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3 years ago

Express this equation in logarithmic form. y = b^x

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

$log_{b}(y) = x$

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Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3 Eqn 1

10x+12y=70 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2;

$(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7$

Dividing both sides by 2

$\frac{2y}{2}=\frac{7}{2}\\y=3.5$

Putting y=3.5 in Eqn 1

$x+3.5=6.3\\x=6.3-3.5\\x=2.8$

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

#LearnwithBrainly

8 0

2 years ago

Which line shows the first error in the solution?

masha68 [24]

Answer:

Line 4

Step-by-step explanation:

6(x+2) = 24

6x+12=24

6x=12

x=2

8 0

3 years ago

Read 2 more answers

Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an

olga55 [171]

Your identity says ...

... sum of cubes = (sum)³ -3(product)(sum)

... = 4³ -3·1·4

... = 64 -12 = 52

_____

The two numbers are 2±√3, and the sum of their cubes is indeed 52.

3 0

2 years ago

Which set of ordered pairs don’t represent a function

babunello [35]

Answer:

The first multiple-choice doesn't represent a function

Step-by-step explanation:

(-4,3),(1,-6),(-8,-1),(1,9)

because a function has two pairs with the same x value

*hope that makes sense*

4 0

2 years ago

Help please pleassse

ASHA 777 [7]

Answer:

$n=\frac{8}{3}$ or $n = 2\frac{2}{3}$

Step-by-step explanation:

Multiply both sides of the equation by $\frac{10}{3}$

$(\frac{10}{3}) (\frac{3}{10})*n= (\frac{10}{3})(\frac{4}{5})$

Simplify both sides of the equation.

$n=\frac{8}{3}$ or $n = 2\frac{2}{3}$

<em>hope this helps :)</em>

7 0

3 years ago