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mixer [17]
3 years ago
15

Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3 /10 of it while painting a clover. She decid

es that, for her next painting, she will need 14 pints of green paint. How much more paint will she need to buy?
Mathematics
1 answer:
atroni [7]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Total pints of paint = 20

For landscape :

2/5 * 20 = 8 pints

For clover :

3/10 * 20 = 6 pints

Total used = (8 + 6) = 14

Pints left = 20 - 14 = 6 pints

14 required for next painting

14 - 6 = 8 pints

8 more pints needed

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Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.
Umnica [9.8K]

Answer:

<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>

Step-by-step explanation:

• General quadratic equation:

{ \rm{ {x}^{2}  - (sum \: of \: roots)x + (product \: of \: roots) }}

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

{ \boxed{ \rm{4 {x}^{2}  - 9x + 20 }}}

3 0
2 years ago
I need help with coming up with equation
Natali5045456 [20]

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

6 0
3 years ago
A pair of shorts cost $32. If the shorts were on sale for 25% off, how much will they cost
Aleks04 [339]

Answer:

Step-by-step explanation:

$8.75

hope it helps

7 0
2 years ago
Read 2 more answers
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
Olin [163]

Answer: C 6 units

Step-by-step explanation: Edg

8 0
2 years ago
Melanie invested $3,800 in an account paying an interest rate of 2 % compounded
GaryK [48]

Answer:

.85

Step-by-step explanation:

Compound interest formula

PV(1+\frac{i}{n})^{nt}

Melanie:

3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21

Sebastian:

3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06

4824.06-4283.21= .85

4 0
3 years ago
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