Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?

Answers

Answer 1

Answer:

(E) 5

Step-by-step explanation:

Refer to picture

Calculating sums, we get a result of:

2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47

Sum of all digits is:

1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21

Considering this in the equation above, we get:

B + 2*21 = 47B = 47 - 42B = 5

Correct answer is (E) 5

Each Of The Points $A, B, C, D, E,$ And $F$ In The Figure Below Represents A Different Digit From 1 To

Related Questions

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9, and the population after 7 weeks is P7=37.

Find an explicit formula for the beetle population after n weeks.


After how many weeks will the beetle population reach 93?

Answers

Answer:

y = 4x + 9

week 21

Step-by-step explanation:

first I did 37-9 and got 28 I divide that by 7 ( seven weeks) and got 4 so I know the slope is 4.

so to find how many weeks till 93 I did; 93 = 4x + 9. We have to get x by its self so I minus 9 by both sides and got 84 = 4x. So now we divid both sides by 4 to get x by its self and we end up with 21 = x

Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether?

4. After tax is added to the sale price, how much does Molly pay for the dress?

Answers

Answer:

13.20

Step-by-step explanation:

20.00 - 40% + 10% = 13.20

Calculate the area of this triangle.
14 cm
11 cmi
18 cm

Answers

Answer: 99cm^2

Step-by-step explanation:

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[tex]area = \frac{1}{2} \times (height) \times (base) \\ [/tex]

[tex]height = 11 \: \: cm[/tex]

[tex]base = 18 \: \: cm[/tex]

Thus :

[tex]area = \frac{1}{2} \times 11 \times 18 \\ [/tex]

[tex]area = \frac{18}{2} \times 11 \\ [/tex]

[tex]area = \frac{2 \times 9}{2} \times 11 \\ [/tex]

[tex]area = 9 \times 11[/tex]

[tex]area = 99 \: \: {cm}^{2} [/tex]

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yo could anyone help me with this question chance to get brainliest and please and thank you

Gabriel opened a bank account. The balance is adjusted at a constant rate each week.

This equation y = 15x + 35 can be used to represent this situation, where y is the account balance in dollars and x is the number of weeks since he opened the account.

Which statement best describes the account balance, given this equation?


Gabriel opened the account with $35 and is depositing $15 per week into his bank account.

Gabriel opened the account with $15 and is depositing $35 per week into his bank account.

Gabriel opened the account with $35 and is deducting $15 per week from his bank account.

Gabriel opened the account with $15 and is deducting $35 per week from his bank account.

Answers

Answer: B: Gabriel opened the account with $15 and is depositing $35 per week into his bank account.

Which Expression Is Equivalent To 4(x+3)


A. 4x+3

B. 4x+12

C. 4x+3x

D. 4 + x+3

Answers

B which is 4x+12 because 4 times x is 4x and 4 times 3 is 12

Answer:

B

Step-by-step explanation:

Distributive property

[tex]4(x + 3)[/tex]

[tex]4 \times x + 4 \times 3[/tex]

[tex]4x + 12[/tex]

. A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?

Answers

Answer:

1200 milimeters

Step-by-step explanation:

A plane has an airspeed of 107 km/h . It is flying on a bearing of 85 degrees while there is a 30 km/h wind out of the northeast​ (bearing 225degrees ​). What are the ground speed and the bearing of the​ plane?

Answers

Answer:

GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPPPPPEEEEEEE

Step-by-step explanation:

Plssss just help me I have asked this question like 8 time plssssss help

Answers

Answer:

$1.50

Step-by-step explanation:

The constant of proportionality will be the cost for 1 ticket. This means you can find it by dividing the amount for 5 tickets.

7.5=5 tickets

divide both sides by 5

1.5= 1 ticket

one ticket costs $1.50, or the constant of proportionality

Answer:

1.50 would be your answer

Step-by-step explanation:

Ride Tickets x $1.50 = Cost

Hope this helpss!!

7 more than twice as many fruit loops is 5 less than triple the fruit loops

Answers

Answer:

What's the question lol ?

Step-by-step explanation:

What are the slopes to these ? Please answer

Answers

5. is slope of 0

6. is slope of -7

7. is slope of -2

8. is slope of -3/2

9. is slope of -1

10. is slope of 0 :)

Find the value of n. 0.09 × n = 0.054
HELP PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

n=0.6

Step-by-step explanation:

We want to get n alone so we can divide each side by 0.09.

So then n= 0.054/0.09.

n=0.6

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?

Answers

Answer:

gcf is 20 lcm is 40

Step-by-step explanation:

Determine the value of y, if x is –9.
y = |x|-7

Answers

Answer:

y=|x|-7
If x=-9 then...
y=|-9|-7
First get the absolute value of -9
y=9-7
Subtract, and your answer is...
y=2

A savings account increases from 150 ​$ to156 ​$. What is the percent increase of the savings​ account?

Answers

Answer:

4%

Step-by-step explanation:

to solve this you need to subtract 156-150=6

then take 6 divided by 150 which is 0.04

then take 0.04x100=4

Answer:

4%

Step-by-step explanation:

156 divided by 150 = 1.04, which equals 4%

• The height of a particular species of tree, in feet, r years after it is planted can be modeled by the
linear function h(x) = 5.27 +3.12x. Which of the following best interprets the y-intercept of the
linear model?
a. The average height of the species when planted is 5.27 feet.
b. The average height of the species when planted is 3.12 feet.
c. The species of tree grows by an average height of 5.27 feet per year.
d. The species of tree grows by an average height of 3.12 feet per year.

Answers

I think it’s gonna be B

Write in slope intercept form M=6,B=1

Answers

Answer:

y=6x+1

Step-by-step explanation:

y=mx+b

You replace m with 6 and b with 1.

Answer:

m=6,b=1

Step-by-step explanation:

bc find the value of b using formal for the equation of the line , hope this helped ^^

Ax+by=c solve for y​

Answers

by = c - Ax
y = (c -Ax)/b

Answer:

y = -Ax + C

Step-by-step explanation:

Ax + By = C

-ax            -ax

By  = -Ax + C

Answer:

y = -Ax + C

   

Karla grows vegetables and collected 32 1/2 lbs of produce to give to her friends. She gave her best friend 8 1/4. How much produce, in pounds, does Karla have left, PLEASE NEED HELP ASP

Answers

Answer:

24 1/4 lbs

Step-by-step explanation:

She starts off with 32 1/2 lbs.

She then gives 8 1/4 to her friend.

To find how much she has left, we subtract 8 1/4 from 32 1/2.

To make this easier, lets make them both have a common denominator:

32 2/4 - 8 1/4 = 24 1/4

I hope this helped, please mark Brainliest, thank you so much!

Write any number and its additive inverse.

Answers

Answer: Additive Inverse of 17 = -17

The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -17?" or "What is the additive inverse of negative 17?" is 17. Since the additive inverse of 17 is -17, additive inverse is also known as the opposite number.

Step-by-step explanation:

is this what you meant??

answer: 78 inverse -78

How do you do these two questions?

Answers

Answer:

T = -22/r + 39

(a) y = [130 − 130e^(-0.015t)] / 3

(b) 22.9

Step-by-step explanation:

d²T/dr² + 2/r dT/dr = 0

If S = dT/dr, then:

dS/dr + 2/r S = 0

dS/dr = -2/r S

dS / S = -2/r dr

ln S = -2 ln r + C

S = e^(-2 ln r + C)

S = Ce^(-2 ln r)

S = C [e^(ln r)]^-2

S = C / r²

dT/dr = C / r²

dT = C dr / r²

T = -C / r + D

When r=1, T=17.

17 = -C + D

When r=2, T=28.

28 = -C/2 + D

Solving:

11 = C/2

C = 22

D = 39

T = -22/r + 39

We can check our answer by finding dT/dr and d²T/dr².

dT/dr = 22/r²

d²T/dr² = -44/r³

Plug into the original equation:

d²T/dr² + 2/r dT/dr = 0

-44/r³ + 2/r (22/r²) = 0

0 = 0

The total flow into the tank is 15 L/min, and the total flow out is 15 L/min, so the volume is constant at 1000 L.  The amount of salt added to the tank is:

(0.05 kg/L) (5 L/min) + (0.04 kg/L) (10 L/min) = 0.65 kg/min

If y is the amount of salt in the tank at time t, and y/1000 is the concentration in the tank at time t, then the amount of salt removed from the tank is:

(y/1000 kg/L) (15 L/min) = 0.015y kg/min

The change in salt over time equals the amount of salt in minus the amount of salt out.

dy/dt = 0.65 − 0.015y

-200 dy/dt = 3y − 130

dy / (3y − 130) = -0.005 dt

3 dy / (3y − 130) = -0.015 dt

ln(3y − 130) = -0.015t + C

3y − 130 = Ce^(-0.015t)

3y = 130 + Ce^(-0.015t)

y = [130 + Ce^(-0.015t)] / 3

At t=0, y=0:

0 = (130 + C) / 3

C = -130

y = [130 − 130e^(-0.015t)] / 3

At t=50:

y = [130 − 130e^(-0.75)] / 3

y ≈ 22.9

PLEASE HELP ME!! 99 POINTS!!!!!!
Which of the following expressions have a value of 180 when b = 4?
Select all that apply.
A. 87b−179+957÷87
B. 33b12
C. b2+120
D. 51b−24
E. 11b+187−2,756÷13

Answers

Answer:

=> 51b - 24

=> 51(4) - 24

=> 204 - 24

=> 180

Answer:

A. 87b-179+957/87

D. 51b-24

Step-by-step explanation:

A. 87(4)-179+957/87

348-179+957/87

348-179+11

169+11

180

B. 33b12

33(4)12

553648128

C. b2+120

(4)2+120

8+120

128

D. 51b-24

51(4)-24

204-24

180

E. 11b+187-2756/13

11(4)+187-2756/13

44+187-2756/13

44+187-212

231-212

19

Please help I don’t understand

Answers

Answer:

The equivalent ratios are:

16:10

8:5

48:30

Step-by-step explanation:

It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.

given ratio is:

16:10

which simplifies to

8:5

We can observe that the second ratio will be same 8:5

Now,

[tex]\frac{8}{5} = \frac{x}{30}\\x = \frac{8}{5} * 30\\x = 48[/tex]

Hence,

The equivalent ratios are:

16:10

8:5

48:30

Simplify The Complex Fraction -3/5 ÷ 2 1/4​

Answers

Answer:

Simplify the expression.

Exact Form:

-4/15

Decimal Form:

-0.2666666......

Step-by-step explanation:

What does the speaker do well here? Check all that apply. asks questions prepares thoroughly includes information and opinions responds to questions speaks mostly about her opinions

Answers

Answer: B C D

Step-by-step explanation:

Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (4,-9)
Midpoint: (10,8)

Answers

Answer:

Other Endpoint (x₂,y₂) = (16,25)

Step-by-step explanation:

We are given endpoint = (4,-9) and midpoint(10,8) we need to find the other endpoint of line segment.

Let other endpoint be (x₂,y₂)

The formula used to find other endpoint is using formula of midpoint

[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We have [tex]x_1=4 , y_1= -9 , x_m=10, y_m=8[/tex]

Using formula and finding (x₂,y₂)

[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(10,8)=(\frac{4+x_2}{2},\frac{-9+y_2}{2})\\10=\frac{4+x_2}{2} , 8=\frac{-9+y_2}{2}\\Finding\ x_2\\10*2=4+x_2 \\20=4+x_2\\x_2=20-4, \\x_2=16\\Finding \ y_2\\8*2=-9+y_2\\16=-9+y_2\\y_2=16+9\\y_2=25[/tex]

So, x₂=16 and  y₂=25.

So, Other Endpoint (x₂,y₂) = (16,25)

Kari weighs x pounds. Her sister, Maddie, weighs 4 pounds more than her. Their dad weighs 5 times more than Maddie. Write an expression to show the weight of the dad. Simplify the expression.

Answers

Answer:

x plus 4 times 5

Step-by-step explanation:

Answer:

5x + 20

Step-by-step explanation:

5 (x + 4)

which is 5x + 20

.

8. The table below tracks how much money a taxi driver spent on gas each day:
Monday
Tuesday
Wednesday Thursday
Friday
Money spent
on gas
$57.81
$15.42
$12.50
$84.12
????
If the taxi driver spent an average of $44.15 on gas each day, how much did he spend on Friday?

Answers

Answer:

50.90$

Step-by-step explanation:

add Monday through Friday= 169.85

then multiply 44.15 by 5 = 220.75

subtract both 220.75 by 169.85 = 50.90

Answer:

Step-by-step explanation:

4:■ =8 :14 fhjyghjhgj

Answers

Answer:

■ = 7

Explanation:

Because there two ratios are proportional as a result of being equal.

To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.

i.e a : b = a/b.

So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.

i.e a/b = c/d → b × c = a × d → bc = ad

Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.

8■/8 = 56/8

1■ = 7

■ = 7

This method works for a missing part pretty much anywhere.

____________________

This is a little faster for ratios:

To find the value of the unknown part of the ratio,

just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.

4 : ■ = 8 : 14

Notice that 4 corresponds to 8

So the factor between these is 2.

Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.

Therefore ■ = 14 × 1/2 = 14/2 = 7

Please help I need this ASAP!

Answers

Answer:

nope

Step-by-step explanation:

6. When an asset increases in value, it is said to
appreciate
depreciate
be at market value
have valuized

Answers

Answer:

appreciate plzz mark as brainliest

appreciate is the correct answer
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