Please help me fill out the blanks.

Answer: 27

Step-by-step explanation:

6 is the 1st

13 is the 2nd

20 is the 3rd

27 is the 4th

34 is the 5th

Answer:

0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer: 0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer:

$8.8 per hour

Step-by-step explanation:

Well, the equation is simple.

Time (hours) * Money (per hour) = Total

We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number

12.5 * money = 110

To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working

money = 110/12.5

money = 8.8$

You can also check it out to make sure it's correct.

If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out

8.8 * 12.5 =?

8.8 * 12.5 = 110, the same total amount so our solution must be correct.

Answer:

Area of the triangle is 6

Step-by-step explanation:

The formula for the area of a triangle is the base x height / 2. This means we can just plug in the variables and solve

A = b x h/2

A= 4 x 3/2

A= 12/2

A= 6

Answer: 6

Step-by-step explanation:

The fact that the healthy school lunch has a higher price than the current lunch means that it has a higher economic cost.

An economic cost in this scenario, is the increased cost that comes with a commodity having greater perceived value.

A healthy school lunch will help a person stay healthy which is why it has more value than the current lunch. This is the reason for its higher price.

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Answer: cost

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

In 6 years, both other their ages will add up to 39. So 12 years back( 6 years for each of them), their combined age will be 27.

Now we have to find the age of Suma. We can find her brother age first.

We can use the equation 2x+x=27

In this equation, x is the age of Suma's brother. 2x + x = 3x.

3x = 27.

27 divided by 3 is 9 so Suma's brother is 9 years old. And since Suma is twice as old. Suma is 18 years old.

Answer:

Suma is 18 years old

Step-by-step explanation:

Let s = Suma's age

Let b = brother's age

Suma is twice as old as her brother:

⇒ s = 2b

In 6 years time, the sum of their ages will be 39 years:

⇒ (s + 6) + (b + 6) = 39

Substitute  s = 2b  into  (s + 6) + (b + 6) = 39  and solve for b:

⇒ (2b + 6) + (b + 6) = 39

⇒ 3b + 12 = 39

⇒ 3b = 27

⇒ b = 9

Substitute found value of b into  s = 2b  and solve for s:

⇒ s = 2(9)

⇒ s = 18

Therefore, Suma is 18 years old and her brother is 9 years old.

[tex]y= x^2 -5~~~~~~...(i)\\\\y = -2x +3~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~~~x^2 -5 = -2x+3\\\\\implies x^2 -5 +2x -3 = 0\\\\\implies x^2 +2x -8 = 0 \\\\\implies x^2 +4x -2x -8 = 0\\\\\implies x(x+4) -2(x+4) = 0\\\\\implies ( x+4)(x-2) = 0\\ \\\implies x = -4,~ x = 2\\\\\text{Substitute x = 2 in eq (ii)}:\\\\y = -2(2) +3 = -4 +3 = -1\\\\\text{Substitute}~ x = -4 ~\text{in eq (ii)}:\\\\y = -2(-4) +3 = 8 +3 = 11\\\\\text{So,} ~(x, y)=\{(2,-1), (-4,11) \}\\\\\text{Hence the answer is option B.}[/tex]

Answer:

78 ft^2

Step-by-step explanation:

14x8 - (3x6) + (4×4)

112 - (18+16)

= 78ft^2

Answer:

Step-by-step explanation:

Given equation:

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

[tex]~[/tex]

[tex] \\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\ [/tex]

The discriminant is smaller than 0.

Answer:

I can't seem to work out the other two, sorry

Step-by-step explanation:

1. -> c. because there are 10 letters in total and there are 4 vowels, so it would be 4/10, then we'd simplify by 2, and I gives us 2/5

4. -> g. because there are 10 letters so it's 10/10 which gives us 1

Answer:

CEFG

Step-by-step explanation:

1. P = 4/10 = 2/5

2. P= (4/10)(4/10)=16/100=4/25

3. P= (4/10)(3/9) = 12/90 = 2/15

4. P = 12/12 = 1

Hope this helps

Answer:

that would be 57

Step-by-step explanation:

because im smart

Answer:

It will take 4 hours for the two vehicles to meet

Step-by-step explanation:

Answer:

circumference: 17 x 2 = 34

Area:  3.14 x 8.5^2 = 226.865

Answer:

circumfrence: ≈53.40708 area:≈226.98007

Step-by-step explanation:

For area, the formula is A=πr^2, so first divide the diameter (17) by 2 to get the radius which is 8.5

square 8.5 and then multiply by pi

plug everything in to get ≈226.98007

For circumfrence the formula is πd, so multiply 17 by pi

plug everything in to get ≈53.40708

Step-by-step explanation:

69 bc it is the difference between the largest number and the smallest number

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

[tex]A=\dfrac{(a+b)h}{2}[/tex]

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

[tex]A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2[/tex]

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

[tex]A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2[/tex]

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

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Answer:

Step-by-step explanation

the answer is A.

Answer:

B, 6 miles per hour

Step-by-step explanation:

1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)

2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)

3. (4/3 * 18/4 = 72/12)

4. 72/12 can be simplified to 6/1 or 6.

5. Answer is B, 6 miles per hour

The shark is 29.78 from the swimmer.

Angle of depression is the angle between the line of sight and the vertical or perpendicular to the earth surface.

Analysis:

The height of the lookout, the distance of shark from swimmer and line of sight form a right angle triangle.

So that, tan 50 = distance of shark from swimmer/25

Distance of swimmer = 25 tan 50

Distance of swimmer from shark = 25(1.1910 = 29.78m

In conclusion, the distance of the shark from the swimmer is 29.78m

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The distance of the shark from the swimmer is 21m

From the question, we are to determine the distance the shark is from the swimmer

In the diagram,

S is the position of the shark

M is where the shark spotter is standing

and B is the position of the swimmer

The distance between the shark and the swimmer is /BS/

Using SOH CAH TOA

[tex]tan 50^\circ = \frac{25}{/BS/}[/tex]

[tex]1.19175 = \frac{25}{/BS/}[/tex]

∴ [tex]/BS/ = \frac{25}{1.19175}[/tex]

/BS/ = 20.97755

/BS/ ≅ 21 m

Hence, the distance of the shark from the swimmer is 21m.

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The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

[tex]D(p) = 180 + 10q - 4p[/tex]

Here, p is the price of Model Z.

Consider the following two statements:

[tex]D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)[/tex]

[tex]D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\[/tex]

Put the value of demand at the revenue-maximizing price as,

[tex]Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}[/tex]

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

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To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.

We're given:

To solve for x, isolate the variable:

2(x-6) = 5

2x-12 = 5

2x = 17

x = [tex]\dfrac{17}{2}[/tex]

[tex]\dfrac{17}{2}[/tex]

Answer:

//Solve equation [2] for the variable  y

  [2]    y = 4

// Plug this in for variable  y  in equation [1]

  [1]    (4) - x = -2

  [1]     - x = -6

// Plug this in for variable  y  in equation [4]

  [4]    (4) - 2x = 1

  [4]     - 2x = -3

// Solve equation [1] for the variable  x

  [1]    x = 6

// Plug this in for variable  x  in equation [3]

  [3]    (6) = 3

  [3]    0 = -3 =>  NO solution

No solution

Answer:

[tex] {2t}^{3} + {20t}^{2} - 2t + 15[/tex]

Hope this helps!!

Applying the angle of intersecting secants and tangents theorem, m(KNL) is: A. 264°.

The angle of intersecting secants and tangents theorem states that the angle formed outside a circle has a measure that equals 1/2 the positive difference of the measures of the intercepted arcs.

60 = 1/2(18x - 6 - 5x - 17) [angle of intersecting secants and tangents theorem]

Solve for x

2(60) = 13x - 23

120 = 13x - 23

120 + 23 = 13x

143 = 13x

x = 143/13

x = 11

m(KNL) = (18x - 6 + 5x + 17)

m(KNL) = 23x + 11

Plug in the value of x

m(KNL) = 23(11) + 11

m(KNL) = 264° (option A)

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Answer:

650

Step-by-step explanation:

195

_. of 30

100

and these 30 zero cut and 100 zero also cut and 3 * 195= 65 and 65 x 10 =650

Step-by-step explanation:

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 8 = 9.(x - ( - 1))[/tex]

[tex]y = 9x + 9 + 8[/tex]

[tex]y = 9x + 17[/tex]

Answer:

538 dollars

Step-by-step explanation:

Answer:

539.

Step-by-step explanation:

add 1.9 percent every year, (use this new number to take 1.9 percent out of next time)

1 500

2 509.5

3 519.1805

4\ 539.09678316

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Ages after 10 year :

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]

[tex] \\ \\ [/tex]

So :

[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\[/tex]

[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\bf \dashrightarrow x = \pink 5[/tex]

[tex] \\ [/tex]

We know :

[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]

[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]

[tex] \\ \\ [/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]

[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]

And all we are done ! ㋛