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SVETLANKA909090 [29]
2 years ago
11

A container holds 24 pints of lemonade. How much is this in gallons?

Mathematics
1 answer:
krok68 [10]2 years ago
3 0

Answer:

24 pints = 3 US liquid gallons

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Pls help, thank you
Lemur [1.5K]

Answer:

  • y = -3x² + 7x - 9

Step-by-step explanation:

<u>Given quadratic function:</u>

  • y = ax² + bx + c

<u>Points on the graph:</u>

  • (-2,-35), (1,-5), (3,- 15)

<u>Substitute values of x and y and solve the system of equations:</u>

  • -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c   ⇔ eq 1
  • -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c               ⇔ eq 2
  • -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c       ⇔ eq 3

<u>Subtract eq 2 from eq 1:</u>

  • -35 - (-5) = 4a - 2b + c - a - b - c
  • -30 = 3a - 3b
  • b = a + 10                                                         ⇔ eq 4

<u>Subtract eq 2 from eq 3:</u>

  • -15 - (-5) = 9a + 3b + c - a - b - c
  • -10 = 8a + 2b
  • b = -4a - 5                                                       ⇔ eq 5

<u>Compare eq 4 and eq 5, solve for a:</u>

  • a + 10 = -4a - 5
  • a + 4a = -5 - 10
  • 5a = -15
  • a = -3

<u>Find the value of b using eq 4:</u>

  • b = -3 + 10
  • b = 7

<u>Find the value of c using eq 2:</u>

  • -5 = -3 + 7 + c
  • c = -5 - 4
  • c = -9

<u>We now have a, b and c:, the function is:</u>

  • y = -3x² + 7x - 9

8 0
2 years ago
Read 2 more answers
Jenna and Richie go shopping at the mall to buy their mom a present they buy a scarf for $12.45 and a necklace for $35.65 their
padilas [110]

Answer:

The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.

Step-by-step explanation:

Given:

Cost of scarf = $12.45.

Cost of necklace = $35.65.

State tax charges sale tax = 8%.

Now, to find the sales tax paid on the gifts.

So, adding the price of the gifts:

12.45+35.65=48.10

Thus, the total amount of the gifts = $48.10.

Now, getting the sales tax the state charges:

8\%\ of\ 48.10

=\frac{8}{100}\times 48.10

=0.08\times 48.10

=3.848

<em><u>The tax nearest to cent = $3.85</u></em>

Therefore, the tax Jenna and Richie pay on the gifts is $3.85.

5 0
3 years ago
Solve 3 x - 9 x + 7 - 3 = -8.
erik [133]

Answer: x=2

3x−9x+7−3=−8

Step 1: Simplify both sides of the equation.

3x−9x+7−3=−8

3x+−9x+7+−3=−8

(3x+−9x)+(7+−3)=−8

−6x+4=−8

−6x+4=−8

−6x+4−4=−8−4

−6x=−12

−6x

−6

=

−12

−6

x=2


3 0
3 years ago
1 + 5 • 2 + ( 1 + 3)2
Sergeeva-Olga [200]

Answer:

1+5(2)+2(1+3)

1+10+2+6

=19

5 0
2 years ago
Read 2 more answers
Daja is packing her backpack for school. Her textbook weighs 1 ¼ pounds. Her notebooks weigh ¼ pound. Her other supplies weigh ¾
Shalnov [3]

Answer:

2 1/4 or 2.25

Step-by-step explanation:

1 1/4 + 1/4 = 1 2/4

1 2/4 + 3/4 = 2 1/4

6 0
2 years ago
Read 2 more answers
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