The mean age of 11 women in an office is 31 years old.
The mean age of 6 men in an office is 29 years old.
What is the mean age (nearest year) of all the people in the office?

Answer:

The answer is 72.9 !!!!

Step-by-step explanation:

Trust I'm taking the same test.

Ryan runs a total of 94.5 miles over the course of 18 days.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

We can approach this problem by using arithmetic progression.

The first term is 1.5 miles, and the common difference is 0.3 miles.

So,

The nth term is given by:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the number of days.

We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:

S18 = (n/2) (a1 + an)

where n is the number of terms and a1 and an are the first and last terms, respectively.

Substituting the values we have:

a1 = 1.5 miles

d = 0.3 miles

n = 18

an = 1.5 + (18-1)0.3 = 6 miles

S18 = (18/2)(1.5 + 6) = 94.5 miles

Therefore,

Ryan runs a total of 94.5 miles over the course of 18 days.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ3

Complete Question:

Write a formula for the given measure. Let P represent the perimeter in inches, and w

represent the width in inches. Identify which variable depends on which in the formula.

*The perimeter of a rectangle with a length of 5 inches

Answer:

P = 2(5 + w)

Or

P = 20 + 2w

P is the dependent variable

w is the independent variable

P depends on w.

Step-by-step explanation:

Given:

Perimeter of rectangle = P

Width of the rectangle = w

Length of the rectangle = l = 5 in.

Formula for perimeter of a rectangle = 2(length + width)

Plug in the values. Formula for the given measure would be:

P = 2(5 + w)

Or

P = 20 + 2w

P is the independent variable, while w is the dependent variable.

This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,

P depends on w.

Answer:

the angles have a sum of 180°

Answer:

s = 8t

Step-by-step explanation:

every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.

Answer:

Step-by-step explanation:

1/2

Answer and Step-by-step explanation:

To find the sum of all the angles that are labeled, simply just add those angles together.

191 + 56 + 35 = 282

#teamtrees #PAW (Plant And Water)

Answer:

282

Step-by-step explanation:

Answer:

$9.99 + $1.29x = $50

Step-by-step explanation:

something like this don't know if right though

Answer:

2/7

Step-by-step explanation:

Because there are a total of 7 keys and he has 2 for his car so 2/7.

:DDDDD

Answer:

RX is parallel to ST

Step-by-step explanation:

Answer:

Line RX and line ST are parallel to each other

Step-by-step explanation:

Answer:

RULES:

Half of your diameter is ALWAYS your radius.

15 divided by 2 = 7.5 cm

6.5 divided by 2 = 3.25 in.

3 divided by 2 = 1.5 ft

8 divided by 2 = 4 m

Answer:

Step-by-step explanation:

Answer:

An echo

Step-by-step explanation:

Answer:

88 inches cubed

Step-by-step explanation:

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

Answer:

3141.59 cm cubed

Step-by-step explanation:

The formula for volume of a cone is:

V=πr²h /3

When you plug in your numbers, you'll get your answer!

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Have a good day :)

Answer:

1000π cm³

Step-by-step explanation:

v = ⅓×π×10²×30

= 1000π cm³

or 3,140 cm³

Answer:

Minimum

Step-by-step explanation:

Put it on a graph! It will be shown easily ^^

Answer:

Minimum

Step-by-step explanation:

Minimum.

You can solve this problem by simply graphing it using a graphing calc or desmos or g.o.o.g.l.e

Here you see that you have a lowest point on graph made by equation thus it is a minmum. Another way of thinking would be that graph is going up infinetely whereas in down direction there's one point that is the smallest (minimum)

Answer:

the probability is 1/12

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

Answer:

The answer is A. because of the y intercept and the slope

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3x - 40 = 2x + 10 - G and j are both parallel angles, meaning they're equal to each other

3x - 40 = 2x + 10

-2x          -2x

------------------------

x - 40 = 10

  +40  +40

------------------------

x = 50

Answer:Don't really understand the first part of your question but I'll answer it the way I see it

Example of a cube would be, 2^3=8

And the cubed root fo 2 would be 1.260

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^3 would be like 3 times 3 times 3

64 cubed root would be a number that goes in to 64 3 times

i can’t really type it to show you sorry

comparing value

3x+2=-3x-2

6x=-4

x=-4/6Have solution.

y=-2x+10

y=-2x+10

both are equal So no solution.

3rd

y=-x+4

y=-x+4

both are equal So no solution

4th

3x+y=8

3x+y=9

both are equal So no solution

Answer:

n = 28.

Step-by-step explanation:

70 divided by 2.5 is 28

Answer:

The total distance traveled by the toy car is 14 m

Step-by-step explanation:

Given;

initial velocity of the car, u = 0

final velocity of the car, v = 4 m/s

time of motion, t₁ = 3 s

constant deceleration of the car, -a = 0.5 m/s²

time of motion, t₂ = 4 s

The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).

[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]

this is how i solved it hopefully its correct

Answer:

Quadrangle

A quadrilateral can sometimes be called: a Quadrangle ("four angles"), so it sounds like "triangle"

Please Mark Brainliest.

Step-by-step explanation:

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

Answer:

1.5 pounds. it's simply 3/8 times 4

Answer:

1.5 pounds of chocolate

Step-by-step explanation:

A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.

In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.

[tex]4\cdot \frac{3}{8}[/tex]

[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]

[tex]\frac{3}{2}=1.5[/tex]

We need 1.5 pounds of  chocolate to make 4 batches of ice cream.

Good luck ^^

Answer:

[tex]Y=\frac{c}{a}-\frac{b}{a}[/tex]

Step-by-step explanation:

Answer:

y=c+b/a (The a is under c+b)

Step-by-step explanation:

Add the b over to c.

ay=c+b

Now divide both sides by a, which will remove the a from y.

y=c+b/a