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marishachu [46]
3 years ago
10

Pls instruct me on this.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

For x = ay - bz:

Add bz to both sides:

ay = x + bz

Divide a on both sides:

y = (x + bz)/a

For xy + yz = 10:

Distribute y from the left side:

y * (x + z) = 10

Divide by x + z:

y = 10/(x + z)

For (ab - ac)/z = x:

Multiply by z on both sides:

ab - ac = xz

Take out a from the left side:

a * (b - c) = xz

Divide by b - c on both sides:

a = xz/(b - c)

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Stans steak house has a server to cook ratio of 5 to 2.The total number of servers and cooks is 42. How many servers does Stans
aivan3 [116]

Answer: 30 servers

5+2 = 7

42/7 = 6 sets of employees

5*6 = 30 servers

Step-by-step explanation:

5+2 = 7

42/7 = 6 sets of employees

5*6 = 30 servers

3 0
3 years ago
Anya's team won 5 out of every 7 games this season. If the team played 28 games this season, how many games did they win?
VLD [36.1K]

Answer:

20

Step-by-step explanation:

7 x 4 = 28

so you do 5 x 4 and get 20

7 0
2 years ago
Read 2 more answers
An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w
svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

                               = $3.57

Percentage of reduction = \frac{difference}{original} X 100

                                         = \frac{3.57}{21} X 100\\\\= 17

Therefore, percentage of reduction is 17%

7 0
2 years ago
Please can u answer all the questions!!! Thank u soo much
DiKsa [7]

4.a) 2x=7*3

2x=21

x=21/2 OR

x=10.5

4.b)5x=25*6

5x=150

x=150/5

x=30

4.c)4x=5*14

4x=70

x= 70/4

x=17.5

4.d)4x=9*3

4x=27

X=27/4

X=6.75

4.e)x=0.05*3

X=0.15

4.f)x=0.25*7

X=1.75

4.g)x=0.4*1.5

X=0.6

4.h)x=0.7*2.2

X=1.54

5a)x/7=7-3

X/7=4

X=4*7

X=28

B)2x/5=3+8

2x/5=11

2x=11*5

2x=55

X=55/2

X=27.5

C)2x/3=74-26

2x/3=48

2x=48*3

2x=144

X=72

(I can’t finish all but it is the same method )

5 0
3 years ago
Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
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