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Usimov [2.4K]
3 years ago
8

Use the substitution method to solve the system of equations. y=9x x+2y=17

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0
X + 2(9x) = 17
X + 18X = 17
19X = 17

X=17/19
taurus [48]3 years ago
5 0

x+2(9x)=17

x +18x =17

19x=17

19x/19 =17/19

x=17/19

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HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
2 years ago
Help me plz 10 points. its only middle school work. one question.
AnnZ [28]

Answer:

98

Step-by-step explanation:

6 0
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Darya [45]

Answer:

Step-by-step explanation:

so formula for the volume of a cylinder is:

(πr^2)*h

so the diameter is given to us which is

2r=10 cm

then r=5 cm

h=6 cm and r=5 cm so we just plug it in

(5^2)*6π

25*6π

150π cm^3 or approximately 471.239 cm^3

6 0
2 years ago
Read 2 more answers
a jewelry store is having a sale. A ring is now reduced to £840. This is a saving of 40% of the original price. Work out the ori
Helen [10]

£1400

A reduction of 40% means that £840 is 60% of the original price

Divide £840 by 60 to find 1% then multiply by 100 to find original price

original price = £840 × \frac{100}{60} = £1400


7 0
3 years ago
Read 2 more answers
The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes:Based on th
zhannawk [14.2K]

Answer:

C. 4 miles; it represents the original distance of the bee from its hive

Step-by-step explanation:

We are given,

The graph showing the distance between a bee hive for a certain amount of time.

Now, from the graph, we see that,

When the time is 0 mins, then the distance from the bee hive is 4 miles.

<em>Thus, the initial value of the graph is 4 miles and it represents the original distance of the bee hive from the hive.</em>

So, option C is correct.

3 0
3 years ago
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