A shelf is supported with brackets as pictured in the diagram below. What is the
width of the shelf?
A 14 in.
B 16 in.
C 12 in.
D 10 in.

Answer:

11. Slope of the line is 7/10.

12. Slope of the line is [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

11. Given points are:

(-6, 1) and (4, 8)

Slope of a line is given by the formula;

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{8-1}{4-(-6)}[/tex]

m = [tex]\frac{7}{4+6}[/tex]

m = [tex]\frac{7}{10}[/tex]

Slope of the line is 7/10.

12. Given points are:

(2, -3) and (5, -4)

Slope of the equation is;

m = [tex]\frac{-4-(-3)}{5-2}[/tex]

m = [tex]\frac{-4+3}{3}[/tex]

m = [tex]\frac{-1}{3}[/tex]

Hence,

Slope of the line is [tex]-\frac{1}{3}[/tex].

Answer:

4

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:

-5/15 = -1/3

This means we have a slope of -1/3.

Alternatively, we could just the points and put them into the slope formula.

We have the points (0,25) and (15,20). We can substitute those values into the formula:

m = y₁ - y₂ / x₁ - x₂

m = 25 - 20 / 0 - 15

m = 5/-15

m = -1/3

Works all the same.

Answer:

Domain: [-4, ∞)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our line's x-values span from -4 to infinity. Since -4 is closed dot, it is inclusive in the domain:

Interval Notation: [-4, ∞)

Interval Notation: y ≥ -4

Answer:

B.

Step-by-step explanation:

Irrational as π is irrational.

Answer:

13.75

Step-by-step explanation:

6.25+7.50=13.75

Answer:

$11.05

Step-by-step explanation:

The hot dog is $3.55, and the cheeseburger is $7.50. Thus, adding them together, the whole total is $11.05.

Hope this helps

Answer:

a and b

Step-by-step explanation: i took the test and i think thats it

Answer:

The equation is 3n + 13 = 40 The triplets are 9 years old

Step-by-step explanation:

5.25 + 13

= 18.25

Xavier rode his bicycle for a total of 18.25mi in one week.

Answer:

476 girls

Step-by-step explanation:

total students : 850

56% of 850 = 476

Answer:

15

Step-by-step explanation:

sweet

Answer:

9-7= 2

8 / 2 = 4

4 X 9 = 36

4 X 7 = 28

36 students in math class

Answer:

36 students in the math class

Step-by-step explanation:

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Find the difference between numbers:

Divide the second number by the first number:

36/108 = 1/33

Divide the third number by the second number:

12/36 = 1/3

The difference is 1/3

Multiply the last known number by 1/3 for the next number:

12 x 1/3 = 4

The next term is 4

Answer:

Option A

Step-by-step explanation:

From the last triangle given in the picture,

x° = 45° + 85° [By the definition of exterior angle of a triangle]

x = 130°

Another way to get the value of x,

By triangle sum theorem,

45° + 85° + y° = 180°

y° = 180° - 130°

y = 50°

And (x° + y°) = 180° [linear pair of angles]

x + 50 = 180

x = 130°

Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130

Option A is the answer.

Answer:

Yes, if yo get an assignment that you don't get, ask the teacher to explain it to you.

Step-by-step explanation:

Answer:

4. Obtuse

5. Right

6. Acute

Step-by-step explanation:

Pythagorean Theorem.

a^2 + b^2 = c^2

a + b > c = Acute

a + b < c = Obtuse

a + b = c = Right

Answer:

kinectic + electric = internal

Step-by-step explanation:

Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.

Answer:

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .

Energy on a smaller scale

Internal energy includes energy on a microscopic scale

It is the sum of all the microscopic energies such as:

translational kinetic energy

vibrational and rotational kinetic energy

potential energy from intermolecular forces

One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.

Answer:it’s an unknown number

Step-by-step explanation:

Answer: Roy

Step-by-step explanation:

(5, -1) has a positive x value and negative y value. Therefore, it is in the 4 quadrant which is the bottom right corner. In this case, Roy is the only one in the 4 quadrant where the community center is.

Answer:

its in between joe and dan

Step-by-step explanation:

Answer:

90 divided by 15

Step-by-step explanation:

= 6

So 90/15=6 6 Friends

Answer:

90/15=6 so you gave 6 friends paper clips.

Step-by-step explanation:

take 90 and divide it by 15 and you'll get the amount of friends..(im not sure if this is right though but hopefully it is!) <3 hang in there!

Answer:

Step-by-step explanation:

In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4

In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25

In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17

In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6

In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13

Answer:

a.  Oscar charges more to tutor for 5.5 hours than Latoya.

b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.

Step-by-step explanation:

Charges by Oscar:

1st hour of tutoring = $25

Additional hour or fraction = $15

For tutoring for 5.5 hours, Oscar charges:

1st hour of tutoring = $25

4.5 hours of additional tutoring = $75 ($15 * 5)

Total charges = $100

Charges by Latoya:

= 30x, 0.6, where x = hours of tutoring

Total charges = 30 * 5.5 * 0.6 = $99

Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).

Answer:

f=2

Step-by-step explanation:

4(f+1)=12

4f+4=12

-4 -4

4f=8

f=2

Answer

F = 2

Step-by-step explanation:

Distributive property: 4f+4=12

-4 -4

Subtraction property of equality: 4f=8

/4. /4

Division property of equality: f=2

Answer:

35

Step-by-step explanation:

20 + 15 = 35

hope this helps

Answer:

12 after 2

Step-by-step explanation:

I got this correct on ed2020

Answer:

ratio

Step-by-step explanation:

Answer:

6000+300+70+4

Step-by-step explanation:

6000 plus 300 =  6300

70 plus 4= 74

6300+74=6374

Answer:

6,000

+  300

+     70

+       4

-------------

6, 3 7 4

Step-by-step explanation: