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mylen [45]
3 years ago
5

students must In order for a class trip to be scheduled, at least sign up. So far, 23 students have signed up. Write and solve a

n inequality to find the least number of students that must sign up in order for the class trip to be scheduled. 30

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
I have added a screenshot with the complete question.

Answer:
At least 7 more students need to sign up for the field trip to be scheduled

Explanation:
Assume that the least number of students remaining to register for the trip to be scheduled is x.

total number of students = students who already registered + x

We are given that, the least number of students required for this trip is 30. This means that:
total number of students ≥ 30
Now, we know that 23 students already registered. 

The inequality now is:
x + 23 ≥ 30
x ≥ 30 - 23
x ≥ 7

This means that at least 7 more students must register for the trip to be scheduled.

Hope this helps :)

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Part of arianna’s earnings are based on a 5% commission rate. At the end of the day arianna earned 14.98 in commission. How much
Katarina [22]

Arianna sold for $ 299.6

<em><u>Solution:</u></em>

Given that, Part of Arianna’s earnings are based on a 5% commission rate

At the end of the day arianna earned 14.98 in commission

Therefore,

Commission earned = $ 14.98

Commission rate = 5 %

Let "x" be the amount that Arianna sell that day

Therefore, according to question,

5 % of amount earned = 14.98

5 % of "x" = 14.98

<em><u>Solve the above equation for "x"</u></em>

5 \% \times x = 14.98\\\\\frac{5}{100} \times x = 14.98\\\\5x = 14.98 \times 100\\\\5x = 1498\\\\Divide\ both\ sides\ of\ equation\ by\ 5\\\\x = 299.6

Thus arianna sold for $ 299.6

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3 years ago
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7 0
3 years ago
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4. Solve the equation using the quadratic formula.
Vikentia [17]

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

<u>Use the </u><u>quadratic</u><u> formula</u>

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}

Once in standard form, <u>identify</u> a, b, and c from the <u>original</u> equation and plug them into the <u>quadratic formula</u>.

4x² + 3x - 10 = 0

a = 4

b = 3

c = - 10

x = \frac{-3+\sqrt{3^{2}-4x4(-10) } }{2x4}

<u>Simplify</u>

<u>Evaluate the exponent</u>

x = \frac{-3+\sqrt{9-4x4(-10)} }{2x4}

<u>Multiply</u> the numbers

x = \frac{-3+\sqrt{9+160} }{2x4}

Add the <u>numbers</u>

x = \frac{-3+\sqrt{169} }{2x4}

Evaluate the <u>square root</u>

x = \frac{-3+13}{2x4}

<u>Multiply</u> the numbers

x = \frac{-3+13}{8}

<u>Separate</u><u> the equations</u>

To solve for the <u>unknown variable</u>, separate into two equations: one with a plus and the other with a minus.

x = \frac{-3+13}{8}

x = \frac{-3-13}{8}

<u>Solve</u>

Rearrange and isolate the <u>variable</u> to find each <u>solution</u>

x = - 2

x = 1.25

6 0
3 years ago
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Serga [27]

Answer:

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Step-by-step explanation:

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Answer:

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