A rental car company charges $80 per day to rent a car and $0.10 for every mile driven. Alyssa wants to rent a car, knowing that: She plans to drive 150 miles. She has at most $300 to spend. Which inequality can be used to determine xx, the maximum number of days Alyssa can afford to rent for while staying within her budget?Geq30080x+15≥300 15x+80\leq30015x+80≤300 80x+15\leq30080x+15≤300 15x+80\geq30015x+80≥300

Step-by-step explanation:

b= 140 ( alternate angle)

k = 130 ( veetically opposite angles)

may it help ub

Answers:

[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]

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

Explanation:

Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem

[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]

The vertical side is [tex]\sqrt{33}[/tex] units long.

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The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)

The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.

Divide the hypotenuse over opposite to get the cosecant.

[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]

Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.

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Recall that sine is the reciprocal of cosecant, and vice versa.

So we'll use the same idea as before, but flip the original fraction.

[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]

The denominator is already a rational number, so there's not much else to do here.

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Cotangent is the ratio of adjacent over opposite

[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]

The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).

Answer:

[tex]x= 23.775.[/tex]

Step-by-step explanation:

[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]

Answer:

Step-by-step explanation:

i think it is b

Answer:

A

Step-by-step explanation:

2x + x = 3x

y - 3y = 2y

Answer:

x = 10

Step-by-step explanation:

We can use ratios to solve

Side over bottom

5         5+3

---- = --------

x         16

Using cross products

5 * 16 = (5+3)*x

80 = 8x

Divide by 8

10 = x

x = 10.  This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

 -     -     -

2d+3o=43

=     =    =

4d      =44

÷4        ÷4

d        =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7

Answer:

9.9 inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the length of the height

49 = 1/2 x*x

Multiply each side by 2

2*49 = x^2

98 = x^2

Take the square root of each side

sqrt(98) = sqrt(x^2)

9.899494937 =x

Rounding to the nearest tenth

9.9 =x

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

Answer:

Step-by-step explanation:

here,

base=28 ft

height=24 ft

are of parallelogram=base*height

=28*24

=672 ft^2

Answer:

672 ft²

Step-by-step explanation:

Area of parallelogram is the same as the area of a rectangle.

28 × 24 = 672 ft²

Answer:

the missing side is 6

Step-by-step explanation:

Using the Pythagorean theorem, ([tex]a^{2} + b^{2} = c^{2}[/tex]), for right triangles, you get [tex]4^{2} + (2\sqrt{5}) ^{2} = c^{2}[/tex].  Since the square cancels the square root for side b you get [tex](2^{2})*(5)[/tex] which equals 20. This makes your equation go to 16+20 = [tex]c^{2}[/tex]. Then add the numbers to make [tex]36=c^{2}[/tex]  solve for c by taking the square root of both sides to get c = 6.

Answer:

hope this helps

Step-by-step explanation:

-they do not have the same slope

-their lines are not parallel

there's probably more but i cant quite think of it as of now

Answer:

please give me brainliest for quest

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

Answer:

(-1, 8)

the value of a is 8

Answer:

B. -√13/4

Step-by-step explanation:

cos 0 = -√3/4 => x=-√3 , h=4

tan 0 > 0

y should be on quadrant III

y= √4²-3= √16-3=√13 => -√13

so, sin 0 = y/h = -√13/4

Answer:

B. -√13/4

Step-by-step explanation:

:)

Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

Answer:

85.7 ounces.

Step-by-step explanation:

428.5/5 = 85.7

Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.

Answer:

85.7 ounces

Step-by-step explanation:

428.5 ounces ÷ 5=85.7 ounces

Answer:33

Step-by-step explanation:

trust

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

XYZ is congruent to DEF so:

X = D

Y = E

Z = F

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

Respuesta:

Media = 6

Mediana = 6

Modo = 6

Desviación media = 1

Desviación estándar = 1.317

Explicación paso a paso:

Dados los datos:

5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8

Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8

La media: Σx / n = 96/16 = 6

El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)

La mediana = 1/2 (n + 1) ésimo término

Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6

La desviación media = Σ (x - media) / n

Usando la calculadora, la desviación media = 1

La desviación estándar = √ (Σ (x - media) ² / n-1)

Desviación estándar = 1.317

Answer:

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Answer:

43347

Step-by-step explanation:

just move decimal to the right 4 times.

Answer:

x = 6 and y = 0

Step-by-step explanation:

x + 2y = 6

x = 6 - 2y                          equation(i)

substitute the value of x

x + 2y = 6

6 - 2y - 2y = 6

-4y = 6 - 6

y = 0/-4

y = 0

substitute the value of x in equation (i)

x = 6 - 2y

x = 6 - 2*0

x = 6-0

x = 6

Answer:

(c) 84

hope this helps!!!!

Answer:

[tex] {x}^{2} - 9[/tex]

Step-by-step explanation:

[tex](x−3)(x+3)[/tex]

[tex]x(x+3)−3(x+3)[/tex]

[tex]x \times x+x \times 3−3x−3 \times 3[/tex]

[tex]x \times x−3 \times 3[/tex]

[tex] {x}^{2} - 9[/tex]

Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )

⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)

xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)

⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)

Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30

me lười làm khúc dưới quá nên tự xử nha.

Answer:

x = 80

Step-by-step explanation:

Both angles together form 180, therefore x is 80

Answer:

x = 80

Step-by-step explanation:

100 and x form a straight line so they add to 180

x+100 =180

Subtract 100 from each side

x = 180-100

x = 80