În desen este reprezentat trapezul
ABCD și O punctul de intersecție a di-
agonalelor AC și BD. Completați case-
ta, astfel încât să obțineți o propoziţie
adevărată:
Dacă aria triunghiului DOA este egală
cu 20 cm², atunci aria triunghiului COB
este egală cu​

Answer:

x=20

Step-by-step explanation:

76+44+3x=180

120+3x=180

-120      -120

3x=60

60/3=20

20(3)+120=180

Triangles add up to 180.

Hope this helps! :)

Answer:

x=27.5

Step-by-step explanation:

x/4=55/8

Cross multiply:

8x=220

Divide:

8x/8=220/8

x=27.5

Answer:

I don't know. I am sorry

Step-by-step explanation:

Given:

The first equation of the system of equations is

[tex]5x+2y=-4[/tex]

To find:

The equation that gives a system with no solution.

Solution:

We have,

[tex]5x+2y=-4[/tex]

It can be written as

[tex]2y=-5x-4[/tex]

[tex]y=\dfrac{-5x-4}{2}[/tex]

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

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-\dfrac{5}{2},b=-2[/tex]

It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.

Slope of parallel lines are same but the y-intercepts are different.

From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.

The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].

Therefore, the correct option is D.

Answer:

y = 2x + 0

Step-by-step explanation:

Answer:

12.25 per hour

Step-by-step explanation:

have a great day!

The answer is 12.25.

I'm sure about the answer.

Responder:

Hay 120 combinaciones posibles

Answer:

giyi

Step-by-step explanation:

Answer:

25:16 is the ans hope that helps!

9514 1404 393

Answer:

  23 inches

Step-by-step explanation:

The perimeters have the same ratio. Multiplying the ratio figures by 4.6 gives ...

  2 : 5 = (4.6)2 : (4.6)5 = 9.2 : 23

The perimeter of ΔFGH is 23 inches.

Answer:

1224 cm^3

Step-by-step explanation:

volume = bottom area x height

102x12=1224

The fish tank holds 1224 cc of water.

In mathematics, volume is the space taken by an object.

Here, given that,

The area of the bottom of the tank =A= 102 cm²

now, the height of the water in tank = h= 12cm

we know, volume of water= A× h  

                                           =102×12 cc

                                           =1224 cc

Hence, required volume is 1224 cc

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Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

Answer:

25

Step-by-step explanation:

3(5)+10 = 15 + 10 = 25

Answer:

hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh

Answer:

6 bags for $25

Step-by-step explanation:

25/6 = 4.16666666667 = $4.17 per bag

35/8 = 4.375 = $4.37 per bag

The better deal for the bags of apples is at the market

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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To determine which is the better deal, we can compare the prices per bag of apples at the market and the orchard.

At the market:

Price of 6 bags of apples = $25

Price per bag of apples = $25 / 6 ≈ $4.17 (rounded to two decimal places)

At the orchard:

Price of 8 bags of apples = $35

Price per bag of apples = $35 / 8 ≈ $4.38 (rounded to two decimal places)

Comparing the two prices per bag of apples, we can see that the price per bag at the market is $4.17, while the price per bag at the orchard is $4.38.

Hence , the better deal is at the market where you can buy 6 bags of apples for $25, resulting in a lower price per bag compared to the orchard.

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9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -2)/(-1 -4) = -10/-5 = 2

__

  y -y1 = m(x -x1) . .  point-slope form of equation for a line

  y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)

  y = 2x +5 . . . . . . . rearrange to slope-intercept form

Answer:

$2652.75

Step-by-step explanation:

Let b represent the original amount shared out

The equation representing how much adeel received is

4/9 x b = RS 1179

To find b, divided both sides by 9/4

b = $2652.75

Answer:

f=6 and s=18

Step-by-step explanation:

Let's solve your system by substitution.

s+f=24;s=3f

Rewrite equations:

s=3f;f+s=24

Step: Solves=3ffor s:

s=3f

Step: Substitute3fforsinf+s=24:

f+s=24

f+3f=24

4f=24(Simplify both sides of the equation)

4f

4

=

24

4

(Divide both sides by 4)

f=6

Step: Substitute6forfins=3f:

s=3f

s=(3)(6)

s=18(Simplify both sides of the equation)

Answer:

f=6 and s=18

Answer:

As a fraction: 7/80

0.0875

Step-by-step explanation:

If you meant 20% it is 5.

Answer:

2g + 4h = 43

2g + 2h = 30

Step-by-step explanation:

Answer:

pairs of gloves = x

hats = y

2x + 4y = 43

2x + 2y = 30

hats = $6.50

gloves = $8.50

Step-by-step explanation:

use the elimination method to solve this system.

subtract the first equation by the second.

2x + 4y = 43

- 2x + 2y = 30

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

         2y = 13

y = 6.5

plug in the y value to find x

2x + 4 (6.5) = 43

2x + 26 = 43

2x = 17

x = 8.5

Answer:

The answer is 576 seats

Step-by-step explanation:

3 rows x 12 seats = 36 seats in one section

36 seats in one section x 16 sections = 576 seats

Answer:

10 cats

Step-by-step explanation:

dogs:cats = 3:2=15:x

3x=15.2

3x=30

x=10 cats

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

The Answer is is y=2x-3

Step-by-step explanation:

Answer:

4/9 is the answer.

Answer:

there is more red marbles then the others

Step-by-step explanation:

Answer:

Answer:

0.3643

Step-by-step explanation:

Standard Form and Scientific Notation

What is standard form of numbers?

Standard form is the normal way of writing numbers no matter how big or small the number is.

Examples:

15,000,000

0.0000000678

What is scientific notation?

Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.

Examples:

1.3 × 10⁶

34.5 × 10^⁻9

Going back to the question above, we need to convert the given scientific notation to its standard form.

Converting of Scientific Notation to Standard Form

To convert a number from scientific notation to standard form, move the decimal point.

The exponent tells the direction and the number of times we need to move the decimal point.

The positive exponent indicates a large number so we need to move the decimal point to the right.

The negative exponent indicates a small number so we need to move the decimal point to the left.

Do not write the power of 10 anymore.

Solution:

Now, let us convert 3.643 x 10^-1 in standard form.

The exponent is negative 1 so we will move the decimal point to the left once.

3.643 = 0.3643

Answer:

A

Step-by-step explanation: