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2 years ago

Solve the equation

Mathematics

1 answer:

liberstina [14]2 years ago

4 0

Answer:

the correct answer is b

Step-by-step explanation:

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2. Lynn filled up her gas tank on the way home from work. She uses about 1.6

Gelneren [198K]

The amount of gas in her tank after 8 days given the linear equation g = 213 - 1.6d is 200.2 gallons of gas

<h3>Linear equation</h3><h3 />

Gallons of gas used per day = 1.6 gallons
Number of days = d
Quantity of gas = g

The equation

g = 213 - 1.6d

Gas remaining after 8 days

g = 213 - 1.6(8)

= 213 - 12.8

g = 200.2 gallons of gas

Learn more about equation:

brainly.com/question/1884491

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5 0

2 years ago

Find the perimeter of Triangle ABC with the verticies A(-5,5) B(3,-5) and C(-5,1

finlep [7]

Hello!

Let's calculate a distance between two points using the Pythagorean theorem:<span>

</span> $d ^ 2_ {AB} = (x_ {B} - x_ {A}) ^ 2 + (y_ {B} - y_ {A}) ^ 2$

Data:

$x_B = 3 

x_A = -5 

y_B = -5 

y_A = 5 

d_ {AB} =?$

Solving: distance from A to B

$d^ 2_ {AB} = (x_ {B} - x_ {A}) ^ 2 + (y_ {B} - y_ {A}) ^ 2 

d^ 2_ {AB} = (3 - (-5)) ^ 2 + (-5 - 5) ^ 2 

d^ 2_ {AB} = (8) ^ 2 + (-10) ^ 2 

d^ 2_ {AB} = 64 + 100 

d^ 2_ {AB} = 164 

d_{AB} = \sqrt {164} 

d_{AB} = \sqrt {2 ^ 2 * 41} 

\boxed {d_ {AB} = 2 \sqrt {41}}$

<span>Solving:

distance from A to C</span>

$d ^ 2_ {AC} = (x_ {C} - x_ {A}) ^ 2 + (y_ {C} - y_ {A}) ^ 2$

Data:

$x_C = -5
 
x_A = -5
 
y_C = 1 

y_A = 5 

d_ {AC} =?$

$d^ 2_ {AC} = (x_ {C} - x_ {A}) ^ 2 + (y_ {C} - y_ {A}) ^ 2 

d^ 2_ {AC} = (-5 - (-5)) ^ 2 + (1 - 5) ^ 2 

d^ 2_ {AC} = (0) ^ 2 + (-4) ^ 2 

d^ 2_ {AC} = 0 + 16 

d^ 2_ {AC} = 16 

d_ {AC} = \sqrt {16} 

\boxed {d_ {AC} = 4}
$ <span>
</span>

Solving:

distance from B to C

$d^ 2_ {BC} = (x_ {C} - x_ {B}) ^ 2 + (y_ {C} - y_ {B}) ^ 2$

Data:

$x_C = -5 

x_B = 3 

y_C = 1 

y_B = -5 

d_ {BC} =?$

$d^ 2_ {BC} = (x_ {C} - x_ {B}) ^ 2 + (y_ {C} - y_ {B}) ^ 2
 
d^ 2_ {BC} = (-5 - 3) ^ 2 + (1 - (-5)) ^ 2

d^ 2_ {BC} = (-8) ^ 2 + (6) ^ 2 

d^ 2_ {BC} = 64 + 36

d^ 2_ {BC} = 100 

d_ {BC} = \sqrt {100}

\boxed {d_ {BC} = 10}$

<span>Now let's calculate the perimeter of the triangle ABC, knowing that the perimeter is the sum of the sides, then:
</span>
$p = d_ {AB} + d_ {AC} + d_ {BC} 

$

$p = 2\sqrt {41} + 4 + 10$

$
\boxed {\boxed {p = 14 + 2 \sqrt {41}}} \end {array}} \qquad \quad \checkmark$

8 0

3 years ago

Find 15.75 ÷ 0.25 using a Giant One.

MA_775_DIABLO [31]

15.75 divided by 0.25

In every 1 whole number, there are 4 of 0.25

Now we have 15 as whole number so simply multiply 15 x 4

15 * 4 = 60, there are 60 pieces of .025s in 15.

0.75 has 3 0.25s

Now, let’s add 60 + 3 = 63, the answer is 63.

There are 63 pieces of 0.25 in 15.75.

15.75 / 0.25

4 0

3 years ago

mackenzie has a bag that contains 6red marbles,4 blue marbles and 14 yellow marbles.what is the probability that the marble is n

kipiarov [429]

All marbles together are 24 marbles. 14 of those are yellow marbles. 24 subtract 14 is 10. the probability of the marble not being yellow is 10/24

5 0

2 years ago

Read 2 more answers

I need help with this I will mark you if right

kodGreya [7K]

I’m pretty sure it’s c

7 0

2 years ago