Evaluate 7 1/6- 3 5/8

Answer:

yes a negative number is less than a positive.

Step-by-step explanation:

Because  the negative number is below zero and positive number are above Zero

The total amount of rainfall is the sum of the rainfall on each day

The total amount of rainfall is [tex]3\frac 38[/tex] inches

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

So, the total amount of rainfall is:

[tex]Total = 0 * 4 + \frac 18 * 5 + \frac 14 * 1 + \frac 38 * 2 + \frac 12 * 1 + 1\frac 14 * 1[/tex]

Evaluate the sum

[tex]Total = 3\frac 38[/tex]

Hence, the total amount of rainfall is [tex]3\frac 38[/tex] inches

Read more about dot plots at:

https://brainly.com/question/15853311

Answer:

12

Step-by-step explanation:

you will have to divide $15 by $180 and when you do that your result should end up being 12, hope that helped

Answer:

15ft square

Step-by-step explanation:

Area of triangle =1/2b×h

=1/2×6ft×5ft

=1/2×30ft square

=15ft square

Answer:

yes

Step-by-step explanation:

48 - 30 = 18

18/30 = 3/5 = 60%

Answer:

5 is the answer..................

Answer:

area of the given figure: 58 m²

Explanation:

area of rectangle: length * width

total area:

( 2 * 5 + 12 * 4 )

58 m²

Answer:

The area of the given figure is 58 m².

Step-by-step explanation:

Dividing the given figure into two parts :

———————————————————————

Firstly, finding the area of bigger rectangle by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}[/tex]

[tex]\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 4}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} =48}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{A_{(Rectangle)} =48 \: {m}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of bigger rectangle is 48 m².

———————————————————————

Secondly, finding the area of smaller rectangle by substituting the values in formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}[/tex]

[tex]\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 5\times 2}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} =10}}}\\\\\qquad{\star{\underline{\boxed{\sf{\purple{A_{(Rectangle)} =10 \: {m}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of smaller rectangle is 10 m².

———————————————————————

Now, finding the total area of given figure by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{Total \: Area = A_{(Big)} + A_{(Small)}}}}[/tex]

[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Total \: Area = A_{(Big)} + A_{(Small)}}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 48 + 10}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 58}}} \\ \\ \quad{\star{\underline{\boxed{\sf{\red{Total \: Area =58\: {m}^{2}}}}}}} \end{gathered}[/tex]

Hence, the total area of the given figure is 58 m².

[tex]\rule{300}{2.5}[/tex]

Answer:

A=4. B=5. C=24

The height of the lighthouse from the top of the cliff is 161.2 cm

The situation forms two right angle triangle.

Right angle triangle has one of its angles as 90 degree. Therefore, the sides and angles can be found using trigonometric ratios as follows;

tan 51.3 = opposite / adjacent

where

opposite = height of cliff and light house = x

adjacent  = distance of the ship from the base of the cliff

Therefore,

tan 51.3 = x / 980

cross multiply

x = 980 tan 51.3

x = 1223.23995563 meters

tan 47.3 = opposite / adjacent

where

opposite = height of cliff = y

adjacent = distance of the ship from the base of the cliff

tan 47.3 = y / 980

y = 980 tan 47.3

y = 1062.01582791 meters

The height of the lighthouse from the top of the cliff = 1223.23995563 -  1062.01582791 = 161.224127725  = 161.2 cm

learn more on trigonometric ratio here: https://brainly.com/question/26299702

Answer:

The volume of the prism is 20 meters.

Step-by-step explanation:

2 x 2 x 5 equals 20

Answer:

20 m³

Step-by-step explanation:

Volume of a rectangular prism = width x length x height

Given:

⇒ volume = 2 x 2 x 5 = 20 m³

Answer:

Step-by-step explanation:

Total Cost = 150 + 69.50*12

Total Cost = 150 + 834

Total Cost = 984

Hidden in that is a 6% sales tax

Cost before sales tax =  1.06 * x = 984. This is the key step. The 6% sales tax is hidden in the 1.06. So you call the original price = x.

1.06 * x = 984                 Divide by 1.06

x = 928.3                        without the sales tax

The question seems to be answered by 984. The sales tax is in that cost.

Answer:

x <16/3

Step-by-step explanation:

7x - 4< 4(x+3)

Distribute

7x - 4< 4x+12

Subtract 4x from each side

7x-4x - 4< 4x-4x+12

3x-4 < 12

Add4 to each side

3x-4+4 < 12+4

3x<16

Divide each side by 3

3x/3 <16/3

x <16/3

Answer:

68

Step-by-step explanation:

=> g²+13g

putting the value of g which is 4

=> 4²+13(4)

=> 16+52

=> 68

Answer:

68

Step-by-step explanation:

We simply just plug in 4 for g since the problem states that "g=4"

Which turns our expression to "[tex]4^{2} +13(4)[/tex]"

_________________________

We start by calculating what [tex]4^{2}[/tex] equals which is 16 (4 * 4)

Now we do 13 times 4 which is 52

52 + 16 = 68

Answer:

Step-by-step explanation:

( 2 , 26 )

( 0 , 4 )

m = (26 - 4 ) / ( 2 - 0 ) = 11

Cost of each game is $11

Answer:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

Step-by-step explanation:

f(x) notation means "the function of x".  Therefore, for f(-8) you need to find the y value when x = -8.  Locate -8 on the x-axis and then follow up (or down) until you meet the curve/line.  Then find the corresponding y-coordinate of this point.

From inspection of the graph:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

Linear regression are used to represent scatter plots

The linear regression equation is: [tex]y = -0.223x + 24.081[/tex]

Start by entering the table values in a graphing calculator.

From the graphing calculator, we have the following calculation summary

Hence, the linear regression equation is:

[tex]y = -0.223x + 24.081[/tex]

Read more about linear regression at:

https://brainly.com/question/25987747

The line of best fit is y = -0.223x + 24.081

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line (rate of change) and b is the y intercept (initial value of x).

Plotting the values of the table using geogebra online graphing tool, the line of best fit is y = -0.223x + 24.081

Find out more on Linear equation at: https://brainly.com/question/14323743

Uhhhh a rational solution? an nonintegral solution? A  system of linear equations? Multiple systems of nonlinear equations?

Answer:

Here is the graph for the equation, which is y = 4^x

Step-by-step explanation:

Hope this helps =)

Answer:

D. d ≈ 9.4

Step-by-step explanation:

[] We can use the distance formula to solve

-> The distance formal is attached.

[tex]d = \sqrt{(4-9)^{2}+ (2-10)^{2} }[/tex]

[tex]d = \sqrt{(-5)^{2}+ (-8)^{2} }[/tex]

[tex]d = \sqrt{25+ 64 }[/tex]

[tex]d = \sqrt{89}[/tex]

d ≈ 9.4

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]\sqrt{x+6} =x-6\\[/tex]

square both sides:

[tex]\implies x+6=(x-6)^2[/tex]

Expand brackets:

[tex]\implies x+6=x^2-12x+36[/tex]

Collect and combine like terms:

[tex]\implies x^2-13x+30=0[/tex]

[tex]\implies (x-10)(x-3)=0[/tex]

[tex]\implies x=10, x=3[/tex]

Substitute values back into original equation:

[tex]x=10: \sqrt{10+6} =10-6 \implies 4 = 4 \ \ \checkmark[/tex]

[tex]x=3: \sqrt{3+6} =3-6 \implies 3 = -3 \ \ \textsf{incorrect!}[/tex]

Therefore, [tex]x=10[/tex] only

[tex]\\ \tt\rightarrowtail \sqrt{x+6}=x-6[/tex]

[tex]\\ \tt\rightarrowtail x+6=(x-6)^2[/tex]

[tex]\\ \tt\rightarrowtail x+6=x^2-12x+36[/tex]

[tex]\\ \tt\rightarrowtail x^2-13x+30=0[/tex]

[tex]\\ \tt\rightarrowtail x^2-10x-3x+30=0[/tex]

[tex]\\ \tt\rightarrowtail (x-3)(x-10)=0[/tex]

[tex]\\ \tt\rightarrowtail x=3,10[/tex]

Answer:

120

Step-by-step explanation:

Kelly = 64 tokens

Ron = 40 tokens

Pierce = 16 tokens

Total = 120 tokens

Answer:

51 calories per serving

Step-by-step explanation:

Take the total number of calories and divide by the number of servings

408 calories / 8 servings

51 calories per serving

Answer:

9.25 ft

Step-by-step explanation:

We know that area of parallelogram= base × height

Answer:

solution:

2+2cos (60)

Step-by-step explanation:

wc:>

Answer:

23 degrees

To get this:

5x means 5 squared, also known as 5 times itself. 5x5 is 25.

25 - 2 is 23.

23 degrees should be it.

Answer:

The value of x is 16 degree

Step-by-step explanation:

5x-2=78(vertically opposite angle)

or,5x=78+2

or,x=80/5

   x=16

Answer:

The triangle's area formula is half of the quadrilateral's area formula

Step-by-step explanation:

If we put triangle ONE on top of triangle MHS, we could compare each angle, and we would find that the corresponding angles are all congruent. If we measured the angles, we would find that the corresponding angles are congruent. Therefore, these quadrilaterals are similar.

Answer:

i like how to tell us to answer something with no file

Step-by-step explanation:

Answer:

[tex]A=784\pi[/tex]

Step-by-step explanation:

Calculate area of the circle:

[tex]A=784\pi[/tex]

Answer:

39.2 m/s

Step-by-step explanation:

Let a = 9.8 m/s^2, t = 8 sec, find the initial velocity v

After time t, the rock hit the ground, so the height h = 0

Use h = vt - at^2/2 = 0

v = at/2 = 9.8 * 8/2 = 39.2 m/s