judy is twice as old as adaml, but 6 years ago she was 5 times as old as he was. How old is judy now

Answers

Answer 1

Answer:

  16

Step-by-step explanation:

Age problems can be solved by expressing the given relationships in math terms, then solving the resulting equation(s). Let J represent Judy's age now. Then Adami's age now is J/2. Six years ago, the relationship was ...

  (J -6) = 5(J/2 -6)

  J -6 = 2.5J -30

  24 = 1.5J

  16 = J

Judy is now 16 years old.

__

Additional comment

Adami is 8 now. 6 years ago, Judy was 10 and Adami was 2.

Here is an alternate approach. Let 'a' represent Adami's age 6 years ago. The relationship at present is ...

  2(a+6) = 5a +6

  6 = 3a . . . . . . . . . simplify, subtract 2a+6

  2 = a   ⇒   5a+6 = 16


Related Questions

Write an expression that illustrated how many cats sack has

Answers

Answer:

wait i don’t get it.

Step-by-step explanation:

Hayden invested $750 for three years at an interest rate of 0.035. How much interest did he earn in that time?



HELPPPPP

Answers

Answer:

$78.75

Step-by-step explanation:

Principle: $750

Interest rate: 3.5%

Time: 3 years

750 x 3 x 3.5 % = $78.75

A bag of tiles contains 6 green 4 yellow and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile?

Answers

3/5 or 60% probability of not choosing green

The movement of the progress bar may be uneven because questions can be worth more or less (including
Which equation is equivalent to 3 - 4x = 12?
0 - 4x = -9
O - 4x = 15
0 4x = -9
4x = 9
Help

Answers

The answer is
0 4x=-9

The required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12. which is the correct answer would be option (C).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

⇒ 3 - 4x = 12

Subtraction by 3 on both sides of the above equation,

⇒ 3 - 3 - 4x = 12 - 3

⇒ 0  - 4x = 9

⇒ - 4x = 9

Multiply by (-1) on both sides of the above equation,

⇒  4x = - 9

Therefore, the required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12.

Hence, the correct answer would be an option (C).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

The area of a rectangular field is 6916 m² if the length of the field is 91 m what is it width?

Answers

Answer:

76 m^2

Step-by-step explanation:

Area of a rectangle is width*height. So to find width we will do area/height.


The data in the table and graph shows the relationship between air and water temperatures at 3 PM at a waterpark. Which statements
are correct?
A)
The data represents a weak correlation
B)
The data represents a positive
C)The data represents am exponential relationship.
D)As air temperature increases,water temperature increases
E)The scatter plot shows the dependence of water temperature on air temperature

Answers

I think E is the right answer

Find all the unknown angle measures in the diagram. Justify your answer for each angle measure.

Answers

Answer:

∠1 is 90° because it is a right angle

To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;

x + 90 + 30 = 180

x + 120 = 180

-120        -120

x = 60, ∠2 = 60°

Angle 5 is vertical to angle 1 which equals 90 degrees, and vertical angles are congruent meaning that they measure the same degrees so therefore ∠5 = 90°

Angles 4 and 40° are vertical to angle 2 which measures 60 degrees;

40 + x(where x equals angle 4) = 60

-40       -40

x = 20, ∠4 = 20°

Specified earlier, angles 40° and 4 are equal to 60°, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.

So we set up the equation;

40 + 20(angle four) + x = 90

60 + x = 90

-60       -60

x = 30, ∠3 = 30°

If the FDIC has an insurance fund of $67. 8 billion and must use 7. 6% of it to cover several failed banks, approximately how much money is left in the fund? a. $5,153 million b. $57. 49 billion c. $72. 95 billion d. $62. 65 billion Please select the best answer from the choices provided A B C D.

Answers

The remaining money will be $62. 65 billion

What will be the remaining fund in FDIC?

Given amount =$67. 8 billion

Amount used to cover several failed banks = 7.6% of the total amount

So the amount used to cover several failed banks=  [tex]\dfrac{67.8\times 7.6}{100}[/tex]

[tex]Amount = 5.1528[/tex]

So the remaining amount = [tex]67.8-5.15=62.65[/tex]

Thus the remaining money will be $62. 65 billion

To know more about percentage follow

https://brainly.com/question/24304697

F(x)=4^-x after a translation 6 units up

Answers

Answer:

Step-by-step explanation:

Please explain how to do this, brainliest will be given! :)

Answers

You can calculate how much 9.8% of 19.8 ton is and then add that to 19.8 and add 5.1 more to know the weight of wheat in tons produced in 2015.
The total output of wheat in tons, in 2015 is 26.84 tons.
How to know the wheat amount produced in 2015?
In 2014, there was increase of 9.8% wheat production than last year(2013).
Thus,
Production in 2014 = Production in 2013 + 9.8% of production in 2013
9.8% of production in 2013 =
Production in 2014 = 19.8 + 1.94 = 21.74
Production in 2015 = Production in 2014 + 5.1 tons= 21.74 + 5.1 = 26.84 tons
Thus, the total output of wheat in tons, in 2015 is 26.84 tons.

the choices are doing a bit of rounding up btw, so hmmm let's use 19.8 as rounded up to 20 and the value of 9.8% as to be rounded up to 10%.

20(1) = 20, gives us our 100%

let's increase the rate of growth in the parentheses by 10%, put in decimal format that'll be 10/100 = 1/10 = 0.1, so if we increase the rate by 0.1, we'll have a rate of 1 + 0.1 = 1.1

20(1.1) = 22 = 20 + 2 = 100% + 10%

so now let's round up say 5.1% to simply 5%, which in decimal format will just be 5/100 = 0.05.

[tex]\stackrel{\textit{100\% plus 10\% extra}}{20(1.1)}\qquad \qquad \underset{2015~out put\textit{ of wheat}}{\stackrel{\textit{this amount~~~~~plus 5\% of that amount}}{20(1.1)~~~~~~~~~~(1.05)}}[/tex]

Find the equation of a circle whose center is at (2, 3) and radius is 6.

Answers

Step-by-step explanation:

2×3=6 I think it's like this

х 24, 36, 48
y -8, 1, 10
What is the y-intercept of the line?

Answers

the number -8 is the answer!!

The formula for the circumference of a circle is given as C 2TI, where I is
the radius of the circle. Use this formula to find the radius of a circle that has a
circumference of 34 inches.

Answers

R=c/2pie
R=34/2pie
17pie or 53.407075111 or 53.38

53.407075111 is with actual pie symbol on Calculator

53.38 by times 3.14 (so approximate answer)

Not sure what formal they where trying to get you to use

5x+2(2x+3)=51 Solve for x

Answers

Answer:

x=5

Step-by-step

5x+2(2x+3)=51

5x+4x+6=51

9x+6=51

9x=45

x=5

QUESTION
[tex]5 \frac{2}{6} \times 6 \frac{70}{30} \div {400}^{2} = ...[/tex]

PLEASE.....​

Answers

Answer:

[tex]\frac{1}{3600}[/tex]

Step-by-step explanation:

400^2 = 160,000

5 2/6 = 32/6 = 16/3

6 70/30 = 250/30 = 25/3

16/3 * 25/3 = 400/9

400/9 / 160,000 = 1/3600

The answer should be around 2.778 when the equation is inputted into a calculator.

To visualize in the form of improper fractions:

5 2/3 = 32/6
6 70/30 = 250/30
32/6 * 250/30 / (400)^2 = 2.778

the radius of a circle is 7cm. Find the circumference of the circle. Use 22/7 for pi

Answers

Answer:

Hi I'm learning the same thing and I just got it I think it's C=43.98cm

hey everyone can you help me sort out this problem, answer is 10°​

Answers

4a+20+3a-10+a=90
(Combine like terms)
8a+10=90
-10 -10
8a = 80
8a/8 = 80/8

A=10

Answer:

So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.

POT is the right angle which can be seen by the square

POQ is the first angle

QOS is the second

SOT is the third

Now solve it.

We know that it has to be equal to 90 since thats the final reasoning.

4a + 20 + 3a - 10 + a = 90

Solve.

So you’d get 10.

If you want to elaborate then just say all adjacent angles has to add put o 90 since

The prime number smaller than 18​

Answers

Question:

♦The prime number smaller than 18.

Answer:

♦2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Explanation:

#Let's Study

#I Hope It's Help

#Keep On Learning

#Carry On Learning

Moral law is also called Law of Nature because early philosophers thought that generally speaking, everybody knows it by nature. In this case, do human beings knew that there is such a moral law? Defend your answer

Answers

It is difficult to understand if human beings are truly aware that there is such a moral law, given that they don't share the same principles regarding rules of life.

Natural law

Natural law is supposed to be a universally valid, superior or better law that is considered natural, grounded in the natural order of things. This is the opposite of positive law, the law created by humans.

According to legal positivism, natural law is problematic, since even the so-called fundamental values ​​and norms are not collective, but can conflict and even oppose each other.

In philosophy, natural law is the designation of a way of thinking about man and society that has existed for more than two thousand years, which is based on the basic idea that human nature exists and that society is also based in a natural order.

Learn more about natural law in https://brainly.com/question/545663

Around the answer to the nearest dollar
=$

Answers

Answer:

23696

Step-by-step explanation:

[tex]Step1\1\\We\ know\ that:[/tex]

[tex]P=15000[/tex]
[tex]r=6.75[/tex]%
[tex]n=1[/tex]
[tex]t=7[/tex]

[tex]Step\ 2:\ Formulate\ and\ substitute:[/tex]

                                [tex]P=15000[/tex]
                                [tex]r=6.75[/tex]%

[tex]Substitute[/tex]                                  [tex]into\ formula[/tex]

                                [tex]n=1[/tex]
                                [tex]t=7[/tex]

[tex]F=P\ast(1+r/n)^{nt}[/tex]

[tex]F=15000\bullet(1+6.75\bullet\frac{1}{100})^7[/tex]

[tex]Step\ 3:Evaluate[/tex]

[tex]Evaluate\ the\ equation/expression:[/tex]

[tex]23695.53098[/tex]

[tex]Step\ 4:\ Find\ the\ value[/tex]

[tex]Find\ the\ closest\ integer\ to\ 23695.53098:[/tex]

[tex]23696\ YOUR\ ANSWER[/tex]

I hope this helps you

:)

CCSS Math 7
Unit 7. Agles, Triangles, ad Prisms
Find the measure of all the missing anges.


PLEASE HELP WITH ALL THE ANSWERS ITS DUE TOMORROW !!!

Answers

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

4. a=30 because 90-70

since a=30, take 90 - 30 to get b, 70

d= 70, vertically opposite angles

e = 130 because a+b+c, vertically opposite angles

An angle whose measure is 92° is in standard position. in which quadrant does the terminal side of the angle fall? quadrant i quadrant ii quadrant iii quadrant iv

Answers

In the quadrant (iv) terminal side of the angle fall. A quadrant is a region/section of a cartesian plane formed when the two axes intersect. It's used to figure out where a point is in a plane.

What is a quadrant?

A horizontal line reached the x-axis and a vertical line reached the y-axis split a plane into four areas in the cartesian system. Quadrants refer to these four areas.

A quadrant is a region of a cartesian plane formed when the two axes intersect. It's used to figure out where a point is in a plane.

The angle in the standard position is measured at 92 degrees. We shall work in an anticlockwise fashion while evaluating positive angles.

Angles measuring 0° to 90° will be found in quadrant iv. Angles between 90° and 180° fall within quadrant iv. Because 92° is halfway between 90° and 180°,

Hence in the quadrant (iv) terminal side of the angle fall.

To learn more about the quadrants refer to the link;

https://brainly.com/question/350459

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?Quadrant IQuadrant IIQuadrant IIIQuadrant IV

PLEASE HELP do not post links, may post files. may please give full explantion to answer thanks​

Answers

Answer:

Line C correctly shows the data

Step-by-step explanation:

There is one 9 7/8

There is one 10 1/2. *Note that 4/8 is equivalent to 1/2

There is one 10 5/8

There is one 10 3/4 *Note that 6/8 is equivalent to 3/4.

There is one 10 7/8

There are three 11 1/4 * Not that 2/8 is equivalent to 1/4.

There, Line C correctly shows the data

Hope this helps!

Find the missing angle measure for the triangles below.

Answers

Answer:

For triangle one: 37 degrees

For triangle two: 26 degrees.

Step-by-step explanation:

All the angles in the triangle should add up to 180 degrees. Add the two angles you have together to get a number, then subtract it from 180 to get the missing angle.

Equations:

Triangle 1:

82+55=137

180-137=43

Triangle 2:

120+34=154

180-154=26

Calling all math experts could i please have help on these it is URGENT please help theres brainliest and 100 pts please help!!

Answers

Answer:

Step-by-step explanation:

11. x = 8*sin60degree = 6.9

12. x = 6*tan30degree = 3.5

13. x = 25 / tan68degree = 10.1

14. x = 9/cos49degree = 13.7

18. LK = sqrt(16^2+24^2-2*16*24*cos29degree) = 12.7

19. m<H = 65.4

20. GF = 26.2

Answer:

18. LK = sqrt(16^2+24^2-2*16*24*cos29degree) = 12.7

19. m<H = 65.4

20. GF = 26.2

Step-by-step explanation:

PLEASE HELP PLEASE HELP PLEASE HELP IM BEGGING PLEASE HELP PLEASE HELP!!!

Answers

Answer:

a) 390

b) 239

c) 151

Step-by-step explanation:

a) 30 + 15 + 45 + 300 = 390

b) 160 + 30 + 9 + 40 = 239

c) 390 (income) - 249 (expenses) = 151 pounds (profit)

18)Write 4 expressions that are equivalent to 6(c
5) - 6?

Answers

Answer:

the answer is 6C+24 or if you divide 6 on both sides c+4

examples/expressions:

1. 4(1.5c+6)

2. 3(2c+8)

3. 2(3c+12)

4. 12(0.5c+2)

The area of a rectangle can be represented by the expression 10x^2+41x+21. Which of the following expressions could represent the length of the rectangle?

Group of answer choices


2x-7


2x+3


5x+7


5x+3

Answers

Answer:

5x+3

Step-by-step explanation:

(5x+7) is a factor of 10x^2+41x+21.

(5x+3)(2x+7) = 10x^2+41x+21.

What are the coordinates of the y-intercept of the line - 4x + 4y=8?

Answers

Answer:

(0,2)

Step-by-step explanation:

X-INTERCEPTS

Plug y=0 into the equation and solve the resulting equation −4x=8 for x (use the equation solver).

The x-intercept:

(−2,0)

Y-INTERCEPTS

Plug x=0 into the equation and solve the resulting equation 4y=8 for y (use the equation solver).

The y-intercept:

(0,2)

Walmart buys toilet paper at $15 per bundle. Walmart then sells the bundles at a price that includes a 40% markup. Walmart offers a discount of 1/10 off the price of each bundle if two or more bundles are purchased. What is the price to purchase 3 bundles of toilet paper?

Answers

Answer:

$18.90

Step-by-step explanation:

$15 with a 40% markup is $21

$21 with a 10% off is

$18.90

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