Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle?
A. 144 blocks
B. 100 blocks
C. 24 blocks
D. 20 blocks

Step-by-step explanation:

Price of 3 kg carrots = 1.80

Price of 1 kg carrots = 1.80 ÷ 3 = 0.6

Price of 2 kg carrots = 0.6 x 2 = 1.2

Remaining amount = 3.45 - 1.2 = 2.25

Price of 5 kg potatoes = 2.25

Price of 1kg potatoes = 2.25 ÷ 5 = 0.45

Now

Cost of 4 kg of carrots = 0.6 x 4 = €2.4

Cost of 2 kg of potatoes = 0.45 x 2 = €0.9

The total cost of 4kg of carrots and 2 kg of potatoes is £3.30

Total cost is the product of the cost of each unit and the number of units purchased.

As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,

[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]

                              [tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]

Thus, the cost of 1 kg carrot is £0.60.

Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,

[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]

[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]

Further, the cost of each kg of potatoes can be written as,

[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]

                                      [tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]

Thus, the cost of each kg of potatoes is £0.45.

Further,  the total cost of 4kg of carrots and 2 kg of potatoes can be written as,

[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]

Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30

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we have: ∠P + ∠Q + ∠R = 180°

<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°

<=> 4x – 14 + 5x + 6 + x - 2 = 180°

<=> 10x - 10 = 180°

<=> 10x = 190

<=> x = 19°

So: ∠R = (x - 2)° = (19 - 2)° = 17°

ok done. Thank to me :>

Answer:

The coefficients are 5, -4, and -2.

Step-by-step explanation:

Coefficients refer to the numbers that are directly in front of variables. (Variables are any given letter, in a math problem, that represent unknown number values).

With this being said, the coefficients in this expression are 5, -4, and -2.

Hope this helps you :)

Answer:

131 minutes, an = 15 + (n - 1)(4)

Step-by-step explanation:

each time she is increasing by 4 minutes

we can write this equation like this since we have the difference and the first part:

an = 15 + (n - 1)(4)

note

"an" (or ace of n)'s n is in subscript and is written just like a superscript but on the bottom

we can plug in this equation to find ace of 30 (a30)

15 + (30 - 1)(4)

15 + 29*4

116 + 15

a30 = 131

Answer:

1.) 192 minutes

2.) If it's the 9th day : 69 minutes

If it's the 10th day : 64 minutes

Step-by-step explanation:

1.) 5th Day - 32 minutes

32*6= 192 minutes on the 30th day.

2.) If it's the 9th day -

3rd Day - 23 minutes

23*3= 69 minutes

2.)If it's the 10th day -

5th day - 32 minutes

32*2= 64 minutes

Answer:

8  chicken and 4 steak .

Step-by-step explanation:

8 x 14.99 =  119.29

4 x 25 = 100

12.

Answer: 30.25π

11π = circumference

diameter * π = circumference

diameter = 11

radius = 5.5

Area = 5.5 * 5.5 * π

Area = 30.25π

13.

Answer: 52π

Area = radius * radius * pi

Area = 676π

Radius = 26

Diameter = 2 * radius

Diameter = 52

Circumference = 52π

14.

Answer: 38π

Area = radius * radius * pi

Area = 1134.11

Radius ≈ 19

Diameter = 38

Circumference = 38π

15.

Answer: 72.25π

Circumference = diameter * π

53.41 = diameter * π

Diameter ≈ 17

Radius = 8.5

Area = radius * radius * π

Area = 72.25π

Answer:

Step-by-step explanation:

Answer:

(-8,7)

(4,3)

(16,-1)

Step-by-step explanation:

I feel as though there is a formula for this but I cannot remember at the moment so I am gonna do it the long way!

2(-8) + 6(7) =26

-16 + 42 + 26

26 = 26 Yes

____________

2(-1) + 6(4) =26

-2 + 24 =26

22 = 26 No

____________

2(2) + 6(5) =26

4+30 = 26

34 =26 No

____________

2(4) + 6(3) =26

8+18

26 = 26 Yes

____________

2(16) +6(-1) =26

32 + (-6)

26=26 Yes

____________

Hope this helps!!

Please correct me on any mistakes I enjoy learning from them:)

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

Answer:

y=3/4x-5.5 this should be your answer

Step-by-step explanation:

sorry of im wrong

have a wonderfull day!

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 4/5 of a dollar is 80 cents.

Hoped this helped.

[tex]GeniusUser[/tex]

The value of cents in 4/5 dollars would be 80 cents.

Used the concept of measurement unit that states,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that;

1 dollar = 100 cents

Hence we get;

The number of cents in 4/5;

4/5 x 100

4 x 20

80 cents.

Therefore, 4/5 of a dollar is 80 cents.

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#SPJ3

Step-by-step explanation:

the y-intercept is the y value when x = 0.

the x-intercept is the x Banjul when y = 0.

now we only need to put the corresponding 0-value into the equations and calculate the other value.

a.

x = 0, y = 10

y = 0, x = 5 because

0 = 10 - 2x

2x = 10

x = 5

b.

x = 0, y = 2 because

9y = 18

y = 0, x = 18/4 = 9/2 because

4x = 18

c..

x = 0, y = -22 because

-2y = 44

y = 0, x = 44/6 = 22/3 because

6x = 44

3x = 22

d.

x = 0, y = -4/12 = -1/3 because

0 = 4 + 12y

y = 0, x = 4/2 = 2 because

2x = 4

x = 2

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

Step-by-step explanation:

Make me brainlest.

Answer:

hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2

Step-by-step explanation:

Answer: Adelita

Step-by-step explanation:

because if its going in order of the names by jobs then its adelita

Answer:

i think x = 17

Step-by-step explanation:

(2x-4)+(3x+20)+(5x-6) = 180°

10x+10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

I estimate about 27 cm

have a nice dayyyy

Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.

Answer: no

Step-by-step explanation:

the angle is too steep

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]

[tex] \frac{25}{5} = 5[/tex]

so:

[tex] \frac{x}{4} = 5[/tex]

x=5×4

x=20

and...

[tex] \frac{y}{3} = 5[/tex]

y=3×5

y=15

The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

From the complete question, the expression of the area (A) in terms of variables a, b and h is:

[tex]A = ah - bh[/tex]

Factor out h from the expression on the right-hand side

[tex]A = h(a - b)[/tex]

Divide both sides of the equation by (a - b)

[tex]\frac{A}{(a - b)} = h[/tex]

Remove the bracket

[tex]\frac{A}{a - b} = h[/tex]

Rewrite the above equation as follows:

[tex]h =\frac{A}{a - b}[/tex]

Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

Read more about change of subject at:

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Answer:

27

Step-by-step explanation:

3 * 9 = 27

Hope this helps!

Answer:

The bold word help you

Step-by-step explanation:

Consider the numbers 2, 23, 234, 2345, 23456, 234567.

Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9. For example 6, 12, 15, 21, 24, 30 are all divisible by 3 but none of them is divisible by 9.

6 is divisible by 3 but not by 9 because 6 is greater than 3 but smaller than 9

Answer:

x=(-79/12) or -6 7/12

Step-by-step explanation:

12x+91=12

     -91   -91

12x=-79

(12x/12)=(-79/12)

x=(-79/12) or -6 7/12

Answer:

10080.000

Hope this helps you! Happy holidays

Answer: 15.54 Km

Step-by-step explanation:

740*21 = 15,540 = 15.54 Km

If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso

Step-by-step explanation:

1a)

it means that after 14 hours into the experiment the temperature of the liquid reaches exactly the temperature of the surrounding room at that moment : 10° F.

1b)

it is the point (14, 10), and I know, because both lines touch or cross each other at that point, as due to the equality relation both curves contain this point (meaning they have the same result value 10 for the same function argument 14).

4a)

because the slope of the line segment at the end is larger (making the line go up at a much steeper angle) than fire the line segment at the beginning.

4b)

it looks like the experiment started at hour 0 with the liquid being at around -5° F.

and it reached +10° F after about 10 hours.

the x (time) difference is +10 (from 0 to 10).

the y (temperature) difference is +15 (from -5 to 10).

so, the slope at the beginning of the excitement is about +15/+10 = 3/2.

and at the end of the experiment it looks like the last line segment starts at about 20 hours with the liquid at about -3° F. and it ends at hour 30 and at 30°F.

the x (time) difference is +10 (from 20 to 30).

the y (temperature) difference is +33 (from -3 to 30).

so, the slope at the end of the excitement is about +33/+10, which is much bigger than 15/10 at the beginning.