Answer:
The two middle sisters will each receive $250 and $350 respectively
Step-by-step explanation:
Let
The 4th sister = x
The 3rd sister = 100 + x
The second sister = 200 + x
The first sister = 300 + x
Total amount to share = $1,200
x + (x + 100) + (x + 200) + (x + 300) = 1,200
x + x + 100 + x + 200 + x + 300 = 1,200
4x + 600 = 1,200
4x = 1,200 - 600
4x = 600
Divide both sides by 4
x = 600/4
= 150
x = $150
There two middle sisters are:
The 3rd sister = 100 + x
= 100 + 150
= $250
The second sister = 200 + x
= 200 + 150
= $350
The two middle sisters will each receive $250 and $350 respectively
The 4th sister = x = $150
The first sister = 300 + x
= 300 + 150
= $450
What is the slope of this line?
Answer:
[tex]m=\frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -1)
Point (4, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+1}{4+2}[/tex]Add: [tex]m=\frac{4}{6}[/tex]Simplify: [tex]m=\frac{2}{3}[/tex]the equation of line L1 is y=2x+5
the equation of the line L2 is 2y-4x=6
show that these 2 lines are parallel.
Step-by-step explanation:
They have the same gradients
Ms. Yost has 20 boxes of markers. Next year, she plans to buy 420% more boxes. How many boxes will she have in all?
Answer:
Ms. Yost will have exactly 104 boxes of markers.
Step-by-step explanation:
We are given an initial value (20 markers) and an increase of that amount (420%). We can convert the percentage to a decimal and then multiply this by the initial value of markers.
We divide the percentage by 100 in order to find the decimal form of it. If we wanted to find the percentage form of a decimal, we would multiply that value by 100 instead of dividing by 100.
[tex]\frac{420\%}{100}=4.20\\\\20 \times 4.20 = \bold{84 \ boxes \ of \ markers}[/tex]
Therefore, Ms. Yost will have 84 boxes of markers in total after increasing her original 20 boxes by 420%.
Finally, because she increased her total by 84 boxes, we need to add the initial amount as well.
[tex]20 + 84 = 104[/tex]
As a final result, Ms. Yost will have exactly 104 boxes of markers.
Answer: She will have 104 boxes in all.
Step-by-step explanation:
To find how many boxes she will have in all, first multiply 420% by 20 then add the obtained number to 20 which is the current boxes of markers that she has.
420% * 20
4.2 * 20 = 84
84 + 20 = 104
Help meee ASAP!!!! Pls
Answer:
2/5
Step-by-step explanation:
I found two point and counted the Y change and the X change. Rise over run.
Answer:
4/10 is the slope and the y intercept is 3
Step-by-step explanation:
Factorise
2х^2 — 3x— 14
Answer:
(x + 2)(2x - 7)
Step-by-step explanation:
Given
2x² - 3x - 14
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 14 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
2x² + 4x - 7x - 14 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 7(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 7)
Thus
2x² - 3x - 14 = (x + 2)(2x - 7) ← in factored form
P is a odd number
Explain why p^2+1 is always even
Answer/Step-by-step explanation:
Whenever a negative number is squared it is equal to the expression -a x -a = +a. In this expression any negative number multiplied an even amount of time with all numbers being negative will be a positive product.
Answer:
P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even
Using the table below, what is a (6(4))?
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
6*4=24
In the Diagram in the show your work area, what is the value of x?
Show Your Work someone help
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - 1 + 14x = 12x + 17[/tex]
[tex]14x - 1 = 12x + 17[/tex]
Add sides 1
[tex]14x - 1 + 1 =12x + 17 + 1[/tex]
[tex]14x = 12x + 18[/tex]
Subtract sides 12x
[tex] - 12x + 14x = - 12x + 12x + 18 \\ [/tex]
[tex]2x = 18[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]
[tex]x = 9[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
CHECK :
[tex]14(9) - 1 = 12(9) + 17[/tex]
[tex]126 - 1 = 108 + 17[/tex]
[tex]125 = 125[/tex]
Thus the solution is correct .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
True or false Every relation that is linear, must be a function?
Answer: False
Step-by-step explanation: Let's review the idea of graphs.
For a graph to be linear, it must be a straight line.
To determine whether a given graph is a function,
we use the vertical line test.
The vertical line test tells us that if a vertical line is drawn on a graph,
and hits the graph in more than one place, the graph is not a function.
In fact, this definition tells us the only type of linear graph
that will fail the vertical line test, and that's a vertical line.
Any vertical line that we draw will be both linear and not a function.
One possible graph could be x = 2.
Any vertical line will fit this description.
Are the statements about the graph of function f true or false?
Answer:
Step-by-step explanation:
1). For a point (0, -15),
Here x = 0, so the piece of function that applies,
f(x) = 4x - 15 (Since, x = 0 lies in the range -2 ≤ x < 4)
= 4(0) - 15
= -15
True.
2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2
= 4x - 15 for -2 ≤ x < 4
Which shows a gap between these graphs.
Therefore, graph has a discontinuity at x = -2
True.
3). For x > 4,
f(x) = [tex]3^{x-4}[/tex]
For every input value of x in the interval (4, ∞), output values of the function will be increasing.
So this option is TRUE.
4). In the interval (-12, -2),
Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]
Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).
In this graph value of function first increases then decreases.
So the answer is FALSE.
5). Since, input values of the function 'f' varies from (-∞, ∞)
Therefore, domain of the function will be (-∞, ∞)
TRUE.
Answer:
-True
-True
-True
-False
-False
Step-by-step explanation:
Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.
Make sure your questions are listed in the same order before submitting your answer.
A basket has 15 pieces of fruit. Of these, 5 are apples, 2 are oranges and the rest are
pears. If you close your eyes and take one piece of fruit, what is the probability it will
be an orange or a pear?
Answer:
60%
Step-by-step explanation:
the awnser is right
Answer:
pear
Step-by-step explanation:
cuz ratio is 8:5:2
your welcome
Andrew had a collection of 300 baseball cards at the beginning of the summer.
After the summer, Andrew had traded some of his baseball cards and now he has only 213 baseball cards.
What is the percent decrease of his baseball card collection?
Answer:
29%
Step-by-step explanation:
213/300 x 100 = 71%
100 - 71 = 29%
52% of what number is 45? (Round to the nearest whole number)
For f(x) = −3x − 13, find f(x) when x = –1.
Answer:
f(-1) = -10Step-by-step explanation:
Given
f(x) = −3x − 13,To find f(x) when x = –1 substitute x with its value in the equation:
f(-1) = (-3)(-1) - 13 = 3 - 13 = -10f(-1) = -10Alex ran 1600 m at a rate of 6.4 m/s.
For how many seconds did he run?
Answer:
250
Step-by-step explanation:
1600/6.4
Write an equation of the line that passes through the given points in any form.
Answer:
[tex]y=\frac{2}{3} x+1[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).
This gives us a slope of [tex]\frac{2}{3}[/tex].
The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
PLEASE HURRY !!!! WILL MARK BRAINLIEST !!!!
In the triangular prism shown below, which planes intersect? Select all that apply.
FGI and HIJ
EGH and HIJ
HIJ and EFG
EGH and EFG
Answer:
FGI and HIJ,EGH and HIJ, and EGH and EFG
Step-by-step explanation:
To answer this, you must find if the planes share a common side
just go down the list and you will see that all of them except HIJ and EFG share a common side so they intersect
If (x^2 – 4) ÷ (x + 2) = x -2, which polynomial should fill in the blank below?
(x + 2) × ____= x^2 - 4
O x² – 4
O x-2
O x +2
O x² – 2
Answer:
x - 2
Step-by-step explanation:
(x + 2)(x - 2) = x^2 - 4
Una embarcación tenía 120 tripulantes al naufragar parece el 30% los sobrevivientes el 25% son casados¿ Cuántos de los sobrevivientes son solteros?
Ayudenme rápido plis
Answer:
Solteros= 27
Step-by-step explanation:
Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.
Primero, debemos calcular la cantidad de sobrevivientes:
Sobrevivientes= 120*0.3= 36
Ahora la cantidad de casados, y por diferencia los solteros:
Casados= 36*0.25= 9
Solteros= 36 - 9
Solteros= 27
The measures of the angles of a triangle are shown in the figure below. Solve for X
Answer:
34Step-by-step explanation:
Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle
Answer:
34
Step-by-step explanation:
103+43=146
a triangle always adds up to 180 degrees
180-146=34
so that's the workings hope the answers right
One vertex of a triangle is located at (0,5) on a
coordinate grid. After a rotation, the vertex is
located at (5,0).
Which rotation could have taken place?
A rotation of 90° clockwise about the origin
B rotation of 180° clockwise about the origin
C rotation of 90° counterclockwise about the origin
D rotation of 180° counterclockwise about the origin
Ο Α
OB
Ос
OD
Answer:
A
Step-by-step explanation:
90 degrees clockwise
Luci cuts a board that is
5
7
yard long into pieces that are
5
14
yard long. How many pieces does she cut?
Answer:
I think the answer should be two and a half pieces
You can buy 1 bunch of grapes for $2. How many can you buy with $18?
Answer:
9
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
5 and 6 Your Answer is (5,8)
Hope It Helped :)
PPPPPPLLLLLLLLLLLLZZZZZZZZZZZZ
It's easy!!!
Answer:
The answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I had this question
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered
Answer:
Change the confidence interval.
Step-by-step explanation:
The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.
A 90 or 95 or 99 percent confidence interval will show a greater range of the data that lies within or without the given criteria.
95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies or does not lie within the specific range.
This gives better results as compared to 60- 80 % confidence intervals.
If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.
Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.
Their bills will never be the same because the toppings cost the same.
Question must probably wants to know the number of toppings it would take for their bills to be equal.
Assume the number of toppings is x, Dennis's bill will be:
= Cost of Pizza + Cost of toppings x number of toppings
= 16.50 + 2x
Sheng's bill will be:
= 13.25 + 2x
Equate their bills to find the number of toppings that would equate their costs:
16.50 + 2x = 13.25 + 2x
16.50 - 13.25 ≠ 2x - 2x
3.25 ≠ 0
In conclusion, their bill will never be the same because the toppings are the same price.
Find out more at https://brainly.com/question/5607279.
Solve for x. x + 47 = -23
x+47=-23
move +47 to the other side to get x by itself
sign changes from +47 to -47
x+47-47=-23-47
x=-23-47
x=-70
answer: x=-70
Answer:
-70
Step-by-step explanation:
x = -23 - 47
x = -70
-70 + 47 = -23
How do I solve this and check all the solutions?
Answer:
it is -6
Step-by-step explanation: