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PolarNik [594]
3 years ago
10

a bag contains only a red and blue marbles there are a total of 36 marbles in the back there are five red marbles for every four

blue marbles in the bag a student removes one Blue Marble from the bag the student reasons that there are now 5 red marbles in the bag for every 3 blue marbles since 4-1 equals 3
Mathematics
1 answer:
Harrizon [31]3 years ago
7 0
Let R and B be the number of red and blue marbles respectively.

Then,
R+B = 36
R:B = 5:4

Therefore,
Ratio of red marbles = 5/9
Ratio of blue marbles = 4/9
This means,
R = 5/9*36 = 20 marbles
B = 4/9*36 = 16 marbles

If one blue marble is removed from the bag, the  new B= 16-1 = 15 blue marbles  and the new total of marbles in the bag = 36-1 = 35 marbles.
The new ratios are
R = 20/35 =4/7
B = 15/35 = 3/7
That is, R:B = 4:3

The reasoning of the student is wrong. When a marble is removed, both the number of blue marbles changes as well as the total of the marbles in the bag. In other words, both the values in the ratio reduce by 1.
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In the supermarket a loaf of bread costs 37p how many loaves can david buy with a 2 coin ? How much money will be left over?
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Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a \pounds 2 coin?

Since \pounds 1=100\text{ pence}

Then, \pounds 2=200\text{ pence}

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

=5\dfrac{15}{37}

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

6 0
3 years ago
The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?​
Maru [420]

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

8 0
3 years ago
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an
Mrrafil [7]

Answer:

10.14 years

Step-by-step explanation:

The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:

V=100-30e^{-0.04t}

The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:

80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years

It will take 10.14 years until 80% of all eligible voters in your county are registered to vote

8 0
3 years ago
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tensa zangetsu [6.8K]

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Step-by-step explanation:

7 0
3 years ago
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If a equals 4b - 15 what is b
nlexa [21]

Answer:

b = a + 3.75

Step-by-step explanation:

a = 4b - 15

You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides

a (+15) = 4b - 15 (+15)

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Next, divide 4 from both sides. Remember to divide from all terms.

(4a + 15)/4 = (4b)/4

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b = a + 3.75 is your answer

~

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