a recipe called for the ratio of sugar to flour to be 5 to 1 if you use 35 ounces of sugar how many ounces of flour do you need

Talja [164]

Answer:

1. rational number

2. a positive rational number

Step-by-step explanation:

A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.

The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.

3 0

3 years ago

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Two chords intersect in the interior of a circle. One chord is divided into two segments measuring 8 units and 9 units. The othe

Tems11 [23]

Answer:

Step-by-step explanation:

1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .

3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

8 0

3 years ago

Write an expression that has four terms. Your expression should have three different variables and a constant

raketka [301]

4m+5a+x-6 this is just one example you could switch it around it even use different numbers but that expression does have 4 terms, three different variables, and one constant, hope this helps:)

8 0

3 years ago

Webwork Homework Help; If you but that link that leads to a virus i'm reporting your account!

Darya [45]

9514 1404 393

Answer:

f(x) = sin(0.62832(x +1))

Step-by-step explanation:

The period of the function is the difference between x=4 and x=-6, which is 10 units. Then the horizontal scaling needs to be such that when x changes by 10, the argument of the sine function changes by 2π. That scaling will make it ...

f(x) = sin(2π(x/10)) = sin(πx/5)

The upward zero-crossing is seen to be at -1, so this function has been shifted left 1 unit. This requires we replace x with x+1:

f(x) = sin(π/5(x +1))

If we use the given numerical value for pi, this becomes ...

f(x) = sin(0.62832(x +1))

8 0

3 years ago

A rectangular turtle aquarium is 6 ft long by 4 ft wide. The aquarium is enlarged by increasing

My name is Ann [436]

Answer:

8ft x 6ft

Step-by-step explanation:

For this problem, we want to create measurements of length and width that double our current area. First we need to find the current area.

C_Length = 6 ft

C_Width = 4 ft

C_Area = C_Length * C_Width

C_Area = 6 ft * 4 ft = 24 ft^2

Now we want our new area to be double the old area.

N_Area = 2C_Area

N_Area = 2 * 24 ft^2

N_Area = 48 ft^2

Now we simply need to find the increase in width and length, distributed equally, that will create the new area.

N_Area = (C_Length + x) * (C_Width + x)

Where x is the amount that each variable is increased by to create the new area.

Now we simply solve for x.

N_Area = (C_Length + x) * (C_Width + x)

48 = (6 + x) * (4 + x)

48 = 24 + 10x + x^2

0 = -24 + 10x + x^2

Now we can either apply the quadratic formula or attempt to factor using the constant break down method.

(x + 12) (x - 2) = 0

x = -12; x = 2

Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.

Now we can check to validate our answer by plugging in the value of x.

48 ?= (6 + 2) * (4 + 2)

48 ?= (8) * (6)

48 == 48

Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.

Cheers.

6 0

3 years ago