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andreev551 [17]
1 year ago
14

Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Li's suitcase without

going over the 50-pound limit. What is the solution set? x Less-than-or-equal-to 2.25 x Less-than-or-equal-to 2.75 x Greater-than-or-equal-to 2.25 x Greater-than-or-equal-to 2.75
Mathematics
2 answers:
blsea [12.9K]1 year ago
7 0

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

myrzilka [38]1 year ago
6 0

Answer:

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

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Jesus wants to start saving for college. His parents started an account for him that currently holds $325. Jesus adds $50 each m
erma4kov [3.2K]

Answer:

y-intercept, c = 325

Slope, m = 50

The x-axis represents the number of months and y-axis represents the total amount in saving accounts.

Step-by-step explanation:

We are given the following in the question:

A saving account currently holds $325. Jesus adds $50 each month.

Let x be the number of months and y be the total money n the saving account.

Then, we can use a linear function to represent the money in the account.

y(x) = 325 + 50x

Comparing to general linear function,

y = mx + c

where m is the slope and tells the rate of change and c is the y-intercept that is the value when x is zero.

Comparing we get:

m = 50

c = 325

y-intercept = c = 325

Slope, m = 50

The x-axis represents the number of months and y-axis represents the total amount in saving accounts.

The attached image shows a graph for the same.

7 0
2 years ago
H is directly proportional to the square root of p h= 5.4 when p = 1.44 find h when p =2.89
LenKa [72]

Answer:

h=7.65

Step-by-step explanation:

H is directly proportional to the square root of p;

Let k be the constant of proportionality;

Means h=k√p

This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;

h1/√p1=h2/√p2

Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)

So that

5.4/√1.44=h/√2.89

5.4/√1.44 ×√2.89 = h

7.65= h

h=7.65

8 0
2 years ago
What is the difference of the polynomials?(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)A–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5B–6x4y 
saul85 [17]

We have to calculate the difference of the given polynomials, we follows as:

(-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-(6x^{4}y-5x^{2}y^{3}-y^{5})

After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.

=(-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-6x^{4}y+5x^{2}y^{3}+y^{5})

Combining all the like terms, we get as

=(-2x^{3}y^{2})+(4x^{2}y^{3}+5x^{2}y^{3})-3xy^{4}-6x^{4}y+y^{5}

=-2x^{3}y^{2}+9x^{2}y^{3}-3xy^{4}-6x^{4}y+y^{5}

Option A is the correct answer.

6 0
2 years ago
Read 2 more answers
Casey deposited $1,450 in a bank account with an interest rate of 4% How much simple interest was earned in two years? Is the an
pantera1 [17]

Answer:

The simple interest was earned is $116

Yes; the answer is $116

Step-by-step explanation:

- The rule of the simple interest is:

→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate

of interest in decimal, and t is the time of investment

- Casey deposited $1,450 in a bank account with an interest rate of 4%

- We need to find the amount of interest Casey earned in two years

- The interest is simple

∵ P = $1450

∵ r = 4% = 4/100 = 0.04

∵ t = 2 years

∵ The interest is simple

∴ <em>I = Prt</em>

- Substitute the values of P , r , t in the rule

∴ I = 1450 × 0.04 × 2 = 116

∴ <em>The simple interest was earned is $116</em>

* <em>Yes; the answer is $116</em>

7 0
2 years ago
while still in the hospital, the doctor writes an order for an antibiotic at 400mg / kg / day. You are nervous now because the n
bezimeni [28]
123 lb * (0.4536 kg/lb) * 300mg/(kg · day) = (123 * 0.4536 * 300) mg/day = 16737.84 mg/day 16737.84 mg/day * 1g/(1000mg) = 16.73784 g/day
8 0
2 years ago
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