10: A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the bin is 1⁄6 full. How many bolts are in the bin when it’s time to reorder?

Answer:

The answer is [The x-coordinate of the center of the circle decreases by 3.]

Step-by-step explanation:

To find the distance the shell hit and the time it was in the air, we need to determine the total time it takes for the shell to hit the ground. The horizontal component of the shell's initial velocity remains constant, while the vertical component is affected by gravity. By solving for the time using the vertical component, we can then multiply it by the horizontal component to find the distance and convert it to kilometers.

To find the distance that the shell hit, we need to determine the time it was in the air. We can do this by finding the total time it takes for the shell to hit the ground. The shell's initial velocity is given as 2.41 km/s at an angle of 61.5 degrees. We can break down the initial velocity into its horizontal and vertical components. The horizontal component remains constant, while the vertical component is affected by gravity. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the time it takes for the shell to reach the ground.

So, the shell hit a distance of [distance] km away and was in the air for [time] s.

https://brainly.com/question/24196077

#SPJ3

Answer:

Prime

Step-by-step explanation:

77 is composite

It has other factors besides 1 and itself

68 -composite

52-composite (it is even)

31 -prime

59-prime

1. D (4,5)                        

2. C

3. D

4. A

5. C

6. D

7. B

8. C

9. A

10. B

OR

1. B (2,6)

2. A

3. A

4. C

5. D

6. A

7. A

8. B

9. C

10. A

Don't deny it, you came here for the answers ;)

Final answer:

A half pepperoni pizza contains 660 calories and a ham-and-pineapple pizza contains 580 calories.

Explanation:

Let's represent the number of calories in half a pepperoni pizza as x, and the number of calories in a ham-and-pineapple pizza as y. We can set up a system of equations to represent the given information:

0.5x + 0.75y = 765 -- Equation (1)

0.25x + y = 745 -- Equation (2)

We can solve this system of equations using the method of substitution:

From Equation (2), y = 745 - 0.25x

Substitute this value of y into Equation (1):

0.5x + 0.75(745 - 0.25x) = 765

Simplify and solve for x:

0.5x + 558.75 - 0.1875x = 765

0.3125x = 206.25

x = 660

Now substitute the value of x back into Equation (2) to find y:

0.25(660) + y = 745

Simplify and solve for y:

165 + y = 745

y = 580

Therefore, there are 660 calories in a half pepperoni pizza, and 580 calories in a ham-and-pineapple pizza.

The way to not prove a quadrilateral is a parallelogram is; Show one set of opposite sides of the quadrilateral is congruent.

A parallelogram is a quadrilateral which has opposite sides to be congruent and parallel as the name implies and hence, opposite angles of the parallelogram are congruent.

However, showing one set of opposite sides of the quadrilateral is congruent is not a confirmatory test for a parallelogram, as it evades the parallel law of opposite sides of the Parallelogram.

Read more on parallelogram;

https://brainly.com/question/17167464

Answer:

The answer is in the attachment.

Step-by-step explanation:

Coefficient in front of x^2 is 0.4. What that means is that for same increase of x now we will have less increse of y. If you picture that we can also say that graph would be wider. The graph will stay on positive side of y axis because x^2 is always positive and 0.4 times that is again always positive.

The answer is third graph (middle one)

Final answer:

To find the number of chocolate chips needed for four and two-thirds cups of sugar, we use the given ratio of 4/3 cups of sugar to 1 cup of chocolate chips and set up a proportion. Solving it gives us 3.5 cups of chocolate chips.

Explanation:

To determine the number of chocolate chips needed when using four and two-thirds cups of sugar according to the brownie recipe, we must first understand the ratio given in the recipe, which is one and one-third cups of sugar to one cup of chocolate chips. This ratio can be simplified to a fraction for easier calculation: 4/3 cups of sugar : 1 cup of chocolate chips.

With this ratio, we can set up a proportion to find the amount of chocolate chips needed for four and two-thirds cups of sugar:

To solve for x, we cross-multiply and solve the resulting equation:

The quantity of chocolate chips needed is 3.5 cups when using four and two-thirds cups of sugar.

On a number line, closed circle on a point indicates that point is also included and the open circle indicates that point is not included.

Number lines are represented as straight lines drawn horizontally on which integers are written in equal intervals.

This line is extended to infinity on both sides.

Number line includes positive numbers, zero and negative numbers.

Closed circles and open circles are used in number line to represent linear inequalities in one variable.

Let 'n' be any number on the number line.

We use open circles on 'n' to denote inequalities like x < n and x > n.

We use closed circles on 'n' to denote inequalities like x ≤ n and x ≥ n.

Hence, open circles are used to numbers which are greater than or less than ( > or < ) and closed circles are used to numbers which are greater than or equal to and less than or equal to ( ≥ or ≤ ).

To learn more about number line, click:

https://brainly.com/question/13425491

#SPJ2

To maximize profit, the candy manufacturer should use mathematical linear programming. The decision variables are the amounts of Candy A (x) and Candy B (y). The profit function P = 285x + 260y is to be maximized subject to constraints arising from available stock of dark chocolate, caramel, and walnuts, leading to a typical linear programming problem.

To solve this problem, we need to use Linear Programming, a mathematical model that helps in making optimal decisions. The candies are what we call decision variables. Our decision variables here are Candy A and Candy B.

Candy A: x kilograms (dark chocolate and caramel in equal parts).

Candy B: y kilograms (two parts of dark chocolate and one part of walnut).

We want to maximize the profit function P = 285x + 260y subject to constraints arising from the available stock of dark chocolate (DC), caramel (C), and walnuts (W).

The next step is to solve these inequalities graphically or using mathematical methods to get values of x and y that maximize P while respecting constraints. This case, where we want to optimize a certain function with respect to constraints, is a typical linear programming problem in mathematics.

https://brainly.com/question/34674455

#SPJ12

Answer:

probably 4/12 = 1/3 muffins are not blueberry

Step-by-step explanation:

Answer:

3/4 sq. ft.

Step-by-step explanation:

Hope it helps.

Answer:

True  

Step-by-step explanation:

Given : Statement - 'A degree is larger than 30 arc minutes'.

To find : True or False ?

Solution :

We know that,

1 degree is [tex]1^\circ=\frac{1}{360}[/tex] of a circle

1 arc minute is [tex]1^'=(\frac{1}{60})^\circ[/tex] of degree.

So, 30 arc minutes is [tex]30^'=(\frac{30}{60})^\circ[/tex] of degree.

30 arc minutes is [tex]30^'=(\frac{1}{2})^\circ[/tex] of degree.

Which clearly means,

[tex]1^\circ>(\frac{1}{2})^\circ[/tex]

[tex]1^\circ>30^'[/tex]

Therefore, The given statement is true.

'A degree is larger than 30 arc minutes'.

y² + 15y + 56 = (y + 7)(y + a)

y² + 15y + 56 = y² + (7 + a)y + 7a

We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.

15 = 7 + a; a = 8

OR

56 = 7a; a = 8

Second factor is (y + 8)