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maks197457 [2]
2 years ago
10

Wanda spent 4 1/8 hours studying last night. She spent 1/3 of the time studying math. How much time did she spend studying math?

Mathematics
1 answer:
julia-pushkina [17]2 years ago
4 0

Answer:

1\frac{3}{8} hours, or 1 hour and 22.5 minutes

Step-by-step explanation:

Wanda spends a third of her 4\frac{1}{8} hours studying math. Let us multiply these two fractions to find how much time she spent. Our first step would be to convert the mixed number into an improper fraction, as mixed numbers are hard to manipulate with:

4\frac{1}{8} =\\\frac{33}{8}

Now let us multiply:

\frac{1}{3} *\frac{33}{8} =\\\frac{11}{8}

If we wish, we can convert this into a mixed number:

\frac{11}{8}= \\1\frac{3}{8}

or, 1 hour and 22.5 minutes.

<u>Therefore, Wanda spent </u>1\frac{3}{8}<u> hours, or 1 hour and 22.5 minutes studying math.</u>

<u />

<em>I hope this helps! Let me know if you have any questions :)</em>

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Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
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Answer: A.)

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A is correct purple line to 7 and red line to -1

Hope this helps

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10 months ago
Find the volume of the solid under the surface z = 5x + 9y 2 and above the region bounded by x = y 2 and x = y 3.
Yanka [14]
Call the region in the x-y plane, bounded by x=y^2 and x=y^3, \mathcal D. Then the volume under the given surface is

\displaystyle\iint_{\mathcal D}(5x+9y)\,\mathrm dA=\int_{y=0}^{y=1}\int_{x=y^3}^{x=y^2}(5x+9y)\,\mathrm dx\,\mathrm dy=\frac{83}{140}
8 0
3 years ago
Which two statements are missing in steps 3 and 4?
Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. AB=6 units

YZ=3 units

BC=8 units

XY=4 units, then

\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2

2. \angle B and \angle Y are right angles - given

3.  \angle B\cong \angle Y two right angles are always congruent.

4. \triangle ABC\sim \triangle ZYX by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

4 0
2 years ago
Read 2 more answers
What is the measure of ∠x?
Archy [21]

Answer:

114 degrees

Step-by-step explanation:

Hi there.

Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).

We know that if this is a straight angle, that x+66=180.

Therefore, m∠x = 114 degrees.

Hope this helps! :^)

5 0
2 years ago
Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

brainly.com/question/25710806

#SPJ1

5 0
1 year ago
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