MATHEMATICS MIDDLE SCHOOL

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Answers

Answer 1

Answer:

Answer:

x = - 7

Step-by-step explanation:

Given the 2 equations

y - x = 9 → (1)

10 + 2x = - 2y → (2)

Rearrange (1) expressing x in terms of y by adding x to both sides

y = x + 9

Substitute y = x + 9 into (2)

10 + 2x = - 2(x + 9) ← distribute

10 + 2x = - 2x - 18 ( add 2x to both sides )

10 + 4x = - 18 ( subtract 10 from both sides )

4x = - 28 ( divide both sides by 4 )

x = - 7

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Two sisters open saving accounts with $60 each that their grandmother gave them. The first sister adds $20 each month to her account. Her sister adds $40 every two months to her $60. If the sisters continue to make deposits at the same rate, when will they have the same amount of money?

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Answer:

Second month with $100 savings each

Step-by-step explanation:

Opening savings= $100 each

Additional savings

Sister 1 deposit = $20/month

Sister 2 deposit= $40 every 2 months.

First month= opening savings+ additional savings

Sister 1= $60+$20= $80

Sister 2=$60+$0= $60

Second month=

Total month savings+ additional deposit

Sister 1=$80+$20=$100

Sister 2=$60+$40=$100

At the end of the second month, the both have $100 each

Month 1
Sister 1; 60/ Sister 2; 60
Month 2
Sister 1; 80/ Sister 2; 60
Month 3
Sister 1; 100/ Sister 2; 100

On month 3 the should both have $100 in their accounts.

Find the value of x in each case:

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See the attached pictures:

Given the quadratic equation ax²-5b+4a=0, where a and b are constants has two real an equal roots,find a:b

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Answer:

Therefore either a:b = 5:4 or a:b=-5:4

Step-by-step explanation:

ax²-5bx+4a=0

Since the quadratic equation has two real root.

Then b²-4ac>0

Here a= a , b= -5b and c=4a

∴(-5b)²-4.a.4a=0

⇔25b²=16a²

⇔5b=±4a

$\Leftrightarrow (a)/(b) =\pm(5)/(4)$

Therefore either a:b = 5:4 or a:b=-5:4

Plz help me with this

Answers

Answer: arithmetic

Step-by-step explanation:

An arithmetic sequence is when you ADD a number (d) to the previous number to create the next numbers in the sequence.

A geometric sequence is when you MULTIPLY a number (r) to the previos number to create the next numbers in the sequence.

$n_1 = 3+(1)a\nn_2=3+(2)a\nn_3=3+(3)a$

Notice that "a" is added to each term in the sequence.

Aiden wants to find the mass of a bowling ball what unit of measurement would he use

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If he's using Metric Units of Mass it would be Kilograms, but if he's using Metric Units of Capacity it would be decimeters.

I really need help please the c/4 is a fraction 85+c/4=99

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85 + c/4 = 99

Subtract 85 from each side: c/4 = 14

Multiply each side by 4 : c = 56

85+c/4=99

85+1/4c=99

1/4c+85=99

Subtract 85 from both sides.

1/4c+85−85=99−85

1/4c=14

Multiply both sides by 4.

4*(1/4c)=(4)*(14)

c=56

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