How many pounds are there in 2 and 1 over 4 tons? (1 ton = 2000 pounds)

Two-fifths of a number is decreased by three. Find the value of the expression if the number is twenty-five.

Sindrei [870]

Let's take the number as x.

two-fifths of a number = 2x / 5
decreased by 3 = (2x/5) - 3

(2x/5) - 3
(2*25/5) - 3
(2*5) - 3
10 - 3
7

8 0

3 years ago

Read 2 more answers

The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours

Arada [10]

Answer:

The number of bacteria at initial = 187

Step-by-step explanation:

Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.

$\frac{dN}{dt} = k N$

$\frac{dN}{N} = k dt$

Integrating both side we get

㏑ N = k t + C ------- (1)

Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.

⇒ ㏑ 500 = 3 k + C -------- (2)

⇒ ㏑ 5000 = 10 k + C ------ (3)

⇒ ㏑ 5000 - ㏑ 500 = 7 k

⇒ ㏑ $\frac{5000}{500}$ = 7 k

⇒ ㏑ 10 = 7 k

⇒ k = 0.329

Put this value of k in equation (2),

⇒ ㏑ 500 = 3 × 0.329 + C

⇒ C = 5.23

Put this value of C in equation 1 we get,

⇒ ㏑ N = k t + 5.23

Initially when t = 0 , then

⇒ ㏑ N = 5.23

⇒ N = 187

Thus the number of bacteria at initial = 187

8 0

4 years ago

F + 2.5= 3f + 7.24 (What first step would you do to solve for f? )

Step2247 [10]

Step-by-step explanation:

We have our question.

f + 2.5= 3f + 7.24

Then you combine like terms that taking the coefficients apart.

That is,

NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .

f - 3f = 7.24 - 2.5

-2f = 4.74

Divide both sides by coefficient of f which is -2

-2f = 4.74

-2 -2

f = 8.49

8 0

3 years ago

Read 2 more answers

Question2 of 25If ASTU AABC, which congruences are true by CPCTC? Check all that apply.

Marysya12 [62]

If triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

Let's understand what is the congruence of the triangle.

If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

CPCTC stands for corresponding parts of congruent triangles are congruent.

Let's check in the triangle STU and triangle ABC;

triangle STU ≅ triangle ABC

So,

∠S ≅ ∠A

∠T ≅ ∠B

∠U ≅ ∠C

segment ST ≅ Segment AB

segment TU ≅ Segment BC

segment SU ≅ Segment AC

Thus, if triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

To learn more about the congruence of the triangle visit:

brainly.com/question/19258025

#SPJ9

3 0

1 year ago

Solve the equation for y. 3y = -6x + 1 y =

polet [3.4K]

The answer is y=-2x+1/3

5 0

3 years ago