The distance to school from Steven's house is 3/5 of a mile. Steven walked 2/3 of the way there and stopped to rest. How far did Steven travel before he stopped to rest?

Answer:

x > 5/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3x + 10 < 5

Step 2: Solve for x

Here we see that any value x greater than 5/3 would work as a solution.

Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

10 groups of 3 equals 30 so just add the 9 and that equals 39

Answer:

[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].

Step-by-step explanation:

Given that the point [tex]K[/tex] which is on the perpendicular bisector of the line segment having endpoints at [tex]H[/tex] and [tex]J[/tex].

The given situation can be represented as the diagram as attached in the answer area.

Referring to the [tex]\triangle HOK, \triangle JOK[/tex]:

[tex]\angle HOK = \angle JOK=90^\circ[/tex] (As it is the perpendicular bisector)

[tex]OH = OJ[/tex] (As it is the perpendicular bisector)

Also, the side [tex]OK[/tex] is the common side.

Therefore by [tex]S-A-S[/tex] congruence, [tex]\triangle HKO\cong \triangle JKO[/tex]

As per the properties of congruent triangles:

Side [tex]HK[/tex] = Side [tex]JK[/tex]

[tex]HK[/tex] and [tex]JK[/tex] are nothing but the distance of the point [tex]K[/tex] from the end points [tex]H[/tex] and [tex]J[/tex] which are proved to be equal to each other.

Therefore, we can conclude that:

[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].

Answer:

$550.00

Step-by-step explanation:

I just looked up what is 5℅ of 8,000.00 and added that to her weekly salary

Answer:

The answer would be 550$

Step-by-step explanation:

Answer:

13. x = 12

Step-by-step explanation:

[tex]\frac{16}{x}=\frac{12}{9}[/tex] cross multiply

12x = 144

x = 12

Answer:

orthocenter

Step-by-step explanation:

I just did it

The term which describes the point V is Orthocenter, the correct option is B.

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the triangle has its vertices as  [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:

[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]

We are given that;

The figure

Now,

We know that in a triangle, whenever a line that passes through a vertex of the triangle such that is perpendicular to the opposite side is called an altitude of the triangle;

So, the point where all the three altitudes of the triangle meets is called its orthocenter .

From the given figure , we can conclude that the point V is the intersecting points of all the altitudes of the triangle STU.

Therefore, by centroid concept the answer will be Orthocenter.

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Answer:

1. (n) 2. (r)

Step-by-step explanation

 interest compounded per year is (n),

annual interest rate is (r).

The number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

A = amount, P = principal, r = rate of interest, n = number of times interest is compounded per year and t = time (in years).

Therefore, the number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.

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Answer:

-154

Step-by-step explanation:

The formula for the sequence is: an = -11n + 22

If n equals 1 you get the first term, and so on.

For the 16th term n=16.

-11(16) + 22

-176 + 22

-154

Answer: C I think

Step-by-step explanation:

The functions defines (f-g)(x) is √(x-8) - 2/x + 6.

Option D is correct.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

f(x) = √(x /8) + 11

g(x) = 5 + 2/x

So, (f- g) (x)

= f(x)-  g(x)

= √(x /8) + 11 - 5 - 2/x

= √(x-8) - 2/x + 6

Thus, the value of function √(x-8) - 2/x + 6.

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Answer:

450

Step-by-step explanation:

find perimeter of bases and then the area. then find Lateral Surface area to get Surface area

Answer:

A=πr2

Step-by-step explanation:

Answer:

A= πr²

r = Radius

Step-by-step explanation:

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Step-by-step explanation:

-3x + 4 > 25

-3x > 21 (subtract 4 on both sides)

x < -7. (divide -3 on both sides, flip the sign)

Answer:

I'm pretty sure the first blank is 12 , but I am not sure about the second blank...

Answer:

3n - 2 = 13

Step-by-step explanation:

A number tripled would represent a number times 3, so it would be "3n"

If it is increased by -2, then you would be adding -2, or subtracting by 2

lastly, you put " = 13" because "is" in an equation also means "equals"

Answer:

The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Step-by-step explanation:

Consider the provided information.

The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.

The four colonies that were considered to be part of the Middle Colonies are:

New Jersey, Pennsylvania, New York and Delaware Colony

So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA

Answer:72 voted for athletes

Step-by-step explanation:

Answer:

asap???

Step-by-step explanation:

Answer:

2nd box, and 4th box.

Step-by-step explanation:

Step-by-step explanation:

This is an incomplete question. Kindly complete it for assistance

Step-by-step explanation:

Aaron (A)=30 years old currently. (Aaron's son (S)=10 years old currently)

PREMISES

3S+10=2(S+10)

ASSUMPTIONS

Let A=Aaron's “current” age (3S in terms of his son's age)

Let S=Aaron's son's “current” age (S)

CALCULATIONS

3S+10=2(S+10)

3S+10=2S+20

(3S-2S)+10=(2S-2S)+20

S+10=0+20

S+(10–10)=20–10

S+0=10

S=

10 years old

and,

if S=10 years old, then

A=3S (Aaron's “current” age in terms of his son's age)

A=3(10)

A=

30 years old

PROOF

If A=30 years old, then the equations

3S+10=2(S+10)

3(10)+10=2(10)+20

30+10=20+20 and

40=40 establish the roots (zeros) A, S={30 years old, 10 years old} of the mathematical statement 3S+10=2(S+10)

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2+0<2is wrong if that's what you mean then the right answer is 2+0=2

the sign < means the number after it is bigger than the number before thus sign so its not the answer

Answer:

Step-by-step explanation:

cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169

cos θ is positive in Quadrant IV

cos θ = √(25/169) = 5/13

The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

We have: The terminal side of θ is in quadrant IV quadrant

sinθ = -12/13

cos²θ = 1 - sin²θ

cos²θ  = 1 - (-12/13)²

cos²θ = 1 - 144/169

cos²θ = 25/169

cos θ = √(25/169)

cos θ = 5/13

cos θ is positive in Quadrant IV

Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

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Step-by-step explanation:

5p=12h

3p=?(h)

12×3=5h

36=5h

h=36/5

h=7.2 hours