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solong [7]
3 years ago
7

Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott’s container can hold 3 fluid

ounces of detergent, while the lid on Nikki’s container can hold 4 fluid ounces of detergent. How many more lids full of detergent does Scott have than Nikki?
Mathematics
1 answer:
KatRina [158]3 years ago
3 0
Scott has 16 more lid fulls of detergent than nikki.                                                First you need to convert 1.5 gallons to ounces which is 192. Then divide 192 by 3 and you get 64. Then divide 192 by 4 and you get 48. So then subtract 48 from 64 and you get 16.


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Does dose anyone know how to solve this?
solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: Area=Length \times Width

Putting values and finding w

Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\

Solve using quadratic formula: w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

We have a=3, b=-7, c=-66

Putting values and finding w

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

6 0
3 years ago
Question 2 help please
m_a_m_a [10]

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

  • In any triangle, the sum of the measures of its interior angle is 180°
  • In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

6 0
3 years ago
An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x
valentina_108 [34]
That would be the last choice.  Opposite meaning different sign
4 0
4 years ago
Read 2 more answers
Solve the system of equations. 2x y = 7 5x y = 9
lana [24]
Are you missing something?
2xy=7
5xy=9 
does not have a solution.
If you mean
2x+y=7
5x+y=9
please say so.
7 0
3 years ago
Answer the question in the image
elena-s [515]
Th length of FH is 16
6 0
3 years ago
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