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34kurt
1 year ago
13

HJ is twice JK. J is between H and K. If HJ= 4x and HK=78, find Jk.

Mathematics
1 answer:
ss7ja [257]1 year ago
6 0
You'll find it easier to understand if you illustrate the problem as what is shown in the attached picture. From the illustration and the problem description, two equations can be formulated:

HJ = 2JK
HJ + JK = HK

2JK + JK = 78
3JK = 78
JK = 78/3
JK = 26

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Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy
Kobotan [32]
<span>The answer is c. 1.5r + 2.5(5 – r) = 10.50. Let r be the number of raisins and p be the number of peanuts. Raisins cost $1.50 per pound: 1.5r. Peanuts cost $2.50 per pound: 2.5p. Jeremy spends $10.50: 1.50r + 2.50p = 10.50. Jeremy makes 5 pounds of trail mix: r + p = 5. So, we have the system of two equations: 1.5r + 2.5p = 10.50 and r + p = 5. Use the second equation to express p: p = 5 - r. Now, substitute p in the first equation: 1.5r + 2.5(5 - r) = 10.50. Therefore, the correct choice is c. 1.5r + 2.5(5 – r) = 10.50.</span>
4 0
1 year ago
Read 2 more answers
Find the solution to each of these recurrence relations and initial conditions. use an iterative approach such as that used in e
Kamila [148]
Ok he anawee is d I’m pretty sure
8 0
1 year ago
A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into t
steposvetlana [31]

Original-drank+added=result

orignail=stwabery+mango+watermelon

original=0.85+0.50+0.15=1.5liter

drank=0.3

orignail-drank=result

1.5-0.3=drank=1.2liter

A. see above

B. addition and subtraction facts

3 0
1 year ago
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You are still debating about the two different computers. If you are paid $10.00/hour and your deductions are FICA (7.65%), fede
sattari [20]

Answer:

89 hours

Step-by-step explanation:

First solve all the deductions.

For each multiply the $10, which you are paid, and the percentage.

For FICA: $10 x 0.0765 = $0.77 per hr

For Fed tax: $10 x 0.12 = $1.2 per hr

For State tax: $10  x 0.08 = $0.8 per hr

Now subtract the remaining pay:

10 – 0.77 – 1.2 – 0.8 = $7.23

Time required = $640 / $7.23 per hr

Time required = 89 hrs

Final answer:

89 hours

8 0
2 years ago
NOT is coded as LKF and FLY is coded as TNA, then which of the following word/s has/have correct coding? (1) TOP – FKJ (2) RUN –
AVprozaik [17]

Answer:

  • (1) and (3) are correct options

Step-by-step explanation:

  • NOT is coded as LKF
  • FLY is coded as TNA

<u>Using alphabet, we can see that:</u>

NOT = 14, 15, 20  ⇔ 13+1, 13+2, 13+7 ⇒ LKF = 12,11,6 = 13-1, 13-2, 13-7

Coding for each letter is 13 + x ⇒ 13 - x

(1) TOP ⇒ FKJ

  • TOP = 20,15,16 ⇒ 13-7, 13-2, 13-3 =  6,11,10 = FKJ
  • Correct

(2) RUN ⇒ IFM

  • RUN = 18,21,14 ⇒ 13-5,13-8,13-1 = 8,5,12 = HEL ≠ IFM
  • Incorrect

(3) MUG ⇒ MES

  • MUG = 13,21,7 ⇒ 13+0, 13-8, 13+6 = 13,5,19 = MES
  • Correct

(4) HOT ⇒ RKG

  • HOT = 8,15,20  ⇒ 13+5,13-2, 13-7 = 18,11,6 = RKF ≠ RKG
  • Incorrect

7 0
1 year ago
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