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3 years ago

Evaluate the equation 2L+6=6L-10

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

Answer:

Step-by-step explanation:

2L + 6 = 6L - 10 Add 10 to both sides

2L + 6 + 10 = 6L Combine the left.

2L + 16 = 6L Subtract 2L from both sides

16 = 6L + 2L Combine the right

16 = 8L Divide by 8

8L = 16

8L/8 = 16/8

L = 2

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Consider the exponential function f ( x ) = 13 , 500 ⋅ 0.89^x, which models the value of Mikayla's scooter, where x represents t

Elden [556K]

Answer: $8470

Step-by-step explanation:

To solve this, you can substitute 4 for x:

$f(x) = 13500*.89^4\\f(x) = 13500*0.6274\\f(x) = 8470$

Mikayla's scooter is worth around $8470 after 4 years.

It was originally worth 13,500 dollars and depreciated by 11% every year.

7 0

3 years ago

Find 1/4+13/20 . Write your answer as a fraction in simplest form.

jek_recluse [69]

The LCD here is 20. Thus, 1/4 = 5/20. The sum of 5/20 and 13/20 is 18/20, which can be reduced to 9/10.

4 0

3 years ago

Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The

andreev551 [17]

Both cylinder are similar
Volume of a cylinder is πr^2h
if we consider both has same radius as they are similar
Lets say V1 is volume of small cylinder and V2 is volume of big cylinder.
V1/V2=πr^2x5/πr^2xh
125/343=5/h
0.36=5/h
h=5/0.36
h=13.72 ft

6 0

3 years ago

Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?

d1i1m1o1n [39]

Answer:

2 1/5

Step-by-step explanation:

2 3/4 divided by 1 2/4=2 1/5

6 0

3 years ago

An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est

MrRa [10]

Answer:

85% level of the confidence interval is

(26.337, 26.662)

Step-by-step explanation:

Explanation:-

Given the size of the sample 'n' = 295

Mean of the sample x⁻ = 26.5

The Standard deviation of the Population = 2.7

85% level of the confidence interval is determined by

$(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })$

Critical value Z₀.₁₅ = 1.036

85% level of the confidence interval is determined by

$(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })$

$(26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })$

( 26.5 - 0.1628 , 26.5+0.1628)

(26.3372,26.6628)

7 0

3 years ago