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Shtirlitz [24]
3 years ago
6

2/3 divided by 4/5? step by step requested

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

5/6

Step-by-step explanation:

When dividing fractions, multiply by the reciprocal:

2/3 ÷ 4/5

2/3 x 5/4

Multiply the numerators and denominators by each other:

= 10/12

Simplify by dividing the numerator and denominator by 2:

= 5/6

The answer is 5/6

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Jack stands 9 feet from the primate
liq [111]

Answer:

16.2 ft

Step-by-step explanation:

3 0
3 years ago
Write an expression to represent the following:
nevsk [136]

9u+5

9u represents 9 multiplied by a number.

+5 means 5 more than this product.

Hope this helps.

4 0
3 years ago
Find the fifth term in the sequence<br>that is defined as follows:<br>an = 2n​
Rainbow [258]

Answer:

a_{5}=10

Step-by-step explanation:

If you want to find the 5th term of a sequence or any term you have to substitute n for the desired term in your case the result is the following

a_{n}=2n\\a_{5}=2(5)\\a_{5}=10

7 0
3 years ago
Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after
evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

 10 weeks, $10  

10 weeks, $310  

9 weeks, $310  

310 weeks, $10

Answer:

10 weeks, $310  

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money

x= the amount of time in weeks

You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:

25x+60=30x+10

60-10=30x-25x

50=5x

x=50/5= 10

After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:

-y=25(10)+60=310

-y=30(10)+10= 310

According to this, the answer is 10 weeks, $310.

6 0
4 years ago
Two sides and an angle​ (ssa) of a triangle are given. determine whether the given measurements produce one​ triangle, two​ tria
Setler [38]
These are a huge pain.  First set up your initial triangle with A and B as your base angles and C as your vertex angle.  Now drop an altitude and call it h.  You need to solve for h.  Use sin 56 = h/13 to get that h = 10.8.  The rule is that if the side length of a is greater than the height but less than the side length of b, you have 2 triangles.  h<a<b --> 10.8<12<13.  Those are true statements so we have 2 triangles.  Side a is the side that swings, this is the one we "move", forming the second triangle.  First we have to solve the first triangle using the Law of Sines, then we can solve the second.  \frac{sin56}{12} = \frac{sinB}{13} to get that angle B is 64 degrees.  Now find C: 180-56-64=60.  And now for side c: \frac{sin56}{12} = \frac{sin60}{c} and c=12.5.  That's your first triangle.  In the second triangle, side a is the swinging side and that length doesn't change.  Neither does the angle measure.  Angle B has a supplement of 180-64 which is 116.  So the new angle B in the second triangle is 116, but the length of b doesn't change, either.  I'll show you how you know you're right about that in just a sec.  The only angle AND side that both change are C and c.  If our new triangle has angles 56 and 116, then C has to be 8 degrees. Using the Law of Sines again, we can solve for c:\frac{sin8}{c} = \frac{sin56}{12} and c = 2.0.  We can look at this new triangle and determine the side measures are correct because the longest side will always be across from the largest angle, and the shortest side will always be across from the smallest angle.  The new angle B is 116, which is across from the longest side of 13.  These are hard.  Ugh.

8 0
3 years ago
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