Which of the following is a composite number that is divisible by both 3 and 5?A.116B.135C.1025D.1546

Paige used 1 1/2 cups of flour and 1/4 cup of butter to make 12 muffins. How much flour and butter would palat

yanalaym [24]

Answer:

D

Step-by-step explanation:

To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.

7 0

2 years ago

4. Represent the ordered pairs in the mapping diagram as a set of ordered pairs and as a table.

Firlakuza [10]

Answer/Step-by-step explanation:

✔️As a set of order pairs, the mapping can be represented as (x, y), where x = input and y = output.

Thus:

{(1, 6), (2, 6), (3, 6), (4, 8)}

✔️As a table we have input as x, and y as output, such as:

x | y

1 | 6

2 | 6

3 | 6

4 | 8

3 0

3 years ago

Pls answer with explanation!

patriot [66]

Answer:

3,750 cars.

Step-by-step explanation:

We are given that the equation:

$y=9000-2.4x$

Models the relationsip between <em>y</em>, the number of unfilled seats in the stadium, and <em>x</em>, the number of cars in the parking lot.

We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.

When there are no unfilled seats in the stadium, <em>y</em> = 0. Thus:

$0=9000-2.4x$

Solve for <em>x</em>. Subtract 9000 from both sides:

$-2.4x=-9000$

Divide both sides by -2.4:

$x=3750$

So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.

4 0

3 years ago

Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (

Troyanec [42]

Answer:

A) -9/2

B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that $I=\int_0^3 x^3-4x dx=9/4$ . We use the properties of integrals to write the new integrals in terms of I.

A) $\int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2$ . We have used that ∫cf dx=c∫f dx.

B) $\int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4$ . Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

4 0

3 years ago

You toss two dice and calculate the sum of the digits on the top faces. What is the probability that the sum is prime? I dont un

Karo-lina-s [1.5K]

${Answer}$

<h3>When two dice are thrown, the total number of sample spaces is 36. Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12.</h3>

4 0

2 years ago