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3 years ago

Solve this equation 3.5z – 2.7z = –6

Mathematics

2 answers:

vlada-n [284]3 years ago

6 0

Answer:

z=-7.5

Step-by-step explanation:

pishuonlain [190]3 years ago

4 0

Answer:

z = -7.5

Step-by-step explanation:

First you have to simplify the equation:

0.8z = -6

Then you have to isolate the z, and to do so you have to divide both sides by 0.8.

0.8/0.8z = -6/0.8

The answer then comes out to be z = -7.5

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Help me on this please

Scorpion4ik [409]

Yes

Step-by-step explanation: because The triangle has a 90 degree shape so it’s right

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3 years ago

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What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2

sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let $a_{1}=-2$

$a_{2}=-1$

$a_{3}=a_{1}-a_{2}$

$=-2-(-1)$

$=-2+1$

Therefore $a_{3}=-1$

$a_{4}=a_{2}-a_{3}$

$=-1-(-1)$

$=-1+1$

Therefore $a_{4}=0$

Similarly we have $a_{5}=-1$ , $a_{6}=1$ , $a_{7}=-2$

The general form to the given pattern is

$a_{n}=a_{n-2}+a_{n-1}$ for $n={\{1,2,3,4,5,6,7,8,9,10}\}$

Therefore to find the $a_{8},a_{9},a_{10}$

Put n=8 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{8}=a_{8-2}-a_{8-1}$

$=a_{6}-a_{7}$

$=1-(-2)$

$a_{8}=3$

Put n=9 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{9}=a_{9-2}-a_{9-1}$

$=a_{7}-a_{8}$

$=-2-(3)$

$a_{9}=-5$

Put n=10 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{10}=a_{10-2}-a_{10-1}$

$=a_{8}-a_{9}$

$=3-(-5)$

$a_{10}=8$

Therefore the next 3 numbers are 3,-5,8

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3 years ago

I need this answer hurry please

Brums [2.3K]

Answer:

21 ft²

Step-by-step explanation:

3*5 + 2*3 = 21

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3 years ago

Given g(x)=-2 find g(8+x)

grigory [225]

26 because when 2 meets 6 it forms the number aka # 26

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3 years ago

Dillon plans to invest $16,000 part at 4% simple interest and the rest at 5% simple interest what is the most he can invest at 4

marishachu [46]

Answer:

Step-by-step explanation:

The simple interest formula is P * r * t = I, where P is the initial investment, r is the interest rate in decimal form, t is the time in years. This problem would be best solved by making a table, one row for account 1 and one row for account 2 with the formula along the top:

P * r * t = I

acct 1

acct 2

First let's fill in our years. The words "per year" were used, so the time in each row is a 1:

P * r * t = I

acct 1 1

acct 2 1

Now let's fill in the interest rates as decimals:

P * r * t = I

acct 1 .04 1

acct 2 .05 1

Now for the principle amount. If all we have to invest is 16000 and we put x into one account, then all we have left to put into the other account is what's left after taking x out of 16000, or 16000 - x.

P * r * t = I

acct 1 x .04 1

acct 2 16000 - x .05 1

The formula tells us that we multiply the P times the r times the t to get I, so lets do that. Multiply straight across the top to get an interest of .04x. Multiply straight across the bottom to get an interest of .05(16000 - x) which, after distributing, is 800 - .05x:

P * r * t = I

acct 1 x .04 1 = .04x

acct 2 16000-x .05 1 = 800 - .05x

We need the amount of interest that we earn from both of these accounts to equal 700, so add the last column and set it equal to 700:

.04x + 800 - .05x = 700. Combine like terms to get

-.01x = -100 so

x = 10,000

That means that the account which has an interest rate of 4% can have 10,000 in it while the other account has 6,000 in it.

5 0

3 years ago