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4 years ago

- 6xy + 19xy = algebra question

Mathematics

2 answers:

trasher [3.6K]4 years ago

6 0

Answer: 13xy

Step-by-step explanation:

-6xy +19xy

= 13 xy

emmainna [20.7K]4 years ago

5 0

Answer:

13xy

Step-by-step explanation:

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What value of x <br> in the solution set of 2(3x – 1) ≥ 4x – 6?

Brrunno [24]

First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
$6x - 2 \geqslant 4x - 6$

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
$6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6$
And that will make the equation
$- 4 \geqslant - 2x$
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2

5 0

3 years ago

Read 2 more answers

the grey goat buys a bicycle wholesale for $125.50 and marks up the price by 75% to sell to the customer what is the retail pric

Sholpan [36]

Answer:

Step-by-step explanation:

125.50

+ 75%= 94.12

125.50+94.12=219.62

7 0

4 years ago

Read 2 more answers

(a)Find all integer solutions to the equation 105x + 83y = 1.

Mashcka [7]

Answer:

(a) (34+83t,-43-105t) where t is an integer

(b) (272+83t,-344-105t) where t is an integer.

Step-by-step explanation:

We are going to perform Euclidean's Algorithm.

Let's begin with seeing how many times 83 goes int 105.

105=83(1)+22 (eq1)

83=22(3)+17 (eq2)

22=17(1)+5 (eq3)

17=5(3)+2 (eq4)

5=2(2)+1 (eq5)

Now let's go backwards through those equations.

5-2(2)=1 (eq5 rewritten so that the remainder was by itself)

5-2[17-5(3)]=1 (replaced the 2 in ( ) with eq4 solved for the remainder)

5-2(17)+5(6)=1 (distributive property was performed)

-2(17)+5(7)=1 (combined my 5's)

-2(17)+7(5)=1 (multiplication is commutative)

-2(17)+7(22-17)=1 (used eq3)

-2(17)+7(22)-7(17)=1 (distribute property was performed)

-9(17)+7(22)=1 (combined my 17's)

-9(83-22(3))+7(22)=1 (used eq2)

-9(83)+22(27)+7(22)=1 (distributive property was performed)

83(-9)+22(34)=1 (multiplication is commutative and combined my 22's)

83(-9)+34(105-83)=1 (used eq1)

105(34)+83(-43)=1 (after distributive property and reordering)

So we have a point on the line being (x,y)=(34,-43).

We can use the slope to figure out all the other integer pairs from that initial point there.

The slope of ax+by=c is -a/b.

So the slope of 105x+83y=1 is -105/83.

So every time we go down 105 units we go right 83 units

This says we have the following integer pairs on our line:

(34+83t,-43-105t) where t is an integer.

Let's verify:

Plug it in!

105[34+83t]+83[-43-105t]

105(34)+105(83)t+83(-43)-83(105)t

105(34)+83(-43)

We are good!

(b)

We got from part (a) that 105(34)+83(-43)=1.

Multiply both sides we get 8 on the right hand side:

105(34*8)+83(-43*8)=8

Simplify:

105(272)+83(-344)=8

So the integer pairs is (272+83t,-344-105t) where t is an integer.

Let's verify:

105[272+83t]+83[-344-105t]

105(272)+105(83)t+83(-344)-83(105)t

105(272)+83(-344)

(c)

Let u=83^(-1) mod 105.

Then 83u=1 mod 105.

This implies:

83u-1=105k for some integers k.

Add 1 on both sides:

83u=105k+1

Subtract 105k on both sides:

83u-105k=1

Reorder:

105(-k)+83u=1.

We found all (x,y) integer pairs such that 105x+83y=1.

We go (34+83t,-43-105t) where t is an integer.

So k=-34-83t while u=-43-105t.

Since we want to find an integer t such that u is between 0 and 104, we could solve 0<-43-105t<104.

Add 43 on all sides:

43<-105t<147

Divide all sides by -105:

-43/105>t>-147/105

-147/105<t<-43/105

This says t is approximately between -1.4 and -0.4 . This includes only the integer -1.

When t=-1, we have u=-43-105(-1)=-43+105=62.

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4 years ago

A prism has a surface area of 50 mm2.

ZanzabumX [31]

Its B i did the assement hope it helps

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3 years ago

Help me plez........

Vika [28.1K]

Answer:

=12

hope that helped you:)

please make my answer brainiest as im trying get 4 brainiest answers

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3 years ago