Simplify the ratio
30g : 1.5 kg

Answer:

LM = 16

Step-by-step explanation:

LM will be half of the whole triangle base

32/2 = 16

Answer:

2p + 5p

=7p

Step-by-step explanation:

Answer:

a₂₀ = 69

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 15 - 12 = 3 , then

a₂₀ = 12 + (3 × 19) = 12 + 57 = 69

Answer:

Step-by-step explanation:

Arc PQ is 60°

Answer:

[tex]\boxed {\boxed {\sf Arc \ { PQ } = \ 60 \ degrees}}[/tex]

Step-by-step explanation:

The angle that forms arc PQ is a central angle, because the angle's vertex is at the center of the circle.

According to arc-angle relationships, the measure of a central angle is equal to the arc.

Since the central angle is equal to 60 degrees, arc PQ is also equal to 60 degrees.

9514 1404 393

Answer:

  9,775,069,161

Step-by-step explanation:

The field has the shape of a trapezoid. Its area can be found using the formula for the area of a trapezoid:

  A = (1/2)(b1 +b2)h

  A = (1/2)(399 +594)(506) = 251,229 . . . . . . acres

__

At 38909 plants per acre, the number of plants that should be planted for maximum yield is ...

  (251,229 ac)(38,909 plants/ac) = 9,775,069,161 plants

_____

Comment on units

The problem statement tells us "each unit of coordinate plane represents one acre." An acre is a unit of area, so we have to assume this means that each square unit represents one acre. That means each unit on each axis is about 208.71 feet, the dimension that would have to be squared to get an area of one acre--43,560 square feet.

Answer:

Length of the longest side of the similar polygon = 15 cm

Step-by-step explanation:

Sides of a polygon are 3 cm, 5 cm, 6 cm, 8 cm and 10 cm

Perimeter of the polygon = 3 + 5 + 6 + 8 + 10

                                          = 32 cm

Perimeter of the similar polygon = 48 cm

Since, scale factor = [tex]\frac{\text{Perimeter of the similar polygon}}{\text{Perimeter of the original polygon}}[/tex]

                               = [tex]\frac{48}{32}[/tex]

                               = 1.5

Since, scale factor = [tex]\frac{\text{Dimension of the similar polygon}}{\text{Dimension of the original polygon}}[/tex]

1.5 = [tex]\frac{\text{Dimension of the similar polygon}}{10}[/tex]

Dimension of the similar polygon = 1.5 × 10

                                                        = 15 cm

Therefore, longest side of the similar polygon = 15 cm

Answer: 5.47 on delta math

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

8+5=12

12/2=6

It takes40/ 13 or approximately 3.1 hours to do the job with both printers working on it.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

It takes an old printer 8 hours to print all the pictures for the yearbook.

A modern printer can do the same job in 5 hours.

If both work together,

it will take,

x(1/8 + 1/5) = 1

x(8 + 5)/40 = 1

8x + 5x = 40

x = 40/13

x = 3.07

x = approximately 3.1 hours.

Therefore, the work will be done in 40/13 hours.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ2

Answer:

270° counterclockwise

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1.25 each song

she bought 8 songs

1.25 x 8 = 10

10-20 = 10

Answer:

it's 189 the area

Step-by-step explanation:

area =189

Answer:

x=-2, y=3. (-2, 3).

Step-by-step explanation:

x-4y=-14

x+5y=13

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

-x+4y=14

x+5y=13

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

9y=27

y=27/9

y=3

x+5(3)=13

x+15=13

x=13-15

x=-2

Answer:

Y/6 <_ 2

Step-by-step explanation:

(Less than it equal to sign)

Answer:

680 Bacteria

Step-by-step explanation:

378 is evenly divisible by 126, which is equal to 3.

The first 126 minutes, the 85 bacteria will double to 170 bacteria.

The second 126 minutes (252 minutes total), the 170 bacteria will double to 340 bacteria.

The final 126 minutes (378 minutes total), the 340 bacteria will double to 680 bacteria total.

If this helped, a brainliest would be greatly appreciated!

Write both sides as powers of 2. First,

1/2 = 2⁻¹

16 = 2⁴

so the equation can be rewritten as

(1/2)ˣ = 16²

(2⁻¹)ˣ = (2⁴)²

Recall that [tex](a^b)^c=a^{bc}[/tex], so that

2⁻ˣ = 2⁸

The bases are the same, so the exponents must be equal:

-x = 8

x = -8

Answer:

Yes, u are correct

Step-by-step explanation:

16 + 8b ≥ 50

8b ≥ 34

b ≥ 4.25

Answer:

Yes they are proportionate.

Step-by-step explanation:

15:12 = 5x3:4x3

So they are proprotionate.

they have just been multiplied by 3

Answer:

-6

Step-by-step explanation:

it's asking when x is equal to -5 what is y equal to?

there's only one point when x=-5 and it's -6

so the point is (-5,-6) and y is equal to -6

hope this helps and makes sense <3

do well babe

Answer:

113

Step-by-step explanation:

96+17=113

180-113=67

67+x=180

x=180-67

x=113

Answer:

A=1/3BH, A=1/3(12)(10), A=40 uwu

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Carlita's age be x.

Then we have inequality:

Solve the inequality for x:

Answer:

Carlita is at least two  

Step-by-step explanation:

Answer: 6y = 30 - 5x

Step-by-step explanation:

Well we convert it to y = mx+b OR y = b - mx.

Answer:

[tex]y = \frac{5}{6}x - 5[/tex]

It is all the numbers multiplied together. 135

Answer:

[tex]\Huge\boxed{D.135 cm^3}[/tex]

Step-by-step explanation:

Hello There!

We can find the volume of the figure by using the formula for volume of a rectangular prism

[tex]V=lwh[/tex]

where l = length, w = width and h = height

we are given all of the dimensions so all we have to do is plug in the values

so

V = 3 x 9 x 5

3x9=27

27x5=135

so the volume of the rectangular prism is 135 cm³

Answer: 13:40

Step-by-step explanation:

Answer:

13:40

Step-by-step explanation:

pm is after the first 12 hours of the day

and so 1 pm you just add one

12+1=13

at the 40 minutes

13:40

Answer:

your answer would be

(y - 10) (y + 3)

hope this helps

Answer:

Step-by-step explanation:

-7y+y^2-30    is presented legally, but not logically I will re-write it better

just re-write in standard form

y^2 - 7y - 30      

y² - 7y - 30        is it better now?

  (y  - 10) (y + 3)