MATHEMATICS MIDDLE SCHOOL

Annabel and Riley were given a homework packet of 120 math questions to finish over the summer. In June, Annabel finished 25% of the questions in her packet.
In June, Riley finished 40% of the questions in her packet.

How many more questions had Riley finished than Annabel?

Answers

Answer 1
Answer:

Riley finished 18 more questions than Annabel, as per the given condition.

Given that,
Annabel and Riley were given a homework packet of 120 math questions to finish over the summer. Annabel finished 25% of the questions in her packet. In June, Riley finished 40% of the questions in her packet.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Question finished by Annabel = 25% of 120 = 0.25 × 120 = 30
Question finished by Riley= 40% of 120 = 0.40× 120 = 48
Difference in the question = 48 - 30 = 18

Thus, Riley finished 18 more questions than Annabel, as per the given condition.

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Answer 2
Answer:

Answer:

18 questions

Step-by-step explanation:

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An interior angle of a regular polygon is eleven times its exterior Work out the number of sides of the polygon
Thank you x

Answers

I think they answer might be ....... /7

Which quadratic equation has solutions x=8 and x=−1?

Answers

There are two ways you can do this

<B>Using the formula</B>


{x}^(2) - (sum \: of \: roots)x + poduct \: of \: roots = 0

{x}^(2) - (8+-1)x + - 1 * 8 = 0


{x}^(2) - 7x - 8 = 0


<B>Working backwards</B>


x = 8 \: or \: x = - 1
\Rightarrow x-8=0 \: or \: x+1=0

\Rightarrow (x-8)(x + 1)=0
\Rightarrow {x}^(2) + x -8x - 8 = 0
\Rightarrow {x}^(2) - 7x - 8 = 0

Final answer:

The quadratic equation which has solutions x=8 and x=-1 is x² - 7x - 8 = 0.

Explanation:

To find the quadratic equation with solutions x=8 and x=-1, we can use the property that in a quadratic equation ax²+bx+c=0, the sum of the roots is equal to -b/a, and the product of the roots is equal to c/a.

As we know the solutions here are x=8 and x=-1,  therefore: sum of roots = 8 + (-1) = 7. product of roots = 8 * -1 = -8. Assuming 'a' as 1 (for simplicity), our quadratic equation would be x² - 7x - 8 = 0. So this is the quadratic equation that has solutions x=8 and x=-1.

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Factor 7x^3+28x^2+21x

Answers

The factor of the polynomial 7x³+28x²+21x are 7x, (x + 1), and (x + 3) after factorization.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

We have a polynomial:

= 7x³+28x²+21x

\rm =7x\left(x^2+4x+3\right)

= 7x(x + 1)(x + 3)

Thus, the factor of the polynomial 7x³+28x²+21x are 7x, (x + 1), and (x + 3) after factorization.

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Answer:

7x (x + 1 ) ( x + 3 )

Step-by-step explanation:

7x³ +28x² +21x

7x ( x² + 4x + 3 )

7x [ x² + 1x + 3x + 3 ]

7x [ x ( x + 1 ) + 3 ( x + 1 ) ]

7x (x + 1 ) ( x + 3 )

Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are 36 apples in the basket, there are peaches in the basket. NextReset

Answers

a = 2p + 12...and there are 36 apples (a)
36 = 2p + 12
36 - 12 = 2p
24 = 2p
24/2 = p
12 = p...so, if there are 36 apples (a), then there are 12 peaches (p)

Fred and ethyl had 132 flowers altogether at first. After Fred sold 1/4 of his flowers and Ethyl sold 48 of her flowers, they had the same number of flowers left. How many did they each have at first?

Answers

F + E = 132
3/4 F = E - 48           ( after Fred sold 1/4 of his flowers there is 3/4 flowers left )
--------------------
E = 132 - F
3/4 F = 132 - F - 48
3/4 F + F = 84
7/4 F = 84
F = 84 : 7/4 = 84 * 4/7 = 48
E = 132 - 48 = 84
We can prove it: 3/4 * 48 = 84 - 48
36 = 36 ( correct )
Answer:
Fred had 48 flowers and Ethel 84 flowers.

Fred had 48 flowers.

Ethyl had 84 flowers.

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

  • Elimination Method
  • Substitution Method
  • Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Number of Fred's Flowers = f

Number of Ethyl's Flowers = e

Fred and ethyl had 132 flowers altogether at first.

f + e = 132

f = 132 - e → Equation 1

After Fred sold 1/4 of his flowers and Ethyl sold 48 of her flowers, they had the same number of flowers left.

f - (1)/(4)f = e - 48

(3)/(4)f = e - 48

(3)/(4)(132 - e) = e - 48 ← Equation 1

(3)/(4)(132) - (3)/(4)e = e - 48

99 + 48 = (3)/(4)e + e

147 = (7)/(4)e

e = 147 / (7)/(4)

e = \boxed{84}

f = 132 - e

f = 132 - 84

f = \boxed {48}

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

I just want to know if 1/3*7/9=3 6/7 is correct?

Answers

Answer:

No, the correct answer is 7/27

Step-by-step explanation:

1/3 Multiplied by 7/9 equals 7/27, NOT 3 6/7

When you multiply fractions multiply first the Numerators (numbers on top of the fraction) and second the Denominators (numbers on the bottom of the fraction!)
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