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Elena-2011 [213]

3 years ago

15

Robert is purchasing some packs of chicken from the supermarket. The first pack weights 45 ounces . The second pack weights 3 po

unds . Witch pack weights more

2 answers:

blagie [28]3 years ago

8 0

Answer:

3 pounds duh

Step-by-step explanation:

julia-pushkina [17]3 years ago

3 0

Answer: 3 pounds

Step-by-step explanation: 16 oz are in 1 pound and 1 pound times 3 = 3 pounds and 16 times 3 equals 48 and the pack weighs 45 oz therefore 3 pounds is heavier by 3 oz

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What is the inverse of this function?

Andreas93 [3]

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

-2y = sqrt(x + 3)

4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

so, again, the full answer is

f^-1(x) = 4x² - 3, x <= 0

8 0

2 years ago

Which of the following expressions represents "no more than 5"?

777dan777 [17]

Answer:

Ox>5

x is less than 5

means nothing more than 5 but anything less than 5

5 0

3 years ago

One number is 3 less than 5 times another number. The sum of the numbers is 27. What are the two numbers? Enter your answers in

kaheart [24]

x ,y are the numbers

x = 5y-3

x+y = 27

substitute first equation into the second

(5y-3) +y =27

combine like terms

6y-3=27

add 3 to each side

6y=30

divide by 6

y=5

x = 5y-3

x=5*5-3

x=22

the two numbers are 22 and 5

5 0

3 years ago

Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

3 years ago

Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24

CaHeK987 [17]

Answer:

Her daughter is <u>3 years</u> old now.

Step-by-step explanation:

Given:

Five years from now, the sum of the ages of a women and her daughter will be 40 years.

The difference in their present age is 24 years.

Now, to find how old is her daughter now.

Let the age of daughter be $x\ years$ .

And the age of mother be $y\ years$ .

According to question:

$(x+5)+(y+5)=40$

⇒ $x+y+10=40$

<em>Subtracting both sides by 10 we get:</em>

⇒ $x+y=30$

⇒ $x=30-y$ ............( 1 )

Now, as given in question:

The difference in their present ages is 24 years.

$x-y=24$

Putting the equation ( 1 ) in the place of $x$ we get:

⇒ $(30-y)-y=24$

⇒ $30-2y=24$

<em>Moving variable on one side and the numbers on the other:</em>

⇒ $30+24=2y$

⇒ $54=2y$

<em>Dividing both sides by 2 we get:</em>

⇒ $27=y$

So, <em>the age of the mother is 27 years.</em>

Now, putting the value of $y$ in equation( 1 ) we get:

$x=30-27$

⇒ $x=3$

<em>The age of daughter is 3 years.</em>

Therefore, her daughter is 3 years old now.

4 0

3 years ago