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lilavasa [31]
3 years ago
10

a recipe includes 8 cups of flour and two third cups of shortening. write the ratio to the amount of flour to the amount of shor

tening as a ratio in simplest form?
Mathematics
1 answer:
Paul [167]3 years ago
8 0
8:2/3 because you can't go lower than 2/3
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Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.
Marianna [84]

Answer:

<em>1, 2, 3, 6</em>

Step-by-step explanation:

The given equation is,

\Rightarrow ax = 6

\Rightarrow x = \dfrac{6}{a}

We need to to find all the whole values of a for which the solution of the equation i.e x will be a whole number.

We know that when a number is divided by one of its factor it leaves a remainder of 0 or the result we get is a whole number.

That is why, we need a as one of the factors of 6, i.e 1, 2, 3, 6 in order to get x as a whole number.

7 0
3 years ago
An airplane leaves an airport at 9:00 p.M. With a heading of 270 and a speed of 610 mph. At 10:00 p.M. The pilot changes the he
timama [110]

Answer:

2330.51 miles

Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.

So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.

As, distance = time x speed, so

The distance covered at 270 degrees, d_1 = 1\times610=610 miles.

The distance covered at 310 degrees, d_2 = 3\times610=1830 miles.

Total distance covered, d, is the magnitude of the sum of vectors \vec{d_1} and \vec{d_2} as shown in the figure.

The angle between the vectors \vec{d_1} and \vec{d_2}, \theta=310-270=40 degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}

\Rightarrow d=2330.51 miles

Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.

4 0
3 years ago
A triangle with sides of lengths 16, 30, and 35 is a right triangle. O A. True O B. False ​
Afina-wow [57]

Answer:

B false

Step-by-step explanation:

The Theorem states that for a right triangle,

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the two shorter sides.

So does our given lengths work? Let's see:

16^2+30^2=35^2

256+900=1225

1156=1225

1156≠1225

And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.

6 0
3 years ago
Read 2 more answers
What’s 25/36 as a decimal and percent please show work
9966 [12]

Answer:

0.694444444

Step-by-step explanation:

just divide the top from the bottom-

3 0
2 years ago
Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including tax
ra1l [238]
67.65 + 57.93 = 125.58

200.00 - 125.58 = $74.42 change back
3 0
3 years ago
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