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4 years ago

Find the next item in the pattern. Z, Y, X,...

Mathematics

2 answers:

bonufazy [111]4 years ago

8 0

Answer:

In the pattern ,alphabets are arranged from the opposite direction.

Igoryamba4 years ago

5 0

Answer:

Explanation:

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Sharon bought 6 new folders for $0.75 each and 15 pens that were priced at 5 for $1.45. What is the total amount she spent?

Alja [10]

5.95 for everything 4.5 add 1.45

5 0

3 years ago

Three of Santas helpers are a combined height of 11 feet and 6 inches. Clem is 15 inches shorter than Clyde who is 6 inches tall

Tresset [83]

Answer:

Clem's Height =38 Inches

Clyde's Height= 53 Inches

Chloe's Height = 47 Inches

Step-by-step explanation:

Let Clem's height be x, Clyde's height be y and Chloe's height be z

As given

x+y+z=11 feet 6 inches

As 1 Foot= 12 Inches so (11*12+6)=138

x+y+z= 138 inches (Equation 1)

Clem is 15 inches shorter than Clyde so:

x+15=y (Equation 2)

Clyde is 6 inches taller than Chloe

z=y-6 (Equation 3)

Putting z's value from equation 3 in equation 1

x+y+y-6=138

x+2y=138+6

x+2y=144 (Equation 4)

Putting Value of y from equation 1 in equation 4

x+2(x+15)=144

x+2x+30=144

3x=144-30

x=114/3

x=38

Putting x's value in equation 1 to get the value of y

38+15=y

y=53

Putting value of y in equation 3

z=53-6

z=47

Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not

38+53+47=138

138=138

3 0

4 years ago

Find three consecutive odd integers where the sum of the two largest is seven less than three times the smallest.

Basile [38]

Answer:

Step-by-step explanation:

x - an integer then 2x + 1 is an odd number (the smallest one)

consecutive odd numbers increase by 2

so the next odd number (the middle number) is:

2x + 1 + 2 = 2x + 3

and the third (the largest) consecutive is:

2x + 3 + 2 = 2x + 5

the sum of the the two largest numbers is:

2x + 3 + 2x + 5

3 times the smallest number is:

3(2x + 1)

the sum of the two largest is seven less than three times the smallest, so:

2x + 3 + 2x + 5 = 3(2x + 1) - 7

4x + 8 = 6x + 3 - 7

-6x -6x

-2x + 8 = -4

-8 -8

-2x = -12

÷(-2) ÷(-2)

x = 6

2x+1 = 2•6+1 = 13

2x+3 = 2•6+3 = 15

2x+5 = 2•6+5 = 17

Check:

2x+3+2x+5 = 15+3+15+5 = 38

38+7 = 45

45÷3 = 15

5 0

4 years ago

Factor the polynomial completely using the X method. X2 11x 24 An x-method chart shows the product a c at the top of x and b at

Bezzdna [24]

The factored form of the considered polynomial is $(x+3)(x+8)$

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form

$ax^2 + bx + c$

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

For the considered polynomial, we've got the quadratic expression as:

$x^2 + 11x + 24$

Comparing this with $ax^2 + bx + c$ , we get:

a = 1 (since $x^2 = 1\times x^2$ )
b = 11
c= 24

Therefore, we have : ac = c = 24

Two numbers whose multiplication gives 24 and and whose addition gives 11.

24 = $2 \times 2 \times 2 \times 3$

If we take first three 2s, and 3, then:

$24 = 8 \times 3 = (2 \times 2 \times 2) \times 3\\11 = 8 + 3 = (2 \times 2 \times 2) + 3$

Thus, we need to write 11 in the middle in terms of 8 and 3:

$x^2 + 11x + 24 = x^2 + 8x + 3x + 24 = x(x+8) + 3(x+8) = (x+3)(x+8)$

Thus, the factored form of the considered polynomial is $(x+3)(x+8)$

Learn more about factors of a quadratic equations here:

brainly.com/question/26675692

8 0

3 years ago

117 is what percent of 144.3

12345 [234]

Answer:

81.25

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers