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3 years ago

..A tin of paint was 2/3 litres full. Tom used 1/2 of

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

Multiply the amount of paint started with by the amount used:

2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3

There is 1/3 liter left

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Which statements are true

Dominik [7]

The first, third, and sixth are correct.

6 0

3 years ago

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A factory uses 1/8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3/4 of a barrel of raisins.

dimaraw [331]

Answer: 6

Step-by-step explanation:

From the question, we are informed that a factory uses 1/8 of a barrel of raisins in each batch of granola bars and that the factory used 3/4 of a barrel of raisins yesterday.

To calculate the number of batches of granola bars that the factory made yesterday, we divide 3/4 by 1/8. This will be:

= 3/4 ÷ 1/8

= 3/4 × 8/1

= 24/4

= 6

The company made 6 batches of granola bars

7 0

3 years ago

Sofian's current age is (2x + 3) times Mastura's age. Given that Mastura's current age is (x + 5) years and 6 years ago, the sum

Sliva [168]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sofian's current age is (2x + 3) times Mastura's age.

★ Mastura's current age is (x + 5) years

★ 6 years ago, the sum of their ages is 44 years.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ The value of x.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

According to the question,

Present age of Mastura = (x + 5) years

Present age of Sofian = (2x + 3) (x + 5) years, i.e :

$\longrightarrow \tt (2x + 3) (x + 5)$

$\longrightarrow \tt 2 {x}^{2} + 10x + 3x + 15$

$\longrightarrow \tt 2 {x}^{2} + 13x + 15 \: years$

Now,

Mastura's age 6 years ago = (x + 5) - 6

=> x + 5 - 6

=> x - 1

Sofian's age 6 years ago = 2x² + 13x + 15 - 6

= 2x² + 13x + 9

Using the condition provided by the question, 

Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt (x - 1) + (2 {x}^{2} + 13x + 9) = 44$

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 - 44 = 0$

$\longrightarrow \tt 2 {x}^{2} + 14x - 36= 0$

• Taking "2" common.

$\longrightarrow \tt 2 ({x}^{2} + 7x - 18) = 0$

$\longrightarrow \tt {x}^{2} + 7x - 18 = \dfrac{0}{2}$

$\longrightarrow \tt {x}^{2} + 7x - 18= 0$

• Using splitting the middle term

$\longrightarrow \tt {x}^{2} + 9x - 2x - 18 = 0$

$\longrightarrow \tt x(x + 9) - 2(x + 9) = 0$

$\longrightarrow \tt (x + 9) (x - 2) = 0$

either $\tt (x + 9) = 0 \: \: or \: \: (x - 2) = 0$

$\longrightarrow \tt x = - 9 \: \: or \: \: x = 2$

[As the age cannot be negative. So x = - 9 is rejected]

$\therefore \tt \: x = \red{ 2}$

${\large{\textsf{\textbf{\underline{\underline{Verification :}}}}}}$

According to the condition provided by the question, 

• Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

Putting x = 2 we get,

$\longrightarrow \tt 2 - 1 + 2( {2})^{2} + 13(2) + 9 = 44$

$\longrightarrow \tt 1 + 2 \times 4 + 26+ 9 = 44$

$\longrightarrow \tt 1 + 8 + 26+ 9 = 44$

$\longrightarrow \tt 9 + 26+ 9 = 44$

$\longrightarrow \tt 18 + 26 = 44$

$\longrightarrow \tt 44 = 44$

Hence verified.

$\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}$

Hope it helps you! :))

6 0

2 years ago

a box shaped like a rectangular prism has a height of 17 in and a volume of 2720 in^3. the length is 4 inches greater than twice

77julia77 [94]

Answer:

8 inches

Step-by-step explanation:

You want to find the width (w) in inches such that ...

V = LWH

2720 = (2w+4)·w·17 . . . . . . . . . . fill in the given values

80 = (w+2)(w) = w^2 + 2w . . . . . divide by 34

81 = (w +1)^2 . . . . . . . . . . . . . . . . complete the square

9 = w+1 . . . . . . square root (we only care about the positive solution)

8 = w . . . . . . . . subtract 1

The width of the box is 8 inches.

4 0

4 years ago

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I really need help on this

Naya [18.7K]

Answer:

armani

Step-by-step explanation:

every number in the first column times 1.50 will be the number in the second column

4 0

3 years ago