math for 3rd grade plz help

Answer:

1) S1 = 4·x² - 12·x + 9

S2 = 12·x² - 26·x + 12

S3 = 6·x² - 5·x - 6

2) S = 10·x² - 33·x + 27

Step-by-step explanation:

The length x in cm > 1.5

Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1

1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height

The base of the triangle ABC = Segment BC = 4·x - 6

The height of the triangle ABC = Segment AB = 2·x - 3

Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9

S1 = 4·x² - 12·x + 9

b) The area of the rectangle CBFG = S2 = Base × Height

The base of the rectangle CBFG = BC = 4·x - 6

The height of the rectangle CBFG = BF = 3·x - 2

The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12

The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12

S2 = 12·x² - 26·x + 12

c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB

The long side of the trapezoid ADEB = BE = 4·x + 1

The short side of the trapezoid ADEB = AD = 2·x + 3

The height of the trapezoid ADEB = AB = 2·x - 3

The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6

∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6

S3 = 6·x² - 5·x - 6

2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27

Answer:

64 child tickets

Step-by-step explanation:

Let's set this up a system of equations. Number child tickets is c and adults are a.

5.1c+8.8a=1144.8

c+a=157

We can now solve by elimination. Let's multiply the second equation by -8.8 so that we are left with the child tickets.

-8.8c-8.8a= -1,381.6

We combine the two equations.

-3.7c=-236.8

Divide both sides by -3.7

c=64

Have a wonderful day! :D

Answer:

38 units.

Step-by-step explanation:

4x + 6 = [tex]\frac{1}{2}(4x + 44)[/tex]      {midpoint theorem}

4x + 6 = [tex]\frac{1}{2}*4x + \frac{1}{2}*44[/tex]

4x + 6 = 2x + 22

4x -2x + 6 = 22

  2x   + 6  = 22

           2x = 22 -6

          2x = 16

            x = 16/2

            x = 8

Length of midsegment = 4x + 6 = 4*8 + 6

                                     = 32 + 6

                                     = 38

Answer:

AY = 16

IY = 9

FG = 30

PA = 24

Step-by-step explanation:

The centroid of the triangle divides each median at the ratio 1: 2 from the base

Let us solve the problem

In Δ AFT

∵ Y is the centroid

∵ AP, TI, and FG are medians

→ By using the rule above

∴ Y divides AP at ratio 1: 2 from the base FT

∴ AY = 2 YP

∵ YP = 8

∴ AY = 2(8)

∴ AY = 16

∵ PA = AY + YP

∴ AP = 16 + 8

∴ AP = 24

∵ Y divides TI at ratio 1: 2 from the base FA

∴ TY = 2 IY

∵ TY = 18

∴ 18 = 2

→ Divide both sides by 2

∴ 9 = IY

∴ IY = 9

∵ Y divides FG at ratio 1:2 from the base AT

∴ FY = 2 YG

∵ FY = 20

∴ 20 = 2 YG

→ Divide both sides by 2

∴ 10 = YG

∴ YG = 10

∵ FG = YG + FY

∴ FG = 10 + 20

∴ FG = 30

Answer:

Step-by-step explanation:

It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

For example, there are 3 pencils in one bag A, and 8 pencils in bag B.

When we compare the two, we can easily observe that bag A has fewer pencils than bag B.

Thus,

Pencils in Bag A       <         Pencils in Bag A

           3                     <                    8

Answer:

17460°

I hope it will be useful.

Answer: D. P * (1 + 0.272/12)¹² + 96 = P * (1 + 0.303/12)¹²

Step-by-step explanation:

Credit Card A deal over the course of a year:

Payments are done per month so values need to be converted to monthly figures.

APR per month = 27.2%/12

Period = 1 year * 12 months = 12

= P * (1 + 27.2%/12)¹² + 96

Credit Card B deal over a year

= P * (1 + 30.3%/12)¹²

The Principal that will enable both cards to offer the same deal will therefore be:

P * (1 + 27.2%/12)¹² + 96 = P * (1 + 30.3%/12)¹²

Answer:

The first 5 terms of the sequence are 2, 4, 8, 16 and 32.

Step-by-step explanation:

Given:

[tex]a_{1}[/tex] = 2

[tex]a_{n}[/tex] = 2[tex]a_{n-1}[/tex]   -----------------(i)

To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).

The first term (when n = 1) has been given as:

[tex]a_{1}[/tex] = 2

The second term (when n = 2) is given as:

[tex]a_{2}[/tex] = 2[tex]a_{2-1}[/tex]

[tex]a_{2}[/tex] = 2[tex]a_{1}[/tex]    (but [tex]a_{1}[/tex] = 2 )

=> [tex]a_{2}[/tex] = 2(2)

=> [tex]a_{2}[/tex] = 4

The third term (when n = 3) is given as:

[tex]a_{3}[/tex] = 2[tex]a_{3-1}[/tex]

[tex]a_{3}[/tex] = 2[tex]a_{2}[/tex]    (but [tex]a_{2}[/tex] = 4 )

=> [tex]a_{3}[/tex] = 2(4)

=> [tex]a_{3}[/tex] = 8

The fourth term (when n = 4) is given as:

[tex]a_{4}[/tex] = 2[tex]a_{4-1}[/tex]

[tex]a_{4}[/tex] = 2[tex]a_{3}[/tex]   (but [tex]a_{3}[/tex] = 8 )

=> [tex]a_{4}[/tex] = 2(8)

=> [tex]a_{4}[/tex] = 16

The fifth term (when n = 5) is given as:

[tex]a_{5}[/tex] = 2[tex]a_{5-1}[/tex]

[tex]a_{5}[/tex] = 2[tex]a_{4}[/tex]   (but [tex]a_{4}[/tex] = 16 )

=> [tex]a_{5}[/tex] = 2(16)

=> [tex]a_{5}[/tex] = 32

Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.

Answer:

it's just asking you to rearrange it into y=mx+c form

2y=2x-2

y=x-1

x+y=9

y = -x+9

Answer:

D. x-5 / x+4

Step-by-step explanation:

(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)

=-3x (x²-3x-10) / -3x(x²+6x+8)

=-3x(x+2)(x-5) / -3x(x+2)(x+4)

=x-5 / x+4

Answer:

oooooooof

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

2x + 8 = 4x - 10 Given

2x + 8 - 2x = 4x - 10 - 2x Subtraction property of equality

8 = 2x - 10

8 + 10 = 2x - 10 + 10 Addition property of equality

18 = 2x

18 ÷ 2 = 2x ÷ 2 Division property of equality

9 = x Answer

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Solution  of the given equation 2x+8=4x-10 is x=9.

Solution of an equation are the values to the unknown variables that makes the equality in the equation true

Given equation is :

2x+8=4x-10,   consider it as equation (1)

To solve this equation firstly, we isolate the terms which contain x in the LHS and the constant terms in RHS.

Then, the equation will become:

2x-4x = -10-8

Solving the LHS and RHS:

-2x = -18

Divide both the sides by -2, we get:

x = -18/(-2)

x = 9

That means x=9 satisfies the given equation.

Hence, x=9 is the solution of the given equation.

Learn more about solution of the equations here:

https://brainly.com/question/28741857

#SPJ6

Answer:

The number is 83,194

Step-by-step explanation:

The value of 9 in the given number is 900

So

out of all the options, we want a number in which the value of 9 there is 1/10 of 900 which is 90

The correct answer here is 83,194

Answer:

16. (See the attachment)

Step-by-step explanation:

None

Answer:

Step-by-step explanation:

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Answer:

27/.6=45 total in collection

45-27=18

18/3 per week=6 weeks

Step-by-step explanation:

The number of weeks until your collection is complete should be 6 weeks.

Since You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action

So here total collection should be

[tex]27\div 0.60[/tex] = 45

Now the number of weeks should be

[tex]= (45 - 27) \div 3[/tex]

= 6

hence, The number of weeks until your collection is complete should be 6 weeks.

Learn more about number here: https://brainly.com/question/2611493

Answer:

2a

Step-by-step explanation:

up at the top is the answer

Answer:

There are [tex]35.74\ cm^2[/tex] of felt left over.

Step-by-step explanation:

The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.

The portion of felt leftover is the difference between the area of the square and the area of the circle.

The area of the square is:

[tex]A_s=(8\ cm)^2=64\ cm^2[/tex]

The area of the circle is:

[tex]A_c=\pi(3\ cm)^2=3.14*9\ cm^2[/tex]

[tex]A_c=28.26\ cm^2[/tex]

The remaining area of the piece of felt is:

[tex]A=64\ cm^2-28.26\ cm^2[/tex]

[tex]A=35.74\ cm^2[/tex]

There are [tex]35.74\ cm^2[/tex] of felt left over.

Answer:

1/4x

4/x

128/x

Step-by-step explanation:

Brainliest pls Hit the thank you button

Answer:

welp umm no one can answer lol

Step-by-step explanation:

Answer:

5=12

3=? then Criss cross it and you will get 12*3 divided by 5 then you get 7.2

so the answer will be 7 days

Answer:

29

Step-by-step explanation:

7 1/4 + 9 3/4 = 17

6 1/4 + 5 1/2 = 12

17 + 12 = 29

Answer:

She drank 28,75 liters.

Answer:

x = 10

Step-by-step explanation:

x = 10

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

[tex] \tan(41°) = \frac{26}{x} [/tex]

[tex]0.869 \times x = 26[/tex]

[tex]x = \frac{26}{0.869} [/tex]

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

x [tex]\geq[/tex] -2

Step-by-step explanation:

Remove parentheses and distribute -4 and -9, calculate the difference,  move the variable and constant,  collect like terms. ( -2x [tex]\leq[/tex] 4), and divide both sides, and you'll end with -2.

Answer:

x > -2 (last choice)

Step-by-step explanation:

Using the distributive property multiple -4 to both integers

-24 - 20x - 7 < -18x - 27

-31 - 20x < -18x - 27

Add 27 on both sides

-4 - 20x < -18x

Add 20x on both sides

-4 < 2x

Divide each side by 2

x > -2

x^2 + 8x - 4 = 0

(x^2 + 8x + 8/2^2) - 4 - 8/2^2 = 0

(x^2 + 8x + 16) - 4 - 16 = 0

(x^2 + 8x + 16) - 20 = 0

(x + 4)(x + 4) - 20 = 0

The number that is to be added to complete the square is 8/2^2, or 16.

9515 1404 393

Answer:

  2×5×11 = 110

Step-by-step explanation:

The factors are separated by the × (multiplication) sign. Common factors are numbers that are factors of both products.

It can be useful to list the factors in order of size, for easier comparison.

1st product:

  2 × 3² × 5² × 11 × 17

2nd product:

  2 × 5 × 7 × 11² × 13²

Ignoring exponents (for the moment), the numbers that appear in both products are 2, 5, 11. (I've highlighted them so you can see them more easily.)

Now, we consider the exponents. We want to determine the lowest exponent of each of these factors.

2 has the same exponent in both products: 1

5 has exponents of 2 and 1. The least of these is 1.

11 has exponents of 1 and 2. The least of these is 1.

So, the greatest common factor (GCF) is ...

  2¹ × 5¹ × 11¹ = 2×5×11 = 110 . . . . greatest common factor

(Comment on answer format: the given numbers are shown as a product of factors. It is not clear whether the desired answer format should match, or should have the value multiplied out. We have shown both ways.)

_____

Check

If we factor out the "greatest common factor," the given products can be written as ...

  (2×5×11) × (3² × 5 × 17)

  (2×5×11) × (7 × 11 × 13²)

You will notice that the right factors of each of these products have nothing in common. So, we have found the greatest common factor.

Answer:

A. 11/12

Step-by-step explanation:

A. 11/12

B. 9/16

C. 1/12

D. 9/24

Cara = 8/12 candy bars

Marcus = 1/4 candy bars

What fraction of the candy bar did Cara and Marcus eat altogether?

Total candy bars = Cara + Marcus

= 8/12 + 1/4

= 8+3/12

= 11/12 candy bars

The correct answer is A. 11/12

Answer:

-a - b - 4c

Step-by-step explanation:

(a  - b)  -  (4a + 3c) - (c - 2a) = a - b - 4a - 3c - c + 2a

                                            = a - 4a + 2a  - b  - 3c - c  {Combine like terms}

                                            = -a - b - 4c

Answer: D, 1000 m^3.

Step-by-step explanation: We can find the volume by breaking down the surface area.

The formula for the surface area of a cube is 6*x^2 with x being the side length and 6 being the number of sides. Thus we can form the equation as follows:

600 = 6*x^2 - original equation

x^2 = 100 - divide both sides by 6

x = 10 - square root both sides

Thus, the side length is 10.

We can find the volume with the formula l*w*h or, in this case, x^3.

We know that x = 10, so x^3 must be 1000.

Thus, the answer is D, 1000 m^3.

Answer:

give the other guy brainliest please

Step-by-step explanation:

and yes it is 1000