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Alekssandra [29.7K]
3 years ago
11

Solve the problem [(-9+6 ) + 15] /4 ?

Mathematics
2 answers:
Monica [59]3 years ago
8 0
[(-9+6)+ 15]/4 brackets first, calculate whats in the parenthesis

[(-3)+15]/4
12/4
= 3
Elena L [17]3 years ago
6 0

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right).

\dfrac{(-9+6)+15}{4}=\dfrac{-3+15}{4}=\dfrac{12}{4}=3

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Two brothers are sharing a certain sum of money in the ratio 2/3 : 3/5, if the largest share was Gh¢500.00. How much was shared
lina2011 [118]

Given:

Two brothers are sharing a certain sum of money in the ratio \dfrac{2}{3}:\dfrac{3}{5}.

The largest share was Gh¢500.00.

To find:

The total amount shared between them.

Solution:

It is given that, two brothers are sharing a certain sum of money in the ratio \dfrac{2}{3}:\dfrac{3}{5}.

First we need to make the denominators common.

Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}

Ratio=\dfrac{10}{15}:\dfrac{9}{15}

Ratio=10:9

So, the two brothers are sharing a certain sum of money in the ratio 10:9.

Let the shares of two brothers are 10x and 9x respectively. So, the larger share is 10x.

It is given that the largest share was Gh¢500.00.

10x=500

x=\dfrac{500}{10}

x=50

Now, the total amount shared between them is:

Total=10x+9x

Total=19x

Total=19(50)

Total=950

Therefore, the total amount shared between them is Gh¢950.00.

5 0
3 years ago
Angelina wins money in a competition. She is given the choice as to how she is paid.
NISA [10]

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

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<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

__

<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

  n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

8 0
2 years ago
At the sewing store, Eva bought a bag of mixed buttons. She got 64 large buttons and 16 small buttons. What percentage of the bu
DIA [1.3K]

Answer:

80% of the buttons were large.

Step-by-step explanation:

Recall that percentages are fractions.

We first need to find the total number of buttons that Eva bought

64 + 16 = 80

Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)

64 ÷ 80 = 0.8

To convert our decimal to a percentage, we must multiply it by 100.

0.8 * 100% = 80%

Therefore, 80% of the buttons were large.

7 0
3 years ago
Find the solution of the system of equations.<br>- 3x + 10y = 17<br>3x + 7y = 17​
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Answer:

x=1, y=2. (1, 2).

Step-by-step explanation:

-3x+10y=17

3x+7y=17

---------------

17y=34

y=34/17

y=2

3x+7(2)=17

3x+14=17

3x=17-14

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x=1

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29 mg = 0.029 g hope this helps
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2 years ago
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