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3 years ago

Translate the phrase into an algebraic expression.

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

The given phrase is

6 more than y .

And we have to put this in algebraic form .

For the phrase "more than", we use addition sign and for the phrase "less than", we use subtraction sign .

So for the given phrase " 6 more than y " , the required algebraic expression is

$y+6$

And that's the answer.

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Chelsea spent $26 on a magazine and some notepads. If the magazine cost $2 and each notepad cost $4, then how many notepads did

sesenic [268]

Answer:

Step-by-step explanation:

26-2=24 24/4=6

6 0

3 years ago

Read 2 more answers

Rationalize the denominator.

AlekseyPX

Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

⇒ to rationalize the denominator

⇒ rationalize means that you multiply the numerator and

demonimator by the denominator

Let's put that into action:

$\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }$ <== Answer

Hopefully that helps!

4 0

1 year ago

The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a ye

zloy xaker [14]

Answer:

Number of restaurant-purchased meals eaten in a restaurant = 70

Number of restaurant-purchased meals eaten in a car = 22

Number of restaurant-purchased meals eaten in a home = 60

Step-by-step explanation:

Let the number of people that will eat in a restaurant be R.

Let the number of people that will eat in a car be C.

Let the number of people that will eat in a home be H.

From the information given in the problem we have,

R+C+H = 152 ____equation (1)

C+H-R = 12 ____equation (2)

R = H+10 ____equation (3)

1) Plugging in R=H+10 from equation 3 into the equation 2, we get

C+H-R=12

=> C+H-(H+10)=12

=> C+H-H-10=12

2) Cancelling out +H and -H, we get

C-10=12

3) Add 10 to both sides

C-10+10=12+10

4) Cancelling out -10 and +10, we get

C=22

5) Plugin C=22 in equation 1, we have

R+C+H = 152

=> R+22+H=152

Subtract 22 from both sides,

R+22+H-22=152-22

Cancelling out +22 and -22 from the left side, we get

R+H=130 ____let it be equation (4)

6) Plugin C=22 in equation 2, we have

C+H-R = 12

22+H-R = 12

Subtracting 22 from both the sides, we get

22+H-R-22 = 12-22

Cancelling out +22 and -22 from the left side,

H-R = -10 ____let it be equation (5)

7) Adding equation 4 and equation 5, we get

(R+H)+(H-R) = 130 + (-10)

=> R+H+H-R = 130-10

8) Cancelling out R and -R from the left side, we get

2H = 120

9) Dividing both sides by 2, we get

$\frac{2H}{2} = \frac{120}{2}$

10) Cancelling out the 2's from the left side, we have

H=60

11) Plugging in C=22 and H=60 in the equation 1, we have

R+C+H = 152

=> R+22+60=152

=> R + 82 = 152

12) Subtracting 82 from both the sides, we get

R + 82 -82 = 152 -82

13) Cancelling out +82 and -82 from the left side, we get

R = 70

So, C=22, H=60, R=70

8 0

3 years ago

Estimate the answer to the following calculation

ryzh [129]

$\frac{7.4^2 +\sqrt{8.67}}{0.53} \approx \bold{108.876}\\$

3 0

3 years ago

Read 2 more answers

Which of the following is equivalent to f(x)?

Fynjy0 [20]

Answer:

D. $x^{-3/2}$

Step-by-step explanation:

Given function:

$f(x) = \frac{1}{x\sqrt{x} }$

Equivalent expression is:

$\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}$

Correct choice is D

6 0

2 years ago