Solve each equation
6y-8-6-8y=4

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be .

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

Hope it helped!

Answer:

y=-2/5X-12

Step-by-step explanation:

M=x2-x1/y2-y1

  = -2-(-4)/4-9

  = 2/-5

C was given when u received the point (0, -12)

so C is -12

Answer:

y = -5/2x - 1

Step-by-step explanation:

First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].

We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when x is equal to 0. Now, we put our slope and y-intercept into the slope intercept equation:

y = mx + b: where b is the y-intercept and m is the slope

y = -5/2x - 1 is your answer

Hope this helps! :D

Answer:

[tex]0\leq x<\infty[/tex]

Step-by-step explanation:

The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].

I've attached a diagram to help you visualize the domain.

Answer:

400 is the number

Step-by-step explanation:

Is means equals and of means multiply

60 = 15% * W

Change to decimal form

60 = .15W

Divide by .15

60/.15 = .15W/.15

400= W

Length + width = 1/2 the perimeter:30/2 = 15

Area = length x width

List the factors of 50: 1, 2, 5, 10, 25, 50.

Find the two factors that when added together equal 15:

Dimensions are 5 cm by 10 cm.

See attachments for answer and math work.

Answer: x = 3 and y = 5

Step-by-step explanation:

Step-by-step explanation:

this is a rectangle. so, all things are symmetric.

EI = IG = FI = IH

IGF = IFG = IEH = IHE

therefore, since EI = FI

2x + 8 = 6x - 20

28 = 4x

x = 7

now,

EG = EI + IG = 2×EI = 2×(2×7 + 8) = 2×22 = 44

IFE is a complementary angle to IFG (together they have 90°).

and because IFG = IGF = 30°

IFE = 90 - 30 = 60°

Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

Answer:

1913.34

Step-by-step explanation:

1784x0.0725=129.34

129.24+1784.00=1913.34

Answer:

$10

Step-by-step explanation:

Considering the angles of the triangle, side AC has the greater length, as it is opposite to the greatest angle.

It is the side that is opposite to the angle with the greatest measure.

In this problem, angle B has the greatest measure, of 65º, hence side AC has the greater length, as it is opposite to angle B.

More can be learned about the length of triangles at https://brainly.com/question/305520

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Answer:

Side AC has the greatest length

Step-by-step explanation:

Answer:

37, 79, 7

Step-by-step explanation:

f(6) = 6² -6 +7

36-6+7 is 37

f(-9) = -9² -9+7

81-9+7 is 79

f(0) = 0² -0+7

0-0+7 is 7

Answer: a. The prices throughout the year of the items in a store.

Step-by-step explanation:

An input value cannot have multiple output values.

1)  [tex]\frac{11-13}{4-7}= \frac{2}{3}[/tex]

2) [tex]\frac{-2-7}{-10-(-7)}=\frac{-9}{-3} =3[/tex]

3) [tex]\frac{9-3}{-11-(-14)} =\frac{6}{3}=2[/tex]

4) [tex]\frac{8-4}{11-(-9)} =\frac{4}{20}= \frac{1}{5}[/tex]

ok done. Thank to me :>

Answer:

785/10=78.5

Step-by-step explanation:

You move the decimal point back a slot since your dividing by 10

Answer:

78.5

Step-by-step explanation:

i used a calculator bc im bad at lond division XD

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

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Answer:

  11.8 meters

Step-by-step explanation:

The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.

The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.

  (?)² + 34² = 36²

  (?)² + 1156 = 1296 . . . evaluate the squares

  (?)² = 140 . . . . . . . . . . subtract 1156 from both sides

  (?) = √140 . . . . . . . . . take the square root

  (?) ≈ 11.8 . . . meters

The length of the shadow is about 11.8 meters.

The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.

For a normal distribution:

Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164

Answer:

I believe it is 95%

Step-by-step explanation:

Answer:

12 km/minute

Step-by-step explanation:

In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.

Answer:

12 km per min

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

4(2x-5) = 5x + 4

First, use distributive property for the first part of the equation:

8x - 20 = 5x + 4  

Then, move everything to the left of the equation:

Remember, when you move something over an equals sign, the sign in front of the number changes.

8x - 20 - 5x - 4 = 0

Then, combine the like terms:

3x - 24 = 0

Move the -24 to the other side of the equation:

3x = 24

Finally, divide both sides by 3 to isolate the x.

3x/3 = 24/3

3 cancels out on the first half.

x = 24/3

x = 8

Hope this helps! Have a great day!

Answer:

x=8

Step-by-step explanation:

Step 1.

4(2x-5)=5x+4

8x-20=5x+4

Step 2.

Add 20 to both sides

8x-20=5x+4

8x-20+20=5x+4+20

Step 3.

Simplify add the numbers

8x=5x+24

Step 4.

Subtract 5x from both sides of the equation

8x=5x+24

8x-5x=5x+24-5x

Step 5

Simplify

combine like terms

3x=24

Step 6

Divide both sides of the equation by the same term

3x=24 3x/3=24/3

Step 7

Simplify

Cancel terms that are in both the numerator and denominator

divide the numbers

x=8

Answer:

pretty sure its A

Step-by-step explanation:

Answer is 15√2/2. I think.

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

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In the "1s" place,

1₅ + 3₅ = 4₅

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅

Putting everything together,

4321₅ + 343₅ = 10214₅

Hey there!

f(x) = -3|2x - 9| + 4

y = -3|2x - 9| + 4

y = -3|2(-5) - 9| + 4

y = -3|-10 - 9| + 4

y = -3|19| + 4

y = -57 + 4

y = -53

Therefore, your answer should be: f(x) = -53

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x = 14

y = 6

Step-by-step explanation:

*Property*

In a parallelogram:

Opposite sides are equal.

Since, the given figure is a parallelogram we can apply this property and equate:

1) 2y + 1 = 13

subtracting 1 from both sides:

=> 2y + 1 - 1 = 13 - 1

=> 2y = 12

dividing both sides by 2:

=> 2y/ 2 = 12/ 2

On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator

On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:

2) x = y + 8

We've got the value of y from equation 1).

Substituting it here:

=> x = 6 + 8

Answer:

Hence, we got the values of x and y as:

[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]