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3 years ago

Solve the inequality 2.5d+11.4<-1.3d solve the inequality

Mathematics

2 answers:

Mazyrski [523]3 years ago

7 0

Answer:

$d < -3$

Step-by-step explanation:

Move the constant to the right-hand side and change its sign:

$2.5d < - 1.3d - 11.4$

Move the variable to the left-hand side and change its signs:

$2.5d + 1.3d < 11.4$

Collect like terms:

$3.8d < - 11.4$

Divide both sides of the inequality by 3.8:

$3.8 \div - 11.4 = - 3$

Therefore, the answer is d < -3.

Pie3 years ago

5 0

Answer:

d < -3

Step-by-step explanation:

2.5d+11.4<-1.3d

3.8d+11.4<0

3.8d<-11.4

d < -3

Just isolate and solve for x and remember, what you do to one side, you must do to the other.

Hope this helps!

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Iodine-131, a radioactive substance that is effective in locating brain tumors, has a half-life of only 8 days. A hospital pur

Aloiza [94]

The mass of substance left after 7 days is 13.09 g

The mass of substance left, N is given by

N = N₀exp(-λt) where λ = decay constant and N₀ = initial mass of substance present = 24 g and t = time

Also, λ = 0.693/t' where t' = half-life of iodine = 8 days

So, λ = 0.693/t'

λ = 0.693/8

λ = 0.086625/day

Since the mass of substance left is N = N₀exp(-λt) and we require the mass of substance after t = 7 days,

N = N₀exp(-λt)

N = 24 gexp(-0.086625/day × 7 days)

N = 24 gexp(-0.606375)

N = 24 g × 0.5453

N = 13.09 g

So, the mass of substance left after 7 days is 13.09 g

Learn more about radioactive decay here:

brainly.com/question/23705307

7 0

3 years ago

Please help me solve this question!

dimaraw [331]

Answer:

x = -3/2

Step-by-step explanation:

3 / (x − 1) − 1 / (x² − 1) = 5 / (x − 1)

Subtract 3 / (x − 1) from both sides:

-1 / (x² − 1) = 5 / (x − 1) − 3 / (x − 1)

The denominators are the same, so subtract:

-1 / (x² − 1) = 2 / (x − 1)

Cross multiply:

-1 (x − 1) = 2 (x² − 1)

Simplify and solve:

-x + 1 = 2x² − 2

0 = 2x² + x − 3

0 = (x − 1) (2x + 3)

x = -3/2 or 1

x can't be 1 (can't divide by 0), so x = -3/2.

5 0

4 years ago

The number of apples and plums are 10- partners. There are the same number of apples and pears.how many pieces of fruit could Ch

Sergio039 [100]

Answer:

The correct answer is that Charlie could gather between 11 and 19 pieces of fruit.

Correct question and statement:

Charlie gathers apples pears and plums. The number of apples and plums are 10 partners, there are the same number of apples and pears. How many pieces of fruit could Charlie gather?

Source: https://doubtnut.com/question-answers/charlie-gathers-apples-pears-and-plums-the-number-of-apples-and-plums-are-10-partners-there-are-the--1089418

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of apples = x

Number of plums = 10 - x (number of apples and plums are 10 partners)

Number of pears = x (there are the same number of apples and pears)

2. How many pieces of fruit could Charlie gather?

We don't know the number of apples, pears and plums. The only information we have is that the number of apples and plums are 10 partners, it means that they add up 10. In addition, the number of pears and apples are the same.

Therefore, the number of pieces of fruit Charlie could gather is 10 plus a whole number between 1 and 9 (all the possible numbers that are 10 partners). It means Charlie could gather between 11 and 19 pieces of fruit.

Note: Same answer to question 14280130, answered by me today.

5 0

3 years ago

Need help putting domain and range into set notation. The function is y = [1/2x]+1

Elanso [62]

Answer:

Domain=2, Range=1

Step-by-step explanation:

Domain and range are like x and y, or input and output. So I would assume it would be domain=2(from the slope) and range=1(from the slope and the y-intercept) I could be very wrong tho.

6 0

3 years ago

Mrs. Williams uses the following recipe for crispy rice treats. She decides to make 23 of the recipe.

FinnZ [79.3K]

Answer:

Butter: 2•2/3=4/3=1&1/3 cups

Marshmallows: 24•2/3=16 oz

Cereal: 13•2/3= 26/3=8&2/3 cups

Step-by-step explanation:

To find how much she needs of every ingredient, multiply every ingredient by 2/3.

6 0

2 years ago