Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?

the answer in the picture

Answer:

f(g(x)) = 3x + 25

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 5

g(x) = x + 10

Step 2: Find f(g(x))

Answer:

The Bonus Army was a group of 43,000 demonstrators – made up of 17,000 U.S. World War I veterans, together with their families and affiliated groups – who gathered in Washington, D.C. in mid-1932 to demand early cash redemption of their service certificates. Organizers called the demonstrators the "Bonus Expeditionary Force", to echo the name of World War I's American Expeditionary Forces, while the media referred to them as the "Bonus Army" or "Bonus Marchers". The demonstrators were led by Walter W. Waters, a former sergeant.

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

delta math

Answer: y = -1/3x -5 (4th option is correct)

Step-by-step explanation:

Answer:

1/8 and 1/324

Answer:

4

there is only 4 golden wrapped candies

Answer:

B. 5 students

Step-by-step explanation:

There are 12 different candies to pick from, only 4 of which are gold. To find the chances of getting gold you divide 4 gold by the total of 12. This gives you a 1/3 chance of getting gold.

Since the chances are the same each time, you should expect 1/3 of the students to pick gold. So, divide 15 by 3(or multiply 15 by 1/3, same thing), to get 5 students.

Answer:

69

Step-by-step explanation:

its just an estimate

Answer:

72 degrees

Step-by-step explanation:

There are 180 degrees in a triangle. 59+49=108. 180-108=72!

I hope this helps!

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

Answer:

The volume is 1539.38

Step-by-step explanation:

Answer:

384.7 cubic inches

Step-by-step explanation:

formula to find Volume of a Cylinder:  

V = π · r² · h

7 is the diameter, so r = 3.5

V = π (3.5)² · 10

V = π (12.25)(10)

V = π · 122.5

V ≈ 384.7 in³

Answer:

Yep

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!

Answer:

-1

Step-by-step explanation:

Okay, i might be wrong..? I tried and this is what I got.

Answer:

B, the second answer choice

Step-by-step explanation:

Hope this helped! Please mark me as brainliest if you can!

Answer:6 units

Step-by-step explanation:

Answer:

y=-3/4x+17/2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

since we know the slope of the line, we can substitute it into the equation

y=-3/4x+b

we need to find b though.

since the equation will pass through the point (6,4) that means that if we plug it into the equation, it'll be a true statement; in this case, we can use it to solve for b.

substitute (6,4) into the equation

4=-3/4(6)+b

multiply

4=-9/2+b

17/2=b

the y intercept is 17/2

therefore the equation of the line is y=-3/4x+17/2

hope this helps :)

Answer:

Slope is 2.15

y-intercept is 2

Step-by-step explanation:

We need to find slope and y-intercept of the graph given.

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Looking at the graph, we can find 2 points

Point 1 : (0,-2)

Point (2): (2,-2.3)

Now putting values and finding slope:

We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]

So, we get slope = 2.15

Now, finding y-intercept

y-intercept can be found if we put x =0

Looking at the graph, when x =0, y = 2

So, y-intercept is 2

Answer:

36 and 20

Step-by-step explanation:

let x = one number

let y = second number

set up system of equations:

x + y = 56

x - y = 16

add the two equations to get:  2x = 72

therefore, x = 36 and y = 20

Answer:  Two of the angles are 144°  The other two angles are 36°

Step-by-step explanation: The sum of the angles of a parallelogram is 360°

There are two pairs of equal angles.

Using that information, we can create an equation

2x + 2(0.25x) = 360

2x + .5x = 360

2.5x = 360 . Divide both sides by 2.5 to find the value of x:

x = 144° Substitute 144 for x in the expression for the smaller angles

.25(144) = 36°

The measure of the angles in the parallelogram are 144 and 36 degrees.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.

a + b + c + d = 360

Opposite angles are equal, so

2a + 2(0.25a) = 360

2a + 0.5 = 360

2.5a = 360

a = 360/ 2.5

a = 144

the other angle = 180 - 144 = 36 degrees

To learn more about parallelograms, please check: https://brainly.com/question/17309595

Answer:

letss seeee

Step-by-step explanation:

c.

The graph shows the solution to y ≥ 2 and y < x inequality.

we have:

y ≤ 2

y ≥ 2

x > 2

y > 2

The graph is limited by a line; y = 2 (red line).

The part corresponds to the part in which y > 2.

The line is continuous, so 2 is also included in the interval

y ≥ 2

Then to find if it is "less than" (<) or "less than or equal to" (≤):

Since the line that limits this interval. The line is y = x, it is a dotted line, the extreme is not included.

In summary:

y < x

Answer is B. y ≥ 2 and y < x

Learn more about inequality ;

brainly.com/question/14164153

#SPJ7

Answer:

Answer: choice D.

Step-by-step explanation:

Trigonometric Functions

We need to recall some properties and definitions of the trigonometric functions.

[tex]\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]

[tex]\displaystyle \sec \theta=\frac{1}{\cos\theta}[/tex]

We need to simplify the following expression:

[tex]5\sin\theta\sec\theta[/tex]

Substituting the identity for the secant:

[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]

Operating:

[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]

Substituting the definition of the tangent:

[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]

Correct choice D.

Answer:

45

Step-by-step explanation:

15*3=45

Answer:

45

Step-by-step explanation:

Answer:

(C). 54°

Step-by-step explanation:

m∠3 + m∠4 = 90°

m∠1 = m∠4 = 2x + 8

(4x - 2)° + (2x + 8)° = 90°

4x - 2 + 2x + 8 = 90

6x + 6 = 90

6x = 84

x = 14

m∠6 = m∠3 = 4(14) - 2 = 54°