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uysha [10]
3 years ago
14

7/8+ -7/16 ÷ 8/10 -1/4​

Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

5/64

Step-by-step explanation:

used calculator

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Answer:

Measure of the arc = 360-74° = 286°

An arc measure is the measure of an angle that the arc creates in the center of a circle.

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What is z x y+b if b x g= 533773
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Step-by-step explanation:

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3 years ago
Write the equation. Lucy rides her bike 20 km every week how many km dose Lucy ride her bike in 7 weeks?
Snezhnost [94]
Let K = km in 7 weeks

Equation:

K = 7(20)
5 0
3 years ago
I only need 12 and 17, first good response i will give brainliest please i’m desperate
Mumz [18]

Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

  • (4, -3)
  • (0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

\implies -3=m(4)-2

\implies -1=4m

\implies m=-\dfrac{1}{4}

Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

7 0
1 year ago
A cruise line is planning its menu for the next trip. Vacationers like eating steak, lobster, and chicken. The cruise line has d
pychu [463]

Answer: They should order 160 steak, 80 lobster and 260 chicken. The total cost for the meals would be $4460

Step-by-step explanation:

The cruiser will have 400 passangers on board. By taking into account that the cruise line decided to buy 25% more of meals than bookings, we can conclude that in order to calculate the ammount of meals they will order, we have to take the number of passangers on board, 400, and add to it 25% more. So the number of meal orders will be 400 + (1/4 * 400) = 500.

Let's use the letter S to simbolize the ammount of steak they should buy, with L the ammount of lobster, and with C the ammount of chicken. The sum of those ammounts should be 500, so we deduce this formula

S + L + C = 500

we can replace C with 500 - S - L. Since at least forty percent of the passangers will have steak dinner and at least twenty percent will have lobster, we obtain this relations:

  • S \geq 400*0.4 = 160
  • L \geq 400*0.2 = 80

We note f the total cost of the meals (in $). The value of f will depend on the values of S and L. Using the information we are given about the cost of each dinner, and recalling that C was 500- S - L, we can represent f by this formula

f(S,L) = 10*S + 13*L + (500-S-L) * 7

Which is equal to 10*S + 13*L + 3500 - 7*S - 7*L = 3500 + 3*S  + 6*L

We want to minimaze the value of f, since 3*S + 6*L will get bigger as we use bigger values of S and L, then we will be in a good position if we take the values of S and L as low as possible.

With the restriction we obtained, the lowest values of S and L we can take are 160 and 80 respectively; so we take those values. In conclusion  

  • S = 160 (number of steak)
  • L = 80 (number of lobster)
  • C = 500-160-80 = 260 (number of chicken)

The total cost of the meals is

160*10 + 80*13 + 260*7 = 4460

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6 0
4 years ago
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