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prohojiy [21]
2 years ago
14

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.

Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.. . 638.54 + 159.50 − x ≥ 500; x ≥ $298.04. . 638.54 + 159.50 − x ≥ 500; x ≥ $298.04. . 638.54 − 159.50 + x ≥ 500; x ≥ $20.96. . 638.54 − 159.50 + x ≤ 500; x ≤ $20.96
Mathematics
2 answers:
Vladimir79 [104]2 years ago
7 0
The answer would be <span>638.54 − 159.50 + x ≥ 500; x ≥ $20.96. With the current balanced at $638.54 and a pending withdrawal of $159.50, Malcolm must deposit at least $20.96 to keep the maintaining balance of $500 to avoid a fee.</span>
e-lub [12.9K]2 years ago
5 0
Your answer is c, 638.54 − 159.50 + x ≥ 500; x ≥ $20.96
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Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how
Vinil7 [7]

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

7 0
2 years ago
What is the value of x in the equation 25x2 = 16?
valentina_108 [34]
<span>25x2 = 16
x^2 = 16/25
</span>x^2 = 4^2/5^2
<span>x = 4/5

</span>
7 0
2 years ago
Read 2 more answers
The coach of a local basketball team says that her team scored 32 points in the first game and 64 points in the second game. Wha
disa [49]

To find the percentage of a number out of another number you just divide.

64 is 200% of 32 because 64/32 is 2.

8 0
2 years ago
Read 2 more answers
What is the y-intercept of the polynomial f(x)f(x) f(x) defined below? Write the y-value only. f(x)=−4x2+x5+10x3+5x+8x4f(x)=-4x^
zhannawk [14.2K]

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴

Required

Determine the y intercept

The y intercept of a function is a point where x = 0

So, we have to substitute 0 for x in the above function

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes

f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴

f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0

f(0) = 0 + 0 + 0 + 0 + 0

f(0) = 0

Substitute y for f(0)

y = 0

Hence, the y intercept is 0

4 0
2 years ago
After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height
andrey2020 [161]

Answer:

Part 1)  Descending Rate = -2,000 ft/min

Part 2)  Starting altitude value is 33,000 ft

Part 3)  The linear equation for the plane's altitude (y) as a function of time (x) is:  y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft

Part 4)  The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent

Step-by-step explanation:

Part 1)

The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):

Descending\,\,Rate\,= \frac{17000-33000}{8} \,\,\frac{ft}{min}=\frac{-16000}{8} \,\,\frac{ft}{min}=-\,2000\,\,\frac{ft}{min}

Part 2)

When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft

Part 3)

We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b

by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:

y=m\,x\,+\,b\\y=-2000\,\frac{ft}{min} \,x\,+\,b\\33000=-2000\,\frac{ft}{min} \,(0)\,+\,b\\33000=b

with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:

y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft

Part 4)

The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.

5 0
2 years ago
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