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3 years ago

To make five apple pie’s you need about 2 pounds of apples. How many pounds of apples do you need to make 20 apple pies

Mathematics

2 answers:

DedPeter [7]3 years ago

7 0

20 apples / 5 apple pies = 4

4 * 2 pounds = 8 pounds

Hope this helps!

Vsevolod [243]3 years ago

3 0

To solve this problem, we should set up a proportion. Let's let the unknown number of pounds of apples we need be represented by the variable x. Our proportion should be:

2 pounds of apples/5 apple pies = x pounds of apples/20 apple pies

Because our units are the same on both sides of the equation, we can eliminate them and keep the numbers only.

2/5 = x/20

Next, we can begin to solve this equation by cross multiplication. To cross-multiply, you multiply the numerator of one fraction by the denominator of the other fraction and set it equal to the product of the other numerator and denominator. This is modeled below:

2 * 20 = 5 * x

To simplify, we begin by performing the multiplication on both sides of the equation.

40 = 5x

Next, we should divide both sides of the equation by 5, so that we can get the variable x alone on the right side of the equation.

x = 8

Therefore, your answer is that you need 8 pounds of apples to make 20 apple pies.

Hope this helps!

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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0

3 years ago

Find the perimeter of the figure shown to the right.

tia_tia [17]

Step-by-step explanation:

that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.

and that clearly means to just add all side lengths.

that's it.

so, 25 + 18 + 18 + 20 + 17 = 98 ft

was there any other problem with this you did not understand ?

8 0

2 years ago

A line that passes through 2 or more lines are called a?<br>

11Alexandr11 [23.1K]

Answer:

transversal

Step-by-step explanation:

1. In geometry any line which passes through or intersects 2 or more line are called a transversal.

2.Transversal are generally used in geometry of Euclidean plane to decide whether the given set of lines through which transversal passes are parallel or not.

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3 years ago

Help......................................

Sergeu [11.5K]

Yep that’s correct

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3 years ago

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