A track coach records the number of miles that he ran per day over the month. The stem-and-leaf plot below summarizes this data.

Answer:

*cough**cough* Ms. Roth?

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Answer:

x = 7

Step-by-step explanation:

123 = 17x + 4

123 - 4 = 17x

119 = 17x

119 / 17 = x

7 = x

Answer:

Its b) 55

Step-by-step explanation:

trust me,......

Answer:

d

Step-by-step explanation:

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')

Answer:

1. 3/5

2. 2/5

3. 1/5

Step-by-step explanation:

I'm pretty sure this is the answer :)

Answer:

[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]

Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

a)

sin18 = AB/80

AB = (sin18)(80) = 24.7214 m

b)

tan25 = BT/AB = BT/24.7214

(24.7214)(tan25) = BT

BT = 11.5278 m

Answer:

1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5

Step-by-step explanation:

yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

Answer:

im not sure but i think its 151200

Step-by-step explanation:

12000 + %5 = 12600 x 12 = 151200                   i could be completely wrong tho

this is g mail ok dont do enything messed up ok :)

Answer:

c

Step-by-step explanation:

Answer:

Y,O,Q

Step-by-step explanation:

Answer:

Step-by-step explanation:

9)  (25-x^2 )(a+2) = (5-x)(5+x)(a+2)

11) 9(v-3)+u^2(3-v)

   9(v-3)+u^2( -v+3)

   9(v-3)-u^2( v-3)

   (9-u^2)(v-3)

 (3-u)(3+u)(v-3)

Answer: the answer is 213.4

Stepby-step explanation:

First you multiply 10.8 and 19.8 then your done

Answer:

10.8 ÷ 6

1.8

Step-by-step explanation:

Answer:

A

(hg)( x)=(4x-3)(x+2)=4x²+5x-6

Answer:

y ≤ 0

Step-by-step explanation:

The correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

What are domain and range of a function?

Range is the set of all values that the given function can output, whereas domain is the input or set of values for which the function is defined.

The graph of a function is shown. We know that the range of function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.

From graph it is clear that the function is going down from axis to negative y - axis.

So , it is clear that range will be less than or equal to zero.

i.e.,

Range is :

y ≤ 0

Therefore , the correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

Learn more about range of a function here :

https://brainly.com/question/10197594

#SPJ2

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter[tex]d= 3-cm[/tex]

Radius [tex]r=d/2=>1.5cm[/tex]

Height risen[tex]14.6-14=0.6cm[/tex]

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

[tex]V=\pir^2h[/tex]

Therefore

[tex]V=\pi*1.5^2*0.6[/tex]

[tex]V=4.2417\\\\V=4.24 cm^3[/tex]

Correct Option A

The volume is about 4.24 cm^3.

Answer:

x = 0 and x = -1/2

Yes there is an error in the student's work. The error is that he is considering only single value of x. To correct the error he/she must calculate all the possible values of x. The process is shown in the paper.

Answer:

x = 3.9

Step-by-step explanation:

cos = adj/hyp

cos67 = x/ 10

x = 10 * cos67

use calculator

x = 3.9

Answer:

13

Step-by-step explanation:

Answer:

59%

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

4) Let the number be : N

Given : 10% of this number is 25

[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]

[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]

[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]

[tex]\sf{\implies N = 250}[/tex]

Now we need to find 60% of 250

[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]

[tex]\sf{\implies 6 \times 25}[/tex]

[tex]\sf{\implies 150}[/tex]

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]

[tex]\sf{\implies 15 \times 4}[/tex]

[tex]\sf{\implies 60}[/tex]

Now let us find 40% of 30

[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]

[tex]\sf{\implies 12}[/tex]

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825