Write an equation of the line passing through the point (1, 8)​ that is perpendicular to the line x+8y=5​

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

The solution is, 0.75 can be written as fraction = 3/4.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

A terminating decimal, such as 0.75, has an exact number of nonzero digits.

so, it can be written as fraction

0.75

=75/100

=3/4

Hence, The solution is, 0.75 can be written as fraction = 3/4.

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Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

Answer:

y = 5x - 4

Step-by-step explanation:

1. Parallel have the same slope (equation)

- Standard form of an equation of a line: y=mx + b

m = slope

x = x-coordinate

b = y-intercept

y = y-coordinate

SLOPE = \(\frac{y_{2} -y_{1} }{x_{2}-x_{1}}\)

Given that x-2y = 5

and the line has the point:

(-3,-1)

We need to find another point to find the slope

x - 2y = 5

Let's say x = 7 and y = 1

(7, 1)

Now plug it into the slope equation

\(\frac{-3-7}{-1-1} = \frac{-10}{-2} = 5\)

Plug the slope into the standard form of an equation of a line

y = 5x + b

Plug in (7,1)

1 = 5 + b

b = -4

The answer is: y = 5x - 4

Hope this helps :)

Have a great day!

Answer:

\(\frac{2}{3}x + 6 = 10\)

Step-by-step explanation:

Required

Write as equation

Taking the statement one at a time, we have

Two third of x: \(\frac{2}{3}x\)

Plus 6: \(\frac{2}{3}x + 6\)

is 10: \(\frac{2}{3}x + 6 = 10\)

Hence, the equivalent of the given statement is \(\frac{2}{3}x + 6 = 10\)

Answer:

Step-by-step explanation:

1. 65,700. 65,740 65,743 65,743.2 65,743.18

2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19

4. 300. 320. 318 318.3 318.28

area =729 feet square and perimeter =  108 feet

Given the side of a square is 9 cm.

The scale is given as :

1 cm = 3 feet Since 1 cm represents 3 feet.

Therefore, 9 cm will represent = 9 x 3 feet= 27 feet

So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square

And the perimeter =  4 x side= 4 x 27= 108 feet

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The distance is meters per minute so you would multiply the distance per minute by total minutes:

109 x 30 = 3.270 total meters.

1 km = 1000 meters

3,270 meter/ 1000 meters per km = 3.27 km

They swam 3.27 km

Hello! :)

\(\large\boxed{g(3) = -10}\)

If 3 is apart of the domain, then x = 3.

The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:

g(x) = -2x - 4

g(3) = -2(3) - 4

Simplify:

g(3) = -6 - 4

g(3) = -10

The fidget spinner comes in 2 options: color-changing or glow in the dark.

So, it comes 50% probability of 1 option and 50% probability of the other

How do we use dice? We have to use it, but still, maintain the same probability for each outcome.

So, let's say if the dice outcome is 1, 3, or 5 it is color changing, if it is 2,4 or 6 it's glow in the dark. Why? Because the probability is= 3outcomes/6possible = 1/2 = 50%. It is the same.

For the cards, we can say that if the chosen card is a heart or diamond it is color changing and if it is a club or spades it glows in the dark. Why? In this case, the possible outcomes would be 2 out of 4, or 2/4=1/2=50%

The angle of elevation is the angle formed between a horizontal line and a line of sight that is pointing upwards towards an object.

The angle of depression is the angle formed between a horizontal line and a line of sight that is pointing downwards towards an object.

1) Sin 25 = x/15

x = 15 Sin 25

= 6 m

2) Tan 17 = 200/x

x = 200/Tan 17

x = 654 m

3)

Tan 33 = 1500/x

x = 1500/Tan 33

x = 2310 m

4)

x = tan-1(800/1200)

x = 34 degrees

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Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

Answer:

That is a parallelogram.

Step-by-step explanation:

Not a square, not a rectangle, not a trapezoid.

Answer:

3384 Miles in 6 hours

Step-by-step explanation:

94 x 6 would equal how many miles the airplane covers in 1 hour.

1 hour equals 564 miles.

564 x 6 equals 3384 miles in 6 hours

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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Answer: 0.

Step-by-step explanation:

y = f(x) = x as the input y= output of a function.

So the first value is the input to the function.

If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Answer:

One thousand grams is equal to one kilogram, therefore C would be your answer

Step-by-step explanation:

Answer:

9-6r

Step-by-step explanation:

9(1−r)+3r

Use the distributive property to multiply 9 by 1−r.

9−9r+3r

Combine −9r and 3r to get −6r.

Answer: 9−6r

Answer:

-6r + 9

Step-by-step explanation:

9( 1 - r ) + 3r

9 - 9r + 3r

9 - 6r

So, the answer is -6r + 9

Answer:

The second choice

40

Step-by-step explanation:

All the ratos are 10:1

20/2 = 10/1 ==> 10:1

80/8 = 10/1 ==> 10:1

120/12 =10/1 => 10:1

For a 40 serving size the ratio is
40/6 = 20/3 not equal to  10/1

Congruent triangles are defined as having identical side lengths and angles, in any orientation.

The triangles are considered congruent if two pairs of corresponding side lengths are proportional by the same ratio, and the angles are congruent.

This congruency standard is known as the ASA criterion, where a facet is covered among angles that are all identical.

Two triangles are also congruent if the angle and the side included between them in one triangle are equal to the two angles and the side included between them of the other triangle.

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Answer:

60 & 42

Step-by-step explanation:

Just know it.

Good Luck!!

Answer:18 19 20

Step-by-step explanation:"Consecutive"  means that the integers will follow each other in value, for example:  1, 2, 3 or 4, 5, 6.  Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up:   Let x= the first integer     Then    X+1= 2nd consecutive integer   and x+2= 3rd  .  

Suppose that x=1   x+1= 1+1=2   and x+2=1+2=3   However, you need specific consecutive numbers whose sum is 57.  Remember that sum means to add:

x+  (x+1)  + (x+2) = 57                 Addition of all 3 consecutive numbers   Now solve for x

                                                   and substitute into each part to come up with the three integers:

3x + 3= 57        3x=54               x=54/3  =  18            x=18,   x+1= 18+1=19      x+2=18+2=20

Check your answer:  18+19+20=57                 57=57  Check

Hope it helps :)

\(x + 4y = 9 \\

-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)

Cash 2300

Accumulated Depreciation  4940

Gain one of fixtures 240

Store fixtures  7000

From the question, we have

Bonham’s Bakery sold shelving units (store fixtures) that were 13 years old for $2,300 cash.

Accumulated Depreciation = (7000-1300)/15*13

=4940

Gain one of fixtures = 240

Store fixtures = 7000

Multiplication:

Mathematicians multiply the numbers in order to calculate the sum of two or more. A fundamental mathematical operation, it is applied frequently in daily life. In order to combine groups of similar sizes, we use multiplication. An illustration of the fundamental concept of repeated addition of the same number is multiplication. The product of two or more numbers refers to the result of the multiplication, and the factors are the amounts that are being multiplied. It is easier to add the same number repeatedly after it has been multiplied.

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If the triangle ABC is enlarged using the point P as a center, then the point of the dilated triangle will be A'(-3, 2), B'(1, 2), and C'(-1, -2).

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The coordinate of point P will be (5, 4).

Let shift the origin at P, then the coordinate of ABC will be

A(-4, -1), B(-2, -1), and C(-3, -3)

If the scale factor is 2. Then the coordinate of the triangle A'B'C' will be

A'(-8, -2), B'(-4, -2), and C'(-6, -6)

Then shift the origin at (0, 0), then the coordinate of A'B'C' will be

A'(-3, 2), B'(1, 2), and C'(-1, -2)

The graph is shown below.

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Answer:

a = 0 and b = 5

Step-by-step explanation:

0 + 5i = 5i

Answer:

110.5 yd²

Formula's:

Area of triangle:

1/2 × base × height

Area of rectangle:

length × width

Area of the figure:

= area of triangle + area of rectangle's

= 1/2 × 11 × 7 + 3 × 4 + 5 × 3 + 5 × 2 + 7 × 5

= 110.5 yd²

Answer:

110.5 yd²

Step-by-step explanation:

Separate the figure into 1 triangle and 3 rectangles.

(see attached image)

Area 1

Area of a triangle = 1/2 × base × height

                             = 1/2 × (7 + 2 + 2) × 7

                             = 1/2 × 11 × 7

                             = 38.5 yd²

Area 2

Area of a rectangle = width × length

                                 = 3 × (5 + 2 + 2)

                                 = 3 × 9

                                 = 27  yd²

Area 3

Area of a rectangle = width × length

                                 = 5 × (5 + 2)

                                 = 5 × 7

                                 = 35  yd²

Area 4

Area of a rectangle = width × length

                                 = 2 × 5

                                 = 10  yd²

Total Area

Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10

                                                        = 110.5 yd²