Lewis and his sister both open savings accounts. Each begin with a balance of zero dollars. For every 4 dollars that Lewis saves in his account, his sister saves 9 dollars. If Lewis has 64 dollars in his account, how much money does his sister have?

Answers

Answer 1

Answer:

144 dollars

Step-by-step explanation:

We are told that:

Lewis and his sister both begin with a balance of zero dollars.

Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.

Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.

Therefore his sister saved 9 dollars for 16 times too.

Thus, his sister saved: 16 × 9 = 144 dollars


Related Questions

What’s the greatest common factor of 156 and 260 show your work

Answers

Answer:

52

Step-by-step explanation:

156:    22       313

260:    22        513

GCF:    22         13

The Greatest Common Factor (GCF) is:   2 x 2 x 13 = 52

Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin?

Answers

Answer:

The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)

Step-by-step explanation:

When conducting a 180 degree rotation, you can just reverse the points to get your answer.

The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.

What is coordinate?

Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph

here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.


Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Learn more about coordinate here:

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A company makes two sizes of dog toys. The regular size works for most dogs, and the jumbo size is for really big dogs! Last week, the company made 1,740 dog toys. They made 11 times as many regular size toys as jumbo size toys. How many jumbo size dog toys did they make?

Answers

Answer: 1595 jumbo size

Step-by-step explanation:

From the question, let regular size toys be represented by a.

We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:

Jumbo side toys = 11 × a = 11a

To calculate the number of jumbo size dog toys they make goes thus:

11a + a = 1740

12a = 1740

a = 1740/12

a = 145

Jumbo size toys = 11a

= 11 × 145

= 1595

I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best

Answers

B. 200, rounded answer since it was 199.9

Answer:

The answer is B.200

Step-by-step explanation:

145.93×1.37=199.9

We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200

Hope it helps :)

The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?

Write the equation to be used to solve this equation.

Answers

Answer:

12 species

Step-by-step explanation:

37-N=25

working backwards

25-37=N

=25-37=12

solve for b d=3a+3b​

Answers

[tex]b = - a + \frac{1}{3} d[/tex]

En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =

And if someone know the explanation please write it​

Answers

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *simple triangle math you know*

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2)

Answers

Answer:

3x^2-x-2 or (x+1) (3x-2) (x-2)

Step-by-step explanation:

I'm assuming you have to divide:

(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]

     

Hope this helps.

Answer:

p(x)=(x+1)(3x-2)(x-2)

Step-by-step explanation:

Is √3,600 rational? Or a perfect square

Answers

Answer:

Yes to both

Step-by-step explanation:

In pretty sure it’s rational

A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.

Answers

9514 1404 393

Answer:

  A(x) = -2/5x^2 +200x

Step-by-step explanation:

There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...

  5y +2x = 1000

Then the value of y is ...

  y = (1000 -2x)/5

The area is the product of x and y:

  A(x) = xy

  A(x) = x(1000 -2x)/5

  A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area

In standard form, the equation is ...

  A(x) = -2/5x^2 +200x

READ THE END! PLEASE HELP! OK, will mark best straight answer with brainiest (with explanation) URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? [ Also, if its 17.5 please explain what happened to 180 & 160!!! ]

Answers

Answer:

Both castles will have the same height at 3.33 minutes

Step-by-step explanation:

This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.

Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:

[tex]H_J=180-8t[/tex]

Where t is the time expressed in minutes.

Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:

[tex]H_T=160-2t[/tex]

To find when both castles have the same height, we set:

[tex]180-8t=160-2t[/tex]

Simplifying:

6t=20

Solving:

t=20/6=3.33\ minutes

Both castles will have the same height at 3.33 minutes

I need some help with (−3f−5f+9)−(−6f+2)

Answers

Answer:

the correct answer would be -2f+7

Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)

Answers

Answer:

6

Step-by-step explanation:

They are asking you to plug in 2 for the g(x) equation

5(2)-4=6

Can someone please help this is math? ill give BRAINLIEST

Answers

Answer:

27

Step-by-step explanation:

 To solve this problem, let us follow it step by step;

 Let Peter's number  = P;

     So;

    ⇒   P - 17

    ⇒  -2 (P - 17 )

    ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

        -2 (P - 17 ) = -20

        -2P + 34  = -20

        -2P = -20 -34

          -2P  = -54

              P = 27

Answer:

Answer:

27

Step-by-step explanation:

To solve this problem, let us follow it step by step;

Let Peter's number  = P;

    So;

   ⇒   P - 17

   ⇒  -2 (P - 17 )

   ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

       -2 (P - 17 ) = -20

       -2P + 34  = -20

       -2P = -20 -34

         -2P  = -54

             P = 27

Step-by-step explanation:

At the beginning of the week, Tideland Manufacturing had an inventory of 60,000 screws. This week they received a shipment of 30,000 more screws. Then they used 50,000 screws to make their Tideland mowers. How many screws do they have left in inventory?​

Answers

Answer:

40,000

Step-by-step explanation:

You just add 60,000 and 30,000 which makes 90,000 and subtract it with the 50,000 then which equals to 40,000. you don't need to rate me.

-2 (3x - 6) + 4 (5x - 8) = 92

Answers

Answer: x=7

Step-by-step explanation:

HELP PLEASE PLEASEEEEEEE

Answers

Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

[tex] \frac{44}{100} = \frac{816}{x} [/tex]

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

I think it’s 1854.55 miles

What is the value of x x+18+5x-6=180

Answers

Step-by-step explanation:

I Hope it helps you . Hope it will

Answer:X=28

Step-by-step explanation:

first you combine the like terms wich are x and 5x also -6 and 18

second your equation will be 6x+12=180

Third you subtract 12 from each side

4th you divide each side by 6 to simplify the x

5th your anwse would be x =28

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

UV=24 and XY=15 because the pentagon to the left's side lengths are 3 times as large compared to the one on the right.

What is the factored form of 8x^3 - 27y^3?

A. (2x + 3y)(4x^2 - 6xy + 9y^2)

B. (2x – 3y)(4x^2 + 9xy + 6y^2)

C. (2x – 3y)(4x^2 + 6xy + 9y^2)

D. (2x + 3y)(4x^2 - 9xy + 6y^2)

Answers

the correct answer is C
I solve it and my answer is C



The figure shown is reflected over the x-axis, then reflected
over the y-axis, and then translated 3 units right.
Which graph best represents the new position of the figure
after the three transformations?
Select one:

Answers

Answer:

grapgh?????

Step-by-step explanation:

helppp plsssssssssssssssssssss

Answers

Answer:

6b-8=58

b=11

Step-by-step explanation:

A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?

Answers

Answer:

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

Step-by-step explanation:

According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:

[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)

Where:

[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.

[tex]f[/tex] - Kinetic friction force, mesured in newtons.

From (Eq. 1), we get that horizontal force is:

[tex]P = f[/tex]

On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:

[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)

Where:

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]W[/tex] - Weight of the bag, measured in newtons.

Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):

[tex]P = \mu_{k}\cdot W[/tex]

If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:

[tex]P =0.2\cdot (80\,N)[/tex]

[tex]P = 16\,N[/tex]

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

If the domain is 1,2,3,4 what is the range

Answers

The range is 3. To find the range you subtract the smallest number from the largest number. Hope this helps :)
The range is 3
Explanation:

WILL GIVE 100 POINTS AFTER YOU ANSWER

What is the median of this data set: 17, 13, 18, 20, 17, 15, 12


20
17
19
16

Answers

Answer:

b

Step-by-step explanation:

Solve for x please help me

Answers

X is 50 degree 180 - 130

0.4 (3d - 5) =4 hi :)))))

Answers

Answer:

d=5

Step-by-step explanation:

0.4 times 3= 1.2

0.4 times -5= -2

4+5= 6

6/1.2=5

Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?

Answers

Answer:

$31.70

Step-by-step explanation:

aPEx

Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On Monday she read 1 and 1 over 3 hours, Tuesday she read 3 over 4 of an hour and Thursday she read 3 hours. How many total hours does she still need to read in order to get full credit?

Answers

Given:

She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.

Monday she read [tex]1\dfrac{1}{3}[/tex] hours.

Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.

Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{16+9+36}{12}[/tex] hours

                                              [tex]=\dfrac{61}{12}[/tex] hours

Now,

Remaining time = Total time - Total time she already read

                         [tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{130-61}{12}[/tex]

                         [tex]=\dfrac{69}{12}[/tex]

                         [tex]=\dfrac{23}{4}[/tex]

                         [tex]=5\dfrac{3}{4}[/tex]

Therefore, the required time is  [tex]5\dfrac{3}{4}[/tex] hours.

Provide reasons for the proof.
Given: ∠2≅∠4 and ∠2 and ∠3 are supplementary
Prove: ∠1 ≅∠3

Answers

Answer:

See picture below.

Explanation

I took the test and got a 100% on it, so this should be right for any future students.

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