All categories

3 years ago

Substiution method: y + 9 = 1/5x and

Mathematics

1 answer:

uranmaximum [27]3 years ago

4 0

Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
 4x -5(1/5x-9)= -15 x
4x + x+45=-15x
5x +45 = -15x 45=-20x
x=-45/20
x= -9/4

y+9 =1/5x
y = 1/5(-9/4)-9
y = -189/20
(-9/4,-189/20)

You might be interested in

A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower

Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be $x.$

And the number of large mower be $y.$

So, total number of mowers are:

$x+y=30$

$x=30-y\ \ \ ....(1)$

Now, the total sales of mowers are:

$249.99(x)+329.99(y)=8379.70$

Substituting the value of $x$ from equation (1) we get:

$249.99(30-y)+329.99y=8379.70$

$7499.7-249.99y+329.99y=8379.70$

$7499.7+80y=8379.70$

Subtracting both sides by 7499.7 we get:

$80y=880$

Dividing both sides by 80 we get:

$y=11.$

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of $y$ in equation ( 1 ):

$x=30-y\\x=30-11\\x=19.$

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0

3 years ago

What is the solution to the system of equations below? y = -3X+5 and y=4x-2 (1, 2) (1, –18) (–1, 8) (–1, –6)

Maurinko [17]

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

y = 4x - 2 → (2)

Substitute y = 4x - 2 into (1)

4x - 2 = - 3x + 5 ( add 3x to both sides )

7x - 2 = 5 ( add 2 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = (4 × 1) - 2 = 4 - 2 = 2

Solution is (1, 2 )

4 0

3 years ago

Read 2 more answers

Solve for m and n I been stuck on this question for an hour

Crazy boy [7]

Answer:

m = 10 , n = 5 $\sqrt{2}$

Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = $\frac{1}{\sqrt{2} }$ and tan45° = 1 , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{5\sqrt{2} }{m}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

m = 5 $\sqrt{2}$ × $\sqrt{2}$ = 5 × 2 = 10

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

tan45° = $\frac{opposite}{adjacent}$ = $\frac{n}{5\sqrt{2} }$ = 1 , then

n = 5 $\sqrt{2}$

3 0

2 years ago

Which statement describes the definition of a function?

Tom [10]

Answer:

an activity or purpose natural to or intended for a person or thing.

Step-by-step explanation:

: >

3 0

2 years ago

Read 2 more answers

2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?

Talja [164]

Answer:

There are 171 members in the club

Number of boys = 38

Number of girls = 133

Step-by-step explanation:

Let

x = total members of the club

Boys = 2/9x

if there are 95 more girls than boys

Girls = 2/9x + 95

how many girls are there in club?

Total members in the club = boys + girls

x = 2/9x + 2/9x + 95

x = 2+2/9x + 95

x = 4/9x + 95

x - 4/9x = 95

9x-4x/9 = 95

5/9x = 95

Divide both sides by 5/9

x = 95 ÷ 5/9

= 95 × 9/5

= 855/5

= 171

boys = 2/9x

= 2/9 * 171

= 342 / 9

= 38

Girls = 2/9x + 95

= 38 + 95

= 133

Total = 38 + 133

= 171

There are 171 members in the club

Number of boys = 38

Number of girls = 133

5 0

3 years ago