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-Dominant- [34]
3 years ago
14

Solve the inequality 1/2 y +6<0

Mathematics
1 answer:
yan [13]3 years ago
8 0
Answer:All these are equivalent, valid answers:

 y  <  -12

all real numbers less than  - 12:

( - ∞ , - 12)

{ y ∈ R | y < - 12}

Explanation:

1) Starting pointL inequality (1/2)y + 6 < 0

2) subtract 6 from both sides:

(1/2)y + 6 - 6 < 0 - 6

(1/2) y < - 6

3) multiply both sides by 2:

(2)(1/2)y < - (2) (6)

y  <  -12

4) That is all real numbers less than  - 12:

Equivalent to ( - ∞ , - 12) or { y ∈ R | y < - 12}

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What is bigger 0.7liters or 500 millileters​
Mkey [24]

Answer:

0.7 Ls

Step-by-step explanation:

A liter (L) and a milliliter (mL) are two units for measuring capacity in the metric system. The bottle pictured at the right holds 1 L of water. About twenty drops of water equals 1 mL. To convert liters to milliliters, To convert milliliters to liters, multiply by 1,000.

5 0
3 years ago
Read 2 more answers
A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the
muminat

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}

4 0
3 years ago
Find the average rate of change of k(x)=5x–19 over the interval [<br> -<br> 14,<br> -<br> 4].
rusak2 [61]
The rate of change of a function can be modeled with the following expression:

\frac{\Delta{k{x)}}{\Delta{x}}

Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be

\Delta{x}=-4-(-14)=10

To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:

k(-14)=5(-14)-19=-70-19=-89\\ k(-4)=5(-4)-19=-20-19=-39\\ \Delta{y}=k(-14)-k(-4)=-89-(-39)=-50

So, the rate of change for the function from x = -14 to x = -4 is

\frac{\Delta{y}}{\Delta{x}}= \frac{-50}{10}=-5
7 0
4 years ago
consider the gre scores for a random sample of 6 students out of a class of 25: name julia andrew jason cathy jessica robert sco
Thepotemich [5.8K]
Name  Score
Julia      650
Andrew 550
Jason    380
Cathy    720
Jessica 710
Robert   550

Point estimate for the mean score:
Sample mean = sum of all observations / number of observations

sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6 
sample mean = 593.33

The point estimate for the mean score is 593.33
6 0
3 years ago
#7: Five containers, each weighing the same amount, were placed on a 30-pound
Ede4ka [16]

Answer:

Option (B)

Step-by-step explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.

6 0
3 years ago
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