Santiago is planning to drive from City X to City Y. The scale drawing below
shows the distance between the two cities with a scale of 1 inch = 11 miles.
City X
- 1 1/2 in.
City Y
What is the actual distance between the two cities?

The distance the actual weight is from the weight shown on the scale is

l x - 7.2 l

In the given statement is :

A store scale measures the weight of objects within 0.4 ounce of the actual weight. The store scale measured an object with an actual weight of x ounces, displaying 7.2 ounces on its screen.

And, Which expression, using absolute value, shows the distance the actual weight is from the weight shown on the scale

Now, Let's start the solution:

A store scale measuring an object with an actual weight = x ounces

and, displaying the weight on its screen is = 7.2 ounces

By using the absolute value

Hence, The distance the actual weight is from the weight shown on the scale is l x - 7.2 l

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Answer:

5 hours

Step-by-step explanation:

28x = 60(440-x)

28x = 60*440 - 60x

88x = 60*440

x = 60*440/88

x = 300mi, distance Jon travels

300mi/60mph = 5hrs, the time it took them to meet

CHECKING OUR ANSWER

60MPH*5HR + 28MPH*5HR = 300MI + 140MI = 440MI

Answer:

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Step-by-step explanation:

Answer:

nose ....................

Answer: You're dividing, and the answer is 1/2, 1/4, 1/3, 1/8

Step-by-step explanation:

we get the value of x as 2.4 units when QR is 18 units.

We are given a segment PR.

We are also given that Q is the mid point of the segment.

So, we get that

PQ = QR

Now, we have that

QR = 18 units

PR = 5 x + 6

We have to sind the value of x.

Substituting the values of PR and QR in the equation, we get that:

5 x + 6 = 18

5 x = 18 - 6

5 x = 12

x = 12 / 5

x = 2.4 units

Therefore, we get the value of x as 2.4 units when QR is 18 units.

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Answer:

47 , 52

Step-by-step explanation:

Answer:

first figure area is 47 square units

second figure area is 52

Answer: 1.31613582522

Step-by-step explanation:

Items purchased:

x packs of pencils,

twice as many packs of erasers, total number of eraser packs = 2x

three times the number of tape rolls, number of tape rolls = 3x

total expenditure = x m + 2xn + 3xp = x(m + 2n + 3p)

We now have two possibilities:

1- All three goods are the same price:

cost of one pencil pack = cost of one eraser pack = cost of one roll of tape = m

x m + 2xm + 3xm = 6xm

total amount spent

2- The three goods are not the same price:

m = the cost of one pencil pack

n = the cost of one pack of erasers

One roll of tape costs p.

total expenditure = x m + 2xn + 3xp = x(m + 2n + 3p)

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

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Answer:

1 2/15 inches

Step-by-step explanation:

First you need to make the denominator of the two fractions match.

4/5 and 1/3

the least common multiple of these is 15

4/5 becomes 12/15

1/3 becomes 5/15

add them together

17/15

subtract 15 from 17 because 15/15 is one

we get 2

put 2 as the numerator and 15 as the denominator

Answer:

$20 an hour

Step-by-step explanation:

20 x 50 = 1,000 and 1,000 x 51 = 51,000

The fluid force against the window is equal to 931.5 lb.

Given the following data:

Generally speaking, the fluid force that is exerted on the fish tank by the seawater is due to the liquid pressure acting over the given area. Also, the fluid force that is exerted on the fish tank is directly proportional to the depth of seawater.

The depth of seawater is given by:

Depth = 28.5 - 1.5

Depth = 27 inches.

Next, we would convert the unit of the depth of seawater and width of viewing portion in inches to feet:

1 inch = 12 feet

Depth = 27 inches to feet = 27/12 = 2.25 feet.

Width = 69/12 = 5.75 feet.

Now, we can calculate the fluid force against the window by using this formula:

Fluid force = (density × depth × width)/2

Fluid force = (64 × 2.25² × 5.75)/2

Fluid force = 1863/2

Fluid force = 931.5 lb.

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Complete Question:

The viewing portion of the rectangular glass window in a fish tank is 69 inches wide and runs from 1.5 inches below the water's surface to 28.5 inches below the surface. Find the fluid force against this portion of the window. The weight-density of seawater is 64 lb/ft. What is the fluid force against the window?

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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Answer:

1 in^2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width )

using the property [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a , then

A = 2[tex]\sqrt{7}[/tex] × 10[tex]\sqrt{7}[/tex]

  = 2 × 10 × [tex]\sqrt{7}[/tex] × [tex]\sqrt{7}[/tex]

  = 20 × 7

  = 140 ft²

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

the perimeter (P) is calculated as

P = 2(l + w)

  = 2(2[tex]\sqrt{7}[/tex] + 10[tex]\sqrt{7}[/tex] )

 = 2(12[tex]\sqrt{7}[/tex] )

 = 24[tex]\sqrt{7}[/tex] ft

Answer:

Definition of perpendicular lines

Step-by-step explanation:

Answer:

She made 118% profit.

Step-by-step explanation:

Answer:

a has two solutions for this case.

a₁: [tex]a=-9-b[/tex]

a₂: [tex]a=-1+b[/tex]

Step-by-step explanation:

         [tex]a+b-b=-9-b\\a=-9-b[/tex]

         [tex]a-b+b=-1+b\\a=-1+b[/tex]

➲ I hope this helps you.

The probability that a four is obtained on at least one of the rolls 51.71 %.

We need to use this formula in order to find out the probability of getting 4

1 – 54/64

=1 -  625/1296

=  671/1296

= 51.71%

Hence , the probability that a four is obtained is  51.71 %.

A traditional die is a cube with each of its six faces marked with a different number of dots from 1 to 6. Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that proportion is true. The probability of an event is a number between 0 and 1 , where roughly speaking , 0 indicated impossibility of the event and 1 indicates certainty.

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Answer:

Step-by-step explanation:

Using a system of equations, it is found that the maximum number of people that could be helped with one plane of supplies is: 40,000.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

For this problem, the variables are given as follows, considering the situation described:

Each food kit helped 8 people and each medicine kit helped 6 people, hence the total number of people helped is given by:

T = 8x + 6y.

This is because we consider that people were helped by only one of them, never both.

Each plane could carry no more than 80,000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds, hence:

20x + 10y = 80000

2x + y = 8000

y = 8000 - 2x.

The maximum volume is of 6000 cubic feet, hence:

x + y = 6000.

y = 6000 - x.

Equaling both equations:

8000 - 2x = 6000 - x

x = 2000.

y = 6000 - x = 4000.

Then the maximum number of people helped is:

T = 8x + 6y = 8 x 2000 + 6 x 4000 = 40,000.

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Answer:

8.9 cm

Step-by-step explanation:

We have
[tex]\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}[/tex]

Answer:

D. x ≤ 5

Step-by-step explanation:

The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).

And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5

Shift 2 units left:  y = [tex](x+2)^{2}[/tex]

shift up 9 units:  y =  [tex](x+2)^{2}[/tex]  + 9

reflect in the x-axis:  y = -  [tex](x+2)^{2}[/tex] - 9

y =[tex]x^{2}[/tex]

Shift 2 units left:  y = [tex](x+2)^{2}[/tex]

Then, shift up 9 units:  y =  [tex](x+2)^{2}[/tex]  + 9

Then, reflect in the x-axis:  y = -  [tex](x+2)^{2}[/tex] - 9

Each reference coordinate line is referred to as an axis of the system, or simply an axis (plural axes),  and its origin is at the ordered pair intersection (0, 0). The positions of the perpendicular projections of the point onto the two axes, represented as signed distances from the origin, can likewise be used to establish the coordinates.

The same idea may be used to determine the location of any point in three dimensions using three Cartesian coordinates.

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Answer:

  648 m

Step-by-step explanation:

Given observations of two nests, one at 400 m, and the other at 300 m in a direction 135° from the first, you want to know the distance between the nests.

The law of cosines can be used to find the third side of a triangle, given two sides and the angle between them. It tells us ...

  c² = a² +b² -2ab·cos(C)

In this scenario, we have a=400, b=300, and C=135°. The distance c is then ...

  c² = 400² +300² -2·400·300·cos(135°) ≈ 419,705.63

  c ≈ √419,705.63 ≈ 647.8

The two nests are about 648 meters apart.

Using proportions, it is found that she travels 60 miles from her house to the VAB on days her colleague drives.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The first step is finding the fraction corresponding to the 7 miles, hence considering that the total is of 100% = 1 and the fractions given above, we have that:

1 - 5/6 - 1/20 = 1 - 0.8333 - 0.05 = 0.1167.

The 7 miles represent 0.1167 of the trip, hence:

0.1167x = 7

x = 7/0.1167

x = 60.

She travels 60 miles from her house to the VAB on days her colleague drives.

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Using it's concept, there is a 0.462 probability that a randomly selected male student says that the school should adopt a dress code.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the table, we have that:

Hence the probability is given by:

p = 30/65 = 0.462.

0.462 probability that a randomly selected male student says that the school should adopt a dress code.

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