Solve for r.
r - 15 / -1 = -4

Answer:38

Step-by-step explanation:

The value of x is 5 yards and the length and width of the garden is 20 yards and 12 yards respectively.

Given, the school has 64 yards of fencing for the rectangular garden.

we know that, the perimeter of the rectangle is the sum of twice the length and twice the width.

length (l) = x²-5

width (w) = 4x-8

therefore, 2(l+w) = 64

⇒ 2(x²-5+4x-8) = 64

⇒ 2(x²+4x-13) = 64

⇒ 2x²+8x-26 = 64

⇒2x²+8x-26-64 = 0

⇒2x²+8x-90 = 0

divide the equation by 2.

⇒ x²+4x-45=0

⇒ x²+9x-5x-45 = 0

⇒ x(x+9) - 5(x+9) = 0

⇒ (x+9) (x-5)

⇒ x = -9 or x = 5

therefore, x cannot be negative,

hence x = 5 yards.

therefore, l = x²-5

l = 5² - 5

l = 25-5

l = 20 yards.

w = 4x-8

w = 4(5) - 8

w = 20-8

w = 12 yards.

Hence we get the value of x as 5 yards and the dimensions of the garden as 20 yards by 12 yards,

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area of the rectangle

area of rectangle is 150 sq ft, therefore the probability that a seed lands in the garden is

answer: 4/5

We can further simplify

The answers for the blank spaces are

ANSWERS

• P(2) = 11

• P(-1) = 14

• P(0) = 7

EXPLANATION

Every time we have to evaluate a function, what we have to do is replace the variable with the value and solve the operations.

Let's solve P(2),

Solve the powers first,

Then the products,

And then the additions/subtractions,

The process is the same for the other two values,

And,

Hence, P(2) = 11, P(-1) = 14 and P(0) = 7.

For a, b, and c to be the lengths of a triangle they must satisfy the following system of inequalities:

Now, notice that:

Since the given numbers do not satisfy the last inequality, then they cannot be the lengths of a triangle.

Answer: No it is not possible to construct a triangle with lengths 7, 54 and 45, because:

Answer:

The ratio of flour to butter is 3:2

Step-by-step explanation:

:]

Answer:x=3

Step-by-step explanation: if they are similar lets say for instance BD is congruent to QS.

so TP is congruent to AE and AE is three so TP has to be three.

hope this helps!

Re-write the question as :

This can further be written using factors of 24 as;

Separate as :

To solve a system of equation using elimination:

1. If it is necesary multyiply one of both equations for a number that makes each equation have an opposite term to the other equation.

In this case the equations already have opposite terms (2x and -2x)

2. Add equations:

3. Solve the variable in the result of substraction:

4. Use the value of the variable you get in the previus step to solve the other variable:

When you order a number, you must check the number most in the left. The number L and the number M for example,

L. 779.56

M. 029.7023

In the hundreds place, L has a '7', and M has a '0', this means L is bigger than M.

Doing the same procedure with the other, we get the following order:

The least common denominator of 8/( x²+11x+28 ) and -2/ (x^2+4x) is (x+4).

We have to find the least common denominator of 8/x²+11x+28 and -2/x^2+4x. We can solve this problem by following a few steps.

The denominator of both terms is, x²+11x+28 and x²+4x.

First of all, we have to find the factors of these two terms.

Let's find the factors of x²+11x+28.

x²+11x+28 = x²+11x+28

Or, x²+11x+28 = x²+ 4x+ 7x+ 28        [ we have to break the middle term in such a way as the product of consecutive terms must be 28 ]

Or, x²+11x+28 = x (x+4) +7 (x-4)        [ we have to take ( x+ 4) as acommon ]    

Or, x²+11x+28 = ( x+4 )( x+7 ).................(1)

Now find the factors of x²+4x.

x²+4x = x (x+4)..................(2)          [ We have to take x as a common ]

Therefore, the common term between (1) and (2) is ( x+4 ). So, the least common denominator is ( x+4 ).

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Answer

Volume of the prism = 960 cubic units

Explanaion:

Step 1: Divide the two prism

Volume of a rectangular prism is

l x w x h

Where l = length, w= width, and h = height

The volume = full prism - cut prism

Full prism = 16 * 10 * 8

Full prism = 1280 cubic units

Cut prism = 8 * 10 * 4

Cut prism = 320 cubic units

Volume = 1280 - 320

Volume = 960 cubic units

Answer:

3z²(4z-1)(2z-3)

Step-by-step explanation:

Factor 8z²-14z+3

8z²-14z+3 = (4z-1)(2z-3)

So 3z² (8z²-14z+3)

= 3z²(4z-1)(2z-3)

The solution is x> 4 or x ∈(4,∞)

Here equality given is

x - 1.2> 2.8

Rearrange the variable to the left side of the equation

x > 2.8 + 1.2

Calculate the sum

x > 4

Or we can also say

x ∈ (4,∞)

Therefore the range of x is x∈ (4,∞).

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Area = 40 cm^2

base = ?

height = x

Area = base * height / 2

bh = 2(40.5)

bh = 81 cm^2

81 3

27 3

9 3

3 3 height = 3 x3 x 3 base = 3

1

The height must be 27 cm and the base 3 cm.

Answer: 1/7 = 4/28 = 8/56

Step-by-step explanation: 7 timestables

Answer:

1/7=4/28=8/56

Step-by-step explanation:

From the pattern of the question we can see that the numerator of the second fraction is 4 and the previous fraction's numerator is 1 that means the fraction has been multiplied by 4. Therefore multiplying the numerator and denominator results in the answer 4/28. For the last fraction we can see that the denominator is 56 and is the double of 28 therefore doubling the whole second fraction we get our answer as 8/56. Overall equating all the three fractions we get the same answer 1/7 after minimizing the fraction.

Username: TNakashrai

The solution with a potential fraction remainder for the given fraction, 3.8/21.85, is 0.

By shifting the decimal point 1 places to the right, you can convert the divisor 3.8 to a whole number. Then, move the decimal point in the dividend by one place to the right, keeping the same position.

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

These equations follow:

218.5 ÷ 38 = 5.750

because of this:

21.85 ÷ 3.8 = 5.750

To three decimal places, both calculations.

0 0 5. 7 5 0

3 8 √2 1 8. 5 0 0

     − 0          

      2 1        

     −   0

     2 1 8      

   − 1 9 0      

      2 8 5    

   − 2 6 6    

       1 9 0  

    − 1 9 0  

       0 0

     −   0

          0

The answer is 0.

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The value of x should be equal to 23

Given

Angle at the top is 86

also equation 3x + 17

The lines are parallel

We know if a transverse line is drawn across two parallel lines then 3 types of angles would form namely Corresponding angle, alternate angle, Opposite angle.

From the geometry  the angle 86 and the equations 3x + 17 are alternative angles.

Since alternative angles are equal 86 will be equal to 3x + 17

Now equating both

86 = 3x + 17

86 - 17 = 3x

69 = 3x

x = 23

Hence the value of x is equal to 23

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Answer: x=23

Step-by-step explanation:

Im not going to bore you with long algebra but basically 86-17=3x

69=3x inverse you get 23

The statement that is true about the triangle is that D. The triangles are similar by the SSS similarity theorem.

It should be noted that congruence simply refers to a scenario where there are the same triangles.

The SSS Similarity Theorem states that two triangles are similar if all three pairs of matching sides are proportionate.

Compare the shortest sides first, followed by the longest sides, when applying the SSS Similarity Theorem. Two triangles are similar if their corresponding side lengths are proportionate to one another.

Therefore, triangle LMN and PQR are the same.

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The triangles are not similar, but they are congruent.

The triangles are neither similar nor congruent.

The triangles are similar by the SAS similarity theorem.

The triangles are similar by the SSS similarity theorem.

Answer:

d) The triangles are similar by the SSS similarity theorem.

Answer:

0.72

Step-by-step explanation:

The answer is that because all you have to do is just 2.16 divided by 3. Equalling to 0.72. Now we just have to do 0.72 + 0.72 + 0.72 and that would equal $2.16.

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Explanation

The values of the vectors are shown below

Thus

Thus to get -3(u.v) will be

The next step will be

The answer will be

Solution

Explanation:

Total Finance Needed = $40,000,000

Offer price per share = $35 per share

Charges of underwriter = 11%

Total Number of shares needed to be sold = ( $40,000,000 / $35 ) x 111%

Total Number of shares needed to be sold = 1,142,857 x 111%

Total Number of shares needed to be sold = 1,267,571 shares

The Whistling Straits Corporation needs 1,267,571 shares to raise $40 million

Answer:

-7

Step-by-step explanation:

all answers are in the picture

The result obtained from measuring length is called a linear measurement and is stated in linear units.

The linear measurement is the distance between the two objects or points. The linear measurement is a single dimension measurement

The unit of the measurement of the length is called linear units. In US system of measurements the linear units are feet, yard and inch etc..,In metric system the linear units are meter, centimeter, decimeter etc..

Therefore the result obtained from measuring length is called a linear measurement and is stated in linear units.

Hence, the result obtained from measuring length is called a linear measurement and is stated in linear units.

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Take into account that the range are all availables values of the function, that is, available values of the y coordinate in the graph.

As you can notice, such values are in the following interval:

range: (-∞,8]

the recipe needed = 58 ounces of pecans

we have 16 ounces in 2 cups,

so we need

58 - 16 = 42 ounces

so we need 42 ounces of pecans.