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Aleks04 [339]
2 years ago
8

I don't know how to solve this 2/4 + 3/8=?​

Mathematics
2 answers:
algol [13]2 years ago
6 0

Answer:

7/8

Step-by-step explanation:

look it up

your wel3

stellarik [79]2 years ago
5 0

Answer: \frac{7}{8} or 0.875 in decimal form.

Step-by-step explanation:

Okay, so to solve this, the easiest method is to find a common denominator. While we could try using trial and error or if you know your tables really well, I don't so we will just multiply the denominators which is 8 and 4. We then multiply 8 and 4 which is 32.

To convert the fractions we have, we multiply both the numerator and denominator of each, by the multiple that multiplies the denominator to 32.

\frac{2}{4} multiply both 4 and 2 by 8. Now we have \frac{16}{32}.

Same thing with the second number. We have \frac{3}{8}. We multiply both the numerator and the denominator by 4. 3*4 is 12, 8*4 is 32.

Now we have \frac{12}{32}.

Now that both fractions have common denominators, we can add the numerators. \frac{16}{32} +\frac{12}{32} = \frac{28}{32}

Now we have the answer, \frac{28}{32}, but is that it?

No. Now to find the final two answers, we simply \frac{28}{32}.

To simplify, we find the Greatest Common Factor of 28 and 32, which in this case happens to be 4. This is the highest number that either of those can be divided by to provide a normal whole number

After solving \frac{28/4}{32/4} =\frac{7}{8}

That is our final answer. \frac{7}{8}.

If necessary, you can convert it to decimal form through simple division and end up with 0.875.

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Suppose that josh starts a new job on which he is paid $1 the first day, $2 the second day, and so on, with his earning doubling
Natali [406]

Answer:

500

-by-step explanation:

1000/2

8 0
2 years ago
what is the volume of a rectangular prism that has a length of 8.5 centimeters (cm), a width of 3.2 centimeters, and a height of
Yuki888 [10]

Answer:

The volume of the rectangular prism is 163.2cm^3

Step-by-step explanation:

A rectangular prism is in the shape of cuboid which has three dimensions i.e Length, width and height.

Given: Length =8.5 cm width= 3.2 cm  and Height= 6 cm

The volume of a Cuboid = Length*Width*Height

Applying the given dimensions in the formula:

   

          The volume of a Cuboid=  8.5cm*3.2cm*6cm

                                               =  163.2cm^3

The volume of the rectangular prism is 163.2cm^3

3 0
3 years ago
What is the inverse of 4 square
Scrat [10]

a^{-1}=\dfrac{1}{a}-\text{the inverse of a}\\\\\text{the inverse of}\ 4^2:\\\\\left(4^2\right)^{-1}=4^{-2}=\dfrac{1}{4^2}=\dfrac{1}{16}

5 0
3 years ago
Solve the system of equations. \begin{aligned} & -10x+3y = 5 \\\\ & x=y-4 \end{aligned} ​ −10x+3y=5 x=y−4 ​
Ksenya-84 [330]

Answer:

x = 1

y = 5

Step-by-step explanation:

You can use either substitution or elimination for this problem. I will use substitution.

Step 1: Replace x in the 1st equation

-10(y-4) + 3y = 5

-10y + 40 + 3y = 5

-7y = -35

y = 5

Step 2: Plug <em>y </em>into an original equation to find <em>x</em>

x = 5 - 4

x = 1

And you have your final answers!

7 0
3 years ago
A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

M = z\frac{\sigma}{\sqrt{n}}

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

n = 48.73

Rounding up

49 measurements are needed.

7 0
3 years ago
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