lison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?

Statements - reasons :-

<1~= <5 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~=<7 - Vertical Angles Theorem

line I || line m - Transitive Property

Answer:

y=2

Step-by-step explanation:

5y-6=(2y*9)-32

5y-6=18y-32

32-6=18y-5y

26=13y

26/13=13y/13

2=y

y=2 [Answer]

Please rate and mark me the brainiest!!

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

Answer:

The second option: The amount a customer pays increases $0.60 per  mile driven.

Step-by-step explanation:

As seen on the graph, we are given the points (20,12) and (35,21).

This means that at 20mi driven, the amount paid is $12, and at 35mi driven, the amount is $21.

To find the rate of change we divide the distance driven by the cost to find the cost per mile:

20/12 = 0.6

35/21 = 0.6

The slope is 0.6, so it costs an extra $0.6 for every mi driven. Therefore it is the second option: The amount a customer pays increases $0.60 per  mile driven.

Hope this helped!

Answer:

The amount a customer pays increases $0.60 per mile driven.

Step-by-step explanation:

$0.6/mi is the rate of change, y = mx + b, so m.is also called rate of change & b is the initial value of x, in the graph b = 0. making m the subject of the equation, then m(roc) = 0.6.

Answer:

8 platters

Step-by-step explanation:

Answer:

94-80=14/80×100=35÷2=17.5

Answer:

18.0833 ft

Step-by-step explanation:

[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height

[tex]217=\frac{24h}{2}[/tex]

[tex]434=24h[/tex]

[tex]h=18.0833[/tex]

Using the definition of the absolute value function, it is found that:

It measures the distance of a point x to the origin, and is defined by:

[tex]|x| = -x, x < 0[/tex]

[tex]|x| = x, x \geq 0[/tex]

As for the expression used in this problem:

[tex]\frac{|x|}{x} = -\frac{x}{x} = -1, x < 0[/tex]

[tex]\frac{|x|}{x} = \frac{x}{x} = 1, x > 0[/tex]

Hence:

More can be learned about the absolute value function at https://brainly.com/question/24734454

Answer:

just to be clear the answers are here:

Step-by-step explanation:

If x=1, then |x|/x= 1

If x=7, then |x|/x=1

If x=128, then |x|/x=1

If x>0, then |x|/x=1

If x=-8, then |x|/x=-1

If x=-5, then |x|/x=-1

If x<0, then |x|/x=-1

I hope u have a nice day :)

Answer:5

Step-by-step explanation:

24/4=6

6-1=5

Answer:

w = 5

Step-by-step explanation:

-4 (w+1) = -24

-4w -4 = -24    | +4

-4w = -20        | :(-4)

w = 5

Answer: 2/5

Step-by-step explanation: 2/5 because it is less than 1 so it shrinks.

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees,  79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

            [tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]

Therefore x is 116 degrees.

Hope that helps!

Step-by-step explanation:

that is a strange question. you will see in a moment why.

I suspect your teacher just wants to do the exercise to have a large volume and then see how often a small volume fits into that large volume.

we can do that quickly:

large volume = 10×2×312 = 6240 in³

small (cube) volume = 12×12×12 = 1728 in³

so, we could put 6240/1728 = 3.611111111... cubes into a volume as the prism has.

now why did I phrase this so strangely ?

because the prism not only has volume but also a shape.

it is a narrow but high container with the small dimensions being 10 in and 2 in.

the cubes have a side (or edge) length of 12 in. that is not compatible with the 10 in and 2 in cubes of the prism.

not a single one cube would fit into the prism.

so, the realistic answer is : 0 cubes.

if it does not matter that the cubes would stand out of the prism, we could simply stack a single file of cubes along the height of the prism :

312/12 = 26 cubes.

so, we could stack 26 cubes inside the height of the prism.

so, I conclude, this is either a trick question (and 0 is the true answer), or there is a mistake in the question.

possibly in the dimensions of either the prism or the cubes.

for example, let's assume the cubes have an actual side length of 2 in (and not 12 in).

then the small (cube) volume is : 2×2×2 = 8 in³

and they will fit into the prism also shape wise.

6240/8 = 780 cubes

so, we would need 780 cubes of that size to fill the prism.

or, as another example, the cubes have a side length of 1/2 in.

then the small (cube) volume = 1/2³ = 1/8 in³

6240/(1/8) = 6240 × 8 = 49,920 cubes

in that case we would need 49,920 cubes to fill the prism.

Answer:

x = - 1/2

Step-by-step explanation:

(3/2 - 6x) + 1 = 3 - 5x

-6x + 5/2 = 3 - 5x

5/2 = 3 - 5x + 6x

5/2 = 3 + x

5/2 - 3 = x

-1/2 = x

x = -1/2

Please mark me the brainliest!?!

[tex] \frac{3}{2} - 6x +1 = 3 - 5x \\ [/tex]

Plus sides 6x

[tex] \frac{3}{2} - 6x + 6x + 1 = 3 - 5x + 6x \\ [/tex]

[tex] \frac{3}{2} + 1 = 3 + x \\ [/tex]

Subtract sides -3

[tex] \frac{3}{2} + 1 - 3 = 3 - 3 + x \\ [/tex]

[tex] \frac{3}{2} - 2 = x \\ [/tex]

[tex] \frac{3}{2} - \frac{4}{2} = x \\ [/tex]

[tex]x = - \frac{1}{2} \\ [/tex]

Done.....♥️♥️♥️♥️♥️

Answer:

675 x 78/567

First let's find the product of the numerator;

(675 x 78) = 52,650

Now we divide by 567:

52,650/567 = 92.85, which is around 92.90

Answer:

[tex]y=-x+5[/tex]

Step-by-step explanation:

[tex]2x+2y=10\\2y=10-2x\\y=-2/2x+10/2\\y=-x+5[/tex]

Answer:

10x-9-(9x-10)

=10x-9-9x+10

=10x-9x+10-9

=x+1

Answer:x+1

Step-by-step explanation:

f(x) = x^2 -5

Find f(3)

This means find x when it is 3 so just substitute 3 for x

f(3) = 3^2 -5

= 9 - 5

f(3) = 4

Answer:

f(3)=4

Step-by-step explanation:

f(x)=x^2-5

f(3)=3^2-5

f(3)=3*3-5

f(3)=9-5

f(3)=4

Answer:

above is the solution to the question

Answer:

the answer will be 5.3. area is 0ne over two base times height

Answer:

90degrees

Step-by-step explanation:

I'm pretty sure, terribly sorry if I'm wrong

~Animaljamissofab ♥

nice green square lol

90°  is the measure of angle x°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

the figure is a square,

so, all its angle = 90 degrees

Now, the x = (180-90)=90

Hence, 90°  is the measure of angle x°.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

c=9

Step-by-step explanation:

it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.

Answer:

60

Step-by-step explanation:

Multiply the days by the die (20) and multiply that by the sections (60)

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

first list a few points to find the slope

(1,1) (3, 2)

y2 - y1/x2 - x1

2 - 1/3 - 1

1/2

y = 1/2x + b

to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)

(-1, 0)

0 = 1/2(-1) + b

0 = -1/2 + b

b = 1/ 2

lets check:

point: (-3, -1)

y = 1/2x + 1/2

-1 = 1/2(-3) + 1/2 ?

-1 = -3/2 + 1/2 ?

-1 = -1

Answer:

Slope intercept form;

y = mx + b

If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.

If we look at the slope it rises 1/2

Though we can double check by using two points of the line:-

Δy     y2 - y1

___= ______

Δx      x2 - x1

One point of the line, (1,1)

Second point of the line, (3,2)

Plug it into the formula:

2 - 1          1

____ =  ____, 1/2 is the slope

3 - 1          2

Now we use it in our equation;

y = 1/2x + 0.5

Answer:

No. <BAC and <CAD remain congruent, and m<DAB is still the sum of m<BAC and m<CAD

Step-by-step explanation:

Answer:

No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

Q: What is 9.8x+17=7.6x-16?

A: Your answer should be 2.8867, I tried the best I could.

Answer:

x= -15

Step-by-step explanation:

You subtract 7.6 from 9.8

then you left with 2.2x+17=-16

Subtract 17 from -16 ( -33 )

Then you'll divide 2.2 and -33

x= -15

Answer:

0.25y + 6y

Step-by-step explanation:

multiple everything in the brackets by y

Answer: 2 x 2 x 2 x 3 x 5

Step-by-step explanation:

Hope this helps. Those are all primes that equal 120.

*see attachment for the diagrambifbthe mapping

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.

From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.

These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}

Answer:65

Step-by-step explanation: sorry if its wrong

Answer:

Step-by-step explanation: