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3 years ago

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1. Dante is driving 638 miles to his cousin. His car has 12-gallon tank and goes 22 miles for every gallon of gasoline.

1 answer:

Pani-rosa [81]3 years ago

5 0

To find out how many miles Dante can drive with a full tank of gas, multiply 12 by 22. You will get 264, which is how many miles Dante can drive with a full tank of gas. If you divide 638, the total length of the trip, by 264, the answer is 2.41666. This means that it will take about 2 and a half full tanks of gasoline to get to his cousin. Since he started with a full tank, Dante will have to stop twice to completely refill his tank. The second time he stops, he will only use about half of his tank.

The answer is 2 times, or twice.

Hope this helps :)

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1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x

Olin [163]

1.

$2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4$

The base can't be negative, therefore $x=3$ .

2.

$3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7$

3.

$2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7$

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2 years ago

5. Write each polynomial in standard form.<br> -X-9x² + 12

givi [52]

Answer:

-9x^2-x+12

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Hey, I'm on the same unit! -9x^2-x+12 is your answer.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

3 0

3 years ago

Written as a simplified polynomial in standard form, what is the result when

kompoz [17]

$2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\$

8 0

2 years ago

What is the sum of all of the perfect squares between

Nonamiya [84]

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

$S_{n}=\frac{n}{2}[2a+(n-1)d]$

Where n = number of terms

a = first term of the sequence

d = common difference

$S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]$

= 4(34 + 7)

= 164

Sum of 15 + $S_{8}$ = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = $41-179$

= -138

Therefore, answer is (-138).

7 0

3 years ago

Let z = 17. What is the value of 51 – z?

vivado [14]

You replace z with 17
51-17=34
the answer is 34

6 0

3 years ago

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