By solving a system of equations we can conclude that ross has a total of $200 in $5-notes.
What is the total value of all the $5-notes that Ross has?
Let's define the variables:
x = number of $5-notes that Ross has.y = number of $2-notes that Ross has.We know that there are 15 more $2-notes than $5-notes, then:
y = x + 15
And the total amount of $5-notes is $90 more than the total amount of $2-notes.
x*5 = 90 + y*2
Then we have a system of equations:
y = x + 15
x*5 = 90 + y*2
Replacing the first equation into the second one we get:
x*5 = 90 + (x + 15)*2
Now we can solve this for x:
x*5 = 90 + x*2 + 30
5*x - x*2 = 90 + 30
3*x = 120
x = 120/3 = 40
x = 40
In this way, we conclude that Ross has 40 of the $5-notes, then the total value is:
40*$5 = $200
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can someone help me with this?
thank you so much! :)
Step-by-step explanation:
it seems there is some trick question involved.
we find such answers by putting a horizontal line through the y points and see, where the horizontal line is intersecting the function graph and go straight down to the x-axis to see the value of x for that y value.
the horizontal line through y = -1.5 does not intersect at all.
so, in one hand the answer is "no solution".
but on the other hand, we could assume that the function graph continues further to the right (and down).
and then the intersection point would be
(7.5, -1.5),
and the corresponding x = 7.5.
for y = 0 the horizontal line is the x-axis itself. so, for what values of x does the x-axis intersect the function curve ?
at x = -3, and at x = 6.
for y = 2 the corresponding horizontal line is intersecting the function curve at
x = -2.125 (it looks like it is at the half of the half of the half unit as the grid unit left of -2, so it is -2 - 1/2³ = -2 1/8 = -2.125)
x = 0.5
x = 4 (it just touches the tip of the curve there)
for y = 2.5 there is truly no solution. that horizontal line does not intersect the function curve at any point.
Help me! Find the measure of the largest angle.
In order to accumulate enough money for a down payment on a car, Karl deposits $100 per month into an account paying 1.75% compounded monthly. If payments are made at the end of each period, how much In order to accumulate enough money for a down payment on a car, Karl deposits $100 per month into an account paying 1.75% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 18 months? How much interest will Karl have earned? Total amount: Interest earned:
1. If payments are made at the end of each period, the amount of money that will be in the account in 18 months (future value) is $2,094.46.
2. The total interest that Karl earned will be $294.46.
3. Total amount: $2,094.46
Interest earned = $294.46
What is the future value?The future value is the future cash deposits compounded at an interest rate for a period.
The future value can be computed using the future value table or future value formula. It can also be computed using an online finance calculator.
N (# of periods) = 18 months
I/Y (Interest per year) = 21% (or 1.75% monthly)
PV (Present Value) = $0
PMT (Periodic Payment) = $100
Results:
Future Value (FV) = $2,094.46
Sum of all periodic payments = $1,800 ($100 x 18)
Total Interest = $294.46
Thus, the total future amount in the account will be $2,094.46 with an interest of $294.46.
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PLEASE HELP ASAP 100POINTS AND BRAINLIEST
Identify two segments that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)
R
is congruent to
Answer:
I believe R is congruent to U
Step-by-step explanation:
I don't exactly remember much about these types of problems but I hope it helps! =D
Answer:
∠VS is congruent to ∠UR
Step-by-step explanation:
congruent means same size or shape and the markings are the little lines
the little curves over the angles are congruent as well
A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five-sixths of my cats plus three ."
How many cats does the nemesis have?
The number of cats the nemesis have is 4
What is a fraction?A fraction is defined as the part of a whole.
Types of fractions;
Mixed fractionsSimple fractionsProper fractionsImproper fractionsFrom the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three
This is expressed as;
Number of cats = 1 - 5/ 6 + 3
Number of cats = 1/ 6 + 3
Number of cats = 6 + 18 /6
Number of cats = 24/6 = 4
Thus, the number of cats the nemesis have is 4
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What is 63,418 rounded to the nearest thousand
Answer:
the nearest thousand is 63000
Using the associative property, rewrite the following expression. You do NOT need to simplify it. -3y - 6y + 10y
Another form of the given expression using associative property is 10y + (-3y -6y)
Associative propertyAssociative property shows that if two or more property are added or multiplied, the result remains the same. For instance;
a +(b + c) = (a+b) + c
Given the expression below;
-3y - 6y + 10y
Group to have
(-3y - 6y) + 10y
10y - 3y - 6y
This can also be grouped as;
(10y - 3y) - 6y = 10y + (-3y -6y)
Hence another form of the given expression using associative property is 10y + (-3y -6y)
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amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project how much sand does she use for the project
The left over sand is a 3/10 bag of the colored sand.
According to the statement
We have to find that the how much sand does she use for the project.
So, For this purpose, we know that the
Left over is a something that remains unused or unconsumed
From the given information:
amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project
then it means
Total sand is = 4/5 pound bag of colored sand
Used sand is = 1/2 of the bag of colored sand
Then
Left over sand is = Total sand - Used sand
Left over sand is = 4/5 - 1/2
Left over sand is = 8 - 5/10
Left over sand is = 3/10.
So, The left over sand is a 3/10 bag of the colored sand.
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The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters
Answer:
12
Step-by-step explanation:
Answer: 13 cm x 9cm is the correct answer:)
find the distance between the two points in simplest radical form.
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
Point B is between points A and C. AC-10x+6, AB=5x, and BC-4x+12, Find AB.
The value of AB that is 5x is equal to 30.
It is given that the points A, B and C are collinear. Collinear points may be defined as three or more points which lie on a straight line.
Here B lies between A and C and the three points A, B and C are collinear. Thus, according to property of collinear points:
AB+BC=AC
Now, according to question AB=5x, BC= 4x+12 and AC= 10x+6.
So, 5x+4x+12=10x+6
Taking the like terms on one side;
12-6 = 10x+9x
=> x=6
Now, AB=5x, thus AB= 5×5=30
Therefore, the value of AB is 30.
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Complete question:
Three points A, B and C are collinear. Point B is between points A and C. AC=10x+6, AB=5x, and BC=4x+12, Find AB.
A perpendicular bisector of DC is AB and a perpendicular bisector of AB is DC. the intersection of AB and DC is at E. Which equation is true?
EB =CD
AE= DE
DE = CE
CD= CE
AB=CD
Answer: DE = CE
Step-by-step explanation: AB is a continuous line so the distance from A to E could be different than the distance from D to E.
DE = CE is true.
A perpendicular bisector is a line that divides another line into two equal parts and is also perpendicular to it.
Here, we are given that AB is the perpendicular bisector of DC and DC is a perpendicular bisector of AB.
This means that AB and DC are the perpendicular bisectors of each other at the point of intersection, that is, E.
Now, since AB bisects DC at point E
⇒ DE = CE
and similarly, DC bisects AB
⇒ AE = BE
Apart from these two equalities, we cannot infer anything else from the given information.
Thus, out of the given options, we can see that only option 3, that is, DE = CE is true.
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Kevin drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hoursWhen Kevin drove home, there was no traffic and the trip only took 4 hours. his average rate was 40 per hour faster on the trip home, how far away does Kevin live from the mountains? Do not do any rounding
Answer:
288 miles
Step-by-step explanation:
Kevin's trip took 9 hours one way, and 4 hours the other way, driving 40 mph faster. You want to know the one-way length of Kevin's trip to the mountains.
SetupThe relation between time, speed, and distance is ...
speed = distance/time
Using d to represent the one-way distance Kevin drove, we can relate his speeds with ...
d/4 = 40 +d/9 . . . . . . speed coming home was 40 mph more than going
SolutionMultiplying by 36 to clear fractions, we have ...
9d = 1440 +4d
5d = 1440 . . . . . . . subtract 4d
d = 288 . . . . . . . divide by 5
Kevin lived 288 miles from the mountains.
Tina spent $182 on 13 pamphlet sets for her beauty shop. How much does each pamphlet set cost?
Answer:
14 dollars
Step-by-step explanation:
182 divided by 13 is 14 dollars
may starclan light ur path
The difference between two numbers is 2811.
The bigger number is 4200.
What is the smaller number?
The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.
Given the difference between two numbers is 2811.
The bigger number is 4200.
The smaller number is = ?
let the smaller number be 'x'
as the statement says difference between two numbers = 2811
Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.
⇒ bigger number ₋ smaller number = 2811
⇒ 4200 ₋ x = 2811
⇒ ₋ x = 2811 ₋ 4200
⇒ ₋ x = ₋ 1389
cancel the negative sign from both sides.
x = 1389
hence we get the smaller number as 1389.
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what is? 9x-x-2=3(2x-3)+ax
state the maximum number of points at which the pair of graphs might intersect.
a line and a circle
The maximum number of point of intersection of a line and circle is two
Circle:
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:
[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.
Line:
A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
Line and Circle can intersect at two points maximum
Therefore,The maximum number of point of intersection of a line and circle is two
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help please it's urgent
Answer:
15. x<-2 or x>1
16. -5<=x<=-1
17. -0.5<=x<0.25
18. x<=-1.2 or x>=-0.4
Step-by-step explanation:
f(x) = 3x - 4
Find f(-1)
PLS ANSWER. The questions is attached. Dont' put like I dont' know the answer if u don't know don't answer pls.
Answer:
x = 2.4
Step-by-step explanation:
see image for explanation.
Hope it helps
GUY!!! PLEASE HELP it’s due in abit and I just need this final question! I’ll mark you brainliest
(geometry)
what is the perimeter of the rectangle ABCD?
Answer:
37.9 units (nearest tenth)
Step-by-step explanation:
As ABCD is a rectangle, AD = BC and AB = DC.
Find the length of AD and AB using the distance formula.
[tex]\boxed{\begin{minipage}{7.5 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}}[/tex]
From inspection of the given diagram:
A = (-5, -9)B = (7, -5)D = (-7, -3)Therefore:
[tex]\begin{aligned}AD & =\sqrt{(x_D-x_A)^2+(y_D-y_A)^2}\\& =\sqrt{(-7-(-5))^2+(-3-(-9))^2}\\& =\sqrt{(-2)^2+(6)^2}\\& =\sqrt{4+36}\\& =\sqrt{40}\end{aligned}[/tex]
[tex]\begin{aligned}AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(7-(-5))^2+(-5-(-9))^2}\\& =\sqrt{(12)^2+(4)^2}\\& =\sqrt{144+16}\\& =\sqrt{160}\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Perimeter of a rectangle} & = \sf 2(length + width)\\& = 2(AB+AD)\\& = 2(\sqrt{160}+\sqrt{40})\\& = 2(18.97366596...)\\& = 37.94733192...\\& = 37.9\: \sf units\:(nearest\:tenth)\end{aligned}[/tex]
Therefore, the perimeter of the rectangle ABCD is 37.9 units (nearest tenth).
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Find the area of the figure. (Sides meet at right angles.)
Answer:
70in²Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
1 rettangle on a square
Area Rectangle
(2+2+5)*5=
9*5=
45in²
Area of the Square
5*5=
25in²
sum
45+25=
70in²
KNKWMWMQKWMQMQKQMMQ HELP ASSAPPP PLEASEEEE
S is between R and T. RS = 5x-6, RT =3x+2
and ST = 2x. Sketch the scenario, then
find X, RS and RT.
X=
RS=
RT=
Answer:
Step-by-step explanation: bnnnnnnnnnnnnnnm
Parallelogram HIJK with vertices H(-1,3),I(-1,-1),J(2,-2),and K(2,2) over the y-axis.
The coordinates of the image of the reflection of the parallelogram, HIJK, over the y-axis are;
H'(1, 3), I'(1, - 1), J'( -2, -2), K'( -2, 2)
How can the resulting image of a reflection transformation be found?The reflection of a pre-image, (x, y), over the y-axis gives an image at the point (-x, y), on the coordinate plane.
The given vertices of the parallelogram HIJK are;
H(-1, 3), I(-1, -1), J(2, -2), and K(2, 2)
The coordinates of the image are therefore;
[tex]H(-1, 3) \: \underrightarrow{ R_{ y-axis}} \: H ' (1, 3)[/tex]
[tex] I (-1, - 1) \: \underrightarrow{ R_{ y-axis}} \: I ' (1, - 1)[/tex]
[tex] J (2, -2) \: \underrightarrow{ R_{ y-axis}} \: J'( -2, -2)[/tex]
[tex] K (2, 2) \: \underrightarrow{ R_{ y-axis}} \: K'( -2, 2)[/tex]
The coordinates of the image, H'I'J'K' are therefore;
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PLEASE HELP!!!
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180° In a triangle, the measures of the three angles are x, x + 7, and x - 13. What is the measure of each angle?
Answer:
The sides are 62, 69, and 49
Step-by-step explanation:
x + (x + 7) + (x - 13) = 180
3x - 6 = 180
3x = 186
x = 62
eight plus the quotient of a number and 3 is 75
8 + x / 3 = 75
Minus 8 on both sides
x / 3 = 67
Multiply by 3 on both sides.
x = 201
Find the midpoint of the segment with endpoints (9,3) and (6,-7)
Answer:
(7.5, -2)
Step-by-step explanation:
Label the coordinates(x₁,y₁) and (x₂,y₂)
Input the values into the formula (x₁ + x₂)/2, (y₁ + y₂)/2
Add the values in the parentheses and divide each result by 2
Please help need to turn in by tomorrow I really need help I don’t even get how to do it could someone explained
Step-by-step explanation:
Technically what you have to do is find what changed in the table charts
find the difference between the output values
find the difference between the input values
then calculate the ratio between the change in the Y and X values
A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running away at a speed of 40 feet per second. What should the fox's speed be to catch up to the rabbit.
The speed of the fox should be 35/t + 40 to catch up to the rabbit.
What is speed?Speed is the ratio of distance and time.
Speed = Distance / Time
We have,
The distance between the rabbit and fox = 35 feets
The rabbit's speed = 40 feet per second
Let fox's speed = F
Let the time taken to catch up to the rabbit = t
Now,
Rabbit's distance from fox after time t will be:
= 35 + (40 × t)
= 35 + 40t
Fox's distance after time t:
= F × t
Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.
35+40t = Ft
Dividing both sides by t.
35/t + 40 = F
Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.
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