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aivan3 [116]
2 years ago
13

Distribute $1000 into three parts so that one part will be three times as large as the second and the third part will be as larg

e as the sum of the other two.​
Mathematics
1 answer:
Over [174]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

x = part 1

3x = part 2

x + 3x  = part 3       summed, they equal 1000

x    +     3x      +   x + 3x = 1000

8x = 1000

<u>x = 125       3x = 385      third part = 500 </u>

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Find the value of x in the figure.
horsena [70]

Answer:

x = 35

Step-by-step explanation:

First count how many interior angles we have here.

There are 6 interior angles.

so we then can determine the interior sum of the angles here.

Inside angle sum = 180*(6 - 2)  degrees  = 180*4 = 720 degrees

so

(4x - 5)+(4x - 3) + 118 +(3x+6) + (3x-3) + 117 = 720 degrees

8x - 8 + 118 + 6x + 3 + 117 = 720 degrees

14x -8 + 118 + 120 = 720 degrees

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 35

7 0
3 years ago
The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is
victus00 [196]

Answer:

0.02275

Step-by-step explanation:

We use this z score formula to solve for this question

z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

From the above question,

x = 77

μ = 75

σ = 7

number of samples = 49

Hence, the z score = 77 - 75/ (7/√49)

= 2/(7/7)

= 2/1

= 2

Hence, the z score = 2

Using the z table to find probability

P(x<77) = 0.97725

P(x>77) = 1 - P(x<77)

= 1 - 0.97725

= 0.02275

Therefore, the probability that the same mean will be larger than 77 years

is 0.02275

7 0
2 years ago
Calculate the distance between (0,3) and (3,10) to 1 decimal place
Artemon [7]
Alright, so the distance formula is sqrt((x1-x2)^2+(y1-y2)^2), and plugging that in, we get sqrt((0-3)^2+(3-10)^2)=sqrt((-3)^2+(-7)^2)=sqrt(9+49)=sqrt(58)=around 7.6
5 0
3 years ago
Which equation represents the line with a slope of 5/6 that passes through the point (−2,1)?
soldi70 [24.7K]

Answer:

Slope m=

10-2

7-3

=

8

4

m = 2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Claudia added an equilateral triangle shape that is one inch high and one inch wide to a slide in her presentation. She clicked
mr_godi [17]

The effect of Claudia's changing the height of of the triangle from 1 inch

to 3 inches is the option;

  • The height of the triangle changed to three inches but the width remained 1 inch

<h3>Which option gives the effect of changing the height?</h3>

The given dimensions of the equilateral triangle Claudia added are;

Height of the triangle = 1 inch

Width of the triangle = 1 inch

The value Claudia typed in the Shape Height box = 3

Required:

What happened to the shape after she press Enter

Solution:

By entering 3 in the Shape Height box, changes the height of the

equilateral triangle to 3 inches but the width remains 1 inches

From a similar question posted online, the correct option is therefore;

  • The height of the triangle changed to three inches but the width remained 1 inch

Learn more about triangles here:

brainly.com/question/16430835

3 0
2 years ago
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