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3 years ago

The perimeter of a living room is 68 feet. If the length of the living room is 18 feet,what is the width of the living room

Mathematics

2 answers:

dybincka [34]3 years ago

5 0

Answer:

ok the formula is Width= P /2﹣l

68/2-18=16

the width is 16

Step-by-step explanation:

Natasha_Volkova [10]3 years ago

4 0

Answer:

Step-by-step explanation:

1. 18 + 18 = 36

2. 68 - 36 = 32

3. 32 divided in half = 16

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Does anyone know how to do this?

Colt1911 [192]

Sorry i dont know how

8 0

3 years ago

Half of a set of the parts are manufactured by machine A and half by machine B. Ten percent of all the parts are defective. Six

baherus [9]

Answer:

The probability that a part was manufactured on machine A is 0.3

Step-by-step explanation:

Consider the provided information.

It is given that Half of a set of parts are manufactured by machine A and half by machine B.

P(A)=0.5

Let d represents the probability that part is defective.

Ten percent of all the parts are defective.

P(d) = 0.10

Six percent of the parts manufactured on machine A are defective.

P(d|A)=0.06

Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective :

$P(A|d) =\frac{P(A \cap d)}{P(d)}$

$P(A|d) =\frac{P(d|A)\times P(A)}{P(d)}\\P(A|d)= \frac{0.06\times 0.5}{0.10}$

$P(A|d)= 0.3$

Hence, the probability that a part was manufactured on machine A is 0.3

8 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv

ch4aika [34]

Answer:

Part 1) The function of the First graph is $f(x)=(x-3)(x+1)$

Part 2) The function of the Second graph is $f(x)=-2(x-1)(x+3)$

Part 3) The function of the Third graph is $f(x)=0.5(x-6)(x+2)$

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

$f(x)=a(x-c)(x-d)$

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-3)(x+1)$

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

$-4=a(1-3)(1+1)$

$-4=a(-2)(2)$

$a=1$

therefore

The function is equal to

$f(x)=(x-3)(x+1)$

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

$f(x)=a(x-1)(x+3)$

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

$8=a(-1-1)(-1+3)$

$8=a(-2)(2)$

$a=-2$

therefore

The function is equal to

$f(x)=-2(x-1)(x+3)$

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-6)(x+2)$

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

$-8=a(2-6)(2+2)$

$-8=a(-4)(4)$

$a=0.5$

therefore

The function is equal to

$f(x)=0.5(x-6)(x+2)$

3 0

3 years ago

Solve for w Simplify as much as possible 3(3w-5)=12 plz help ty ;)

Masteriza [31]

Step-by-step explanation:

Simplifying

3(3w + -5) = 12

Reorder the terms:

3(-5 + 3w) = 12

(-5 * 3 + 3w * 3) = 12

(-15 + 9w) = 12

Solving

-15 + 9w = 12

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 9w = 12 + 15

Combine like terms: -15 + 15 = 0

0 + 9w = 12 + 15

9w = 12 + 15

Combine like terms: 12 + 15 = 27

9w = 27

Divide each side by '9'.

w = 3

Simplifying

w = 3

8 0

2 years ago

Read 2 more answers

1. Solve exponential equations: ax=b, where a>0, a≠1, b>0

Brums [2.3K]

Answer:

$x=log_{a}b$

5 0

3 years ago