A car traveled 240 miles in 3 hours. At this rate, how many miles will the car travel in 1/2 hour?

A. 40 mi

B. 20 mi

C. 120 mi

D. 80 mi

Helpppp!

Answer:

2.08

Step-by-step explanation:

logb 2 = 0.693

b^0.693 = 2

b = 0.693√2

log(0.693√2) 8

log 8 / log(0.693√2)

2.079

2.08

Answer:

Formula  for arc length  =

arc length  =  r  θ         where θ is in radians

So  we  have

2pi  =  5 θ             solve for θ  and we have that

θ  =  [ 2 pi ]  / 5

The area  of the sector   =

(1/2) r^2 θ   =   (1/2)(5^2) (2pi) / 5   =   5 pi  in^2  ≈ 15.7  in ^2

The rectangular  shape  has more area  = (5 * 4)   = 20 in ^2

Step-by-step explanation:

I don't think this will help but hope it does

the given expression does not represent a polynomial

Answer:

First box - divide both by 2

Second box - subtract 8 by 6

last box - subtract x

Answer:

1. 2

2. 4

3. 20

4. 10

5. 4

6. 4

Step-by-step explanation:

I'm not sure about the last one.

hope this helps

have a good day

Answer:

unsig elimination method to solve simultaneous equations

Step-by-step explanation:

[tex]4 {x}^{2} - 3x + 2 = 0[/tex]

We know that,

For the given quadratic equation

[tex]a {x}^{2} + bx + c = 0[/tex]

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

On comparing with the given equation we get

a=4,b=(-3),c=2

On substituting we get,

[tex]x = \frac{ - ( - 3) ± \sqrt{ {( - 3)}^{2} - 4(4)(2)} }{2(4)} [/tex]

[tex]x = \frac{3 ± \sqrt{9 - 32} }{8} [/tex]

[tex]x = \frac{3 + \sqrt{23}i }{8} or x = \frac{3 - \sqrt{23}i }{8} [/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{solve \: for \: x}[/tex]

[tex] \sf \red{ \bold{4x^{2} - 3x + 2 = 0}}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Here,

a = 4, b = - 3 and c = 2

By, using Quadratic formula, we get:

[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4.a.c } }{2.a} \\ \\ = \frac{ - ( - 3) \pm \sqrt{ { (- 3)}^{2} - 4 \times 4 \times 2 } }{2 \times 4} \\ \\ = \frac{3 \pm \sqrt{9 - 32} }{8} \\ \\ = \frac{3 \pm \sqrt{23} }{8} \\ \\ = \frac{3 \pm4.79}{8} [/tex]

Either,

[tex] \frac{3 + 4.79}{8} \\ \\ = \frac{7.79}{8} \\ \\ = 0.97[/tex]

Or,

[tex] \frac{3 - 4.79}{8} \\ \\ = \frac{ - 1.79}{8} \\ \\ = - 0.23[/tex]

[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]

Answer:

$45

Step-by-step explanation:

To solve the question we need to calculate what 10% of 450 is and to do that we multiply 450 with 10 an divide that by 100

450 x 10 / 100 = 45

This is the amount of commission she made last month.

Answer:

[tex]y = \frac{x}{5}[/tex]

Step-by-step explanation:

I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.

[tex]x = 5y\\y = \frac{x}{5}[/tex]

Answer:

Goals are easier to achieve in small steps.

Step-by-step explanation:

In the story she scared and she dont want to run a mile but when she tried to run and aim for that goal she finish the 1 mile without noticing it so it better if you take little by little each time to conquer your fear :)

Answer:

because -12 is smaller than x

Step-by-step explanation:

for example some one got 14$ and lost 12$ it mean this -12 and the remaining keep it as 12$ no plus sign

The fraction of people who chose summer is 1/9.

Fraction is a number that represents the part of the whole.

It is given that

The fraction of people who chose either spring or summer = 6/9

This can also be represented as P( Spring ∪ Summer) = 6/9

P( Spring ∪ Summer) =  P( Spring ) + P( Summer)   ---------- (1)

It is also given that

The fraction of people who chose spring = 5/9

The fraction of people who chose summer = ?

From the equation 1

6/9 = 5/9 + P(  Summer)

P(  Summer) = 1/9

Therefore , The fraction of people who chose summer is 1/9.

To know more about Fraction

https://brainly.com/question/10354322

#SPJ2

each interior angle= 168°

the number of sides the polygon has.

180- 360/n= 168

12= 360/n

n= 360/12

n= 30

therefore, the polygon has 30 sides.

the answer to your question is 30 sides

hope this helps

[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]

Answer:

(-4)³ = -64

(4)⁻³ = 1/64

Step-by-step explanation:

[tex]( - 4) {}^{3} = ( - 4) \times ( - 4) \times ( - 4) = - 64 \\ [/tex]

[tex] {4}^{ - 3} = (\frac{1}{4} ) {}^{3} \\ [/tex]

[tex] ({ \frac{1}{4} )}^{3} = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} \\ [/tex]

Answer:

4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

So . .

= 4.5  or 4 [tex]\frac{1}{2}[/tex]

Answer: the answer is 4½. It can be as a fraction 4½ and as a decimal 4.5.

Step-by-step explanation: when you find the volume , you will multiply the base area times the height . So Multiply them all .

1½ ×1½ × 2 = 4 ½ or 4.5 .

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS FRIEND .

Answer:

The coordinates of the epicenter are (1,2) ie x=1, y =2

Step-by-step explanation:

We use the fact that the distance d  between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²

Let the epicenter be located at (x, y)

Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>

(x-5)² + (y-2)² = 16              (1)

Similarly, the distance  from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9     (2)

Distance from point C(1,-3) ==>

(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)

(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7   (4)

This simplifies to
x² + -10x + 25 - (x² +4x + 4)  = 7
or
x² + -10x + 25 -x² -4x -  4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1

Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2

So we get the epicenter coordinates as x=1, y =2

Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16           Check!

Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9  Check!

Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5²   Check!

Answer:

5/7

Step-by-step explanation:

It goes up 5, and goes to the right 7.

We can translate word equations into number equations by recognizing key words as operations:

We're given:

Divide the sentence into parts:

Translate into numbers and operations:

Isolate n:

15 = 3 × (3n - 4)

15 = 9n - 12

27 = 9n

n = 3

15 = 3 × (3n - 4)

n = 3

Answer:

t=63

Step-by-step explanation:

2t = 126

t=63

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

See more on this topic here: https://brainly.com/question/27645158

Answer: 1 3/4

Step-by-step explanation:

8 1/2 - 6 3/4

change the 1/2 to 2/4

then take away 1 from 8 and add 4 to the 2 and it gets 6

6-3=3

7-6=1

Based on the vertical angles theorem, the measure of angle 1 is: 48°.

Vertical angles are always directly opposite each other and are formed when two straight lines crosses each other.

In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).

Therefore:

m∠1 = 48° (vertical angles)

Learn more about vertical angles on:

https://brainly.com/question/1673457

Answer:

X = 9

Step-by-step explanation:

Yes it´s 9 as said in the question

Answer:

y=-9x-9

Step-by-step explanation:

Just plug in your Ys and Xs in order to get y=-9x-9

Answer:

151 in

Step-by-step explanation:

circumference = 2πr

where r = radius

given radius appears to be 24 so r = 24

so we have C = 2πr and r = 24 and we use 3.14 for π

So C = 2(3.14)(24)

==> multiply 2 and 3.14

C = 6.28(24)

==> multiply 6.28 and 24

C = 150.72

The closest answer is 151 so that is the answer

Answer:

D

Step-by-step explanation:

2x²-24x-14=0

2(x²-12x-7)=0

x²-12x-7=0

Expand A, B, C, D

A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]

actually from here you can see B, C are not correct

D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)

Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars