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1 year ago

Fill in the missing values to make the equations true.

Mathematics

1 answer:

Rufina [12.5K]1 year ago

8 0

(a) log, 5+ log, 9 = log ,45

(b) log, 5 - log, 11 =log, 5/11

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Five apples cost $4.90 how much apples does each apple cost?

Fudgin [204]

Answer: $0.98 per apple

Step-by-step explanation: 4.90 divided by 5

6 0

3 years ago

A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke

defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253 Eqn 1

5x+10y=1595 Eqn 2

Multiplying Eqn 1 by 5

$5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330$

Dividing both sides by 5

$\frac{5y}{5}=\frac{330}{5}\\y=66$

Putting y=66 in Eqn 1

$x+66=253\\x=253-66\\x=187$

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

Expand the given power by using Pascal’s triangle. (9a - 10b)^6

xxMikexx [17]

Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

1 1 n=1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1 n=5

1 6 15 20 15 6 1 n=6

This is where n is the exponent in

$(x+y)^n$ .

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

8 0

3 years ago

1. Addition

nexus9112 [7]

Answer:

1. Exponent

2. Multiplication

3. Subtraction

4. Square root

5. Addition

6. Division?

<em>Note: I am not very sure about my answer because of two things. 1. The proper order for operating is PEDMAS (Parentheses, Exponent, Multiplication, division, addition, and subtraction). There is no Square root in that operation so I will consider it in the middle. 2. There is no division operation in this problem.</em>

4 0

2 years ago

Read 2 more answers

Help me sort out the photo

musickatia [10]

I hope this helps you

2x+5-3x+2=7-x

3x-2-2x-5=x-7

2x+5+3x-2=5x+3

6 0

2 years ago