All categories

3 years ago

Write as a unit rate: 36 gallons to 9 minutes *

Mathematics

1 answer:

Nataly_w [17]3 years ago

7 0

Answer

36/9= 4

Step-by-step explanation:

This is a fraction equal to

36 gallons ÷ 9 minutes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 9

36 gallons ÷ 9

9 minutes ÷ 9

4 gallons

1 minute

4 gallons

minute

= 4 gallons per minute

You might be interested in

875 × 36 I'll crown and give five stars if you say the solving steps

IceJOKER [234]

Answer:

31500

Step-by-step explanation:

h t t p s://www.y o utube.com/watch?v=sSqJQVjkgBM

8 0

3 years ago

Can you explain this question please

Rasek [7]

Answer:

Step-by-step explanation:

θ and B are corresponding angles

Each is in the same position ( upper right hand corner ) in its group of four angles.

3 0

3 years ago

Read 2 more answers

-6x+4y=10 X-5y=-21 Please solve !

galina1969 [7]

X-5y=-21
x=-21+5y

-6(-21+5y)+4y=10
126+-30y+4y=10
126+-26y=10
-26y=-116
y=4.4615
x=1.3076

5 0

4 years ago

A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area. HELP AS

prohojiy [21]

Answer:

Lateral Surface Area = 168 $cm^2$

Total Surface Area = 209.57 $cm^2$

Step-by-step explanation:

Given:

There is a regular hexagonal prism with

Height, h = 7 cm

Base edge length, a = 4 cm

To find:

Lateral surface area and total surface area = ?

Solution:

Formula for lateral surface area is given as:

$LSA = \text{Perimeter of Base}\times Height$

Perimeter of a hexagon is given as:

$P = 6 \times Edge\ Length\\\Rightarrow P = 6\times 4=24\ cm$

Now, LSA = 24 $\times$ 7 = 168 $cm^2$

Total Surface area of prism is given by the formula:

$TSA = LSA + B$

where B is the area of base.

Base is a regular hexagon, formula for area of a regular hexagon is given by:

$B =6\times \dfrac{\sqrt3}4\times Edge^2\\\Rightarrow B =6\times \dfrac{\sqrt3}4\times 4^2 = 24\sqrt3\ cm^2\\\Rightarrow B = 41.57 cm^2$

So, Total Surface Area = 168 + 41.57 = 209.57 $cm^2$

So, answer is :

Lateral Surface Area = 168 $cm^2$

Total Surface Area = 209.57 $cm^2$

3 0

3 years ago

f (x), has (x-7) and (x+4i) as factors. F(X)=2x^5-13x^4+22x^3-187x^2-160x+336 what is the total number of real numbers of real z

Murljashka [212]

Answer: 3

Step-by-step explanation:

(x + 4i) is a root which means its conjugate (x - 4i) is also a root

(x + 4i)(x - 4i) = x² + 16

Use Long Division for 2x⁵ - 13x⁴ + 22x³ - 187x² - 160x + 336 ÷ x² + 16

2x³ - 13x² - 10x + 21

x² + 16 ) 2x⁵ - 13x⁴ + 22x³ - 187x² - 160x + 336

- (2x⁵ + 0x⁴ + 32x³) ↓ ↓ ↓

-13x⁴ - 10x³ - 187x² ↓ ↓

- (-13x⁴ +0x³ - 208x²) ↓ ↓

-10x³ + 21x² - 160x ↓

- (-10x³ + 0x² - 160x) ↓

21x² + 0x + 336

- (21x² + 0x + 336)

Use Synthetic Division to divide (x - 7) by the reduced polynomial (2x³ - 13x² - 10x + 21)

7 | 2 -13 -10 21

| ↓ 14 7 -21

2 1 -3 0 ← remainder is 0

Use grouping to factor the reduced polynomial (2x² + x - 3)

2x² - 2x + 3x - 3

= 2x(x - 1) +1(x - 1)

= (2x + 1)(x - 1)

The factors are: (x - 7) (2x + 1) (x - 1) (x + 4i) (x - 4i)

The first 3 are real roots and the last 2 are complex roots

3 0

3 years ago