500×64+19÷2=__________

In a survey of 3400 people asked about their ice cream preference, 1600 enjoyed chocolate, 1250 enjoyedvanilla, 1700 enjoyed min

velikii [3]

Answer:

Step-by-step explanation:

To understand the situations we must do a Venn diagram:

The total of people asked is 3400. Then,

a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

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b) For people who did not enjoy chocolate, vanilla or mint:

$undefined$

4 0

1 year ago

An initial population of 415

slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

3 0

3 years ago

Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other

satela [25.4K]

1 m = 100 cm, so 5 m = 500 cm plus the 32 cm, so she has a rope that is 532 cm long.

532 - 249 = 283 cm

So the other piece of rope is 283 cm long.

4 0

3 years ago

A truck rental is $25 plus $ 0.40/mi find out how many miles ken traveled if his bill is $59.40

Zanzabum

Answer:

Step-by-step explanation:

C = 59.4

Fixed Cost (F) = 25

C = 25 + 0.4*x Solve for x

59.40 = 25 + 0.4x Subtract 25

34.4 = 0.4x Divide by .4

34.4/0.4 = x

x = 86 miles

4 0

3 years ago

Read 2 more answers

A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

Schach [20]

Answer:

Part A : |x-2.5| ≤ 0.75 , x ∈ [1.75,3.5]

Part B : yes, the lifeguard should add more chlorine.

Step-by-step explanation:

Part A:

Let C is the variation of the level of chlorine in a hot tub.

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

To find absolute value inequality, need to find the standard level of chlorine 1.75 + C or 3.25 - C

1.75 + C = 3.25 - C

2C = 5

C = 2.5

So, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

1.75 ≤ x ≤ 3.25

Subtract 2.5 from all sides

1.75 - 2.5 ≤ x -2.5 ≤ 3.25 - 2.5

-0.75 ≤ (x-2.5) ≤ 0.75

which is equivalent to the following absolute value inequality.

|x-2.5| ≤ 0.75

And the solve of the inequality : x ∈ [1.75,3.5]

Part B: If x = 1.0 ppm,

∴ |1.0-2.5| = 1.5 which is not less than equal to 0.75.

Another explanation:

the minimum safe level of chlorine in a hot tub is 1.75 ppm

Since 1 < 1.75

Therefore, lifeguard should add more chlorine.

8 0

3 years ago

500×64+19÷2=___________