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3 years ago

When you multiply 2/3 by a fraction less than one, how does the product compare to the factor

1 answer:

3 0

The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.

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Find the value of each variable. Answer in simplest radical form.

Vlada [557]

Answer:

x = 5√3; y = 5

Step-by-step explanation:

Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:

sin 30° = 1/2 = y/10

Solve the equation of ratios

1 y

-- = ----- using cross-multiplication first: 2y = 10 → y = 5

2 10

We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:

x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75

If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3

Since lengths are always positive, take x = 5√3 as the answer.

8 0

3 years ago

Help?Find the product. (a - b)(a – 7b)

Kruka [31]

Answer:

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6 0

3 years ago

Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

The system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

Solution:

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

He needs to buy at least 20 candles

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

He can spend no more than 80 dollars

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

Thus, we frame a inequality as:

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

Thus the system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

3 years ago

CAN YALL PLS HELP !!!

JulijaS [17]

Answer:

the first step is wrong

it should be 4(x-4)/(x+1)(x-4) - (x+2)/(x-4)(x+1)

8 0

3 years ago

Answers ASAP plsssssss

ASHA 777 [7]

Answer:

Step-by-step explanation:the answer is option A as 1 • 3 =3 and 3+4=7

6 0

2 years ago