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lyudmila [28]
3 years ago
12

The hamster walked x feet. the guinea pig walked 1/4 more than that.

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

2x+\frac{1}{4}

Step-by-step explanation:

hamster=x

guinea pig = x+ 1/4

x+x=2x

then just add the 1/4

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Help me solve this problem please
Gnesinka [82]

Answer:

19w-11

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP! THiS IS DUE!!!!!!!! I Will MAKE BRAINlST
9966 [12]

Answer:

\mathrm{26.\qua\:H\quad\:2 \dfrac{ 1  }{ 4  }\qua\:mi}

\mathrm{27.\qua\:D\quad\: 9\dfrac{ 1  }{ 8  }\qua\:lb}

\mathrm{28.\qua\:H\quad\:14.6}

\mathrm{29.\qua\:C\quad\:25\%}

\mathrm{30.\qua\:J\quad\:33.912\qua\ ft^{3} }

Step-by-step explanation:

26.

\mathrm{\dfrac{ 3  }{ 4  }\:mile\:per\:one\:hour}

\mathrm{To\:find\:how\:far\:Jet's\:cousin\:can\:walk\:in\:3\:hours\:,\:we\:multiply\:\dfrac{ 3  }{ 4  }\:by\:3}

3 \times   \dfrac{ 3  }{ 4  }

\mathrm{Express\: 3 \times   \left(  \dfrac{ 3  }{ 4  }    \right)\:as\:a\:singe\:fraction}

\dfrac{ 3 \times  3  }{ 4  }

\mathrm{Multiply\:3\:and\:3\:to\:get\:9}

\dfrac{ 9  }{ 4  }

\mathrm{Convert\:\dfrac{ 9  }{ 4  }\:to\:a\:mixed\:number}

2 \dfrac{ 1  }{ 4  }

\mathrm{So\:she\:can\:walk\:2 \dfrac{ 1  }{ 4  }\:miles\:in\:3\:hours}

27.

\mathrm{Since\:we\:want\:to\:find\:how\:many\:pounds\:both\:pumpkins\:weigh\:together,\:we\:have\:to\:add.}

5 \dfrac{ 3  }{ 4  }  +3 \dfrac{ 3  }{ 8  }

\mathrm{Turn\:both\:mixed\:fractions\:into\:improper\:fractions}

\dfrac{ 23  }{ 4  }  + \dfrac{ 27  }{ 8  }

\mathrm{Least\:common\:multiple\:of\:4\:and\:8\:is\:8}

\mathrm{Multiples\:of\:4}:\quad4,8,12,16,20

\mathrm{Multiples\:of\:8}:\quad8,16,24,32,40

\dfrac{ 23  }{ 4  }  + \dfrac{ 27  }{ 8  }

\mathrm{Convert\:  \dfrac{ 23  }{ 4  }   \:and\:  \dfrac{ 27  }{ 8  }   \:to\:fractions\:with\:denominator\:8}

\dfrac{ 23 \times  2  }{ 4 \times  2  }  + \dfrac{ 27  }{ 8  }

\mathrm{Simplify}

\dfrac{ 46  }{ 8  }  + \dfrac{ 27  }{ 8  }

\mathrm{Since\:  \dfrac{ 46  }{ 8  }\:and\:\dfrac{ 27  }{ 8  }\:have\:the\:same\:denominators,\:add\:them\:by\:adding\:their\:numerators}

\dfrac{ 46+27  }{ 8  }

\mathrm{Add\:46\:and\:27\:to\:get\:73}

\dfrac{ 73  }{ 8  }

\mathrm{Convert\:\dfrac{ 73  }{ 8  }\:to\:a\:mixed\:number}

9 \dfrac{ 1  }{ 8  }

\mathrm{Both\:pumpkins\:weighed\:9 \dfrac{ 1  }{ 8  }\:pounds\:all\:together}

28.

Since the question is asking us "How many more miles did Alyce travel than Jason", we have to subtract the miles Jason traveled from the miles Alyce traveled.

29.193-14.593

\mathrm{Subtract\:14.593\:from\:29.193\:to\:get\:14.6}

14.6

\mathrm{Alyce\:traveled\:14.6\:more\:miles\:than\:Jason}

29.

For this question, we must find "10 is what percent of 40"

The equation for this is:

\dfrac{ 10  }{ 40  }   \times  100

\mathrm{Simplify\:  \dfrac{ 10  }{ 40  }   \:to\:  \dfrac{ 1  }{ 4  }   }

\dfrac{ 1  }{ 4  }   \times  100

\mathrm{Multiply\:  \dfrac{ 1  }{ 4  }\:and\:100\:to\:get\:  \dfrac{ 100  }{ 4  }   }

\dfrac{ 100  }{ 4  }

\mathrm{Divide\:100\:by\:4\:to\:get\:25}

25

\mathrm{So\:she\:recieved\:a\:25\%\:off\:discount}

To check if this is correct, you can do the following below:

What is 25 percent (%) off $40?

Use the formula and replace the given values:

Amount Saved = Original Price x Discount % / 100. So,

Amount Saved = 40 x 25 / 100

Amount Saved = 1000 / 100

Amount Saved = $10

In other words, a 25% discount for an item with original price of $40 is equal to $10

 

30.

Given that the calculated volume of the drum is 37.68 ft³ and it is 90% full, it implies that the current volume is calculated as:

\mathrm{Current\:compacity} =  90 \%   \times  37.68

\mathrm{Turn\:90\%\:into\:a\:decimal}

\mathrm{Current\:compacity} =  0.9   \times  37.68

\mathrm{Multiply\:0.9\:and\:37.68\:to\:get\:33.912}

33.912

\mathrm{The\:current\:compacity\:of\:the\:drum\:is\:33.912\:ft^{3} }

8 0
2 years ago
Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
2 years ago
Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
NISA [10]

Answer:

f(x) = 4x² - 40x + 84

Step-by-step explanation:

4(x - 7)(x - 3) = 0

4(x² - 3x - 7x + 21) = 0

4(x² - 10x + 21) = 0

4x² - 40x + 84 = 0

3 0
2 years ago
Look at the picture<br>​
butalik [34]

The interval where the function is increasing is (3, ∞)

<h3>Interval of a function</h3>

Given the rational function shown below

g(x) = ∛x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

Learn more on increasing function here: brainly.com/question/1503051

#SPJ1

8 0
1 year ago
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