Keith had two hundred sixteen dollars to spend on six books. After
buying them he had eighteen dollars. How much did each book cost ? _____________

Answer:

13

Step-by-step explanation:

Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

An isosceles trapezoid has two congruent legs and two diagonals that are congruent.

Given:

Thus:

SD = LG

Substitute

8x - 5 = 6x + 21

Combine like terms and find x

8x - 6x = 5 + 21

2x = 26

x = 26/2

x = 13

Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

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Answer:

Interquartile range = 40

Step-by-step explanation:

interquartile range = Q3-Q1

It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles

Q1 = 50 (middle of the lower quartile)

Q3= 90 (middle of the higher quartile)

Answer:

She did not consider the multiplicative inverse property of a real number

Step-by-step explanation:

Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.

Let x be an irrational number.

So, [tex]$ x.\frac{1}{x}= 1$[/tex]

If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.

the answer is it is function

Answer:

Please see the attached pictures for full solution.

Answer:

(c) 3 km

Step-by-step explanation:

Speed in still water: 8 km/h

Speed of river: 2 km/h

Speed downstream: 8 km/h + 2 km/y = 10 km/h

Speed upstream: 8 km/h - 2 km/h = 6 km/h

total time both ways: 48 minutes = 48/60 hour = 0.8 hour

time to go upstream: t

time to go downstream: 0.8 - t

speed = distance/time

s = d/t

d = st

Upstream:

d =  st

d = 6t

Downstream:

d = st

d = 10(0.8 - t)

The distance upstream and downstream is the same.

6t = 10(0.8 - t)

6t = 8 - 10t

16t = 8

t = 0.5

d = 6t = 6(0.5)

d = 3

Answer: (c) 3 km

Answer:

660

Step-by-step explanation:

Answer:

Simplify the expression.

−

6f+18

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions

-10 ≥ -5x > -40 divide by 5

-2 ≥ -x > -8 now multiply by -1

2 ≤ x < 8

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

Given,

B is between points A and C on AC.

AB = 8x + 5

BC = 5x - 9

AC = 74

We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.

If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.

Example:

M______N____________O

Then,

MN + NC = MO

Find the equation that represents AC with point B between A and C.

We have,

A______B___________C

AB = 8x + 5

BC = 5x - 9

AC = 74

Now,

AC = AB + BC

74 = 8x + 5 + 5x - 9

74 = 13x - 4

13x - 4 - 74 = 0

Find x.

74 + 4 = 13x

78 = 13x

x = 78 / 13

x = 6

Find AB

AB = 8x + 5  

= 8x6 + 5

= 48 + 5

= 53

Find BC

BC = 5x - 9

= 5x6 - 9

= 30 - 9

= 21

Thus,

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

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4 = -2(x-2) + 4

or, 4 = -2x + 4 + 4

or, 4 = -2x + 8

or, 4 - 8 = -2x

or, -4 = -2x

or, -4/-2 = x

or, 2 = x

The value of x is 2.

Answer:

x = 1

Step-by-step explanation:

4 = -2( x - 2) + 4

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

4 = -2x + 2 + 4

4 = -2x + 6

4 - 6 = -2

6 - 6 = 0

-2 = -2x

x = 1

hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do).  :)

Answer:34.00-29.99=4.01. 4.01÷0.17=

Step-by-step explanation:

Answer:

(1,5)

Step-by-step explanation:

y=3x+2

x+2y = 11

Substitute the whole value of y to the second equation:

x+ 2 (3x +2)=11

Distribute 2

x+6x+4=11

Combine like terms:

7x=7

x=1

Plug in the x value to any equation:

y=3(1)+2

y=3+2

y=5

Answer:

x=7 Hope this helps :)

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+3x+6=7x

Step 1: Simplify both sides of the equation.

2x+8+3x+6=7x

(2x+3x)+(8+6)=7x(Combine Like Terms)

5x+14=7x

5x+14=7x

Step 2: Subtract 7x from both sides.

5x+14−7x=7x−7x

−2x+14=0

Step 3: Subtract 14 from both sides.

−2x+14−14=0−14

−2x=−14

Step 4: Divide both sides by -2.

−2x

−2

=

−14

−2

x=7

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]

Add the like terms : 2x and 6

[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]

Move 7x to left hand side and change it's sign

Similarly, move 14 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]

Subtract 7x from 5x

[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]

Divide both sides by -2

[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Answer:

First distribute the negative -(10)

it becomes a -10

them add the -10 and -2

and the answer in - 12 because a negative plus a negative equals a negative

Step-by-step explanation:

[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]

Answer:

x=7

m<ABD=37°

m<DBC=58°

Step-by-step explanation:

Add the two equations.  They need to equal 95.  Solve for x.

(2x+23)+(9x-5)=95

11x+18=95

11x=95-18

11x=77

x=7

Substitute 7 in for x to both equations to solve for the angle degrees.

m<ABD=2x+23 = 2(7)+23 = 14+23 = 37

m<DBC=9x-5 = 9(7)-5 = 63-5 = 58

CHECK: 37+58=95

Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

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Question is incomplete, correct question has added below.

Answer:

72=2h

Step-by-step explanation:

6x12=72

Answer:

i got dis the answer is 13

Step-by-step explanation:

so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13

Let's first find the mode of each data set.

Mode = the largest value - the smallest value.

A. 20 - 11 = 9

B. 31 - 5 = 26

C. 20 - 11 = 9

D. 15 - 6 = 9

B fails because its mode does not equal 9.

Let's find the mean of A, C, and D

The mean = the sum of all data values divided by the number of data values.

A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2

C. (11 + 11 + 14 + 19 + 20) / 5 = 15

D. (6 + 10 + 14 + 15 + 15) / 5 = 12

Options A and D fail because their mean does not equal 15.

Let's find the median and mode of option C

Median = the value which falls into the middle of our data set

11, 11, 14, 19, 20 = 14

Mode = the value which appears most often

In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.

Answer:

A.)  What natural environments are in an area

Step-by-step explanation:

the length of sides AB of the triangle is sum of all sides..

Answer:

47/45 or 1 and 2/45

Step-by-step explanation:

47/45 or 1 2/45

4/15 +7/9

× 3/3. × 5/5

12/45 + 35/45

47/45

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set

Answer:

B. E

Step-by-step explanation:

The vertex is the middle of the angle.

I hope this helped!

Answer:

(0, - 6)

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0, f(x) = - 6

The y- intercept is therefore (0, - 6 )

Answer:

(0, - 6)

Step-by-step explanation: