Rachel reads 36 chapters of a book in 6 hours. What is her rate in chapters per hour?

Answer: 7 minutes

Step-by-step explanation:

There is no n variable in the question, found the original question and the equations is: t = 2n – 3.

So, to answer this question we simply have to substitute n=5 in the equation given:

t = 2(5) – 3.

Solving for t(time)

t = 10-3 = 7 min.

It will take the customer 7 minutes to buy 5 coffees.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Counterexample: 21 which is divisible by 3 but not by 6.

Step-by-step explanation:

Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.

You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.

Answer:

D

Step-by-step explanation:

Assuming the figure to be a parallelogram, then

The consecutive angles are supplementary, that is

∠ D + ∠ C = 180°

145° + ∠ C = 180° ( subtract 145° from both sides )

∠ C = 35° → D

Answer:

Step-by-step explanation:

Answer:

Cup A

Step-by-step explanation:

Cup A

Salt: Water = 3:22

Expressed as a percentage

[tex]\dfrac{3}{22} \times 100 = 13.6\%[/tex]

Proportion of Salt =13.6%

Cup B

Salt: Water = 1:8

Expressed as a percentage

[tex]\dfrac{1}{8} \times 100 = 12.5\%[/tex]

Proportion of Salt =12.5%

Cup C

Proportion of Salt = 12.75%

Therefore, Cup A has the greatest proportion of salt.

Answer: 27cm²

Step-by-step explanation:

lets take the width as x and length as 3x( since length is 3 times the width)…

Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24

2×4x=24

8x=24

X( width): 24/8=3cm

Length= 3x: 3*3=9cm

Area of the rectangle: ( l*w)= 9×3: 27cm²

Answer:

Step-by-step explanation:

Answer:

you can pick any of them

Step-by-step explanation:

Answer: Any are right

Step-by-step explanation:

Answer:

[tex]g(x) = \frac14x^2[/tex]

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

Answer:

No.

Step-by-step explanation:

Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).

Answer:

Brainliest please

Step-by-step explanation:

perimeter is to add all sides

73m= 16+B+C

{ use algebra}

C is a, B is twice C, hence 2a

a+2a(+16)=73

3a=73-16= 57

3a=57, divide

a= 19

B=19×2= 38m

C=19m

C is 19m

Answer:

C = 19 m

Step-by-step explanation:

Side B is twice the length of Side C.

B = 2C -----------(I)

Perimeter = 73 m

A + B + C = 73

A + 2C + C = 73  {from (I)}

16 + 3C = 73

3C = 73 - 16

3C = 57

C = 57/3

C = 19 m

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

Answer:

[tex]\frac{5}{5+2}(3-1)+ 1[/tex]

Step-by-step explanation:

To find the coordinate of the point that divides a line segment AB with point A at ([tex]x_1,y_1[/tex]) and point B at [tex](x_2,y_2)[/tex] in the proportion c:d, the formula used to find the location of the point is:

[tex]x-coordinate:\\\frac{c}{c+d}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{c}{c+d}(y_2-y_1)+y_1[/tex]

Therefore the y coordinate that divides line segment CD with point C at ([tex]-4,1[/tex]) and point D at [tex](3,3)[/tex] in the proportion 5:2 is given by:

[tex]for\ y-coordinate:\\\frac{c}{c+d}(y_2-y_1)+y_1\\=\frac{5}{5+2}(3-1)+ 1\\=\frac{5}{7}(2)+1=\frac{17}{7}[/tex]

Answer:

{5/7}(3-1)+1

Step-by-step explanation:

Answer:

A. -55

Step-by-step explanation:

f(x)=-2x^2+4x-7

f(-4)= -2(-4)^2+4(-4)-7

= -2(16)-18-7

= -32-16-7

= -55

Answer:

-55

Step-by-step explanation:

f(x) = −2x^2 + 4x − 7

Let x = -4

f(-4) = −2(-4)^2 + 4(-4) − 7

      = -2 (16) -16 -7

      = -32 -16 -7

      =-55

Answer:

6 hours and 45 minutes

Step-by-step explanation:

if you divide 3 hours by four songs you deduce that it take 45 minutes to record one song.

8 is double 4 so it will take 3more hours plus the 45 minutes for the ninth song.

3+3+.45= 6.45

Answer:

8/4

Step-by-step explanation:

2/1

We want a denominator of 4 so multiply by 4/4

2/1 * 4/4 = 8/4

Answer:

x = 9 (first odd number)

x + 2 = 11 (second odd number)

Step-by-step explanation:

Let

x =first odd number

x + 2=second odd number

given:

1/x - 1/(x + 2) = 2/99

Find the LCM

(x+2)-x / x(x+2)=2/99

x+2-x / x(x+2)=2/99

common denominator x( x + 2)

2 / x(x + 2) = 2/99

Take the reciprocal of both sides

1/2x(x + 2) = 99/2

multiply both by 2

x(x +2) = 99

Expand the left side

x^2 + 2x = 99

add 1 to both sides

x^2 + 2x + 1 = 100

express the left side as a square

(x + 1)^2 = 100

Square root of both sides

x + 1 = 10 or x + 1 = -10

taking the positive root only

x = 9 (first odd number)

x + 2 = 11 (second odd number)

check:

1/9 - 1/11 = 2/99

11/99 - 9/99 = 2/99

2/99 = 2/99

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of x as follows:

x° + x° + 90° = 180°

2x° = 90°

x° = 45°

Compute the length of side AP as follows:

[tex]cos\ 45^{0}=\frac{AP}{CA}[/tex]

      [tex]\frac{1}{\sqrt{2}}=\frac{AP}{5}[/tex]

     [tex]AP =\frac{5}{\sqrt{2}}\\\\AP=3.5[/tex]

Then the length of side AB is:

AB = AP + PB

     = 3.5 + 3.5

     = 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

                = 7 + 5 + 5

                = 17

Thus, the perimeter of the triangle ABC is 17 cm.

Answer:

Correct option: C) 90 degrees

Step-by-step explanation:

When we have a tangent segment to a circle, the angle made with the radius of the circle and the tangent segment is always a right angle, that is, 90 degrees. In other words, the radius and the tangent segment are always perpendicular.

If QR is tangent to the circle P, and PQ is the radius of the circle, the segment PQ is perpendicular to the segment QR, so the angle PQR is equal 90 degrees.

Correct option: C)

Answer:

Angle PQR is 90 so answer would be C

Step-by-step explanation:

Answer:

to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Step-by-step explanation:

Let the mortgage investment be X

The Bond to be Y

and the CDs to be Z

Thus;

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 7180 × 100 ------ (3)

So;we now have:

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 718000 ------ (3)

Let ; replace X with Y+Z in equation (1) and (3)

Y+Z + Y+Z = 86000

2Y + 2Z = 86000

Divide both sides by 2

Y+Z = 43000      ------ (4)

From equation (3)

10X + 9Y + 6Z = 718000

10(Y+Z) + 9Y + 6Z = 718000

10Y +10Z + 9Y +6Z = 718000

19Y + 16Z = 718000    -----(5)

Y+Z = 43000      ------ (4)

19Y + 16Z = 718000    -----(5)

Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:

 -16 Y -16 Z = -688000

 19Y + 16Z =    718000          

 3Y  + 0     =    30000            

3Y = 30000

Y = 30000/3

Y = 10000

From (4);

Y+Z = 43000  

So; replace Y with 10000; we have:

10000 + Z = 43000

Z = 43000 - 10000

Z = 33000

From (1) ;

X+Y+Z = 86000

X + 10000  + 33000 = 86000

X + 43000 = 86000

X = 86000 - 43000

X = 43000

Since we assume the bond to be Y and Y = $10000;

Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Answer:

138 : 269

Step-by-step explanation:

Last year, the number of bicyclists that showed up was 1345.

This year, there were 690 bicyclists.

The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:

690 : 1345

Let us put it in simplest terms:

138 : 269

Step-by-step explanation:

The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.

Answer:

Calculate the rise over the run/the change in y over the change in x

Step-by-step explanation:

In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.

Answer:

8 ounces

Step-by-step explanation:

First, you should convert the 1 1/2 pounds to ounces. (24 ounces) Once that is converted, you can then divide it by 3 to find how many blueberries you need. (24÷3=8) So now you can see that you need 8 ounces of blueberries for the pie.

Answer:

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

Step-by-step explanation:

The bottle volume  must be  V(b) = 100 ml     or   V(b) = 100 cm³

The shape of the bottle is cylindrical

Surface area of bottle is

S = surface area of the base + lateral area

Area of the base = π*x ²         where x is radius of circle

Lateral area is  2*π*x*h           where h is the heigh of the bottle

V(b) = π* x²*h                             (1)        

π*x²  +  2*π*x*h  < 150 cm²  we work with the limit  150

π*x²  + 2*π*x*h  = 150

h   =  (150 - π*x²) /2*x*π

Plugging that value in equation (1)

V(x) = π*x² * (150 - π*x²) /2*x*π   ⇒    V(x) = 150*π*x²/2*x*π  - π²*x⁴/2*x*π

V(x) = 75*x - π*x³/2

Taking derivatives on both sides of the equation

V´(x) =  75  - 3*π*x²/2

V´(x) = 0           75 - 3*π*x² /2  = 0

x² = 75*2 /3*π       ⇒   x²  = 15,92      ⇒  x = 3,99 cm

And  h = ( 150 -π*x² )/2*π*x

h = ( 150 - 49,98 )/25,05

h  =  3,99 cm

Dimensions of the bottle

x (radius of the base ) = 3,99 cm

h (heigh of the bottle ) = 3,99 cm

Surface area  = 149,99 cm²

Volume of the bottle = 199,45 cm³

Answer:

y = (-x - 6)/2

Step-by-step explanation:

x + 2y = -6

2y = -x - 6

y = (-x - 6)/2

Answer:

Fraction = 5/10 = 1/2

Decimal = 0.5

Step-by-step explanation:

Answer:

fraction-5/10 decimal-0.5

plz give brainiest

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added

Answer:

I believe it is 18 + the square root of 26.

Step-by-step explanation:

The slope of line BC should be 5/1 because it goes up 5 times and to the right once. If you square root 26 you get 5.09.

Answer:

one half of two fifths of x would be equivalent to one fifth of x

the answer is 22 degrees

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

We have,

The area of a sector can be calculated using the formula:

Area = (θ/360) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.

The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.

Substituting the values into the formula:

Area = (122/360) * π * (18²)

Area = (0.3389) * 3.14159 * 324

Area ≈ 344.77 square inches

Area = 345 square inches

Therefore,

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

Learn mroe about the area of sectors here:

https://brainly.com/question/1582027

#SPJ4