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vesna_86 [32]
3 years ago
7

Sonny has $75 to spend. The purchase he wants to make requires$93. If he borrows the extra money that he needs, how much does he

need to borrow?
Mathematics
1 answer:
lidiya [134]3 years ago
7 0
All you gotta do is subtract both of the numbers to get how much you need.

93 - 75 = 18

We can double check to see if it's right by using addition

18 + 75 = 93

Sonny needs to borrow 18$ to meet his required amount :D
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How many different committees can be formed from 6 teachers and 37 students if the committee consists of 4 teachers and 4 ​stude
Anna [14]

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675

The committee of 8 members can be selected in 990,675 different ways.

4 0
3 years ago
Find the values of x on the interval [−π, π] where the tangent line to the graph of y = sin(x) cos(x) is horizontal. (Enter your
Lady_Fox [76]
A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
6 0
3 years ago
Read 2 more answers
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
avanturin [10]
<h3><u><em>I</em></u><u><em>nitial considerations</em></u></h3>
  • <em>radius = 1.8 in</em>
  • <em>tall = 6.7 in</em>
  • <em>Volume?</em>

<h3><u><em>Resolution</em></u></h3>

<em>Volume = base area x tall</em>

<em>base area = π x (1.8in)²</em>

<em>base area = 10.179 in²</em>

<em>Volume = 10.179 in² x 6.7 in</em>

<em>Volume = 68.198 in³</em>

<h3 /><h3><em><u>Answer</u></em></h3>

<em>the volume is 68.198 in³</em>

5 0
3 years ago
Evaluate the expression 9 - z9−z9, minus, z when z = 4z=4z, equals, 4
Sophie [7]

Answer:

Step-by-step explanation:

Answer:

<h2>5</h2>

Step-by-step explanation:

Given the expression f(z) = 9-z

To get the value of the resulting value of the function when z = 4, all we need to do is substitute the value of z given into the function to have;

f(4) = 9-4

f(4) = 5

The right answer is 5

7 0
3 years ago
What is the slope of the line y = 8?<br> a.0<br> b.4<br> c.8<br> d.undefined
xxMikexx [17]
It is A , I'm pretty sure
5 0
3 years ago
Read 2 more answers
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