Which figure best represents a rhombus?

Answer:

Faster runner speed: 11 mph

Slower runner speed: 9 mph

Distance from starting point: 9.9 miles

Step-by-step explanation:

Let the slower runner speed be: x

Faster runner speed: x+2

1 hour 6 minutes = 1.1 hours

Slower: 1.1(x) = 1.1x miles

Faster: 1.1(x+2) = 1.1x+2.2 miles

This means that the faster runner had gone 2.2 miles more than the slower runner.

1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)

1.1x > 11 - 2.2 miles

1.1x > 8.8 miles

x > 8.8 / 2.2 miles

x > 8 mph

1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)

x < 11 / 1.1 miles

x < 10 miles

8 < x < 10

Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.

Slower runner distance to the end:

1.1(9) = 9.9 miles

11 - 9.9 = 1.1 miles

Faster runners distance from the end (when coming back)

1.1(9+2) = 1.1(11) = 12.1 miles

12.1 - 11 = 1.1 miles

The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point

Answer:

x= 30

Step-by-step explanation:

find the corresponding ratio AD:EH

20:12=5:3

is it constant? yes because 15:9 is also 5:3

if we're trying to find x on the larger side, we do x:18

what divides into 18 to equal 3? 6

we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

Answer:

-2 i think i am not sure though

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)

Answer:

The point will have both a positive x value and a positive y value.

Step-by-step explanation:

Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

Answer:

70% Decrease

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

If I'm correct the answer would be 8.

Answer: (0,5); y= 4

Step-by-step explanation:

Answer:

B = 6(4 + 5)

Step-by-step explanation:

GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)

24 divided by 6 = 4

30 divided by 6 = 5

This fits B the most: 6(4 + 5)

The answer is B, I hope this helps!

Answer:

x = 0.8888888889

Step-by-step explanation:

I think this is the answer... :)

Answer:

M<ADE= 59

Step-by-step explanation:

(4x+15) + (13x+7)=90

x=4

ADE=DBC

13*4=52

52+7=

59

_________________________________

4*4=16

16+15=31

59+31=90

an soo 59 and 31 equal 90 the answer for your question Find mADE.

(4x + 15) -(13x +7° ) the answer is (59)!

Answer:

A+A+B+B+B+C+C+D

Step-by-step explanation:

it's just the letter wrote the amount of times the number says

Answer:

The answer is 95°!

Step-by-step explanation:

180°-60°-25°= 95°

Answer:

its 300

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.

we are given the slope (1/3) and the y intercpet (-4).

substitute the numbers into the equation

y=1/3x-4

the answer is y=1/3x-4

hope this helps!

Answer:

The answer is each ticket cost $24

Step-by-step explanation:

multiply 24 by 7

24*7=168

Answer:

-7

Step-by-step explanation:

I am assuming that you meant y=-7x+9

so the the slope would be y=mx+b

so -7

Answer:

189

Step-by-step explanation:

6 imes 4.5divide2

13.5

13.5

67.5

54

40.5

Answer:

$485890

Step-by-step explanation:

Given

Estimated Sales Volume =46.63+0.47(Advertising Expenditures)

Required

Find the allocated amount for advertising expenditure when target sales is $275000

Represent the sales volume with V and The advertising expenditure with a.

So, the expression is:

[tex]V = 46.63 + 0.47A[/tex]

Since the expression is in thousands, substitute 275 for V

[tex]275 = 46.63 + 0.47A[/tex]

Collect Like Terms

[tex]275 - 46.63 = 0.47A[/tex]

[tex]228.37= 0.47A[/tex]

Make A the subject

[tex]A = \frac{228.37}{0.47}[/tex]

[tex]A = 485.89[/tex]

Hence, $485890 should be allocated for advertising

Answer:

Step-by-step explanation:

9/10+5/6 =

27/30+25/30 =

52/30 = 1 22/30 =1 11/15

Answer: 26/15

Step-by-step explanation:

1. First find the common denominator, which is 30

2. Add them

3. Simplify (common factor of 2)

[tex]\frac{27}{30} + \frac{25}{30} \\\\\frac{52}{30} \\\\\\\frac{26}{15}[/tex]

Answer:

C.

Step-by-step explanation:

Answer:

D) 234 square ft

Step-by-step explanation:

The formula for area is: length x width.

The length is 9 in or (using the scale) 18 ft.

The width is 6.5 inches or (using the scale) 13 ft.

Multiply 18 x 13 to get 234 square ft.

Hope it helps!

Answer:

C. OBTUSE

Step-by-step explanation:

2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.

the answer is a. There is 1 as a right angle.

Answer:

yes it is

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D

Answer:

Step-by-step explanation:

square root of 15 is 3.8=irrational

square root of 21 is 4.58=irrational

square root of -9 is doesn't have a real square root

square root of 14 is 3.7 =irrational