Susie typically runs 5 miles in 1 hour. how far would she run in 30 minutes?

Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

Answer:

Dimensions of the tabletop is 2.8 cm × 2.8 cm.

Step-by-step explanation:

From the picture attached,

ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.

Dimensions of the tabletop ABCD,

Length = AB

Width = BC

Coordinates of A → (1, 3)

Coordinates of B → (3, 5)

Coordinates of C → (5, 3)

Coordinates of D → (3, 1)

Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     ≈ 2.8 units

BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     = 2.8 units

Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.

Angle B = ADC arc / 2

32 = ADC arc / 2

ADC arc = 2 × 32

ADC arc = 64

_________________________________

ADC arc + ABC arc = 360

64 + ABC arc = 360

ABC arc = 360 - 60 - 4

ABC arc = 300 - 4

ABC arc = 296

_________________________________

Angle D = ABC arc / 2

x = 296 / 2

x = 148

_________________________________

Angle A = x - 40

Angle A = 148 - 40

Angle A = 108 degrees

Answer:acute angle less than ninety so around fourth five

Step-by-step explanation:

[tex]C. \: 8 \sqrt{3} [/tex]✅

Step-by-step explanation:

[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

good job guys ik math is hard sometimes

Answer:

7/27

Step-by-step explanation:

the amount of students total is 27 people because you just add all of the values in the chart together.

after that, you need to find how many student didn't do the homework, and the amount is 7 because 3 students passed the test but didn't complete their homework and 4 students failed the test and didn't complete their homework.

Answer:

cos B = 8/17

Step-by-step explanation:

The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.

Answer:

see my explantion!!

Step-by-step explanation:

8000*0.05=400

400*18=7200$

let be the real price x :

x - x × ( 25/100 ) = 1350

x - x × ( 1/4 ) = 1350

x - x/4 = 1350

4x - x / 4 = 1350

3x / 4 = 1350

3x = 1350 × 4

3x = 5400

x = 5400 ÷ 3

x = Rs 1800

Answer: 15 percent of 28.50 is 4.275

So 28.50 + 4.275 = 32.775

So $32.77

Answer:

32.78 100% correct did usa test prep

Step-by-step explanation:

Answer:

0.2%

Step-by-step explanation:

The given parameters are;

The percentage of product within the correct range = 95%

The percentage of the times the sensor reject boxes of incorrect weight = 98%

The percentage of the times the company reject boxes with correct weight = 1%

[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]

We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2

FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01

FPR = 0.2/(0.2 + 9.8) = 0.02

TPR = 89.1/(89.1 + 0.9) = 0.99

TNR = 9.8/(9.8 + 0.2) = 0.98

P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))

Where;

P(C/A) = The probability that a correct weight package is accepted

∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776

The probability that a correctly weighed package is rejected, P(C/R), is given as follows;

P(C/R) = 1 - P(C/A)

∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%

The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%

Answer:0.9%

Step-by-step explanation:

good luck!!!

Answer:

D) 146

Step-by-step explanation:

Exterior angle thm:

42 + 104 = x

x = 146

Answer:

what is question?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Doug:  400/1042 = .3838 = 38.4%

Ben:  342/1042 = .3282 = 32.8%

Chris:  300/1042 = .2879 = 28.8%

Answer:

Doug 38.4%, Ben 32.8%, Chris 28.8%

Answer:

10

Step-by-step explanation:

360=95+95+15+7x+15+7x

360-95-95-15-15=7x+7x

140=14x

140/14=x

10=x

Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

Answer:

7

Step-by-step explanation:

Answer:

the answer is 2/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

not good destroy body mind effect

Given:

The compound inequality is:

[tex]-1>n\geq 5[/tex]

To find:

The reason for no solution of the given inequality.

Solution:

We have,

[tex]-1>n\geq 5[/tex]

This inequality can be written as two separate inequalities.

[tex]-1>n[/tex] and [tex]n\geq 5[/tex]

The inequality [tex]-1>n[/tex] represents all real values less than -1.

The inequality [tex]n\geq 5[/tex] represents all real values greater than or equal to 5.

Both inequalities [tex]-1>n[/tex] and [tex]n\geq 5[/tex] have no common values. Therefore, the given inequality has no solution. Hence proved.

Answer:

805

Step-by-step explanation:

Answer:

Its D because the x axis can repeat itself

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.

Answer:

D, the last one

Step-by-step explanation:

A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Answer: The Cars Average Speed Will Be 60Mph.

Answer:

C. 0.305

Step-by-step explanation:

100 - 39 = 61

.5 x .61 = .305

30.5%