Given the following proportion , label the triangles with the appropriate lengths to make the proportion true.

A culture started with 6,000 bacteria. After 5 hours, it grew to 7,800 bacteria. Predict how many bacteria will be present after

AleksandrR [38]

Answer:

After 5 hours, the amount of bacteria increased: 7800-6000=1800

After 1 hours, the amount of bacteria increased: 1800/5=360

After 18 hours, the amount of bacteria increased: 360*18 = 6480

=> Total amount of bacteria after 13 hours: 6000+6480 =12480

4 0

3 years ago

I suck at math. help me. i would app it.

Verizon [17]

Answer:

x= 2

Step-by-step explanation:

y = 7 means it is parallel to the x axis . so the perpendicular line is to be parallel yo the y axis. .

so the equation is to be like x = c

but it is passing (2,13)

so the equation is

x= 2

3 0

2 years ago

7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years?

My name is Ann [436]

Answer:

$\$12,679.50$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=11\ years\\ P=\$7,900\\ A=?\\r=5.5\%=5.5/100=0.055$

substitute in the formula above

$A=7,900(1+0.055*11)$

$A=7,900(1.605)$

$A=\$12,679.50$

6 0

2 years ago

Which of the following situations results in an answer of 23 ? Select three that apply.

Nata [24]

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

4 0

2 years ago

Write an equation that can be used to solve the problem. Then answer the question asked. A group of college students are volunte

svp [43]

Answer:

Required equation : $\frac{1}{t}=\frac{1}{3}+\frac{1}{9}$

Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

Step-by-step explanation:

It is given that Dale Horton can paint a certain room in 3 hours.

One hour woks of Dale Horton = 1/3

Kathy Garcia can paint the same room in 9 hours.

One hour woks of Kathy Garcia = 1/9

Let together they can paint the same room in t hours.

One hour woks of both = 1/t

$\frac{1}{t}=\frac{1}{3}+\frac{1}{9}$

$\frac{1}{t}=\frac{3+1}{9}$

$\frac{1}{t}=\frac{4}{9}$

After reciprocal we get

$\frac{t}{1}=\frac{9}{4}$

$t=2.25$

1 hour = 60 minutes.

0.25 hour = 15 minutes.

Therefore, together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

4 0

3 years ago