Barika, Akeelah, and James raised $76.23 for their dance team. James raised twice as much as Barika, who earned 2.60 less than Akeelah. If x = the amount raised by Akeelah, choose the expressions that represent the amount each other player raised. x – 2.60 2x + 5.20 .5x + 2.60 2x – 5.20

Answers

Answer 1

The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.

If we analyze it via steps,

We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.

Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as

2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)

If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.

So, By the Problem,

x + (x-2.60) + (2x-5.20) = 76.23

=> 4x - 7.80 = 76.23

=> 4x = 68.43

=> x = 68.43/4

=> x = 17.11

Therefore, Akeelah raised x = $17.11

Barika raised x-2.60 = $14.51

James raised 2x -5.20 = $29.02

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Related Questions

Which of the following systems of equations is an example of one where substitution is the best method?

Answers

Answer:

option c is the correct ans .

because we can easily substitute the value of y in equn 2 to get value of x..

Answer:

To me, the third one is the best.

Note:  y has  been made subject of formula which makes it easy to substitute it into equation 2 and find x .

Step-by-step explanation:

Pleaseee help meeeeeee!

Answers

Answer:

Irrational

Step-by-step explanation:

Irrational numbers have decimal expansions that neither terminate not repeatable

π = 3.1428.........

-4π =-12.5714..........

Answer:

D. Irrational

Step-by-step explanation:

First, let's calculate what -4π is.

-4π= -4*π= -12.5663706143....

Now, let's analyze the answer choices.

Whole numbers are the numbers 1,2,3,4,5...

Integers are like whole numbers, but negatives are also included.

Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.

Irrational numbers cannot be written as fractions, do not repeat and do not terminate.

-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.

Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?



No, because for the 12 months in the year not all of the dates are represented.
Yes, because it is possible to get 100 random values in a simulation.

Yes, because all possible dates of the month would be represented.

No, because for the 12 months in the year each date is not equally likely.

Answers

Answer:

D) "No, because for the 12 months in the year each date is not equally likely."

Step-by-step explanation:

For example, february does not have 31 days as well as april so it would not be a fair representation.

what is 8 1/2 rounded to the nearest half? (HELP I NEED ANSWER NOW)

Answers

Answer:

8 1/2

Step-by-step explanation:

It is already rounded to the nearest half.

it would be 8 1/2 since it’s already a half but if not it’s 9

When plotting on a scatter plot, is the time x or y?

Answers

It is usually “y” but roughly it is your decision what you want it to be. You just have to label it accordingly.

what ordered pairs are the solutions of the system of equations shown in the graph below

Answers

Answer:

Step-by-step explanation:

One solution would be (1, -4), and the other would be (4, -7).

The ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

What is ordered pair?

The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.

In a order pair the first term indicates the x-coordinate, while the second term indicate the y-coordinates. The ordered pair are written in close bracket in the following way.

[tex](x,y)[/tex]

System of equation-

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.For the two equations plotted on a graph, the solution of the system is the point where one line intersect with others.

In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).

Thus, the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

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Over what interval is the function in this graph decreasing?
A. -10 sxs-4
O B. 2 sxs6
O C. 6 sxs 10
O D. -4sxs 2

Answers

Answer:

The answer is D.

Step-by-step explanation:

the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?

Answers

Answer:

0.009 mm

Step-by-step explanation:

Find the difference between the two values.

0.03 - 0.021

0.009 mm more gold coating must be added to finish the ring.

I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!! ​

Answers

Answer:

Answer A is the first step

Step-by-step explanation:

Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.

Explain why no part of the graph[Image Displayed] appears below the x-axis?
[Graph Displayed]

a.
The y-value is always negative
c.
The y-value is always zero
b.
The y-value is always positive
d.
The y-value is always 10

Answers

Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!

Step-by-step explanation:

If f(x) =1/4x+14, then f^-1(x)=

Answers

Answer: f⁻¹(x)=4x-56

Step-by-step explanation:

f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.

[tex]x=\frac{1}{4}y+14[/tex]                 [subtract 14 on both sides]

[tex]x-14=\frac{1}{4}y[/tex]                 [multiply both sides by 4]

[tex]4(x-14)=y[/tex]               [distribute 4]

[tex]4x-56=y[/tex]

[tex]f^-^1(x)=4x-56[/tex]

First person that gave me the correct answer will get brainliest

Which set of ratios could be used to determine if one triangle is a dilation of the other?

A. 3.6/3 = 5.4/4.5 = 6/5
B. 3.6/3 = 4.5/5.4 = 6/5
C. 3/3.6 = 4.5/6 = 5/5.4
D. 3/4.5 = 3.6/5.4 = 5/6

Answers

Answer:

Answer A

Step-by-step explanation:

Answer A is correct.  Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.

I need help with this problem, if anyone could help ASAP, that would be much appreciated. Please do not answer if you don't know the answer because you're wasting my points. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find arc mRP, and arc MQS,

Answers

Answers:

minor arc RP = 125 degrees

minor arc QS = 125 degrees

============================================================

Explanation

Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.

Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.

Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.

Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.

Answer:

Arc RP is 125, Arc QS is 125, Arc QR is 55, and arc SP is 55

Step-by-step explanation:

We know Arc QS is 125 degrees because angle QOS is a vertical angle with Angle ROS, so Arc QS is 125, and ARC RP is 125. We can figure out the other two arcs using the knowledge that ARC QR is equal to arc PS because angle QOR an SOP are vertical angles and all the degrees have to add up to 360. From this we get 2x + 125 + 125 = 360. From here we simplify and get 2x + 250 = 360; 2x = 110; x = 55, so arc QR and ARC SP are both 55.

Hope this helps :)

How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?

Answers

Answer: 125

Step-by-step explanation:

For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.

The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:

Therefore, no of possible numbers are: 5x5x5x1=125 numbers

Convert the following equation
into slope intercept form.
8x +
2y = 0

Answers

8x + 2y = 0
Minus 8x on both sides
2y= -8x
Divided by 2 on both sides
Y= -4x
Final answer: y= -4x

Hope this helps!

Slope intercept form of the equation 8x+2y=0 is y= -4x

What is Slope intercept form?

Slope intercept form gives the graph of a straight line and is represented in the form of y=mx + c

Given,

8x+2y=0

2y =-8x

y=-4x

Hence, the Slope intercept form of the equation 8x+2y=0 is y= -4x

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Can someone please help me with this question

Answers

Answer:

x° = 62

Step-by-step explanation:

The vertical angle to 28 degrees is 28 degrees in size.

The vertical angle to 90 degrees is 90 degrees in size.

Angles in a circle add up to 360 degrees.

x + 28 + 152 + 28 + 90 = 360

x + 298 = 360

x = 360 - 298

x = 62

Angle x is 62 degrees in size.

Angle x is 62° in size

PLZ HELP, NEED ASAP Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.

Answers

Answer:

Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

Krista's equation

0.40x+y=45

x+0.55y=18.75

The system of Equation should have been

x + y = 45 (1)

0.40x + 0.55y = 18.75 (2)

From (1)

x=45-y

Substitute x=45-y into (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

Substitute y=5 into (1)

x + y = 45

x+5=45

x=45-5

x=40

This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.

Krista's error:

Krista put 0.40 in the first equation meant for the number of stamps.

Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

              Edge 2020.

What is the probability of selecting a male from a group of 4
males and 8 females?
1
A 1/3
B 1/2
С 2/3
D 4/5

Answers

Answer:

[tex]P(Male) = \frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]Male = 4[/tex]

[tex]Female = 8[/tex]

Required

Probability of selecting a male

First, we need to get the total population;

[tex]Total = Male + Female[/tex]

[tex]Total = 4 + 8[/tex]

[tex]Total = 12[/tex]

Let P(Male) represent Probability of Male

Let n(Male) represent number of Male

[tex]P(Male) = \frac{n(Male)}{Total}[/tex]

[tex]P(Male) = \frac{4}{12}[/tex]

Simplify fraction by dividing the numerator and denominator by 4

[tex]P(Male) = \frac{1}{3}[/tex]

Hence, the probability of selecting a male is 1/3

If 3 ice cream cones multiplied is equal to 27, 2 ice cream cones with one scoop of vanilla are equal to 10, 1 ice cream with 2 scoops of vanilla and 1 ice cream with one scoop of strawberry is equal to 11, 1 ice cream with one scoop of vanilla and 1 cone and 1 ice cream with 2 scoops of strawberry and one scoop of vanilla is equal to 15, then what is the value of.... 1 cone 1 vanilla scoop 1 strawberry scoop *Please Try To Give The Solution ASAP*

Answers

Answer:

each cone=3

each scoop of vanilla=2

each scoop of strawberry=1

so:

1 cone 1 vanilla scoop 1 strawberry scoop=6

when f(x)=-3 what is x​

Answers

Step-by-step explanation:

i think the answer is -3 only

Answer: The answer is -3 but I feel like the question is so wrong

solve the math problem please

Answers

Answer:

Option D

Step-by-step explanation:

Collect all like terms and Calculate

-10x-7x= -17x

20-54= -34

Divide

-17x < -34

x>2

Answer:

B 2 ≤x

Step-by-step explanation:

54 - 10x ≤20 +7x

Add 10x to each side

54 - 10x+ 10x ≤20 +7x+10x

54 ≤20 + 17x

Subtract 20 from each side

54-20 ≤20+17x-20

34 ≤17x

Divide by 17

34/17 ≤17x/17

2 ≤x

Identify the initial value and rate of change for the graph shown?

Answers

Answer:

The third option, or initial value:2, rate of change:1.

Step-by-step explanation:

The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.

Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.

let me know if your need further explanation!

Find the equation of the line

Answers

Answer:

y= 2x +12

Step-by-step explanation:

Given:

line y= 2x -7the point (-3. 6)

The line parallel to the given has the same slope of 2, let's find the intercept using the given point:

y= 2x+b6= 2*(-3)+bb= 6+6= 12

So the equation is:

y= 2x +12
y=2x+12

m=2
6=2(-3)+b
b=12
y=2x+12

Find mZYCD
Y
21x-7
с
100° 5x+5
E
D
A) 1199
B) 140°
C) 1230
D) 40°

Answers

Answer:

B)140

Step-by-step explanation:

So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations

1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation

2. Now: 100 + (5x+5) + (180- (21x-7))= 180

3. Solve:

105+5x+180-21x+7=180

112-16x=0

112=16x

x=7

4. Plug x=7 into 21x-7= 140

The formula for the volume of a cylinder is V =

Answers

Answer:

A

Step-by-step explanation:

Let me know If you want me to explain it.

Answer:

A. h = V/(pi * r^2)

Step-by-step explanation:

V = pi r^2 h

Divide both sides by pi r^2.

V/(pi r^2) = h

The h variable is isolated now.

CANT seem to find the answer

Answers

Answer:

A) Point C

B) Point E

Step-by-step explanation:

There are 3 vowels in the word square, and there are six total letters in the word square.

Square

There is a half chance of picking a letter that is a vowel in the word "square". (Three is half of six.)  

Point C would be the most accurate spot for question 'a'.

The word square does not have a 'T'. It is certain that a letter that is not 'T' would be picked.

Point E would be the most accurate spot for question 'b'.

Answer:

a)  c  b) e

Step-by-step explanation:

There are 3 vowels out of 6 total cards, and c lands at 3/6->1/2.

There is no letter T, so it is a 1/1 chance of not getting a T. E lands at 1.

You're welcome.

The table represents a linear function. Two Columns Five Rows Column X (-2,-1,0,1,2) and Column Y (8,2,-4,-10,-16) What is the slope of the function? a. -6 b. -4 c. 4 d. 6

Answers

Answer: A

Slope = -6

Step-by-step explanation:

Given that the column of the table are:

Column X (-2,-1,0,1,2) and

Column Y (8,2,-4,-10,-16) 

Since the table represent a linear function, the equation of the function will obey the general linear equation

Y = MX + C

Where M = slope

M = ( Y2 - Y1 ) / ( X2 - X1 )

Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1

Substitutes all the parameters into the formula

M = ( 2 - 8 )/( -1 - - 2 )

M = ( 2 - 8 ) / ( -1 + 2 )

M = -6/1

M = -6

Therefore, the slope of the function is -6

11 You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn S108 in simple interest?

Answers

Answer:

its wht u r searching for...

Answer:

3 years

Solution,

Principal=$1200

Rate=3%=3/100=0.03

Interest=$108

Time=?

Now,

[tex]t = \frac{i}{p \times r} [/tex]

[tex] = \frac{108}{1200 \times 0.03} \\ = \frac{108}{36} \\ = 3 \: years[/tex]

Hope this helps...

Good luck on your assignment..

A triangle is rotated 90° about the origin. Which rule describes the transformation?
O (x, y) (-x,-y)
O (x,y) (-y, x)
O (x,y) (-y,-x)
O (x,y) → (y, -x)

Answers

Answer:

second option

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.

What is transformation?

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin.  The rotation can be done either clock-wisely or counterclockwise about the origin.

If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)

If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)

In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.

Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.

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What is the distance, in units, from J=(8,−9) to the x-axis?

Enter your answer as a number, like this: 42

Answers

Answer:

9

Step-by-step explanation:

The distance from the x axis is from the point (8,0)

d = sqrt( (8-8)^2 + (-9-0)^2)

   = sqrt(0+ 81)

   = sqrt( 81)

    =9

Answer:

8

Step-by-step explanation:

8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis

Hope this helps

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