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3 years ago

What is the answer to -1/3 - -9/4

Mathematics

1 answer:

dangina [55]3 years ago

3 0

Answer:

$\frac{23}{12}$

Step-by-step explanation:

Start by making a common denominator. In this case, it would be 12.

Multiply -1/3 by 4 to get -4/12

Multiply -9/4 by 3 to get -27/12

Then subtract

- $\frac{4}{12}$ - (- $\frac{27}{12}$ ) =23/12

You can also visualize this on a number line. Once you've made the denominator the same, start at -4/12 and move 27 units to the left to land on 23/12.

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Two consecutive integers have a sum of 195. Find the integeres

natta225 [31]

Hey ! there

Answer:

First Integer is 97

Second Integer is 98

Step-by-step explanation:

The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.

For finding integers we are assuming them . So ,

Let the first integer be x .

Let the second integer be x + 1 ( This is because in question it's given that they are consecutive integers )

Solution : -

According to question ,

First Integer + Second Integer = 195

So ,

$\dashrightarrow \qquad \: x + x + 1 = 195$

Step 1 : Adding like terms ( x and x ) on left side :

$\dashrightarrow \qquad \: 2x + 1 = 195$

Step 2 : Subtracting 1 on both sides :

$\dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1$

Simplifying it ,

$\dashrightarrow \qquad \: 2x = 194$

Step 3 : Dividing with 2 on both sides :

$\dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }$

On further calculations , We get :

$\dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar$

We know that ,

x = first number

✰ Therefore , first number is 97 .

x + 1 = second number
97 + 1
98

✰ Therefore , second number is 98. 

Verifying : -

Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,

97 + 98 = 195

195 = 195

L.H.S = R.H.S

Hence , Verified .

Therefore , our solution is correct .

<h2>#Keep Learning</h2>

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2 years ago

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Cindy was making desserts for a bake sale. She had 24 cups of sugar to work with. She used 3/4 of the sugar to make pies. She us

ki77a [65]

Answer:

she had 23 and 1/4 cups of sugar left to make the cookies.

93/4 is the improper fraction of that.

$\frac{93}{4} / \frac{3}{5}$

the lowest common multiple is 20, so convert the fractions to have common denominator

$\frac{465}{20} / \frac{12}{20}$

divide the numerators and you have your answer

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Step-by-step explanation:

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3 years ago

Question Progress a) Factorise x2+ 5x + 6

Brrunno [24]

Answer:

(x+2)(x+3)

Step-by-step explanation:

3x2=6

3+2=5

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Find the probability of winning a lottery by selecting the correct six integers where the order in which these integers are sele

insens350 [35]

There are C(30, 6) = 30!/(6!*(30-6)!) = 593,775 ways to pick 6 numbers from the first 30 positive integers.

The probabilty of matching 6 randomly chosen integers is 1/593,775.

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4 years ago

How do i do I answer this problem/what’s the answer

JulsSmile [24]

Answer:1/3

Reasoning:

Match up the corresponding sides so the longest sides would be 3/9 or 1/3 and then 2/6 or 1/3 and so on

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