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4 years ago

Use substitution to solve the system of equations. y + x = 3 y = 1.5x + 1

Mathematics

1 answer:

jeyben [28]4 years ago

5 0

Answer:

x=0.8, y=2.2 (0.8, 2.2).

Step-by-step explanation:

y+x=3

y=1.5x+1

-------------

1.5x+1+x=3

2.5x=3-1

2.5x=2

x=2/2.5

x=0.8

y+0.8=3

y=3-0.8

y=2.2

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a recent survey determained that 7 out of 9 students eat school lunch at least once a week. if 54 students were surveyed how man

Setler [38]

Answer:

12 students

Step-by-step explanation:

Given

$Students = 54$

Required

Determine the number of students that eat lunch once a week

In Sets;

If out of 9, at least 7 eats one a week then

9 - 7 eats lunch once a week

$9 - 7 = 2$

In other words;

2 out of 9 students eat lunch once a week

Number of students in this category is then calculated as thus;

$Number = \frac{2}{9} * 54$

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4 years ago

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dlinn [17]

Answer:

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3 years ago

When x is divided by 5 the remainder is 4 and when x is divided by 9 the remainder is 0 what is x?

Marrrta [24]

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5 0

3 years ago

Kameron walks 3 miles in 18 minutes.how many can kameron walk in 120 minutes

Pani-rosa [81]

Answer:

Step-by-step explanation:

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120 / 18 = 6.6

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6 0

3 years ago

Let a = x^2 + 4. Rewrite the following equation in terms of a and set it equal to zero. ( x^2 + 4 )^2 +32 = 12x^2 + 48

Aleks04 [339]

Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
________________________________________________________
The "coefficient" of the "a" term is: " - 12" .
________________________________________________________
The "constant" is: " 32 " .
________________________________________________________

Explanation:
________________________________________________________

Let: "a = x² + 4 " .

Given: (x² + 4)² + 32 = 12x² + 48 ;
______________________________________________________

Factor: "12x² + 48" into " (x² + 4) " ;

"12x² + 48" = 12 (x² + 4) " ;
______________________________________________________

Given: (x² + 4)² + 32 = 12x² + 48 ;

rewrite as; "a² + 32 = 12a " ;

Subtract "12a" from each side of the equation;

"a² + 32 - 12a = 12a - 12a ;

to get:

" a² - 12a + 32 = 0 " .
___________________________________________________
The coefficient of the "a" term; that is:

The "coefficient" of " -12a" ; is: "- 12" .

The constant is: "32" .
___________________________________________________

4 0

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