the teacher had 9 pencils. she gave 6 pencils as prizes to the students what fraction of pencils did she have left.

Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

Answer:

no answer

Step-by-step explanation:

1, -2 ; 1, -4 : -4-2/1-1 = no solution

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

ENGLISH:

Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.

To evaluate an algebraic expression, replace the variable(s) with known values ​​and then use the order of operations.

For your convenience, you can use parentheses when entering negative values ​​in variables.

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

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Answer:

D is halved

Step-by-step explanation:

Given :

If n is doubled :

When n is doubled, D (the drop factor) is half of its original value.

Answer:

x = 4 would be a vertical line along with the value x=4

Step-by-step explanation:

The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.

Answers:

bio = 258

sociology = 169

============================================================

Work Shown:

x = number of bio textbooks

y = number of sociology textbooks

x+y = 427 books sold total

y = x-89 since 89 less sociology textbooks were sold compared to bio

Apply substitution to get the following

x+y = 427

x+x-89 = 427 ... replace y with x-89

2x-89 = 427

2x = 427+89

2x = 516

x = 516/2

x = 258 bio textbooks were sold

y = x-89

y = 258-89

y = 169 sociology textbooks were sold

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

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Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypotheses, it is tested if the mean is of 57.7, that is:

[tex]H_0: \mu = 57.7[/tex]

At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:

[tex]H_a: \mu \neq 57.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]

t = 4.17.

We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.

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Answer:

f(x) = -5/81( x^2 -2x - 80)  

Step-by-step explanation:

The zeroes are -8 and 10 so we can write :

f(x) = -a(x - 10)(x + 8)  

( negative is because the parabola opens downwards).

The maximum value is at the vertex = 5.

f(x) = -a(x^2 - 2x - 80)

       =  a[(x - 1)^2 - 1 - 80)

        = a(x - 1)^2 - 81a

As the vertex is at f(x) = 5

81a = 5 so a = 5/81

So the equation is

f(x) = -5/81( x^2 -2x - 80)    

Answer: 23

Step-by-step explanation:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:  2+2=4 .

Answer:

(7x + 6) tickets

Step-by-step explanation:

Tickets Ross has : 8x - 5

Tickets Ross needs : 15x + 1

To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.

Must ticket win

Answer:

See below ~

Step-by-step explanation:

Q3

Q4

#3

Simiilary

#4

And

Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

Answer:

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0

Answer:

that would be 57

Step-by-step explanation:

because im smart

Answer:

x = 66

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + 35 + 79 = 180 , that is

x + 114 = 180 ( subtract 114 from both sides )

x = 66

Answer:

7

Step-by-step explanation:

Because 2x-4 equals -8

Answer:

31 degrees

Step-by-step explanation:

90-59

=31

~rere

Answer:

<b = 31 °

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles

So . .

Because the sum is 90 subtract!

<b = 31 °

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

Answer:

Graph these points:

(-6, -6)

(0, -6)

(0, -1)

(-6, -1)

Answer:

sorrry i forget you man ..... or bro .....

Answer:

total cost = given hours × rate per hour

Answer:

401.5

Step-by-step explanation: