Valentino sells ice cream cones and ice cream tubs.

The ice cream flavours are chocolate, strawberry and vanilla.

On Sunday, 120 people each bought one ice cream from Valentino. The two-way table shows some information about these ice creams.

One of the 120 people is picked at random.

Find the probability that this person bought a vanilla ice cream cone.

Answer:

its 60198.6

Step-by-step explanation:

use the formula present price=orginal price(1-rate/100)^years

Answer:

see explanation

Step-by-step explanation:

(a)

To evaluate f(5) substitute x = 5 into f(x), that is

f(5) = 2(5) - 1 = 10 - 1 = 9

(b)

To evaluate g(x - 2) substitute x = x - 2 into g(x), that is

g(x - 2)

= (x - 2)² + x - 2 + 1 ← expand (x - 2)² using FOIL

= x² - 4x + 4 + x - 2 + 1 ← collect like terms

= x² - 3x + 3

Answer:

4 hours

Step-by-step explanation:

To find the time it takes to travel the distance, divide the distance by the speed they are going.

(240 miles)/(60 miles per hour) = 4 hours

It will take them 4 hours.

Answer:Answer:

4 hours

Step-by-step explanation:

To find the time it takes to travel the distance, divide the distance by the speed they are going.

(240 miles)/(60 miles per hour) = 4 hours

It will take them 4 hours.

Step-by-step explanation:

Answer:

-x³ - 6x - 2

Step-by-step explanation:

We can either use long division or synthetic division to help us divide this. You could also factor to get your answer.

Answer:

Step-by-step explanation:

The formula you will need for this is:

[tex]A=A_0(\frac{1}{2})^{\frac{t}{H}[/tex] where A is the amount after some decay has happened, A₀ is the intial amount, t is the time in hours, and H is the half-life in hours. Those values for us are:

A = 2 g

A₀ = 25 g

H = 4.95 hrs and

t = ?

Filling in:

[tex]2=25(\frac{1}{2})^{\frac{t}{4.95}[/tex] Keep in mind that, because of the nature of the exponential form of this equation, you CANNOT simply multiply the 25 by the 1/2. Exponential equations don't work that way. Begin instead by dividing both sides by 25 to get

[tex].08=(\frac{1}{2})^{\frac{t}{4.95}[/tex] The goal is to get that t out from its exponential position. Do that by taking the natural log of both sides:

[tex]ln(.08)=ln(.5)^{\frac{t}{4.95}[/tex]

After you take the natural log of the right side, the property allows you to bring the exponent down out front:

[tex]ln(.08)=\frac{t}{4.95}ln(.5)[/tex]

Now divide both sides by ln(.5) to get

[tex]\frac{ln(.08)}{ln(.5)}=\frac{t}{4.95}[/tex]

Simplify the left side out on your calculator to get

[tex]\frac{-2.525728644}{-.6931471806}=\frac{t}{4.95}[/tex] and then divide:

[tex]3.643856=\frac{t}{4.95}[/tex]

Finally, multiply both sides by 4.95 to get

3.643856(4.95) = t so

t = 18.0 hours which is choice C

Answer:

it is 13093 i got it correct

Answer:

10 more men

Step-by-step explanation:

1.5 road made per man

Answer:

Explanation:

Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

Means the total cost of the apples purchased

Step-by-step explanation:

.79A

Means the total cost of the apples purchased

Each apple is .79 and A is the number of apples purchased

Multiplied together is the total cost of the apples purchased

Answer:

(B)-4

Step-by-step explanation:

From the table, consider the points (-4,-2), (-2,-10) and (-1,-14)

[tex]\text{Slope, m }=\dfrac{y_2-y_1}{x_2-x_1} \\=\dfrac{-10-(-2)}{-2-(-4)} \\=\dfrac{-10+2}{-2+4} \\=\dfrac{-8}{2} \\\\m=-4[/tex]

The slope of the function is -4.

The correct option is B.

Answer:

(B) -4 is your answer

Step-by-step explanation:

Hope this helps

:) :) 8) ;)

Answer:

a = -20/9.

Step-by-step explanation:

We can write it as

f(x) = a(x - 7)(x + 1)

When x = -2 and y = -20   (at the point(-2, -20):

-20 = a(-2 -7)(-2 + 1)

-20 = -9*-1 a

9a = -20

a = -20/9.

Answer:

Yes

Step-by-step explanation:

Estimated difference > Actual difference. Hence, 1000 is the approximate answer. 2. We can estimate the product and quotient of numbers by rounding off the numbers to the greatest place.

Answer:

90.91 years

Step-by-step explanation:

If the rate of population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year, increase in yearly population = 1.1/100 × 7,100,000,000

= 1.1 × 71,000,000

= 78,100,000

The amount increases by 78.1million every year.

To know how long it will take the population to double.

double of the initial population = 2×7,100,000,000 = 14,200,000,000

Increment per year = 78,100,000

Time it will take for the population to double = 7,100,000,000/78,100,000

= 90.91

≈ 91

This means it will take about 90.91years for the population to double

The temperature (t) needs to be greater than 60

So you would have t > 60

Answer:

t > 60

Explanation:

In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'

Read the following quote from the problem...

"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."

Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.

Now, let's find out what symbol we will use to compare the terms.

Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.

Finally, use all the facts we have established to write the inequality.

· t = air temperature

· > = greater than

· 60 = max temp. before forest fire occurs

Therefore, the inequality for the solution is t > 60.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using six random samples, the average number of catfish in the samples was 5.7

Answer:

Uhhhh......Hi??

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

hope this helps!

Answer:

false

Step-by-step explanation:

because a<0 and b<0 then ab>0

Answer:

False

Step-by-step explanation:

You don't know what a or b is for example it could be a=-3 b=-4. In that case ab= 12 but a and b indavidually are less than zero making this statment false

Answer: {4,5,6}

Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.

In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.

The height x of the equilateral triangle is 4√3 inches

Equilateral triangles are triangles that have all its sides and angles equals to each other. The three angles are 60 degrees each.

Therefore,

The side length of the equilateral triangle is 8 inches. Therefore, let's find the height of the triangle using Pythagoras theorem.

c² = a² + b²

8² - 4² = b²

b² = 64 - 16

b² = 48

b = √48

b = √16 × 3

b = 4√3

learn more on equilateral triangle here: https://brainly.com/question/821299

Answer:

[tex]4\sqrt{3}[/tex]

Hope this helps!

Step-by-step explanation:

Answer:

  H.  $12.50

Step-by-step explanation:

Misha wants 1 1/4 yards for each of two straps, for a total of 2 1/2 yards. The ribbon costs $5 per yard, so the total cost for the two straps is ...

  (2 1/2 yards)($5 /yard) = $12.50

Answer:

             [tex]\bold{y+1=5(x+1)}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5[/tex]

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex]x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)[/tex]

Answer:

I believe the number of terms are 10

Step-by-step explanation:

The number of terms in the given sequence(5240,4365, 3490, 2615, ..., -2635) is 10.

In mathematics, a sequence is an enumerated group of elements in which repetitions are allowed and order is significant.

The 1st term in the given sequence is 5240

The 2nd term is 4365 = 5240 - 875

The 3rd term is 3490 = 4365 - 875

The 4th term is 2615 = 3490 - 875

Then the 5th term is 2615 - 875 = 1740

The 6th term is 1740 - 875 = 865

The 7th term is 865 - 875 = - 10

The 8th term is - 10 - 875 = - 885

The 9th term is - 885 - 875 = - 1760

The 10 the term is - 1760 - 875 = - 2635.

Therefore the number of terms in the given sequence(5240,4365, 3490, 2615, ..., -2635) is 10.

Know more about sequences here -

https://brainly.com/question/22241938

#SPJ2

Hey there! :)

Answer:

We can use the Pythagorean theorem to show that both triangles contain equivalent shorter legs:

Triangle A:

13² = 12² + b²

169 = 144 + b²

25 = b²

b, or the other leg, = 5 cm.

--------------------------------------

Triangle B:

c² = 12² + 5²

c² = 144 + 25

c² = 169

c = 13 cm.

---------------

Both triangles contain legs with side-lengths 5, 12, and 13 cm. The triangles are congruent because the lengths of the corresponding sides between triangle A and B are equivalent, which was proved using the Pythagorean Theorem.

Answer:

Angle C measures:  [tex]71.52^o[/tex]

Step-by-step explanation:

When you know the length of the three sides of the triangle and not a single angle, the law of sines is of no use. You need to use the law of cosines. In your case, since you want to find angle "C", you use the following;

[tex]c^2=a^2+b^2-2\,a\,b\,cos(C)\\2\,a\,b\,cos(C)=a^2+b^2-c^2\\cos(C)=\frac{a^2+b^2-c^2}{2\,a\,b} \\cos(C)=\frac{16^2+21^2-22^2}{2\,(16)\,(21)}\\cos(C)=0.3169643\\C=arccos(0.3169643)\\C=71.52^o[/tex]

Answer:

8√3

Step-by-step explanation:

Sin 30 =4√3/DE

DE = 4√3/Sin30 = 8√3

Answer:

Step-by-step explanation:

See below for a graph showing the parallelogram and the rectangle.

The dimensions of the rectangle are 11 by 20. The rectangle area is ...

  rectangle area = bh = (11)(20) = 220 . . . square units

There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...

  triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units

The area of the parallelogram is the difference of these, ...

  parallelogram area = rectangle area - triangle area

  = (220 units²) -(110 units²) = 110 units²

The area of parallelogram ABCD is 110 square units.

_____

Check

The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.

Answer:

1) 11 by 20   2) 110  3) 110      correct on edg

Step-by-step explanation:

Create a rectangle around the parallelogram. The dimensions of this rectangle are

11 by 20

Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is

110 square units.

Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is

110 square units.

Answer:

x=6

Step-by-step explanation:

We can use ratios to determine the value of x

x           9

------ = ----------

10          15

Using cross products

15x = 9*10

15x = 90

Divide each side by 15

15x/15 =90/15

x = 6

Answer:

6.

Step-by-step explanation:

Triangles PQR and P'Q'R' are similar.

By similar triangles, the corresponding sides are in the same ratio

x / 10 = 9/15

15x = 90

x = 6.

Answer:

Positive

Step-by-step explanation:

123 1/23 + (-123 1/23)

Opening the bracket, we have ;

123 1/23 - 123 1/23 = 0

Kindly note that 0 is not a sign, so we cannot select it as an option.

0 is a positive number and not negative.

Thus the sign we have is the positive sign and that gives our answer