Mr.Ragg has 3 gallons of orange juice.How many pints of carrot juice does he have?

To solve the apple picking problem, we assigned variables and formulated an equation based on the relationships between the amounts each person picked. Solving the equation revealed that Andrew picks 252 pounds of apples.

Let Maria's apple pick be x pounds. According to the question, Andrew picks three times as many apples as Maria, which makes Andrew's pick 3x pounds. Jane, on the other hand, picks two times as many apples as Andrew, resulting in Jane's pick being 2(3x) or 6x pounds. Now, we know that the total weight of the apples picked by all three is 840 pounds.

We can express this as an equation:

x + 3x + 6x = 840

This simplifies to 10x = 840.

To find x, we divide both sides by 10:

x = 840 / 10

x = 84 pounds

Since Andrew picks 3x pounds, we multiply 84 by 3 to find Andrew's pick:

Andrew's pick = 3 × 84 = 252 pounds of apples.

Answer:

Option D) 5/21 pizza is left.

Step-by-step explanation:

Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of pizza then we have calculate the pizza left.

Let the size of a pizza is x. Now 2x/3 pizza is left with Bill after lunch.

Therefore pizza eaten by Bill = x - 2x/3 = x/3

Now Bill eats 3/7 more of pizza has been eaten by Bill.Therefore total pizza left is

x - x/3 - 3x/7 = x(1 - 1/3 - 3/7) = x( 21 - 7 - 9)/21 = 5x/21

So 5/21 part of pizza is left.

Andy needs 1.875 pounds or 15/8 pounds of soil to fill all his pots. This is found by multiplying the weight of soil one pot can hold (3/8 pound) with the total number of pots (5).

This question relates to the topic of multiplication in mathematics. It requires you to find the total weight of soil needed to fill all of Andy's pots. Every pot holds 3/8 of a pound of soil. To find out how much soil Andy needs, we can multiply the weight one pot can hold by the total number of pots.

Here are step-by-step instructions:

The answer will be 15/8 pounds or if you prefer decimals, 1.875 pounds of soil is needed to fill all the pots.

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The given expression '2c x 3d x e' can be simplified as '6cde'. This is done by multiplying the numbers and arranging the variables in alphabetical order.

The problem you provided: '2c x 3d x e' is an example of a mathematical expression involving alphanumeric terms. In mathematics, when alphanumeric terms are connected by multiplication as they are here, they can be treated as a single term.

To simplify the question, you just need to carry out the multiplication with the given numbers and arrange the variables alphabetically. Therefore, 2c x 3d x e can be simplified as 6cde (since 2 times 3 equals 6).

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Answer:

Table 4

Step-by-step explanation:

As we know that

A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.

Now in the fourth table the values of x and y are given as show below:

  x          y

  0.0      0.0

  1          0.5

  2          1.0

  3          1.5

As we can see as the value of x increases by 1 from its previous value the value of y increases by 0.5 from its previous value. This trend remains the same throughout the given table.

So, we can say the partial set of values given table 4 represent the Linear Function

Answer:12 pictures

Step-by-step explanation:

the answer is twelve

The value of x is 12.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔABC : ΔDEF

We can write as,

BA/AC = ED/DF

8/12 = x/18

x = (8 x 18) / 12

x = 2 x 6

x = 12

Thus,

x is 12.

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Answer:

Ques 1)

B) 3/2

Ques 2)

B) (-2,1)

Step-by-step explanation:

Ques 1)

We know that the coordinates of points S are (-2,-8)

and the coordinates of the point Q are: (8,7)

We know that the slope of a line passing segment with end points (a,b) and (c,d) are given as:

[tex]slope=\dfrac{d-b}{c-a}[/tex]

Here we have:

(a,b)=(-2,-8) and (b,d)=(8,7)

Hence, the slope is:

[tex]Slope=\dfrac{7-(-8)}{8-(-2)}\\\\Slope=\dfrac{7+8}{8+2}\\\\Slope=\dfrac{15}{10}\\\\Slope=\dfrac{3}{2}\\(Since\ both\ the\ numerator\ and\ denominator\ are\ divisible\ by\ 5)[/tex]

Hence, the slope of a line connecting point S to point Q is:

3/2.

Ques 2)

We know that solution of a system of equation is the point where the two system meet if it has a unique solution.

From the graph of the system of equation we could observe that the two lines intersect each other in the second quadrant and we know that the point in the second quadrant has x-value negative and y-value positive.

Hence, the point that is the solution of the given system of equations is:

B) (-2,1)

The solution to system of equation  y = 4x - 3 and y = - x - 13 is (- 2, - 11).

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, A system of equations y = 4x - 3 and y = - x - 13.

If we subtract these two equations,

  y = 4x  - 3

- (y = -x - 13)

__________

0 = 5x + 10.

5x = - 10.

x = -2 and hence y = - 11.

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