Translate. Eight less than the difference of a number and five is twelve.

Answer:

r = 6

.....................

The amount of the account which is also the principal is = $3,188

The formula for calculating the simple interest (I) of an account is = P × T × R / 100

Making P the subject of formula, P = 100 × I / T×R

Where,

T = 2 years

R = 12%

I = $765. 13

[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]

[tex]p = \frac{76513}{24} [/tex]

p = $3,188

Therefore, the amount of the account which is also the principal is = $3,188

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Answer:

y = -1/3x - 5

Introduction:

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

Step-by step explanation:

Since we have found the slope, let's find the y-intercept to create our equation.

Conclusion:

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex](x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12[/tex]

The line of length 48 is passing through the midpoint of traingle so it's half of base

[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

Step-by-step explanation:

Just sum the number of cows and buffaloes:

2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.

Answer:

Step-by-step explanation:

here is an explanation:

2p²-p+4+p²+p+1=3p²+5

You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused  :) <3

Answer:

1.Identify the slope.

2.Identify the point.

4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

5.Write the equation in slope-intercept form.

Step-by-step explanation:

Answer:

y=-\frac{2}{3}x+3

Step-by-step explanation:

[tex]y=mx+b[/tex]

There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:

[tex]7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=mx+b\\\\y=-\frac{2}{3}x+3[/tex]

Answer:

Out off 100

Step-by-step explanation:

10 don't have dutch heritage.

20 don't have German heritage.

25 don't have English heritage.

100 - 55

At minimum, 45 people have all three heritages.

Answer:

10111

Step-by-step explanation:

10111

Answer:

d ≈ 60 ft., h ≈ 104 ft.

Step-by-step explanation:

Additionally: angle of depression = 60°

The angle of elevation and the angle of depression are congruent.

[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]

Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality

Given the following inequality, we are to check which of them has zero as a solution.

For the expression

4.1m >-16.4

m > -16.4/4.1

m > -4

Since 0 is greater than -4, hence zero is a solution to this inequality

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Answer:x-3

Step-by-step explanation:

Answer:

1 I don't know if those are questions but try if they are try the first one a

The second and last one.

The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.

The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.

Answer:

The second and last one

Step-by-step explanation:

Hope this helps and have a good day!

Answer:

Step-by-step explanation:

We are being asked for times, so we can express the rate in terms of seconds per meter.

  (15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter

__

1) It will take Robot A 1 1/14 seconds to go 1 meter.

2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)

Answer:

(8, 0)

(-2, 0)

(-3, 0)

Step-by-step explanation:

x - 8 = 0

x = 8

x + 2 = 0

x = -2

x + 3 = 0

x = -3

[tex](x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3[/tex]

Answer:

Ill help you if you come help me with mine c:

Step-by-step explanation:

here is mine:

The values of f(x) and g(x) are shown for selected values of x in the table below.

x f(x) g(x)

0 0 1

1 3 2

2 6 4

3 9 8

4 12 16

Of these two functions, one is exponential and the other is linear. Determine which of the functions is linear, and explain why this must be the case.

Answer:

11 C

12 D

13 B

14 E

15 A

Step-by-step explanation:

pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.

Answer:

242.9 grams

Step-by-step explanation:

Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Given:

cost per sack of crayfish = $62. 50

Delivery fee = $20. 00

y = Total cost

x = sacks of crawfish

The equation:

Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)

y = 20 + 62.50x

Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

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Answer:

4 are playing at the sand table

Step-by-step explanation:

There were 9 kids at Kenneth's preschool and 3 were playing, thats one third of the kids(3x3=9). One third of 12 is 4(3x4=12) Basically since there were 9 total kids, and 3 at the sand table, they are divided equally in groups of three so you just divide 12 by 3 too and thats how you get 4

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".

Now, You can see that from ABC to A'B'C',

it's rotated a positive 90 degrees.

And, Then, from A'B'C' to A"B"C", reflected across x-axis.

Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.

Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

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Answer:

x-y=12 or x=12+y??????

Step-by-step explanation:

6x+y=30

-2x-5y=18

Add the equations up: 4x-4y=48

Divide by 4

x-4y=12

Divide by 4 again

x-y=12

+y on both sides

x=12+y

(I might be wrong)

Answer:

[tex]x=6; y=-6[/tex]

Step-by-step explanation:

Unless you're required to use any particular method, let's add the first to twice the second to eliminate x:

[tex]6x+y-6x-15y=30+54 \rightarrow -14y=54 \rightarrow y=-6[/tex]

At this point let's plug this value of y in the first equation and find x:

[tex]6x+(-6)=30 \rightarrow x-1=5 \rightarrow x=6[/tex]

a) Point O

b) [tex]\overline{OB}[/tex]

c) [tex]\overline{AB}[/tex]

4) arc DE (m)

5) [tex]\overline{DE}[/tex]

6) Semicircle AEB

Answer: 11/24

Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.

There are 5 friends and him so that's 6 people.

So we can't do 11/4 divided by 6 so we must put 6 over 1.

So 11/4 divided by 6/1

Then we do "Keep Change Flip"

We keep 11/4

We change the division sign to multiplication

Then we flip 6/1 to 1/6

Then the problem is re wrote as:

11/4 times 1/6

And that equals 11/24 as your answer

So each person gets 11/24 of the pies.