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Anika [276]
4 years ago
8

A gardener uses 3 of a liter of water to water 7 of a garden.

Mathematics
1 answer:
arsen [322]4 years ago
8 0
Im not fully correct but i think you just multiply 3 x7= 21
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Am I correct on number 3? If not whats the correct answer? And what is the answer for number 4? Will be marking brainliest!!​
timama [110]

Answer for number 4 is \frac{\bold2}{\bold3} hour.

Step-by-step explanation:

Maximum hour spent for all homework (English homework + math homework) is 2 hours.

Let us assume the hours spent for English homework be 'e'.

It is given that:

(Hours spent for math homework) = 2 × (Hours spent for English homework)

Hours spent for math homework = 2 × e = 2e

Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)

Total hours spent = 2e + e = 3e

2 = 3e

3e = 2

∴ e = \frac{\bold2}{\bold3}

Therefore number of hours spent on English homework is equal to \frac{\bold2}{\bold3} hours.

8 0
3 years ago
The quantities x and y are proportional. Find the constant of proportionality r in the equation y = rx
ELEN [110]

Answer:

r = 7

Step-by-step explanation:

To solve this, we can plug in a pair of x and y values and solve for r.

y = rx | Plug in a pair

42 = r*6 | Now divide both sides by 6

7 = r.

We can test this by plugging in r with a pair.

y = (7)x

77 = 7*11, 77 = 77, This equation is correct.

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (4,3) and has a slope<br> of 1?
Mamont248 [21]

Answer (<u>assuming it can be in point-slope form)</u>:

y-3 = 1(x-4)  

Step-by-step explanation:

Use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line. Substitute real values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for x_1 and 3 for y_1. This gives the following equation and answer in point-slope form:

y-3 = 1(x-4)

5 0
3 years ago
Translate the phrase into an algebraic expression.<br><br> 3 more than y
Furkat [3]
<span>3 more than y
=

y + 3

hope it helps</span>
5 0
3 years ago
Prove this <br><br> 1-tan^2x/1+tan^2x=cos^2x-sin^2x
tatiyna

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan x = \frac{sinx}{cosx}

Consider the left side

\frac{1-tan^2x}{1+tan^2x}

= \frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} } ( multiply numerator and denominator by cos²x to clear fractions

= \frac{cos^2x-sin^2x}{cos^2x+sin^2x} ← ( cos²x + sin²x = 1 ]

= cos²x - sin²x

= right side , thus proven

7 0
2 years ago
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