Mathematics, 02.09.2019 11:30 jorell

Joshua wants to burn at least 400 calories per day, but no more than 600. he does this by walking and playing basketball. assuming he burns 4 calories per minute walking, w, and 5 calories per minute spent playing basketball, b, the situation can be modeled using these inequalities:
4w + 5b ≥ 400
4w + 5b ≤ 600
which are possible solutions for the number of minutes joshua can participate in each activity? check all that apply.
40 minutes walking, 40 minutes basketball
60 minutes walking, 20 minutes basketball
20 minutes walking, 60 minutes basketball
50 minutes walking, 50 minutes basketball
60 minutes walking, 80 minutes basketball
70 minutes walking, 60 minutes basketball

Answers: 2

Show answers

Answers

Answer from: 6946599268

D: 50 minutes walking; 50 minutes basketball
F: 70 minutes walking; 60 minutes basketball

Answer from: luvpeaceandsocc6312

Given the inequalities:

$4w+5b\geq 400$ .....[1]

$4w+5b\leq 600$ .....[2]

where w is the walking and b is the basketball

To get the possible solution we substitute each options in above inequalities to satisfy the equation;

Option A:

w = 40 minutes walking, b = 40 minutes basketball.

Substitute in [1] we have;

$4 \times 40 + 5 \times 40 \geq 400$

$160+200 \geq 400$

$320 \geq 400$

Substitute in [2] we have;

$4(40) + 5(40) \leq 600$

$320 \leq 600$

Option A is not possible because the solution 40 minutes walking, 40 minutes basketball does not satisfy equation [1].

Option B:

Similarly, for 60 minutes walking, 20 minutes basketball

Option B is not possible because the solution 60 minutes walking, 20 minutes basketball does not satisfy equation [1].

Option C:

for 20 minutes walking, 60 minutes basketball

Option C is not possible because the solution 20 minutes walking, 60 minutes basketball does not satisfy equation [1].

Option D:

For 50 minutes walking, 50 minutes basketball.

Substitute in [1] we have;

$4 \times 50+ 5 \times 50\geq 400$

$200+250 \geq 400$

$450 \geq 400$

Substitute in [2] we have;

$4(50) + 5(50) \leq 600$

$450 \leq 600$

Option D is possible because the solution 50 minutes walking, 50 minutes basketball does satisfy the inequality equation [1] and [2].

Option E:

Similarly, for 60 minutes walking, 80 minutes basketball

Option E is not possible because the solution 60 minutes walking, 80 minutes basketball does not satisfy inequality equation [2].

Option F:

For 70 minutes walking, 60 minutes basketball.

Substitute in [1] we have;

$4 \times 70+ 5 \times 60\geq 400$

$280+300 \geq 400$

$580\geq 400$

Substitute in [2] we have;

$4(70) + 5(60) \leq 600$

$580\leq 600$

Option F is possible because the solution 70 minutes walking, 60 minutes basketball does satisfy the inequality equation [1] and [2].

Therefore, only options D and F are the possible solutions for the number of minutes Joshua can participate in each activity.

Answer from: Quest

the perimeter is increased by a factor of 2

Answer from: Quest

step-by-step explanation:

jbjuiuhuhuuy

Can somebody me with this math problem i’ve been stuck on it all day.

Another question on Mathematics

Mathematics, 21.06.2019 14:30

After the seventh month of a 12-month loan: the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} = , and the denominator is: {(n) + (n + 1) + + (n + 11)} = . therefore, the fraction is numerator/denominator (to the nearest tenth) = %

Answers: 2

Answer

Mathematics, 21.06.2019 15:00

Pj is decorating pupcakes for rocky's birthday party. her color scheme is black, purple, and green. she will use this spinner to determine the color of sprinkles on each pupcake. which model shows the probability of randomly landing on each color?

Answers: 3

Answer

Mathematics, 21.06.2019 22:10

Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (hint: if the spider rotates 360 degrees -- or 720 degrees or 1080 degrees -- she will be facing in the same direction in which she started. when the spider is done drawing, you want her to be facing in the same direction in which she started. she'll be making 12 rotations, all the same size, so each rotation must be some multiple of 360/12 = 30 degrees.) urgently. been stuck on this problem for around 45 minutes now.! it should be easy if you're smart enough

Answers: 3

Answer

Mathematics, 21.06.2019 23:00

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the catererâ€™s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

Answers: 1

Answer

You know the right answer?

Joshua wants to burn at least 400 calories per day, but no more than 600. he does this by walking an...

Questions