Solve for b. ab + c = d b = b = a + b =

Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.

Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.

But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.

Add that to the previous 12 feet calculated to get 60.

Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.

The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2

81/2

40.5.

Add to the previous 60 we got and that makes 100.5 square feet.

Hope this helped!

Answer:

B. 6.

Step-by-step explanation:

When x = 3 the prediction is 2.5(3) - 1.5

= 6.

The value of y at x = 3 is,

⇒ y = 6.0

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

A data set consists of the following data points:

⇒ (2, 4),(4, 7), (5, 12)

And, The line of best fit has the equation;

⇒ y = 2.5x - 1.5.

Now, At x = 3;

⇒ y = 2.5x - 1.5.

⇒ y = 2.5 × 3 - 1.5.

⇒ y = 7.5 - 1.5

⇒ y = 6.0

Thus, The value of y at x = 3 is,

⇒ y = 6.0

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Answer:

60cm^2

Step-by-step explanation:

15 times 8 = 120

divided by 2  = 60

Answer:

60

Step-by-step explanation:

8x15=120

120/2=60

Answer:

15/9

Step-by-step explanation:

let the recurring decimal be (n)

we need to find a number that will subtract the number to remove the decimal

the nearest number is 16.666...

because the decimal has moved one step ahead, we will call the new number (10n)

16.666 - 1.666 = 15.

10n - n = 9n.

=15/9

Answer:

28 square meters

Step-by-step explanation:

7 x 4= 28

28 square meters

x = number of people went to movies

equation

6.25x + 12 = 30.75

6.25x = 30.75 - 12

6.25x = 18.75

      x = 18.75 / 6.25

      x = 3

answer

3 people

Answer:

6.25x + 12 = 30.75

3 people

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know that a^ b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Now rewriting 16 as 2^4

2^4^3/4

2 ^ (4*3/4)

2^3

8

Answer:

Step-by-step explanation:

The question is incomplete. find the complete question below;

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

The equation of a line is represented as y = mx+c where m is the slope and c is the intercept. our ficus is to get both the slope and the intercept and then substitute then into the equation of the line.

First let us get the slope of the known line:

Rewriting the equation 2x + 12y = −1 in its standard form, we have;

12y = -2x-1

y = -1/6 x - 1/12

the slope of the line is -1/6

Since this line is perpendicular to the unknown line, the slope of the unknown line say M = -1/(-1/6) = 6

For the intercept

we will substitute the point (0,9) and the slope M = 6 into the equation

y = Mx+c to get the value of the intercept.

9 = 6(0)+c

c = 9

Finally, we will find the equation of the line perpendicular to the given line using the equation y = mx+c

Substituting m = 6 and c = 9 into the equation, we have y = 6x+9 or y-6x = 9

The unknown equation in slope intercept form is y=6x+9

The new equation of the perpendicular line is y = 6x + 9.

The slope of the line is determined from the given equation of the line.

[tex]2x + 12 y = -1\\\\12y = -1 - 2x\\\\y = \frac{-1}{12} - \frac{2x}{12} \\\\y = \frac{-1}{12} - \frac{x}{6}\\\\M = \frac{-1}{6}[/tex]

[tex]M_1 = \frac{-1}{M} = \frac{-1}{-1/6} = 6[/tex]

[tex]y = mx + c\\\\9 = 6(0) + c\\\\9 = c\\\\y = 6x + 9[/tex]

The complete question is below:

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

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Answer:

80 (I think)

Step-by-step explanation:

I would just go to x=7 and look up until i reach the line of best fit. The intersection is at y=80

The score of student is 80 marks if she studied for 7 hours.

Given,

The scatter plot shows the time spent studying compared to test scores for Mr. Stone’s eighth-grade class. From the plot it is clear that time is shown on x  axis and test scores is shown on Y axis.

We have to predict the score that a student would earn if he studied for 7 hours.

Here look at the Scatter plot we find that 7 hours is on x axis and the respective line of best fit of test score is passing through score 80.

Hence if a student is studied for 7 hours he would earn 80 marks.

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Multiply the values

2 x 7 = 14

He would drink 14 litres of water in a week

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Answer:

95 ft 10 in

Step-by-step explanation:

We need to add the lengths of the front of the house and both sides of the house:

50 ft 8 in + 2(22ft + 9in)

= 50ft + 8 in + 44ft + 18in

= 94ft + 22in

12 inches = 1 foot

22 inches = 1 ft 10 in

Therefore, the length of the gutter he must buy must be:

94 ft + 1 ft + 10 in

= 95 ft 10 in

Answer:

1/8 = 12.5%

Step-by-step explanation:

There are 8 letters in the word MONASTIC.  One of the letters is A.

So the probability is 1/8, or 12.5%.

Answer:

1. A

2. H

3.B

4. H

5. A

Those are the answers

Step-by-step explanation:

1. 30 - 2(-8)= 46

2. BODMAS applied 6-7 =-1

3. 45/-5=-9

4. Sum is h +73

5.BODMAS applied 60 /6 = 10

Answer:

Step-by-step explanation:

(7x³-8x-5)+(3x³+7x+1) =7x³ - 8x - 5 + 3x³ + 7x + 1

Combine the like terms

      = 7x³ + 3x³ - 8x + 7x - 5 + 1

Now, add/ subtract the like terms

     = 10x³ - x - 4

Answer:

[tex]10x^{3} -x-4[/tex]

Step-by-step explanation:

[tex](7x^3-8x-5)+(3x^3+7x+1)[/tex]

[tex]7x^3+-8x+-5+3x^3+7x+1[/tex]

[tex](7x^{3} +3x^{3} )+(-8x+7x)+(-5+1)[/tex]

[tex]10x^{3} -x+-4[/tex]

Answer:

9 diagonals

Step-by-step explanation:

Number of Diagonals = n(n-3)/2

For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

Answer:  

9 diagonals  

Bit by bit clarification:  

Number of Diagonals = n(n-3)/2  

For instance, in a hexagon, the complete sides are 6.

Along these lines, the complete diagonals will be 6(6-3)/2 = 9.

Answer:

$839.95

Step-by-step explanation:

The dining set costs 785.

The sale tax is 7%

This means that the tax costs 7% of 785.

Sales tax: 785*0.07=54.95

Add to original price to find the total price.

54.95+785=839.95

The cost to purchase the dining set is $839.95

Answer:

835.95

Step-by-step explanation:

Answer:

80 & 105

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.

Answer:

The answer for it is 60.

Step-by-step explanation:  

5*0+20*0+60

And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .

More explanation:

At the time of launch, x will be 0 because the object have not  been thrown yet.So its height will be 60.

Answer:

This guy is a fooooool the real answer is

Step-by-step explanation:

x=8 and y=−1

so : (8,-1)

From the system of equation 2x + 4y = 12 and  y equals StartFraction one-fourth EndFraction x minus 3. The solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

The system of equations is given as:

2x + 4y = 12        -------  (1)

[tex]\mathbf{y = \dfrac{1}{4}x - 3} \ \ \ ----(2)[/tex]

So, from equation (1), we will replace the value of y which is [tex]\mathbf{ \dfrac{1}{4}x - 3} }[/tex] in order to be able to solve for x.

i.e.

[tex]\mathbf{2x + 4\Big ( \dfrac{1}{4}x -3 \Big) = 12 }[/tex]

Open brackets

2x + x -12  = 12

3x - 12 = 12

3x = 12 + 12

3x = 24

x = 24/3

x = 8

Now, we will replace the value of x into equation (2) to be able to solve for y.

[tex]\mathbf{y = \dfrac{1}{4}(8) - 3} }[/tex]

y = 2 -3

y = -1

Therefore, the solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

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Answer:

Step-by-step explanation:

-3(3/6) + 4(3/5)

-3(1/2) + 4(3/5)

-3/2 + 12/5

-15/10 + 24/10

9/10

Answer:

Step-by-step explanation:

x-6)3x²-24x+35 (3x-6

     3x²-18x

   -      +

  __________

          -6x+35

         -6x +36

        +     -

       ________

              - 1

      _________

quotient=3x-6

remainder=-1

Answer:

$171

Step-by-step explanation:

=PRN

950×0.06×3

hope this helps and makes sense :))

Answer:

$171

Step-by-step explanation:

SI=950×6×3/100

=$171

HOPE IT HELPS

Answer:

[tex]l = \frac{S}{\pi r} - r[/tex]

Step-by-step explanation:

Given the surface area of a cone expressed as S = [tex]\pi r^{2} +\pi rl[/tex] where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;

[tex]S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\[/tex]

The final expression gives the value of the slant height.

Answer: l=s/3.14-r2

Step-by-step explanation:

did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)

Answer:

A y = -3/4x + 6

Step-by-step explanation:

We know that the plot decreases from left  to right so the slope is negative

That eliminates choices B and D

We also know that the y intercept is between 5 and 8  

That eliminates choice C

Answer:

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)