A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?

Answer:

true

Step-by-step explanation:

figure B is figure A but 3 times the size.

Answer: 62

Step-by-step explanation: you set up the equation by making the two sums equal eachother. 2x+6=130. then you solve, subtract six from both sides, then you have 2x=124. divide both sides by 2 to get the sum of x. you get x=62

Answer:

water, food, toliet paper, toothpaste

Step-by-step explanation:

Answer:

3.03030303

Step-by-step explanation:

8÷8.25×100= 96.969696% ( percentage of no error)

percentage of error is 100- 96.969696= 3.030303

Answer:

c

Step-by-step explanation:

I hope this helps

Answer: hehehe

Step-by-step explanation:

Your mom

Answer:

The numbers are 2 and 3.

Step-by-step explanation:

Answer:

3 and 2

Step-by-step explanation:

3 x 2= 6

3+2=5

Answer:

1) 62.5

2) 50

3) 75

4) 100

Step-by-step explanation:

1)

Because it has a half-life of 25 days, half of it will decay after 25 days.

After [tex]25*4=100[/tex] days, there will be [tex](1/2)^{4}=1/2^{4}=1/16[/tex] of it left.

So, [tex]1000/16=\boxed{62.5}[/tex].

2)

Because it has a half-life of 25 days, half of it will decay after 25 days.

After [tex]25*3=75[/tex] days, there will be [tex](1/2)^{3}=1/2^{3}=1/8[/tex] of it left.

So, [tex]400/8=\boxed{50}[/tex]

3)

Because it has a half-life of 25 days, half of it will decay after 25 days.

After [tex]25*2=50[/tex] days, there will be [tex](1/2)^2=1/2^{2}=1/4[/tex] of it left.

So, [tex]300/4=\boxed{75}[/tex].

4)

The only answer left is [tex]\boxed{100}[/tex] grams. You can solve it the same way you solved the previous steps.

Answer:

the length of DE is A) 18

Step-by-step explanation:

these triangles are similar so you need to create a proportion!

since sides DF and FE are the same, it means that AC and CB are the same!

now we have to find the hypotenuse for DE, which is X

- set up a proportion!

side AC/side AB = side DF/side DE ----> 15/27 = 10/x

- butterfly multiply to get 15x = 270

- divide both sides by 15 to isolate x

now you get --------> x = 18!

comment or message me if you are still confused or have a question!

we first substitute the x

y= -2(-2-1)

=6

and then use a calculator to do the sum

which gives us 6

y= -2(-1-1)

= 4

y= -2(0-1)

=2

y= -2(1-1)

=0

y= -2(2-1)

=-2

Answer:

-16a-8

Step-by-step explanation:

(

2

−

1

)

(

2

−

1

)

−

(

2

+

3

)

(

2

+

3

)

{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)

(2a−1)(2a−1)−(2a+3)(2a+3)

2

(

2

−

1

)

−

1

(

2

−

1

)

−

(

2

+

3

)

(

2

+

3

)

Answer:

− 1 6 − 8

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Aight so the angle of line AB equals 180 degrees. You have 36 degrees plus the right angle (90 degrees) which gets you 126 degrees. Subtract 126 from 180 and you get 54, the remaining value. So if 2x=54, then divide both sides by 2 to get x=27. that should be it

Answer:

f=-2.75

Step-by-step explanation:

2(f-2)=3(2f+5)-8

2f-4=6f+15-8

2f-6f=7+4

-4f=11

f=-11÷4

=-11/4=-2/3/4=-2.75

Answer:

DG = 7z - 5

Step-by-step explanation:

In order to find DG, you add DE and GE.

Answer:

y int.=5

slope=-7/4

Step-by-step explanation:

-7x-4y=-20

+7x       +7x

-4y=7x-20

/-4 /-4 /-4

y=-7/4x+5

Answer:

[tex]x>17[/tex]

Step-by-step explanation:

We can treat an inequality just the same as an equality in terms of manipulation!(This doesn't hold for multiplying or dividing by negative numbers, but it holds for all addition).

So, we can add [tex]7[/tex] to both sides of the inequality to get [tex]x-7+7>10+7[/tex].

We can simplify [tex]-7+7[/tex] into [tex]0[/tex], and [tex]10+7[/tex] into [tex]17[/tex].

So, the answer is [tex]\boxed{x>17}[/tex] and we're done!

Answer:

50°

Step-by-step explanation:

According to the vertical angle theorem, two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

This would mean CBD is equal to ABE which means ABE would be 50°.

Answer:

1700-1540=160

Answer:

1700-1540=160

mp=160/1540*1700

17'1630

The slope of the line is m = -3

The y-intercept is (0,5)

The equation of the line in the slope-intercept form is y = 5-3x

Answer:

8x8.5 +37

68+37 = 105  

$105 dollars for an 8 hour shift

$68 salary + $37 tips = $105

Answer:

total wage in 8 hrs = $105  

Step-by-step explanation:

37 + (8 * 85) = 37 + 68 = $105   we simply do the maths without decimal then place on the 10's =(8 * 85) = 680 = $68 then add the $37 = $105

Answer:

49

Step-by-step explanation:

1/7^-2 is equal to 7^-2*-1 making it 7^2 which is equal to 49.

Answer:

the answer is 21.8

Substitute the value of the variable into the equation and simplify.

Answer:

None of the above

Step-by-step explanation:

Notice the wording "which of the following statements MUST VE TRUE..."

From the figure, we see that two angles with vertex S are congruent to two angles with vertex at Q.

There is no indication the two angles at S are congruent. There is no indication the two angles at Q are congruent.

We are not told anything about angle measures.

Answer: None of the above

Given equation of the line ,

[tex]\implies 4x - 5y +(-1) = 0 [/tex]

Simplify ,

[tex]\implies 4x - 5y - 1 = 0 [/tex]

Transpose terms to RHS ,

[tex]\implies 5y = 4x - 1 [/tex]

Divide both sides by 5 ,

[tex]\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}[/tex]

Now we know the slope intercept form of the line as [tex] y = mx + c [/tex] we have ,

As we know that the slope of all parallel lines are same . Henceforth ,

Answer:

a c and e

Step-by-step explanation:

Answer:

number of photos: 8, 12, 20, 28, 40

time (minutes): 2, 3, 5, 7, 10

Step-by-step explanation:

Answer:

She is paid $6.25.hour at the concession and $8.50 as a lifeguard.

Step-by-step explanation:

We know:

18 hours as a lifeguard

12 hours at concession

Total earned = $228

18L + 12C = 228

Then:

24 hours as a lifeguard

8 hours at concession

Total earned = $254

24L + 8C = 254

Move one equation around to get one variable by itself: in this case we can solve for L:

18L + 12C = 228

18L = 228 - 12C

L = (228/18) - (12/18)C

Plug in for L:

24((228/18) - (12/18)C) + 8C = 254

Solve for C:

C = 6.25

Now that we know C, plug in value for C and solve for L:

18L + 12(6.25) = 228

L = 8.5

So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.

Answer:

X=32

Step-by-step explanation:

First Find common denominator

Combine fractions with common denominator

Multiply the numbers

Multiply all terms by the same value to eliminate

And I think you got it from there :))))))))))))))

Answer:

x = 32

Step-by-step explanation:

Find a common denominator

x/4 + 4 ( -20 )/4 = -12

Combine fractions with denominator

Multiply the numbers

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

Add 80 to both sides of the equation

Then simplify!

Answer:

7 of the kids in your class play

Step-by-step explanation:

Hope this helps you :)

Answer: 1 2/3

Step-by-step explanation: