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Sveta_85 [38]
3 years ago
9

What is the solution for the system of equations? Use the substitution method to solve. y=5−3x5x−4y=−3 Enter your answer in the

boxes.
Mathematics
1 answer:
velikii [3]3 years ago
5 0

y=5-3x\\5x-4y=-3\\\\5x-4(5-3x)=-3\\5x-20+12x=-3\\17x-20=-3\\17x=-3+20\\17x=17\\x=17/17\\x=1\\\\y=5-3x\\y=5-3(1)\\y=5-3\\y=2\\\\5x-4y=-3\\5(1)-4(2)=-3\\5-8=-3\\-3=-3

So:

x=1

y=2

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Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax w
maria [59]

Answer

Cost of each jersey $6.75

Cost of each pair of socks $4.69

Cost of sales tax $1.03

Step-by-step explanation:

To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.

6 0
3 years ago
the sum of two numbers is 17 the larger is 4 less than the than twice the smaller find both numbers ​
Tatiana [17]

Answer:

The first number is 10 and a he second number is 7.

Step-by-step explanation:

Small number= 7

Big number= 7*2=14-4

=10

4 0
3 years ago
Please help me :/
inessss [21]

Answer:

The answer to your question is:

Step-by-step explanation:

  m ∠ 1  = 27°

 m ∠ 1 and m ∠ 2 are supplementary

m ∠ 1 + m ∠ 2 = 180°

27° + m ∠2 = 180°

m ∠ 2 = 180° - 27°

m = 2 = 153°

7 0
3 years ago
The probability that a customer of a network operator has a problem about you needing technical staff's help in a month is 0.01.
snow_tiger [21]

Answer:

(a) average calls = 5  

(b) probability that there is exactly one call in 6 consecutive monts = 0.038

Step-by-step explanation:

Let event of a customer requiring help in a particular month = H

and event of a customer not requiring help in a particular month = ~H

Given

p= 0.01,  therefore

Number of households, n = 500.

Binomial distribution:

x = number of households requiring help in a particular month

P(x,n,p) = C(x,n)*p^x*(1-p)^(n-x)

where

C(x,n) = n!/(x!(n-x)!) is the the number of combinations of x objects out of n

(a) Average number of households requiring help = np = 500*0.01 = 5

(b)

Probability that there are no calls requiring help in a particular month

P(0), q= C(0,n)*p^0(1-p)^(n-0)

= 1*1*0.99^500

= 0.006570483

Applying binomial probability over six months,

q = 0.006570483

n = 6

x = 1

P(x,n,q)

= C(x,n)*q^x*(1-q)^(n-x)

= 6!/(1!*5!) * 0.006570483^1 * (1-0.006570483)^5

= 0.038145

Therefore the probability that in 6 consecutive months there is exactly one month that no customer has called for help = 0.038

3 0
2 years ago
What is 5 more than the quotient of a number and 6 equals 7
loris [4]

Answer:

x/6 + 5 = 7

x/6 = 2

x = 12

Step-by-step explanation:

6 0
3 years ago
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