The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?

SHOW WORK PLEASE AND THANKYOU
and be quick please

You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.

Answer:

x=6?

Step-by-step explanation:

I think it's this answer im not sure

Answer:

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]

The area of the entire surface of the solid given is 94 units².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular prism.

It consists of 3 pairs of identical rectangular sides.

Area of a rectangle = length × width

Find the area of each rectangular sides to find the total area.

Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)

                 = 15 + 15 + 20 + 20 + 12 + 12

                 = 94 units²

Hence the area of the prism given is 94 units².

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The range of a dataset is the distance between the maximum value and the minimum value. The range is found by subtracting the minimum value from the maximum value: maximum - minimum = range.

Maximum value of this dataset = 20.4

Minimum value of this dataset = 10.1

20.4 - 10.1 = 10.3

Range = 10.3

Hope this helps!

Answer:

10.3

Step-by-step explanation:

Given set of values

Maximum value

Minimum value

Range

Answer:

87% of all the packets of biscuits Jemima displayed on the shelves.

Step-by-step explanation:

400-52=348

so, 348*25%

348*25/100

87

Answer:

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

[tex] \\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\ [/tex]

Substituting values in above formula:

[tex] \\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\[/tex]

[tex]\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\ [/tex]

[tex]\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\: [/tex]

[tex]\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\ [/tex]

[tex]\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}} [/tex]

[tex]\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}[/tex]

Hence,

[tex] \\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\ [/tex]

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution:-

According to the question ,

Let the width of rectangle be x and length of rectangle be 2x+3 m

Area of rectangle :- L×B

L×B = 54m²

(2x+3) * x = 54m²

x = 4.5 m

By putting the value of x , we get

Length :- 2x+3 = 12 m

Width :- 4.5 m

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

Convert to vertex form by completing the square

[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]

Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].

Answer:

x=-4

Step-by-step explanation:

i took the test

Answer:

I may be wrong but I think the missing side is 7.

Step-by-step explanation:

because 40 minus 8 is 32 so I did 15 minus 8 and got 7

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]\sf -\dfrac{1}{36}[/tex]

Explanation:

[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]

remove parenthesis

[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]

all the denominators has a common multiple of 108

[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]

join the fractions

[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]

simplify

[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]

Answer:

Angle CBD is 65°

Step-by-step explanation:

All of these angles add up to 180:

So, we can make this equation: (x is CBD)

46 + 21 + 48 + x = 180

115 + x = 180

-115         -115

x = 65

Hope this helps

Answer:

∠CBD = 65 degrees

Step-by-step explanation:

Please open the attached image!!

Answer:

D. 30

Step-by-step explanation:

Notice how $2 buys 6 packets. This means that if Sandra had $1, she could buy 3 packets.

If she had $10, you must multiply 3 (packets) by 10. Sandra can buy 30 packets with $10.

Answer:

The answer is 20 (I think)

Step-by-step explanation:

The question says 6 tomato seeds at $2

So, 10*2=20

hence proved

Answer:

Step-by-step explanation:

Answer:

Yeah. The answer is [tex]206\frac{2}{25}[/tex].

Step-by-step explanation:

Answer:

hmm i think its

1/2(x + y)

Step-by-step explanation:

because well... this would be eaiser for me if it said "of the" because "of the" is mostly used for multiply, but since it just said "the..." i can only guess. I think this may be the answer tho?

Answer:

117

Step-by-step explanation:

we should subtract 63 from 180

so 180 - 63 = 117°

Answer:

B) B

Step-by-step explanation:

       In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.

       We can also check the answers as a whole,

2 * 5 = 10

80 * 5= 400

400 + 1 = 410

       Again, only option B gives us this. This is means that option B is our answer.

Answer:

B

Step-by-step explanation:

82

5

--

5 x 2 = 0 (carry 1)

5 x 8 + 1 = 1 (carry 4 to bottom)

[tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

If one cup of chocolate chips weighs about 6 ounces

we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.

[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup

= 3 + 0.25

= 3.25 cups

Weight of 3.25 cups = 3.25 cups × 6 ounces/cup

Weight of 3.25 cups = 19.5 ounces

Therefore, [tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

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Answer: 24

Considering the situation described, the appropriate hypotheses set is given by:

[tex]H_0: p = 0.26[/tex]

[tex]H_1: p > 0.26[/tex]

At the null hypotheses, we test if there is not enough evidence that the percentage has increased, that is, it still is of 26%, hence:

[tex]H_0: p = 0.26[/tex]

At the alternative hypotheses, we test if there is evidence that it has increased, hence:

[tex]H_1: p > 0.26[/tex]

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Answer:

82 ft²

Step-by-step explanation:

Area of the patio:

5 x 9 =45

Area of the walkway:

2 x 8 =16

Area of the garden:

3 x 7 =21

Total:

45+16+21 = 82

Answer:

23 gallons

Step-by-step explanation:

Given:

A barn is shaped like a rectangular prism with a triangular prism on top as shown.

The exterior four walls and two triangular faces need to be repainted.

To Find:

If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?

Solve:

[tex]12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2[/tex]

= [tex]5336\;square\;feet[/tex]

[tex]\frac{5336}{232}=23[/tex]

Hence 23 gallons to repaint the barn

~lenvy~

Answer:

The farmer can predict that 55 cows in the entire population have no spots.

Step-by-step explanation:

The farmer can predict that 40 cows in the entire population have no spots, the correct option is C.

Suppose we're given that:

Favourable Cases X (in count, in sample)

Sample Size N

Level of significance =[tex]\alpha[/tex]

Then, the sample proportion of favorable cases is:

[tex]\hat{p} = \dfrac{X}{N}[/tex]

The critical value at the level of significance[tex]\alpha is Z_{1- \alpha/2}[/tex]

The corresponding confidence interval is:

[tex]CI = & \displaystyle \left( \hat p - z_c \sqrt{\frac{\hat p (1-\hat p)}{n}}, \hat p + z_c \sqrt{\frac{\hat p (1-\hat p)}{n}} \right)[/tex]

The given information;

The farmer took a random sample of 40 cows out of 200 total cows and found that 11 of those cows have no spots. We can use this sample data to make a prediction about the entire population using statistical inference.

Now,

Plugging in the values, we get:

CI = 0.275 ± 1.96sqrt((0.275(1-0.275))/40)

CI = 0.275 ± 0.139

CI = (0.136, 0.414)

This means that we can be 95% confident that the true proportion of cows with no spots in the entire population lies between 0.136 and 0.414.

the farmer can predict that between 13.6% and 41.4%

Therefore, by confidence interval the answer will be  farmer can predict that 40 cows in the entire population have no spots

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The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

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Answer:

the answer would be 12-19+23=18 so you need a new calculator

Step-by-step explanation:

yes

Answer:

x > -8

Step-by-step explanation:

-2x + 7 < 23

Subtract 7 from each side

-2x + 7-7 < 23-7

-2x  < 16

Divide by -2, remembering to flip the inequality

-2x/-2 > 16/-2

x >-8

Step-by-step explanation:

[tex] = - 2x + 7 < 23[/tex].

Move the constant to the right side..

[tex] = - 2x < 23 - 7[/tex]

Subtract 7 from 23

[tex] = - 2x < 16[/tex]

Change the symbol and reverse the symbol of the inequality to other direction...

[tex] = 2x > - 16[/tex]

Now....divide both side by the same number

[tex] = x > - 8[/tex]

Answer:

35

Step-by-step explanation:

well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35

Answer:

B) -3

Step-by-step explanation:

The average can be found by dividing the sum of the numbers by the total number of numbers.

[tex]mean = \frac{the \: sum}{n} [/tex]

[tex]mean = \frac{4 + ( - 4) + ( - 17) + 5}{4} [/tex]

[tex]mean = \frac{0 + ( - 12)}{4} [/tex]

[tex]mean = \frac{ - 12}{4} [/tex]

[tex]mean = - 3[/tex]

The mean is -3, so we can say the answer is B.

Answer:

B. -3.

Step-by-step explanation:

A ' middle' number looks like -3.

(4 + -4 - 17 + 5) / 4

= (-21 + 9) /4

= -12/4

= -3.

Recall the geometric sum,

[tex]\displaystyle \sum_{k=0}^{n-1} x^k = \frac{1-x^k}{1-x}[/tex]

It follows that

[tex]1 - x + x^2 - x^3 + \cdots + x^{2020} = \dfrac{1 + x^{2021}}{1 + x}[/tex]

So, we can rewrite the integral as

[tex]\displaystyle \int_0^\infty \frac{x^2 + 1}{x^4 + x^2 + 1} \frac{\ln(1 + x^{2021}) - \ln(1 + x)}{\ln(x)} \, dx[/tex]

Split up the integral at x = 1, and consider the latter integral,

[tex]\displaystyle \int_1^\infty \frac{x^2 + 1}{x^4 + x^2 + 1} \frac{\ln(1 + x^{2021}) - \ln(1 + x)}{\ln(x)} \, dx[/tex]

Substitute [tex]x\to\frac1x[/tex] to get

[tex]\displaystyle \int_0^1 \frac{\frac1{x^2} + 1}{\frac1{x^4} + \frac1{x^2} + 1} \frac{\ln\left(1 + \frac1{x^{2021}}\right) - \ln\left(1 + \frac1x\right)}{\ln\left(\frac1x\right)} \, \frac{dx}{x^2}[/tex]

Rewrite the logarithms to expand the integral as

[tex]\displaystyle - \int_0^1 \frac{1+x^2}{1+x^2+x^4} \frac{\ln(x^{2021}+1) - \ln(x^{2021}) - \ln(x+1) + \ln(x)}{\ln(x)} \, dx[/tex]

Grouping together terms in the numerator, we can write

[tex]\displaystyle -\int_0^1 \frac{1+x^2}{1+x^2+x^4} \frac{\ln(x^{2020}+1)-\ln(x+1)}{\ln(x)} \, dx + 2020 \int_0^1 \frac{1+x^2}{1+x^2+x^4} \, dx[/tex]

and the first term here will vanish with the other integral from the earlier split. So the original integral reduces to

[tex]\displaystyle \int_0^\infty \frac{1+x^2}{1+x^2+x^4} \frac{\ln(1-x+\cdots+x^{2020})}{\ln(x)} \, dx = 2020 \int_0^1 \frac{1+x^2}{1+x^2+x^4} \, dx[/tex]

Substituting [tex]x\to\frac1x[/tex] again shows this integral is the same over (0, 1) as it is over (1, ∞), and since the integrand is even, we ultimately have

[tex]\displaystyle \int_0^\infty \frac{1+x^2}{1+x^2+x^4} \frac{\ln(1-x+\cdots+x^{2020})}{\ln(x)} \, dx = 2020 \int_0^1 \frac{1+x^2}{1+x^2+x^4} \, dx \\\\ = 1010 \int_0^\infty \frac{1+x^2}{1+x^2+x^4} \, dx \\\\ = 505 \int_{-\infty}^\infty \frac{1+x^2}{1+x^2+x^4} \, dx[/tex]

We can neatly handle the remaining integral with complex residues. Consider the contour integral

[tex]\displaystyle \int_\gamma \frac{1+z^2}{1+z^2+z^4} \, dz[/tex]

where γ is a semicircle with radius R centered at the origin, such that Im(z) ≥ 0, and the diameter corresponds to the interval [-R, R]. It's easy to show the integral over the semicircular arc vanishes as R → ∞. By the residue theorem,

[tex]\displaystyle \int_{-\infty}^\infty \frac{1+x^2}{1+x^2+x^4}\, dx = 2\pi i \sum_\zeta \mathrm{Res}\left(\frac{1+z^2}{1+z^2+z^4}, z=\zeta\right)[/tex]

where [tex]\zeta[/tex] denotes the roots of [tex]1+z^2+z^4[/tex] that lie in the interior of γ; these are [tex]\zeta=\pm\frac12+\frac{i\sqrt3}2[/tex]. Compute the residues there, and we find

[tex]\displaystyle \int_{-\infty}^\infty \frac{1+x^2}{1+x^2+x^4} \, dx = \frac{2\pi}{\sqrt3}[/tex]

and so the original integral's value is

[tex]505 \times \dfrac{2\pi}{\sqrt3} = \boxed{\dfrac{1010\pi}{\sqrt3}}[/tex]