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2 years ago

What is the solution of the system

Mathematics

1 answer:

ozzi2 years ago

7 0

The solution to the system of equation is (14, 6)

1 / 2 x = 10 - 1 / 2 y

8 = x -y

Therefore, let's combine the equation.

<h3>Simultaneous equation:</h3>

1 / 2 x + 1 / 2 y = 10

x - y = 8

x + y = 20

x - y = 8

2y = 12

y = 12 / 2

y = 6

x = 20 - 6

x = 14

Therefore, the solution of the system of equation is (14, 6)

learn more on system of equation here: brainly.com/question/8914228?referrer=searchResults

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A line passes through the point (-2, 6) and has a slope of 6.

TEA [102]

Answer:

y = 6x + 18

Step-by-step explanation:

so first write y = 6x + b (because you have the slope) now to find the y-intercept input the point (-2, 6) and do algebra

6 = 6(-2) + b

6 = -12 + b

b = 18

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2 years ago

Spring flowering bulbs are on sale at austin's garden shop. Travis and sydney want to buy equal amounts of all four kinds. What

zysi [14]

Answer:

Step-by-step explanation:

The problem will be solved by looking for the least common multiple (LCM) of the amounts of all four kinds since they want equal amounts of each.

LCM is defined as the smallest positive integer that is divisible by each of the integers (spring flowering bulbs in this case) involved in the operation.

therefore, we are looking for the LCM of the following integers:

Crocus: 6

Tulip: 4

Daffodil: 3

Hyacinth: 5

The first step to calculate the LCM is to factor each integer (to break it up into numbers that can be multiplied together to get the original number) and express them in terms of powers:

Crocus: 6=2*3

Tulip: 4=2*2= $2^{2}$

Daffodil 3 = 3 (prime numbers only have themselves as factors)

Hyacinth 5=5 (prime numbers only have themselves as factors)

Now, To calculate the LCM we need to multiply all factors we have found ( in this case 2, 3, and 5) but only once and with the maximum power.

$LCM=2^{2} *3*5=4*3*5=60$

This means the least number of each spring flowering bulbs that they can buy to buy equal amounts is 60.

Now this will cost:

Crocus: $\frac{60}{6}*1.65 =10*1.65=16.5$

Tulip: $\frac{60}{4}*3.50 =15*3.50=52.5$

Daffodil: $\frac{60}{3}*1.95 =20*1.95=39$

Hyacinth: $\frac{60}{5}*2.25 =12*2.25=27$

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3 years ago

What is 9.45 rounded to the nearest whole number?

Montano1993 [528]

Answer:

Step-by-step explanation:

9.45 is rounded down to 9 because the number must reach half to round up. To round up to 10, it must be 9.5. hope this helps

5 0

3 years ago

Read 2 more answers

A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the proba

maw [93]

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7 = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

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3 years ago

Need help with this angle don't know what to do with the x

vichka [17]

Hello!

Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:

x + 23 + x + 54 = 180
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I hope this helps :))

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4 years ago