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3 years ago

At the IGA, a 3 lb bag of apples costs $3.54. What is the unit rate for the 3 lb bag?

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Answer:

1.18 per pound

Step-by-step explanation:

3 pounds/3.54 = 1 pound / x Cross multiply

3*x = 3.54 * 1 Divide by 3

x = 3.54/3

x = 1.18 per pound

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Select all possible values for x in the equation x^3=375?

Helga [31]

<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

To solve the problem, we need to remember the following properties of the exponents and roots:

$a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}$

Then, we are given the expression:

$x^{3}=375$

So, finding "x", we have:

$x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}$

Hence, the possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

Have a nice day!

7 0

4 years ago

In the number 707B47.B is a prime number.If the number is rounder off to 3sf its value is 708000 what is the biggest value of B

zhenek [66]

<h3>Answer: 7</h3>

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

7 0

3 years ago

Help geometry what I m jlf <br> Picture provided

Zolol [24]

Answer:

$\angle\,JLF = 114^o$ which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from $180^o$ , since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as $90^o$ and $138^o$ . (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : $360^o-90^o-138^o=132^o$

Therefore, the two equal acute angles in the triangle JOH should add to:

$180^o-132^o=48^o$ resulting then in each small acute angle of measure $24^o$ .

Now referring to the green sided right angle triangle we can find find angle JLG, using: $180^o-24^o-90^o=66^o$

Finally, the requested measure of angle JLF is obtained via: $180^o-66^o=114^o$

4 0

3 years ago

Which pair of angles are supplementary?

PolarNik [594]

Answer: H

Step-by-step explanation:

Supplementary angles just mean they add up to 180 degrees. 180 degrees means that when the two angles are put together one of each of their sides will form a straight line.

6 0

3 years ago

The population of deer in a state park in 1985 was 46,000. The population in 1990 was 72,000. What is the rate of change of the

Vesnalui [34]

Answer:

5200 deer/year

Step-by-step explanation:

$rateofchange=changeinpopulation \div changeinyears$
we will call the rate of change, the slope of the function
$slope=(72000-46000)deer\div (1990-1985)years\\=26000deer\div 5years\\=(\frac{26000}{5}) deer/year\\==5200deer/year$

3 0

3 years ago

At the IGA, a 3 lb bag of apples costs $3.54. What is the unit rate for the 3 lb bag?​

At the IGA, a 3 lb bag of apples costs $3.54. What is the unit rate for the 3 lb bag?