Anna&katie together have $60.Anna has $9 more than twice Katie's amount how much money does each have? Write a system and use substitution to solve

Answers

Answer 1

Answer:

Ana had $17 and Katie had $43.

Step-by-step explanation:

Since Ana and Katie together have $60, you can express this as follows:

x+y=60, where:

x is the amount that Ana has

y is the amount that Katie has

Also, Anna has $9 more than twice Katie's amount, which can be expressed as:

x=2y+9

The system is:

x+y=60 (1)

x=2y+9 (2)

Now, you can replace (2) in (1) and solve for y:

2y+9+y=60

3y=60-9

3y=51

y=51/3

y=17

Finally, you can replace the value of y in (2) to find x:

x=2(17)+9

y=34+9

y=43

According to this, the answer is that Ana had $17 and Katie had $43.


Related Questions

What is the slope of the line that passes through the points
(6, 7) and (4 , 2)? Write your answer in simplest form.

Answers

Answer:

Y = 5/2x - 8

Step-by-step explanation:

m = 5/2

In ΔKLM, k = 480 cm, ∠M=80° and ∠K=39°. Find the length of m

Answers

Answer: 751

Step-by-step explanation:

Answer:

751

Step-by-step explanation:

delta math

The probability of tails of a weighted coin is 0.8. The number of tails is noted each of the 20 times the coin is tossed. If this procedure is repeated 75 times, what type of distribution is simulated?

Answers

Answer:

A sampling distribution of the sample proportion with n = 20 and p = 0.8

Step-by-step explanation:

We are given that

The probability of tails of a weighted coin, p=0.8

n=20

We have to find the type of distribution is simulated if this procedure repeated 75 times .

Random variable is a proportion of number of tails therefore, type of distribution is   sampling distribution of the sample proportion.

We have n=20 and p=0.8

Hence, we can say that type of distribution is simulated is given by

A sampling distribution of the sample proportion with n = 20 and p = 0.8

Answer:

I chose answer D. A binomial distribution with n=20 and p=0.8, No clue if correct or not

Step-by-step explanation:

in the diagram below of triangle C D E,F is a midpoint of C D and G is a midpoint of D E, if F G = 9x -59, C E = 34 - x, what is the measure of C E?

Answers

Answer:

Hey, I'm not sure if my assumptions were correct or not because there is no diagram. I assumed the triangle to be equilateral, the two lines are parallel and the height of the triangle is 1.

Step-by-step explanation:

Since the triangle is parallel*, we can just use ratio and proportion.

[tex] \frac{rise}{run} = \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ 1(9x - 59) = 0.5(34 - x) \\ 9x - 59 = 17 - .5x \\ 9x + 0.5x = 59 + 17 \\ 9.5x = 76 \\ x = \frac{76}{9.5} \\ x = 8[/tex]

Now that we had found the value of x, we will now substitute that to both equations to get the respective distances.

CE = 34 - x = 34 - 8 = 26

What probability expression is equivalent to P( / z / > 1.96)?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given

P(Z > 1.96)

To determine

What probability expression is equivalent to P(Z > 1.96)

Suppose Z is a standard normal variable.

Therefore,

P(Z > 1.96) = 1 - P(Z ≤ 1.96)

solving

                 = 1 - Ф(1.96)

                 = 1 - 0.9750

                 = 0.0250

The probability of the expression being equivalent to P(z > 1.96) is calculated as 0.0250.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The given information is P(z > 1.96)

Let z is a standard normal variable. Then we have

P(z > 1.96) = 1 – P(z ≤ 1.96)

P(z > 1.96) = 1 – 0.9750

P(z > 1.96) = 0.0250

More about the z-score link is given below.

https://brainly.com/question/13299273

At the bookstore, 40 copies of a popular paperback book fit perfectly on a 5-foot shelf. How many copies of this book would fit perfectly on an 8-foot shelf? A. 72 books B. 60 books C. 68 books D. 64 books

Answers

Answer:

64 books

Step-by-step explanation:

The first step is to find the number of books that will fit in the shelve per foot

= 40/5

= 8

Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows

= 8×8

= 64

Hence 64 books would fit in 8-foot shelf

A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. The total cost of the coach's order is less than $125.00. What inequality can be used to determine the greatest number of hats, h, the coach orders

Answers

Answer: 11

Step-by-step explanation:

Based on the information that have been given in the question, we can use the information to form an inequality which goes thus:

5 + 9.95h < 125

9.95h < 125 - 5

9.95h < 120

h < 120/9.95

h < 12.06

h < 12

Therefore since h is less than 12, the greatest number of hat that can be ordered will be 11.

Write an equation (multiplication) that equals 3/4

Answers

Answer:

100 x 0.0075 :)

or 1 x 0.75 or 10 x 0.075

Enter an algebraic equation for the word sentence. Use x as your variable. A number increased by 6.8 is 8.9.

Answers

Answer:

x + 6.8 = 8.9

Step-by-step explanation:

First let's break this sentence down into parts.

A number increased by 6.8 is 8.9.

"A number" - This value is unknown, therefore we will represent it with x.

"increased by" - This signifies that we will be adding.

"is" - This represents the equal sign (=)

Now let's put these together.

x + 6.8 = 8.9

This is your expression.

Hope this helps!

5(-2x + 4) - 9(1 - 3x)

Answers

Answer:

17x+11

Step-by-step explanation:

-10x+20-9+27x

-10x+27=17x

20-9=11

17x+11

Answer:

Step-by-step explanation:

Here you go :)

Step 1

5(-2x + 4) - 9(1 - 3x)  Question

Step 2

5(-2x + 4) - 9(1 - 3x)  Remove parenthesis

-10x+20+-9+27x

Step 3

-10x+20+-9+27x  combine terms

17x+11

Answer

17x+11

Find the measure of angle 4.

Answers

Answer:

80 degrees because if you look at 1 its 62 plus 18

1

What is the slope of this non-vertical line? Use your transparency if needed.

3

There’s no further instructions on this please help

Please help

Answers

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

1/8= 12 true or false

Answers

Answer:

False

Step-by-step explanation:

1/8 = 0.125

12 = 12

0.125 and 12 do not match; the expression is false.

How long will the path be.

Answers

Given:

The side of the square garden is 30ft.

To find:

The length of the diagonal of the square garden.

Solution:

We know that, the length of the diagonal of a square is

[tex]d=a\sqrt{2}[/tex]         ...(i)

Where, a is the the side of the square.

We have,

Side of the square garden = 30 ft.

Putting a=30 in (i), we get

[tex]d=30\sqrt{2}[/tex]

The measure of the diagonal path is [tex]30\sqrt{2}[/tex] ft.

Therefore, the correct option is D.

Find the length of BC and BE (show work please)

Answers

Answer:

BC = 4 cm

BE = 10.39

Step-by-step explanation:

ABCD is an isosceles trapezoid.

Measures of base angles of an isosceles trapezoid are equal.

[tex]\therefore m\angle ABC = m\angle DCB [/tex]

[tex]\because m\angle DCB = 120\degree [/tex]

[tex]\therefore m\angle ABC = 120\degree [/tex]

[tex] m\angle ABE = 120\degree-90\degree [/tex]

[tex] m\angle ABE = 30\degree [/tex]

in triangle ABE,

[tex]\cos 30\degree =\frac{BE}{12}[/tex]

[tex]\frac{\sqrt 3}{2} =\frac{BE}{12}[/tex]

[tex] BE = \frac{\sqrt 3\times 12}{2} [/tex]

[tex] BE =6\sqrt 3\: cm[/tex]

[tex] BE = 10.39 cm[/tex]

[tex]\sin 30\degree =\frac{AE}{12}[/tex]

[tex]\frac{1}{2} =\frac{AE}{12}[/tex]

[tex] AE = \frac{12}{2} [/tex]

[tex] AE =6 \: cm[/tex]

Next, Draw [tex] CF\perp AD [/tex]

FD = AE = 6

EF = 16 - (AE + FD) = 16 - (6+6) = 16-12

EF = 4 cm

BCFE is a rectangle.

Measures of the opposite sides of a rectangle are equal.

Therefore

BC = EF

BC = 4 cm

Someone help me please...

Answers

Ac is 8
Ab is 15
Bd is 8
CD is 15

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30

Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.

Answers

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

2+y<3 I need the answer please

Answers

Answer:

y<1

Step-by-step explanation:

In the following equation, when x=3, what is the value of y? -4x + 3y = 12

Answers

Answer:

The answer is y = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

~Brainly, please?~


what is 10÷3=? math
kaixbaigna​

Answers

Answer:

3.333333....

Step-by-step explanation:

Ms. McNeil buys 7.4 gallons of gasoline. The total cost is $28.12. Complete and solve the equation to find the price p in dollars of one gallon of gasoline. p = 28.12 The price of one gallon of gasoline is $.

Answers

Answer:

one gallon is $3.80

Step-by-step explanation:

divide 28.12 by 7.4 then bam

I need help please!

Answers

Answer:

y=60x; 60 X 12= 720

Step-by-step explanation:

Answer:

60 x 12= 720

Car A will travel 720 miles

Step-by-step explanation:

PLZ mark me brainliest

Which regression equation best fits these data?

Answers

Answer:

Step-by-step explanation:

No, the answer is y=-0.30x2-0.48x+15.83

Grades
AllianceRMMS.com
2 points
3) Tati wants to save money to be ready to shop for presents during
Christmas 2021. Tati has $25 in her piggy bank and continues to save $40
per month. What is the rate of change and constant; write Tati's savings
plan in slope-intercept form.*
O y = 65 next month
O y = 25x + 40
y = 40x + 25
O y = 15x + 25

Answers

Answer:

AllianceRMMS.com

2 points

3) Tati wants to save money to be ready to shop for presents during

Christmas 2021. Tati has $25 in her piggy bank and continues to save $40

per month. What is the rate of change and constant; write Tati's savings

plan in slope-intercept form.*

O y = 65 next month

O y = 25x + 40

y = 40x + 25

O y = 15x + 25

do thatand u find out

Step-by-step explanation:

2.25(a+1.3)=20.7 what is the value of a ? ​

Answers

Answer:

7.9

Step-by-step explanation:

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

Answers

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

The length of f from the given triangle FGH is 10.7 inches.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.

Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°

f² = 57.76+10.24-48.64×(- 0.9396)

f² = 68+45.70

f² = 113.7

f = √113.7

f = 10.7 inches

Therefore, the length of f is 10.7 inches.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ3

1. If y varies inversely as x and x = 2 when y = 8, find x when y= 5.

Answers

Answer:

16/5

Step-by-step explanation:

Since y varies inversely as x,  then xy = k  

                                                          2(8) = 16 = k

Therefore, xy = 16

Now,  5x = 16

x = 16/5

6. Andre and Clare are discussing triangle ABC that has a right angle at C and a

hypotenuse of length 15 units. Andre thinks the triangle could have legs that are 9 and

12 units long. Clare thinks angle B could be 20 degrees and then side BC would be 14.1

units long. Do you agree with either of them? Explain or show your reasoning.

Answers

Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

-2/3 + 3/9 help me please

Answers

Answer:

-0.333333333333

Step-by-step explanation:

Answer:

This will be as a decimal: 0.33333333333

Step-by-step explanation:

0.4 = 2/5. 0.33333333333… =1/3. 0.237 = 237/1000.

Help me with this problem I will give brainliest

Answers

Answer:

x=3

Step-by-step explanation:

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