All categories

3 years ago

Solve the equation 3.5z-2.7z=-6

Mathematics

2 answers:

zysi [14]3 years ago

5 0

First you do 3.5z-2.7z= .8z then you divide .8 with -6, which gives you -7.5 so z= -7.5

svlad2 [7]3 years ago

3 0

Answer: The value of z is -0.75.

Step-by-step explanation:

The given equation is $3.5z-2.7z=-6$

In term to solve it to find z , we first simplify the left side.

By using distributive property : $ba+ca=(b+c)a$ , we get

$(3.5-2.7)z=-6\\\\\Rightarrow 0.8z=-6$

Now , Divide both sides by 0.8 , we will get

$z=\dfrac{-6}{0.8}=\dfrac{-60}{8}\\\\\Rightarrow\ z=-7.5$

Hence, the value of z is -0.75.

You might be interested in

Jayla bought 3 blouses at 15 dollars each the blouses were 18 percent off how much did Jayla pay in total

Feliz [49]

Jayla payed $36.90 i got this because i multiplied 3 times 15 and got 45 then i did .18 times 45 which is 8.1 (8.1 is how much will be taken off) and then i subtracted 45-8.1 and got $36.90

8 0

3 years ago

How to find average value of a function over a given interval?

Strike441 [17]

f(x)=8x−6f(x)=8x-6 , [0,3][0,3]

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.(−∞,∞)(-∞,∞){x|x∈R}{x|x∈ℝ}f(x)f(x) is continuous on [0,3][0,3].f(x)f(x) is continuousThe average value of function ff over the interval [a,b][a,b] is defined as A(x)=1b−a∫baf(x)dxA(x)=1b-a∫abf(x)dx.A(x)=1b−a∫baf(x)dxA(x)=1b-a∫abf(x)dxSubstitute the actual values into the formula for the average value of a function.A(x)=13−0(∫308x−6dx)A(x)=13-0(∫038x-6dx)Since integration is linear, the integral of 8x−68x-6 with respect to xx is ∫308xdx+∫30−6dx∫038xdx+∫03-6dx.A(x)=13−0(∫308xdx+∫30−6dx)A(x)=13-0(∫038xdx+∫03-6dx)Since 88 is constant with respect to xx, the integral of 8x8x with respect to xx is 8∫30xdx8∫03xdx.A(x)=13−0(8∫30xdx+∫30−6dx)A(x)=13-0(8∫03xdx+∫03-6dx)By the Power Rule, the integral of xx with respect to xx is 12x212x2.A(x)=13−0(8(12x2]30)+∫30−6dx)

3 0

3 years ago

Which expressions are equivalent to 5p+3p+(-9)5p+3p+(−9)5, p, plus, 3, p, plus, (, minus, 9, )? Choose all answers that apply:

Lemur [1.5K]

Answer:

Option B.

Step-by-step explanation:

The given expression is

$5p+3p+(-9)$

We need to find an expression which is equivalent to the given expression.

Combine like terms.

$(5p+3p)-9$

$8p-9$

The simplified form of given expression is 8p-9. So, option A is incorrect.

In option B, the given expression

$3(p+(-3))+5p$

$3(p-3)+5p$

Using distributive property, we get

$3p-9+5p$

Combined liker terms.

$(5p+3p)-9$

$8p-9$

It is same as the simplified form of given expression.

Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.

7 0

2 years ago

Read 2 more answers

You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you

agasfer [191]

The probability is 0.7584.

3 0

3 years ago

I need help with this math question

ICE Princess25 [194]

Answer:

B. 5

Step-by-step explanation:

Step 1: Rewrite the equation a bit

$\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}$

Step 2: Place a logarithm base 7 on both sides

$7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\\log_77^\frac{3}{4}^-^\frac{x}{8}=log_77^\frac{1}{8}\\(\frac{3}{4}-\frac{x}{8})log_77=\frac{1}{8}log_77\\(\frac{3}{4}-\frac{x}{8})1=\frac{1}{8}1\\\frac{3}{4}-\frac{x}{8}=\frac{1}{8}$

Step 3: Solve for x

$\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\\\frac{6}{8}-\frac{x}{8}=\frac{1}{8}\\-\frac{x}{8}=-\frac{5}{8}\\\frac{x}{8}=\frac{5}{8}\\x=5$

Neat exponent question :)

7 0

2 years ago