Find an equation of the line passing through the point (2, 7) with slope m= 6.

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.

Answer:

96.90

Step-by-step explanation:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

[tex] \: [/tex]

[tex] = 125[/tex]

Step-by-step explanation:

[tex]25 + 100 = ?[/tex]

[tex]25 + 100 = 125[/tex]

[tex] \: [/tex]

Answer:

y = - 9x + 42

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 9 , then

y = - 9x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 36 + c ⇒ c = 6 + 36 = 42

y = - 9x + 42 ← equation of line

80=5x+12.5

We just use the equation y=mx+b. Where 80 is our Y, 5 is our slope, or m, and 12.5 is our constant, or b.

For the giggles I'll also solve the equation.

80-12.5=5x

67.5=5x

67.5 / 5 = x

13.5 = x

This means that each ticket was $13.5. Wow, that's an expensive ticket.

I hope this helps! :)

Answer:

I will answer soon aim coming

Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

Answer:

I think it's 2 and 5

Step-by-step explanation:

I hope this helps

Answer:

4,6,2,7

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

soln,

d=28m

r=d/2=28/2

=14m

now,

[tex]\pi {r}^{2} [/tex]

22/7×(14×14)

22/7×196

=616m^2

Answer:

Rachel ends up with 9 chocolate bars.

Step-by-step explanation:

16 - 4 = 12

quater is 1/4, so

12 / 4 = 3

12 - 3 = 9

Answer:

9 chocolate bars

Step-by-step explanation:

Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.

Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.

That leaves Rachel with 9, because 12 - 3 is 9.

Answer:

For question 3b the answer is no because the common difference is 4

Step-by-step explanation:

6,10,14,18,22,26,30,34

It will be 34 not 33

Answer:

  f(x) = x³ -4x² -5x +20

Step-by-step explanation:

If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...

  f(x) = (x -4)(x +√5)(x -√5)

  = (x -4)(x² -5)

  f(x) = x³ -4x² -5x +20

Answer

7 i i think

Step-by-step explanation:

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]

Step-by-step explanation:

3x² = -24x

Divide through by x

3x = -24

x = -24/3

x = -8

Answer:

Maybe 34cm

Sana makatulong..

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is D)130 hope it helps

Answer:

12

Step-by-step explanation:

Answer:

There are 8 pieces of string cut

Explanation:

27.2 ÷ 3.4 = 8

Answer:

thanks for the points new comer you will get use to it

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Answer: 1

Step-by-step explanation: use foil and get 4-3.

Answer:

3.5

Step-by-step explanation:

Error=11.4-11=0.4

Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth

The percent error in estimate is 3.5%

In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.

Given

measured value  = 11 inches

actual value = 11.4 inches

percent error = ((actual value - Estimate value)/actual value)100

percent error =  ((11.4 - 11)/11.4)100

percent error = 0.03508 x 100

percent error =  3.508% = 3.5%

Hence the percent error is 3.5%.

Learn more about error;

brainly.com/question/19575648

#SPJ5

Answer:

About 66 Lb

Step-by-step explanation:

Answer:

[tex](C) \ a=\frac{1}{b}.[/tex]

Step-by-step explanation:

(a+b)²=a²+b²+2;

a²+2ab+b²=a²+b²+2;

2ab=2;

ab=1

Answer:

00000

Step-by-step explanation: