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ivanzaharov [21]
3 years ago
15

Please help!! I don’t understand how to do this problem

Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

D.

Step-by-step explanation:

y  = 3x \\ \frac{y}{3} = x \\   \\  \frac{3y}{3}  + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y =  \frac{45}{3} \\ y = 15 \\  \\ x =  \frac{y}{3}  \\  =  \frac{15}{3}  \\  = 5

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H I’m only on 6th grade go to your teacher
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2 years ago
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Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has tw
arlik [135]

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6

7 0
3 years ago
What are the solutions of the equation 9x^4 – 2x^2 – 7 = 0? Use u substitution to solve.
Debora [2.8K]
9x^4 - 2x^2 - 7 = 0 \\ \text{substitution: }  x^2=t, \ \ t\ \textgreater \ 0\\ 9t^2-2t-7\ \textgreater \ 0 \\ D=b^2-4ac=(-2)^2-4*9*(-7)=4+252 = 256 \\ t_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{2б 16 }{18} \\ t_1=- \frac{14}{18} \ \ \ \ \O \\  \boxed{t_2=1} \\ \\x^2=1\\x=б \sqrt{1} \\ x=б1

Answer: x=-1, x=1
8 0
3 years ago
If one person takes six hours to paint a house in another person takes 10 hours to paint house how long does it take them to pai
garik1379 [7]

Answer: 8

Step-by-step explanation: 6+10=16 16/2=8

8 0
3 years ago
...............................................
olga2289 [7]

Answer:

  1. OT⊥BA;T is the midpoint of BA-------Given
  2. ∠BTO and ∠ATO are right angles ---Definition of perpendicular lines
  3. ∠BTO≅∠ATO---------------------------------All right angles are congruent
  4. T is the midpoint of BA------------------ Given
  5. TA≅TB-------------------------------------------Definition of midpoint
  6. TO≅TO------------------------------------------Reflexive
  7. ΔBOT≅ΔAOT---------------------------------SAS

Step-by-step explanation:

Given that OT⊥BA and T is the midpoint of BA

As OT⊥BA,

∠BTO and ∠ATO are right angles (Definition of perpendicular lines)

⇒∠BTO≅ ∠ATO (All right angles are congruent)

T is the midpoint ofBA (given)

⇒TA≅TB (Definition of midpoint)

TO≅TO (Reflexive)

Therefore, ΔBOT≅ΔAOT (by SAS criteria ):

conditions:

  • BT=AT(side)
  • ∠BTO=∠ATO(angle)
  • TO=TO(side)
3 0
3 years ago
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