Write the phrase as an elgebric expression. 6 less than a number times 11.

Astrid wants to buy pumpkins and watermelons. She wants to buy more than 10 fruits, and she has a

Stolb23 [73]

Answer:

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

Step-by-step explanation:

Let

P ----> the number of pumpkins and watermelons she can buy

W ----> the number of watermelons she can buy

we know that

$P+W > 10$ ----> inequality A

$5.5P+3.5W < 117$ ---> inequality B

Note Both inequalities are given in the problem

If Astrid buy 7 pumpkins and 3 watermelons

then

we have the ordered pair (7,3)

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

For P=7, W=3

Verify Inequality A

$P+W > 10$

substitute the value of P and the value of W

$7+3 > 10$

$10 > 10$ ----> is not true

so

The ordered pair not satisfy the inequality A

Verify Inequality B

$5.5P+3.5W < 117$

substitute the value of P and the value of W

$5.5(7)+3.5(3) < 117$

$49 < 117$ ----> is true

so

The ordered satisfy the inequality B

therefore

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

8 0

3 years ago

Add 350 pounds to 4 tons. 4,350 lb. 8,350 lb. 4.5 tons 5 tons

levacccp [35]

8,350 lb.

1 ton = 2000 lbs, 2000 x 4 = 8000 + 350 lbs = 8,350 lbs

7 0

3 years ago

Dranny painted 1/4 of her room in one day did she paint more or less than half of her room ?explain your answer

Licemer1 [7]

Less than half because 1/4 < 1/2

8 0

3 years ago

Let F(s) 1.1s + 0.03s2 represent the stopping distance (in feet) of a car travelling at s miles per hour. Calculate F(60) and es

Alinara [238K]

Answer:

F(60) = 3666 feet

Estimated Increase in Stopping Distance: 123.1 feet

Actual Increase in Stopping Distance: 122.1 feet

The cost of producing 3000 bagels is $1036.5

The Estimated cost of the 3001st bagel is $1036.736.

The actual cost of the 3001 st bagel is $1036.737.

Step-by-step explanation:

F(s) = 1.1s + s²

F(60) = 1.1(60) + (60)²

= 66 + 3600

F(60) = 3666 feet

To find the estimate increase in stopping distance, differentiate the function to get F'(s) and then find F'(61)

F'(s) = $\frac{dF(s)}{ds}$ = 1.1 + 2s

F'(61) = 1.1 + 2(61)

F'(61) = 123.1 feet

If speed is increased from 60 to 61, we can find the actual increase by finding F(61) and then subtracting F(60) from it.

F(61) = 1.1(61) + (61)²

F(61) = 3788.1 feet

Increase = 3788.1 - 3666

Increase = 122.1 feet

F(60) = 3666 feet

Estimated Increase in Stopping Distance: 123.1 feet

Actual Increase in Stopping Distance: 122.1 feet

C(x) = 300 + 0.25x - 0.5 ( $\frac{x}{1000}$ )³

C(3000) = 300 + 0.25(3000) - 0.5 (3000/1000)³

= 300 + 750 - 13.5

C(3000) = $1036.5

The cost of producing 3000 bagels is $1036.5

To estimate the cost of the 3001st bagel, we need to differentiate the function and then find the increase in price at the 3001st bagel. The answer then needs to be added to C(3000). So,

C'(x) = 0.25 - 0.5*3 (x/1000)²/1000

C'(3001) = 0.25 - 0.5*3 (3001/1000)²/1000

C'(3001) = 0.236

C(3001) = C(3000) + C'(3001)

= 1036.5 + 0.236

C(3001) = $1036.736

The Estimated cost of the 3001st bagel is $1036.736.

C(3001) = 300 + 0.25(3001) - 0.5(3001/1000)³

= 300 + 750.25 - 13.5135

C(3001) = $1036.737

The actual cost of the 3001 st bagel is $1036.737.

5 0

3 years ago

Convert the following numbers in to quinary numeration system 7521

Julli [10]

Answer:

$220041_{5}$

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Write the phrase as an elgebric expression. 6 less than a number times 11. ​

Write the phrase as an elgebric expression. 6 less than a number times 11.