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Answer:

63 students

Step-by-step explanation:

84*75%=63

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Independent ;

(1, 3)

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

Using substitution method :

y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

Answer:

The expression in the form [tex]7^n[/tex]

 [tex]7^2\times \:\:7^6=7^n[/tex]      

Step-by-step explanation:

[tex]7^2\:\times \:7^6[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]7^2\times \:7^6=7^{2+6}[/tex]

So the expression becomes

[tex]7^2\:\times \:7^6=7^{2+6}[/tex]

              [tex]=7^{2+6}[/tex]

Add the numbers: 2+6=8

              [tex]=7^8[/tex]

Therefore, the expression in the form [tex]7^n[/tex]

 [tex]7^2\times \:\:7^6=7^8[/tex]                        

Answer:

b.

Step-by-step explanation:

that one is easy

Answer:

B) False

Step-by-step explanation:

3 tacos for $9 are $3 per taco and 4 tacos for $11.99 are 2.99 for each taco.

Answer:

False

Step-by-step explanation:

9÷3 is 3 but 11.99 divided by 4 is 2.99

Answer: 27in.

Step-by-step explanation:

Diameter=C/(3.14)

D= (84.78)/(3.14)= 27in.

Answer:

50.4

Step-by-step explanation:

4.20x12

Answer:

$0.35

Step-by-step explanation:

$4.20/12 oranges = $0.35

Answer:

The slope of the line perpendicular to this line is 2/1.. the equation would look like y = 2x + 2

Step-by-step explanation:

Since the regular slope of the line is -2/1, it would just be the opposite

Answer:

X =

Y = 204 =

Step-by-step explanation:

To calculate the exponential smoothing forecast for May, we need to use the formula Therefore the correct option is A  51.60 .

[tex]Ft = alpha * Xt + (1 - alpha) * Ft-1[/tex]  Where: - Ft is the forecast for time period t - Xt is the actual sales for time period t - Ft-1 is the forecast for the previous time period (t-1) - alpha is the smoothing constant Given that the forecast for January is 50, we can calculate the forecast for February as follows: [tex]F1 = 0.30 * 50 + (1 - 0.30) * 50 = 50[/tex] Similarly, we can calculate

the forecasts for March and April: F2 [tex]= 0.30 * 80 + (1 - 0.30) * 50 = 65[/tex] F3 [tex]= 0.30 * 70 + (1 - 0.30) * 65 = 66.50[/tex] F4 [tex]= 0.30 * 60 + (1 - 0.30) * 66.50 = 63.05[/tex] Now, to calculate the forecast for May: F5 [tex]= 0.30 * Xt-1 + (1 - 0.30) * Ft-1 F5 = 0.30 * 60 + (1 - 0.30) * 63.05 F5 ≈ 51.60[/tex]  Therefore, the forecast for May using exponential smoothing with a smoothing constant of 0.30 is approximately 51.60 (option a).

Hence the correct option is A

To know more about exponential smoothing  visit:

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Answer:

Step-by-step explanation:

Set up a proportion

15 Liters / 4 gallons = 210 Liters / x      Cross Multiply

15x = 4 * 210                                           Combine the right

15x = 840                                                Divide by 15

x = 840 / 15

x = 56 gallons

Answer:

no

Step-by-step explanation: if a scale is proportional it will have the same legnth so it is c

if im wrong then go with b

Answer:

I do not know

Step-by-step explanation:

Answer:

The answer is c

Answer:72,887

Step-by-step explanation: 500,000 - 427,113 = 72,887

Answer:

34,623 books

Step-by-step explanation:

First, add the amount taken out in November to the amount from the first 10 months of the year.

427,113 + 38,264

= 465,377

Then, subtract this from 500,000:

500,000 - 465,377

= 34,623

So, to meet the librarian's goal, 34,623 books need to go out in December.

Answer:

17

Step-by-step explanation:

y=mx+b

B is the y intercept

Answer:

20.9633333 repeated or 6289/300 or 20 289/300

Step-by-step explanation:

I used my calculator

Answer:

You got it right. Triangle DAC

Step-by-step explanation:

Line segment DA is a perpendicular bisector(it cuts line segment CE perfectly in half making line segment AE an CA congruent. Since the triangle share line segment DA that makes them congruent by the SAS postulate

The triangle that is similar to triangle EAD using the Peices of right triangle would be; Triangle DAC

Line segment DA is a perpendicular bisector which cuts line segment CE perfectly in half making line segment AE and CA congruent.

Since the triangle share line segment DA that makes them congruent with the SAS postulate.

Therefore, Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Therefore, the similar triangle is DAC

Learn more about congruent triangles;

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Answer:

the number of branches required to use 25 wreaths is 75 branches

Step-by-step explanation:

Given that

The florist used 225 branches of winterberry for making 75 wreaths

First we have to compute the unit rate or the ratio

= 225 ÷ 75

= 3 : 1

Now the number of branches required to use 25 wreaths is

= 3 × 25

= 75 branches

Hence, the number of branches required to use 25 wreaths is 75 branches

Answer:

40.38 pounds

Step-by-step explanation:

9.5 x 4.25 = total weight lost

9.5 x 4.25 = 40.375 = 40.38 pounds

Answer:

24

Step-by-step explanation:

Just cuz I say so and its right

Answer:

27

Step-by-step explanation:

If n = 4, all we need to do is substitute the number into the equation.

6n + 3

= 6(4) + 3

= 24 + 3

= 27

I recommend checking out a few more problems like these to get the gist of it. You'll be using this a lot in the future! I recommend taking a look on Kahn Academy for more learning.

Good luck!

The required algebraic expression that represents the perimeter of the dining room table is 8w - 4.

Perimeter is the measure of the figure on its circumference.

Here,
The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Substituting the given expressions for the length and width of the dining room table, we get:

P = 2(3w - 2) + 2w

Simplifying the expression, we get:

P = 6w - 4 + 2w

Combining like terms, we get:

P = 8w - 4

Therefore, the algebraic expression that represents the perimeter of the dining room table is 8w - 4.

Learn more about perimeter here:

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Answer:

-16-ab=0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Bc if u search it u p