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Nataliya [291]
2 years ago
6

What value of x satisfies this equation? log2 (6x – 8) – log, 2^8=1 The value of x is?

Mathematics
1 answer:
Maslowich2 years ago
3 0

Answer:

x=4

Step-by-step explanation:

log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4

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What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?
enot [183]

Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box 2\frac{1}{2} inches

                           =\frac{5}{2} inches  

Length of the box 1\frac{3}{4}inches

                           =\frac{7}{4} inches

Height of the box 3\frac{1}{4} inches

                            = \frac{13}{4} inches

The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

So,

volume of the box is  ( \frac{5}{2}  × \frac{7}{4} × \frac{13}{4} )

                                    = ( \frac{455}{32} )

                                    = 14.21 inches cube

 The volume of the box is 41.21 inches cube.

8 0
3 years ago
Priya completed 9 exam questions. This is 60% of the questions on the exam.
Naily [24]
A and B.

60/100 • p = 9 will give you 60 % of the test questions

0.6p = 9 will also give you 60% of the test questions

60 - p = 9 will take away 60 questions from the test making it wrong

60+p = 9 will add 60 questions to the test making it wrong

9+p = 60 will add 9 questions to the test making it wrong
8 0
3 years ago
Jahmal has p pairs of shoes. Kyle has one less than five times as many pairs of shoes as Jahmal. What expression represents the
rewona [7]

Problem 1

Jahmal has p pairs of shoes.: p

Kyle has one less than five times as many pairs of shoes as Jahmal.: 5p - 1

Total: p + 5p - 1 = 6p - 1

Answer: 6p - 1

Problem 2

The problem gives the original price as g. there is no s mentioned in the problem, so I don't see how you can express the higher price in terms of s. Of course, it could be that the original price is s, not g, so then just replace g with s in my answer.

The new price is g plus 15% of g.

g + 15% of g =

= g + 0.15g

= 1.15g

Answer: 1.15g

Problem 3

One package of markers costs m. 7 packages of markers cost 7m. Now you need to add 9% of 7m to 7m. If you consider 7m to be 100%, if you add 9% to 100%, you get 109%, so you need to express 109% of 7m. To find a percent of a number, multiply the percent by the number. To find 109% of 7m, multiply 109% by 7m.

109% * 7m = 1.09 * 7m = 7.63m

Answer: 7.63m

Problem 4

She earns $2.15 per hour and works 10 hours.

$2.15/hour * 10 hours = $21.50

From her salary, she earns $21.50 for the 10-hour shift.

Her customer receipts totaled r, and she earns 20% of r in addition to her salary. 20% of r = 0.2r. She earns $21.50 + 0.2r

Answer: $21.50 + 0.2r

3 0
2 years ago
What is 8:4<br><br>I'm a first grader and I need help pleasee​
oksian1 [2.3K]

Answer:

2:1

Step-by-step explanation:

hope this helps you!!

5 0
2 years ago
Read 2 more answers
Find the mean of the data set:<br> 10, 10, 15, 20, 15
Dmitrij [34]
58
Sorry if I got that wrong
4 0
3 years ago
Read 2 more answers
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