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1 year ago

9

Cameron had 30 minutes to do a three problem quiz. He spent 8 3/4 minutes on question A and 5 1/2 minutes on question B. How muc

h time did he have left for question C?

1 answer:

Delvig [45]1 year ago

3 0

He has 15 and 3/4 minutes left over

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A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says t

solniwko [45]

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 $\times$ 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered = 12 $\times$ 20 = 240

Around <em>240 apples were ordered</em>.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 $\times$ 8 = 336

Rounding off 42 to 40, <em>number of apples sold = around 320</em>

<em></em>

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

<em>Correct answer is:</em>

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

4 0

2 years ago

(48. PERSEVERE Wha

katrin2010 [14]

Answer: 4

Step-by-step explanation:

We know that a plane is 2 dimensional surface that extends infinitely far.

The number of points required to define a plane = 3

Here , we have 4 points A, B, C, and D.

So, the number of possible combinations of 3 points to make a plane from 4 points = $C(4,3)$

$=4$ [ $C(n,n-1)=n$ ]

Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.

6 0

2 years ago

Use the Law of Cosines to find the missing angle. In triangle FGH, HF = 16 ft, FG = 23 ft, and m∠F = 52°. Find the measure of f.

ivolga24 [154]

F = 18 ft.

The law of cosines states
c² = a² + b² - 2ab cos C

Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732

Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18

5 0

2 years ago

Line AB and line BC form a right angle at point B. If A = (-3, -1) and B + (4, 4), what is the equation of line BC?

Andrej [43]

Answer:

C.) -7x - 5y = -48

Step-by-step explanation:

slope AB = (y2 - y1)/(x2-x1)

= {4-(-1)}/{4-(-3)} = 4+1/4+3 = 5/7

slope of BC = -1 ÷ 5/7 = -1 × 7/5 = -7/5

taking -7x - 5y = -48

-5y = 7x -48

y = 7x/-5 - 48

y = -7/5x -48

7 0

2 years ago

24 is 44% of what number?

Zarrin [17]

Answer:

24 is 44% of 54.55

Step-by-step explanation:

24 ÷ 44% = y ÷ 100%

Solve for y - To do so, we will use cross multiplication.

44y = 24 × 100

44y = 2400

y = 2400 ÷ 100

y = 54.55

8 0

2 years ago