What is the cost of 2 kilograms of flour if 3 Kg cost $4.86 and the unit price for each packet of flower is the same? A. $0.81 B. $2.86 c. $3.24 d. $9.72

The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The slope of a line which contains points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]

is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The given is:

1. Point (-12 , -60) lies on the line

2. Point (60 , -42) lies on the line

We need to find the slope of the line

∵ [tex](x_{1},y_{1})[/tex] = (-12 , -60)

∵ [tex](x_{2},y_{2})[/tex] = (60 , -42)

- Substitute these values in the rule

∴ [tex]m=\frac{-42-(-60)}{60-(-12)}[/tex]

∴ [tex]m=\frac{-42+60}{60+12}[/tex]

∴ [tex]m=\frac{18}{72}[/tex]

∴ [tex]m=\frac{1}{4}[/tex]

The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]

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Answer:

Step-by-step explanation:

The coordinates for the points of intersection of the line y=-1.5x + 3 with the coordinate axes are (0,3) for y-axis and (2,0) for the x-axis.

To find the points of intersection of the line with the coordinate axes, we will set the values of y and x to zero separately. So, let's start from the intersection of the line with the y-axis. For this, we set x=0 in the equation y = -1.5x + 3. Thus, y = 0*(-1.5) + 3 which gives us y = 3. So one point of intersection is (0,3). Next, finding the x-intercept requires setting y=0, which gives 0 = -1.5x + 3. Solving this equation, we get x = 3 / 1.5 or x=2. Hence, the other point of intersection is (2,0). Therefore, the coordinates for the points of intersections are (0,3) and (2,0).

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Answer:

5n = 30 + 3(n - 4)

Step-by-step explanation:

Final answer:

By adding the distance from A to M to A's coordinate, we find that M's coordinate is 1.

Explanation:

The question asks to find the coordinate of point M on a number line where point A has a coordinate of −1.5, point B has a coordinate of 6, and the ratio of the distances AM to MB is 1:2. To solve this, we first identify that AM and MB are segments on the number line with point M somewhere between A and B. Since AM:MB = 1:2, we know that for every unit distance from A to M, there are 2 unit distances from M to B.

The total distance between A and B is 6 - (−1.5) = 7.5 units. Dividing this distance in the ratio 1:2, implies that AM takes up one-third of the total distance and MB takes up two-thirds of the total distance. Therefore, AM = ¼ * 7.5 = 2.5 units. Adding this distance to the coordinate of A gives us the coordinate for M: −1.5 + 2.5 = 1. So, the coordinate of point M is 1.

Answer:

8/3

Step-by-step explanation:

Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that

(x^2)(3)=(16-4x)(4)

3x^2=64-16x

3x^2+16x-64=0

(3x-8)(x+8)=0

Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.

The value of x = 8/3 and this can be determined by forming the quadratic equation using the given data and then factorizing it.

Given :

The quadratic equation that represents the given situation is:

[tex](x^2)\times 3 = (16-4x)\times 4[/tex]

Simplify the above quadratic equation.

[tex]3x^2= 64-16x[/tex]

[tex]3x^2+16x - 64=0[/tex]

Now, factorize the above equation.

[tex]3x^2+24x-8x - 64=0[/tex]

3x(x+8) - 8(x + 8) = 0

(x + 8)(3x - 8) = 0

x = -8 will be rejected because x is always positive. So, the value of x = 8/3.

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The value of A that will satisfy the equation (-3/4 + 4/3) + A = 0 is -7/12 after finding a common denominator and simplifying the fractions.

To find the value of a that will make the equation (-3/4 + 4/3) + a = 0 a true statement, we need to first simplify the fraction part of the equation.

Let's find a common denominator for the fractions, which is 12. Converting both fractions, we get:

Now, adding these two fractions we have:

-9/12 + 16/12 = 7/12

So, the equation now is:

7/12 + a = 0

To solve for a, we need to isolate a on one side of the equation:

a = -7/12

Therefore, the value of a that makes the equation true is -7/12.

Answer:

85.75 cubic units

Step-by-step explanation:

You got the formula [tex]V=2s^3[/tex] and you know that s = 3.5 units

The only thing you need to do is to substitute the value of s in your formula. This is

[tex]V= 2(3.5)^3[/tex]

And you need to do all the operations

[tex]V= 2(3.5)^3 = 2(42.875) = 85.75[/tex]

And your answer is D

The value of V for s = 3.5 units is,

⇒ V = 85.75 cubic units

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units as,

⇒ V = 2s³

Here, We have;

s = 3.5 units

Hence, We get;

⇒ V = 2s³

⇒ V = 2 × 3.5³

⇒ V = 85.75 cubic units

Thus, The value of V for s = 3.5 units is,

⇒ V = 85.75 cubic units

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It would be 7 units because when you put down the points and you draw a diaganal line between the two points and it crosses 7 intersections.

Hope you stay safe and this answer helps you.

Kyla has to babysit for 9.55 hours to earn $52.50 so that she can buy the dress.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The dress costs $52.50 more that Kyla has, so she has to earn that much money by babysitting so that she can have the full amount of that dress.

Kyla charges $5.50 for an hour.

So, for $52.50 she has to work for 52.50 divided by 5.50;

52.50/5.50 hours

= 9.55 hours

Therefore, Kyla has to babysit for 9.55 hours to earn $52.50 so that she can buy the dress.

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Answer:

Physical force is ur answer mate

Hope it helps.

Answer:

We are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.

Step-by-step explanation:

Because when we break apart a number by placing values to multiply like when we do in partial products, we are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.

Check below that Partial Products example:

[tex]46*32=\\46=(40+6)\\32=(30+2)\\(40+6)(30+2)=1200+80+180+120[/tex]

Breaking a number apart by place values then multiply gives the same product as multiply the numbers directly because under multiplication condition, each digit in a number multiplies every other digit in the other value.

Using the expression as an example :

(17 × 12)

17 = 10 + 7 (tens and unit respectively)

12 = 10 + 2 (tens and unit respectively)

17 × 2 = (10 + 7)(10 + 2)

Therefore, the product will give the same result always.

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The problem involves mathematical inequalities. We translate the sentence into the inequality 3x - 5 ≥ 16 and solve for 'x', resulting in 'x ≥ 7'. Thus, the number must be 7 or any number above 7.

The student's question involves mathematical inequalities. To solve it, let's use 'x' to represent the unknown number in the problem. The question can therefore be translated into the following inequality: 3x - 5 ≥ 16. To find 'x', follow these steps:

So, the original sentence 'three times some number decreased by five is no less than 16' is equivalent to the inequality 'x ≥ 7'. Hence, the number must be 7 or any number greater than 7.

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Answer:

A. [tex]f(x)=-4|x+2|+3[/tex]

Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is [tex]f(x)=|x|[/tex] with vertex at (0,0)

We can see that the vertex of our given function is at [tex](-2,3)[/tex]. This means that our function is shifted to left by 2 units. We can represent this information as: [tex]f(x)=|x--2|=|x+2|[/tex]

We can also see that our graph is reflected across x-axis, so after reflection our function would be [tex]f(x)=-|x+2|[/tex]

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be [tex]f(x)=-|x+2|+3[/tex].

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be [tex]f(x)=-4|x+2|+3[/tex].

Therefore, option A is the correct choice.

Answer:

Step-by-step explanation:

The expression we have to find must include the total number of plants.

According to the problem, Stephanie has 2 rows of tomatoes with 5 tomatoes each, that means she has 10 tomato plants, so the expression must have 10 as a term.

You can see already that the only option that has 10 as a term is option A. Therefore, that's the right answer.

In addition, the other plant is represents by 7x, because the problem states that she planted squash in rows of 7 plants, where x expresses rows.

Answer:

[tex]\sqrt{\frac{7}{11} }[/tex]

Step-by-step explanation:

The right expression of the question is

[tex]\frac{\sqrt{7} }{\sqrt{11} }[/tex]

The simplest radical form of this expression is obtained by applying the right property, which is about the quotient between radicals. According to this property, the quotient of radical is equal to the radical of the quotient, that is

[tex]\frac{\sqrt{7} }{\sqrt{11} }=\sqrt{\frac{7}{11} }[/tex]