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2 years ago

Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain.

Mathematics

2 answers:

GaryK [48]2 years ago

7 0

The spot on correct answer for this is....

Identify the system of equations that can be graphed to solve the problem.

Use the change of base formula.

Determine that the graphs of the two equations do not intersect.

Determine that Elsa is correct; the equation has no solution.

Vlad [161]2 years ago

3 0

Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.

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At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st

EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = $\frac{609}{58} = 10.5$

Checking for ratios of the given options:

A. $\frac{483}{42} =11.5$

B. $\frac{378}{28} =13.5$

C. $\frac{504}{48} =10.5$

D. $\frac{560}{56} =10$

E. $\frac{315}{30} =10.5$

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0

1 year ago

Read 2 more answers

Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s

lions [1.4K]

What kind of soup needs milk? I don't know any...

anyway, the amount of the liquid at the end was 2 5/8 and milk was 1 1/3 - we need to substract the amount of milk from the amount of total liquid afterwards:

$2 \frac{5}{8} -1 \frac{1}{3}$
bring the fraction to the same form:
$2 \frac{15}{24} -1 \frac{8}{24}$

substracting:

$1 \frac{7}{24}}$

which is also the answer

7 0

1 year ago

How do you break apart the factor 42 using place value?

worty [1.4K]

Hey there!☺

Let's break apart 42.

The 4 is in the tens. The 2 is in the ones.

Place Value starting from Thousands

Thousands Hundreds Tens Ones

_________ ________ ____ _____

4 2

So this is how we break up numbers using place value.

Hope this helps!

6 0

1 year ago

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s

devlian [24]

Answer:

8 inches

Step-by-step explanation:

The surface area of a cone (without the base) is given by:

Surface area = pi*r*s

Where r is the base radius and s is the slant height.

The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:

41.6pi = pi*r*s

41.6 = 6.4s

s = 6.5 in

If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:

r'/s' = r/s = 6.4/6.5

s' = r'*6.5/6.4

So for the larger cone, we have:

65pi = pi*r'*s'

65 = r'*r'*6.5/6.4

r'^2 = 64

r' = 8 inches

5 0

2 years ago

Read 2 more answers

We told Gavin not to run, but he did so anyway. He took 18 steps from second base, got

melamori03 [73]

Answer:

40 steps from 2nd to 3rd base

Step-by-step explanation:

18 - 7 + 3 - 5 + 11 = 20, which is halfway, so double that to get to 3rd base.

8 0

1 year ago