Which graph is the solution to the inequality?

Answer:

[tex]7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12[/tex]

Answer:

Step-by-step explanation:

7x-8=3x+40

7x-3x=40+8

4x=48

x=48/4

x=12

y > -(1/2) x + 5   and   y ≤ 3x - 2

(5,3):

3 >? -(1/2)(5) + 5  = 5-5/2 = 5/2; that's true

3 ≤ 3(5) - 2 = 13; that's true

(4,3)

3 >? -(1/2)4 +5 = 5 - 2 = 3; that's false

Answer: 2)    (4,3)

Let's check the rest.

(3,4)

4 >? -(1/2)(3) + 5 = 5 - 3/2 = 7/2, true

4 ≤ 3(3) - 2 = 7, true

(4,4)

4 >? -(1/2)(4) + 5 = 5 - 2= 3, true

4 ≤ 3(4) - 2 = 10, true

Answer seems right.

Answer:

1 do the division by a draw of their names into 2 teams

2 there might be one group with a higher age and thus a lower chance of being cured and you should know all variables and have control over the project

Step-by-step explanation:

Answer:

1. There are multiple methods to choosing randomly from a selection. One instance could be choosing names from a hat.

2. Dividing the groups randomly allows for an equal and fair distribution of people for the control and variable groups. The 50 people receiving the drug are the variable group, while the other 50 receiving the placebo are the control group.

Step-by-step explanation:

Random selection is used in testing in order to assure the lack of bias from researchers. In real trials, random selection would likely be done through the company's own software, or an Excel spreadsheet.

Random selection is also used in order to remove lurking variables. An example of a lurking variable could be shown as follows:

A researcher is studying a connection between heart disease and cholesterol intake. Aspects unrelated to the study could still have an effect on the quality of the results, like whether people in the groups smoked or was very stressed. Random distribution assists in removing any lurking variables - and if it can't fully remove them, it will at least distribute them fairly across the control and variable groups.

Since the area of triangle ABC is difficult to determine, hence their area is difficult to compare

The triangle is a 2-dimensional figure with two sides. The formula for finding the area of a triangle is expressed as:

A = 1/2 * base * height or;

A = 1/2absin Ф

where

Ф is the angle between the height and

h is the perpendicular distance

While we can calculate the area of triangle XYZ, the area of triangle ABC is difficult to determine since we do not have the perpendicular height

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y = -0.6x – 0.8

√34 = 5.8309518948453

Answer:

-3/5

m= y2-y1/x2-x1

m= -2-1/ 2+3

m= -3/5

Answer:

-8a^2 + 9a

or

9a - 8a^2

the answer is c

Step-by-step explanation:

Step-by-step explanation:

3.14

To round to the nearest hundredth, we therefore need to look at the digit immediately to its right—in other words, the 1 in the thousandths place. Since that number is less than 5, we need to round down—which gives us a rounded value of pi equal to 3.14

Answer:

A & E

Step-by-step explanation:

An alternate exterior angle pair would have to be on the outside and be on opposite sides of the same line (like 5 and 11).

Angles 5 and 11, and angles 4 and 6 are pairs of alternate exterior angles.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Alternate exterior angles are angles that are located on opposite sides of the transversal (a line that intersects two other lines) and outside of the two lines being intersected. They are equal in measure.

Thus, Angles 5 and 11, and angles 4 and 6 are pairs of alternate exterior angles.

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Answer:

x-3>15

x>18

Step-by-step explanation:

usually its better to read it from right to left, more than 15 tells you its gonna be >. then you see 3 less than x, which is x-3. Then solve as if the > was an equal sign

x-3>15

+3  +3

x>18

The inequality representing 'Three less than a number x is more than 15' is x - 3 > 15. Solving this, we get x > 18. Hence, x should be greater than 18.

The word sentence given is: 'Three less than a number x is more than 15'. To write this as an inequality, we start by identifying the mathematical phrase for 'Three less than a number x', which is 'x - 3'.

The phrase 'is more than' translates to the inequality symbol '>'.

Therefore, we set up the inequality as follows:

x - 3 > 15

Next, we solve the inequality step-by-step:

So, the solution to the inequality is x > 18.

In summary, when converting word sentences to inequalities, ensure you accurately translate the phrases and solve them step-by-step to find the solution.

Answer:

32,800 litres

Step-by-step explanation:

V=l*w*h

V=4*2*4.8

V=38.4 cubic meters

38.4 cubic meter -> 38,400 litres

38,400/4=9,600

9,600*3=28,800

28,800+4,000=32,800

Answer:

216

Step-by-step explanation:

Step-by-step explanation:

Given

slope (m) = 3

Point

( x1 , y1) = ( 4 , 2)

The equation of line is

y - y1 = m( x - x1)

y - 2 = 3( x - 4)

y - 2 = 3x - 12

3x - y - 12 + 2= 0

3x - y - 10 = 0

Which is the required equation

Hope it will help you :)

Answer:

A. x=18

Step-by-step explanation:

To solve this, we need to isolate the variable, x

-x/-3=6

Multiply both sides of the equation by -3

-3*-x/-3=6*-3

-x=-18

Divide both sides of the equation by -1

x=18

So, x=18, or choice A

Answer:

d

Step-by-step explanation:

trust me

Answer:

B)  1.

Step-by-step explanation:

Prob(red) = 5/10

Prob(green) = 3/10

Prob(yellow) = 2/10

The sum = 5/10 + 3/10 + 2/10 = 10/10

= 1.

Answer:

the answer is 11 (i think)

Step-by-step explanation:

Answer:

A couple of questions first:

Are we going to divide the candy box equally between those 2,3 or 7 person at one event- (at the same time )?

Are there 12 persons to take into consideration and that each gets the same number of candy pieces?

Are the 3 persons (and the other 2 as well) -different individuals from those who are the 7 referred to . If not then we have to consider 2 more persons.

So does the equal division of candy pieces have to be made between a minimum of 7, 10 or 12 individuals (2+3+7)?

The lowest common denominator is going to be 42. ( 2 x 3 x 7) Therefore seven persons would each get 6 pieces.)

But if the 2 and 3 people are diffèrent persons than the 7 , they will get an equal share ie. 6 pieces each, as well!

2 x 6 = 12

3 x 6 = 18

7 x 6 = 42

So, the box would have to contain at least 72 pieces of candy/ /chocolates or 6 dozens. And every one of the 12 would be happy with his 6 chocolates.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x )

Thus

K(- 2, - 4 ) → K'(- 4, - 2 )

L(6, - 4 ) → L'(- 4, 6 )

M(0, - 5 ) → M'(- 5, 0 )

The answer is D

a = 145°, b = 62°  

All of the degrees in a trapezoid should ALWAYS add up to 360°

Option D is the only option that give degrees that, if added to 118° and 35°, give 360°

Answer:

1.85

Step-by-step explanation:hope this helps god bless

Answer:

c

Step-by-step explanation:

Jordan's monthly mortgage payment will be $805.23.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To calculate Jordan's monthly mortgage payment, we can use the formula for a fixed-payment loan:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]

where:

M = monthly mortgage payment

P = the principal, which is the amount borrowed

i = the monthly interest rate, which is the annual interest rate divided by 12

n = the number of monthly payments, which is the loan term in years multiplied by 12

In this case,

the principal (P) is $150,000,

the annual interest rate is 5%,

the loan term is 30 years,

and the monthly interest rate (i) can be calculated as:

i = 5% / 12 = 0.00417

n = 30 years * 12 months/year = 360 months

Substituting these values into the formula, we get:

M = 150000 [ 0.00417(1 + 0.00417)³⁶⁰] / [ (1 + 0.00417)³⁶⁰ – 1 ]

Simplifying this expression, we get:

M = $805.23

Therefore, Jordan's monthly mortgage payment will be $805.23.

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Answer:

Blank 1: -6

Step-by-step explanation:

Because if you subtract 11-17 you get: -6

Answer:

a

Step-by-step explanation:

Answer:

x = 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{3}[/tex]

Answer:

I believe the answer is 4.71 ft.

Step-by-step explanation:

Find the perimeter of the whole circle (P=pi*diameter)

Then divide by 2.

Hope this helped!!  :)

Answer:

C

Step-by-step explanation:

On the top there are 4 x and 1 one.

On the left, there are 2 x and 3 one.

You put those together and you get (4x+1)(2x+3), which is C.

You could also check.

Answer:

An alternate interior angle, c, 180 degrees

Step-by-step explanation: