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3 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Nesterboy [21]3 years ago

5 0

Answer:

Step-by-step explanation:

65÷5=13

nikitadnepr [17]3 years ago

4 0

Answer:

13 ft

Step-by-step explanation:

65/5

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Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).

Romashka-Z-Leto [24]

The equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3) in slope intercept form is $y = \frac{-1}{5}x + \frac{16}{5}$

<h3>Solution:</h3>

Given that a line is parallel to line x + 5y = 10 and passes through the point (1, 3)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c -------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

Given equation of line is x + 5y = 10

$5y = -x + 10\\\\y = \frac{-1}{5}x + \frac{10}{5}\\\\y = \frac{-1}{5}x + 2$

On comparing the above equation of line with slope intercept form,

$m = \frac{-1}{5}$

We know that slopes of parallel lines are equal

So the slope of line parallel to given line is also $m = \frac{-1}{5}$

Let us find the equation of line with slope m = -1/5 and passes through the point (1, 3)

$\text {substitute } m=\frac{-1}{5} \text { and }(x, y)=(1,3) \text { in eqn } 1$

$3 = \frac{-1}{5} \times 1 + c\\\\15 = -1 + 5c\\\\16 = 5c\\\\c = \frac{16}{5}$

Thus the required equation is:

$\text {substitute } m=\frac{-1}{5} \text { and } c=\frac{16}{5} \text { in eqn } 1$

$y = \frac{-1}{5}x + \frac{16}{5}$

Thus the required equation of line is found

3 0

3 years ago

The school that Jack goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 seni

raketka [301]

Answer:

Price of a senior citizen ticket is $4 and price of a student ticket is $15 .

Step-by-step explanation:

Let us assume that the price a senior citizen ticket be x .

Let us assume that the price a student citizen ticket be y .

As given

The school that Jack goes to is selling tickets to a choral performance.

On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.

Equtaions becomes

9x + 8y = 156

As given

The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.

Equations becomes

7x + 9y = 163

Multipy 9x + 8y = 156 by 9 .

81x + 72y = 1404

Multiply 7x + 9y = 163 by 8 .

56x + 72y = 1304

Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .

81x - 56x + 72y - 72y = 1404 - 1304

25x = 100

$x = \frac{100}{25}$

x = $ 4

Putting value of x in the 56x + 72y = 1304 .

56 × 4 + 72y = 1304

224 + 72y = 1304

72y = 1304 - 224

72y = 1080

$y = \frac{1080}{72}$

y = $15

Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .

5 0

3 years ago

If John bought 2.5 kgs of rice for $7.50, then what is the unit price of rice?

Allisa [31]

Answer:

$3 per kg of rice

Step-by-step explanation:

To find the unit price of the rice, you have to divide the price of 2.5 kgs by 2.5 to get to the base unit of 1 kg.

7.50/2.5=3

So, it is $3 for every kg of rice.

4 0

3 years ago

What is the LCM of 6 and 12?

Tresset [83]

LCM of 6 and 12 is 6 because you reduce the two numbers with 2 and in the end, you get 3. So, you multiply the two numbers and you get 6.

3 0

4 years ago

Lynn plotted point G, 3 units to the left and 2 units above point F . Where did Lynn plot point G ?

bekas [8.4K]

Answer:

(2, 6)

Step-by-step explanation:

Point G has a coordinate of x = 5, and y = 4, that is (5, 4).

If Lynn plots point G, such that:

G is 3 units to the left of point F, the x-coordinate of point G = 5 - 3 = 2

G is 2 units above point F, the y-coordinate of point G = 4 + 2 = 6.

Therefore, Lynn plotted point G at x = 2, and y = 6. Which is (2, 6)

3 0

3 years ago