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3 years ago

Change the fraction to an equivalent fraction using multiplication.

Mathematics

2 answers:

sashaice [31]3 years ago

5 0

Answer:

$\frac{5}{7\\}$ * $\frac{3}{3}$ = $\frac{15}{21}$

Step-by-step explanation:

To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.

anygoal [31]3 years ago

3 0

Answer:

a0 - 15

Step-by-step explanation:

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Find the circumference and the area of a circle with diameter 8.

satela [25.4K]

Answer:

Area = 50.24 units²

Circumference = 25.12 units

Step-by-step explanation:

Circumference $= 2\pi r$

$=\pi d$

$=3.14\times 8$

$=25.12$

Area $= \pi r^2$

$r = 8\div2$

$=4$

Area $= 3.14\times4^2$

$=50.24$

∴ The circumference of the circle is 25.12 units, and the area of the circle is 50.24 units²

Hope this helps :)

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3 years ago

The operations manager of a mail order house purchases double (D) and twin (T) beds for resale. Each double bed costs $500 and r

Vlad [161]

Answer:

The weekly profit when ordering the optimal amounts is $42,000

Step-by-step explanation:

Cost of one double bed = $500, storage space of one double bed = 100 cubic feet

Cost of one twin bed = $300, storage space of one twin bed = 90 cubic feet

Capital for the week = $75,000

Storage capacity of warehouse = 18,000 cubic feet

Profit for each double bed = $300

Profit for each twin bed = $150

Since the capital for the week is $75,000 and the storage capacity of the warehouse is 18,000 cubic feet, the optimal amounts the operations manager can order is 90 double bed and 100 twin bed

Cost of ordering 90 double bed = 90 × $500 = $45,000

Storage space = 90 × 100 cubic feet = 9000 cubic feet

Cost of ordering 100 twin bed = 100 × $300 = $30,000

Storage space = 100 × 90 cubic feet = 9,000 cubic feet

Total cost = $45,000 + $30,000 = $75,000

Total storage space = 9,000 cubic feet + 9,000 cubic feet = 18,000

Therefore, weekly profit = (90 ×$300) + (100 × $150) = ($27,000 + $15,000) = $42,000

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3 years ago

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3 years ago

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

ivanzaharov [21]

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

<h3>How to simplify Trigonometric Functions?</h3>

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

Read more about Trigonometric functions at; brainly.com/question/6904750

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2 years ago