A toy store marks down every toy by 15% in June .how much does a toy cost during June

Answers

Answer 1

Answer:

Answer:

15% less than its regular price

Step-by-step explanation:

If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)

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Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?a.54.00 in2B)113.10 in2C)169.65 in2D)339.29 in2

Answers

The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is $AL= ( \beta )/(360) *2 \pi r$ . Notice the "2*pi*r" which is the circumference formula. The area of a sector is $A s= ( \beta )/(360) * \pi r ^(2)$ . Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly, $6 \pi = ( \beta )/(360) *2 \pi (18)$ . Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly, $A_(s) = (60)/(360) * \pi (18) ^(2)$ , and $A_(s) =54 \pi$ . When you multiply in the value of pi, you get that your area is 169.65 in squared.

A fish tank at a pet store has 8 zebra fish. in how many different ways can Nikki choose 3 zebra fish? A.512 B. 336 C. 24 D. 56 I got 24 is it right?

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56 is the answer because
8*7*6/3*2

PLEASEEE HELP. Solve x^3-7x^2+6x-42=0

Answers

factor by grouping

x^2(x-7) + 6(x-7) = 0 [took x^2 out of the first two and a 6 out of the last two]
(x-7)(x^2+6) = 0 [moved (x-7) out to the front]
x = -i sqrt(6) , i sqrt(6) , 7

only one real solution of x = 7

$x^(3) -7 x^(2) +6x-42=0$

$(x-7)$ is a factor since it is a factor of -42 and 7 is a solution for f(x) to equal 0.

$(x-7)(a x^(2) +bx+c)=0$

$(x-7)( x^(2) +bx+6)=0$

$-7 x^(2) +b x^(2) =-7 x^(2)$

$-7+b=-7$

$b=0$

$(x-7)( x^(2) +6)=0$

$x-7=0$

$x^(2) +6=0$

$x=7$ (only solution because you can't square root (-6))

You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-price tax you can pay without going over budget? is it A. $97.68 B. 100.00 C. 105.05 D. 111.11

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You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-tax price you can pay without going over budget?8% of 120 is 110.4

What is 70/6 as a mixed number

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70/6 is basically saying "divide 70 by 6". So to get to a mixed numer, thats what you have to do.

70/6=11.666666...
(.666666..... is 2/3 as a fraction)

The answer is 11 2/3.

hope i helped!! :))

11 4/6 because 6 can go into 70 11 times and its just 4/6 so 11 4/6

Find the simplified form of the expression. Give your answer in scientific notation.(9x10^5)(6x10^-7)

Answers

5.4*10^-1

that's the answer in scientific notation

I would say the simplified form would be 20×10^-7

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