Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?

Answer:

See image

Step-by-step explanation:

Let w=width

And let l=length

Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.

Step-by-step explanation:

let the width of the rectangle=x

the length=x+2.3

Since perimeter=28.6

We know that perimeter of a rectangle is given by

P=2(l+w)

28.6=2(x+2.3+x)

28.6=2(2x+2.3)

28.6=4x+4.6

28.6-4.6=4x

4x=24

x=24/4=6

Therefore width is 6inches and length is 8.3inches

Answer:

The first answer is 21x+22.

Second answer is 36+3x.

Third answer is 29x+6.

Step-by-step explanation:

I just simplified

Answer:

Joel can do 20 math problems in 90 seconds

He can do 1 math problem in 90/20 = 4.5 seconds

Now, Joel can do 32 math problems in

4.5×32

= 144 seconds

= 2 minutes 24 seconds

Step-by-step explanation:

Here I used the unitary method to sovle the question

Answer:

C)

Step-by-step explanation:

Because Its equivalent

Answer:

54 X 68=3672

Step-by-step explanation:

Answer:

3/16

Step-by-step explanation:

start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2

then set up your equation:

3/2 x 1/8

you do the resipricol of one of the numbers so instead of 8/1 we do 1/8

3 times 1= 3

2 times 8 is 16

3/16 does not simplify so thats your answer

Answer:

3/16

Step-by-step explanation:

((1 1/2)/8)=(3/2)/8

8 times 2(demoninator)=16

numerator stays same so the answer is 3/16

Check the picture below.

Answer:

∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)

Answer:

a) (2x+3) (x+4)

b) (5x-3) (x-1)

c) (-2x-3) (x-3)

d) 3(x-1) (3x-8)

e) -2(3x+5) (x-2)

f)  h(4x-3) (3x-4)

g) -(x-3) (x+7)

h) (3x-2) (x+3)

i)  2(2x+1) (x-2)

j) (3h+2) (h-7)

Step-by-step explanation:

your welcome :)

Answer:

a)

(x+4)(2x+3)

b)

(x-2)(5x-3)

c)

(-x+3)(2x-3)

d)

3(x-1)(3x-8)

e)

2(-x+2)(3x+5)

f)

h(3x-4)(4x-3)

g)

(x+7)(-x+3)

h)

(x+3)(3x-2)

i)

2(x-2)(2x+1)

j)

(h-7)(3h+2)

Hope this helps!

Answer:

HOLA MATE HERE IS UR ANSWER:-

Step-by-step explanation:

Answer:

Slope is [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=-3\sqrt{x}[/tex]

Find the derivative using the product rule:

[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]

[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]

[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]

Plug in coordinates to find slope at that point:

[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]

Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].

Answer:

Step-by-step explanation:

f(x) = -3√x

f'(x) = -1.5/√x

f'(x) = -1.5/√9

f'(x) = -1.5/3

f'(x) = -0.5

Answer:

?????????????????????????

Answer:

[tex]a=\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]

[tex](a-1)(a-4)=(a-3)(a+1)[/tex]

[tex]a^2-5a+4=a^2-2a-3[/tex]

[tex]-5a+4=-2a-3[/tex]

[tex]-3a+4=-3[/tex]

[tex]-3a=-7[/tex]

[tex]a=\frac{7}{3}[/tex]

Answer:

2 + 5 x a = 22

Step-by-step explanation:

Answer:

14° and 166°

Step-by-step explanation:

Ok, so a supplementary angle is 180°.

Let's say one angle is x and the other angle is x+152.

We know these angles add up to a supplementary angle (180°) so...

x+(x+152)=180

x+x+152=180

2x+152=180

2x=28

x=14

So now we know one angle is 14°, we also know the other angle is x+152, knowing that x=14 we can plug it in 14+152= 166° for the other angle.

Hope this helps :)

Answer: 1260 books

Step-by-step explanation:

2/5=0.4

19000x0.4=7600

12500x0.4=5000

7600+5000=12600

1/10=0.1

12600x0.1 = 1260

/Answer:

1,260 books (or C)

Step-by-step explanation:

1. 2/5 of fiction (12,500) are out, so 5,000 are out

2. 2/5 of non-fiction (19,000) are out, so 7,600 are out

3. Total books checked out are 12,600

4. 1/10 of checked out books are due this week, so 1,260 books (10%)

Answer:

120

Step-by-step explanation:

round 19.99 to 20 and do 20 times 6

Answer:

a. 587

b. 543

Step-by-step explanation:

a. Mean = sum / number of numbers

To find the sum, we can add the numbers up.

432 + 543 + 348 + 788 + 823 = 2934

There are 5 numbers. Our mean is thus

2934/5 = 586.8, or 587 when rounding up. We round up because we have a .8 at the end, and 8 ≥ 5

b. To find the median, we first must order the numbers. The numbers ordered are this:

348 ,  432 , 543 , 788 , 823

To find the median, we can cross off one number on each side until we are left with one or two numbers.

348 ,  432 , 543 , 788 , 823

cross out one number from each endpoint

432 , 543 , 788

cross out one number from each endpoint

543

Answer:

Step-by-step explanation:

each zero of the function will have a factor of (x - x₀)

h(x) = a(x + 3)(x + 2)(x - 1)

h(x) = a(x + 3)(x² + x - 2)

h(x) = a(x³ + 4x² + x - 6)

or the third option works if a = 1

however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2

h(x) = -2x³ - 8x² - 2x + 12

to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

d = distance      v[tex]i[/tex] = initial velocity (m/s)    

t = time (s)     a = acceleration (m/[tex]s^{2}[/tex])

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)

220.98m = (4.905m/[tex]s^{2}[/tex])(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

Answer: the answer is 3 3/4

Answer:

15 km

Step-by-step explanation:

Answer:

Bottom right

Explanation:

visualize both triangle connected to the middle rectangle, and that's a triangular prism

Answer:

D.18

Step-by-step explanation:

6-x=-12

-x=-12-6

-x=-18   divide both sides by -1

x=18