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nordsb [41]
4 years ago
10

bob switches cell phone plans from Verizon to Tmobile. the monthly cost of his new plan is half the cost of his old plan, plus h

e added the iPhone 6s to his new plan which costs an additional $27.50 per month. If Bob's new monthly bill with Tmobile is $70 total(plan and phone), then how much is he saving per month by switching from Verizon to Tmobile? (analyze, equation, solve, check and interpret, conclusion)
Mathematics
1 answer:
EastWind [94]4 years ago
4 0
First you need to divide 70 by 2 in order to cut it in half which would give you 35. Then add 27.50 and you get 62.5. Subtract that from 70 and you get 7.50 so he saved $7.50 each month 
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3 years ago
Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

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KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

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irinina [24]

Answer:

2 numbers that multiply to make -21 = 3 x (-7)

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Step-by-step explanation:

2 numbers that multiply to make -21 = 3 x (-7) = -21

2 numbers that add up to -4 = 3 - 7 = -4

4 0
3 years ago
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