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3 years ago

Which expression is a factor of 4ab + 4a − 3b − 3?

1 answer:

7 0

<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)

(b+1) and (4a - 3) are factors

answer
</span><span>4a − 3</span>

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A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent

grin007 [14]

Answer:

200 miles

Step-by-step explanation:

<u>Company A</u>

Daily charge = $130
Per mile = $0.20
x miles per day = 130 + 0.2x

<u>Company B</u>

Daily charge = $50
Per mile = $0.60
x miles per day = 50 + 0.6x

<u>Assume x miles that makes same amount for both options, then:</u>

130 + 0.2x = 50 + 0.6x
0.6x - 0.2x = 130 - 50
0.4x = 80
x = 80/0.4
x = 200 miles

3 0

3 years ago

(6+√25)/(4-√3) can be written in the form of (2+s√3)/13 where r and s are both integers what are the values of r and s

cestrela7 [59]

Answer:

r = 33

s = 18

Step-by-step explanation:

Given expression is $\frac{6+\sqrt{27}}{4-\sqrt{3}}$ .

Multiply numerator and denominator with the conjugate of (4 - √3).

$\frac{(6+\sqrt{27})(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}$

= $\frac{4(6+\sqrt{27})+\sqrt{3}(6+\sqrt{27})}{4^{2}-(\sqrt{3})^2}$

= $\frac{24+4\sqrt{27}+6\sqrt{3}+\sqrt{81})}{16-3}$

= $\frac{24+12\sqrt{3}+6\sqrt{3}+\sqrt{81})}{16-3}$

= $\frac{24+18\sqrt{3}+9}{13}$

= $\frac{33+18\sqrt{3}}{13}$

Now compare this expression with $\frac{r+s\sqrt{3} }{13}$

r = 33

s = 18

3 0

3 years ago

Faliha runs around a square field of side 70m, while Rameen runs around a rectangular field with length 90m and breadth 60m. Who

inn [45]

$\huge\sf\green{Answer :- }$

<h2>Given :- </h2><h2 />

Side of the square field = 70m

Length of the rectangular field = 90m

Breadth of the rectangular field = 60m

Perimeter of the square field

Perimeter of the rectangular field

<h2>Solution :-</h2>

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

<h3><u>Hence, </u><u>Faliha</u><u> runs 280m around a Square </u><u>field</u></h3>

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

<h3><u>Hence, Rameen runs 300m around a rectangular field</u></h3>

By comparing perimeters, Rameen runs more than Faliha

Distance runs more by rameen = Distance covered by rameen - distance covered by faliha

By substituting values,

⇒ 300m - 280m

➠ 20m

<h3><u>Hence, </u><u>Rameen</u><u> runs more around a rectangular field by 20</u><u>m</u></h3>

<u> $\huge\sf\fcolorbox{red}{pink}{ItzDevilGirl}$ </u>

7 0

3 years ago

(-3) + (+1) =<br> steps of solving

viktelen [127]

Answer:

-2

Step-by-step explanation:

Opening brackets,

-3+1=-2

3 0

3 years ago

Read 2 more answers

GIVING BRAINLESS HELP!!

aliina [53]

Jessica bought 2.25 yards more material than Derek. Hope this helped!

4 0

3 years ago