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lbvjy [14]
3 years ago
15

What is the value of x in the equation 7x+2v =48 when y =3​

Mathematics
2 answers:
Phantasy [73]3 years ago
4 0

Answer:

3 3/7

Step-by-step explanation:

7x+2v=48

2v. -2

-------

46

7x+46=48

-46. -46

---------------------

7x=2/7. x=2/7=1/7

x=1/7

bonufazy [111]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

7x+2y =48 when y =3

Substitute for y in the equation.

7x + 2(3) = 48

7x + 6 = 48

7x = 48 - 6

7x = 42

x = 42/7

x = 6

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Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $4,400 at
Serhud [2]

Answer:

He paid $253.09 in interest.

Step-by-step explanation:

To find how much did he pay in interest, we use the simple intrest formula, that is given by:

I = Prt

In which I is the value paid in interest, P is the money borrowed, r is the yearly interest rate and t is the time.

In our problem, we have that:

He borrowed $4,400, so P = 4,400

At 4.75% yearly. We measure the time in days, so we have to divide this value by 365. So r = \frac{0.0475}{365}.

From December 26, 2019 to February 21, 2021, there are 422 days, so t = 422.

I = Prt

I = 4,400\frac{0.0475}{365} 422

I = 253.09

He paid $253.09 in interest.

5 0
3 years ago
Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t
zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

 p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

5 0
3 years ago
What is the lcd of (3x)/(x + 3), 3/(x ^ 2 - 9)
Rudik [331]

Answer:

Simplify the denominator.

Tap for more steps...

x

(

x

+

3

)

(

x

−

3

)

⋅

3

x

x

2

−

5

x

+

6

Factor

x

2

−

5

x

+

6

using the AC method.

Tap for more steps...

x

(

x

+

3

)

(

x

−

3

)

⋅

3

x

(

x

−

3

)

(

x

−

2

)

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

(

x

+

3

)

(

x

−

3

)

,

(

x

−

3

)

(

x

−

2

)

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number

1

is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of

1

,

1

is the result of multiplying all prime factors the greatest number of times they occur in either number.

1

The factor for

x

+

3

is

x

+

3

itself.

(

x

+

3

)

=

x

+

3

(

x

+

3

)

occurs

1

time.

The factor for

x

−

3

is

x

−

3

itself.

(

x

−

3

)

=

x

−

3

(

x

−

3

)

occurs

1

time.

The factor for

x

−

2

is

x

−

2

itself.

(

x

−

2

)

=

x

−

2

(

x

−

2

)

occurs

1

time.

The LCM of

x

+

3

,

x

−

3

,

x

−

3

,

x

−

2

is the result of multiplying all factors the greatest number of times they occur in either term.

(

x

+

3

)

(

x

−

3

)

(

x

−

2

)

Step-by-step explanation:

there does that help

6 0
3 years ago
For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le
sp2606 [1]
<h3>The measurement of the central angle is 135 degrees</h3>

<em><u>Solution:</u></em>

<em><u>The length of arc when angle given in degrees is given as:</u></em>

Arc\ length = \frac{ \theta }{360} \times 2 \pi r

Where,

r is the radius

\theta is the central angle in degrees

From given,

r = 6\ feet\\\\Arc\ length = \frac{ 9 \pi }{2}\ feet

Substituting the values we get,

\frac{9 \pi }{2} = \frac{ \theta }{ 360} \times 2 \times \pi \times 6\\\\9 \times 360= \theta \times 24\\\\\theta = 135

Thus the measurement of the central angle is 135 degrees

4 0
3 years ago
If two rectangles have the same area what do u know abt the measures of their sides
kakasveta [241]
In rectangle ABCD
AB * AC = area

In another rectangle WXYZ
WX * WY = area

The sides must be equal or have same multiples and should be divisible by each other
8 0
3 years ago
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