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2 years ago

I hope my teachers dont find this and sus me out im just making sure im right

Mathematics

2 answers:

pshichka [43]2 years ago

5 0

Answer:

The answer would be option D

Step-by-step explanation:

Hope this helped! Can I please have brainliest?

pochemuha2 years ago

4 0

Answer:its 22.5

Step-by-step explanation:

You might be interested in

Bill wants to rent a car. Rental Company A charges $35 per day plus $0.10 per mile driven. Rental Company B charges $25 per day

vova2212 [387]

After 300 miles.

35+0.1x= 25+0.15x

<u> -0.1x -.01x</u> (0.1- 0.1 crosses out)

35= 25+0.15x

<u> -25 -25 </u> (25- 25 crosses out)

15= 0.15x

15/0.15= 0.15x/0.15 (crosses out)

300= x

6 0

2 years ago

What is the expansion of (3+x)^4

Vlad1618 [11]

Answer:

$\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81$

Step-by-step explanation:

Considering the expression

$\left(3+x\right)^4$

Lets determine the expansion of the expression

$\left(3+x\right)^4$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

$a=3,\:\:b=x$

$=\sum _{i=0}^4\binom{4}{i}\cdot \:3^{\left(4-i\right)}x^i$

Expanding summation

$\binom{n}{i}=\frac{n!}{i!\left(n-i\right)!}$

$i=0\quad :\quad \frac{4!}{0!\left(4-0\right)!}3^4x^0$

$i=1\quad :\quad \frac{4!}{1!\left(4-1\right)!}3^3x^1$

$i=2\quad :\quad \frac{4!}{2!\left(4-2\right)!}3^2x^2$

$i=3\quad :\quad \frac{4!}{3!\left(4-3\right)!}3^1x^3$

$i=4\quad :\quad \frac{4!}{4!\left(4-4\right)!}3^0x^4$

$=\frac{4!}{0!\left(4-0\right)!}\cdot \:3^4x^0+\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1+\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2+\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3+\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4$

$\frac{4!}{0!\left(4-0\right)!}\cdot \:\:3^4x^0:\:\:\:\:\:\:81$

$\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1:\quad 108x$

$\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2:\quad 54x^2$

$\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3:\quad 12x^3$

$\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4:\quad x^4$

so equation becomes

$=81+108x+54x^2+12x^3+x^4$

$=x^4+12x^3+54x^2+108x+81$

Therefore,

$\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81$

6 0

3 years ago

Four less than the product of 7 and a number is equal to 8 Use the variable b for unknown number

Akimi4 [234]

Answer:12/7

Step-by-step explanation:

7b-4=8

7b-4+4=8+4

7b=12

b=12/7

3 0

2 years ago

Amy jogs 1/3 of a mile in 1/15 of an hour, while john takes 1/30 of an hour to jog 1/5 of a mile. If they continue at this rate,

jolli1 [7]

Step-by-step explanation:

Given that,

Amy jogs 1/3 of a mile in 1/15 of an hour and john takes 1/30 of an hour to jog 1/5 of a mile.

Speed of Amy,

$v_1=\dfrac{\dfrac{1}{3}\ miles }{\dfrac{1}{15}\ h}=5\ mph$

Speed of John,

$v_2=\dfrac{\dfrac{1}{5}\ miles }{\dfrac{1}{30}\ h}=6\ mph$

John will jog farther in one hour as he is moving with faster speed. The speed of John is 1 mph more than Amy.

6 0

2 years ago

A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for 1 cup of flour?

Marysya12 [62]

2.5 or 2 1/2................

4 0

3 years ago