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2 years ago

Which of the following expressions is equivalent to x · 65? *

Mathematics

2 answers:

vfiekz [6]2 years ago

7 0

Answer:

A. (x · 60) + (x · 5)

Step-by-step explanation:

kicyunya [14]2 years ago

4 0

Answer:

A. (x · 60) + (x ·5)

Step-by-step explanation:

Equation A is simplified to 65x, which is equivalent to x ·65.

Equation B is simplified to 11x.

Equation C is simplified to x + 30.

Equation D is simplified to 6x+5.

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Find (a) the number of subsets and (b) the number of proper subsets of the set.

vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

<u>Total No. of Subsets = 128</u>

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

<u>Total No. of Proper Subsets = 127 </u>

3 0

3 years ago

ILL GIVE BRAINLIEST!! PLS HELP!!! Ten students are taking both algebra and drafting. There are 24 students taking algebra. There

Minchanka [31]

Answer:

15 students

Step-by-step explanation:

from the algebra = 24 - 10 = 14

from the draft = 11 - 10 = 1

14 + 1 = 15

the total students that are taking algebra or drafting but not both is 15 students

4 0

3 years ago

Read 2 more answers

betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14

natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

$r = 3$ -- radius

$h = 7$ --- height

$Rate = 14in^3/min$

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

$V = \frac{1}{3} \pi r^2h$

This gives:

$V = \frac{1}{3} * 3.14 * 3^2 * 7$

$V = \frac{1}{3} * 197.82$

$V = 65.94in^3$

To calculate the time, we make use of the following rate formula.

$Rate = \frac{Volume}{Time}$

Make Time the subject

$Time= \frac{Volume}{Rate }$

This gives:

$Time= \frac{65.94in^3}{14in^3/min}$

$Time= \frac{65.94in^3}{14in^3}min$

Cancel out the units

$Time= \frac{65.94}{14} min$

$Time= 4.71 min\\$

3 0

2 years ago

The dimensions of a trapezoid are shown below. Which equation could you use to find the Area of the Trapezoid?

Contact [7]

Answer:

See Explanation

Step-by-step explanation:

No trapezoid is attached; so, I will solve on a general note

The area of a trapezoid is:

$Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height$

Using the attached image as a point of reference;

The parallel sides are: AD (6cm) and BD (12cm)

The height is 4cm

So, the area is:

$Area = \frac{1}{2} * (6cm + 12cm) * 4cm$

$Area = 18cm * 2cm$

$Area = 36cm^2$

7 0

3 years ago

The Cotton family purchases a glass sculpture in the shape of a rectangular pyramid. The base measures 7 1/2 inches by 5 inches.

maria [59]

Answer:

H = v / (L x W) / 3

H = 75 / (37.5) / 3

H = 75 / 12.5

H = 6 inches

6 0

3 years ago