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oee [108]
2 years ago
8

Christian owns a small business selling bagels. He knows that in the last week 10 customers paid cash, 14 customers used a debit

card, and 38 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Mathematics
1 answer:
zavuch27 [327]2 years ago
3 0
Answer: 61.29%

Explanation:
10 cash + 14 debit + 38 credit = 62 overall
38/62 = 61.29%
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ohaa [14]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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-4(x - 2) - 3x = 2(5x - 7) + 6
Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

c(a-b)=ca-cb

Then, applying this, you get:

-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6

Combine like terms means that you need to add the like terms.

Therefore, you get:

-7x+8=10x-8

You can observe that the expression obtained matches with the expression provided in the last option.

3 0
3 years ago
a college freshman started the year with $4000 in spending money and after three months,she has $2800 left.assume that she will
gulaghasi [49]
Let's find out how much she spent every month.

4000 (starting money) - 2800 (remaining money) = 1200 spent over 3 months

1200/3 = 400 per month was spent

So if she continues to spend 400 a month?

How many months are left? 12 (months of the year) - 3 (months she already spent) = 9

So 9 (remaining months) * 400 (amt per month) = 3600 she'll spend at the going rate over 9 months.

But she only has 2800 left.

2800 (remaining) - 3600 (estimated total of spending) = -800

So she will be 800$ in debt at the end of the year at the current rate.
3 0
3 years ago
ABC is isosceles.<br>m &lt; a = 3x + 40 and m &lt; c = x + 50<br>what is m &lt; a ??​
il63 [147K]

Answer:

  • 55°

Step-by-step explanation:

<u>It is assumed the angles A and C are congruent:</u>

  • 3x + 40 = x + 50
  • 3x - x = 50 - 40
  • 2x = 10
  • x = 5

m∠A = 3*5 + 40 = 55°

7 0
3 years ago
Read 2 more answers
A,B and C are the vertices of one triangle.
dsp73

Answer:


Step-by-step explanation:

Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.

To prove: DE is parallel to BC.

Construction: Join DE.

Proof: If we prove the basic proportionality theorem that is \frac{AD}{DB}=\frac{AE}{EC}, then it proves that DE is parallel to BC.

Now, Mid Point D has coordinates=(\frac{4+2}{2},\frac{6-2}{2})=(3,2) and Mid Point E has coordinates=(\frac{4-2}{2},\frac{6-4}{2})=(1,1)

Now, AD= \sqrt{(4-3)^{2}+(6-2)^{2}}=\sqrt{17}

DB=\sqrt{(3-2)^{2}+(2+2)^{2}}=\sqrt{17}

AE=\sqrt{(4-1)^{2}+(6-1)^{2}}=\sqrt{34}

EC=\sqrt{(1+2)^{2}+(1+4)^{2}}=\sqrt{34}

Now, \frac{AD}{DB}=\frac{AE}{EC}

=\frac{\sqrt{17}}{\sqrt{17}}=\frac{\sqrt{34}}{\sqrt{34}}=\frac{1}{1}

Hence, \frac{AD}{DB}=\frac{AE}{EC}

Thus, By basic proportionality theorem, DE is parallel to BC.

4 0
3 years ago
Read 2 more answers
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