Helpppp meee pleaseee

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

step 4. x = 11. (divide both sides by 15)

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Explanation:

When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).

Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.

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A more in-depth look (optional section)

Let's consider the system of equations shown below

[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]

For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.

Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem

y = mx+b

mx+c = mx+b ... replace y with mx+c

c = b .... subtract mx from both sides

But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.

Next, we'll consider this system of equations

[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]

The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now

y = mx+b

nx+c = mx+b

nx-mx = b-c

(n-m)x = b-c

x = (b-c)/(n-m)

Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.

In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.

Answer:

$75

Step-by-step explanation:

15x5=$75

The amount of money Mary has left in her account is $ 45

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of money in Mary's account be = $ 120

The amount of money that gets deducted for each week = $ 5

Total number of weeks elapsed = 15 weeks

So , the equation will be

Total amount deducted after 15 weeks = number of weeks elapsed x amount of money that gets deducted for each week

Total amount deducted after 15 weeks = 15 x 5

                                                                 = $ 75

Therefore , the equation will be

The amount left in Mary's account = total amount of money in Mary's account - Total amount deducted after 15 weeks

The amount left in Mary's account = 120 - 75

                                                         = $ 45

Hence , The amount of money Mary has left in her account is $ 45

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Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

For given cuboid, x < 5

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

⇒ x < 5

Therefore, for given cuboid, x < 5

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Answer:

first point will be at (0, 6)

then from there you want to go down 1 and to the right 3 times also go up 1 and to the left 3 times (do that until you fill up your graph)

Answer: Total (Bill + Tip ) = $ 16 ( Tip = 3$ )

Step-by-step explanation:

i only have the answer :3

Answer:

According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct.

Step-by-step explanation:

Answer:

person above seems corect and he said a and c

Answer:

284.4

Step-by-step explanation:

Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome

284 boxes in the shape of the cubes can be fitted in the truck.

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                   = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                              = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x = [tex]\frac{960}{3.375}[/tex]

x = 284.44

x ≈ 284

     Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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Actually Welcome to the Concept of the Average rate of change.

The average rate of change can be calculated by, finding the change of the two readings and getting a average between them.

here, for x =3 to x =5

1.) in the interval, x =3 to x = 4

the change is ==> 287 - 125 = 162

2.) in the interval, x = 4 to x=5

the change is ==> 549-287 = 262

Now the average ==> 162+262/2 ===> 212

Hence the average rate of change is 212

Given :

Base area of Ms. Jones decorative pyramid = 6 inches²

Height of the decorative pyramid = 15 inches

We know that :

[tex]\color{hotpink}\tt \: volume \: of \: a \: triangular \: pyramid\color{plum} \tt \: = \frac{1}{3}Bh [/tex]

Volume of the decorative pyramid :

[tex] =\tt \frac{1}{3} \times 15 \times 6[/tex]

[tex] =\tt \frac{15 \times 6}{3} [/tex]

[tex] =\tt \frac{90}{3} [/tex]

[tex]\color{plum} =\tt 30 \: {inches}^{3} [/tex]

Therefore, the volume of the decorative pyramid with Ms. Jones = 30 inches³

Answer:

Box 1 is A (top box)

Box 2 is B (middle box)

Box 3 is C (lowest box)

I am not taking computer science, so I am just using visual clues... If this is not worth a lot in your grade, making mistakes is okay. So, you can guess.

Answer:

4√5 + 4√10

Step-by-step explanation:

The perimeter is the sum of all the sides.

Using the coordinates given to us, we can find the sides of the quadrilateral.

d(ab) = √[(x2 - x1)² + (y2 - y1)²]

Given that, we apply that to each and every of the side, and thus we have

d(le) = √[(3 --3)² + (3 - 1)²]

d(le) = √[(6²) + (2)²]

d(le) = √(36 + 4)

d(le) = √40

d(ea) = √[(5 - 3)² + (7 - 3)²]

d(ea) = √[(2)² + (4²)]

d(ea) = √(4 + 16)

d(ea) = √20

d(ap) = √[(-1 - 5)² + (5 - 7)²]

d(ap) = √[-6)² + (-2)²]

d(ap) = √(36 + 4)

d(ap) = √40

d(pl) = √[(-1 --3)² + (5 - 1)²]

d(pl) = √[(-2)² + (4)²]

d(pl) = √(4 + 16)

d(pl) = √20

Perimeter of the quadrilateral is then

d(le) + d(ea) + d(ap) + d(pl)

√40 + √20 + √40 + √20

4√5 + 4√10

Answer:

x = 25

Step-by-step explanation:

[tex] \triangle DGH\sim\triangle DEF... (given) [/tex]

[tex] \frac{DG}{DE} =\frac{GH}{EF} [/tex]

[tex] \frac{52}{91} =\frac{x+3}{2x-1} [/tex]

[tex] \frac{4}{7} =\frac{x+3}{2x-1} [/tex]

4(2x - 1) = 7(x + 3)

8x - 4 = 7x + 21

8x - 7x = 21 + 4

x = 25

Answer:

.9

Step-by-step explanation:

Answer:

pretty sure its b.

hope this helps!

Answer:

i think its none of the above

Step-by-step explanation:

because it can't be vertical since they need to be on opposite sides

it's not complementary because it doesn't equal to 90

it can't be supplementary because line D is not straight

so that's why i think it's none of the above

Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION

Step-by-step explanation: the commutative property is when the numbers are basically swapped

Gl on your assignment :)

Step-by-step explanation:

when you add integers remember that the positive integers move you to the right (so the integer will increase) and negative integers move you to the left (so the integer will decrease)

Hope this helps.

Answer: -270

Step-by-step explanation:

First, simplify the exponent

[tex]-6*(25+20)[/tex]

Then, distribute

[tex]-150+-120[/tex]

Then, subtract(add a negative)

[tex]-270[/tex]

Hope it helps <3 :)

Answer:

2n-9

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

formula for cos theta is ration of adjacent side to hypotenuse side

so, 28 is adjacent side.

and 53 is hypotenuse side.

Thats why the ans is A

The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The value of cosθ can be written as,

Cosθ = Base / Hypotenuse

Cosθ = 28/53

Hence, the correct option is A.

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Basically multiply the x and y coordinates of each point by 1/2

For example, I'll do C which is ( -2 , 10 )

-2 * 1/2 = -1 and 1/2 * 10 = 5

The new coordinate is ( -1 , 5 )

Now you can try the other points

:D

Answer:

yes

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

I can give you the formula if u want

Answer:

three hope this helps you out

The given non-linear function will have three solutions.

A nonlinear system is a system in which the change of the output is not proportional to the change of the input.

Given is a graph of a nonlinear function, we need to find the number of the solution this function holds,

We know that the by studying the graph of any function we can deduce the number of solution,

We know that the number of times graph intersects each other is its solution,

Looking at the graph we can see that the graph is intersecting the graph three times,

Hence, the given non-linear function will have three solutions.

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