how do you find the least common multiple of 16 and 42?

The greatest common factor of 20y^9 + 5y^6 is 5y^6.

To find the greatest common factor (GCF) of 20y^9 + 5y^6, we need to determine the highest power of each variable that divides each term evenly. In this case, the highest power of y that can be divided evenly is y^6. The GCF of the two terms is therefore 5y^6.

Final answer:

To find the cost of one cookie and one candy bar, we can write a system of linear equations and solve them using the method of elimination or substitution. The total cost of each candy bar can be found by multiplying its cost by the number of candy bars in the goodie bag.

Explanation:

We can write a system of linear equations to find the cost of one cookie (x) and one candy bar (y) based on the information given:

Equation 1: 4x + 3y = 10.25

Equation 2: 2x + 7y = 14.75

To solve this system of equations, we can use the method of substitution or elimination.

First, let's solve the system using the method of elimination:

By following these steps, we can find the cost of one candy bar (y) and the cost of one cookie (x).

The total cost of each candy bar can be found by multiplying its cost (y) by the number of candy bars in the goodie bag.

Answer:

landing on a shaded portion and landing on an even number ; landing on a shaded portion and landing on a number greater than 3 ; landing on an unshaded portion and landing on an odd number ; and landing on an unshaded portion and landing on a number less than 2.

Explanation:

Mutually exclusive events are events that cannot occur at the same time.  Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.

This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.

The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.

The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.

The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.

Answer:

Option 3 and 5 on edg 2020

Step-by-step explanation:

The equation represents the distributive property, a fundamental concept in algebra where a number is distributed across an addition inside a parenthesis, and then the individual products are summed.

The equation 17⋅44+17⋅56=17⋅100 showcases the distributive property of multiplication over addition. The distributive property allows one to multiply a number by a group of numbers added together by doing each multiplication separately and then adding the results. This property is very useful in algebra and simplifying mathematical expressions. In this case, 17 is multiplied by 44 and 56 individually, and then the products are added to get the same result as multiplying 17 by the sum of 44 and 56, which is 100.

The system of linear inequality equations are given where x is the number of bags from store X and y is the number of bags of feed from store Y

x + y ≥ 60

y ≤ 40

x ≥ y

x , y ≥ 0

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of bags from store X be x

Let the number of bags from store Y be y

And , the cost of one bag from store X = $ 20

The cost of one bag from store Y is = $ 15

The total number of bags required is minimum 60 bags

So , the inequality is

x + y ≥ 60   be equation (1)

Now , Store Y can provide a maximum of 40 bags per week

So , the inequality is

y ≤ 40   be equation (2)

And , the farm has agreed to purchase from store X as least as many bags as from store Y. This implies that the quantity of feed bags purchased from store X must be larger than or equal to the quantity of feed bags purchased from store Y

So , the inequality is

x ≥ y   be equation (3)

Hence , the inequality equations are solved

To learn more about inequality equations click :

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Final answer:

Ira has caught 53 balls, which is found by adding 12 to Liv's total of 41 balls.

Explanation:

The question asks to find out how many balls Ira has caught if Liv has caught 41 balls and Ira has caught 12 more balls than Liv. To solve this, we start with the number of balls Liv has caught, which is 41. Since Ira has caught 12 more balls than Liv, we add 12 to Liv's total. Therefore, the number of balls caught by Ira is calculated as follows:

Liv's total = 41 balls

Ira's total = Liv's total + 12

Ira's total = 41 + 12 = 53 balls

Thus, Ira has caught 53 balls.

Answer:

Major new purchase

Step-by-step explanation:

Apex

Answer:

4.25

Step-by-step explanation:

if you multiply 3 1/2 x 3 1/2 x 7, you get 85.75 so you subtract 85.75-90 which equals 4.25. and that is you answer hope this helps!!!

Answer:

4.25 I took the test

Step-by-step explanation:

The surface area of the glass triangular prism is 78 square inches.

To find the surface area of the glass triangular prism, we need to find the area of each face and then sum them up. The prism has two triangular bases and three rectangular faces. The area of each triangular base is given by the formula A = (1/2) * base * height, where the base is 4 inches and the height is 3 inches. Therefore, the area of each base is (1/2) * 4 * 3 = 6 square inches. The total area of both bases is 2 * 6 = 12 square inches.

The area of each rectangular face can be found using the formula A = length * height, where the length is 4 inches and the height is 5.5 inches. Therefore, the area of each rectangular face is 4 * 5.5 = 22 square inches. The total area of all three rectangular faces is 3 * 22 = 66 square inches.

Finally, we can find the total surface area by adding the area of the bases and the area of the faces: 12 + 66 = 78 square inches.

The given equation is transformed into slope-intercept form as y = -14/15 * x + 11/15, where the slope is -14/15, and the y-intercept is 11/15.

To rewrite the equation 14x + 15y = 11 in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate y.

Starting with the given equation:

14x + 15y = 11.

Subtract 14x from both sides:

15y = -14x + 11.

Divide both sides by 15 to solve for y:

y = -14/15 * x + 11/15.

Now, the equation is in slope-intercept form. The slope (m) is -14/15, and the y-intercept (b) is 11/15.

In summary, the equation 14x + 15y = 11 is rewritten in slope-intercept form as y = -14/15 * x + 11/15.

Answer:

→△ABC is reflected to form​​ ​ △A′B′C′ ​.

→→Vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6)  and the vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) .

Drawing the two images of ΔABC and ΔA'B'C'on two Dimensional Coordinate Plane

When, reflection takes place,the two, Image, and Pre-Image are Congruent, that is neither the shape nor the Size changes only translation of the shape takes place on the coordinate plane.

Option C: → Reflection across y = x.

Answer:

Step-by-step explanation:

The given transfomation is

[tex]A(-1,3) \implies A'(3,-1)\\B(2,4) \implies B'(4,2)\\C(-5,6) \implies C'(6,-5)[/tex]

Notice that the rule of the given transformation is

[tex](x,y) \implies (y,x)[/tex]

That is, the coordinates were change of position, like an inverse.

According to transformation rules, this represents a reflection across the line [tex]y=x[/tex].

Therefore, the right answer is C.