what is 60,978 in expanded form

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

B.

Step-by-step explanation:

B is the least expensive

Answer:

wouldn't it be 90 degrees?

Step-by-step explanation:

Answer:

x=2, y=6

Step-by-step explanation:

Answer:c=35

Step-by-step explanation:

i just did this

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

To solve more questions on functions and expressions, visit the link-

brainly.com/question/30361146

#SPJ1

The function notation for A would be A(x) = y

From the question, we have the following parameters that can be used in our computation:

This means that

The function can be expressed as

y = A(x)

This implies that:

The function A relates x and y

Read more about function at

https://brainly.com/question/1415456

#SPJ1

Complete question

A is a relationship between two variables x and y such that every input x produce exact one output y​. What is the function notation of A

Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.

To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.

Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.

So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:

According to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.

Note: This question is incomplete. Here is the complete information:

Learn more about recipes in: https://brainly.com/question/31131252

#SPJ1

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

For more similar questions on whole number

brainly.com/question/1852063

#SPJ8

Answer:

\( {y}^{3} + 3\)

Step-by-step explanation:

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 3 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

The surface area of the middle-sized figure whose largest figure is 7 inches tall is 208 in².

The length of the largest figure is 7 in

Each of the other figures is 1 inch shorter than the next larger figure.

The length of the smallest figure will be 1 in

The scale factor of the smallest figure is 1/7

Similarly,

The length of the figure in the middle will be 4 in

The scale factor of the smallest figure is 4/7

So the surface area of the middle-sized figure = 637 ×4/7 ×4/7×

The surface area of the middle-sized figure = 208 in²

To know more about surface area click here :

https://brainly.com/question/29101132

#SPJ1

Answer:

what's the question? ke

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

39.75

Step-by-step explanation:

First, subtract 50 from both sides

200z + 50 - 50 = 8000 - 50

200z = 7950

Then isolate the variable by dividing both sides by 200

200z/200 = 7950/200

z=39.75

The number of routes that Paula can take using graph theory is; E: 4

We will observe that out of the 12 cities, 6 of them possess 3 edges going in/out of them.

The 6 cities are such that there are 2 at the top, 2 at the bottom, and 1 on each side.

In graph theory terms, we can say that they are of degree 3.

Thus, at least 1 edge connecting to each of these cities cannot therefore be used. Furthermore, the same concept applies to the start and end points, due to the fact that we don't want to return to them.

There are 6 + 2 = 8 vertices that we can tell have 1 unused edge, and then we have 17 - 13 = 4 unused edges to work with due to the fact that we have 17 edges in total, and as such must use exactly 13 of them).

Finally, we notice that at each of the 2 cities marked with an O on a path in the image attached, that there are 2 possibilities such that it's either we continue straight and cross back over that same path later, or we will make a left turn, and then turn rightward when we approach the junction again.

This gives us a total of;

2 * 2 = 4 possible different routes

Read more about Number of routes at; https://brainly.com/question/13209100

#SPJ1

a. the area of the shaded region is 8.1879 cm²

b. the height of the triangle is 10.0708 cm

Since the shaded region is a segment, we need to find the area of the shaded region.

Area of the shaded region A = area of sector, A' - area of triangle, A"

Area of sector, A' = Ф/360 × πr² where

So, substituting the values of the variables into the equation, we have

A' = Ф/360 × πr²

= 46/360 × π(14 cm)²

= 46/360 × 196πcm²

= 9016π/360 cm²

= 25.0444π cm²

A' = 78.6793 cm²

So, the area of the sector is 78.6793 cm²

Area of triangle, A" = 1/2r²sinФ where

So, substituting the values of the variables into the equation, we have

A" = 1/2r²sinФ

= 1/2 × (14 cm)²× sin46°

= 1/2 × 196 cm² × 0.7193

= 98 cm² × 0.7193

A" = 70.4914 cm²

The area of the shaded region A = area of sector A' - area of triangle, A"

= 78.6793 cm² - 70.4914  cm²

= 8.1879 cm²

So, the area of the shaded region is 8.1879 cm²

Using SOHCAHTOA in the triangle,

sin46° = h/14 cm

So, h = 14 cm × sin46°

= 14 cm × 0.7193

= 10.0708 cm

So, the height of the triangle is 10.0708 cm

Learn more about area of shaded region here:

https://brainly.com/question/9243431

#SPJ1

Answer:

14/50 or 7/25

Step-by-step explanation:

cos x = adj/hyp

adj = 14

hyp = 50

---------

you ca learn more about trig

sin x = opp/hyp

tan x = opp/adj

The value of the trigonometric ratio, cos x in a right angle triangle XYZ is   \(\dfrac{14}{50}\).

Trigonometric ratios – The relation between the angles and the sides of a right-angle triangle is called Trigonometric ratios.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given figure a right-angle triangle XYZ we know that

ZY is the length of the perpendicular. XY is the base of the triangle and  ZX is the hypotenuse.

By trigonometric ratio, we know that

\(Cos \Theta = \dfrac{adjacent}{hypotenuse}\)

Where \(\Theta\) is the acute angle between the base and the Hypotenuse

On substituting value,

\(Cos \Theta = \dfrac{14}{50}\)

The value of the trigonometric ratio, cos x in a right angle triangle XYZ   \(\dfrac{14}{50}\).

Learn more about Trigonometric ratios here:

https://brainly.com/question/25122825

#SPJ2

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

Learn more about expression at https://brainly.com/question/1859113

#SPJ1

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

See the file attached!!

Hope it helps:)

Rate of change for Carol's = 4.99

Rate of change for Wilma's:

line passes through (0, 0) and (2, 15)

slope = m = (15 - 0) / (2 - 0) = 7.5

Rate of change for Wilma's = 7.5

7.5 > 4.99

So Wilma's has the greatest rate of change.

Answer:

step 10 5 to the 10th power

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

The expression (r-s)(x) is 4x² - x + 5, (r.s)(x) is 4x³ - 20x² and value of (r-s)(-1) is 10.

To find the expression (r-s)(x), we subtract the function s(x) from the function r(x):

(r-s)(x) = r(x) - s(x)

Substituting the given functions, we have:

(r-s)(x) = 4x² - (x-5)

Simplifying further:

(r-s)(x) = 4x² - x + 5

To find the expression (r.s)(x), we multiply the functions r(x) and s(x):

(r.s)(x) = r(x) × s(x)

Substituting the given functions, we have:

(r.s)(x) = (4x²)×(x-5)

Expanding and simplifying:

(r.s)(x) = 4x³ - 20x²

Now, let's evaluate (r-s)(-1) by substituting x = -1 into the expression (r-s)(x):

(r-s)(-1) = 4(-1)² - (-1) + 5

(r-s)(-1) = 4 - (-1) + 5

(r-s)(-1) = 4 + 1 + 5

(r-s)(-1) = 10

Therefore, (r-s)(-1) equals 10.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

Answer:

O.5 cents each

Step-by-step explanation

You have to multiply 75 by 0.15

The solution to given equations:

1. 1/5a = 3.1      =>    a = 15.5

2. 3r/4 = 12      =>     r = 16

3. 6 = x/100     =>     x = 600

4. X/2 = 3        =>      X = 6

In this question we have been given some equations.

We need to solve given equations.

1.

1/5a = 3.1

1/5 * a * 5 = 3.1 * 5

a = 15.5

2.

3r/4 = 12

3r/4 * 4/3 = 12 * 4/3

r = 4 * 4

r = 16

3.

6 = x/100

x = 6 * 100

x = 600

4.

X/2=3

X = 3 * 2

X = 6

Therefore, the solution to given equations:

1. 1/5a = 3.1      =>    a = 15.5

2. 3r/4 = 12      =>     r = 16

3. 6 = x/100     =>     x = 600

4. X/2 = 3        =>      X = 6

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

Answer: a. y=3      slope = 0

b. x=-4 slope does not exist

Step-by-step explanation:

Let's use pythagorean theorem to calculate the remaining side:

The area of a square is given by: