Question 8 of 25

Wakaba buys some granola bars at $0.50 each and energy drinks at $2 each for a group hike. She buys twice as many granola bars a

Kazeer [188]

Answer: 9 energy drinks and 18 granola bars.

Step-by-step explanation:

Price per granola bar = $0.50

Price per energy drink = $2.

We can define G as the number of granola bars that she bought, and D as the number of drinks that she bought.

Then

"She buys twice as many granola bars as energy drinks."

G = 2*D

" If she spends $27 in total"

G*$0.50 + D*$2 = $27

So we have a system of equations:

G = 2*D

G*$0.50 + D*$2 = $27

The first step will be to replace the first equation into the second one, and solve it for D.

(2D)*$0.50 + D*$2 = $27

D*(2*$0.50) + D*$2 = $27

D*$1 + D*$2 = $27

D*$3 = $27

D = $27/$3 = 9.

So she bought 9 energy drinks, and we know that:

G = 2*D

G = 2*9 = 18

She bought 18 granola bars.

5 0

3 years ago

Find the distance between (2,3) and (-4,9). If you get a radical (square

9966 [12]

Answer:

Length is 6√2 units or 8.49 units

Step-by-step explanation:

Length formular:

$length = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y_{1})}^{2} }$

x1 is 2

x2 is -4

y1 is 3

y2 is 9

$length = \sqrt{ {( - 4 - 2)}^{2} + {(9 - 3)}^{2} } \\ \\ = \sqrt{ {( - 6)}^{2} + {6}^{2} } \\ \\ = \sqrt{36 + 36} \\ = \sqrt{2 \times 36} \\ = \sqrt{2} \times \sqrt{36} \\ { \boxed{ \boxed{= 6 \sqrt{2} }}} \\ = 8.49 \: units$

8 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

Help me answer this plz I really need help

expeople1 [14]

Answer:

Answer E. is correct

Step-by-step explanation:

b = 3 * c --> c = 1/3 * b

c + 3 = 1/3 * b + 3 --> E.

4 0

4 years ago

Read 2 more answers

PLEAZE HELP WILL MARK BRAINLIEST Find the value of x: 24 + 1/2x = 50.

s344n2d4d5 [400]

Answer:

52

Step-by-step explanation:

Subtract 50 on both sides, then divide by .5 to find x

3 0

3 years ago

Read 2 more answers