...................................................

Answer:

x = 1

y = -1

Step-by-step explanation:

3x + 5y = -2

7x - 8y = 15

=> -8y = 15 - 7x

=> -y = 15/8 - 7/8x

=> y = -15/8 + 7/8x

3x + 5(-15/8 + 7/8x) = -2

=> 3x -75/8 + 35/8x = -2

=> 24/8x - 75/8 + 35/8x = -16/8

=> 59/8x - 75/8 = -16/8

=> 59/8x = 59/8

=> x = 59/8 x 8/59

=> x = 472/472

=> x = 1

x = 1

So, 3x + 5y = -2

=> 3 (1) + 5y = -2

=> 3 + 5y = -2

=> 5y = -5

=> y = -5/5

=> y = -1

So, x = 1

=>  y = -1

Answer:

Ok, at the beginning the distance between the trains is 200km:

IPa(0s) - P(0s)I = 200km.

where Pa is the position of train A, and Pb is the position of train B.

Now, the speed of train A is:

Sa = 50km/h

Sb = 65km/h

Now, remember the relation:

Distance = Speed*time.

So, in one hour, the displacement of train A is:

Distance = 50km/h*1h = 50km

The displacement of train B is:

distance  = 65km/h*1h = 65km.

Now, if at the beginning train A is 200km ahead of train B, then we have:

Pa - Pb = (Pa(0s) + 50km) - (Pb(0s) + 65km)

= (Pa(0s)  - Pb(0s)) + (50km - 65km) = 200km - 15km = 185km.

Now, if train B was 200km ahead of train A, we have:

Pb - Pa = (Pb(0s) + 65km) - (Pa(0s) - 50km) =

(Pb(0s) - Pa(0s)) + (65km - 50km) = 200km + 15km = 215km

Answer:

( x-7) (x+3)

Step-by-step explanation:

X^2- 4x- 21

What two numbers multiply to -21 and add to -4

-7 * 3 = -21

-7+3 = -4

( x-7) (x+3)

Answer:

4sqrt(3) = 6.928

Step-by-step explanation:

Ratio of the lengths of the sides of a 36-60-90 triangle:

short leg : long leg : hypotenuse

     1         :  sqrt(3)   :       2

The short leg is sqrt(3) times shorter than the long leg.

The hypotenuse is twice the short leg.

long leg = 6

short leg = 6/sqrt(3)

hypotenuse = 12/sqrt(3)

12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)

Answer:

tan(π−2/5)

decimal form -0.42

Answer:

-0.42

Step-by-step explanation:

Answer:

60.1508310

Step-by-step explanation:

60 tens=60.

1 tenth=1.0

83 hundredth=83.00

150 thousandth=150.000

Tenth=1 decimal place

Hundredth=2 decimal place

Thousandth=3 decimal place

150.000

83.00

1.0

1508310

60.1508310

56

a = 18

18 and 43 is 124

180 minus 124 is 56

Answer:

[tex]\huge\boxed{Option \ C}[/tex]

Step-by-step explanation:

∠CAD is the central angle and ∠CBD is the inscribed/circumference angle which means that

∠CAD = 2(∠CBD)

So, If ∠CBD = 55° then ∠CAD = 110°

Answer:

Compression, stirring, and friction all increase heat

Step-by-step explanation:

I did a lesson on it and got it right

Answer:

Ok, when we have an equality, like:

A = B

That says that A is the same as B.

Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.

I suppose that we start with something like:

(4/3)*x = 2

(i will work with this, because you did not post the actual equations)

the thing that Carrie did is:

She multiplies both sides by 3, and get:

3*(4/3)*x = 2*3

4*x = 6

Now she divides bot sides by 4

4*x/4 = 6/4

x = 6/4 = 3/2.

Now, a simpler step is considerin (4/3) as a number A, then we have:

A*x = 2

Now we divide both sides by A.

A*x/A = 2/A

x = 2/A

and we have A = (4/3) then 1/A = (3/4)

x = 2*(3/4) = 3/2

Answer:

Glass A

Step-by-step explanation:

Volume = п r ² h

п = 3.14  aprox.

r = radius = diameter/2

h = tall

volume = 3.14 * (84/2)² * 175

volume = 3.14 * 42² * 175

volume = 3.14 * 1764 * 175

volume = 969318mm³

volume = 3.14 * (96/2)² * 125

volume = 3.14* 48² * 125

volume = 3.14 * 2304 * 125

volume = 904320mm³

Answer:

969318 > 904320

then:

Glass A holds more liquid

Answer:

160

Step-by-step explanation:

x = original price

x+ 25% x = 200

Change to decimal form

x + .25x = 200

1.25x = 200

Divide each side by 1.25

x = 200/1.25

x =160

The original price was 160

Answer:

-5

Step-by-step explanation:

The coefficient is the number attached to the variable.

Answer:

The point (-2, 4) is not a solution of the linear equation, 5·y =  3·x + 18

Please find attached the required graph of the linear equation 5·y =  3·x + 18 written in the form y = 3/5·x + 18/5

Step-by-step explanation:

The given equation is 5·y = 3·x + 18, from which we have;

y = 3/5·x + 18/5

To draw the graph, we generate for vales of y corresponding to values of x as follows;

x,      y

-6,    0

-5,    0.6

-4,    1.2

-3,    1.8

-2,    2.4

-1,      3

0,      3.6

1,       4.2

2,      4.8

3,      5.4

4,       6

5,       6.6

6,       7.2

7,        7.8

8,        8.4

9,        9

10,      9.6

11,       10.2

12,      10.8

13,      11.4

14,       12

15,      12.6

16,      13.2

Therefore, when y = 0, x = -6, when x = 0, y = 3.6, when x = -2, y = 2.4, when y = 4, x = -2, x = 6

Therefore, the point (-2, 4) is not a solution of the linear equation, 5·y =  3·x + 18

Answer:

[tex]x=-40[/tex]

Step-by-step explanation:

You need to find the value of x. To do this, you need to isolate the variable:

[tex]7x=80+9x[/tex]

Move the 80 to the left side of the equation using the reverse operation of '+', which is subtraction:

[tex]7x-80=80-80+9x\\\\7x-80=9x[/tex]

Now move the coefficient, 7x, to the right side of the equation using the reverse operation of addition (because it's a positive number), which is subtraction:

[tex]7x-7x-80=9x-7x\\\\-80=2x[/tex]

Now isolate the variable using reverse operations. The coefficient can also be seen as [tex]2*x[/tex] , so the opposite of multiplication is division. Divide by 2, remembering to do the same on both sides of the equation to keep it stable:

[tex]-\frac{80}{2}=\frac{2x}{2}\\\\ -40=x[/tex]

The value of x is -40.

:Done

Answer:

Step-by-step explanation:

77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)

Answer:

-3

Step-by-step explanation:

First we need to distribute the -4.

-6x+20+4x=26

-2x+20=26

subtract 20 on both sides

-2x=6

divide out -2

x=-3

Answer:

2/4 = 23/AB

1/2 = 23/AB

AB= 46

Hope it helps ^_^

Answer:

6 and 7

Step-by-step explanation:

Answer:

-0.4 or 2.3

Step-by-step explanation:

simple

each box is 0.1 unit

Answer:

Step-by-step explanation:

The answer is where the graph cuts the x-axis.

I can't see it very well but it looks like x = -0.4 and 2.3.

Answer:

A. EF

Step-by-step explanation:

Answer:

EF

Step-by-step explanation:

The reason is because EF and BC are in the same plane

Answer:

a) ¿cuanto dinero aporto el tercer amigo?

= $ 8,000

b) ¿Cual de los tres hizo el mayor aporte?

El segundo amigo hizo la mayor contribución.

c)¿cuanto mas puso en relación con que el que aporto menos?

El tercer amigo hizo la menor contribución

Step-by-step explanation:

De la pregunta, se nos dice:

Dinero total requerido: $ 72,000

El primer amigo contribuyó: 1/3 si el dinero era necesario

Por lo tanto, el primer amigo contribuyó:

1/3 × $ 72 000 = $ 24 000

El segundo amigo contribuyó con 5/6 del resto

La fracción que representa el resto = 1 - 1/3 = 2/3

Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9

La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9

Por lo tanto, la cantidad que contribuyó el segundo amigo =

5/9 × $ 72 000 = $ 40 000.

a) ¿cuanto dinero aporto el tercer amigo?

Esto se calcula como:

$ 72,000 - ($ 24,000 + $ 40,000)

$ 72 000 - $ 64 000

= $ 8,000

Por lo tanto, el tercer amigo aportó $ 8,000.

b) ¿Cual de los tres hizo el mayor aporte?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por tanto, el segundo amigo hizo la mayor contribución.

c) ¿cuanto mas puso en relación con que el que aporto menos?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por lo tanto, el tercer amigo hizo la menor contribución.

Step-by-step explanation:

The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.

by looking the fig we can determine various sides and angles as all are joined together.

Answer:

The marked price is Rs 823.86

Step-by-step explanation:

Let the cost price be Rs x. The marked price of the mobile is 25% above its cost price. Therefore:

The marked price = x + 25%(x) = 1 + 0.25x = 1.25x

When the mobile phone is sold at a gain of 10%. the profit is Rs 725, to find the cost price we use:

x + 10%(x) = 725

x + 0.1(x) = 725

1.1x = 725

x = 725/1.1 = 659.09

The cost price is Rs 659.09. Therefore the marked price is given as:

Marked price  = 1.25x = 1.25(659.09) = 823.86

The marked price is Rs 823.86

Answer:

−5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9

Add 1 to all sides

−6+1 < x − 1+1 < 9+1

−5 < x < 10

Answer:

B

Step-by-step explanation:

Add one to everything

-5 < x < 10

Best of Luck!

Answer:

Twenty-seven and a half million metric tons of apples are eaten fresh.

Step-by-step explanation:

The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:

[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]

[tex]m = 27,500,000\,m-ton[/tex]

Twenty-seven and a half million metric tons of apples are eaten fresh.

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

............................................................................................

hope it helpssss

Mark it as brilliant answer plzzz

ФωФ

Answer:

27°

Step-by-step explanation:

arc length = circumference × fraction of circle

let x be the central angle, then

2πr × [tex]\frac{x}{360}[/tex] = 6.6

2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6

88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )

88x = 2376 ( divide both sides by 88 )

x = 27

Thus central angle is 27°

Answer: Width= 7 in.

               Length= 10 in.

Step-by-step explanation:

[tex]l=w+3[/tex]

The perimeter of the rectangle is 34 inches.

[tex]2(w+l)=34[/tex]

substitute

[tex]2(w+w+3)=34[/tex]

[tex]2(2w+3)=34[/tex]

distributive property [tex]a(b+c)=ab+ac[/tex]

[tex]2\cdot 2w+2\cdot 3=34[/tex]

[tex]4w+6=34[/tex]

[tex]4w+6-6=34-6[/tex]

[tex]4w=28[/tex]

divide 4 on both sides

[tex]w=7[/tex]

Width is 7 inches

substitute w=7 in equation [tex]l=w+3[/tex]

[tex]l=7+3[/tex]

[tex]l=10[/tex]

Length is 10 inches

Answer:

17) #1 = 5

#2 = 49

18) Median= 50.5

Range = 88

Step-by-step explanation:

17) #1 - There are 5 3’s on the leaf side.

#2 - The number that is shown the most times is 49

18) There are 30 numbers in the stem and leaf plot, so the median falls between numbers 15 and 16.  In this plot, those numbers are 50 and 51.  So the median is 50.5.

The data ranges from 10 to 98.  98-10=88

Answer:

313/7

Step-by-step explanation:

Here, we are interested in turning the wordings of the statement to numeric values.

We take it one at a time.

Sum of 35 and 1/5(35) = 35 + 7 = 42

This is added to 1/7(11 + 8)

= 1/7(19) = 19/7

So we have;

42 + 19/7 = (294 + 19)/7 = 313/7