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2 years ago

Yo can anybody please help me with this math question please

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

Answer:

the answer should 60°

Step-by-step explanation:

if look at angle pq and rq the measure of the angle is 60° if u were to spin that angle to a u should get the same measurement

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CAN SOMEONE HELP ME WITH QUESTION 3. PLEASE SHOW YOUR WORK

oee [108]

Let
x = number of liters of the 40% salt solution
y = number of liters of the 20% salt solution

The two amounts (x and y) must combine to 1500 liters, so
x+y = 1500
we can solve for y to get
y = 1500-x
after subtracting x from both sides

---------------------------------------------------

If we have x liters of the 40% salt solution (composed of pure salt plus other stuff) then we have exactly 0.40*x liters of pure salt. Simply multiply the decimal form of the percentage with the amount of solution.

Similarly, if we have y liters of the 20% solution, then we have 0.20*y liters of pure salt

Combined, we have 0.40*x + 0.20*y liters of pure salt all together.

We want 1500 liters of a 28% solution, so we want 1500*0.28 = 420 liters of pure salt

Equate the two expressions (0.40*x + 0.20*y and 420) to get
0.40*x + 0.20*y = 420

---------------------------------------------------

We have the equation 0.40*x + 0.20*y = 420 and we also know that y = 1500-x

Let's use the substitution property now

0.40*x + 0.20*y = 420
0.40*x + 0.20*( y ) = 420
0.40*x + 0.20*( 1500 - x ) = 420 ... note how y is replaced with 1500-x

Now we can solve for x
0.40*x + 0.20*( 1500 - x ) = 420
0.40*x + 0.20*(1500) + 0.20*(-x) = 420
0.40*x + 300 - 0.20x = 420
0.40*x - 0.20x + 300 = 420
0.20x + 300 = 420
0.20x + 300 - 300 = 420 - 300
0.20x = 120
0.20x/0.20 = 120/0.20
x = 600

Now that we know x, use this to find y
y = 1500-x
y = 1500-600 ... plug in x = 600 (ie replace x with 600)
y = 900
---------------------------------------------------
---------------------------------------------------

Answers:

We need 600 liters of the 40% solution
We need 900 liters of the 20% solution

8 0

2 years ago

1. what is the x of "5x - 4 = 3x + 8"

maks197457 [2]

Answer:

1. x= -2 2. x= -5 3. x= -11/10

Step-by-step explanation:

1. 5x-3x -4+4=3x-3x+8+4 2x/2=-4/2 x=-2

2. -4x+7x +7-7=-7x+7x-8-7 3x/3=-15/3 x=-5

3. 6x+4x+7-7=-4x+4x-4-7 10x/10=-11/10 x=-11/10

5 0

3 years ago

30 POINTS For Answers To Questions 1-10

DochEvi [55]

QUESTION 1

The angle $33x+3$ and $135\degree$ are alternate exterior angles.

Since alternate interior angles are congruent, we must have;

$33x+3=135\degree$

Group similar terms.

$\Rightarrow 33x=135-3$

$\Rightarrow 33x=132$

QUESTION 10

We solve the following equation for the two alternate exterior angles to find x.

$x+134=130$

$\Rightarrow x=130-134$

$\Rightarrow x=-4$

$\Rightarrow x=\frac{132}{33}$

$\Rightarrow x=4$ .

QUESTION 2

The angle $120\degree$ and $31x-4$ degree angle are alternate interior angles.

Alternate interior angles are also equal

$\Rightarrow 31x-4=120\degree$

$\Rightarrow 31x=120+4$

$\Rightarrow 31x=124$

$\Rightarrow x=\frac{124}{31}$

$\Rightarrow x=4$

QUESTION 3

The angle $120\degree$ and $x+124$ degree angle are alternate interior angles.

Alternate interior angles are congruent

$\Rightarrow x+124=120\degree$

$\Rightarrow x=120-124$

$\Rightarrow x=-4$

QUESTION 4

The given angles, $40x+5$ and $42x-1$ are alternate interior angles.

$\Rightarrow 40x+5=42x-1$

Group like terms;

$\Rightarrow 5+1=42x-40x$

$\Rightarrow 6=2x$

Divide both sides by 2 to get;

$\Rightarrow x=3$

QUESTION 5

The given angles, $20x+4$ and $19x+9$ are alternate interior angles.

$\Rightarrow 20x+4=19x+9$

Group like terms;

$\Rightarrow 20x-19x=9-4$

$\Rightarrow x=5$

QUESTION 6

The given angles, $11x$ and $-9+12x$ are alternate exterior angles.

Since the alternate exterior angles are congruent, we have;

$-9+12x=11x$

We group similar terms to obtain;

$12x-11x=9$

$\Rightarrow x=9$

QUESTION 7

The two angles, $x+88$ and $80$ .

The two alternate interior angles are congruent.

$\Rightarrow x+88=80\degree$

$\Rightarrow x=80-88$

$\Rightarrow x=-8$

QUESTION 9

The two angle alternate interior angles.

These angles are congruent.

This implies that;

$x+75=70$

$\Rightarrow x=70-75$

$\Rightarrow x=-5$

QUESTION 10

We solve the following equation for the two alternate exterior angles.

$x+134=130$

$\Rightarrow x=130-134$

$\Rightarrow x=-4$

6 0

3 years ago

Can someone please help me out thanks (it's Math , Volume )

Annette [7]

39 * 39 * 39

59319

It is a cube, all sides are equal distance. If the length is 39 then all the other sides are 39.

5 0

3 years ago

an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100

LiRa [457]

I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;

2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:

2c + 4p = 270
-2c -2p = -200
___________
2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
c = 65

There are 35 pigs and 65 chickens
-T.B.

3 0

3 years ago