All categories

3 years ago

Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water

Mathematics

2 answers:

Contact [7]3 years ago

7 0

Answer:

16.5 hours will it take her to drink 4 gallons of water

Step-by-step explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

Hye Lim drank 4/3 gallons of water in 11/2 hours.

We have to find how long will it take her to drink 4 gallons of water

let x be time in hours will it take her to drink 4 gallons of water

then by definition of proportion,

$\frac{\frac{4}{3}}{\frac{11}{2}} = \frac{4}{x}$

By cross multiply we have;

$\frac{4}{3}x = \frac{11}{2} \cdot 4$

Simplify:

$\frac{4}{3}x =22$

Divide both side by $\frac{3}{4}$ we have;

$x = \frac{66}{4} = \frac{33}{2} =16.5$ hours

Therefore, 16.5 hours will it take her to drink 4 gallons of water

attashe74 [19]3 years ago

4 0

4/3=1.33 of a gallon

11/2=5.5 hours

4÷1.33=3.008

3.008×5.5=16.544

16.5 hours

You might be interested in

Which statement is correct?

Arisa [49]

Answer:

$2.06 \times 10^-^2 = 206$

$1.88 \times 10^-^1 = 18.8$

$206 \times 18.8 = 3,872.8$

$7.69 \times 10^-^2 = 769$

$2.3 \times 10^-^5 = 230,000$

$=\frac{769}{230000}$

= 0.00334

therefore,

3,872.80 > 0.00334

Step-by-step explanation:

Which statement is correct?

(2.06x102x1.88 x 10-1) <7.69x 10

2.3x10-5

(2.06 x 10-2)(1.88 x 10-1) 7.69x 10-

2.3x10-5

7.69 x 10"

(2.06 x 10-2x1.88x10-)>

2.3x10-5

(2.06x 10-2X(1.88x 10-1)-7.69x104

2.3x10-5

Given that;

$2.06 \times 10^-^2 = 206$

$1.88 \times 10^-^1 = 18.8$

$206 \times 18.8 = 3,872.8$

$7.69 \times 10^-^2 = 769$

$2.3 \times 10^-^5 = 230,000$

$=\frac{769}{230000}$

= 0.00334

therefore,

3,872.80 > 0.00334

7 0

3 years ago

Solve the inequality and enter your solution as an inequality comparing the

Amiraneli [1.4K]

Answer:

x - 33 < 8

x < 8 + 33

x < 41

x= {40, 39, 38, . . . }

4 0

3 years ago

To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.

galina1969 [7]

Answer:

Step-by-step explanation:

We want to solve the equation:

$5\sin(2x)=3\cos(x)$

To do so, we can rewrite the equation.

Recall the double-angle for sine:

$\sin(2x)=2\sin(x)\cos(x)$

By substitution:

$5\left(2\sin(x)\cos(x)\right)=3\cos(x)$

Distribute:

$10\sin(x)\cos(x)=3\cos(x)$

We can subtract 3cos(x) from both sides:

$10\sin(x)\cos(x)-3\cos(x)=0$

And factor:

$\cos(x)\left(10\sin(x)-3\right)=0$

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0

2 years ago

Read 2 more answers

Which points have an x-value less than zero?

Zanzabum

Answer:

C, D, J

Step-by-step explanation:

Points to the left of the y-axis have a negative x- value

Points to the right of the y-axis have a positive x- value

Points on the y-axis have an x- value of zero

C(- 4, 5), D(- 9, 9 ), J(- 9, 0) ← are the coordinates of the points

All have a negative x- value

8 0

3 years ago

What are the x and the y in this function

Marianna [84]

Answer:

X = 3

Y = all real numbers

Step-by-step explanation:

x is the input

y is the output

The equation would be x = 3

7 0

2 years ago