In this triangle, we have
![\cos30^\circ=\dfrac{4x\sqrt3-5\sqrt3}{5x-4}](https://tex.z-dn.net/?f=%5Ccos30%5E%5Ccirc%3D%5Cdfrac%7B4x%5Csqrt3-5%5Csqrt3%7D%7B5x-4%7D)
You should know that
, so that
![\dfrac{\sqrt3}2=\dfrac{4x\sqrt3-5\sqrt3}{5x-4}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt3%7D2%3D%5Cdfrac%7B4x%5Csqrt3-5%5Csqrt3%7D%7B5x-4%7D)
Divide both sides by
to get
![\dfrac12=\dfrac{4x-5}{5x-4}](https://tex.z-dn.net/?f=%5Cdfrac12%3D%5Cdfrac%7B4x-5%7D%7B5x-4%7D)
Multiply both sides by
to get
![\dfrac{5x-4}2=4x-5](https://tex.z-dn.net/?f=%5Cdfrac%7B5x-4%7D2%3D4x-5)
Simplify and solve for
:
![\dfrac{5x}2-2=4x-5](https://tex.z-dn.net/?f=%5Cdfrac%7B5x%7D2-2%3D4x-5)
![5-2=4x-\dfrac{5x}2](https://tex.z-dn.net/?f=5-2%3D4x-%5Cdfrac%7B5x%7D2)
![3=\dfrac{3x}2](https://tex.z-dn.net/?f=3%3D%5Cdfrac%7B3x%7D2)
![6=3x](https://tex.z-dn.net/?f=6%3D3x)
![\implies\boxed{x=2}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7Bx%3D2%7D)
<span>The given expression can be classified in many ways. To summarize, there are a few ways to classify it:
It is a polynomial
classification by the number of terms: binomial
classification by degree: first degree polynomial or degree = 1
classification by graph: straight line or a linear function</span>
Answer:
88 blankets
Step-by-step explanation:
5 times 15 = 75
75 + 13 = 88
A.
7 times number of cats=pay
if pay=49 then
7 times number of cats=49
divide both sides by 7
number of cats=7
da equaton can be
c=number of cats
7c=49
he fed 7 cats
B.
7c=49
divide both sides by 7
equality property of division
(7c)/7=49/7
math fact
(7/7)c=7
1c=7
identity property of division
c=7
identity property of multiplication
7 cats
C. 7 cats
Answer: her monthly allowance is $630
Step-by-step explanation:
Let x represent her monthly allowance.
Claire spent $450 of her allowance each month and saved the rest. This means that the amount she saved each month is x - 450
If she increased her spending by 18% her savings would decrease by 30%. The expression for an 18% increase in her spending would be
(18/100 × 450) + 450 = 81 + 450
= 531
The expression for a 30% decrease in her savings would be
(x - 45) - [30/100 × (x - 450)]
= (x - 45) - [0.3(x - 450)]
= (x - 45) - [0.3x - 135]
= x - 45 - 0.3x + 135
= x - 0.3x - 45 + 135
= 0.7x + 90
Therefore,
0.7x + 90 = 531
0.7x = 531 - 90
0.7x = 441
x = 441/0.7
x = $630