A cab service charges $4 plus $1.50 per mile. Kate wants to spend no more
than $28 on cab fare. In this inequality, m represents the greatest number of
miles Kate can travel in the cab.
28 > 4+1.5m
Solve the inequality. What is the value of m?
O A. 8
O B. 16
O C. 28
O D. 30

Answer:

Step-by-step explanation:

Worth of furnishings = $1580

Tax rate = 4.5%

Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10

Amount paid = $1580 + $71.10 = $1651.10

Since the decorator's fee was 12% of the purchases. This will then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee on purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

= $198.132

We have proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

In the given question

we have to prove that

(2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

For proving we will solve the LHS and RHS separately and then equate them .

First Solving LHS

we have

=(2*10²)*(3*10⁵)

=(2*3)*(10²*10⁵)

=6*10²⁺⁵       ...( because aⁿ.aˣ = aⁿ⁺ˣ )

=6*10⁷    ...(i)

Now solving RHS

we have

=3.5*10⁷+2.5*10⁷

taking 10⁷ common , we get

=(3.5+2.5)*10⁷

Adding the terms in the bracket we get

=6*10⁷     ...(ii)

As we can see that from equation (i) and (ii) we have LHS=RHS

Hence proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

Therefore , Proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

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Answer:

I believe it's 12.

Step-by-step explanation:

The interquartile is the box I think.

Answer/explanation:

X=-8

Answer: 3x^2+16x-12

Step-by-step explanation:

Answer:

134.38 dollars

Step-by-step explanation:

there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.

Total members = 10

number of positions = 4

Now, we will use permutations.

So, we get that:

Number of ways = 10 × 9 × 8 × 7

Number of ways = 90 × 56

Number of ways = 5040 ways

Therefore, we get that, there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.

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Answer:

B. The other number is located above 6 1/2 on the vertical number line.

Step-by-step explanation:

Given

[tex]Lesser\ Number = 6\frac{1}{2}[/tex]

Let the other number be n such that:

[tex]n > 6\frac{1}{2}[/tex]

On a horizontal number line; number increases from left to right.

This means that n will be at the right and [tex]6\frac{1}{2}[/tex] will be at the left

Or

On a vertical number line; number increases from bottom to top.

This means that n will be at the top and [tex]6\frac{1}{2}[/tex] will be at the bottom

From the list of given options, option B is correct.

Answer:

Answer is 4.2

Step-by-step explanation:

Answer:

$0.50

Step-by-step explanation:

2/4=0.5

Answer:

50 cents per roll

Step-by-step explanation:

$2 / 4rolls

2 / 4

2 ÷ 4 = 0.5

50 cents /roll

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]\:c=\sqrt{a^2+b^2}[/tex]

substituting a=5, b=20

[tex]c=\sqrt{5^2+20^2}[/tex]

[tex]c=5\sqrt{17}[/tex]

[tex]c=20.6[/tex] ft

Thus, the tree is 20.6 ft tall.

Answer:

3×x -3×2=-6

or,3x-6=-6

or,3x=-6+6

or,x=0/3

therefore=x =1 answer

Answer:

x = 0

Step-by-step explanation:

Distribute the left side

3(x-2) = -6

3x-6 = -6

Add 6 to both sides

3x = 0

Divide both sides by 3

x = 0/3

x = 0

Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

Answer:1/4

Step-by-step explanation:

10/40

1/4

Answer:

x = -3

Step-by-step explanation:

Answer:

n<30

Step-by-step explanation:

have a great day

When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.

Given,

Carlos born on November 9 2002 which was Saturday

We know,

1 week = 7 days

100 week = 700 days

The 700th day will be Saturday. because the days will repeat every 7 days

707th day will be Saturday, therefore

706th day will be Friday

Hence, When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.

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In 2012, 8 percentage of high school seniors sampled had used lad sometime during their life.

LSD use among secondary school understudies is a specific concern. In excess of 8% of secondary school seniors in the United States utilized the medication something like once in the course of their life, and almost 4% involved the medication in the previous year, as per the University of Michigan's Monitoring the Future Survey. In spite of the fact that by the 1980s LSD use had extraordinarily declined, it made a resurgence during the 1990s, basically among teens. An overview led by Monitoring the Future Study discovered that 13.6 percent of 1997's secondary school seniors had tried different things with LSD no less than once contrasted with just 7.2 percent in 1986.

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Answer:

Y = 0x + b

2 = 0 + b, b = 2

Y = 2

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y-y1=m(x-x1)

y-(-2)=1(x-(-4))

y+2=x+4

y=x+4-2

y=x+2

Parallel lines have same slopes.

Answer:

its 4+(-10)

Step-by-step explanation:

Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3 = (-4 + x₂)/2

Cross-multiplying, we have:

6 = -4 + x₂

x₂ = 6 + 4

x₂ of S = 10.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

3 = (-6 + y₂)/2

Cross-multiplying, we have:

6 = -6 + y₂

y₂ = 6 + 6

y₂ of S = 12.

Therefore, point S is equal to (10, 12).

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Answer: indirect characterization

Step-by-step explanation:

Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.

Answer: 10x36

Step-by-step explanation: 5x18 multiply by 2 and 2. 5 times 2 is 10 and 18 times 2 is 36.

Answer:

B, C, F

Step-by-step explanation:

B- has different lengths for each side and different angles

C-has different lengths for each side and different angles

F-has different lengths for each side and different angles

Non congruent triangles means if shape is reflected or rotated they would not look the same. Congruent triangles have same equal length and angles are equal in measure.

Answer:

45°

Step-by-step explanation:

A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).

For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).

Consecutive angles are supplementary that is ∠A + ∠B = 180°.

The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.

In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:

∠H = ∠J (opposite angles of a parallelogram are equal)

∠J = 45°

The complete table is given below:

  ITEM                                   W(E)                               W(M)

  Apple                                 150 g                               25 g

  Hammer                            1.5 lbs                             0.25 lbs

  Person                              180 lbs                              30 lbs

  Blue whale                      200 tons                          33.3 tons

Here, we are given that the force of gravity on the moon is only 16.6% the force of gravity on Earth.

This means that for an object of mass 'm' -

F(M) = 16.6% of F(E)

This means that a person would weigh six times less on the moon than they do on Earth

W(moon) =  [W(earth)]/6

Thus, we can complete the table as follows-

  ITEM                                   W(E)                               W(M)

  Apple                                 150 g                        1/6 x 150 = 25 g

  Hammer                            1.5 lbs                        1/6 x 1.5 = 0.25 lbs

  Person                              180 lbs                       1/6 x 180 = 30 lbs

  Blue whale                      200 tons                     1/6 x 200 =  33.3 tons

Hence, the complete table is given above.

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Your question was incomplete. Check for the missing table below.

Answer:

30 percent. Trust me, if not then look it up

Answer: 11 < x < 35

suppose: the length of the third side is x

because x is the third side of a triangle

=> 23 - 12 < x < 23 + 12

⇔ 11 < x < 35

Step-by-step explanation: