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Lerok [7]
3 years ago
7

FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2

gallongallon of juicejuice. How many cupcups of juicejuice does hehe ​buy?
Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

10 cups

Step-by-step explanation:

He buys 1 pint of juice and 1/2 gallon of juice.

We have to convert pint and gallon to cups and then add them.

1 pint = 2 cups

1 gallon = 16 cups

1/2 gallon = 1/2 * 16 = 8 cups

Therefore,

2 + 8 = 10 cups

Fernando buys 10 cups of juice.

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Systems of equations and inequalities<br> solving systems by elimination<br> {y= -x+1<br> {y= 4x-14
kodGreya [7K]

Answer:

x = 3  , y = -2

Step-by-step explanation:

Solve the following system:

{y = 1 - x | (equation 1)

y = 4 x - 14 | (equation 2)

Express the system in standard form:

{x + y = 1 | (equation 1)

-(4 x) + y = -14 | (equation 2)

Swap equation 1 with equation 2:

{-(4 x) + y = -14 | (equation 1)

x + y = 1 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{-(4 x) + y = -14 | (equation 1)

0 x+(5 y)/4 = (-5)/2 | (equation 2)

Multiply equation 2 by 4/5:

{-(4 x) + y = -14 | (equation 1)

0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{-(4 x)+0 y = -12 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by -4:

{x+0 y = 3 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 3  , y = -2

5 0
3 years ago
Read 2 more answers
A) Factorise 2x² - 9x - 5 (x-5)(2x+1) (2) <br>b) Hence, simplify fully 2x^2- 9x - 5 3x – 15x (2) ​
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Answer:

Step-by-step explanation:

<u><em>b).</em></u>

2x² - 9x - 5 = ( x - 5 )( 2x + 1 )

3x² - 15x = 3x ( x - 5 )

\frac{(x-5)(2x+1)}{3x(x-5)} = \frac{2x+1}{3x}

8 0
2 years ago
A drawer contains 3 white shirts, 2 blue shirts, and 5 gray shirts. A shirt is randomly
shutvik [7]

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = \frac{1}{4}

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

To find:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

Solution:

Here, total number of shirts = 3+2+5 = 10

First of all, let us learn about the formula of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}

P(First\ White) = \dfrac{3}{10}

Now, this shirt is set aside.

So, total number of shirts left are 9 now.

P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }

So, the answer is:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = \frac{1}{4}

4 0
2 years ago
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