Mathematics Middle School

Solve the inequality for b
10 ≥ - 2/3 (9+12B)

Answers

Answer 1
 [tex]10 \geq - \frac{2}{3} (9+12B)[/tex]

[tex]10 \geq \frac{-2}{3}*9 +\frac{-2}{3}*12B [/tex]

[tex]10 \geq (-2*3) +(-2*4B)[/tex]

[tex]10 \geq -6 -8B[/tex]

[tex]-8B \leq 10 + 6[/tex]

[tex]-8B \leq 16[/tex]

[tex]B \leq \frac{16}{-8} = -2[/tex]

B ≤ -2

Hence, B is any number less than or equal to -2.
Answer 2

Final answer:

To solve the inequality 10 ≥ - 2/3 (9+12B) for b, first eliminate the fraction by multiplying both sides by -3/2, then isolate b, resulting in b ≥ -2.

Explanation:

The student has asked to solve the inequality for b: 10 ≥ - 2/3 (9+12B). To do this, follow these steps:

Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2, to get rid of the fraction. This step is crucial for simplifying the inequality.

The inequality becomes: -15 ≤ 9 + 12B.

Subtract 9 from both sides to isolate the term with b on one side: -24 ≤ 12B.

Divide both sides by 12 to solve for b: b ≥ -2.

Therefore, the solution to the inequality 10 ≥ - 2/3 (9+12B) is b ≥ -2.

Related Questions

whats the soultion for 10000 ft/hr = mi/hr

Answers

Hi! There are 5,280 feet in a mile. Therefore, you need to divide 10,000 feet by 5,280 (to see how many miles there are per every 5280 feet) and you get 1.89 miles per hour.

the percent of increase is 16% if the new number is 522 find the original number

Answers

The original number is 438.48. Hope this helps!

Why is it important to have complex carbohydrates before a big race?

(Again, not math. I know, its to get the answer faster..)

Answers

Complex Carbs are very useful because they are healthy and do not interfere with a race. They turn those into glucose and helps the energy be saved longer. 
Complex Carbohydrates are made up of sugar molecules strung together in long chains. Both simple and complex carbs can be turned into Glucose which is used as short term energy. This short term energy is great for short races, for marathons I suggest more lipids as well. The act of eating a lot of carbs the night before a race is called "Carb Loading" 

what is 2/3, 66%, and 0.67 from greatest to least

Answers

66%, then 2/3, and lastly 0.67. 2/3 is repeating so it is more then 66% but less than 0.67

answer:
0.67, 2/3, 66%
work:
change all to decimals.
0.666666666667, 0.66 and 0.67.
-order from greatest to least 
0.67, 0.66666666667, 0.66
-convert back
0.67, 2/3, 66%
Hope this helps, have a great day! :D

Calculate the future value of an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, by compounding manually.

Answers

The future value of an investment, P after n years at an APR of r% compounded t times a year is given by
[tex]FV=P\left(1+ \frac{r}{t} \right)^{nt}[/tex]

Given an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, the future value is given by
[tex]FV=2,300\left(1+ \frac{0.066}{12} \right)^{12\left( \frac{7}{12}\right) } \\ \\ =2,300(1+0.0055)^7=2,300(1.0055)^7 \\ \\ =2,300\times1.03914=\$2,390.02[/tex]

Which is another way to write 9 tens 3ones? Write the numbers.

Answers

9 tens 3 ones = 93 <===
9 tens 3 ones can also be 93. 9 is in the tens place and 3 in the ones place.

Two youth groups participated in a three-week recycling project. Group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3. Group B collected three times as much as Group A. Enter the total amount that Group B collected.

Answers

3(15.49 + 20.82 + 22.91)
3(59.22) =
177.66 <=== what group collected

The total amount that Group B collected 177.66 pounds.

Given that, group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3.

How to add the decimals?

To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don't, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.

Now, add the quantity of recycling material collected during three week.

That is, 15.49 + 20.82 + 22.91 = 59.22

Given that, group B collected three times as much as Group A.

So, 3 × 59.22 = 177.66

Therefore, the total amount that Group B collected 177.66 pounds.

To learn more about the addition of decimals visit:

https://brainly.com/question/17612968.

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To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

Answers

find min
min is 1.5-0.2=1.3cm

max is 0.2+1.5=1.7cm

so it would be a graph from 1.3cm to 1.7cm

like below

Answer: option A

Step-by-step explanation:

A pet shop manager wants the same number of birds in each cage. He wants to use as few as cages as possible , but can only have one type of bird in each cage. If he has 42 parakeets and 18 canaries , how many birds will he put in each cage?

Answers

He would use 3 cages for the canaries (6 in each) and 6 cages for the parakeets (7 in each)

Answer: There are 7 parakeets and 3 canaries in each cage.

Step-by-step explanation:

Since we have given that

Number of parakeets = 42

Number of canaries = 18

According to question, he wants to use as few as cages as possible , but can only have one type of bird in each cage.

So, H.C.F. of 42 and 18 = 6

So, Number of cages would be 6.

Number of parakeets would be

[tex]\dfrac{42}{6}=7[/tex]

Number of canaries would be

[tex]\dfrac{18}{6}=3[/tex]

Hence, there are 7 parakeets and 3 canaries in each cage.

A farmer collects 1,250 eggs on a morning. She puts 30 eggs on each tray. How many egg trays does she need to hold all the eggs? Show your work.

Answers

You would do 1250 dived by 30.
1250/30 =  41.666
And if you round that, she would need 42 trays.

Hope I helped :)
It will need 42 trays 1250 divided by 30 is 41.666667 but if you round it, its 42

 

Which option below correctly describes the domain of and explains why the range of b is not all real numbers?

Answers

what are the options?^

A credit card states that your payment will be a minimum of $15 plus 1% of your unpaid balance. Your unpaid balance is $2,365.What is your payment this month?

Answers

Alright, to get 1% of his unpaid balance, we can make 1% = 0.01 by moving the decimal place 2 places over. Multiplying 0.01 by 2365 gets 1% of your unpaid balance=23.65. Since we have to add 15 as a base value, we have 
15+23.65=38.65

what is the answer to 2(0.5c−1.5)−6=−2 please show work!!!!

Answers

ANSWER: c = 7

WORK:
2(0.5c - 1.5) - 6 = -2
c - 3 - 6 = -2
c - 9 = -2
c - 9+9 = -2+9
c = 7
2(0.5c - 1.5) = -2 + 6

2(0.5c - 1.5) = 4

0.5c - 1.5 = 4/2

0.5c - 1.5 = 2

0.5c = 2 + 1.5

0.5c = 3.5

c = 3.5/0.5

Lastly simplify

Answer: c = 7.

Help me please I just need math and that's all for math

Answers

1. 3 1/4
2.9 1/2 hope it helped

3 1/4             9 1/2

hope it helpedd

Six rectangles have a area of 64 square units what is the perimeter

Answers

Solution:1. A= 64m^2, l = 12 mA = wl Solving for PP=2 l+2(A/ l) = 2·12+2·64/12 ≈ 34.66667 m
Solution:2. A= 64m^2, l = 4 mA = wl Solving for PP=2 l+2 (A/ l) = 2·4+2·64/4 ≈ 40 m
Solution:3. A= 64m^2, l = 24 mA = w l Solving for PP=2 l+2 (A/ l) = 2·24+2·64/24 ≈ 53.33333 m
Solution:4. A= 64m^2, l = 16 mA = w l Solving for PP=2 l+2 (A/ l) = 2·16+2·64/16 ≈ 40 m Solution:5. A= 64m^2, l = 8 mA = w l Solving for PP=2 l+2 (A/ l) = 2·8+2·64/8 ≈ 32 m 
Solution:6. A= 64m^2, l = 32 mA = w l Solving for PP=2 l+2 (A/ l) = 2·32+2·64/32 ≈ 68 m

Are there any rational numbers between 0.4 repeat and 4/9

Answers

0.4(repeating) and 4/9 are the same number....so, no, there is no rational numbers between them....there is no numbers between them.

50 tens x 4 hundreds = 40 tens x 5 hundreds

Answers

200,000 = 200,000 so the equation is true.
50 x .1 x 4 x .01 = .2
10 x .1 x 5 x .01 = .2

Find the value of m in each equation below. Justify your answer.
(x^m × x^2)^3 (k^3)^5 = x^21k^15

Answers

The main properties we use in this problem are:

i) [tex]x^a \cdot x^b=x^{a+b}[/tex] (so, when we multiply 2 exponents of the same base, we add the exponents)

ii) [tex]({x^a})^b=x^{a \cdot b}=x^{ab}[/tex]


thus, 

[tex](x^m \cdot x^2)^3=({x^{2m}})^3=x^{2m \cdot3}=x^{6m}[/tex]

by first applying property i) then property ii)

also, [tex]({k}^3)^5=k^{15}[/tex], by property ii)



So we have:

[tex]({x^m \cdot x^2})^3 \cdot({k}^3)^5=x^{21} \cdot k^{15}\\\\x^{6m}\cdot k^{15}=x^{21} \cdot k^{15}[/tex], 


now we only have to compare the exponents. 

6m must be equal to 21, 

thus m=21/6=7/2


Answer: m=7/2

Using long division write each rational number as a terminating decimal

Answers

The answer is 2.3 lol long division sucks

How many cups will I need for 30 biscuits if there’s 2 cups for every 8 biscuits

Answers

divide 30/8 = 3.75

3.75 *2 = 7.5 cups

If there's 2 cups for every 8 biscuits (not try to be mean, but I really really hate biscuit) there will be 7.5 cups. First, you take 8 and divide it by 2 to find out how many biscuits that 1 cup needs, so 4 biscuits per cup. Last, all you have to do left is take 30 and divide it by 4, which will gives you 7.5. So, for 30 biscuits, you will need 7.5 cups, even though I don't know what cup is it (flour, sugar, salt, water,...).

PLS HEEEEEEELP 20 POINtS
Evaluate |x + y|, for x = 8 and y = -15.

7

-7

23

-23

Answers

So first, we want to substitute all variables in.

|8 + -15|

Or,

|-7|

And the bars around it mean absolute value, or how far away it is from 0. In this case, it would be 7.

So your solution is 7.

solve 3x/2 - 7=x/4 - 2 i know the answer is 4 but how do i solve this

Answers

First, multiply by 4 on both sides to eliminate the denominator, and you get...
6x-28 =x-8
Subtract x on both sides and add 28...
5x=20
Divide to isolate the variable...
x=4
Hope this helps

Write each fraction in simplest form

Answers

9/18 simplified would be 1/2
29. = 1/2 in simplest form. Hope I helped

A warehouse floor has a perimeter of 6,615 feet. What is the perimeter of the floor in yards ? oh and please tell me how you got the answer

Answers

Since there are 3 feet in 1 yard you need to divide 6,615 divided by 3 which equals 2205 yards.
1 Yard = 3 feet
or 3 feet = 1 yard

to convert 6615 feet into yard, you have to divide it by 3.

6615 feet = 6615/3 yard = 2205 yard.

Your answer is 2205 yards.

Hope it helps!

What is the prime factorization of 375

Answers

Answer:

See the image for the answer.

The heights of four boys measured 152.0cm, 150.75cm, 149.5cm and 149.25cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height?

Answers

I believe the answer would be 150.75 cm as Marks height. I got this by if Bradley is the tallest, he would be 152.0 and if Calvin is taller than Josh, who is the shortest, the only height left would be Marks at 150.75

in geotown, there are 210 own a tablet. This is at least 4/5 of all teenagers that live in geotown. What is the maximum number of teenagers who live geo town

Answers

210 = 4/5 (This means that 4 out of five people (210 people) are a teenager)

Then you divide 210 by the numerator to get 1/5 people:
210 / 4 = 52.5

Then you can multiply the 1/5 people (52.5) by 5 to get 5/5:
52.5 * 5 =  262.5 (rounded to 262)

Thus the maximum amount of teenagers in Geotown is 262.

Hope this helps! :)
Final answer:

The maximum number of teenagers who live in Geotown can be found by solving an equation using the given information that 210 teenagers own a tablet, which is at least 4/5 of all teenagers in Geotown.

Explanation:

We are given that 210 teenagers own a tablet, and this number is at least 4/5 of all teenagers in Geotown. Let's represent the total number of teenagers in Geotown as 'x'. According to the given information, 4/5 of x is equal to 210. We can set up the equation (4/5)x = 210 and solve for x.

To solve for x, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4. This gives us x = (5/4) × 210 = 262.5. However, since the number of teenagers must be a whole number, we round down to the nearest whole number and conclude that the maximum number of teenagers who live in Geotown is 262.

Learn more about the Maximum number of teenagers in Geotown here:

https://brainly.com/question/5566875

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how would you find the area and Perimeter of this shape?

Answers

Perimeter: 10 + 4 + 7.5
P = 21.5
Area: 4 x 10 
A = 40

200 divided by 19.30 to the nearest 10th

Answers

19.30 to the nearest tenth is 20   20/200 = 10?

3(n - 1) = 5n + 3 - 2n

Answers

3(n - 1) = 5n + 3 - 2n
3n - 3 = 3n + 3
3n - 3n = 3 + 3
0 = 3 ...(incorrect)
This equation has no solution
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