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3 years ago

Tina is ordering a pair of shoes that cost $123.99. If the sales tax is 8% and the shipping is $19.99, what is the total cost?

Mathematics

2 answers:

Rzqust [24]3 years ago

5 0

Answer:

$153.90.

Step-by-step explanation:

We have been given that Tina is ordering a pair of shoes that cost $123.99. The sales tax is 8% and the shipping is $19.99. We are asked to find the total cost of the shoes.

Let us find 8% of $123.99 as:

$\text{Sales tax}=\$123.99\times \frac{8}{100}$

$\text{Sales tax}=\$123.99\times 0.08$

$\text{Sales tax}=\$9.9192$

Total cost of shoes would be original cost plus sales tax plus shipping charges.

$\text{Total cost of shoes}=\$123.99+\$9.9192+\$19.99$

$\text{Total cost of shoes}=\$153.8992$

$\text{Total cost of shoes}\approx \$153.90$

Therefore, the total cost of shoes would be approximately $153.90.

maksim [4K]3 years ago

4 0

First you want to times 123.99 * 0.08
now round what you get (9.9192) to (9.92)
add that to 123.99 and then add 19.99 (Shipping)
The answer is $153.90

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3 years ago

Matt and his siblings bought their mom her favorite perfume for her birthday. They gave the cashier $80. The cashier gave them b

seropon [69]

Answer:

$64.15

Step-by-step explanation:

to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.

it is given that:

they gave the cashier $80.

the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)

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3 years ago

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

dezoksy [38]

Answer:

20*s+30*l = 280

4*s=l

Step-by-step explanation:

Let's say that the number of small boxes is s and the number of large boxes is l. Then, 20*s equals the amount of books in small boxes (as there are 20 books per small box), and 30*l for the amount of books in large boxes. Then, we know that 4 times the amount of small boxes, s, equals l, so 4*s=l. Then, as we know that the amount of books that can be held is 280, we can add the amount of books for each type of box, or 20*s+30*l, to get 280. Our equations are as follows:

20*s+30*l = 280

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As we can define l in terms of s, making it so that we can limit the top equation to 1 variable, we can use this to determine the number of each type of box

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3 years ago

Bert didn't finish 1/8 of the problems on a math test he made Mistakes on 1/6 of the problems the rest he answered correctly wha

Viefleur [7K]

Answer:

The fraction of the problems did he answer correctly is $(\frac{35}{48})$

Step-by-step explanation:

Here, let us assume the total number of problems in the test = p

Now, Bert did not finish 1/8 of the problems.

⇒The number of unfinished problems by Bert = $\frac{1}{8} \times p= \frac{p}{8}$

Also, the number of finished problems

= Total problems - Unfinished problems

$= p - \frac{p}{8} = \frac{7p}{8}$

Now, again 1/6 of the total finished problems had mistakes.

So, the number of problems with mistakes = $\frac{1}{6} \times \frac{7p}{8} = \frac{7p}{48}$

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$= \frac{7p}{8} - \frac{7p}{48} = \frac{(42 - 7)p}{48} = \frac{35}{48}p$

Hence, the fraction of the problems did he answer correctly is $(\frac{35}{48})$

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3 years ago

Write the equation of the circle by completing the square.<br><br> x'2 + 4x + y'2 - 2y = 20

evablogger [386]

$\bf \textit{let's start by grouping}
\\\\\\
x^2+4x+y^2-2y=20\implies (x^2+4x)+(y^2-2y)=20
\\\\\\
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now, recall $\bf \begin{array}{cccccllllll}
{{ a}}^2& + &2{{ a}}{{ b}}&+&{{ b}}^2\\
\downarrow && &&\downarrow \\
{{ a}}&& &&{{ b}}\\
&\to &({{ a}} + {{ b}})^2&\leftarrow 
\end{array}\qquad 
% perfect square trinomial, negative middle term
\begin{array}{cccccllllll}
{{ a}}^2& - &2{{ a}}{{ b}}&+&{{ b}}^2\\
\downarrow && &&\downarrow \\
{{ a}}&& &&{{ b}}\\
&\to &({{ a}} - {{ b}})^2&\leftarrow 
\end{array}$

so.. the middle term of a perfect square trinomial, is really 2 * the other 2 guys

so hmm we can say 2 * x * ? = 4x, thus 2x * ? = 4x, thus cross-multiplying
? = 2

now, for the other, 2 * y * ? = 2y, thus 2y* ? = 2y thus ? = 1

so our guys are 2 and 1

now, bear in mind, all we're doing, is borrowing from our very good friend Mr Zero, 0, so, if we add whatever, we also have to subtract whatever

thus $\bf (x^2+4x+2^2)+(y^2-2y+1^2)-1^2-2^2=20
\\\\\\(x^2+4x+4)+(y^2-2y+1)-5=20\\\\\\ \boxed{(x+2)^2+(y-1)^2=25}\\\\
-----------------------------\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad center\ ({{ h}},{{ k}})\qquad
radius={{ r}}\\\\
-----------------------------\\\\
(x-(-2))^2+(y-1)^2=5^2\qquad center\ (-2,1)\qquad radius=5$

4 0

3 years ago