Given segment XZ and point Y that lies on XZ, find XY if XZ = 37 and YZ = 18

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a - b= 2

Step-by-step explanation:

expanding the brackets

we have 15x^2+13x+2

a= 15 b= 13

thus, a-b =15-13

=2

The value of a - b if,  (3x + 2) (5x + 1) = ax² + bx + 2 is 2 i.e a - b = 2.

At least two numbers or variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. The term "expression" or "mathematical expression" refers to a finite collection of symbols that are well-formed in line with context-dependent criteria.

Given:

(3x + 2) (5x + 1) = ax² + bx + 2

Write the left term of the equation in the format of the right term,

3x (5x + 1) + 2(5x + 1)

15x² + 3x + 10x + 2

15x² + 13x + 2

Compare the above equation to ax² + bx + 2,

a = 15 and b = 13

Calculate the value of a - b as shown below,

a - b = 15 - 13

a - b = 2

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Answer:

yes!!!

Step-by-step explanation:

Answer:

2/3 < 1/6

Step-by-step explanation:

hope this helps

Answer:

2/3 > 1/6

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

let 'x' be the unknown number

lets change the statment to an equation

8x + 3x = 12x + 9

11x = 12x + 9

11x-12x = 9

-x = 9

x = -9

hope it helps ❤❤❤

For any question comment me

Cost of the strawberry will be $0.31 per ounce.

   Given in the question,

We can write the cost as [tex]\frac{4.96\text{ Dollars}}{1\text{Pound}}[/tex].

Since, 1 pound = 16 ounces

To convert the cost of the strawberry in dollars per ounce, multiply the price by the conversion factor [tex]\frac{1\text{ Pound}}{16\text{ Ounces}}[/tex].

So the cost of strawberry = [tex]\frac{4.96\text{ Dollars}}{1\text{Pound}}\times \frac{1\text{ Pound}}{16\text{ Ounces}}=0.31\text{ Dollars per ounce}[/tex]

    Therefore, cost of the strawberry will be $0.31 per ounce.

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Answer:

C and D

Step-by-step explanation:

–4x = –3   and   3 = 4x     is the answer.

(I did the quiz)

Answer:

Saldo bancario= $1,192

Step-by-step explanation:

Dado la siguiente información:

Saldo del banco= -$2,376.5

Depósito= $3,568.5

Ella tenía una cuenta en negativo. El depósito le ayuda a cubrir el sado y pasar a tener un saldo positivo. Ahora calculamos cuánto le queda en la cuenta.

Saldo bancario= -2,376.5 + 3,568.5

Saldo bancario= $1,192

it depends on what your supposed to do i would finish it myself

The perimeter of the triangle is 36 units.

The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The coordinate of the triangle is A(0, 0), B(10, 0) and C(5, 12). Hence:

AB = 10 units

[tex]BC=AC=\sqrt{(5-0)^2+(12-0)^2}=13\ units[/tex]

Perimeter of triangle = AB + BC + AC = 10 + 13 + 13 = 36 units

The perimeter of the triangle is 36 units.

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Answer: 2w + 2 (w + 4) ≤ 48

I don't know why, or the process tho.

Answer:

-3

Step-by-step explanation:

-3w-2p=-21+18=-3

Answer: 252 cph

Step-by-step explanation: 756 divide by 3 is 252

Answer: 12

Step-by-step explanation: to find perimeter we have to add all the sides of the shape so, for a square you can just simply multiply your given side 3 by 4 because there is 4 sides of a square and this equals to 12.

Answer:

50

Step-by-step explanation:

Since M is the midpoint of XY, this means that XM and MY must be equivalent from the definition of midpoint.

So:

[tex]XM=MY[/tex]

The entire length of the segment (XY) is:

[tex]XY=XM+MY[/tex]

We know that XM is equivalent to MY. Substitute MY for XM:

[tex]XY=MY+MY[/tex]

Combine like terms;

[tex]XY=2MY[/tex]

We are told that YM (or MY) is 25. So:

[tex]XY=2(25)[/tex]

Multiply:

[tex]XY=50[/tex]

So, the length of XY is 50.

And we're done!

50?

X_________M__________Y

2x + 5 = 25

x = 10 so 2(10) + 5 = 25

25 + 25 = 50

Answer:

20=2x

20/2=x

X=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

20 divided by 2 equals 10.

If a beverage is made by mixing 3 parts of water with 5 parts of fruit juice then 3/5 fraction of water is mixed with 1 part of fruit juice.

Given that, a beverage is made by mixing 3 parts of water with 5 parts of fruit juice.

Fraction is a combination of numerator and denominator. The number above the division sign is known as numerator and the numerator below the division side is known as denominator.

We have been given that to make a beverage 3 parts of water with 5 parts of fruit juice and we are required to find the fraction of water mixed with 1 part of fruit juice.

Water mixed with 1 part of fruit juice

= Water mixed with 5 parts of fruit juice/5

= 3/5

Hence, if a beverage is made by mixing 3 parts of water with 5 parts of fruit juice then 3/5 fraction of water is mixed with 1 part of fruit juice.

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Answer:

B and D

(The ratio of cats to birds is greater than the ratio of ferrets to birds; The ratio of ferrets to cats is less than the ratio of dogs to cats)

hope this helps :)

Answer:

it is

Step-by-step explanation:

b

d

Answer:

-9

Step-by-step explanation:

(-8/4)+5+4(3-6)

-2+5+12-24

17-26

-9

Answer:

-9

Step-by-step explanation:

(-8 ÷ 4) + 5 + 4(3 - 6]

-2+5+12-24

-9

Answer:

Let's define x as the number of text messages send.

y as the number of 1,000 minutes talk per month.

(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.

> The equation for Dash is:

C1(x, y) = $80

>The equation for AB&C

C2(x,y) = $0,20*x + $55*y

> Horizon

C3(x,y) = $0.10*x + $75*y.

Now, which company you should go for?

Well, it depends on the values of x and y that you have.

if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.

if you usually talk, you may want to go with AB&C because the slope for y is smaller.

If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y

Answer:

10bb + 22tt ≥ 190

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

Answer:

14

Step-by-step explanation:

Answer:

c. nrkrkrjjrjrjrkerkekkrr

Answer:

c

Step-by-step explanation:

its c :)))))

Answer:

[tex]\huge\boxed{\sf x = -7}[/tex]

Step-by-step explanation:

Let the number be x

So,

=> The sum of number and 15 is x + 15

=> Three times will be 3(x+15)

Given that it equals 24

So, the given condition is:

3(x+15) = 24

Resolving Parenthesis

3x + 45 = 24

Subtracting 45 to both sides

3x = 24 - 45

3x = -21

Dividing both sides by 3

x = -7

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−3)=5x−3(x+2)

(2)(x)+(2)(−3)=5x+(−3)(x)+(−3)(2)(Distribute)

2x+−6=5x+−3x+−6

2x−6=(5x+−3x)+(−6)(Combine Like Terms)

2x−6=2x+−6

2x−6=2x−6

Step 2: Subtract 2x from both sides.

2x−6−2x=2x−6−2x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Answer:

Not Possiable

Step-by-step explanation:

Step 1:

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

Step 2:

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

Step 3:

2x = 2x

Answer:

2x cannot equal 2x

Not Possiable

Hope This Helps :)

Answer:

CP=Rs 1920

profit%=6.25%

Answer:

Step-by-step explanation:

[tex]n= 0.142857[/tex]

[tex]1000000n= 0.142857[/tex]

Move the decimal point using the 1000000n

You should get 142857.142857 repeating

Subtract n from both sides [tex]142857.142857- 0.142857[/tex]

You should get 142857 without the repeating decimal.

The equation is now: [tex]142857/999999[/tex] (fraction)

A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.

You can use a calculator for 142857/3 (division) (unless your teacher says you can't)

You should get 47619

You should get[tex]47,619/333333[/tex]  (fraction).

I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.

Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)

You should get 15,873

You should get 15,873/111111 (fraction)

The repeating decimal 0.142857 is equivalent to the fraction 1/7.

Given that we need to convert a repeating decimal 0.142857 as a fraction.

The repeating decimal 0.142857 can be expressed as a fraction. To understand how to convert it, let's denote it as x:

x = 0.142857...

To convert this repeating decimal to a fraction, we can multiply x by a power of 10 to shift the decimal point and eliminate the repeating part.

Since there are six digits in the repeating block (142857), we can multiply x by 10⁶ to remove the repeating part:

10⁶ · x = 142857.142857...

Next, we subtract the original equation from the one above to eliminate the repeating part:

(10⁶ · x) - x = 142857.142857... - 0.142857...

Simplifying the equation:

999999x = 142857

Now, we can solve for x by dividing both sides of the equation by 999999:

x = 142857 / 999999

Simplifying the fraction:

x = 1 / 7

Therefore, the repeating decimal 0.142857 is equivalent to the fraction 1/7.

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