A furniture factory makes 5 recliners for every 2 couches. If the factory makes a total of 154 recliners and couches in a day, how many recliners were made?

Answers

Answer 1

Answer:

The furniture factory made 44 recliners in a day.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that furniture factory makes 5 recliners for every 2 couches.

Let the number of recliners would be x

And the number of couches would be y

As per the given condition, the equation would be :

⇒ 5x = 2y

⇒ x = 2/5 y

Since the factory makes a total of 154 recliners and couches in a day

So x + y = 154

⇒ 2/5y + y = 154

⇒ 2/5y + 5/5y = 154

⇒ 7/5y = 154

⇒ 7y = 770

⇒ y = 110

Substitute the value of y = 110 in the equation x + y = 154, we get

⇒ x +110 = 154

⇒ x = 44

Therefore, the furniture factory made 44 recliners in a day.

Learn more about the equation here:

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Answer 2

Answer: 5C = 2R
C = 2/5 R
R + C = 154
2/5R + R = 154
2/5R + 5/5R = 154
7/5R = 154
7R = 770
R = 110

C = 44

110/44 = 5/2 (Double checking)

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ASAP What is 7 · 2 3/7 ?

Answers

$7 * 2 (3)/(7) \n \n 7 * (2 * 7 + 3)/(7) \n \n 7 * (14+3)/(7) \n \n 7 * (17)/(7) \n \n (119)/(7) \n \n 17 \n \n Answer: \fbox {17}$

$2 (3)/(7) = ((2\cdot7)+3)/(7) = (14+3)/(7) = (17)/(7)$

$7 \cdot (17)/(7) = \boxed{\bf{17}}$

What is the perimeter of rectangle ABCD on the coordinate plane?

Answers

The perimeter for a rectangle is the total distance around it.
the distance from C to D is 6 units.
The distance from D to A is 5 units
The distance from A to B is 6 units
The distance from B to C is 5 units
Therefore the perimeter of the rectangle ABCD is
6+5+6+5
11+11=22
Therefore the perimeter of this shape is 22 units

What number replaces the ◊?

8 + 5 = 4 + 9
8 + 5 + ◊ = 4 + 9 + 1

Answers

it will be one because 9+4 is 13 and so is 8+5 so if you add 1 to each side it will be 14.

• WILL MARK AS BRAINLIEST • !

Answers

To simply determine if the solution is true. Simply plug in and or substitute the values of w for the expression. Then see if the left hand side is equal to the right side of the equation.

Solving it:

5= -(w+1)

5= -w - 1

W= -1 - 5

W= -6

Hope this helps

Solve the formula for b2. A=1/2h(b1+b2)

Answers

The value of b₂ after simplification is b₂ = $(2A)/(h) - b_(1)$ .

The given expression is $A = (1)/(2) h (b_(1) + b_(2) )$ .

To find the value of b₂ which is on the right hand side of the equation.

Reorder all the terms other than b₂ on left hand side.

The steps are as follows,

$A = (1)/(2)hb_(1) + (1)/(2)hb_(2)$

Add right hand side terms using common denominator as 2.

$A = (hb_(1) + hb_(2))/(2)$

Multiply 2 on both side of the expression and take h common from RHS.

$2A = h(b_(1) + b_(2) )$

Divide by h on both side of the equation,

$(2A)/(h) = b_(1) + b_(2)$

Solve for b₂.

$b_(2) = (2A)/(h) - b_(1)$

The correct solution for $b_(2) = (2A)/(h) - b_(1)$

Learn more about simplification here:

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Firstly, multiply both sides by 2: $2A=h(b_1+b_2)$

Next, divide both sides by h: $(2A)/(h)=b_1+b_2$

Next, subtract both sides by b1, and your answer will be $(2A)/(h)-b_1=b_2$

The second of 2 numbers is 5 more than twice the first. Their sum is 29. Find the numbers

Answers

Call the numbers x and y. Let y be the larger number.
The second of 2 numbers is 5 more than twice the first is y = 2x+5
Their sum is 29 is x+y=29.
Substitute 2x+5 for y in the second equation.x+2x+5=29
3x=24
x=8
y = 2(8) + 5 = 21
Hope the solution helped.
Briemode!:)

so call the numbers x and z
first number=x
second number=z
second of 2 numbers (z) is = 5 more than (5+) twice the first (2x)
z=5+2x
their sum is 29
x+z=29
subsisute 5+2x for z in equation
x+5+2x=29
3x+5=29
subtract 5
3x=24
divide bboth sides by 3
x=8
subsitute 8 for x
z=5+2(8)
z=5+16
z=21

numbers are 8 and 21

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