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3 years ago

7

2 wholes and 3/12 + 3/? = 2 wholes and 5/8 .what is the missing number ?

1 answer:

Sladkaya [172]3 years ago

6 0

Basically you know that the 2 wholes from both sides cancel out.

Set up the equation, 5/8 = 3/12 + 3/x

3/x = 5/8 - 3/12

Set them to have a common denominator, 3/x = 15/24 - 6/24

3/x = 9/24

Simplify 9/24 and you will get 3/8

3/x = 3/8

Obviously this means x = 8

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The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea t

marishachu [46]

Let us say that:

x = mass from Earl Grey Tea

y = mass from Orange Pekoe Tea

So that:

x + y = 600

and that:

6 x + 4 y = 4.5 * 600

6 (600 – y) + 4 y = 2700

3600 – 6y + 4y = 2700

-2y = -900

y = 450 pounds

x = 600 – 450 = 150 pounds

Answer:

<span> Earl Grey Tea = 150 pounds</span>

<span>Orange Pekoe Tea = 450 pounds</span>

4 0

3 years ago

Evaluate the expression below.

o-na [289]

Answer:

<h2>A. 1</h2>

Step-by-step explanation:

Use:

|a| = a for a ≥ 0 or |a| = -a for a < 0

PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

========================================

|8 - 7| · 4 + 3(-1)

= |1| · 4 - 3

= 1 · 4 - 3

= 4 - 3

= 1

6 0

3 years ago

Read 2 more answers

Rewrite each fraction in simplest form using the GCF of the numerator and denominator.

Elanso [62]

Answer:

$\sf 6. \quad \dfrac{7}{10}$

$\sf 7. \quad \dfrac{5}{17}$

Step-by-step explanation:

<h3><u>Question 6</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

42 = 2 × 3 × 7
60 = 2 × 2 × 3 × 5

42 and 60 share one 2 and one 3 in common.

Multiply them together to get the GCF: 2 × 3 = 6.

Therefore, 6 is the GCF of 42 and 60.

Divide the numerator and the denominator by the found GCF:

$\implies \sf \dfrac{42 \div 6}{60 \div 6}=\dfrac{7}{10}$

<h3><u>Question 7</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

80 = 2 × 2 × 2 × 2 × 5
272 = 2 × 2 × 2 × 2 × 17

80 and 272 share four 2s in common.

Multiply them together to get the GCF: 2 × 2 × 2 × 2 = 16.

Therefore, 16 is the GCF of 80 and 272.

Divide the numerator and the denominator by the found GCF:

$\implies \sf \dfrac{80 \div 16}{272 \div 16}=\dfrac{5}{17}$

5 0

1 year ago

Read 2 more answers

Use the law of wines to find the value of y. Round to the nearest Tenth

Eva8 [605]

Answer:

y ≈ 2.5

Step-by-step explanation:

Using the Sine rule in Δ XYZ

$\frac{sinZ}{XY}$ = $\frac{sinY}{XZ}$ , substitute values

$\frac{sin50}{2}$ = $\frac{sin75}{y}$ ( cross- multiply )

y sin50° = 2 sin75° ( divide both sides by sin50° )

y = $\frac{2sin75}{sin50}$ ≈ 2.5 ( to the nearest tenth )

4 0

3 years ago

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Sholpan [36]

Answer:

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keep your eyes one the ball

Step-by-step explanation:

8 0

3 years ago