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aliya0001 [1]
3 years ago
11

Can someone please help me ive been stuck in these questions for ages

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

x = 2 (For First question)

Step-by-step explanation:

8^ 1/6 * 2^x = 32^1/2

8^1/6 * 2^x 8^1/6 = 32^1/2/8^1/6

2^x = 32^1/2 / 8^1/6

2^x = 4

2^x = 2^2

x =2

Question 2:

Answer: 50

Step-by-step explanation:

8^1/3/5^-2

= 2/5^-2

= 2/1/5^2

= 2*  5^2/1

= 2 * 5^2

= 2 * 25

= 50

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In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
Use the tape diagram to answer the following question: 8 is 40% of what number?
Blababa [14]
20 I apologize if this is wrong
3 0
3 years ago
What are the characteristics of pie chart?
anygoal [31]

In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional to the quantity it represents.

The characteristics of pie chart.

<h3>What do you mean by chart?</h3>

A chart is a graphical representation for data visualization, in which "the data is represented by symbols, such as bars in a bar chart, lines in a line chart, or slices in a pie chart". A chart can represent tabular numeric data, functions or some kinds of quality structure and provides different info.

Given that:

A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional to the quantity it represents.

The pieces of the graph are proportional to the fraction of the whole in each category.

Each slice of the pie is relative to the size of that category in the group as a whole.

Learn more about chart here:

brainly.com/question/28186947

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3 0
2 years ago
What is the greatest common factor (GCF) of 10 and 40? 10 40​
stealth61 [152]

Answer:The answer is 10!

Step-by-step explanation:

3 0
3 years ago
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Tia is planning a sailing party for her friends. The boat rental is $150 plus an
mars1129 [50]

Answer:

16 people

Step-by-step explanation:

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Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:

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Since you can't have 0.67 of a person she can have 16 people go with her.

This can also be modeled by this inequality:

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4 0
3 years ago
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