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ivanzaharov [21]

3 years ago

11

HELP FAST!!! Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a

6% sales tax on the discounted price.
What is the total amount Ellen will pay for the book?
Enter your answer in the box.

1 answer:

vova2212 [387]3 years ago

5 0

The total amount Ellen paid for the book $16.21
Hope this helps!!

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ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

<em>See the image in the attachment for the referred diagram.</em>

<em />

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

<u>b. </u><u>Find the length of </u><u>AB:</u>

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

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3 0

2 years ago

Q15. Ken earned x dollars at his part-time job on Friday. His wife earned $12 more

mafiozo [28]

Ken earns 54 dollars at his part-time job on Friday

Given that Total amount earned by ken and his wife at their part-time job on Friday= $174

Money earned by ken= x dollars

Money earned by ken's wife = (2x+12) dollars

Total amount earned by ken and his wife at their part-time job on Friday= x dollars + (2x+12) dollars

(x + 2x + 12 ) dollars = $ 174 ( addition of ken and ken's wife income and total amount earned by ken and his wife at their part-time job on Friday is $174)

(3x + 12 ) dollars = $ 174

3x=$162

x= $\frac{162}{3}$

x= 54 dollars

Therefore,54 dollars were earned by ken at his part-time job on Friday

Hence,Ken earns 54 dollars at his part-time job on Friday

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4 0

1 year ago

the graph shows the equation x^2+y^2=5 use the slider for a to move the vertical line on the graph based on the vertical line te

SSSSS [86.1K]

Answer:

Not a function.

Step-by-step explanation:

The vertical line touches the graph at more than one point at once.

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1 year ago

In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?

BartSMP [9]

Answer:

It's 39/89

Step-by-step explanation:

cos X = adjacent/ hypotenuse = 39/89

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2 years ago

N0 If n=143 what is the answer a b or c

den301095 [7]

Answer:

C

Step-by-step explanation:

Well, anything multiplied by zero is zero.

If you multiplied 0 by 143, you wouldn't get anything because you're not multiplying with another number that can be multiplied by.

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3 years ago

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