There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at 2$ each while the other two sold the melons at 2 for 5$. find the total amount of money collected fro. the sales of all melons.​

Answer:

x = -2

Step-by-step explanation:

2x + 5 = 1 ( subtract 5 from both sides )

2x = 1-5

2x = -4 ( divide both sides by 2 )

2x ÷ 2 = -4 ÷ 2

x = -2

Answer: x = -2

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.

Since 5 is being added to 2x, we subtract 5

from both sides of the equation to isolate the 2x.

On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.

So we have 2x = -4.

Now we can finish things off by just

dividing both sides of the equation by 2.

On the left, the 2's cancel and on the right, -4 divide by 2 is -2.

So x = -2.

Answer:

7 is the correct answer

multiply 500 by 4 to know how much is needed in grams first

500×4 = 2000

convert 2000grams to kilograms

since 1000grams make 1 kilograms....then divide 2000 by 1000

which would give you 2000/1000

answer = 2kg of sugar

Answer:

The answer is 2

Step-by-step explanation:

Answer:

speed = distance/time

distance = 60 miles

time = 1.5 h

speed = 60/1.5

= 40 miles per hour

so the answer in the pic is the correct answer

The equation of line is y = 40x and the unit rate of speed of travel is given by A = 40 mph

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 1.5 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 60 / 1.5 )

Slope m = 40 miles per hour

So , the speed of the travel is 40 mph

And , the equation of line is y - y₁ = m ( x - x₁ )

y = 40x , where x is the number of hours

Hence , the speed of the travel is 40 miles per hour

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Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

Answer:

f(2) = 18

Step-by-step explanation:

To evaluate f(2) , substitute x = 2 into f(x), that is

f(2) = 3(2 + 4) = 3 × 6 = 18

Answer:

6km

Step-by-step explanation:

==>Given:

Map scale = 1 : 200,000

Distance on map between the park and the theatre = 3cm

==>Required:

Real life distance between the town and the theatre in km

==>Solution:

Note: the map scale given means 1cm on the map represents 200,000 cm in real life.

For a map distance of 3 cm between the town and the theatre, the real life distance would be:

3 × 200,000 = 600,000 cm

=>Convert to km

Thus, 100,000cm = 1km

Therefore, 600,000cm = 6km

Real life distance between the town and the theatre = 6km

Answer:

  [tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

  [tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]

This can be rearranged to ...

  [tex]\dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30[/tex]

Then, multiplying by 1 h gives the solution ...

  t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

the answer is:

d. 900/? hours

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

[tex]a_{n} =a_{1} *r^{n-1}[/tex]

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]

Hope this helps!

Answer:

✔ 128

into the  

✔ small

tank.

After the 32 minutes, how much oil is in the large tank?  

✔ 472

gallons

Step-by-step explanation: Just did it on Edge

Using the given flow rate and time we found that after a period of 32 minutes 128 gallons of oil is moved from large tank to small one. The oil  in large tank after 32 minutes is 472 gallons.

Rate of work done is the amount of work done per unit time

rate of work done = amount of work / time taken

Given that flow rate is positive when oil is moving in large tank and rate of flow is negative when oil is moving in small tank

Given that flow rate is recorded -4 gallons per minute, which is negative .

It means that the oil is flowing in the small tank.

Rate of flow, r is 4 gallons per minutes , here work is oil flowing into a tank

Rate of flow, r  = oil flown in a tank / time taken

Given that time, t = 32 minutes

∴ rate of flow × time taken = Oil flown in small tank

⇒ r× t = oil flown in small tank = 4 × 32 = 128 gallons

Initially oil in large tank = 600 gallons

Thus, 128 gallons are moved from large tank to small tank in 32 minutes

After 32 minutes remaining oil in large tank = 600 - 128 = 472 gallons

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Answer:

8ab+12a-2b-3

Step-by-step explanation:

(4a–1)(2b+3)

Use the FOIL method:

First: 8ab

Outer: 12a

Inner: -2b

Last: -3

8ab+12a-2b-3

Answer:

No

Step-by-step explanation:

here, we are required to find the range of values for which

The range of values for which x²–5x + 6 < 0

is at; x < 3

x2–5x + 6 < 0

By solving the expression quadratically; we have;

x² -3x -2x +6 < 0

By factorization;

(x - 2)(x - 3) < 0

Therefore;

The range of values for which x²–5x + 6 < 0

is at;

x < 3

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Complete question is:

Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3 , she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?

Answer:

when x = 5; both expressions are equivalent and equal to 14

Step-by-step explanation:

We are told the expressions are:

(x + 4 + x) and (6 + 2x - 2).

We are also told that when x = 3,both expressions are equal and have a value of 10 each.

Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.

So when x = 5,let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);

So, we have; 6 + 2(5) - 2 = 6 + 10 - 2 = 14

So when x = 5; both expressions are equivalent and equal to 14

Answer:

1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.

2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.

3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis

4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.

5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units

6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.

Step-by-step explanation:

Given that:

Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.

1. [tex]y = - (x - 1)^{2}[/tex]  Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.

2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.

3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.

4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.

5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.

6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.

Answer:

the other guys answer

Step-by-step explanation:

sorry we have been about your car extended warranty this is are last call

Answer:

2x + y - 4 = 0

Step-by-step explanation:

slope = -2

y = mx + b

2 = -2(1) + b

4 = b

y = -2x + 4

2x + y - 4 = 0

Answer:

the answer is 2x + y - 4 = 0

Step-by-step explanation:

me and my friend did the math and got 2x + y - 4 = 0

Answer:

AC = 90, AB = 90, CAB = 180

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

Answer:

Correct option: C -> 2

Step-by-step explanation:

The first equation is:

[tex]x^2+y^2=363[/tex]

And the second equation is:

[tex]x-y+1=0[/tex]

From the second equation, we have:

[tex]y = x + 1[/tex]

Using this value of y in the first equation, we have:

[tex]x^2 + (x+1)^2 = 363[/tex]

[tex]x^2 + x^2 + 2x + 1 = 363[/tex]

[tex]2x^2 + 2x= 362[/tex]

[tex]x^2 + x - 181 = 0[/tex]

Calculating the discriminant Delta, we have:

[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]

We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.

Correct option: C.

(If the system of equation is actually:

[tex]x^2+y^2=36[/tex]

[tex]3x-y+1=0[/tex]

We would have:

[tex]y = 3x + 1[/tex]

[tex]x^2+(3x+1)^2=36[/tex]

[tex]x^2+9x^2+6x+1=36[/tex]

[tex]10x^2+6x-35=0[/tex]

[tex]\Delta = 36 + 1400 = 1436[/tex]

We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.

Correct option: C.)

Answer:

A. 0

second part: C. The boats' paths do not cross each other

Answer:

D. All living things are made up of cells.

Step-by-step explanation:

D. All living things are made up of cells.

O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.

The cell theory states that;

O All living organisms are made up of cells and they may be unicellular or multicellular.

O The cell is the basic structural and functional unit of life.

Cells arise from pre-existing cells.  

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

Answer:

its actaully c because its left alone once you subtract

The correct answer is option (D).

A triangle is a polygon with 3 sides.

Given the triangles ΔABE and ΔACD.

The triangle ΔABE is a smaller-scaled replica of the triangle ΔACD, therefore, the triangles ΔABE and ΔACD are similar triangles.

Since the triangles are similar, the ratio of their corresponding sides is proportional.

Therefore,

BE/CD = AB/AC

Or, BE = CD· (AB/AC)

Hence, the correct answer is option (D).

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Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Answer:

2(t + 6) - 5

Step-by-step explanation:

If we are strictly following the directions, we first add t and 6 together:

t + 6

Then we multiply by 2 AFTER we add the 2 together:

(t + 6)2

At last, we subtract 5 from everything after:

2(t + 6) - 5

And we have our answer!

Answer:

2(t+6)-5

Step-by-step explanation:

The unknown number is t

=> Adding 6 will make it t+6

=> Multiplying by 2 will make it 2(t+6)

=> Subtracting 5 will make it 2(t+6)-5

Answer:

B

Step-by-step explanation:

Answer:2x+4(C)

Step-by-step explanation:

Since all of the variables have integer exponents that are positive this is a polynomial.

Answer:

i'm sorry but the answer is 1.152

Answer:

[tex]1.152[/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]

hope this helps you.

Answer:

B

Step-by-step explanation:

Set up the equation

z = [tex]\frac{kx^2}{y}[/tex]

Plug in the numbers to find the value of k

3 = [tex]\frac{k(2^2)}{4}[/tex]

12 = 4k

3 = k

Solve to find the value of z

z = [tex]\frac{3(4^2)}{9}[/tex]

z = [tex]\frac{3(16)}{9}[/tex]

z = 48/9

z = 16/3

Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

Just take the function, and wherever it says 'x', substitute '-3' .

Then it'll say  f(-3) = -2(-3)² - 7(-3) + 6 .  Surely you can solve that.

As my old Electronic Circuits professor used to tell us, back around 1962:

"If  

f(x) = -2x² - 7x + 6

then

f(cow) = -2cow² - 7cow + 6 ."

Of all the things I learned from him, this is the thing I remember most.  

Answer:

Solution,

[tex]f(x) = - 2 {x}^{2} - 7x + 6 \\ f( - 3) = - 2 \times {( - 3)}^{2} - 7 \times ( - 3) + 6 \\ \: \: \: \: \: = - 2 \times 9 - ( - 21) + 6 \\ \: \: \: = - 18 + 21 + 6 \\ \: \: \: = 3 + 6 \\ \: \: \: \: \: = 9[/tex]

hope this helps...

Good luck on your assignment..