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3 years ago

8

mrs. Kenny teaches a ceramics class. She finds that she has 7/8 of a pound clay project. The project requires 1/6 of a pound. ho

w many projects can Mrs. Kenny complete without running out of clay?

1 answer:

astraxan [27]3 years ago

8 0

Answer:

5 1/4

Step-by-step explanation:

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Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a

malfutka [58]

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

<em>~ an aesthetics lover</em>

6 0

3 years ago

Read 2 more answers

How many solutions exist for the given equation?

Archy [21]

Answer:

Infinitely many

Step-by-step explanation:

12x+1=3(4x+1)-2

Expand 3(4x+1)-2

12x+3-2

12x+1

12x+1=12x+1

Simplify.

0=0

True for all values of x

7 0

3 years ago

Write an equation in point-slope form of the line that passes through the point (3,-8) and has a slope of 7. PLZ help meh!!

Black_prince [1.1K]

Answer:

y-(-8) = 7(x-3) or

y+8 = 7(x-3)

3 0

3 years ago

Melissa has three different positive integers. she adds their reciprocals together and gets a sum of 1. what is the product of h

madreJ [45]

First let us assign the three positive integers to be x, y, and z.

From the given problem statement, we know that:

(1/x) + (1/y) + (1/z) = 1

<span>
</span>Without loss of generality we can assume x < y < z.

We know that:

1 = (1/3) + (1/3) + (1/3)

Where x = y = z = 3 would be a solution

<span>However this could not be true because x, y, and z must all be different integers. And x, y, and z cannot all be 3 or bigger than 3 because the sum would then be less than 1. So let us say that x is a denominator that is less than 3. So x = 2, and we have:</span>

(1/2) + (1/y) + (1/z) = 1

Therefore

(1/y) + (1/z) = 1/2

<span>We also know that:</span>

(1/4) + (1/4) = (1/2)

<span>and y = z = 4 would be a solution, however this is also not true because y and z must also be different. And y and z cannot be larger than 4, so y=3, therefore</span>

(1/2) + (1/3) + (1/z) = 1

Now we are left by 1 variable so we calculate for z. Multiply both sides by 6z:

3z + 2z + 6 = 6z

z = 6

Therefore:

(1/2) + (1/3) + (1/6) = 1

<span>so {x,y,z}={2,3,6} </span>

<span> </span>

8 0

3 years ago

A,B,C,D are 4 towns. B is 40 kilometeres due east of A. C is 30 kilometeres due north of A. D is 45 kilometeres due south of A.

Vesna [10]

Answer:

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo.

We would determine angle ACB by applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Taking angle ACB as the reference angle,

Tan C = 40/30 = 1.33

Angle ACB = tan^-1(1.33) = 53.1°

The bearing is calculated with respect to the northern direction. Therefore, the bearing of B from C is

180 - 53.1 = 126.9°

4 0

3 years ago