Carly jogged 1/2 mile in 1/10 of an hour. At this rate, how long does she jog in one mile?

Answer:

y = 7 - 2x

Step-by-step explanation:

Step 1:

2x + y = 7               Equation

Step 2:

y = 7 - 2x          Subtract 2x on both sides

Answer:

y = 7 - 2x

Hope This Helps :)

Answer:

-7°F/hour.

Step-by-step explanation:

If the total change is -28°F, and we know it took 4 hours, we just have to divide the total change by hours taken to get the change per hour.

So we do the following: [tex]\frac{-28F}{4} = -7F/h[/tex]

So the temperature changes (drops) by -7°F/hour.

Answer:

X =1/(b2x+2b)

Step-by-step explanation:

bx2 +2x +1/b = 0

bx2+2x=1/b

bx2(b) +2bx = 1

x(b2x+2b)=1

x=1/(b2x+2b)

here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.

Answer:

B) Exactly one solution. (-3.5)

Step-by-step explanation:

5x + 8 - 7x = -4x + 1

combine like terms

5x - 7x + 8 = -4x + 1

-2x + 8 = -4x + 1

add 4x to both sides

-2x + 4x + 8 = -4x + 1 + 4x

2x + 8 = 1

subtract 8 from both sides

2x + 8 - 8 = 1 - 8

2x = -7

divide both sides by 2.

x = -3.5

3.5, clearly, is only one number.

Answer:

That will be 0.00512

If y = x and y = z, then by substitution we can say x = z.

In this case, substitution gives us

-1/2 x - 2 = -3/2 x + 2

and we can solve for x :

3/2 x - 1/2 x = 2 + 2

x = 4

then solve for y :

y = -1/2 x - 2

y = -1/2 * 4 - 2

y = -2 - 2

y = -4

Answer:

7556

Step-by-step explanation:

Can You Please give me a Brainlies or how ever you spell it

Answer:

5304

Step-by-step explanation:

80+1246√16

= 1326√16

= 5304.

Answer:

85,524 bacteria

Step-by-step explanation:

Given the population of bacteria modelled by the equation where;

[tex]P_t = P_0\cdot 2^{\frac{t}{d}[/tex]

P0 is the initial population

t is the time in hours

d is the doubling time

If the culture of bacteria has an initial population of 12000 bacteria, this means that;

at t = 0, P0 = 12000

substitute into the modelled function

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{0}{d}\\\\\\P_t =12000\cdot 2^{0}\\\\P_t = 12000[/tex]

If the population doubles every 6 hours

at t = 6, Pt = 24000

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\\\24000 = 12000\cdot 2^{\frac{6}{d}\\\\\\\\24000/12000 = 2^{\frac{6}{d}\\\\\\\\[/tex]

[tex]2 = 2^{\frac{6}{d} }\\1 = 6/d\\d = 6\\[/tex]

Next is to get the population of bacteria in the culture after 17 hours

at t = 17, Pt = ?

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{17}{6}\\\\\\\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000 * 7.127\\P_t = 85,524.3[/tex]

Hence the population of bacteria in the culture after 17 hours, to the nearest whole number is 85,524 bacteria

Answer:Pt 85526.2769 = 85526

Step-by-step explanation:

Rearrange the polynomial:

a^2–2ab+b^2 - c^2

((a-b)(a-b))-c^2

(a-b)^2-c^2

Set x =a-b and y=c. The formula becomes

x^2-y^2

factoring this polynomial, we get

(x+y)(x-y)

Substituting back, we get:

(a+b+c)(a+b-c)

Let’s multiply it out to check:

A^2 -ab ac

- ab B^2 -bc

-ac bc -c^2

Answer:

Step-by-step explanation:

Use of formula:

Factoring the expression

Answer: C. Rickys rate was 0.25 more per hour" .

Step-by-step explanation:

Susan received $27 for 6 hours of work. Susan's rate we hour will be:

= $27/6

= $4.5

Ricky received $14.25 for 3 hours of work. Ricky's rate will be:

= $14.25/3

= $4.75

From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .

This is because $4.75 - $4.5 = $0.25

Answer: -7

Step-by-step explanation:

2X + 4= -10

2X= -10 -4

2X= -14

X= -7

Answer:

The object hits the ground 8 seconds after launch.

Step-by-step explanation:

Let [tex]h(t) =-16\cdot t^{2}+96\cdot t + 256[/tex], where [tex]h[/tex] is the height of the object above the ground, measured in feet, and [tex]t[/tex] is time, measured in seconds. We notice that given expression is a second-order polynomial and hence, there are two roots, one of them corresponding to the instant when the object hits the ground. If [tex]h(t) = 0[/tex], we get the following expression:

[tex]-16\cdot t^{2}+96\cdot t +256 = 0[/tex] (Eq. 1)

Roots are found by applying the Quadratic Formula:

[tex]t_{1,2} = \frac{-96\pm\sqrt{96^{2}-4\cdot (-16)\cdot (256)}}{2\cdot (-16)}[/tex]

[tex]t_1 = 8\,s[/tex] or [tex]t_{2} = -2[/tex]

Only the first root offer a solution that is physically reasonable. Thus, the object hits the ground 8 seconds after launch.

Answer:

1.837 X 10^9 is 5103 times greater than 3.6x10^5

Step-by-step explanation:

1.837 X 10^9 =

Calculate the value

Solution

1,837,000,000

3.6x10^5

Evaluate the power

3.6 x 100,000

Multiply the numbers

360,000

Solution

360,000

Divide

1,837,000,000 / 360,000

Solution  

5102.77778

Round

5103

1,837,000,000 > 360,000

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

midpoint = [tex]\frac{-6-4}{2}[/tex], [tex]\frac{1+3}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

Answer:

28$ more

Step-by-step explanation:

To answer this you'll need to subtract $354 out of $381.

You should get 27 (or $27).

That means that the canoe costs $27 more then the rowboat.

________________________________________________

Sorry if this is unhelpful.

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

[tex]495=165+55m[/tex]

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

[tex]495=165+55m[/tex]

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

[tex]495-165=55m[/tex]

[tex]330=55m[/tex]

Divide both sides by 55.

[tex]\dfrac{330}{55}=m[/tex]

[tex]6=m[/tex]

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

Answer:

I think it’s C

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

-2x/7=3x-46

7(-2x/7)=7(3x-46)

-2x=21x-322

-23x=-322

x=14

Answer:

[tex]n = \frac{1}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

Do you mean?

[tex] \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } [/tex]

If so:

[tex]3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} [/tex]

Did the question specify which quadrant? I'm just going to assume that it's the first

(as tangent = opp/adj)

hence

Hypotenuse:

[tex] \sqrt{{3}^{2} + {4}^{2} } = 5[/tex]

[tex] \sin(x) = \frac{4}{5} [/tex]

Finally,

[tex] \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} [/tex]

Answer:

the better one to buy is a box of 36 pens for $5.76. because it is cheaper per pen.

Step-by-step explanation:

4.32 / 24 = 0.18 cents a pen

5.76 / 36 = 0.16 cents a pen

Answer:

31

Step-by-step explanation:

Depth Changes:

1. down 25 feet

2. down 10 feet

3. up 7 feet

4. down 3 feet

If we form this into an equation, we get:

25+10-7+3 = 31

Answer:

The answer is D: Yes, BD = 7 and CE = 7

Step-by-step explanation:

B--> -5

D --> 2

-5 + BD = 2

BD = 7

C--> 0

E --> 7

0+CE=7

CE = 7

The answer is D

Answer:

7/12 is the answer

Answer:

6 miles

Step-by-step explanation:

15.50-5 is 10.50 and 10.50/1.75 is 6

hope this helped also could i get brainliest?

Answer:

1/3  of all the students called in to inform the school about missing school this day

Step-by-step explanation:

4/5 = students that call the school to inform the school office

only 7/12 attended Calvin Middle School

To get the number of students that missed Calvin Middle School = 1 -  number of students that attended Calvin Middle School

= 1 - 7/12 = (12-7) / 12

= 5 /12

The fraction of all students that called in to inform the school about missing school this day is:

5/12 x 4/5 = 1/3

Answer:

There are 20 boys

Step-by-step explanation: