what is 75 divided by 5

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

Answer:

15/50

Step-by-step explanation:

5*3=15

5*10=50

so 15/50.

Answer:

x=(h-12y-2)/4

Step-by-step explanation:

h=4x+12y+2

4x=h-12y-2

x=(h-12y-2)/4

Answer:

Step-by-step explanation:

When two lines intersect, the non adjacent angles formed are called vertical angles and they are congruent.

∠FZG = ∠HZJ   {Vertical angles are congruent.

∠FZG = 38°

Hi there!

The ratio of the base to the height is 4:1, so:

12 cm : x cm

12/4 = 3, which is the scale. Thus, x = 3 cm.

Find the area using the equation A = b × h

A = 3 × 12 = 36 cm²

Answer:

Step-by-step explanation:

The table shows that Mrs. Garcia types 70 words in the first minute and 70 additional words in each additional minute.

That is, in x minues, Mrs. Garcia types 70x words:

  y = 70x . . . . words Mrs Garcia can type in x minutes

__

When x=49, the number of words Mrs. Garcia is expected to type is ...

  y = 70×49 = 3,430

She will type 3,430 words in 49 minutes.

I hope this step by step explanation helps.

A plane travels 800 meters along the runway before taking off, then the distance travelled from the starting point will be equal to 1793.24 meters.

Velocity is the rate at which a moving object's direction changes as perceived from a certain vantage point and measured by a particular unit of time. Kinematics, the area of special relativity that investigates how bodies move, starts with the fundamental idea of speed.

In order to be explained, the scientific vector quantity known as velocity needs to have both a magnitude and a direction.

As per the given data in the question,

Distance travelled by plane = 800 meters

Use the equation,

a² = b² + c² -2bc cos A

d² = 800² + 1000² - (2 × 800 × 1000 × cos 170°)

d² = 1640000 - 1600000(cos 170°)

d² = 3215692.405

d = 1793.24

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Answer:

see below

Step-by-step explanation:

x < -3  for the first equation

x > 4 for the second equation

your answer is 740 {:

Step-by-step explanation:

let x be the original price

then we write our equation

x-60%x=200 (x=100%x)

100%x-60%x=200

40%x=200

(40/100)x=200

x=(200*100)/40

x=20000/40=500

so the original price was $500

Answer:

B. 432 feet

Step-by-step explanation:

36 yards * 3 = 108 feet

108 feet * 12 = 1296 inches

Answer:

4 in / min

^Speed of snail

1min × 60 = 1hour

(4 in / min) × 60 = 240 in / hour

12 in = 1 ft.

240in / 12 = 20ft. every. hour OR 20ft. / h

Step-by-step explanation:

Hence, the value of x ix 5/21.

[tex]\sf \leadsto \dfrac{7x - 3}{2} = \dfrac{-2}{3}[/tex]

[tex]\sf \leadsto 3(7x - 3) = -2(2)[/tex]

[tex]\sf \leadsto 21x - 9 = -4[/tex]

[tex]\sf \leadsto 21x = -4 + 9[/tex]

[tex]\sf \leadsto 21x = 5[/tex]

[tex]\sf \leadsto x = \dfrac{5}{21}[/tex]

Answer:

5/42

Step-by-step explanation:

7x - 3/2 = -2/3          (Take -3/2 to the other side so it becomes +3/2)

7x = -2/3 +3/2          (Add the two fractions)

7x = 5/6                    (7 is taken to the other side so 5/6 ÷ 7)

x = 5/42

Answer:

3

Step-by-step explanation:

there are only x y and z used in the expression no matter how many times they multiply.

Answer: 0.05

Step-by-step explanation:

1) Re-arrange the formula given to find the rate (r)

I = Prt

becomes r = I / Pt

Now we add in the values we know

P = 3000, t = 3 years, I = 450

r = 450 / ( 3000 × 3 )

r = 0.05 or 5% / year

Answer:

4 sweets are orange in jar B

Step-by-step explanation:

Unless we are missing more information (which I think we may be as this is a simpler question)

10 - 7 = 10 - 7 = 3

If you need it in words:

Ten minus seven

- or -

Seven subtracted from ten

Answer:

c both point and line symmetry.

Answer:

(D) 6yr

Step-by-step explanation:

Answer:

y = -6x^2 + 15x -5

Step-by-step explanation:

equation step 1 for parabola

y2-y1 /x2-x1

= 1 - 4 / 0 - - 1

= -3 / 1

y = -3

We try again different points  

y2-y1 / x2-x1

= 7 - 1 / 2 - 0

= 6 / 2

y = 3

we can see that one side is descending and 1 side is ascending

The start of the parabola is 0,1 as x = 0 and crosses the line.

we try again

y2-y1 /x2-x1

7-1 / 2-0

= 6 / 2

y = 3

You should know that a parabola is determined by 3 points, so unless your points happen to be collinear, they will determine a parabola. A straight forward, if not always the easiest way would be to take the general equation

y = ax^2 + bx + c

plug in each point, eg.y = y1   and x = x1   eg) y = y2 and x = y2   eg) y = y3 x=x3

Top equation re-used last see at end.

4 = a(-1)^2  + b(-1 ) + c  = a+b+c=4

1  = a(0)^2 +b(0) + c = c =1

7 = a(2)^2 + b(2) + c = 4a+2b=7

a= -1-0 = -1   b = -1-0 = -1  and 4-1 = 3

-a +-b = 3

2nd set of equations

4a-0a = 4a

2b-0b = 2b

7-1 = 6

4a +2b=6  and previous

-a +-b = 3  here we can multiply by -2 to get 2b equality to 1st equation

2a + 2b = -6

4a + 2b = 6

2a = -12

2a = -12 / 2

a = -6

plug a

4(-6) + 2b = 6

-24 + 2b = 6

2b = 6 +24

2b = 30

b = 15

then put a + b+ c into top equation

(-6) + (15) + c = 4

9 + 0  = 4

9 -9 = 4 -9   cancel

c = -5

Then put into first equation as c and complete equation

To find that;

y = -6x^2 + 15x -5   =   is our equation of the parabola.

This is how to solve your two linear equations in three unknowns.

The equation of parabola passing through (-1, 4), (0, 1), and (2, 7) is y = 2x² - x + 1.

To find equation of parabola that passes through the given points, we use the general-form of quadratic equation: y = ax² + bx + c.

Since we have three points, we substitute the coordinates of each point into the equation to create a system of equations. Solve for a, b, and c:

Substitute (-1, 4), We get,

4 = a(-1)² + b(-1) + c,

4 = a - b + c,

Next, Substitute (0, 1):

1 = a(0)² + b(0) + c

1 = c

Next, Substitute (2, 7):

7 = a(2)² + b(2) + c

7 = 4a + 2b + c

Now, we have a system of equations:

a - b + c = 4          ...equation(1)

c = 1                      ...equation(2)

4a + 2b + c = 7     ...equation(3)

From equation(2), we know that c = 1. Substituting this into equation(1) and 3, we get,

a - b + 1 = 4

4a + 2b + 1 = 7

Solve equation(1) for a - b:

We get, a - b = 3,

Solve equation(3) for 4a + 2b:

4a + 2b = 6

Now we have a system-of-equations as :

a - b = 3

4a + 2b = 6

Solving the system for "a" and "b", We get,

a = 2; b = -1

Now we can write the equation of the parabola:

y = ax² + bx + c  ⇒  y = 2x² - x + 1,

Therefore, the required equation of parabola is y = 2x² - x + 1.

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Answer:

2/14

Step-by-step explanation:

when you scale the numerator and denominator down by 4, you just divide both of them by 4. So since 8 divided by 4 is 2 and 56 divided by 4 is 14, the answer is 2/14

Answer:

Step-by-step explanation:

Answer:

C. (1, 3) & (6, 3)

Step-by-step explanation:

A is incorrect as the points are only 1 unit apart on the x-axis. (3 - 2 = 1)

B is incorrect as the points are only 2 units apart on the x-axis. (3 - 1 = 2)

C is correct as the points are 5 units apart on the x-axis (6 - 1 = 5)

D is incorrect as the points are 4 units apart on the x-axis (5 - 1 = 4)

Hope this helped! You can also plot the points on graph paper and find the distance that way.

Answer:

here you go

Step-by-step explanation:

Algebra questions and answers. Write an equation of the line that passes through (4,5) and is parallel to the line defined by 4x+y=-2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

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The Answers are :

Answer:

9 and 36 = 9

35 and 42 = 7

100 and 120 = 20

84 and 42 = 42

Answer:

The final answer is 25000000.

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

10^6 = 1000000

25 x 10^6 = 25000000

Step-by-step explanation:

30x³y³z²+12x²y²z³-18x⁵y⁶z

6x²y²z(5xyz+2z²-3x³y⁴).

hope this helps you.

Answer:

11

Step-by-step explanation:

1. You could solve this as a way of just knowing that 6+11=17.

2. You could also solve this algebraically by subtracting 6 on both sides and getting y=11 because 17-6=11.

Answer:

y=11

Step-by-step explanation:

6+y=17

y=17-6

y=11