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2 years ago

I'm so sorry for asking about this, I know I know how to solve this, but my mind keeps pulling a blank, please help!

Mathematics

1 answer:

cricket20 [7]2 years ago

5 0

Answer:

add like terms

y=-3+1x-y=6

ok, umm 3 times 2= 6 right? don’t know why there are two = signs try plus -y to positive y and that would give you

y=-3+1x+6

i hate trying to solve these algebraically

hope this got you somewhere

Step-by-step explanation:

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

How many 1/8-pound patties can Mrs. Drake make from 7/8 of a pound of a hamburger?

GenaCL600 [577]

Mrs.Drake can make 7 1/8-pound patties.

5 0

2 years ago

Oliwia made a scaled copy of the following triangle. She used a scale factor greater than 111. What could be the height of the s

GaryK [48]

Answer:

c,d,e

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Thursday. There were fewer cheeseburgers sold th

myrzilka [38]

Answer:

the number of hamburgers sold on Thursday were 325.

Step-by-step explanation:

The total number of hamburger and cheese burger is missing

i will replace it with any figure, you can replace it wit your given data and you will get the solution.

A local hamburger shop sold a combined total of 593 hamburgers and cheeseburgers on Thursday

There were 57 fewer cheeseburgers sold than hamburgers

How many hamburgers were sold on thursday

Let h be the number of hamburgers and c be the number of cheeseburgers.

Using this information we can set up two equation as:

$h+c=593\\c=h-57$

Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:

$h+h-57=593\\2h-57=593\\2h=650\\h=325$

Therefore, the number of hamburgers sold on Thursday were 325.

6 0

3 years ago

What is the answer to this problem?

Vladimir [108]

Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3

we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)

7 0

3 years ago