All categories

3 years ago

Inequalities Exam

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

t > 8

Step-by-step explanation:

Given that :

Initial volume = 16 litres

Addition rate = 4 litres per minute

Target volume > 48 litres

Let number of minute for which water is added to achieve these = t

Mathematically,

Initial volume + (addition rate * t) > target volume

16 + 4t > 48

Collect like terms

4t > 48 - 16

4t > 32

Divide both sides by 4

4t/4 > 32/4

t > 8

Laura will need add water at 4 Litre per minute rate for more than 8 minutes

You might be interested in

Find m I'll give brainiest to the correct answer!

SVETLANKA909090 [29]

Answer:

S V W and if you rotate it the W would be an M

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

ACCORDING TO THE FOOD LABEL ON A BOX COOKIES, EACH BOX HAS 16 SERVING AND EACH SERVING CONTAINS 4 COOKES. THE WIGHT OF THE BOX O

skelet666 [1.2K]

Answer:

7.8125 grams

Step-by-step explanation:

As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.

Therefore, each box of cookies contains (16 × 4) = 64 cookies.

If a box of cookies weighs $\frac{1}{2}$ kg i.e. 500 gram, then the weight of each cookies will be $\frac{500}{64} = 7.8125$ grams. (Answer)

6 0

3 years ago

Which can be the first step in finding the equation of the line that passes through the points 5,-4 and -1,8 in slope-intercept

zheka24 [161]

Step-by-step explanation:

First step:

Calculate a slope.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the points (5, -4) and (-1, 8). Substitute:

$m=\dfrac{8-(-4)}{-1-5}=\dfrac{12}{-6}=-2$

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line:

$-4=-2(5)+b$

$-4=-10+b$ <em>add 10 to both sides</em>

$6=b\to b=6$

Finally:

$y=-2x+6$

8 0

4 years ago

Read 2 more answers

All numbers whose absolute value is -5

hram777 [196]

Answer:

Step-by-step explanation:

Absolute value = 5

Absolute valve of a number is always positive regardless of direction.

8 0

3 years ago

Solve for x: x2-14x+49

Bezzdna [24]

Answer:

x2 − 14x + 49 = 0

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers