Question 5
Thank you

Step-by-step explanation:

Let the amount of wheat is x and amount of corn is y.

The total amount of pasta is

Amount of protein in same pasta is

or

The graphical solution is attached

It is easy to solve the system by substitution

Then the value of y is

As we see x > y, so Leila is right

The above problem is solved using Multiple Representations.  Multiple representations are used to achieve a deeper comprehension of concepts related to the same operation.

We can arrive at whether the statement is true or false by solving for the value of Y using the graphical method. Where Y is the amount of wheat and X is the amount of corn.

Our function is given as follows:
X + Y= 57. ..........1

Recall that the total amount of pasta is 57 grams

Recall as well that the total amount of protein in the pasta is given as:

0.05x + 0.1y= 4grams.......2

By inputting equations 1 and 2 into the Desmos Graph, we have x to be equal to = 34, and y = 23. (please see the attached image).

Recall that Leila's assertion was that there is more corn in the Pasta. Since x is the amount of corn, then Leila's assertion is True that: x>y.

The algebraic solution is arrived at using substitution.

Rewriting equation (1), we have

y = 57 - x .......................(3)

Let us substitute y into equation (2) above. That gives us:

0.05x + 0.1(57 - x) = 4.........................(4)

Expanding the brackets, we obtain

0.05x + 5.7 - 0.1x = 4

Collecting like terms, we can rewrite the quation as:

0.1x - 0.05x = 5.7 - 4

0.05x = 1.7

Rewriting the equation such that it is subject to x, we have

x = 1.7/0.05

x = 34

If from the above, x = 34, inputting that into equation (3) above, we have

y = 57 - 34; Therefore,

y = 23

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Answer:

1/36

Step-by-step explanation:

The chance of you rolling a 5 is 1/6

While the chance of you rolling a 3 is a 1/6

If you want both a 5 then a 3 then you multiply the fractions

1/6 * 1/6 = 1/36

This is the  Answer :

true

Answer:

b) 7.9968 × 1013 miles

Step-by-step explanation:

So one light-year equals 588 × 10^10

13.6 light-years equals 13.6 × 588 × 10^10 = 79968 × 10^9 = 7.9968 × 1013 miles

Answer:

2923 is your p is equal to 2 and n

Answer:

The answer is 65

Step-by-step explanation:

As تھ measure of angles of rectangle is 90

So 90-25 is equal to 65

Answer:

(5, 5) and (6, 1)

Step-by-step explanation:

Solutions to the system of inequalities are any points that are in the overlapped shaded region.

For example (5, 5) and (6, 1)

Find the equations of the two lines.

Blue line

Two points on the line: (-5, 8)  and  (0, -7)

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-7-8}{0-(-5)}=-3[/tex]

Point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies \sf y-(-7)=-3(x-0)[/tex]

[tex]\implies \sf y=-3x-7[/tex]

As the shading is above the line, and the line is dashed:

[tex]\sf y > -3x-7[/tex]

Red line

Two points on the line:  (0, -9)  and  (2, 1)

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{1-(-9)}{2-0}=5[/tex]

Point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies \sf y-(-9)=5(x-0)[/tex]

[tex]\implies \sf y=5x-9[/tex]

As the shading is below the line, and the line is solid:

[tex]\sf y\leq 5x-9[/tex]

[tex]\sf Inequality\:1: y > -3x-7[/tex]

[tex]\sf Inequality\:2:y\leq 5x-9[/tex]

Point (5, 5)

[tex]\sf Inequality\:1\implies -3(5)-7=-22 < 5\: \implies\:true[/tex]

[tex]\sf Inequality\:2\implies 5(5)-9=16 > 5\: \implies\:true[/tex]

Point (6, 1)

[tex]\sf Inequality\:1\implies -3(6)-7=-25 < 1\: \implies\:true[/tex]

[tex]\sf Inequality\:2\implies 5(6)-9=21 > 1\: \implies\:true[/tex]

Answer:

using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.

Answer:

54

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (6)(18)

A = 1/2 (108)

A = 54

Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.

A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.

The area of triangle is 1/2×Base×Height

Half base times of height

Area of triangle=1/2×6×18

=54 square units

Area is 54 square units.

Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.

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Answer:

a) m problems, d days to complete.

m/d

b) m/15d

c)-if 15 was connected; 15d

if 15 WAS NOT connected, m problems

No thousands, just 70

Answer:

seven

Step-by-step explanation:

Answer:

its A and D dont listen to the other person lol

W

Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.

In this problem, the order in which the flags are visited is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

[tex]P_{(14,7)} = \frac{14!}{7!} = 17,297,280[/tex]

There are 17,297,280 different signals consisting of 8 flags.

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Answer:

76 percent.

Step-by-step explanation:

Answer:

f(0)=6

Step-by-step explanation:

It should be the third one because it is the only one that has the x-value in the parentheses and equals the y-value. (I think please someone back me up)

To find the slope ⇒ we must know the formula

   Formula = [tex]\frac{y2-y1}{x2-x1}[/tex]

Now let's solve and plug the known variables

     Slope = [tex]\frac{8-(-4)}{3-3} =\frac{12}{0}[/tex]

Nothing can be divided by zero

   ⇒ in this case, the slope is undefined

    *interesting fact: the line is vertical

Hope that helps!

Answer:

7

Step-by-step explanation:

We can setup this equation as x representing his number.  (x+13) * 3 = 9x -3.

Now, we just need to solve for x.  

3(x+13)=9x-3

x+13=3x-1

14=2x

x=7

Answer:

Angle BFC is complimentary to AFB. Its measure is 12.

Step-by-step explanation:

Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.

Answer:

Step 1. Plot x and y-intercepts

Step 2. Draw a line through the points

m, rise over run = -1/2

b, y-intercept = (0, -2)

x-intercept = (-4, 0)

m, rise over run = -1/3

b, y-intercept = (0, -4)

x-intercept = (-12, 0)

Hope this helps! Good luck!

The given double integral results [tex]\frac{e^8-1}{4e^8}=0.25[/tex]

The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.

For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:

Changing the order integration

[tex]\int _0^2\int _0^xe^{-2x^2}dydx[/tex]

[tex]\int _0^2xe^{-2x^2}dx[/tex]

[tex]\frac{e^8-1}{4e^8}=0.25[/tex]

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

[tex]4x+6y=44\\-4x-2y=-28[/tex]
_____________

       [tex]4y=16[/tex]

[tex]y=16/4 =4[/tex]

Replace "y" in the first equation:

[tex]4x+6(4)=44[/tex]

[tex]4x+24=44[/tex]

[tex]4x=44-24[/tex]

[tex]x=20/4=5[/tex]

Hope this helps

Answer:

x = 5, y = 4.

Step-by-step explanation:

4x + 6y = 44        (A)

4x + 2y = 28        (B)

Subtract equations: (A) - (B).

0 + 4y = 16

y = 16/4

y = 4.

Now plug y = 4 into equation A:

4x + 6(4) = 44

4x = 44 - 24

4x = 20

x = 5.

Now check if these roots are correct by plugging them into equation B:

4x + 2y = 28

4(5) + 2(4) = 28   - check OK.

Answer:

-46

Step-by-step explanation:

when a= 6 and ×=-5

-a + 8×= -6+8×-5

= -6+(-40)= -6-40= -46

Answer:

56

Step-by-step explanation:

1) Add together all numbers. 30+45+50+75+80 = 280.

2) Divide result by amount of numbers. 280/5 = 56

3) You are welcome. :)

On an average, you sold 56 unit per, day.

A number that is calculated by adding quantities together and then dividing the total by the number of quantities.

Given that, Last week you sold 30, 45, 50, 75, and 80 units each day of the week.

To find the average, we will, first add together all numbers and then divide the result by the sum of numbers.

Therefore,

Adding together all numbers = 30+45+50+75+80 = 280.

Divide result by amount of numbers =  280/5 = 56

Hence, On an average, you sold 56 unit per, day.

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Answer:

Yes and yes

Step-by-step explanation:

Answer:

circumference = 31.43 cm

Step-by-step explanation:

circumference = 2πr = 2 × 22/7 × 5 = 220/7

= 31.43 cm

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]

where,

now, let's calculate circumference ~

[tex]\qquad \tt  \dashrightarrow \:c = 2 \times \pi \times 5[/tex]

[tex]\qquad \tt  \dashrightarrow \:c = 10 \pi \: \: cm[/tex]

Now, let's plug in approximate value of pi :

[tex]\qquad \tt  \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]

[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]

Answer:

60 feet?

Step-by-step explanation:

The area covered with grass, in square feeet, is the area of the shape of the yard.

The area of a yard can be calculated by determining the shape of the yard, and using the appropriate area formula of the shape to find the area of the yard.

Image of the yard is missing. However, assuming the yard is a rectangular shape with a dimension of 10 ft by 6 ft, therefore:

The square feet of grass Russell has = area of rectangle = (10)(6) = 60 ft²

In summary, the area covered with grass, in square feeet, is the area of the shape of the yard.

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