36=-4(20-x)
what is the value of x

Answer:

11

Step-by-step explanation:

Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

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Answer:

1 , 2 4. 8.

Step-by-step explanation:

I hope it's helpful for you

The probability that someone who tests positive for HIV does not actually have HIV is 89.3% rounded to the nearest tenth of a percent.

what is percentage ?
Percentage is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred", so when we say "50 percent", we mean 50 out of 100, or 50/100. Percentages are often used to represent ratios and proportions in everyday life and in many fields of study, including mathematics, science, economics, and finance.

To convert a fraction or decimal to a percentage, we multiply it by 100. For example, 0.75 is equivalent to 75 percent, because 0.75 times 100 equals 75. Conversely, to convert a percentage to a fraction or decimal, we divide it by 100. For example, 50 percent is equivalent to 0.5 or 1/2, because 50 divided by 100 equals 0.5.

According to the question:

Based on the information provided, we can create the following table of possibilities:

Actual HIV Status                     HIV Positive    HIV Negative

Infected (1.1 million)                   1.07M              0.03M

Not Infected (298.9 million)     8.97M            290.93M

From this table, we can see that of the 1.1 million people living with HIV, 97% will test positive for HIV, which is 1.07 million people. The remaining 3% will test negative, which is 0.03 million people.

Of the 298.9 million people not living with HIV, 97% will test negative for HIV, which is 290.93 million people. The remaining 3% will test positive, which is 8.97 million people.

So, out of the total population of 300 million people, 1.07 million will test positive for HIV, but only 1.07/(1.07+8.97) = 10.7% of them actually have HIV. Therefore, if someone tests positive for HIV, the probability they don't actually have HIV is 100% - 10.7% = 89.3%.

Therefore, the probability that someone who tests positive for HIV does not actually have HIV is 89.3% rounded to the nearest tenth of a percent.

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

\(y-8=4(x+3)\)

Step-by-step explanation:

The equation of the line passing through the point \((x_1, y_1)\) and slope \(m\) is \(y-y_1=m(x-x_1)\).

Answer:

10,982

Step-by-step explanation:

use a calculator lol

Why are you cheating... I will report this to your teacher

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

-1/2

Step-by-step explanation:

It’s the answer

I'm happy to help!

Answer:

Adult tickets are $14

Student tickets are $8

Step-by-step explanation:

let's say that \(\tt s=student~ticket\\\\\)

And \(\tt a=adult~ticket\)

on the first day we have:

\(\tt 3s+a=38\)

On the second day we have

\(\tt3s+2a=52\)

now we have a system of 2 equations with 2 unknown

\(\tt 3s+a=38\)

\(\tt 3s+2a=52\)

we will multiply the first equation with -1

\(\tt -3s-a=-38\\\tt ~3s+2a=52\)

we solved the system and

a= $14,  forthe adult ticket

s= $8 for the student ticket

Have an Awesome day!

Answer:

c I think

Step-by-step explanation:

I'm not re but hope this helps

Answer: A the first one

A) The speed of the object is 6.71 units per second.

B) , the equation of the line is y = -3x + 9

C) The magnitude of the resultant force is 4.36N

a) The position of the  object at time t is given by:

(x, y) = (4, -3) + t  (-3 , 6)

v = (dx/ dt, dy/dt) = (-3, 6)

So the velocity vector is ( -3, 6).

For speed of the object, we need to find the magnitude of the velocity vector....

|v| = √((-3)^2 + 6^2)

= √(45)

= 3 √(5)

= 6.71 units

B

The equation given  as (x, y) = (4, -3) + t (-3, 6)

Written in form of y=mx + b we have:
y = -3 t + 9
Thus,

EQuation is y = -3x + 9

C)

The angle between the two forces can be calculated as 90 ° - 30° = 60°.
To find the magnitude of the resultant force using the law of cosines, we can use the formula.....

c ² = a ² + b ² - 2ab cos(C)
In this case, we have...

a = 3N

b = 5N

C = 60 degrees

c ² = 3 ² + 5 ² - 2(3)(5) cos(60)

c ² = 9 + 25 - 30(0.5)

c ² = 19

c = √(19)

c = 4.35889894354
c ≈ 4.36

So it is right to state that  the magnitude of the resultant force is 4.36N

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Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)

Imagine you draw a straight line down the middle of a piece of paper. This line is the line of symmetry. Anything you draw on one side of the line is going to have a mirror image on the other side of the line that looks exactly the same.

Now, if you have a point on the line of symmetry, that means the point is exactly in the middle of the line. And since the line is the same on both sides, that means the point is going to be the same on both sides too! So, the point on the line of symmetry stays in the same place and looks the same on both sides of the line.

- Dante

Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

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Answer:

18.75

Step-by-step explanation:

Cuanto es 25% de 75?

Para calcular este tanto por ciento, sugerimos usar esta fórmula:

% / 100 = Parte / Total

Sustituyendo los valores proporcionados:

25 / 100 = Parte / 75

Realizando la Multiplicación en cruz:

25 x 75 = 100 x Parte, o

1875 = 100 x Parte

Ahora es sólo dividir por 100 y obtener la respuesta:

Parte = 1875 / 100 = 18.75

Answer:

Infinitely many solutions

True for all y values

Step-by-step explanation:

Answer:

1m 10cm

Step-by-step explanation:

1. Find the Greatest Common Factor of 4m, 9m, and 16m

  factors of 4m: 1, 2, 4, m

  factors of 9m: 1, 3, 9, m

  factors of 16m: 1, 2, 4, 8, 16, m

  GCF = 1m

2. Find the GCF of 50cm, 90cm, and 20cm

   factors of 50cm: 1, 2, 5, 10, 25, 50, cm

   ... 90cm: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, cm

   ... 20cm: 1, 2, 4, 5, 10, 20, cm

   GCF: 10cm

The required measure of the length of the plank that can measure all the given length is 1 m 10 cm.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

here,
Given lengths,
= 4 m  50 cm
= 9 m 90 cm
= 16m  20 cm

Taking GCF in both the segment of lengths in meters and centimeters.
For meters = [4, 9, 16]

GCF = 1 m

For centimeters = [50, 90, 20]
GCF = 10 cm

Thus, the required measure of the length of the plank that can measure all the given length is 1 m 10 cm.

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Answer:

x<3

Step-by-step explanation:

Let us move all the x values to one side and the numerical values to the other:

1>2x+2x-11

1+11>2x+2x

12>4x

3>x or x<3

I hope this helps! :)

Answer:

Answer is B in edge for I 2x-1 l >2x-11

Step-by-step explanation:

just did assignment

The volume of the sphere is approximately 8181.510 cm³.

The volume of a sphere is the amount of space that is enclosed within the surface of a sphere.

It is a measure of the three-dimensional space that is contained within the sphere.

The volume of a sphere is used in a variety of fields, such as physics, engineering, and architecture, to calculate the space enclosed by a sphere or a spherical object, such as a planet or a ball.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 12.5 cm and π = 3.14, we get:

V = (4/3) × 3.14 × (12.5 cm)³

V ≈ 8181.51 cm³

The volume of the sphere is approximately 8181.510 cm³.

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Answer:

120 = 3y + t

Step-by-step explanation

because you purchase 3 times as many y then t. Overall, your answer should end up as 120 by using an equation like this.

The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option

A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.

The figure is a composite figure comprising of a square and a circle

The radius of the circle, r = 5 meters

The side length of the square = 10 meters

The value of π = 3.14

The area of the square = 10 m × 10 m = 100 m²

The area of the circle = π × (5 m)² = 25·π m²

The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;

The area of the shaded region = (100 - 25·π) m²

The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²

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The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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If the variance of the data values in a sample is 361, Then the standard deviation will be 19.

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Here the relationship between the standard deviation and the variance is given as:-

\(\sigma\)²  =   Variance

\(\sigma\)  =    √ Variance

\(\sigma\)    =    √361  =  19

Hence the variance of the data values in a sample is 361, Then the standard deviation will be 19.

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