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oksian1 [2.3K]
3 years ago
8

Suppose you had x dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially?

Write and solve an inequality that represents this situation.
A) x + 22 ≤ 28 ; x ≤ 72

B) x - 22 ≥ 28 ; x ≥ 50

C) x - 22 > 28 ; x > 50

D) x + 22 ≥ 28 ; x ≥ 72
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

spent 22 ---> x - 22.

at least 28 left ---> (x - 22) >= 28

SOLVE:

x - 22 >= 28

x >= 50

Natasha2012 [34]3 years ago
6 0

Answer:

B) x - 22 ≥ 28 ; x ≥ 50

Step-by-step explanation:

Given,

The original amount in the bank = x dollars,

After spending $ 22,

Remaining amount = ( x - 22 ) dollars,

∵ Remaining amount must be at least $ 28,

⇒ x - 22 ≥ 28

Which is the required inequality,

Add 22 both sides,

x -22 + 22 ≥ 28 + 22

x ≥ 50

Hence, option B is correct.

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larisa86 [58]
<u>Part A
</u>
<u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, \frac{3}{5} and \frac{2}{3} equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

<u>Part B
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<u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

1 \frac{3}{5} \\ \\  (5*1)+3 =8 \\  \\  \frac{8}{5}  \\  \\  \\ \\  1 \frac{2}{3} \\  \\ (3*1)+2=5 \\  \\  \frac{5}{3}  &#10;

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

\frac{8}{5} *3 =   \frac{24}{15} \\  \\  \frac{5}{3} *5 =  \frac{25}{15}

Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

\frac{49}{15} \\  \\ 49 / 15 = 3(Remainder: 4) \\  \\  3\frac{4}{15}

Using that logic, we can see that the painter needs exactly 3 \frac{4}{15} gallons of paint.    
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3 years ago
Explain how you would graph 3x+9y= -18 without converting to slope-intercept form​
Zolol [24]

Answer:

you would solve using x and y intercepts.

Step-by-step explanation:

for the X intercept, Y=0

3x=-18. you divide by three on both sides

x=-6. (-6,0)

the for the y intercept, X=0

+9y=-18. you divide 9 on both sides.

y=-2. (0,-2)

then you graph both and connect the points on the x and y axis.

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3 years ago
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raketka [301]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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denpristay [2]

Answer:

3

Step-by-step explanation:

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Brilliant_brown [7]

Answer:

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Step-by-step explanation:

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