. The numbers 1,-1,0 are zeros of multiplicity 1.---------------------
Given:Function y = 10x³ - 10xFind its zero's:10x³ - 10x = 0x³ - x = 0x(x² - 1) = 0x(x + 1)(x - 1) = 0x = 0 and x + 1 = 0 and x - 1 = 0x = 0 and x = - 1 and x = 1It has three different zeros of multiplicity 1.
Correct choice is C.
30x^2 + 7x - 15
Plese tell the answer
Answer:
Factors are: (5x - 3) and (6x + 5),Roots are: x = 3/5 and x = - 5/6.------------------------------------
It is assumed you need to find the factors or roots of the quadratic trinomial.
30x² + 7x - 15Factorize it as follows:
30x² + 7x - 15 = 30x² + 25x - 18x - 15 = 5x(6x + 5) - 3(6x + 5) = (5x - 3)(6x + 5)The roots are:
5x - 3 = 0 ⇒ 5x = 3 ⇒ x = 3/56x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - 5/6I need help with this pls someone
Answer:
a rotation 90 degrees clockwise of the orgin
Step-by-step explanation:
Bradley went apple picking at a local orchard and bought nine pounds of apples for $8.37.
What was the price per pound for the apples?
Kristen went to the same orchard on the same day and bought a four pounds of apples. How much did Kristen pay for the apples?
Answer: Not sure, Sorry
Note: I try to help people, but i tried and cannot get a right answer.
Message: If this helped you, let me know by giving me a thanks! :)
Answer and step-by-step explanation:
If Bradley bought nine pounds of apples for $8.37, then the price per pound for the apples is $8.37/9 = $0.93.
If Kristen went to the same orchard on the same day and bought four pounds of apples, then she paid $0.93/pound * 4 pounds = $3.72 for the apples.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Destiny owns a cake shop and she is working on two wedding cakes this week. The first cake consists of 4 small tiers and 4 large tiers, which will serve a total of 288 guests. The second one includes 3 small tiers and 5 large tiers, which is enough servings for 316 guests. How many guests does each size of tier serve?
A small tier will serve guests and a large tier will serve guests.
Answer:
small tier: 22large tier: 50Step-by-step explanation:
If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.
SetupLet 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...
4s +4l = 288
And the second cake serves ...
3s +5l = 316
SolutionSubtracting 3/4 of the first equation from the second gives ...
(3x +5l) -3/4(4s +4l) = (316) -3/4(288)
2l = 100
l = 50
4s +4(50) = 288 . . . substitute for l in the first equation
4s = 88 . . . . . . . . . . subtract 200
s = 22 . . . . . . . divide by 4
A small tier will serve 22 guests; a large tier will serve 50 guests.