Your purchase of CDs and DVDs has a total of 7 items. CDs cost $9 eachand DVDs cost $15 each. The total purchase costs $87. Write and solve asystem of linear equations to find the number r of CDs and the number yof DVDs that you purchased.

Answer:

(a) He would need 76 feet of fencing

(b) Kevin should buy the packaged box of 90 feet of fencing for $950.

(c) How much does he save?

For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

Step-by-step explanation:

(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?

From the question, we are told that the swimming pool measures:

14-1/2 feet wide and 23-1/2 feet long.

Perimeter of a fence = 2(L + W)

= 2( 14-1/2 + 23-1/2)feet

= 76 feet

This means he need 76 feet of fencing.

(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?

If : For cut to order fencing

1 foot = $12.40

76 feet =

Cross Multiply

= 76feet × $12.40/1 foot

= $942.4

This means that the cut to order fencing would cost him $942.40

The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .

Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.

How much money does he save?

For the cut to order box

1 feet = $12.40

For the packaged fence,

90 feet = $950

1 feet = x

= 950/90

= $10.555555556

≈ $10.56

Hence, 1 feet of packaged fence = $10.56

Subtracting $10.56 from $12.40

= $12.40 - $10.56

=$ 1.94

Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

This means:

1 feet (packaged fence) = $10.56

76 feet = x

= 76 × $10.56

= $802.56

What happened when the stock decreased by $123?

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

Answer:

65.4°

Step-by-step explanation:

According to question

The equation is

Cos(x)=5/12

x=acos(5/12)

x=65.4°

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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LM/PQ = MN/QR = LN/PR because triangle LMN and PQR are similar.

Similar triangles are triangles that have the same shape, but their sizes may vary. The conditions for two triangles to be similar are;

1. The corresponding angles of the similar triangles must be congruent i.e they must be equal.

2. The ratio of the corresponding sides are equal. The corresponding sides are :

LM and PQ, MN and QR , LN and PR

since LM/PQ = MN/QR = LN/PR , then we can say triangle LMN and PQR are similar.

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The width of the rectangle whose perimeter is 37 cm is 6.25 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The length of a rectangle is 6 cm more than its width, w cm.

So, the length = w + 6

The perimeter of the rectangle is 37 cm.

Then, Perimeter of the rectangle = 37

2(l+ w) = 37

2( w+ 6 +w )= 37

2(2w + 6)= 37

4w + 12 = 37

4w = 25

w = 6.25 cm

and, length = w+ 6 = 6 + 6.25 = 12.25 cm

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Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:

probability = 1/2 or 50%

Step-by-step explanation:

number of red + number of green = 2 + 1 = 3

Probability of landing on a red or green = 3/6 = 1/2

Red

Step-by-step explanation:Red

9514 1404 393

Answer:

  is a function

Step-by-step explanation:

The graph passes the vertical line test, so the relation is a function of x.

Answer:

Soru gözükmüyor. Okulda kaç öğrenci var? Bunu söylersen çözebilirim.☺️

Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

Answer:

I don't see a question, so it Imma answer how it seems.

It looks like it's B. x < -6.

(You can tell bc the circle is open and the arrow is pointing left.)

I think this is right

Step-by-step explanation:

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Answer:

3.60

Step-by-step explanation:

The amount of tip will be $3.6.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.

The total amount will be calculated as:-

Amount of tip = 24 x 15%

Amount of tip = 24 x 0.15

Amount of tip = $3.6

Hence, the tip amount will be $3.6

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Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

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\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

Answer:

Magnitude of force is \(||v||\approx16.12\text{ lbs}\)

Step-by-step explanation:

\(||v||=\sqrt{x^2+y^2}\\||v||=\sqrt{(-8)^2+(14)^2}\\||v||=\sqrt{64+196}\\||v||=\sqrt{260}\\||v||\approx16.12\text{ lbs}\)

Answer:

2.5 sq. inches

Step-by-step explanation:

Explanation is given in the pic attached.

Area of triangle= 1/2* base* height

Hope this helps!

The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches

From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)

This variation is represented as:

\(\mathbf{A\ \alpha\ B \times H}\)

So, we have:

\(\mathbf{A\ \alpha\ BH}\)

Express as an equation

\(\mathbf{A\ =k BH}\)

When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:

\(\mathbf{A\ =k BH}\)

This gives

\(\mathbf{1.5\ =k \times 1.5 \times 2}\)

\(\mathbf{1.5\ =k \times 3}\)

Divide both sides by 3

\(\mathbf{\frac 12 =k }\)

Rewrite as:

\(\mathbf{k = \frac 12}\)

When the base is 2 inches and the height is 2.5 inches, we have:

\(\mathbf{A\ =k BH}\)

This gives

\(\mathbf{A = \frac 12 \times 2 \times 2.5}\)

\(\mathbf{A = 2.5}\)

Hence, the area of the flag is 2.5 square inches

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Answer:

96 is the answer and it has always been the answer

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

ima say its a that is my lucky guess im sorry if you get it wrong