The week in which Evie would have more money than Weston is the 18th week.
Let this equation represent the amount of money Weston would have in x weeks be: $4000 - $30x
Let this equation represent the amount of money Evie would have in x weeks be: $2800 +$40x
The first step is to determine when they would have the same amount of money:
$4000 - $30x = $2800 +$40x
$4000 - $2800 = $40x + $30x
1200 = $70x
x = 1200 / 70 = 17.14 weeks
After 17 weeks, Evie would have more money than Weston.
Here is the complete question: Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her bank account and deposits $40 a week. When will Evie have more money than Weston (in
weeks)?
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Solve 2x^2 - x ≥ 15. Show your work
Answer:
x ∈ 〈-∞,-5/2]∪[3,+∞〉
Step-by-step explanation:
2x²-x-15 ≥ 0
2x²+5x-6x-15 ≥ 0
x(2x+5)-3(2x+5) ≥ 0
(2x+5)(x-3) ≥ 0
so
2x+5 ≥ 0
x-3 ≥ 0
2x+5 ≤ 0
x-3 ≤ 0
solve the equation
x ≥ -5/2
x ≥ 3
x ≤ -5/2
x ≤ 3
x ∈ [3,+∞〉
x ∈ 〈-∞,-5/2]
so x ∈ 〈-∞,-5/2]∪[3,+∞〉
What is 12xq+35x14/455
x=multiply
+= addition
/= divide
Answer:
ı wanna learn abot it
Step-by-step explanation:
ı think u should make -b/2a and b^2-4ac
PLEASE HELP QUESTION IN PICTURE 15 POINTS
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
how to solve improper fractions to mixed numbers with example?
Answer: If it was the other way around I would have helped you
Step-by-step explanation:
e.g.
Shane is following an English recipe for scones. The recipe calls for 1.2 kilograms of flour. How many pounds of flour, to the nearest tenth of a pound, does he need?
Answer:
Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin
There are 2.6 pounds of flour.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The recipe calls for 1.2 kilograms of flour.
Now,
Since, The recipe calls for 1.2 kilograms of flour.
We know that;
⇒ 1 kg = 2.2 pounds
So, 1.2 kg = 1.2 × 2.2 pounds
= 2.6 pounds
Thus, There are 2.6 pounds of flour.
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The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?
Answer:
is there a photo of a scatter plot?
Step-by-step explanation:
Solve. \sqrt{8x} -8-8=4
Answer:
x=50
Step-by-step explanation:
Let's solve your equation step-by-step.
√8x - 8 - 8 = 4
√8x - 16 = 4
Step 1: Add 16 to both sides.
√8x - 16 + 16 = 4 + 16
√8x = 20
Step 2: Solve Square Root.
√8x = 20
8x = 20^2 ( Square both sides )
8x = 400
8x/8 = 400/8 (Divide both sides by 8)
x = 50
HOPES THIS HELP :)
if f(x)=4(3x-5), find f^-1(x)
Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3
3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.
Answer:
False
Step-by-step explanation:
Hope this helped
Given: AB IS CONGRUENT TO CD
PROVE: CD CONGRUENT TO AB
Answer:
Because of the definition of congruent
Step-by-step explanation:
This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)
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help me with this pls
Answer:
Johnathan started out with 17 videogames
25-8=17
How many planes appear in the figure?
Answer:
5
Step-by-step explanation:
Which graph represents the solution set of the system of inequalities?
{y<2x+2x+y≥−3
Answer: the first graph (A)
Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade
Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.
Can someone help me on this question? The question is down below...
Answer:12m
Step-by-step explanation:
Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2
15^2 = 9^2 + x^2
225-81 = x^2
144 = x^2
x = 12m
Plz help with this question
Answer:
a) 72cm²
b) 9 cm²
c) 9 cm²
d) 54 cm²
Step-by-step explanation:
a) The area A of a rectangle is given by the formula, A=lw
12 * 6 = 72cm²
b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.
(12 - 3) * 6 = 54 cm²
If a dozen exercise books cost $144, what will 14 of the same books cost? *
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
y varies directly as x . when x=3 , then y=12 . find y when x=20.
Answer:
Congress. would equal 80 due to x being worth 1/4 of y's total.
7. One serving of Ms. Scott's tomato soup is 0.75 cup. How many servings are in the 72-cup pot? 104.2. servings 10.42 servings 96 servings O 9.6 servings
Answer:
96 Servings
Step-by-step explanation:
Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings
Answer:
96 servings
Step-by-step explanation:
Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.
[tex]\frac{72}{0.75} = 96[/tex]
what inequality does the number line graph represent
Answer: what number line
Step-by-step explanation:
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.
Answer:
A
Step-by-step explanation:
Answer please................................
Answer:
1 and 4
Step-by-step explanation:
if 10 apples cost $1 how much would it cost per Apple
Answer:
10 cents per apple
Step-by-step explanation:
1 divided by 10 which is 1. And move the decimal one place to the left, leaving you with .1 or 0.1 or 0.10
6c = 2p – 10. write the equation in function notation, where c is the independent variable.
Answer:
p(c) = 3c +5
Step-by-step explanation:
Effectively, you want to solve for p.
6c = 2p -10
6c +10 = 2p
3c +5 = p
p(c) = 3c +5 . . . . function notation (p is a function of c)
A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers
Answer:
55.38 min
Step-by-step explanation:
A car travels,
182 km ⇒ 4 hours
And we have to find the time that it takes to travel 42 km .
Lets make a equation.
Let the unknown time be x
182 km ⇒ 4 hours
42 km ⇒ x
To make easy let's km in to meters and hours in to minutes
182000 m ⇒ 240 min
42000m ⇒ x
Now use cross multiplication.
[tex]182000x=240*42000\\[/tex]
[tex]182000x=10080000[/tex]
[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]
[tex]x =55.38min[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Find the slope of the line whose equation is 2x + y = 5.
Answer:
Slope is -2x
Step-by-step explanation:
2x + y =5
2x-2x +y= 5 -2x
y= 5 -2x
so y= -2x+5
and the slope is -2x so the answer is -2x
This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V
Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14
Using Pythagoras' identity in the right triangle
x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )
x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]
x + 2y = 7
x - y = 1
Solve for x and y?
Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
METHOD OF ELIMINATION:
Given pair of linear equations are:
x+2y= 7 – – – Eqn(i)
On comparing with a1x+b1y+c1 = 0
a1 = 1, b1 = 2, c1 = -7x-y = 1 – – – Eqn(ii)
On comparing with a2x+b2y+c2 = 0
a2 = 1, b2 = -1 , c2 = -1a1/a2 = 1/1 = 1
b1/b2 = 2/-1 = -2
c1/c2 = -7/-1 = 7
We have,
a1/a2 ≠ b1/b2 ≠ c1/c2
So, Given pair of linear equations in two variables have a unique solution.
Now,
On Subtracting eqn(ii) from eqn(i) then
x+2y = 7
x-y = 1
(-)
_______
0 +3y = 6
_______
⇛ 3y = 6
⇛ y = 6/3
⇛ y = 2
On Substituting the value of y in (1) then
⇛ x-2 = 1
⇛ x = 1+2
⇛x = 3
Answer: Therefore , the value of x and y with be (3,2) respectively.
Additional comment:
If a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are pair of linear equations in two variables thenIf a₁/a₂ ≠b₁/b₂ ≠ c₁/c₂ then they are Consistent and independent lines or Intersecting lines and they have a unique solution.If a₁/a₂ = b₁/b₂ = c₁/c₂ then they are Consistent and dependent lines or Coincident lines and they have infinitely number of many solutions.If a₁/a₂ =b₁/b₂ ≠ c₁/c₂ then they are Inconsistent lines or Parallel lines lines and they have no solution.A 15 foot slide casts a shadow that is 25 feet long. A tree is standing next to the slide and casts a shadow that is 40 feet long. How tall is the tree?
Answer:
30 feet
Step-by-step explanation:
The height of the tree is 24 feet casting a shadow of 40 feet long.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Assuming the height of the tree to be x feet.
15 : 25 : : x : 40.
15/25 = x/40.
25x = 600.
x = 24
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