Can anyone help. Thanks

Answer:

Answer:

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

6x-2y=-144x-3y=-31

Write as a system of equations.

6x-2y=-31

-144x-3y=-31

Multiply both sides of the equation by 24.

144x-48y=-744

-144x-3y=-31

Sum the equations vertically to eliminate at least one variable.

-51y=-775

Divide both sides of the equation by -51.

y=775/51

Substitute the given value of y into the equation 6x-2y=-31.

6x-2x775/51=-31

Solve the equation for x.

x=-31/306

The possible solution of the system is the ordered pair (x , y).

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

Circumference C=2πr  r=radius [tex]\pi =3.14[/tex]

C=2(3.14)9.7

C=60.9

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.[/tex]

Required

Prove

To start with; we open the bracket on the left hand side

[tex](sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x[/tex]

[tex](sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x[/tex]

Reorder

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

From trigonometry;

[tex]sin^2x + cos^2x = 1[/tex]

So;

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

Also from trigonometry;

[tex]sec^2x - tan^2x = 1[/tex]

So,  

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x[/tex]

Proved

Answer:

336.00 km distance of train

Step-by-step explanation:

Alex = 20mins =12km We distribute to 1hr to find 60mins = 36km p/h.

Roy = 2hrs 20 mins and is 4x the speed of the car.

So 36km x 4 p/h =  144km p/h

2hrs and 20 = 144 x 2.3333 = 335.9952 = 336km

Answer:

336 km

Step-by-step explanation:

"Alex takes 20 minutes to travel 12 km in her car."

Alex's speed = (12 km)/(20 min) = 0.6 km/min

"Alex drives at an average speed that is 1/4 of the average speed that Roy's train travels."

Therefore, Roy's speed is 4 times Alex's speed.

Roy's speed = 4 * 0.6 km/min = 2.4 km/min

Roy travels for 2 hours and 20 minutes = 2 * 60 min + 20 min = 140 min

speed = distance/time

distance = speed * time = 2.4 km/min * 140 min = 336 km

Answer:

The x-value is between 2 and 3, and the y-value is between –4 and –5

Step-by-step explanation:

The system of equations:

y = 1/4x - 5

y = -1/2x - 3

is shown in the figure attached. There it can be seen that the solution is (2.667, -4.333). This can be corroborated as follows:

y = 1/4(2.667) - 5 = -4.333

y = -1/2(2.667) - 3 = -4.333

Answer:

A its a

Step-by-step explanation:

Answer:

31/24

Step-by-step explanation:

multiple 2 by 24, then add 17, which you get 31, and put it over 24

31/24

Answer:

180 degrees

Step-by-step explanation:

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

If we want the time for 18 pages, we would multiply both sides by 18

So,

18 pages = 3×18 mins

18 pages = 54 mins

Answer:

C

Step-by-step explanation:

1 page every 3 minutes

18 pages will take 3 × 18 = 54 minutes to read.

Answer:

40

Step-by-step explanation:

The sum equals 80 80/2=40

Answer:

3

Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.

Answer:

B

2(6)+4 > 16             x > 6                 2(7) + 4 > 16

12+4=16                                            14+4>16       18>16

Answer:

B

Step-by-step explanation:

The question is asking for what y would be when x is 2.

So, look on the graph where x = 2.

When x = 2, y = 6.

This means after 2 hours, the cost is $6

Answer:

To find < E we use tan

tan E = opposite / adjacent

DF is the opposite

EF is the adjacent

DF = 11

EF = 11

tan E = 11/11

tan E = 1

E = 45

Hope this helps

Answer:

45 degrees

Step-by-step explanation:

Since this triangle is isosceles, we know that the other angles, D and E, are both 45 degrees because of the sum of interior angles of a triangle always equaling 180 degrees.

Answer:

8.5

Step-by-step explanation:

For this we will use trigonometry.

First lable the diagram: 13 will be the hypotenuse (H), x will be the opposite(O). Therefore, we will use sin as it is SOH.

sin Θ = [tex]\frac{O}{H}[/tex]

sin 41 = [tex]\frac{x}{13}[/tex]

x = 13 sin 41

Type this into the calculator, then you will get 8.5287677377. Round this to the nearest tenth will be 8.5.

As the question does not give any units, there will be no need to write any units after the answer.

Hope this helps

Answer: 8.53

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 49°

x = hypoteneuse·sin(A)/sin(B) = 8.53

Answer: Collected amount÷total amount x 100

Step-by-step explanation:

Food and drinks = [tex]\frac{27000}{54000}[/tex] x 100 = 50%

Entertainment = [tex]\frac{6000}{54000}[/tex] x 100 = 11% (11.1 - .1 recurring)

Games = [tex]\frac{12000}{54000}[/tex] x 100 = 22% (22.2- .2 recurring)

Donations = [tex]\frac{9000}{54000}[/tex] x 100 = 17% (16.6- .6 recurring)

Double checking - 50 + 11 + 22 + 17 = 100%

Hope this helps! :)

Answer:

Food & drinks = 50%

Entertainment = 11.1%

Games = 22.2%

Donations = 16.7%

Step-by-step explanation:

Basically, divide all of the amounts to $54000.

What I did was divide them, my answers are basically close to the exact percentage.

Answer:

B

Step-by-step explanation:

To solve this, we can make all of the numbers decimals.

π=3.14159265 and so on

Root 10 is about 3.16227766

22/7 is about 3.14285714

3.14 is already a decimal.

Now, our numbers are far easier to compare.

Let's put the numbers in increasing order.

3.14, 3.14159265, 3.14285714, 3.16227766

Substitute the original numbers in.

3.14, π, 22/7, Root 10

Therefore, option B is correct.

Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

Answer:

D

Step-by-step explanation:

The figure A will be translated 6 units to the left to make it on figure B

Answer:

28.07° ; 70.53° ; 53.13° ; 36.87°

Step-by-step explanation:

Using PYTHAGORAS RULE :

IMAGE 1:

value of cos α equals :

cos α = Adjacent / Hypotenus

cos α = 15 / 17

cos α = 0.88235

α = cos^-1 (0.88235)

α = 28.07°

IMAGE 2:

sin β = Opposite / Hypotenus

sin β = 14√2 / 21

sin β = 0.9428

β = sin^-1(0.9428)

β = 70.53°

IMAGE 3:

From trigonometry :

cot = 1 / tan

Tan = Opposite / Adjacent

Therefore, Cot = Adjacent / Opposite

cot γ = 3/4

cot γ = 0.75

γ = cot^-1 (0.75)

γ = 53.13°

IMAGE 4:

tan α = Opposite / Adjacent

tan α = 15 / 20

tan α = 0.75

α = tan^-1 (0.75)

α = 36.87°

Answer:

15

Step-by-step explanation:

Answer:

I'm guessing you would like to know what -4 - 6 is? It's -10.

Step-by-step explanation:

-4 - 6 = -10

You add -4 and 6, and you get -10. I hope this helped or you meant to phrase the question differently.

Answer:

The difference between -4 and 6 is 10

Step-by-step explanation:

Hope this helps :)

Answer:

B. ( - 2, - 5)

Step-by-step explanation:

Coordinates of point A are ( - 2, - 5).

Answer:

Use this website it gives you the answer and show the work

math

way

dot

com

Step-by-step explanation:

Answer:

24a: n = 5/14

24b: p = 18

25a: (x + 11) (x - 12)

25b: x (x + 2) (x - 2)

Step-by-step explanation:

I hope this helps

Answer:

(A) It's 6/5     (B) It's 7/8  

Step-by-step explanation:

Divide each term by -6 simplify.

Hope this helped you! I don't understand the last one sorry.

Answer:

14- yes

15-No

16-11.5

Step-by-step explanation:

14- yes ( attached a picture) 5/6

15-no, because Direct Variation: It is known as the relationship between two variables where the variable quantities have a constant ratio.

8y=7x-27

     y=7/8 x-27/8

16- ky=x where k is the constant variation

k=166/83=2

ky=x when x=23

y=x/k=23/2=11.5

Answer:

D) [tex]x=4 \textdegree[/tex]

Step-by-step explanation:

Before answering this question, we must first understand what an angle bisector is. An angle bisector is any ray, line, or line segment that splits an angle into two congruent, smaller angles.

That being said, since [tex]DF[/tex] bisects [tex]\angle ADE[/tex], we can say that [tex]\angle ADF \cong \angle FDE[/tex]. If you'll remember, congruent angles have equal measures, so [tex]m\angle ADF = m\angle FDE[/tex].

Substituting the given values of the angle measures into the equation and solving, we get:

[tex]9x-1=8x+3[/tex]

[tex]9x=8x+4[/tex] (Add 1 to both sides)

[tex]\bf x = 4 \textdegree[/tex] (Subtract 8x from both sides)

Hope this helps!

Answer:

[tex]x = 4[/tex]

Answer D is correct.

Step-by-step explanation:

( ADF angle = FDE angle)

[Because DF is the angle bisector]

[tex]9x - 1 = 8x + 3[/tex]

[tex]9x - 8x = 1 + 3 \\ x = 4[/tex]

hope this helps you.

Answer:

5

Step-by-step explanation:

Let's call the original number x.

So, the first student did x+23, and the other student did x-1.

You know that the first students result was 7 times larger than the other students. So, you can make the equation:

x+23=7(x-1)

x+23=7x-7

Then, do the algebra

-6x=-30

x=5

Answer:

5

Step-by-step explanation:

let the number =x

x+23=7(x-1)

x+23=7x-7

7x-x=23+7

6x=30

x=30/6=5

Answer:

-2/3

Step-by-step explanation:

We need a negative fraction

The numerator has to be smaller than the denominator to be between 0 and -1

Answer:3rd one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Neither angle P nor angle Q is exactly 45 degrees, but both are closer to 45 degrees than are the other choices.

Step-by-step explanation:

Answer:

the answer is NOT b, i got that wrong on the quiz

Step-by-step explanation:

Answer:

The correct answer is C.

Step-by-step explanation:

(1,-2) (4,-4) (9,-6)

Answer:

x<12

Step-by-step explanation:

Divide both sides by 5

5(x+5) < 85

   5         5      

then simply

Answer:

x < 12

Step-by-step explanation:

[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]