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Answer:

Number of cups of lemonade = 59 cups

Step-by-step explanation:

Given the linear function :

C = 2t - 89

At temperature of 74° ;

The cups of lemonade as calculated using the linear model:

C = 2t - 89 ; where c = cost of lemonade ; t = temperature.

C = 2(74) - 89

C = 148 - 89

C = 59

A function assigns the values. The prediction that she will sell 40 cups of lemonade that day is wrong.

A function assigns the value of each element of one set to the other specific element of another set.

As it is given that function, c=2t-89, where the number of cups of lemonade is represented by c, and t represents the temperature of the day.

Now, as it is given that the temperature at the day is 74, therefore, the number of cups that will be sold that day can be predicted as,

[tex]c = 2t-89\\\\c = 2(74)-89\\\\c = 148-89\\\\c = 59[/tex]

Hence, the prediction that she will sell 40 cups of lemonade that day is wrong.

Learn more about Function:

https://brainly.com/question/5245372

Answer:

A, B, D

Step-by-step explanation:

Answer and explanation:

One route goes up and down the hill while the other goes around the edge of the hill, in other words one route goes through a hill to get to the destination while the alternative route has a tunnel that makes it possible to avoid the hill.

Relationship between distance and time is given by the formula:

Distance = Speed × time

For example to find the distance travelled with a speed of 10km/hr and 4 hours travelled, we simply multiply speed 10km/hr by time travelled 4 hrs = 40km

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

Answer:

48 pupils

Step-by-step explanation:

let the number of people in the class be x

⅚ of the number of pupils in a class is expressed as ⅚x

4 greater than three-quarters of the number in the class is expressed as 3/4x+4

Equating both expressions

⅚x = 3/4x + 4

5x/6 - 3x/4 = 4

(10x-9x)/12 = 4

x/12 = 4

x = 4*12

x = 48

Hence the number of pupils in the class​ is 48 pupils

Step-by-step explanation:

<1+<2=180

<2+<3=10

<1+<2=<2+<3=180

<2

<2

Answer:

Anything that is 11 or greater

Step-by-step explanation:

please make brainliest

Answer:

y is greater than 10

Step-by-step explanation:

(10, undefined)

Answer:

Step-by-step explanation:

There are six sides, in this case they are all equal square faces.

A=6s^2, s, side length is 5.5 so

A=6(5.5)^2

A=6(30.25)

A=181.5 cm^2

Answer:

book x 8

Step-by-step explanation:

Answer:

0.089

Step-by-step explanation:

We are given:

There were 7 chocolate bars, evenly shared between 4 friends

Number of Bars one person will get:

Number of bars one person will get = Number of Bars / Number of Friends

Number of Bars = 7 / 4

but since this number does NOT match any of the given options, we will convert it to a mixed fraction

The number of bars one person will get will be [tex]1\frac{3}{4}[/tex], written as a mixed fraction.

Therefore, the correct answer is option D

Answer:

4 friends =7 chocolate

1 friend =7/4 chocolate =1 3/4 part of chocolate.

Answer:

± 15 cm  

Step-by-step explanation:

In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.

In the second case, the uncertainty or error is also ± 1 cm.

Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm  

So, the total error in both cases is ± 15 cm.

Answer:

1 mile = 0.2 hours

Step-by-step explanation:

Given that,

Eddie can travel 20 miles in 4 hours.

We need to find how many hours does it take Eddie to travel 1 mile.

20 mile = 4 hours

1 mile = (4/20) hours

= 0.2 hours

So, to travel 1 mile will take 0.2 hours.

Answer:

7.

a) n + 1 represents the next larger integer

b) n + n + 1 + n + 2 + n + 3

c) s = n + n + 1 + n + 2 + n + 3

d) n = [tex]\frac{s-6}{4}[/tex]

e) n = 2174 - 6 / 4 = 2168 / 4 = 542

Step-by-step explanation:

Answer: A, scale factor is 3

Step-by-step explanation:

Answer:

G. 12 cm

Step-by-step explanation:

Length of one leg of right triangle = a = 9 cm

Length of hypotenuse = c = 15 cm

Length of the other leg = b = ?

Applying pythagorean theorem, c² = a² + b², we have:

15² = 9² + b²

15² - 9² = b²

144 = b²

b = √144

b = 12

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

Answer:

36

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

90/5=18

Answer:

16.6666666667

Step-by-step explanation:

Answer: 50/3 or 16 2/3 or 16.67

Step-by-step explanation:

Given

18-3k÷9

Substitute [k] value into the given expression

 18-3k÷9

=18-3(4)÷9 ⇒ Substitute the value

=18-12÷9 ⇒ Expand the parenthesis

=18-4/3 ⇒ First do division

=54/3-4/3 ⇒ Convert an integer into a fraction

=50/3=16 2/3=16.67

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

[tex]x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*4*(-1)} }{2*4} = \frac{4+ -\sqrt{32} }{8} = \frac{4 +-5.66}{8}[/tex]

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step 1: Locate and underline the tenth place (4) and look to the right (8)

1.48

Step 2: In this case, the digit to the right 8 is 5 or above. So, we add 1 to the tenth place 4. The digit at the right 8 becomes 0, thus we get 1.5 as the answer.

In short: 1.48 rounded to the nearest tenth is 1.5.

Hope that helped

Answer:

4

Step-by-step explanation:

1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);

2. using the previous item it is possible to write the next equation:

5(x+20)=4*20+10*x; ⇒ x=4.

3. the required mass is 4 pounds.

Answer:

~9.27

Step-by-step explanation:

6*8+6=54

4*8=32

54+32=86

The square root of 86 is ~9.27

Answer: 125

The best prediction for the number of times a 4 will be drawn from the pile is:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)

=(1/8)×1000

=125