im solving variables 4u = 35 - 3u

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sorry about it being one big block, wasnt sure how u wanted it to be spaced. hope this helps atleast a little, gl

Questions:

(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that [tex]3y + 5y^3[/tex] is the same as [tex]8y^4[/tex]. Which statement shows that it is NOT the same?

Answer:

[tex](x + y) - (x - y) =2y[/tex]

[tex]3y + 5y^3 \ne 8y^4[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex](x + y) - (x - y)[/tex]

Required

Simplify

[tex](x + y) - (x - y)[/tex]

Open brackets

[tex](x + y) - (x - y) = x + y - x + y[/tex]

Collect Like Terms

[tex](x + y) - (x - y) = x - x+ y + y[/tex]

[tex](x + y) - (x - y) = y + y[/tex]

[tex](x + y) - (x - y) =2y[/tex]

Solving (b):

Given

[tex]3y + 5y^3[/tex] and [tex]8y^4[/tex]

Required

Which expression shows they are not the same

The expression that shows this is:

[tex]3y + 5y^3 \ne 8y^4[/tex]

Take for instance; y=2

Substitute 2 for y in [tex]3y + 5y^3 \ne 8y^4[/tex]

[tex]3*2 + 5*2^3 \ne 8*2^4[/tex]

Evaluate all exponents

[tex]9 + 5*8 \ne 8*16[/tex]

[tex]9 + 40 \ne 128[/tex]

[tex]49 \ne 128[/tex]

The above expression supports [tex]3y + 5y^3 \ne 8y^4[/tex]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

Answer:

4 1/2 or -1 1/2

Step-by-step explanation:

1 1/3-3= -1 1/2

1 1/2+3=4 1/2

tip

I need the hold thing to know the question like or the picture

Answer: The function value is 8.

Step-by-step explanation: Substitute 3 for x.

Answer:

Step-by-step explanation:

okay soooo first you must multiply 3 by 2 because 3 is the element of the function (x)

your answer should be 6

now add 2 to your answer (6) and you should get 8

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."

Answer:

12.6

Step-by-step explanation:

Answer:

13.0

Step-by-step explanation:

The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.

According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.

As per the given information in the question,

Length of the ramp, h = 13 feet

Height of ramp from the ground, p = 5 feet

Let the horizontal distance is b.

Then, use the equation of Pythagoras' Theorem,

h² = p² + b²

13² = 5² + b²

b² = 169 - 25

b = √144

b = 12 feet.

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Answer:

Option D

Step-by-step explanation:

5 * 58

= 5 ( 50 + 8 ) ~This is because 50 + 8 is the same as 58, essentially rewriting the problem

5 * 50 + 5 * 8 ~This is distributing the 5, so every term in this the parenthesis is multiplied by 5

250 + 40 ~This is simplifying the problem

290 ~This is the final answer

Answer:

my mind cant take that Kacchan, you know that....

Step-by-step explanation:

sorry I couldn't help Kacchan!!!

Love: Deku <3

Answer:

Step-by-step explanation:

Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)

f(x)=x^2-6x+8

g(x)=x-2

f(x)+g(x)=?

Now f(x)+g(x)

=(x^2-6x+8)+(x-2)

=x^2-6x+8+x-2

= x^2 - 6x + x + 8 -2

=x^2 -5x + 6

I can't change it to standard form but i hope this helps:)

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Answer:

True.

Step-by-step explanation:

We have to tell about the statement true or false

Two triangles that have the same side length will always be congruent

The SSS congruency rule states that if all three sides of one triangle are equal to corresponding three sides of another triangle, then the triangles are congruent.

∴ we say that when the sides are the same then the triangles are congruent.

Hence, the statement is true.

Because the definition of a congruent triangle is a triangle with every side of same length.

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

Answer:

£32 : £96

Step-by-step explanation:

add the parts of the ratio, 1 + 3 = 4 parts

Divide the amount by 4 to find the value of one part of the ratio

£128 ÷ 4 = £32 ← value of 1 part of the ratio, then

3 parts = 3 × £32 = £96

£128 in the ratio 1 : 3 is £32 : £96

The amount, £128 when divided in the ratio 1:3 is; £32: £96.

We are required to divide in the ratio 1:3;

Therefore, we must divide the total by (1+3); so that we have;

Therefore, each unit is £32 and 3× £32 = £96.

The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.

Read more on Ratios;

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Answer:

36m^2

Step-by-step explanation:

A=bh

=6m*6m

=36m^2

Answer: Yes.

Step-by-step explanation:

Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.

In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:

= 180° - (98° + 35°)

= 180° - 133°

= 47°

Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:

= 180° - (35° + 47°)

= 180° - 82°

= 98°

The triangle is congruent as they all have same angles

Answer:

yes because of ASA or AAS

Step-by-step explanation

got it right

Answer: 8 cubes

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length

cube to fit into 1cm will be:

1/(1/8)= 8 cubes

Answer:

Step-by-step explanation:

(x-9)/5))(5) = 2(5)

answer is B

Answer: 270.29 meters

Step-by-step explanation:

This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.

The length of the path which goes around the garden would therefore be the circumference.

Circumference = π * diameter

Diameter = radius * 2

= 43 * 2

= 86 meters

Circumference = 22/7 * 86

= 270.29 meters

Answer:

1196cm^3

Step-by-step explanation:

The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

The volume of a box is the product of the base area and the height of the box,

Volume = base area × height

For the smaller base box,

base = 5 cm by 5 cm,

Therefore, the base area of the smaller base box

= 5 cm × 5 cm

= 25 cm².

Let the height of the smaller base box be h

The volume of the small box = 25 cm² × h

For the larger base box,

The base of 10 cm by 10 cm

Therefore, the base area of the larger base box

= 10 cm × 10 cm  

= 100 cm².

Let the height of the large base box be H.

The volume of the larger base box = 100 cm² × H

Since both boxes have the same volume so,

100 cm² × H  = 25 cm² × h

h / H = 4

h = 4H

Hence, The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

Learn more about a rectangular prism;

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Answer:

The partial sums are increasing in value.

The series converges to the same value as what the partial sums approach.

The partial sums appear to approach 0.33.

The series might converge to One-third.

Step-by-step explanation:

Answer:

The partial sums are increasing in value.

The series converges to the same value as what the partial sums approach.

The partial sums appear to approach 0.33.

The series might converge to One-third.

Step-by-step explanation:

Answer: From the conditions given, the total number of the problems should be 29. This means that the sum of x and y should be 29. With this and the point-system, the best system of equation that is useful for this problem is,

                                     x + y = 29

                                     5x + 2y = 100

Your first answer choice is the correct answer.

Fact: I suggest looking up the question before asking it because  sometimes others have asked the questions and it will be answered. Just letting you know to help you save points.

Answer:

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

just did it

Answer:

-376

Step-by-step explanation:

I hope that this helps you out..

Answer:

-376

Step-by-step explanation:

9514 1404 393

Answer:

  9.109×10^-31

Step-by-step explanation:

The magnitude of a positive number is the number itself.

  9.109×10^-31