A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85 pounds. The truck is transporting 55 large boxes and 60 small boxes. If the truck is carrying a total of 4850 pounds in boxes, how much does each type of box weigh?Large box: Small box: Solve by using system of linear equations.

Therefore , the solution of the given problem of ratio comes out to be  8:17 .

The simple formula "a / b," where "b" may be greater than zero, can be used to determine a group of integers "a" and "b" that appear to be equal. Two ratios are combined to form a ratio. If there were only one man and three ladies, the fraction would be 1:1. In the group, there are 3/4 women and 1/4 males. Parts can be a division between things, a figure, or a particular percentage of a component's volume.

Here,

Let x be the price of plastic per square centimetre used to create visage A.

Consequently, the price of the components for aspect A is:

=> 4πx

The metal sector's size on face B is:

=>  (20/360)π(2cm)² = (1/9)π cm²

The plastic sector's size on face B is:

=>  (340/360)π(2cm)² = (17/9)π cm²

Face B's entire surface size is:

=>  (1/9)π + (17/9)π = 2π cm²

Let y be the plastic's expense per square centimetre used to create face B.

Consequently, the price per cm2 of the metal used to create face B is three and a half times the price per cm2 of the plastic, leading to:

=> (3/2)y = (3/2)(2x) = 3x

The material cost for the metal section on face B is inversely correlated with its area, so:

=>  (1/9)π(3x)

The price of the plastic used in the section on face B is inversely proportional to its area, so:

=>  (17/9)πy

=> 8πx : 17πy = 8 : 17

The response is 8:17,

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Answer:

M=8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

its b because my dad told me to always guess b

Answer:

C

Step-by-step explanation:

In a, b, and d it is a linear pattern (x6, +3, and +2 respectively)

C is not a linear pattern, but another kind of pattern and is therefore the answer. Hope this helps!

Answer:

The correct answer is B 60 - 5 x 4 = 20 x3 = 60

Answer:

60 ways

Step-by-step explanation:

5P3 = 5!/[3!(5-2)!]

= 5!/(3!2!)

= 5 × 4 × 3

= 60

Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

Answer:

±5

Step-by-step explanation:

The double bar around n is absolute value. This means that any number plugged in will turn positive.

Therefore, there are only 2 numbers that can be inputted: -5 and 5.

|-5| = 5

|5| = 5

Answer:

y=-4

Step-by-step explanation:

Since the line is horizontal, there is no slope. So, the equation only has the y-intercept, or -4.

-hope it helps

Answer:

y = - 4

Step-by-step explanation:

You have to use the equation y = m x + c to find the equation of the line.

Here,

m = slope

c = y - intercept

First you have to find the slope of the line.

We know that,

( 0 , -4 ) ⇒ ( x 1 , y 1 )

( 5 , -4 )  ⇒ ( x1 , y2 )

Now let us find the slope of the line.

m = \(\frac{y_{1} -y_2}{x_1-x_2}\)

m = \(\frac{-4-(-4)}{0-5}\)

m = \(\frac{-4+4}{-5}\)

\(m = \frac{0}{-5}\)

m = \(0\)

Now we have to find the y - intercept.

For that, let us use ( 0 , -4 ) .

Let us find now.

y = m x + c

\(-4=0*0+c\)

\(-4=0+c\)

\(-4-0=+c\)

\(-4=c\)

Now let us find the equation of the line.

y = m x + c

y = -4

Hope this helps you :-)

Let me know if you have any other questions :-)

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

X=1, y=2

Step-by-step explanation:

Use the first equation minus the second equation:

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

-x=-1

x=1

1-y=-1

y=2

The true statements about the system of equations are:

Systems A and B have different solutions and we see this because when System B is simplified, it will not look like A.

This is different from Systems A and C which actually have the same solution.

This is shown by the fact that when System C is simplified by dividing the second equation by 3, we get:

4x - y = 18

This shows that System A and System C are the same and so will have the same solution.

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To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

Answer:

3.497x10^3

Step-by-step explanation:

The system of equations 4x + 3y = - 2 and 8x + 6y = - 4 coincide and have an infinite number of solutions.

We know two simultaneous equations have a unique solution when they intersect at a point,

when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.

Given, A system of equations,

4x + 3y = - 2 and 6y = - 4 - 8x.

Rearranging the equations,

4x + 3y = - 2 and 8x + 6y = - 4.

Now, The second equation is a multiple of the first as,

2(4x + 3y) = 2(-2).

Therefore, The system of equations 4x + 3y = - 2 and 8x + 6y = - 4 these two lines coincide and they have an infinite number of solutions as each point of one line lies to another.

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The correct answer is B. Subtract the numerators.When subtracting fractions, the general rule is to have a common denominator. In this case, Juan has factored the denominators of both fractions to (x - 2)(x - 5) and 3(x - 5), respectively.

To subtract the fractions, he can now simply subtract the numerators while keeping the common denominator:

(3x / (x - 2)(x - 5)) - (2x / 3(x - 5))

Next, he can subtract the numerators:

(3x - 2x) / (x - 2)(x - 5)

Simplifying the numerator gives:

x / (x - 2)(x - 5)

Therefore, Juan can rewrite the difference as the expression x / (x - 2)(x - 5) by subtracting the numerators and keeping the common denominator.

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Answer: 7/80

Step-by-step explanation: because you would have to multiply the values of a and b, 7 times 1=7 and 8 times 10=80, so an= 7/80

Answer:

1.) 81

2.) 1/4

3.) 2.25

Step-by-step explanation:

divide in half then square it

Answer:

wut

Step-by-step explanation:

dat dont like like english

hope this helps i did this instead of my ap psych work haha

i didnt rlly check my answers so i hope this are correct <3

Answer is quadrent 1 it is this but I don't know what it is in roman numerals

Answer:

\(12/19\)

Step-by-step explanation:

When multiplying fractions, just multiply the numerator and the denominator. In this case, a whole number, or 3 is also known as \(3/1\).

\(\frac{4}{19} * \frac{3}{1}\)

You will get 12 for the numerator and 19 as the denominator.

2.67 pints of red paint to be added to the paint Mixer in order to achieve the desired 75% red and 25% yellow mixture.

The number of pints of red paint that need to be added to the paint mixer, we need to calculate the amount of paint in the mixer currently and find the difference between that amount and the desired 75% red mixture.

Currently, the paint mixer contains 4 pints of equal amounts of yellow and red paint. Since the yellow and red paint are in equal amounts, we can say that there are 2 pints of red paint in the mixer.

Now, let's calculate the amount of red paint required for the desired mixture. We want the final mixture to be 75% red, which means that 75% of the total mixture should be red.

the total mixture required is X pints. Since 75% of the mixture should be red, we have:

0.75X pints of red paint.

Since the current amount of red paint in the mixer is 2 pints, we can subtract this from the desired amount to find the additional pints of red paint needed:

0.75X - 2 pints.

We want the additional pints of red paint to equal 0, so we set up the equation:

0.75X - 2 = 0.

Solving this equation, we find:

0.75X = 2.

X = 2 / 0.75.

X ≈ 2.67.

Therefore, we need approximately 2.67 pints of red paint to be added to the paint mixer in order to achieve the desired 75% red and 25% yellow mixture.

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We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

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Answer:

26.6 miles

Step-by-step explanation:

distance = speed × time ( time is in hours )

              = 7.6 × 3.5

             = 26.6 miles

Answer:

\(\sf h(x) = y -4\)

Answer:

(x1 + x4)/2 = 4

Step-by-step explanation:

(x1 + x2+ x3 + x4)/4 = 5         mean

x1 , x2 , x3 , x4

median (x2+x3)/2 = 6

(x2+x3) = 12

The smallest integer is x1, the largest integer x2.

The mean of the largest and smallest of the integers is (x1 + x2)/2.

(x1 + x2+ x3 + x4)/4 = 5  

x1 + x2+ x3 + x4 = 20

x1 + 12 + x4 = 20

x1 + x4 = 20 - 12

x1 + x4 = 8

(x1 + x4)/2 = 8/2

(x1 + x4)/2 = 4

Answer:

Step-by-step explanation:

the percent increase would be 7.5%

10% of 10 is 1 dollar

$.75 increase would be a 7.5% increase

Answer:

107.50 because you would take 10.75 and 10 and divide it so he got an extra 7.50 hope this helps

Step-by-step explanation:

;)))

Answer:

B

Step-by-step explanation:

Answer:

w = -12

Step-by-step explanation:

-1/4w - 8 + 8 = 3

-1/4w = 3

w = 3 / -1/4

w = 3*4/-1

w = 12/-1

w = -12