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rjkz [21]
3 years ago
5

What's the answer to this 94<-2(1+6b)

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

-8 > b

Step-by-step explanation:

94<-2(1+6b)

Distribute

94<-2-12b

Add 2 to each side

94+2<-2-12b +2

96 < -12b

Divide each side by -12, remembering to flip the inequality since we divide by a negative

96/-12 > -12b/-12

-8 > b

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If it takes Leaping Louie 5 minutes to jump 3 blocks, how long will it take for him to jump 15 blocks?
Svetach [21]
25 minutes
3 blocks x 5 = 15 blocks

Therefore,
5 minutes x 5 = 25 minutes
6 0
3 years ago
For the functions f(x) = 5x − 3 and g(x) = x + 4, which composition produces the greatest output?
Zina [86]
You could actually find the compositions and thus have something to compare.  You haven't shared the list of possible answer choices.

(f+g)(x) = 5x - 3 + x + 4 = 6x + 1

(f-g)(x) = 5x - 3 - x - 4 = 4x - 7

(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12

There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).

WRite them out.

Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.

7 0
3 years ago
20 units Humulin R insulin in 100 mL of normal saline (NS) to infuse for 20 hours. (Round to the nearest tenth if applicable) a.
wariber [46]

Answer:

a) 1 unit per hour will be infused.

b) 5mL per hour will be infused.

Step-by-step explanation:

Each question can be solved as a rule of three with direct measures, that means we have a cross multiplication.

a. How many units per hour will be infused?

20 units are going to be infused in 20 hours. How many units are going to be infused each hour?

1 hour - x units

20 hours - 20 units

20x = 20

x = \frac{20}{20}

x = 1

1 unit per hour will be infused.

b. How many milliliters per hour will be infused?

100mL are going to be infused in 20 hours. How many mL are going to be infused each hour?

1 hour - x mL

20 hours - 100 mL

20x = 100

x = \frac{100}{20}

x = 5

5mL per hour will be infused.

4 0
3 years ago
How many different arrangements of the letters in the word SCHOOL are there?
pogonyaev
36; there are 6 letters in the word school so if you multiple it by 6 which is the amount of different places one letter could be, the result would be 36
4 0
3 years ago
Read 2 more answers
Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?
svet-max [94.6K]

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

Length = 4\frac{1}{4}yd

Width = 1\frac{2}{3}yd

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

Area = Length * Width

Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd

Express as improper fraction

Area = \frac{17}{4}yd * \frac{5}{3}yd

So, we have:

Area = \frac{17*5}{4*3}yd^2

Area = \frac{85}{12}yd^2

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

Total = n * Area

Total= n * \frac{85}{12}yd^2

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

Assume n is 3 (i.e. 3 containers)

The total area is:

Total= 3 * \frac{85}{12}yd^2

Total= \frac{85}{4}yd^2

Total= 21\frac{1}{4}yd^2

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

6 0
3 years ago
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