In June, Sara sold 70% of her products in market fairs, and she sold the rest of her products via her website. She sold 120 products less on her website than in market fairs. What was the total number of products Sara sold?

Answer:

0.1691

Step-by-step explanation:

[tex]arcsin( \frac{3}{9} ) = 0.3398 \\ \sin( \frac{0.3398}{2} ) = 0.1691[/tex]

3 Answers:

Choice A

Choice D

Choice E

=====================================================

Explanation:

The list of perfect squares is:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

If we apply the square root to any of those numbers, then the number is rational.

For example, [tex]\sqrt{25} = 5 = \frac{5}{1}[/tex]

A rational number is any fraction of two integers, where zero is not in the denominator.

Based on this, we can see that choice A represents a rational number because we are summing rational numbers.

More specific proof is to write [tex]\sqrt{4} + \sqrt{16} = 2 + 4 = 6 = \frac{6}{1}[/tex] showing it is rational.

---------------------

Choice B is ruled out because [tex]\sqrt{5}[/tex] is irrational. We cannot write it as a fraction of two integers.

Choice C is ruled out for similar reasoning as choice B. This time [tex]\sqrt{24}[/tex] is irrational.

----------------------

Choice D is another answer because [tex]2*\sqrt{4} = 2*2 = 4 = \frac{4}{1}[/tex] is rational.

Choice E is another answer as well because [tex]\sqrt{49}*\sqrt{81} = 7*9 = 63 = \frac{63}{1}[/tex] is rational.

Choice F is ruled out because [tex]\sqrt{12}[/tex] is irrational, which in turn makes [tex]3\sqrt{12}[/tex] irrational as well.

The​ line-of-sight distance from the television camera to the base of the stadium​ is 1918.16 meters

A right triangle has one of its angles as 90 degrees.

Therefore, the angles and side can be found using trigonometric ratios.

Hence, the​ line-of-sight distance from the television camera to the base of the stadium​ is hypotenuse side of the right triangle formed.

sin 9° = opposite / hypotenuse

sin 9° = 300 / h

h = 300 / sin 9

h = 300 / 0.15643446504

h = 1918.15856777

h = 1918.16 meters

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12x+10+4y

= 2(6x+5+2y)

=D

Answer:

3% = .03 x 15,500 = 465 / yr

465/yr x 5yrs = 2325

15,500 - 2325 = 13,175

Step-by-step explanation:

Answer:

The two factors of the first number are -4 and 9.

Step-by-step explanation:

We're given:

Let the two numbers be a and b:

Isolate a in the second equation and solve for b:

[tex]a+b=5\\a=5-b[/tex]

[tex](5-b)b=-36\\5b-b^2=-36[/tex]

Arrange in [tex]ax^2+bx+c=0[/tex] format:

[tex]-b^2+5b+36=0[/tex]

Divide both sides by -1:

[tex]b^2-5b-36=0[/tex]

Factor:

[tex]b^2+4b-9b-36=0\\b(b+4)-9(b-4)=0\\(b-9)(b+4)=0[/tex]

Solve for b using the zero product property:

[tex]b=-4,9[/tex]

Substitute b back into the second equation to solve for a:

[tex]a+b=5[/tex]

First, let b = -4:

[tex]a-4=5\\a=9[/tex]

Let b = 9:

[tex]a+9=5\\a=-4[/tex]

Answer:

2500 grams

Step-by-step explanation:

convert 2.5 kilograms to grams by multiplying by 1000

= 2.5×1000= 2500grams

[tex]~~~~~8-x^3 = 0\\\\\implies 2^3 -x^3 = 0\\\\\implies (2-x)(2^2 + 2x +x^2) = 0\\\\\implies (2-x) (4+2x +x^2) = 0\\\\\implies 2-x = 0~~~~~~~~~~~;[\text{The roots of }~ x^2 +2x +4 =0~ \text{ are complex}].\\\\\implies x = 2\\\\\text{Hence,}~ x =2~ \text{ is the only real solution.}[/tex]

The possible values of x in the polynomial is x = 2

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

To find the possible values of x in the equation 8 - x³ = 0, we need to solve for x.

Starting with 8 - x³ = 0, we can add x³ to both sides of the equation:

8 = x³

Now, we can take the cube root of both sides:

∛8 = ∛x³

2 = x

So, the only possible value of x that satisfies the equation is x = 2

We can check this by substituting x = 2 into the original equation:

8 - 2³ = 8 - 8 = 0

Hence , the only possible value of x that satisfies the equation is x = 2

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Answer:

187.7 m2

Step-by-step explanation:

your wecome

Answer:

14 pairs of earrings

Step-by-step explanation:

Question

Navya has 10 ¹/₂ feet of craft wire that she uses to make earrings.  If each pair of earring requires 3/4 foot of wire, how many pairs of earrings is Navya able to make.

Given:

To calculate the number of pairs of earrings Navya can make, divide the total amount of wire by the wire required to make 1 pair of earrings:

[tex]\begin{aligned}\implies \sf 10\frac{1}{2} \div \dfrac{3}{4} &= \sf \dfrac{21}{2} \div \dfrac{3}{4}\\ \\& = \sf \dfrac{21}{2} \times \dfrac{4}{3}\\ \\& = \sf \dfrac{21 \times 4}{2 \times 3}\\ \\& = \sf \dfrac{84}{6}\\ \\& = \sf 14 \end{aligned}[/tex]

Therefore, Navya can make 14 pairs of earrings.

Answer:

-1 = -5

0 = 0

1 = -5

2 = -20

Step-by-step explanation:

im not sure if the answer is right but i hope it helps ^^

the website i used to find my answer is called desmos

Answer:

1. |-6|

2. |-5|

3. |-3|

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

|-6| = 6

|-5| = 5

|-3| = 3

Answer:

x=[tex]-\frac{14}{3}[/tex]

Step-by-step explanation:

3x-12-6x+21=23

-3x+9=23

-3x=14

x=[tex]-\frac{14}{3}[/tex]

Answer:

See below ~

Step-by-step explanation:

Problem 20

Problem 17

Problem 19

Answer:

Problem 20: [tex]\frac{2}{9}[/tex]

Problem 17: 3

Problem 19: [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Plugging in the given values in each problem, we can solve.

-----------------------------------

Problem 20:

[tex]\frac{-4-(-6)}{4-(-5)}[/tex]

[tex]=\frac{2}{9}[/tex]

-----------------------------------

Problem 17:

[tex]\frac{5-2}{3-2}[/tex]

[tex]=\frac{3}{1} =3[/tex]

-----------------------------------

Problem 19:

[tex]\frac{2-(-3)}{6-2}[/tex]

[tex]=\frac{5}{4}[/tex]

hope this helps!

Answer:

X can either be -4 or 11.

Step-by-step explanation:

[tex]x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0\\[/tex]

If we set (x+4) to zero then x equals -4

If we set (x-11) to zero then x equals to 11.

So x can be -4 or 11.

The shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

Here we have the condition that Melinda leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mary’s house.

Now we need to calculate shortest distance between Melinda’s house and Mary’s house.

The traingle is made from the given question and the shortest distance between Melinda's and  Mary’s house will be the hypotenuse of the triangle.

So from the Pythagorean theorem:-

D²=6²+4²

D²=36+16

D²=100

D=10

Hence the shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.

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Answer:

See below ~

Step-by-step explanation:

Let's take an example :

I'm driving a car Z for 1,750 km and it has consumed 70 L of fuel.

===============================================================

Formula for mileage :

Mileage = Distance / Fuel consumed

=============================================================

Solving :

⇒ Mileage = 1,750 km / 70 L

⇒ Mileage = 25 km/L

=============================================================

Understanding by this method :

We can solve for the mileage of a car if we know how much distance it has covered in unit time, and the amount of fuel it has consumed, we can calculate mileage.

Answer:

∠b = 53°

Explanation:

Complimentary angles are when two angles sum up to 90°

Here given:

∠a : 37°

∠b : missing angle

These angles sum up to 90 degree:

x + 37 = 90°

x = 90° - 37°

x = 53°

Answer:

i think the answer is 150m³

Answer:

150 m³

Step-by-step explanation:

Formula

Area of a rhombus = (a · b) ÷ 2  

(where a and b are the diagonals)

Given:

⇒ Area of the rhombus = (10 · 3) ÷ 2  

                                       = 30 ÷ 2  

                                       = 15 m²

Formula

Volume of a right prism = area of the base × length

Given:

⇒ Volume of the right prism = 15 × 10

                                               = 150 m³

Answer:

[tex]\frac{27}{125} = 0.216[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} = 0.6[/tex]

[tex]0.6^{3}[/tex] = 0.216

Answer:

Step-by-step explanation:

Remark

If you learn how to do this, a part of science called dimensional analysis will  come more easily to you. It looks like this.

7 yds [3 ft/yd] [12 in / ft] = 252 inches.

Notice how it works. In the first set of brackets, the yards cancel. You have 21 feet. In the second set of brackets, the feet cancel, and you are left with inches.

Proportions

If this does not appeal to you, you can do it the standard way.

1 yard / 3 feet = 7 yards / x (feet)               Cross Multiply

1 yard * x = 7 yards * 3 feet.                        Divide by yards

1 yard * x / yard = 7 yards * 3 feet/yds       The yards cancel

x = 21 feet

1 foot / 12 inches = 21 feet / x                     Cross Multiply

1 foot * x = 12 inches * 21 feet                     Divide by ft

1 foot *x / foot = 12 inches *21 ft/ft            

x = 252  inches

Answer

252 inches

57/6 = $9.50 per shirt

9.50 x 4 = $38

Answer: $38

Answer:

$38

Step-by-step explanation:

57 ÷ 6 = 9.5

9.5 x 4 = 38

hope this helps

have a good day

Answer:

? = 56

Step-by-step explanation:

I've attached my work

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

therefore 1. 100 square feet and 2. 270 square feet

Step-by-step explanation:

1. Area for trapezium is (a+b)/2 times height

[tex]\frac{a + b}{2} *h\\[/tex]

[tex]\frac{9 + 16}{2} * 8[/tex]

= 100

2. Area for kite is ab/2 where a and be are the perpendicular diagonals:

[tex]\frac{ab}{2}[/tex]

[tex]\frac{10 * 54}{2} = 270[/tex]

Answer:

44 aproximately

Step-by-step explanation:

She puts a tag on 20 of them, the next day she catches 27 and notices 3 of them have a tag so we substract 27-3=24 we add 24 to the initial number of ducks (20) and the result is 44

Step-by-step explanation:

27÷3×20=180

or

3/27=20/n =180

so the numbers of ducks in her local park is 180

Answer:

I got 24.1, but you missed a equasion sign between the 0.6 and 13. If you tell me what the sign is I can help more! :)

Step-by-step explanation:

Have an amazing day! :D <3