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Naily [24]
4 years ago
8

Please Help! Will mark brainiliest!! 1. y varies directly as x and inversely as z.

Mathematics
1 answer:
Paladinen [302]4 years ago
8 0

Answer:

x = 5

z =2

y =4.4

Step-by-step explanation:

y varies directly as x

y = kx

and inversely as z

y = kx/z

Putting in the numbers in the first line of the table, we can solve for k

13.75 = k * 25/4

Multiply by 4

13.75*4 = 25k

55 =25k

Divide by 25

55/25 = 25k/25

2.2 = k

Now we can fill in the table

y = 2.2 x/z

Row 2 we need to find x

1 = 2.2 x/11

Multiply by 11

11 = 2.2 x

Divide by 2.2

11/2.2 = 2.2x

5 =x

Row 3 we need to find z

18.7 = 2.2 *17/z

18.7 = 37.4 /z

Multiply by z

18.7z = 37.4

Divide by 18.7

18.7/18.7z = 37.4/18.8

z =2

Row 4 we need to find y

y = 2.2 *10/5

y = 22/5

y =4.4

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Due Wed 10/21/2020 11:30 po
Bezzdna [24]

Answer:

MARK AS BRAINLIST

w = 4

L = 7

Step-by-step explanation:

L = length of rectangle

w = width of rectangle

L = 3 + w

A = 28

A = L*w

=(3+w) * w

28 = 3w + w^2

w^2 + 3w - 28 = 0

w^2 + 7w - 4w - 28 = 0

w ( w + 7 ) - 4 ( w + 7 ) =0

( w - 4 ) ( w + 7 ) = 0

w = 4. and w = -7

take the postive value, w = 4

therefore L= 3+4 = 7

6 0
3 years ago
Divide. <br><br> 8.844 ÷ 0.04 = <br><br><br> and <br> Divide. <br><br> 0.48 ÷ 120 =
miskamm [114]
221.1 and .0004 are the answers.
6 0
3 years ago
3x+y=7<br> 6x+4y=22<br> can somebody help me solve this problem?
swat32
Hey there!

\boxed{x=1;y=4}

3x + y = 7 \\ \\ &#10;    6x + 4y = 22

y = -3x + 7 \\ \\ Plug \ this \ in \ for \ variable \ (y) \ in \ equation \ \\ \\ &#10;&#10;       6x + 4*(-3x+7) = 22 \\ \\ &#10;       -6x = -6 \\ \\ 6x=6 \ x+1 \\ \\ x=1 \ y=-3x+7 \\ \\ \boxed{y=-3(1)+7=4} \\ \\ \boxed{\boxed{x=1;y=4}}

I hope this helps you!
5 0
4 years ago
Ico
Anna [14]

Answer:

a = 6

Step-by-step explanation:

-6(2 + a) = -48

it is basically 2 steps

Divide by -6 first

(2 + a) = -48 / -6

2 + a = 8

minus the 2

a =6

5 0
3 years ago
Read 2 more answers
The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati
Natali [406]

Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500 

(77,500 - 75000)/2500

2,500/2500

= 1 

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

8 0
3 years ago
Read 2 more answers
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