2x^2-11x + 5.o-x^2 + 4x +371 =0

Answer:

He was there for three hours

Step-by-step explanation:

$25 times 3=$75

$50+$75=$125

9514 1404 393

Answer:

Step-by-step explanation:

If find that "substitution" works well for "mixture" problems like this. Usually, you will want to substitute for the lower-priced item, so that you're solving for the number of higher-priced items.

Let "a" and "k" stand for the number of adult and kid tickets, respectively.

  a + k = 54 . . . . . . total number of tickets sold

  8a +5k = 360 . . . total revenue

__

To substitute for k, we solve the first equation for k:

  k = 54 -a

Now, we substitute that into the second equation:

  8a +5(54 -a) = 360

  3a = 90 . . . . . . . . . . . subtract 270 from both sides; collect terms

  a = 30 . . . . . . . . . . . . divide by 3

  k = 54 -30 = 24 . . . . . use the above formula for k

The number of kids was 24; the number of adults was 30.

Answer:

60 ft

Step-by-step explanation:

(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral

(x+13) = (3x-1) (we only need to chose 2)

-2x=-14

x=7

after this, we just need to plug in the number for x

3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60

60FT

Answer:

Step-by-step explanation:

Subtraction

Equation

2/3 - 1/5

Solution

20/30 - 6/30

14/30

7/15        

The tree on the wall is 7/15 of a foot larger than the tree on paper.

Division

2/3 // 1/5 = 2/3 * 5/1 = 10/3 = 3 1/3

The tree on the wall is 3 1/3 times the tree in the drawing.

Answer:

no solution

Step-by-step explanation:

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

We can try the guess method.

3:1      3 + 1 = 4     4 is too low. We need a sum of 16.

Multiply both numbers in the ratio by 2.

6:2     6 + 2 = 8   8 is still too low

Multiply both numbers in the ratio by 4.

12:4    12 + 4 = 16    16 is correct.

Answer: 12 blueberries and 4 strawberries

Answer:

We conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Step-by-step explanation:

Given the expression

x²

Putting x = 1 in the expression

x²= (1)² = 1

Putting x = -1 in the expression

x²= (-1)² = 1

Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.

Putting x = 2 in the expression

x²= (2)² = 4

Putting x = -1 in the expression

x²= (-2)² = 4

Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.

Putting x = 3 in the expression

x²= (3)² = 9

Putting x = -1 in the expression

x²= (-3)² = 9

Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.

The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.

Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

2(csc^2x - 1)= -3csc x

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range

Answer:a=4

Step-by-step explanation:

Expand the brackets. Collect like terms. Get the same values on each side so it’s easier to isolate a. Divide 9 from 9a so that u get a by itself and this gives u the answer if 36/9 or 4.

Answer:

a = 4  

Step-by-step explanation:

first distrubute the 3 and then 2 in the equations to whatever is inside the parantheses:

3 ( 1-9a) + 22a = 2(2a-9) -15

3 - 27a + 22a = 4a - 18 - 15

then combine the terms:

3 - 5a = 4a -33

then isolate the variables and constants to one side, for example move the 5a to the right side of the equation and move the 33 to the left side of the equaiton and then simplfy

36 = 9a

divide both sides by 9

a = 4  

Hello,

[tex]7 \sqrt{8} = \sqrt{7.7.8} = \sqrt{392} [/tex]

Býe býe.

Answer:

The answer is 24

Step-by-step explanation:

24

Answer:

24

Step-by-step explanation:

24

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

Answer:

Ethan

Question b is incomplete

Step-by-step explanation:

Given the masses of the 6 insects below :

Name of Insect ______ Mass (m)

Arthur _____________ 7.8259

Bethan ____________ 7.2659

Clarry ______________8.159

Deena _____________ 7.4559

Ethan ______________ 8.9459

Freya ______________ 7.0159

Write the name of the stick insect with m > 8.85g

Mass (m) greater than 8.55 g

From the table :

8.945 > 8.55 ;

Hence, Ethan

(b) Write the name of the stick insect with m s 7.155 g

Question b isn't complete

Answer:

A.

(1,3)

(2,7)

(3,11)

(4,15)

Step-by-step explanation:

I plotted the points into a graphing calculator

Answer:

Step-by-step explanation:

Since the bases are different, each expression must be done independently.

6.7*10^8

6.7*6.7*6.7*6.7*6.7*6.7*6.7*6.7=  4,060,676.78

1.2*10^2

1.2*1.2=  1.44

multiply the two= 5847374.56

Answer:

hmmmmmmmmmmmmmmm

62

Step-by-step explanation:

her unit rate was about 11.7 miles per hour.

divide 93.5 by 8 to get answer.

hope this helps.

i could also be wrong.

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

Answer: oo I did this in one quiz i thnk is c I put thaha

Step-by-step explanation:

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

so -6y+y=-30

-5y=-30

y=6

x=-36

Hope this helps pls hit the crown :D

Answer:

Which number is the slope of the line shown by the equation?

B. 40

Which number is the y-intercept

D.75

Step-by-step explanation:

The formula for the Equation of a line =

y = mx+b

where:

m is the slope and b is the y-intercept.

Hence, interpreting the above question:

On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.

x is the number of hours and y is the total fee.

Hence, the Equation we have is:

y = $40 × x + 75

y = 40x + 75

Comparing with the Equation of a line formula

= y = mx+b

Therefore:

The slope of the line = 40

The y intercept = 75

Answer:

ok

Step-by-step explanation:

well thats good

Answer:

the graph is continuous

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

Answer:

25

Step-by-step explanation:

Answer:

36/25

Step-by-step explanation:

7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9

((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =

= (42/35)^2 * (1 * 5^3)^3 * 5^-9

= (6/5)^2 * 5^9* 5^-9

= 36/25 * 5^0

= 36/25