If Jennifer made a fruit juice using red and green grapes. Thirty percent of the grapes are green.If she used a total of 60 grapes , how many red grapes should she use?

Answers

Answer 1
Answer: p\%=(p)/(100)\n\n30\%=(30)/(100)=0.30=0.3\n\n30\%\ of\ 60=0.3\cdot60=18\leftarrow\ number\ of\ green\ grapes\n\n60-18=\boxed{42}\leftarrow ANSWER

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A package of 6 pairs of insulated gloves costs $43.14 what is the unit price of the pairs of gloves?

Mina has £3.20. If she gives half to her brother how much money does she have left?

Answers

Amount of money Mina has : £3.20

Half of her money : ½ × 3.20 = £1.6

So, She gives her brother £1.6
Money left with her : Total money - Money given to her brother = £3.20 - £1.60 = £1.60

If 0.05x=20 then x=

Answers

0.05x=20
-------- -------
0.05 0.05

×=400
x=20/0.05
x=400
therefore x is going to be 400

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The quadratic function f(x) = x² - 5x + 12 has a parabolic graph that opens upwards. It passes through the point (0, 12) and does not contain the point (20, -8).

The quadratic function f(x) = x² - 5x + 12 is a second-degree polynomial with a leading coefficient of 1. It has a graph that is a parabola, which opens upwards since its leading coefficient is positive. The statement "the graph contains the point (0, 0)" is true because the y-intercept is found by evaluating f(0) which equals 12. The statement "the graph contains the point (20, -8)" is false because plugging in x = 20, we get f(20) = 212 which is not equal to -8. The statement "the graph of the function opens down" is false, as stated before, the graph of the function opens upwards.

Learn more about quadratic functions here: brainly.com/question/18958913

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You are standing 44 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
meters
One of your friends is on the 86th floor. What is the distance between you and your friend?
meters

Answers

The height of the building is 313 m while the friend is 192 m above me.

What is the angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point of interest. It is typically measured in degrees, minutes, and seconds.

The angle of elevation is commonly used in trigonometry, surveying, and navigation to determine the height or distance of an object.

Let the distance from the ground frond to the 86th floor be x

We would now have that;

Tan 82 = 121 + x/44

44Tan 82 = 121 + x

313 = 121 + x

x = 313 - 121

x = 192 meters

Total height of the building = 192 m + 121 m = 313 m

Learn more about angle of elevation:brainly.com/question/8817610

Which graphs represents the compound inequality x<5/4 or x> 5/2?

Answers

Answer: B

Step-by-step explanation:

Looking at the inequalities, both are ≤ and ≥. That means the x is not only greater or less than, but they are also equal to the number. With this fact, we can eliminate D since D has open circles.

Orr problem has 2 separate inequalities. Both are doing in different directions, hence the ≤ and ≥. This makes B automatically our answer. We can check by graphing each of the inequalities on the number line.

x≤5/4

We know that 5/4=1.25. We start at 1.25. Then the inequality tells less than or equal to. Since it is less than, we would travel to the left, where the numbers get smaller and smaller.

x≤5/2

5/2=2.5 We start at 2.5. The inequality tells us greater than or equal to. This means we have to travel to the right, where the number gets larger and larger than 2.5.

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 4%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)

Answers

Answer:

84.96 mg

Step-by-step explanation:

No = 100 mg

t = 6 hours, N = 96% of No = 96 / 100 No

t = 24 hours, N = ?

Let after 24 hours the remaining part is N.

Use the decay law equation

N = No e^-λt

96 / 100 = e^-6λ  

0.96 = e^-6λ

taking natural log on both the sides

ln 0.96 = - 6λ

λ = 6.8 x 10^-3 per hour

Now,

N = No e^-24λ

N = No x e^-(24 x 6.8 x 10^-3)

N = No (0.8496)

N = 100 x 0.8496 = 84.96 mg