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2 years ago

F+ 20 = -1 Solve the equation and check your solution

Mathematics

1 answer:

Leona [35]2 years ago

6 0

Answer:

f=-21

Step-by-step explanation:

-21+20=-1

f has to be a negative number as the answer is negative and -21 is the only plug in that would make sence as the answer is negative one.

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What is the 18th term of the arithmetic

Irina18 [472]

Answer:

-66

Step-by-step explanation:

a1 = 2

n = 18

d = - 4

a18 = a1 + (n - 1) * d

a18 = 2 + (18 - 1)*(-4)

a18 = 2 + 17*-4

a18 = 2 - 68

a18 = -66

3 0

3 years ago

Hi! Can someone please help me with this math problem? Please show your work on how you got your answer. Thank you!

SVEN [57.7K]

Answer:

5=p

Step-by-step explanation:

18=3.50+2.75P

18-3.50=2.75p

14.5/2.75=2.75p/2.75

5=p

she can buy 5 popcorn

5 0

2 years ago

What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio

aalyn [17]

Answer:

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}$

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

(a^b)^c = a^(bc)

So the expression simplifies as ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}$

9 0

2 years ago

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

2 years ago

An identification code is to consist of 2 letters followed by 3 digits. how many different codes are possible if repetition is p

Vedmedyk [2.9K]

I like the 'question mark' at the end:

26 letters (English), 10 digits (0,1,...9)

26*26*10*10*10 = 676000

Now, this was for LLDDD (Letter Letter Digit Digit Digit)

It seems this is the order they want. Other wise, one should multiply by all the combinations in the order: LDLDD, DLLDD, etc ... (10 combinations), but again it seems they want this LLDDD

So 676000

5 0

3 years ago