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3 years ago

What is twice a number divided by 6 is 42

Mathematics

2 answers:

EastWind [94]3 years ago

8 0

2x divided by 6 = 42

42 x 6 = 252

2x = 252

x = 126

ELEN [110]3 years ago

6 0

Answer: twice a number: 2x

divided by 6: 2x/6

is 42: = 42

2x/6 = 42

Step-by-step explanation:

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Two supplementary angles measure (7x + 11) and (14x + 1)º. What is

ArbitrLikvidat [17]

Answer:

67 degrees (Answer 2)

Step-by-step explanation:

These two angles must sum up to 180 degreess because they are supplementary. Then:

7x + 11 + 14x + 1 = 180, or

21x + 12 = 180, or

21x = 168

Solving for x, we divide both sides by 21. This results in x = 8.

The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).

3 0

3 years ago

michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ

bazaltina [42]

Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric Total Cost

2.2 $2.53

3.6 $4.14

4.2 $4.83

What was the price per yard of fabric?

To find the cost per yard of fabric, we will divide cost of yards by number of yards.

$\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}$

$\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Let us find cost per yard using 2nd set of data.

$\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Similarly we will find cost per yard for 3rd set of data.

$\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Therefore, the cost per yard of fabric is $1.15.

4 0

3 years ago

What is 48 as a product of its prime factors

Romashka [77]

Write 24 as a product of its prime factors. Now think of the smallest prime number that divides into 12. Again we can use 2, and write the 12 as 2 x 6, to give. 2, 2, 2 and 3 are all prime numbers

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4 years ago

A probability experiment is conducted in which the sample space of the experiment is S 1,2,3,4, 5,6,7,8, 9, 10, 11, 12]. Let eve

Alenkinab [10]

Answer:

$E\ n\ F = \{1, 5, 6,7\}$

$F\ n\ G =\{9\}$

$F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}$

$P(F\ U\ G) = \frac{3}{4}$

Step-by-step explanation:

Given

$S = \{1,2,3,4, 5,6,7,8, 9, 10, 11, 12\}$

$E = \{1,2, 3, 4, 5, 6,7\}$

$F =\{1,5,6, 7, 8,9\}$

$G = \{9,10, 11, 12\}$

$H = \{2, 3, 4\}$

Solving (5): E and F

Sets of E and F = E n F

$E\ n\ F = \{1,2, 3, 4, 5, 6,7\}\ n\ \{1,5,6, 7, 8,9\}$

List out common elements

$E\ n\ F = \{1, 5, 6,7\}$

They are not mutually exclusive because $n(E\ n\ F) \neq 0$

Solving (6): F and G

Sets of F and G = F n G

$F\ n\ G =\{1,5,6, 7, 8,9\}\ n\ \{9,10, 11, 12\}$

List out common elements

$F\ n\ G =\{9\}$

They are not mutually exclusive because $n(F\ n\ G) \neq 0$

Solving (7): F or G and P(F or G)

Sets of F or G = F U G

$F\ U\ G =\{1,5,6, 7, 8,9\}\ U\ \{9,10, 11, 12\}$

List all elements without repetition

$F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}$

Solving P(F U G)

$P(F\ U\ G) = \frac{n(F\ U\ G)}{n(S)}$

$n(F\ U\ G) = 9$

$n(S) = 12$

Hence;

$P(F\ U\ G) = \frac{9}{12}$

Divide by 3

$P(F\ U\ G) = \frac{3}{4}$

6 0

3 years ago

A rectangle prism has a height of 4 millimeters and width 5 millimeters. The total surface area is 166 square millimeters, what

Zolol [24]

The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166

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4 years ago