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SVETLANKA909090 [29]
3 years ago
6

Solve the following Systems of Equations by Substitution or Elimination

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

(-1,2)

Step-by-step explanation:

y = -2x ______(1)

7x - 8y = -23 ________(2)

Substituting the value of y in eqn.(1) into eqn (2);

7x - 8(-2x) = -23

7x + 16x = -23

23x = -23

x = -1

y = -2(-1) = 2.

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Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. Later, she realized she did not have enough plants and bou
Anni [7]

Answer: the cost of each bush is $15

the cost of each flower is $2

Step-by-step explanation:

Let x represent the cost of each bush.

Let y represent the cost of each flower.

Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as

12x + 30y = 240- - - - - - - - - - -1

Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as

7x + 10y = 125- - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 12, it becomes

84x + 210y = 1680

84x + 120y = 1500

Subtracting, it becomes

90y = 180

y = 180/90

y = 2

Substituting y = 2 into equation 1, it becomes

12x + 30 × 2 = 240

12x + 60 = 240

12x = 240 - 60 = 180

x = 180/12

x = 15

8 0
3 years ago
A person needs to fill 18 water jugs with a hose. Filling the first 3 jugs has taken 5 minutes. How long to finish filling the r
lyudmila [28]

Answer:

10.8 minutes

Step-by-step explanation:

Given data

We are told that the number of Jugs is 18

Filling the first 3 jugs has taken 5 minutes

let us find the filling rate

Rate= 3/5

Rate= 0.6 Jugs per minute

Hence the rate of filling is 0.6 Jugs per minute

Therefore the time take to fill the remaining 16 jugs is

TIme= Rate*Number of Jugs

TIme= 0.6*18

Time= 10.8 minutes

8 0
3 years ago
You deposit $400 in an account that pays 2.4% annual interest compounded monthly a. When does your balance first exceed $500? af
shtirl [24]

Answer:

The answer is $88

Step-by-step explanation:

The Math.random () function returns a floating-point, pseudo-random number in the range 0–1 (inclusive of 0, but not 1) with approximately uniform distribution over that range — which you can then scale to your desired range.

3 0
3 years ago
Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 48 cents?
tamaranim1 [39]
This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.

Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.

Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
90 / 48 = 1.875

This means 48 • 1.875 = 90 and x • 1.875 = 15.
Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
15 / 1.875 = 8
So x is 8.

Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.
3 0
3 years ago
57 students choose to attend one of three after school activities: football, tennis or running.
skelet666 [1.2K]

The probability that the randomly selected student chose running is; 12/57

<h3>Solving Probability Questions</h3>

Total number of students = 57

Total number of boys = 24

Total number of girls = 33

Number of Girls that chose football = 17

Number of boys that chose football = 14

Number of students that chose Tennis = 14

Now, number of students that chose running will be;

Number of students that chose running = 57 - (31 + 14) = 12

Thus, probability that a randomly selected student chose running = 12/57

Read more about probability selection at; brainly.com/question/251701

3 0
2 years ago
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