What triangle can be obtuse?

Please help me I don’t understand how to do it. If you can please use a data table to explain how to do it.

Ksivusya [100]

Answer:

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Step-by-step explanation:

Let us have x liters of the .7 mixture and y liters of the .6 mixture.

We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35

We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .

So we have the system

700x+600y=62(35)

10x+10y=35

I'm going to setup this up for linear combination/elimination.

Multiply bottom equation by 60.

700x+600y=62(35)

600x+600y=60(35)

Subtract equations (bottom from top):

(700-600)x+(600-600)y=35(62-60)

Simplify:

100x+0y=35(2)

100x=70

Divide both sides by 100:

x=70/100

x=7/10

Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.

y=3.5-x with x=.7

y=3.5-0.7

y=2.8

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Pic added.

Another way to do problem:

.7x+.6(3.5-x)=.62(3.5)

Multiply and distribute:

.7x+2.1-.6x=2.17

Combine like terms on left:

.1x+2.1=2.17

Subtract 2.1 on both sides:

.1x=.07

Multiply both sides by 10:

x=0.7 liters

Now the other acid solution is 3.5-0.7 which is 2.8 litera.

4 0

3 years ago

3.1 .31 1.3 .13 from greatest to least

ale4655 [162]

Hello there!

The answer is:
3.1
1.3
.31
.13

7 0

2 years ago

Read 2 more answers

2(1 – 8x) = 1/2 (8 - 64x)

faust18 [17]

Answer:

$x=\frac{1}{8}$

Step-by-step explanation:

A quick review on PEMDAS, the order of how to solve an equation:

P - parentheses. When parentheses are being used, you have to do everything inside them before doing everything outside of them.

E - exponents. We'll skip these, since there aren't any exponents we need to worry about in this equation.

M/D - multiplication/division. I include these both together because they can be done at the same time.

A/S = addition/subtraction. Can also be done at the same time.

Some other things to note:

You add all the things with an x attached to it, and you add all the things without an x attached to it, and these never cross.

When you bring something from one side of an equal sign to another, you make it negative.

Let's solve for x using what we've learned:

$2(1-8x)=\frac{1}{2} (8-64x)\\2-16x=4-32x\\16x=2\\x=\frac{2}{16} \\x=\frac{1}{8}$

8 0

2 years ago

2(5m^4n^-1)^3 simplify show work please

dangina [55]

Answer:

$\large\boxed{2(5m^4n^{-1})^3=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}$

Step-by-step explanation:

$\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\-------------------\\\\2(5m^4n^{-1})^3=2(5)^3(m^4)^3(n^{-1})^3=2(125)m^{3\cdot4}n^{-1\cdot3}=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}$

8 0

3 years ago

A brick layer is able to set 2.5 breaks in one minute how many bricks can you set an eight hours

frozen [14]

Answer:

<h2> In 8 hours he will set 1200 bricks</h2>

Step-by-step explanation:

In this problem, we are expected to estimate the number of bricks he can set in 8 hours.

let us convert hours to minutes we have

60 min make 1 hour

x min make 8 hours

cross multiply

x= 60*8

x= 480 min

We are assuming the same rate with which he sets 2.5 brick is the same as the rate with which he will set bricks for the 8 hours windows

so if the bricklayer sets

2.5 bricks in 1min

y bricks in 480 min

Cross multiply we have

y=2.5*480

y= 1200 bricks

hence in 8 hours, he will set 1200 bricks

5 0

2 years ago