MATHEMATICS MIDDLE SCHOOL

Halle has two ribbons. The blue ribbon is 58 cm. The green ribbon is 38 cm longer than the blue ribbon.How long is the green ribbon?

Halle uses 67 cm of the green ribbon to wrap a present.
How much green ribbon is left?

Answers

Answer 1
Answer:

The green ribbon is 96 cm long and if 67 cm of the green ribbon is used to wrap a present, the amount left is 29 cm

An equation is an expression that shows the relationship between numbers or variables.

Let x represent the length of the green ribbon.

The green ribbon is 38 cm longer than the blue ribbon, hence:

x = 58 cm + 38 cm

x = 96 cm

The green ribbon is 96 cm long.

If 67 cm of the green ribbon to wrap a present, the amount left is:

Amount left = 96 cm - 67 cm = 29 cm

Find out more at: brainly.com/question/21105092
Answer 2
Answer:

Answer:

a) green ribbon is 96cm long

b) 29cm is left

Step-by-step explanation:

a) length of green ribbon = 58cm + 38cm = 96cm

b) length of green ribbon left = 96cm - 67cm = 29cm

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According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it has zeros.

Answers

Answer:

The graph f(x)=x^2-4x+3  has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph f(x)=x^2-4x+3

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation f(x)=x^2-4x+3  the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, f(x)=x^2-4x+3=0

This is a quadratic equation, x^2-4x+3=0

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0

\Rightarrow x(x-1)-3(x-1)=0

\Rightarrow (x-3)(x-1)=0

Using zero product property, a\cdot b=0 \Rightarrow a=0\ or \ b=0

\Rightarrow (x-3)=0 or \Rightarrow (x-1)=0

\Rightarrow x=3 or \Rightarrow x=1

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph f(x)=x^2-4x+3  has two zeros  namely 3 and 1.  

Answer:

2 roots

2 zeros

Step-by-step explanation:

Suppose sarah $12 left on her gift card. How would this change the equation and the final answer?

Answers

because she had the $12 dollars on their but she can only use it at a certain store

True or false? All quadrilateral are four sided figures

Answers

Answer:

True

Step-by-step explanation:

Quad means four

Hence

Every quadrilateral is a four sides figure

the answer is 'true'.....all quadrilaterals are four sided figures. Infact  four sided polygons or four sided figures are called quadrilaterls

What is rlthe volume of this graghf

Answers

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A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 1/72 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

Answers

Answer:

108 pounds of mulch.

64 pounds of gravel.

Step-by-step explanation:

Let x be the amount of mulch sold and y be the amount of gravel sold.

We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.  

2(1)/(4)=(9)/(4)

1(1)/(3)=(4)/(3)

We can represent this information as:

(x)/(y)=((9)/(4))/((4)/(3))...(1)

We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:

x+y=172...(2)

From equation (1) we will get,

(x)/(y)=(9)/(4)*(3)/(4)

(x)/(y)=(27)/(16)

x=y*(27)/(16)

Substituting this value in equation (2) we will get,

y*(27)/(16)+y=172

Now let us have a common denominator.

(27y)/(16)+(16y)/(16)=172

(27y+16y)/(16)=172

16*(43y)/(16)=16*172

43y=2752

y=(2752)/(43)

y=64  

Therefore, the supplier sold 64 pounds of gravel.

Upon substituting y=64 in equation (2) we will get,

x+64=172

x=172-64

x=108

Therefore, the supplier sold 108 pounds of mulch.    

Ericka had 20 dogs in the dog nursery puppy josh took 3 how many is left show your work

Answers

20 - 3 = 17There are 17 dogs left in the nursery.
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