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Leno4ka [110]
3 years ago
15

Write a fraction that is equivalent to 7/10 = _ /_

Mathematics
1 answer:
labwork [276]3 years ago
6 0
A fraction that is equivalent to \frac{a}{b} will have the form \frac{a\times A}{b\times B}, where A and B are equivalent and factors that are multiplied in.
The product fraction should be easily simplified using A and B to get the original fraction.

<em>In the case of your fraction </em>\frac{7}{10} you will need to find a fraction which is a product of this: \frac{7\timesA}{10\timesB},A=B
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It would be housing. Hope it helps!
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2 years ago
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What is 7/10 times 3
JulsSmile [24]
The answer I came up with was 2.1
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3 years ago
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Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and
Nutka1998 [239]
We can start by writing all that we know about the problem. Let us write down how many scones each boy has:
R_{o} : x
C_{a} : x+k
L_{o} : x+2k
T_{o} : x+3k
C_{h} : x+4k
Note that k is the increase, we know it's a constant. This is not a system of equations, please keep that in mind. We will use rest of the information given to build the system. We have two variables x (the number of cookies the first boy bought) and k( the increase), that means we need to have two equations to solve this problem. 
We know that total amount of scones is 60, so we can use that information to build our first equation. We sum all of the scones and we get 60. 
R_{o}+C_{a}+L_{o}+T_{o}+C_{h}=60
5x+10k=60
We know that Robbie and Cameron combined have 3/7 of <span>Louis, Tom and Charlie combined. We can use this information to build our second equation.
</span>R_o+C_a= \frac{3}{7} (L_o+T_o+C_h)
2x+k= \frac{3}{7} (x+2k+x+3k+x+4k)
2x+k= \frac{3}{7} (3x+9k)
14x+7k=9x+27k
5x=20k
x=4k
Now this piece of information alows us to solve the first equation that we made and this will solve our problem. We simply plug in x=4k into 5x+10k=60.
5(4k)+10k=60
30k=60
k=2
Now we can plug this information into the same equation 5x+10k=60 and get x.
5x+10(2)=60
5x=40
x=8
And that's it. Now we can write out how many cookies each boy has bought.
R_{o} : x=8
C_{a} : x+k=10
L_{o} : x+2k=12
T_{o} : x+3k=14
C_{h} : x+4k=16
If you add them all up you get 60.
3 0
3 years ago
How much of 30% HCI and 45% HCI would be needed to mix and produce 50 liters of 35% HCI
VladimirAG [237]

Answer:

  • 33 1/3 liters of 30%
  • 16 2/3 liters of 45%

Step-by-step explanation:

Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...

  0.45x +0.30(50 -x) = 0.35(50)

  0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)

  x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl

33  1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.

_____

<em>Comment on the solution</em>

You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...

  (mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3

5 0
4 years ago
The luxury tax threshold in a professional sports league is the amount in total payroll that teams must stay under to prevent be
VMariaS [17]

Answer:

A: The coefficient changes from 120 to 117, and the base changes from 1.033 to 1.035. The function that represents the second model is A(t)=117(1.035)^t.

Step-by-step explanation:

luxury tax you get only the amount that you need

6 0
3 years ago
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