Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left. How many pennies did they lose altogether?

Answers

Answer 1

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150


Related Questions

What effect will 4 have on the graph of y = sin(x)?

Answers

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

which 3 sticks should he use (there’s a picture of the problem)

Answers

Answer:

The answer is number three

Step-by-step explanation:

I know this because the formula for pythageon theorm is.                         (A)squared + (B)squared = (C)squared so if you substitude the value of number three into the therom it would be equal to this 6x6+8x8=10x10

then if you simplify it would equal 36 + 64 = 100 and so this would satisfy the therom.

Mrs. Whitlow gives her dog, Ekon, a weekly allowance to spend on treats. This week, Ekon
received $2.20 in nickels and dimes. If there is a total of 26 coins, how many of each coin did
Ekon get?

(Solve using systems of linear equation)​

Answers

Answer:

8 nickels and 18 dimes

Step-by-step explanation:

Make a system of equations:

n + d = 26

5n +10d = 220

Solve by elimination by multiplying the top equation by -5. This gives you:

-5n -5d = -130

5n +10d = 220

Then solve to get 5d= 90, then d= 18.

Then plug 18 for d in the equation n + d= 26, so n + 18= 26

n= 8

PLEASEEEEEEEEEEEEEEEEEEEEEE URGENT HELP I HAVE NO IDEA!LIKE ALWAYS I WILL MARK CORRECT ANSWER AS BRAINLIEST!
PLEASEEEEE CHECK MY OTHER QUESTION AS WELL AFTER THIS ONE THANK YOU I WOULD REALLY APPRECIATE IT!!!!

HORIZONTAL Options: (a) 2 units left. (b)2 units right. (c)1 unit left. (d)1 unit right.

VERTICAL TRANSLATION of OPTIONS: (a) 2 units up (b) 2 units down (c) 1 unit up (d) 1 unit down

30 POINTS EVERYONE AND BRAILIEST IF IT IS CORRECT PLS AND THANK YOU

Answers

Answer:

Vertical: 2 units down

Horizontal: 1 unit left

Step-by-step explanation:

X +/- numbers: means it will go up or down

If its parentheses then it is the opposite

A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.

Answers

Answer:

area of the kitchen

Step-by-step explanation:

in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m

Area of the bedroom is A=4*7.2=28.8  m^2

Area of the kitchen  is  300.000 cm^2=30 m^2

30>28.8

The bigger area is  area of the kitchen

The bigger area between bedroom and kitchen is kitchen which is 30 m^2

What is area?

Area can be find of l length and b breadth sides is

Area = l b

How to find area?

Here the scale of bedroom is given that is 1 : 40

If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are

l = 10x40 = 400 cm = 4 m

b = 18x40 = 720 cm = 7.2 m

Therefore the area will be

Area of bedroom = 4x7.2 = 28.8 m^2

And we have given

Area of the kitchen = 300,000 cm^2

Convert into m^2 we have

Area of the kitchen = 30 m^2

This shows the area of the kitchen is bigger than the area of the bedroom

This is the conclusion to the answer.

Learn more about area here-

https://brainly.com/question/24487155

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If f(x) = 49- x and g(x) = 7-, which is the rule of the function (8-3)(x)?
a
-x2 - X+ 56
b. x? - 7x2 - 49x + 343
7+X
d. x2 + x +42
C.
Please select the best answer from the choices provided
A. B. C. D.

Answers

Answer:

B ) x³ -7 x² -49 x +343

 (f .g) (x)  = x³ -7 x² -49 x +343

Step-by-step explanation:

Explanation:-

Given f(x) = 49 - x²  and g(x) = 7-x

  (f .g) (x)  = f(x) .g(x)

  (f .g) (x) = ( 49 - x² ) (7-x)

              = 49 ((7-x))- x²(7-x)

             = 343 -49 x -7 x² + x³

 (f .g) (x)  = x³ -7 x² -49 x +343

Conclusion:-

(f .g) (x)  = x³ -7 x² -49 x +343

Find the measure of angle X in the figure below Choices: 35°, 47°, 73°, 78°

Answers

Answer:

To find angle x we must first find y

For angle y

Angles on a straight line add up to 180°

56 + 51 + y = 180

y = 180 - 56 -51

y = 73°

Now for angle x

Angles in a triangle add up to 180°

y + x + 72 = 180

y = 73°

73 + x + 72 = 180

x = 180 - 73 -72

x = 35°

Therefore angle x is 35°

Hope this helps.

First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:

180-52-59=69

y=69°

Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:

63+y+x=180

63+69+x=180

180-63-69=x

x=47°

Expand & simplify: (x + 1)(x + 3)

Answers

Answer:

368

Step-by-step explanation:

Answer:

x squared+ 4x + 4

Step-by-step explanation:

what is the answer to -2x- x +8

Answers

the answer is -3x+8 hope this helped!

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

I don't know if this has an =0 at the end, but I assume it does.

This is how you would work it out:

[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]

50 km into centimeter​

Answers

Answer:

5,000,000 cm

Step-by-step explanation:

1 km=100000cm

we just multiply 50km x 100000,which we get 5 million cm

Answer:

5 000 000 cm

Step-by-step explanation:

1km = 1000 m (meter)

1m = 100 cm

then

1km = 1000×100 cm

      = 100 000

then

50km = 50×100 000

          = 5 000 000

A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.

Answers

Answer:

Step-by-step explanation:

Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:

[tex]V=72300e^{(.071)(19)}[/tex] and

[tex]V=72300e^{1.349[/tex] and

V = 72300(3.853570033) so

V = $278,613.11

10q - 30 is equivalent to?

Answers

Answer:

So in this question im guessing you simplify with parenthesis

Since its too easy, I cant really explain, but heres the answer:

(q+3)*10

I need help with this question

Answers

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

Does anyone know this answer

Answers

Answer:

D. 71.61 ft

Step-by-step explanation:

A=pi*r^2

408.3=pi*r^2

solve for r

r=11.4 ft

C=2*pi*r

C=2*pi*11.4=71.61 ft

What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
answers

Answers

_______________________________

Hey!!

Solution,

cost of 120 ounce of coffee= $9.60

cost of an ounce of coffee= 9.60/120

=$ 0.08

Hope it helps

Good luck on your assignment

_____________________________

Answer:

So for an estimation my answer would be 0.08

Step-by-step explanation:

Do 9.60 divided by 120.

Hope this helps, have a good day! :)

(Picture of formula and work below)

Jun-seo notices that there are 13 right-handed players on his baseball team and 2 left-handed players. What is the ratio of right-handed players to left-handed players?

Answers

Answer:

The ratio of right handed to left handed players is 13 to 2

Step-by-step explanation:

Here in this question, we are asked to give the ratio of right handed to left handed players.

To give this ratio, we shall need to know the numbers of right handed players and left handed players.

From the question, we can see that there are 13 right handed and 2 left handed players.

Thus, the ratio of right handed to left handed players is 13:2

Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?

a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x

Answers

Answer:

400

Step-by-step explanation:

5=4=78+400

Answer: f(x)=400(1.1)^x

Step-by-step explanation:

Help me out with this question

Answers

Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.

6 / 2 = 3

Have a good day/night!

Answer:

[tex]2/6=1/3[/tex]

If X || Y and Y || Z, then ____

Answers

Answer:

If X || Y and Y || Z, then X_|| Z___

Step-by-step explanation:

This is transitive property

Simplify the expression 3x(2x2).
O A.
5x²
OB.
m
5
OC.
m
OD.
6x6

Answers

Answer:

6 x^3

Step-by-step explanation:

3x(2x^2).

3*2 = 6

x * x^2 = x^3

6 x^3

Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Show that the probability that she walks at least one way is 0.72

Answers

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

[tex]P(A \cup B) =0.72[/tex] (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]

[tex]= 1 - 0.28\\= 0.72[/tex]

Hence, the probability that Sue walks at least one way is 0.72.

The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:

Answers

Answer:

d. 63

Step-by-step explanation:

sum of 3 interior angles= 180°

78°+39°+a=180°

a= 180°- 117°

a= 63°

Answer:

D. 63°

Step-by-step explanation:

The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.

78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)

A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?

Answers

Answer:

They Played 15 games total

Step-by-step explanation:

Make ratios:

9:60 %

x:100 %

Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900

Divide to get x: 60x/60=900/60

x=15

They Played 15 games total

Please mark brainliest and have a awesome day

Subtract -5/8 -(-1/4)
plzz answer now!

Answers

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

What is the perimeter of the triangle?

Answers

Answer:

P = 36 units

Step-by-step explanation:

Pythagoras

ip = √(12² + 9²)

= √(144 + 81)

= √225

= √15²

= 15 units

P = 9units + 12units + 15units = 36 units

A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect? Enter your answer in the box.

Answers

Answer:

If he got 9 out of 15 correct, he got 6 problems incorrect.

6/15 is incorrect

6/15 × 100

40 % is your answer

Answer:

40% are incorrect

Step-by-step explanation:

If 9 are correct then 15-9 = 6

6 are incorrect

6/15 = 2/5

Change to a percent

2/5 *20/20 = 40/100

Percent means out of 100

40% are incorrect

yuhh get in too ittt

Answers

Answer:

A

Step-by-step explanation:

16x-16=4y

4(4x-4)=4y

y=4x-4

Therefore, the correct answer is choice A. Hope this helps!

Answer:

16x-16=4(4x-4)

Step-by-step explanation:

16x-16=4(4x-4)

4(4x)=16x

4(-4)=-16

Please help me answer these two questions!! Brainliest to be given!!

Answers

Answer:

a=2

b=93

I hope this helps you

Step-by-step explanation:

Answer:

1. 2  

2. 93

Step-by-step explanation:

First we have to put the values of x and y into the equation

4(3)-2(5)

(4×3)-(2×5)

12-10=2

Now the second one

2(3)²+3(5)²

18+75=93

Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?

Answers

Answer:

I believe the answer is four there is twice as many horses so you would double the amount of original goats.

The number of goats that went with 6 pigs and 10 horses is; 4 goats.

Let the number of horses be h.

Let the number of pigs be p

Let the number of goats be g.

We are told that horses vary directly as goats.

Thus;

h ∝ g

Thus; h = k1g - --(eq 1)

Also, we are told that horses varies inversely as pigs squared.

Thus;

h ∝ 1/p²

h = k2/ - - - (eq 2)

Where k1 and k2 are constant of proportionality.

When there are 5 horses there are 2 goats. Thus;

5 = 2k1

k1 = 5/2

k1 = 2.5

When there are 10 horses, we will have;

10 = 2.5g

g = 10/2.5

g = 4

Read more at;https://brainly.com/question/6843518

Which of the following phrases are inequalities?
Choose 3 answers:

Answers

Answer:

option b,c,d

Step-by-step explanation:

Given choices are

A: x^2-5x+6

B: 11> (w-4)^2

C: y< 3^4

D: 5+9<5\cdot 95

E: \dfrac{z+11}{2z-1}

Inequality is the phrase that contains variables or numbers and inequality symbols like <  or > or <= or >=

option A goes not have inequality symbol , so it is not an inequality

Option B has > symbol. It is an inequality

Option C has < symbol. It is an inequality

Option D has < symbol. It is an inequality

Option E has only fraction. So it is not an inequality

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