Justine is a wedding coordinator. She is selecting the menu options for the reception

Answers

Answer 1

Answer: What does she want on the menu

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Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did Beulah make?

Answers

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

= 121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

Final answer:

The total weight of the donuts can be found by adding together the weights of the dough, sugar, and sprinkles, which comes to approximately 2.02 pounds.

Explanation:

The total weight of the donuts Beulah made can be found by adding the weights of the ingredients - dough, sugar, and sprinkles - together. First, she used 3/5 pounds of dough, to which she added 3/4 pound of sugar. Lastly, she used 2/3 pounds of sprinkles.

Now, let's add these quantities:

3/5 + 3/4 + 2/3 = 1.2 + 0.75 + 0.67 approximately.
Alternatively use a common denominator (60 for instance) to simplify the addition:
36/60 + 45/60 + 40/60 = 121/60 =2.02 pounds approximately.

Therefore, "Beulah made about 2.02 pounds of donuts".

Learn more about Quantity Addition here:

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Solve equation 19 - h - h = -13

Answers

Answer:

h = 16

Step-by-step explanation:

to solve this equation

we are going to take cognizance of the positive and negative sign as any misinterpretation of the sign might influence our answer wrongly. Note this

negative × negative = positive

positive × negative = negative

negative × positive = negative

positive × positive = positive

so, from the question 19 - h - h = -13

19 - h - h = -13

19 -2h = -13

collect the like terms

19 + 13 = 2h

32 = 2h

divide both sides by the coefficient of h which is 2

32/2 = 2h/2

16 = h

therefore h = 16

Determine how many points the parabola has in common with the x-axis and whether it's vertex lies above, on, or below the x-axis.

Answers

Points "in common with the x-axis" are also known as the roots of the quadratic equation $x^2-12x+12=0$ . You can apply the quadratic root formula to determine the roots, and also to determine how many such roots there are. With a quadratic (whose graph is a parabola), there can be maximum of 2 roots. But under certain circumstances, there may be only one or no such root.

The root formula for a generic quadratic $ax^2+bx+c$ is as follows:

$x_(1,2)=(-b\pm√(b^2-4ac))/(2a)$

The expression $b^2-4ac$ under the square root is called the determinant. It is called so because it determines the number of real roots. If the determinant value is > 0, there will be 2 roots (and so the parabola will cross the x-axis in 2 points), if its value is =0, there will be only a single root (the the parabola will touch the x-axis in exactly one point), and, finally, if its value is < 0, the quadratic has no real root (andthe parabola will not have any x-intercepts).

So, let's take a look:

$b^2-4ac= (-12)^2-4\cdot 1\cdot12=96$

This means the parabola will intercept the x-axis at 2 points, two real roots.

Since the coefficient of the quadratic term is positive (a=1), the parabola is oriented "open-up." But since we already know the parabola intercepts in two points, the fact that it is open-up implies now that the vertex must lie below the x-axis (otherwise it could not intercept it).

Figure A is a scale image of figure b. What is the value of X?

Answers

Answer:

x = 4.4

Step-by-step explanation:

To determine the scale factor, calculate the ratio of corresponding sides, image to original, that is

$(x)/(11)$ = $(4)/(10)$ ( cross- multiply )

10x = 44 ( divide both sides by 10 )

x = 4.4

I REALLY NEED HELP PLZ!!!! PICTURE DOWN BELOW!the graph represents the last five years of computer hard drive production for Quality hard disks.
Part A
the variable T represents the time (in years). List the ordered pairs for t = 1 and t= 2
Part B
write an equation to represent the relationship between the time, t, and the number of hard disk produced ,p.

Answers

Part A:
To do this you have to find where t=1 and where 1=2. Then you have to go up the y axis (the vertical axis) until you hit a dot. For example, t=1, from t=1 you go up until you reach the dot which is located a 1,200. Then the ordered pair is (x [number of hard disks produced] ,y [time]) so it would be (1,1200)
Part B:
To do this you have to find a pattern between the x and the y coordinates. Easiest way is to divide the y by the x and see fi that works for all of the points. Example: (1,1200) 1200/1=1200 (2,2400) 2400/2=1200. Bingo! The relationship is multiple the x (t) coordinate by 1200. The equation would look like this: 1200t=p

Solve

x2 + 6x + 6 = 0