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konstantin123 [22]
3 years ago
5

Steve and Michele and celebrating their 30th anniversary by having a reception at the local reception hall. they have a budget o

f 3,500, the reception hall charges a 50 dollar clean up fee plus 31 dollars per person. find the greatest number of people they can invite and stay within their budget
Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450

$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29

111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491

They can invite 111 people and will have $9 to spare
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Is 9.3 greater then or less then 9.29
madreJ [45]
9.3 is greater then 9.29
5 0
3 years ago
Most adults would not erase all of their personal information online if they could. A software firm survey of 480 randomly selec
Westkost [7]

Answer:

-7.90

Step-by-step explanation:

Let's write the null hypothesis (H0) and alternative hypothesis (Ha) from the claim statement

P = population proportion of adults who would erase all of their personal information online if they could

H_{0}:P=0.5

H1 P< 0.5

Let's write the given information:

n = sample size = 480

sample proportion = \hat p = 0.35

formula of z test statistic for one sample proportion test is as follows:

Z=\frac{\hat p-P}{\sqrt{\frac{P\times(1-P)}{n}}}

plug the above values in the above formula we get

Z =\frac{0.35-0.5}{\sqrt{\frac{0.35(1-0.5)}{480}}}=Z=-7.85584

So that the test statistic value is -7.90 (Rounded up to two decimal places)

3 0
3 years ago
#5 Antonio and Abby had the same nimber of paperclips. After Antonio gave 30 paperclips to Abby, Abby had twice as many papercli
Kay [80]

Answer:

#5: 180 paperclips in total.

#6: 126 stamps in total.

#7: Elena should give Lucy 15 colored pencils.

Step-by-step explanation:

This explanation solves each question by setting a single unknown, x.

<h3>#5</h3>

Let x the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.

Initially:

  • Antonio: x paperclips;
  • Abby: x paperclips.

Antonio gives 30 paperclips to Abby. After that,

  • Antonio: (x - 30) paperclips;
  • Abby: x + 30 paperclips.

Abby now possess twice as many paperclips as Antonio does. In other words,

2(x - 30) = x + 30.

By the distributive property:

2x - 60 = x + 30.

Substract x - 60 from both sides

x = 30 - (-60) = 90.

Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.

<h3>#6</h3>

Similarly, let x be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.

Initially:

  • Emily: x stamps;
  • Jasmine: x stamps.

After Emily gives 42 stamps to Jasmine:

  • Emily: x-42 stamps;
  • Jasmine: x+42 stamps.

Jasmine now possesses twice as many stamps as Emily does. In other words,

2(x-42) = x+42.

x = 42 + 2\times 42 = 126.

Jasmine used to possess 126 stamps. Now she possesses 126 + 42 = 168 stamps after receiving 42 stamps from Emily.

<h3>#7</h3>

Let the number of pencils that Elena needs to give to Lucy be x.

Initially:

  • Elena: 60 pencils;
  • Lucy: 26 pencils.

After Elena gives x pencils to Lucy:

  • Elena: 60 - x pencils;
  • Lucy: 26 + x pencils.

Elena should now possess four more pencils than Lucy does. In other words,

\underbrace{60 - x}_{\text{Elena's}} = \underbrace{(26 + x)}_{\text{Lucy's}} +4.

2x = 30.

x = 15.

8 0
3 years ago
If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?
strojnjashka [21]

Answer:

  segment EF over segment LM equals segment FG over segment MN

Step-by-step explanation:

The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.

The sequence of letters in the triangle name tells you the corresponding segments:

  • EF corresponds to LM
  • EG corresponds to LN
  • FG corresponds to MN

Corresponding segments have the same ratio, so ...

  EF/LM = FG/MN . . . . . . matches the first answer choice

  EF/LM = EG/LN . . . . does not match the 3rd answer choice

7 0
3 years ago
A. What is the vertex of the equation y = (x - 4)??
Contact [7]

Good morning,

Answer:

(4 , 0)

Step-by-step explanation:

THe vertex of y = (x - 4)² is (4,0).

Look at the photo below for the graph.

:)

8 0
3 years ago
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