3. How many solutions does the equation
2(x – 5) = 2x + 3 have?
A. O
C. 2
B. 1
D. infinitely many

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Given

The attached circle

Required

Find the measure of x

From the attached image:

[tex]11x + 2[/tex] and [tex]-2 + 7x[/tex] form a semi-circle

So:

[tex]11x + 2 -2 + 7x = 180[/tex]

Collect like terms

[tex]11x + 7x = 180+ 2 -2[/tex]

[tex]18x = 180[/tex]

Solve for x

[tex]x = \frac{180}{18}[/tex]

[tex]x = 10[/tex]

Given:

45 people will accomplish the given task in 15 days.

To find:

Days taken by 15 people to complete the same task.

Solution:

Since, 45 people of a company can finish a work in 15 days

Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]

                                                                                        = [tex]675[/tex] days

15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]

                                                                                                    = [tex]45[/tex]

Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.

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Answer:

WOMP WOMP WOMP!!!

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

51840/192= 270

Answer:270 i think

hope thatm helps

Answer:

 [tex]a_n=a+(n-1)d[/tex]

Step-by-step explanation:

The given sequence is 22, 20, 18, ...

We need to find the explicit formula for an.

First term is 22

Second term = 20

Third term = 18

We can write the formula as :

[tex]a_n=a+(n-1)d[/tex]

Where

a is 22

d is common difference = 20-22 = -2

Forth term will be :

[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]

Hence, the formula is [tex]a_n=a+(n-1)d[/tex].

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined.

Step-by-step explanation:

hope i helped plz mark me brainlest;(

Answer:

point, line and plane.

Step-by-step explanation:

all other terms in Geometry can be defined.

Answer:

$222

Step-by-step explanation:

$185 x 1.2 = $222

Answer:

222

Step-by-step explanation:

Hi! So marking up means to raise the price or increase it.

185 is the whole, a whole is 100

and we need to raise it by 20% so add these two together to get 120%, turn this into a decimal  is 1.2, now to find and increase we multiply it by the original price.

1.2 x 185 = 222

Very sorry if it is wrong.

Answer:

52⁰

Step-by-step explanation:

Cos x⁰ = adjacent/hypotenus

Cos x⁰ = 8/13

Cos x⁰ = 0.615

x⁰ = cos^-1 (0.615)

x⁰ = 52⁰

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

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Answer:

[tex]\frac{8}{27}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}[/tex]

Answer:

true

Step-by-step explanation:

Answer:

I thinks its D have a nice day

Step-by-step explanation:

Answer:

The result is different

Step-by-step explanation:

Hope this helps

Answer:

$49.51

Step-by-step explanation:

The original price of the shoes is  $49.50.

The pricing scheme in which the cost of a thing (or service) is less than its marked price listed price is referred to as a "discount." Simply put, a discount represents a percentage off the advertised price. In consumer interactions, a discount is a type of product price reduction where customers have suggested a percentage of rebates on various goods to increase sales.

Given discount = 5%

sale price  = $47.03

to find original price

discount is given by

Discount (percentage) = (List Price - Selling Price)/ List Price x 100

5% = 1 - SP/LP

SP/LP = 1 - 5%

47.03/LP = 1 - 5/100

LP = (47.03 x 100)/95

LP = $49.50

Hence the original price of the shoes is $49.50.

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Answer:

$15.65

Step-by-step explanation:

$20 + $20 = $40

$40 - $24.35 = $15.65

Answer:

C

Step-by-step explanation:

Answer:5/6

Step-by-step explanation:

Answer:

The standard deviation of the probability distribution is 1.02.

Step-by-step explanation:

Standard deviation of the distribution:

Square root of the sum of the difference squared between each value and the mean multiplied by its probability.

Mean:

Each value multiplied by its probability. So

[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]

The standard deviation of the probability distribution is 1.02.

Answer:

C

Step-by-step explanation:

:)

The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a square pyramid is:

V = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:

base area = (8y)² = 64y²

The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.

Substituting these values into the formula for volume, we get:

1000 = (1/3) * 64y² * 10y

y ≈ 1.16

Therefore, the length of the base of the pyramid is:

8y ≈ 8.4

And the height of each triangular face is:

5y ≈ 5.8 cm

So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

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Answer: 88

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.

From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.

Therefore, the set of points does not represent a function.

Please find the attached photograph for your answer.

Answer:

48-19=x

Step-by-step explanation:

if you subtract those you get 29

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

Answer:

no one here speaks spanish-

Step-by-step explanation:

Answer:

1 to 3

Step-by-step explanation:

3 blue: 9 yellow

Divide each side by 3

3/3 : 9/3

1 blue: 3 yellow

1 to 3

Answer:

1) A) 25%

2) B) 16%

3) A) 93%

Step-by-step explanation:

1)

0.25 = 25%

2)

More than 3 means, 4 and 5

0.12 + 0.04 = 0.16 = 16%

3)

x ≥ 1

So that means 1+ days (everything except 0)

0.25 + 0.18 + 0.34 + 0.12 + 0.04

0.93 = 93%