Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?​

Answer:

Step-by-step explanation:

1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]

4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )

[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]

2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]

All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.

Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )

[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]

The answer is in the image attached. I hope it is helpful.

The least common denominator of two given rational expression are   4x, (x-3) and (x+3).

The factored denominator of two rational terms are called least common denominator of two rational numbers.

To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.

According to the given question

We have two rational expressions

[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]

Now let's factorize the denominators

[tex]4x^{2} -12x =4x(x-3)[/tex]

and, [tex]x^{2} -9=(x+3)(x-3)[/tex]

Therefore,

[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]

⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]

⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]

Therefore, the least common denominator of two given rational expression are   4x, (x-3) and (x+3).

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Answer:

234+112=346

618-346=272

Josh used 272 pounds of strawberries in his fruit salad.

Step-by-step explanation:

Answer:

272

Step-by-step explanation:

Answer:

[tex]360[/tex]

Step-by-step explanation:

[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]

Answer:

The answer is option (d) 360.

Step-by-step explanation:

[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]

[tex]\implies{\tt{5 \times 72}}[/tex]

[tex]\implies{\tt{360}}[/tex]

[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]

Hence, the answer is 360.

[tex]\rule{300}{1.5}[/tex]

✧ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

⠀ ⇝ B - Brackets,

⠀ ⇝ O - Order of powers or roots,

⠀ ⇝ D - Division,

⠀ ⇝ M - Multiplication 

⠀ ⇝ A - Addition

⠀ ⇝ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

✧ BODMAS RULE :

↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

⠀ ↠ Addition (+)

⠀ ↠ Subtraction (-)

⠀ ↠ Multiplication (×)

⠀ ↠ Division (÷)

⠀ ↠ Brackets ( )

[tex]\rule{300}{1.5}[/tex]

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

Answer:

260 students like sports

Step-by-step explanation:

100÷5=20x8=160+100=260

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

Answer:

i think it's letter c. f (n) = 4n-1

Step-by-step explanation:

1x4= 4, 2x4= 8, 3x4= 16, and so on

hope this helps!! :))

Answer:

So k is 75-12=63

Answer:

63

Step-by-step explanation:

subtract 75 from 12

Answer:

Scalene Right

Step-by-step explanation:

Has a right angle and all sides are of different lengths

Answer:

22 people

Step-by-step explanation:

Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.

Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.

So that would be my answer. I hope that helps. :)

Answer:

B) 7.5kg

Step-by-step explanation:

It is between 5kg and 10kg, so it would be 7.5kg.

Answer:

3 + 9x = 11x - 7

simplify

9x + 3 = 11x - 7

subtract 11x from both sides

-11x             -11x

-2x + 3 = -7

get rid of constants first by subtracting by 3 from both sides

-3            -3

-2x = -10

divide both sides by -2 since that is the inverse operation of multiplication

/-2    /-2

X = 5

Answer:

x=5

Step-by-step explanation:

Hi, first the thing to do here is simple,

step 1, collecting like terms

3+9x=11x-7

11x-9x=3+7

2x=10

then divide both by 2.

x= 5

Answer:

120cm

Step-by-step explanation:

hope it helps pls mark brainliest

120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.

A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.

The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.

Area of trapezium =1/2×(sum of parallel sides)×height

                               = 1/2×(5+4)×12

                               = 120cm²

Therefore, 120cm² is the area of the trapezium.

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Your question is incomplete but most probably your full question was,

The area of the trapezium shown below is

Step-by-step explanation:

The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.

Answer:

Yes I agree with Morgan

Step-by-step explanation:

The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.

Answer:

- [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

I hope this helps

Answer:

45 degrees

Step-by-step explanation:

Based on the amount Maigan makes and the amount she spends on the phone per month, the relevant equation using the mentioned variables will be "T = 1,800 - 50m"

Maigan makes $1,800 and this is the source of the cost of the phone.

If she pays $50 per month, the relevant equation to find out the amount of money she would be left with after a number of months is:

= Amount started with - Amount spent per month x number of months

This can be written as:

T = 1,800 - 50 x m

T = 1,800 - 50m

In conclusion, the relevant equation would be T = 1,800 - 50m.

Find out more on forming equations at https://brainly.com/question/4681624.

Answer:

See explanation

Step-by-step explanation:

When you reflect across the y axis the numbers stay the same but the x coordinates become negative.

So the new coordinates are:

F(-4, 6)

G (-9, 6)

H (-7, 1)

I (-4, 0)

J (-1, 3)

Answer:

131 minutes, an = 15 + (n - 1)(4)

Step-by-step explanation:

each time she is increasing by 4 minutes

we can write this equation like this since we have the difference and the first part:

an = 15 + (n - 1)(4)

note

"an" (or ace of n)'s n is in subscript and is written just like a superscript but on the bottom

we can plug in this equation to find ace of 30 (a30)

15 + (30 - 1)(4)

15 + 29*4

116 + 15

a30 = 131

Answer:

1.) 192 minutes

2.) If it's the 9th day : 69 minutes

If it's the 10th day : 64 minutes

Step-by-step explanation:

1.) 5th Day - 32 minutes

32*6= 192 minutes on the 30th day.

2.) If it's the 9th day -

3rd Day - 23 minutes

23*3= 69 minutes

2.)If it's the 10th day -

5th day - 32 minutes

32*2= 64 minutes

Answer:

Step-by-step explanation:

T=29.16

Answer:

c

Step-by-step explanation:

F(4)4 is the x value 4. Find where the line is on th y axis at x = 4

The dot is between 60 and 70 so the answer would be 64

Answer: D. 64

Answer:

the answer is d

Step-by-step explanation:

if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range

Break up the problem, It will still come out as the same answer.

18x3=(10+8)3

10x3 + 8x3

30 + 24

54 Feet²

Hope This Helps

Answer:

1. 54 feet squared

2. 60 servings

3. 4700 feet squared

Step-by-step explanation:

1. 3x18

2. 30x2

3. 94x50

Answer: 36x^2

Step-by-step explanation:

Hi! I usually hate to use links, but I actually just answered this same question for someone else. I would copy and paste, but my copy and paste is screwing up the format making it super hard to read. I'm attaching the link instead. Hope this helps!

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