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zysi [14]
3 years ago
14

Now consider just the second sentence of the multistep word problem. Sentence 2: If four times the brother's age is subtracted f

rom three times the sister's age, the difference is 40. Give an equation that represents this statement using b as the age of the brother and s as the age of the sister. Express your answer in terms of s and b.
Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

4b - 3s = 40

4b = 40 + 3s

b = 40 - 3s/4

4b - 3s = 40

4b - 40 =3s

4b - 40 /3 = s

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How would you know if these are a positive or a negative 0,1) and (-3,6).
Ipatiy [6.2K]
Negative has the little dash in front of it

Thank you hope this helps
7 0
3 years ago
Explain solving systems of equations using substition?
Nitella [24]

when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?

8 0
3 years ago
A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even.
iVinArrow [24]

Answer:

Size of |E n B| = 2

Size of |B| = 1

Step-by-step explanation:

<em>I'll assume both die are 6 sides</em>

Given

Blue die and Red Die

Required

Sizes of sets

- |E\ n\ B|

- |B|

The question stated the following;

B = Event that blue die comes up with 6

E = Event that both dice come even

So first; we'll list out the sample space of both events

B = \{6\}

E = \{2,4,6\}

Calculating the size of |E n B|

|E n B| = \{2,4,6\}\ n\ \{6\}

|E n B| = \{2,4,6\}

<em>The size = 3 because it contains 3 possible outcomes</em>

Calculating the size of |B|

B = \{6\}

<em>The size = 1 because it contains 1 possible outcome</em>

8 0
3 years ago
NEED HELP ON ALL OF THESE PLEASE
tangare [24]

Answer:

1) 2670m^2

2) 4718 in^2

3) 4730 ft^2

4) 7900cm^2

5) 11 542mm^2

6) 3740m^2

7) 6374m^2

8) 2824 ft^2

9) 6004mm^2

Step-by-step explanation:

Area of a rectangular prism = 2wl + 2lh + 2hw

Where,

w = width

l = length

h = height

1) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 10m; l = 31m; w = 25m

Area = 2(25m)(31m) + 2(31m)(10m) + 2(10m)(25m)

= 2(775m^2) + 2(310m^2) + 2(250m^2)

= 1550m^2 + 620m^2 + 500m^2

= 2670m^2

2) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 21 in; l = 35 in; w = 29 in

Area = 2(29in)(35in) + 2(35in)(21in) + 2(21in)(29in)

= 2(1015in^2) + 2(735in^2) + 2(609in^2)

= 2030in^2 + 1470in^2 + 1218in^2

= 4718 in^2

3) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 19 ft; l = 39ft; w = 28ft

Area = 2(28ft)(39ft) + 2(39ft)(19ft) + 2(19ft)(28ft)

= 4730 ft^2

4) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 24,cm; l = 49cm; w = 38cm

Area = 2(38cm)(49cm) + 2(49cm)(24cm) + 2(24cm)(38cm)

= 7900cm^2

5) 11 542mm^2

6) 3740m^2

7) 6374m^2

8) 2824 ft^2

9) 6004mm^2

Note : Kindly follow the same process for the remaining questions, you'd get their correct answers. I can't finish up due to time constraints. However, you may send me a direct message for the remaining answers. Thank you.

5 0
3 years ago
Read 2 more answers
If Tanisha has ​$nbsp 100 100 to invest at 66​% per annum compounded semiannuallysemiannually​, how long will it be before she h
Oxana [17]

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6%  = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × e^{rt}   ..........1

put here all value we get

amount = payment × e^{rt}  

150 = 100 × e^{0.06t}  

take ln both side

ln 1.5 =  e^{0.06t}  

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

7 0
3 years ago
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