Solve 5p(2p - 3)(p + 7) = 0.
p=___, p=____, p=_____

[tex]\bold{\huge{\purple{\underline{ Solutions}}}}[/tex]

We have,

[tex]\sf{ HE = 2x cm \: and \: OR = ( x + 5)cm}[/tex]

We know that,

From above property,

[tex]\sf{ HE = OR }[/tex]

[tex]\sf{ 2x = x + 5}[/tex]

[tex]\sf{ 2x - x = 5}[/tex]

[tex]\sf{ x = 5}[/tex]

Thus, The value of x is 5cm

Therefore,

The value of HE

[tex]\sf{ = 2x}[/tex]

[tex]\sf{ = 2× 5}[/tex]

[tex]\sf{\red{ = 10 cm}}[/tex]

The measurement of HE is 10 cm

Hence, Option A is correct

We have,

[tex]\sf{m}{\sf{\angle{HER = 5y - 26° \: and\: m }}}{\sf{\angle{ ROH = 2y + 40°}}}[/tex]

From above property,

[tex]\sf{m}{\sf{\angle{HER = }}}{\sf{\angle{ ROH}}}[/tex]

[tex]\sf{ 5y - 26° = 2y + 40°}[/tex]

[tex]\sf{ 5y - 2y = 40 + 26}[/tex]

[tex]\sf{ 3y = 40 + 26}[/tex]

[tex]\sf{ y = 66/3}[/tex]

[tex]\sf{ y = 22°}[/tex]

Thus, The value of y is 22°

Therefore,

The measurement of Angle HER

[tex]\sf{ = 5 × 22 - 26 }[/tex]

[tex]\sf{ = 110 - 26 }[/tex]

[tex]\sf{\red{= 84° }}[/tex]

The measurement of angle HER is 84°

Hence option D is correct

We have,

[tex]\sf{ HZ = 4a - 5 \:and \:RZ = 3a + 5 }[/tex]

[tex]\sf{ 4a - 5 = 3a + 5 }[/tex]

[tex]\sf{ 4a - 3a = 5 + 5}[/tex]

[tex]\sf{ a = 10}[/tex]

Thus, The value of a is 10

Therefore,

The measurement of HZ

[tex]\sf{ = 4 × 10 - 5 }[/tex]

[tex]\sf{ = 40 - 5 }[/tex]

[tex]\sf{\red{= 35 \: cm }}[/tex]

The measurement of HZ is 35 cm

Hence, Option C is correct

We have ,

One diagonals = 5x - 47

Another diagonal = 2x + 34

From above property,

[tex]\sf{ 5x - 47 = 2x + 34 }[/tex]

[tex]\sf{ 5x - 2x = 34 + 47}[/tex]

[tex]\sf{ 3x = 81 }[/tex]

[tex]\sf{ x = 81/3 }[/tex]

[tex]\sf{ x = 27}[/tex]

Thus, The value of x is 27

Hence, Option A is correct

We have,

The sides of parallelogram GAME are (7x - 1 ) , ( 5x + 10 ) , (6x) , ( 7x - 2 )

From above property,

[tex]\sf{ 7x - 1 = 6x }[/tex]

[tex]\sf{ 7x - 6x = 1 }[/tex]

[tex]\sf{ x = 1 }[/tex]

[tex]\sf{ 5x + 10 = 7x - 2}[/tex]

[tex]\sf{ 7x - 5x = 10 + 2 }[/tex]

[tex]\sf{ 2x = 12}[/tex]

[tex]\sf{ x = 12/2 }[/tex]

[tex]\sf{ x = 6 }[/tex]

Thus, measurements of parallelogram GAME in inches is 1 and 6 .

Hence, Option B is correct

We have,

[tex]\sf{ ES = 18 cm}[/tex]

From above we can say that,

[tex]\sf{ OE = OS + ES }[/tex]

[tex]\sf{ OE = 2ES ( OS = ES bisector}[/tex]

[tex]\sf{ OE = 2 × 18 }[/tex]

[tex]\sf{ OE = 36cm }[/tex]

Thus, The value of OE is 38 cm

Therefore,

[tex]\sf{ OE = NP }[/tex]

[ Diagonals of the given rectangle ]

[tex]\sf{\red{NP = 36 cm }}[/tex]

Thus , The value of NP is 36 cm

Hence, Option C is correct

Hey there!

233 ÷ 45 (67 × 89)

= 233 ÷ 45(5,963)

= 1,389,379 ÷ 45

= 30,875.08888888889

Therefore, your answer is:

30,875.08888888889

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

The answer is (30875.0888889)

there is a literal calculator that you can look up that will give you the answer.

Answer:

all you to do is get your calculator or you can just ask an adult for help or you can do it yourself or you can solce them step by step

Answer:

If the clock goes up 5 minuets, what time would it be? Good luck loggan!

Answer:

1: 7:15

2: 10:35

3: 5:50

Have a good day

Answer:

y = 14  x = 2

Step-by-step explanation:

what we know:

x + y = 16

x = 3y - 40

3y - 40 + y = 16

4y - 40 = 16

add 40 to both sides

4y = 56

y = 14

x = 3(14) - 40

x = 42 - 40

x = 2

List the following words in order from smallest to

largest

C. DNA, Gene, Chromosome, Nucleus

Answer:

A. Gene, DNA, Chromosome, Nucleus

Step-by-step explanation:

Hope this helps. Please give Brainest if it did. Good luck

It will take the turkey about 3 hours to roast.

Answer:

On the first day of July he will need to have saved $4098 for his new car.

Step-by-step explanation:

So we know that on March he save $16 and the amount he needs to save each month increases by 4 times the previous month’s amount.

We can conclude then for April he would need to have saved $64.

In May, if we repeat the pattern of multiplying the previous month’s savings by 4, Warren would have saved $256.

We will continue this pattern for June and July.

In July we will multiply $1024 (total saved in June) by 4 to find that in July, Warren will have needed to save $4098

Hope this helps you out :)

Answer:262144

Step-by-step explanation:

If your doing this on savvas for school this will be the answer not the other

Answer:

it will take Tommy 30 minutes

Answer:

It'll take him 30 minutes.

Step-by-step explanation:

He estimates that it'll take 10 minutes for each room. His mom asked him to sweep 3 rooms. If you take 10 and multiply it by 3, you get 30.

Answer:

yes d is the correct answer

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

22 x 3 = 66

1/3 would be 22

Answer:

1.7 x 10= 17 (moving one decimal point to the right)

1.7 x 100=170 (moving two decimal points to the right)

1.7 x 1000= 1700 (moving 3 decimal points to the right)

Reflect: The decimal changes depending on the number of zeros in each multiple of ten that it is multiplied by. If it is multiplied by 10 for instance, the decimal is moved one place to the right since there is one 0, if by 100 then it is moved two places to the right since there are 2 zeros, and if by 1000 then it is moved 3 places to the right for the 3 zeros.

Answer:

This is the right one that's true

[tex] \frac{2}{5 } = 0.4[/tex]

[tex]8.6 = 0.086\%[/tex]

Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

The together rate is the sum of each separate rate.

In this problem, the rates are:

Hence:

[tex]\frac{1}{12} + \frac{1}{x} = \frac{1}{8}[/tex]

[tex]\frac{x + 12}{12x} = \frac{1}{8}[/tex]

[tex]12x = 8x + 96[/tex]

[tex]4x = 96[/tex]

[tex]x = \frac{96}{4}[/tex]

[tex]x = 24[/tex]

If Mrs Adams camps alone, she will use all the water in 24 hours.

More can be learned about the together rate at https://brainly.com/question/25159431

Answer:

i need the answer

Step-by-step explanation:

above is the answer. typing is not getting allowed dunno why

Answer:

Step-by-step explanation:

44) I’ll try to explained detailed as possible.

So first of all we have: 180-120=60 => this is the value of angle(BCA)

=> we know that a triangle has 180 degree in total =>

Now we will have to add all angles,their sum will be equal to 180.

=> (2x+28)+(3x-13)+60=180

2x+28+3x-13=180-60

5x+15=120

5x=105

x=105/5

x=21

=> m(BAC) = 2x+28=29*2+28=58+28=86 degree.

The volume of the resulting ring is (4/3)π(R³ - r³)

The volume of an object is the amount of space occupied by the object in three dimension.

The volume (V) of a sphere is given by:

V = (4/3)πr³

Where r is the radius of the sphere.

For the sphere with radius R, volume is:

V = (4/3)πR³

The hole with radius r, has a volume of:

V = (4/3)πr³

Hence volume of the ring = (4/3)πR³ - (4/3)πr³ = (4/3)π(R³ - r³)

The volume of the resulting ring is (4/3)π(R³ - r³)

Find out more on Volume at: https://brainly.com/question/1972490

Answer:

Step-by-step explanation:

Given equation:

Multiply all terms by (x - 3)(x - 2):

Compare this to the given form to get:

Correct choice is A

On solving

x=4±√3

So

a=4 and b=3

Answer:

78 degrees

Step-by-step explanation:

this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹

cos⁻¹(8.5/42) = 78.3 degrees

Answer:

2/5

Step-by-step explanation:

No of items =5(0,1,2,3,4)

No of favourable conditions =2(2,3)

Gk, probability =2/5

Answer:

40% chance of success

Step-by-step explanation:

The possible integers chosen are 0, 1, 2, 3, and 4.

Since the numbers are randomly chosen and the numbers 2 and 3 represent a success, and the numbers 0, 1, and 4 represent a failure, and there are 5 possible outcomes, there is a 2/5 chance of success. Therefore, you have an estimated 40% chance of a success.

Answer:

-9

Alternative form:

-[tex]3^{2}[/tex]

----------------------------------------------------

Steps:

1- Cross out the common factor

2- Calculate the sum or difference

3- Calculate the absolute value

4- Calculate the power

5- Calculate the sum or difference

Answer:

B. 10

Step-by-step explanation:

This pair of triangles follows a scale factor. A scale factor is the factor that can get you an exact copy of a triangle, but with bigger or smaller side lengths. In this case, the scale factor is 2 (doing 12/6 on the left side is 2), and dividing that by 20 to get 10. Because we want the smaller triangle, we divide, not multiply. (you could also multiply by 1/2)

Step-by-step explanation:

Given that:

{(x²+y²)/(x²-y²)} = 17/8

On applying cross multiplication then

since, (a/b) = (c/d) ⇛a(d) = b(c)

Where, x = x²+y², b = x²-y², c = 17 and d = 8

So,

⇛17(x²-y²) = 8(x²+y²)

Multiply the number outside of the brackets with variables in the brackets on both LHS and RHS.

⇛17x²-17y² = 8x²+8y²

⇛17x²-17y² - 8x²-8y² = 0

⇛17x²- 8x² - 17y² - 8y² = 0

⇛9x² - 25y² = 0

⇛9x² = 25y²

⇛9/25 = y²/x²

⇛25/9 = x²/y²

⇛x/y = √(25/9)

⇛x/y = √{(5*5)/(3*3)}

⇛x/y = 5/3

Therefore, x:y = 5:3

Let x = 5a and y = 3a

Now, (x³+y³):(x³-y³)

= {(x³+y³)/(x³-y³)} = [{(x+y)(x²-xy+y²)}/{(x-y)(x²+x-y+y²)}]

= [{(5a)³ + (3a)³}/{(5a)³ - (3a)³}]

= [{(5*5*5*a*a*a) + (3*3*3*a*a*a)}/{(5*5*5*a*a*a) - (3*3*3*a*a*a)}]

= {(125a³ + 27a³)/(125a³ - 27a²)}

= {(152a³)/(98a³)}

= 152/98

Write the obtained fraction in lowest form by cancelling method.

= {(152÷2)/(98÷2)}

= 76/49

Therefore, , (x³+y³):(x³-y³) = 76/49

Answer: Hence, the required value of (x³+y³):(x³-y³) is 76/49.

Please let me know if you have any other questions.

Answer:

  76:49  or  49:76

Step-by-step explanation:

The second relation gives an expression for y in terms of x:

  [tex]\dfrac{x^2+y^2}{x^2-y^2}=\dfrac{17}{8}\\\\8x^2+8y^2=17x^2-17y^2\qquad\text{cross multiply}\\\\25y^2=9x^2\qquad\text{add $(17y^2-8x^2)$}\\\\5y=\pm3x\qquad\text{take the square root}\\\\y=\pm\dfrac{3}{5}x\qquad\text{divide by 5}[/tex]

Substituting into the expression we want the value of, we can factor out x^3 to get ...

  [tex](x^3+y^3):(x^3-y^3)=(1\pm(3/5)^3):(1\mp(3/5)^3)=(125\pm27):(125\mp27)\\\\=152:98\text{ or }98:152=\boxed{76:49\text{ or }49:76}\m[/tex]

_____

Additional comment

There is nothing in the given requirement that means x and y must have the same sign. If the signs are different, then the value of the expression is less than 1, rather than greater than 1.

Answer:

If you wanted to know how much songs Maxwell will have to play to pay the fee to play there, ($50 dollars)  he will have to play 5 songs.

Step-by-step explanation:

The question to the awnser is how much can 10 go into 50. That means you have to divide 50 by 10. You can put 10 5 times into 50, and you can make sure of that by timing 10 by 5. I have no idea though what you need. Sorry if im saying somthing different than wht you want.

Answer:

[tex]b=20\sqrt{2}[/tex] units

Step-by-step explanation:

Recall the Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Solve for side "b" given ∠A, ∠B, and side "a"

[tex]\frac{sinA}{a}=\frac{sinB}{b}\\ \\\frac{sin(30^\circ)}{20}=\frac{sin(45^\circ)}{b}\\ \\ bsin(30^\circ)=20sin(45^\circ)\\\\b(0.5)=20(\frac{\sqrt{2}}{2})\\ \\0.5b=10\sqrt{2}\\\\b=20\sqrt{2}[/tex]

Therefore, [tex]b=20\sqrt{2}[/tex] units

Answer:28

Step-by-step explanation:

Answer:Triangle B

Step-by-step explanation:

It is the only one not dilated or rotated, but it was simply moved, which is the definition of translation.

Answer:

A) $1440

B) $9440

Step-by-step explanation:

A) 4.5% x $8000 = $360 x 4 years = $1440

B) $1440 + $8000 = $9440

Answer:X=2/3

Step-by-step explanation:

olutioniaisisisis

Answer:

$9.10 dollars

Step-by-step explanation:

The original price of the shoes is $6.50, so we want to add 40% to that. There are two ways to do this.

Method 1:

Find 40% of 6.50, and add it to 6.50.

[tex]6.5*0.4= 2.6\\6.5+2.6=9.1[/tex]

Method 2:

Multiply 6.5 by 1.4 (including the original percent of 100 and adding 40 percent to it)

[tex]6.5*1.4=9.1[/tex]