P is the point of intersection of the lines with equations 5x — y = 1 and x + 2y = 9
Write down the coordinates of P.

Answer:

10.6 km/h

Step-by-step explanation:

avg. speed in km/h literally tells us how much distance (in km) the cyclist travels in an hour. An hour happens to be double that of 30 minutes, so the distance will be double of 5.3km. The distance over an hour is 10.6km, so the speed is 10.6km/h.

Alternatively, you can simply divide distance by time:

5.3km / 30min = 5.3km / (1h / 2) = 5.3km * 2 / 1h = 10.6km/h

Answer:

hope this helps

Step-by-step explanation:

5.3 km 3.293 miles so the average speed would be 6.59 mph

Answer:

$333.60

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

Answer:

48.83

Step-by-step explanation

Answer:

the answer is 3/2

Step-by-step explanation:

2x =3

x= 3/2 when you divide both sides by 2

Answer:

I might be wrong but 1 and 1/2

Step-by-step explanation:

I divided both sides by 2 to isolate the x

I got x = 3/2 which also equal 1 1/2

Answer:

[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]

[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]

[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]

[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]

His rate is 13.4km/ hour

Data;

To solve this problem, we have to convert his speed from km/min to km/h

[tex]60min =1 hour\\[/tex]

Since his rate is 6.7kmin 30 minutes, let's convert it to hour

[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]

But to convert minutes to hours, we have to divide the time by 60

[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]

From the calculation above, his rate is 13.4km/ hour

Learn more on conversion from minutes to hours here;

https://brainly.com/question/4845674

Answer:

see below for answer

Step-by-step explanation:

(4p^2+32p)/(p-2)=(4p(p+8))/p-2

(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)

(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p

Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

Answer:

£3.9

Step-by-step explanation:

Philip went to the shop with £9.60

spent £5.70

Money left = £9.60 -£ 5.70

                  =£3.9

Hence,

He came home with £3.9

Answer:

49

Step-by-step explanation:

x multiplied by 0.51 is the same as 49% of x

Answer:

18

Step-by-step explanation:

18devided by 3 is 6 and 18 divided by 2 is 9

The number that has prime factors of 2 and 3 is 18.

Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.

What are the factors of the numbers between 14 and 19?

To learn more about  factors, please check: https://brainly.com/question/26073850

Answer:

x > -10/7

Step-by-step explanation:

divide both sides by -7 and it will be x= -10/7

Answer:

I think its

B) CG

I hope its right

Answer:

(x+2)^2 + (y+1)^2 =13

Step-by-step explanation:

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

z<-6

Step-by-step explanation:

4-5Z>34

-5z>34-4

-5z>30

z<-6

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

Read more about Unit Rate at; https://brainly.com/question/19493296

#SPJ1

Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

v=l*w*h so 2^3=8

[tex]\left \{ {{-6y = -12} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y = 2} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y=2} \atop {3x + 2*2 = -2}} \right. <=> \left \{ {{y=2} \atop {3x = -6}} \right. <=> \left \{ {{y=2} \atop {x=-2}} \right.\\ => \left \{ {{y=2} \atop {x=-2}} \right.[/tex]

Answer:

1)3 meters/second

2)-16°C

Step-by-step explanation:

Hope it can help you lovelots

Answer:

The answer is C.

Step-by-step explanation:

Answer:

y = 5x - 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + b ← is the partial equation

To find b substitute (6, - 2 ) into the partial equation

- 2 = 30 + b ⇒ b = - 2 - 30 = - 32

y = 5x - 32 ← equation of parallel line

Answer:

Step-by-step explanation:

1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.

2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.

3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.

4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.

Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

Answer:

0.30

Step-by-step explanation:

I'm not hundred percent sure but I believe it's 0.30

Answer:

V=455

Step-by-step explanation:

V= (L)(w)(H)

v= (11.5)(10.5)(13)

v=1569.75ft^3

v= (1569.75ft^3)(.29/ft^3)=445

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

Answer:

52$

Step-by-step explanation:

13 (75% off) so 13 is 1/4 the price.

13x4 = 52

Answer:

Step-by-step explanation:

can you upload diagram?

Answer:

252.21m

Step-by-step explanation:

Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest