What is the slope to this line?

Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their

Andre45 [30]

Answer:

$Aaron=1188$

$Beth=1782$

$Charlie=2970$

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

$A=\frac{2}{10} *5940$

$A=1188$

For Beth

$B=\frac{3}{10} *5940$

$B=1782$

For Charlie

$C=\frac{2}{10} *5940$

$C=2970$

Check answer

$A+B+C=5940\\1188+1782+2970=5940$

4 0

2 years ago

Robin can clean 72 rooms in 6 days how many rooms can robin clean in 9 days

galben [10]

Hello!

Robin can clean 72 rooms in 6 days. How many rooms can Robin clean in 9 days?

We have a proportional magnitude (directly proportional), if we increase the number of days for cleaning, obviously we will have more rooms cleaned, then:

clean rooms __________ days

72 ----------------------------------- 6

y ------------------------------------- 9

$\dfrac{72}{y} = \dfrac{6}{9}$

multiply the means by the extremes

$6*y = 72*9$

$6\:y = 648$

$y = \dfrac{648}{6}$

$\boxed{\boxed{y = 108}}\Longleftarrow(clean\:rooms)\end{array}}\qquad\checkmark$

Answer:

108 clean rooms in 9 days

________________________

I Hope this helps, greetings ... Dexteright02! =)

6 0

2 years ago

The density of a fluid is given by the empirical equation rho=70.5 exp(8.27 X 10^-7 P) where rho is density (lbm/ft^3) and P is

jasenka [17]

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

5 0

2 years ago

Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of b

Neporo4naja [7]

Answer:

$x+(3x+2)=30$

Step-by-step explanation:

Let

x ----> the length of Zach's car

y ----> the length of Ginny's car

we know that

The sum of the lengths of both cars is 30 inches

so

$x+y=30$ ----> equation A

Ginny's car is 2 more than 3 times the length of Zach's car

so

$y=3x+2$ ----> equation B

substitute equation B in equation A

$x+(3x+2)=30$

8 0

2 years ago

Which expression has the same value as 9,381x5?

elena55 [62]

Answer: C) (9000x5) + (300x5) + (8~5) + (1x5)

Step-by-step explanation:

First Find what 9381 times 5 is.

9381x5=46108

Now Find out all the equations.

9000x5= 45000

300x5=1500

8-5=3

1*5=5

Now Add it all up.

45000+1500=46100

46100+3=46103

46103+5=46108

So, Your Answer is (C)

Your Welcome.

3 0

2 years ago