Whats the answer to this in the picture?
2/3(3x-15y)+(9-11x)
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Answers

Answer 1
Answer: (2)/(3) (3x-15y)+(9y-11x)

= 2(x-5y)+(9y-11x)

= 2x-10y+9y-11x

=-9x-y
Answer 2
Answer: A) -9x - y

3 * (2/3) = 2
-15 * (2/3) = -10

(2x - 10y) + (9y - 11x)

Combine like terms:
9y - 10y = -1y (or -y)
-11x + 2x = -9x
A) -9x - y

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If someone has 30 books to pack in each box and each box only hold 7 books how many books are left

Answers

Answer:

you have two books left over

Step-by-step explanation:

if you divide 30 by 7 you will get 4.2

that hows you have four boxes

to check yourself you can times 7 by 4 which will give you 28 and that shows you have two that wont fit

Amelia has a triangular kite with an area of 30 square inches and a height of 6 inches. How long is the base of the kite?

Answers

Area of triangle = 0.5 * base * height 
30 = 0.5 * 6 * base 
30 = 3 * base 
so , base = 10 inch 

Answer:

Draw a vertical line to break the kite into two equal triangles with a base of 36 and a height of 15. Use the formula A = 1

2

bh to find the area of each. The sum of the areas is the area of the kite.

Step-by-step explanation:

boom

Lucy wants to put out 32 ounces of orange juice in her favorite cylindrical pitcher for her family brunch. The pitcher is 13 cm in height and has a radius of 3 cm. Will the orange juice fit? A) No, because the volume of the vase is approximately 489.84 cubic centimeters, which is equivalent to 16.56 fluid ounces. B) No, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 12.42 fluid ounces. C) Yes, because the volume of the vase is approximately 1469.52 cubic centimeters, which is equivalent to 49.69 fluid ounces. D) Yes, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 10864.71 fluid ounces.

Answers

\bf \textit{volume of a cylinder}\n\n V=\pi r^2 h~~ \begin{cases} r=radius\n h=height\n[-0.5em] \hrulefill\n r=3\n h=13 \end{cases}\implies V=\pi (3)^2(13)\implies \stackrel{V=117\pi}{V\approx367.57~cm^3}


now, a US gallon(128 oz), has 3785 cm³, so if there are 128 oz in 3785 cm³, how many ounces are there in 367.57 cm³?


\bf \begin{array}{ccll} oz& cm^3\n \cline{1-2} 128&3785\n x&367.57 \end{array}\implies \cfrac{128}{x}=\cfrac{3785}{367.57}\implies \cfrac{128\cdot 367.57}{3785}=x\implies \stackrel{oz}{12.4}\approx x


so her pitcher can only hold as much as 12.4 ounces of OJ, so those 32oz won't fit in it.

According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?


(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.

(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.

(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.

Answers

Answer:

Options A and B are true

(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

B. (B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

Step-by-step explanation:

A. In a developed society, it's imperative for the authority to hold public hearings with stake holders to air their views before the tolls are increased, this would enable the authority to carry out proper assessment to know both the positive and negative impact of increasing the toll.

B. Increasing the tolls implies that there must be adjustment in the automated tolling machines and this would incur cost on the authority, this contract would be executed by private contractors.

What is calories ???​

Answers

Answer and Step-by-step explanation:

Calories, in the realm of nutrition, represent units of energy derived from food and beverages. Specifically, we refer to kilocalories, denoting the energy required to raise the temperature of one kilogram of water by one degree Celsius. These units quantify the potential energy our bodies extract from consumed food, fueling essential physiological functions such as metabolism, movement, and overall bodily maintenance. It's essential to recognize that the caloric content varies among macronutrients; fats, proteins, and carbohydrates offer differing amounts of energy per gram. Monitoring calorie intake and expenditure plays a pivotal role in weight management, where achieving a balance between calories consumed and calories burned through physical activity is a key consideration.

What type of triangle has two congruent sides and two angles measuring 45 degrees?

Answers

That's an isosceles right triangle.
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