Am I doing these right? Are these correct?

Answer:

y = 21x

Step-by-step explanation:

12x for the almonds

9x for the walnuts

12x + 9x is:

21x total

So, the formula should be:

y = 21x

Final answer:

The equation is Total nuts = 24 nuts per bag * x bags.

Explanation:

To find the total number of nuts needed to fill the snack bags the company sells, we need to calculate the sum of almonds and walnuts in each bag and then multiply that by the number of snack bags sold (represented by x).

Each snack bag contains:

The total number of nuts per bag is:

15 almonds + 9 walnuts = 24 nuts per bag

Thus, if x represents the number of snack bags sold, the equation to find the total number of nuts required is:

Total nuts = 24 nuts per bag * x bags

Answer:

11 > n > 4

Step-by-step explanation:

Given any two sides of a triangle, we now that the sum of such sides MUST be greater than the measure of the remaining side. This is, given the three sides a, b and c, it must be that:

a + b > c

a + c > b

b + c > a

For our case:

7 + 4 > n (1) ---> 11>n

7 + n > 4 (2)

4 + n > 7 (3)

The 1 inequality says that the n side MUST be less than 11.

Now, pick the (3) inequality and subtract 4 in both sides:

4 + n  -4 > 7 - 4

n > 3

So, the n side must be grater than 3.

Thus, the solution is:

11 > n > 3

As we are working with integers we now that the grater integer larger than 3 is 4, and the greater integer less than 11 is 10. So, the side must be equal or greater to 4 and equal or less than 10:

10 >= n >= 4

Answer:

The number line that best represents this statement is:

                       Option: A

Step-by-step explanation:

We are given a statement that:

More than 20 students participated in a drawing competition.

This means that when this statement is represented on the number line the region that is covered is:

(20,∞)

Since the more than 20 students means that 20 is not included and all the numbers greater than 20 are included.

Also, on the number line the shaded region lie to the right of 20 and there is a open circle at 20 as 20 is not included in the domain.

Hence, option: A is the correct answer.

If we have a parallelogram and a triangle with the same base and height, the area of the parallelogram will be exactly twice the area of the triangle. This can be expressed as:

[tex]\[ A_{\text{parallelogram}} = 2 \times A_{\text{triangle}} \][/tex]

The area of a parallelogram is twice the area of a triangle that has the same base and height.

To understand the relationship between the area of a parallelogram and the area of a triangle with the same base and height, we can start by recalling the formulas for the area of each shape.

The area [tex]\( A \)[/tex] of a triangle with base[tex]\( b \)[/tex] and height [tex]\( h \)[/tex] is given by the formula:

[tex]\[ A_{\text{triangle}} = \frac{1}{2} \times b \times h \][/tex]

The area [tex]\( A \)[/tex] of a parallelogram with the same base [tex]\( b \)[/tex] and height [tex]\( h \)[/tex] is given by the formula:

[tex]\[ A_{\text{parallelogram}} = b \times h \][/tex]

From these formulas, we can see that the area of a parallelogram is the full rectangle formed by the base and height, while the area of a triangle is half of that rectangle (since a triangle is essentially half of a parallelogram with the same base and height).

Answer:

.

Step-by-step explanation:

Answer:  

The required factorized form of the given quadratic equation is :

4x·(2x + 3)

Step-by-step explanation:

The quadratic equation is given to be :

8x² + 12x

Now, we need to find the factored  for of the given quadratic equation.

⇒ 8x² + 12x

Taking 4 common from both the terms

⇒ 4(2x² +3x)

Now, Taking x common from both the terms which are inside the bracket

⇒ 4x·(2x + 3)

⇒ Now, This equation cannot be factorized further

Hence, The required factorized form of the given quadratic equation is :

4x·(2x + 3)

Answer:

Minimum: y=-106. Maximum: infinite

Step-by-step explanation:

The function described is a parabola, written in the form:

[tex]f(x)=ax^2 +bx+c[/tex]

with:

[tex]a=2\\b=28\\c=-8[/tex]

First of all, we notice that the parabola is upward, because the sign of the coefficient of the second-order term (a) is positive (in fact, a=2). Therefore, it has a minimum value of y. The x corresponding to the vertex of the parabola is given by:

[tex]x_v=-\frac{b}{2a}=-\frac{28}{2\cdot 2}=-7[/tex]

And substituting into f(x), we find the minimum value of y:

[tex]f(-7)=2(-7)^2+28(-7)-8=98-196-8=-106[/tex]

While the parabola has no maximum value, since it goes to infinite as x becomes larger.

The car can travel 317.15 km in 5 hours given its speed remains constant at 63.43 km/h which is calculated based on the 444 km it travels in 7 hours.

To solve this problem, we need to calculate the rate of speed of the car first. The speed of the car is found by dividing the total distance by the time.
So, the speed will be 444 km / 7 hours = 63.43 km/h.

With this constant speed, we can determine how far the car could travel in 5 hours by multiplying the speed by the time:
Thus, the distance it can travel in 5 hours is 63.43 km/h * 5 h = 317.15 km.

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Step-by-step explanation:

Answer:

25.5÷3=8.5

answer is 8.5....

Answer: C 8.5

Step-by-step explanation:

We can use the formula:

time = (number of revolutions) / (rate of revolution)

Substituting the given values, we get:

time = 25.5 / 3

time = 8.5

Therefore, the Carousel will take 8.5 minutes to spin 25.5 times.

The answer is option C.

Answer:

A. 7/13 B. 9 C. 13 D. 7/13 E. 5/14 F. 6/13 G. Red

Step-by-step explanation:

First we take a ball from bag one, there are 14 balls, 5 red, 9 blue, then, there is 5/14 for red and 9/14 for blue.

Then we take a ball from the second bag and we have 13 balls: 7blue and 6 red, so the posibilities are 7/13 for blue and 6/13 for red.

As it doesn't says anything about mixing balls of both bags, it does not matter the result of the first bag for the probabilities in the second one.