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3 years ago

You and a friend go to McDonalds for dinner. You order three burgers and three

Mathematics

2 answers:

lana [24]3 years ago

7 0

Answer:

answer would be 1.25 because we no that the bugers are 10$

DiKsa [7]3 years ago

5 0

Answer:

Burger cost $1.25

Chicken Sandwich $2.5

Step-by-step explanation:

me 3b+3c=11.25

friend 4b+2c=10

simplify the equation

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Rationalise the denominator of:<br>(3√2 - 2√3)/(√8 + √27)

ANTONII [103]

Step-by-step explanation:

$\large{ \sf \underline{Solution - }}$

$\sf To \: rationalise \: = \: \dfrac{3 \sqrt{2} - 2 \sqrt{3}}{\sqrt{8} + \sqrt{27} }$

$\sf \dashrightarrow \dfrac{3 \sqrt{2} - 2 \sqrt{3}}{2 \sqrt{2} + 3 \sqrt{3} }$

$\sf \dashrightarrow \dfrac{3 \sqrt{2} - 2 \sqrt{3}}{2 \sqrt{2} + 3 \sqrt{3} } \times \dfrac{2 \sqrt{2} - 3 \sqrt{3}}{2 \sqrt{2} - 3 \sqrt{3}}$

$\sf Combine \: the \: fractions,$

$\sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{(2 \sqrt{2} + 3 \sqrt{3} )(2 \sqrt{2} - 3 \sqrt{3})}$

$\sf \underline{Solving \: denominator} ,$

$\sf We \: know \: that,$

$\sf \dashrightarrow \boxed{ \tt (a + b)(a - b) = a^{2} - b ^{2}}$

$\bf So ,$

$\sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{(2 \sqrt{2})^{2} - (3 \sqrt{3} )^{2} }$

$\sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{8 - 27 }$

$\sf \dashrightarrow \dfrac{(3 \sqrt{2} - 2 \sqrt{3})(2 \sqrt{2} - 3 \sqrt{3})}{ - 19 }$

$\sf \underline{Solving \: numerator},$

$\sf \dashrightarrow \dfrac{3 \sqrt{2} (2 \sqrt{2} - 3 \sqrt{3})- 2 \sqrt{3}(2 \sqrt{2} - 3 \sqrt{3})}{ - 19 }$

$\sf \dashrightarrow \dfrac{12 - 9 \sqrt{6} - 4 \sqrt{6} + 18}{ - 19 }$

$\sf \dashrightarrow \dfrac{30 - 13 \sqrt{6} }{ - 19 }$

$\sf \dashrightarrow - \dfrac{30 - 13 \sqrt{6} }{ 19 }$

$\bf Hence,$

$\sf On \: rationalising \: we \: got,$

$\bf \dashrightarrow - \dfrac{30 - 13 \sqrt{6} }{ 19 }$

4 0

3 years ago

Joseph drives 125 miles in 2 1/2 hours . at that rate , how far does he travel each hour?

AlexFokin [52]

If he drives 125 miles in 2 1/2 hours, he will drive 125 ÷ 2 1/2 miles per hour.

125 ÷ 2 1/2 = 50 miles

answer: 50 miles per hour

6 0

3 years ago

6 · 14 - (9 + 8)2 =

djverab [1.8K]

Answer: 50

Step-by-step explanation:

84−(9+8)(2)

=84−(17)(2)

=84−34

=50

6 0

3 years ago

Read 2 more answers

Please I Need Help :(

MArishka [77]

Answer:

D, 9^4 * 8^4

Step-by-step explanation:

The rule is whenever you have multiplication inside arentheses and it is raised to a power, you distribute the power to both the number s and solve.

I confirmed D is right on a calculator also.

7 0

3 years ago

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The bear population increases at a rate of 2% each year. There are 1573 bears this year. Which function models the bear populati

Sav [38]

That is 1573*1.02^n

where n is the number of years
so there will be about 1604 bears next year and 1573*1.02^2 = 1637 the following year.

5 0

3 years ago

Read 2 more answers