-3=x is infinitely many solutions, one solution, no solutions

Harper has $15.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers

Anestetic [448]

Answer:

Step-by-step explanation:

Let x represent the maximum number of bags of fruit that Harper can buy.

She is going to buy bags of fruit that cost $4.75 each and one box of crackers that cost $3.50. This means that the total cost of x bags of fruit and one box of crackers would be

4.75x + 3.5

If Harper has $15.00 to spend at the grocery store, it means that

4.75x + 3.5 = 15

4.75x = 15 - 3.5 = 11.5

x = 11.5/4.75

x = 2.42

Therefore, the maximum number of bags of fruit that Harper can buy is 2 because the number of bags must be whole numbers.

7 0

3 years ago

Determine the moment m that will produce a maximum stress of 70 mpa on the cross-section

gogolik [260]

The moment M that will produce a maximum stress of 70 MPa on the cross-section of 177.3 will be 13.533 kN-m.

<h3>What is bending stress?</h3>

Bending stress is the typical stress that an item experiences when it is exposed to a heavy load at a specific spot, causing it to bent and fatigue.

The moment of inertia above the neutral axis will be

Iₓₓ = 99 x 84.7³/3 - (99 - 12 x 3) (84.7 - 12)³/3

Iₓₓ = 11983247 mm⁴

The moment of inertia below the neutral axis will be

Iₓₓ = 2 x 12 x (87 - 84.7)³/3 + 12 x 177.3³/3

Iₓₓ = 22294005 mm⁴

Then the moment of inertia about the neutral axis will be

Iₓₓ = + 11983247 + 22294005

Iₓₓ = 34277252 mm⁴

Then for maximum bending stress, we have

M = σ x Iₓₓ / y(max)

We have

σ = 70 MPa

Iₓₓ = 34277252 mm⁴

y(max) = 177.3

Then we have

M = 70 x 34277252 / 177.3

M = 13.533 kN-m

More about the bending stress link is given below.

brainly.com/question/24227487

#SPJ4

8 0

2 years ago

a 24000 gallon pool is being filled at a rate of 40 gallons per minute. at this rate, how many minutes will it take to fill this

ruslelena [56]

<span>First you take 3/4 of the tank (18000 gallons)
then you have to divide that by 40 to find out how many minutes it will take to get it.
the answer would be 450 minutes</span><span>i hope that thiss helps you out, have an amazing day!!</span>

4 0

3 years ago

Solve the inequality.<br><br> 5/6t - 3≥3t + 6

Papessa [141]

Answer:

t ≤ $-\frac{54}{13}$

Step-by-step explanation:

$\frac{5}{6}$ t−3−3t≥3t+6−3t

$-\frac{13}{6}$ t−3≥6

- $\frac{13}{6}t$ −3+3≥6+3

$\frac{13}{6}$ t≥9

$-\frac{6}{13}$ ( $-\frac{13}{6}$ t) ≥ $-\frac{6}{13}$ (9)

t ≤ $-\frac{54}{13}$

6 0

2 years ago

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago