MATHEMATICS HIGH SCHOOL

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

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A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the bag.What is the probability that the marble drawn will not be blue?

A. 2/9

B. 3/4

C. 7/9

D. 7/8

Answers

Probability of anything =

   (number of possible successful outcomes)
divided by
   (total possible number of outcomes) .

There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.

The successful outcomes are all the possible draws that are
not blue. There are 28 of those.

So the probability of a non-blue selection is

   28/36 = 7/9 = 77.8% (rounded)

Answer:

It is indeed 7/9

To prove, I took the test with the answer 7/9, and took a screenshot.

Anyways, hope this helps, and have a great day

12 diminished by 6 times a number( which one is correct)1. 12-6n

2. 6n-12

3. 12n-6

Answers

number one is right. dimished means to make smaller. so 12-6n is right.

12 - 6n .....diminished means subtract

Divide 7/24 by 35/48 and reduce to lowest fraction

Answers

To divide fractions you multiply the reciprocal of the divisor.

7/24 ÷ 35/48 =
7/24 × 48/35 =
336/840

Now we have to reduce...

336/840 = 168/420 = 84/210 = 42/105 = 6/15 = 2/5

Answer is 2/5

4. A couple has 4 children. What is the probability that they have at least 2 girls?

Answers

6/16 or 3/8 unless you mean percentage

On day 1, Erica puts £1 in her bank. On day 2, she puts in £2, on day 3 she puts in £3 etc. How much money will she have after 100 days

Answers

Answer:

5050

Step-by-step explanation:

There is a simple formula for this kind of problem where you have to find the sum of consecutive numbers 1 to n:

[n(n+1)] / 2

In this case n is 100 so,

[100(100+1)]/2

[100(101)]/2

10100/2

5050

You can also do this by brute force and just add all consecutive numbers to 100

What is the answer for number 1

Answers

r = -2 :) hope this helps

Answer:idk rate mine brain iest and i give u it to

Step-by-step explanation:

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