If p is inversely proportional to the square of q, and p is 8 when q is 3, determine p when q is equal to 2.

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

Answer:

  a) £210

  b) £1651.38

Step-by-step explanation:

After the reduction, the price is 1 -30% = 0.70 of what it was.

  0.7p = £147

  p = £147/0.7 = £2.10 . . . price before decrease

__

After the increase, the price is 1 +9% = 1.09 of what it was.

  p = £1800/1.09 ≈ £1651.38 . . . price before increase

Answer:

24

Step-by-step explanation:

The length is 5 units.

Answer:

equation: 10.00+2.50h=7.00+4.00h

10+2.5h-4h=7

10-1.5h=7

-1.5h=7-10

1.5h/1.5=-3/1.5

h=2

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help

The answer is -7 (option A)

Steps are in the attachment.

_________

Hope it helps ✌

Answer:

conversions are below

Step-by-step explanation:

b) 25 m³ = 882.867 ft³

c) 11 ft² = 1584 in²

[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]

[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]

[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]

[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

Compare and solve for p:

Answer:

1

Step-by-step explanation:

f(-1)= -3(-1) -2

f-1)=1

Step-by-step explanation:

x, y are the 2 numbers

x + y = 24

x - y = 5

x = y + 5

and that in the first equation

y + 5 + y = 24

2y = 19

y = 9.5

x = y + 5 = 9.5 + 5 = 14.5

the 2 numbers are 9.5 and 14.5.

Answer:

[tex]a^{\frac{15}{2} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

([tex]a^{\frac{1}{2} }[/tex] × a)^5

= [tex](a^{\frac{1}{2}+1) }[/tex]^5

= [tex](a^{\frac{3}{2}) } ^{5}[/tex]

= [tex]a^{\frac{15}{2} }[/tex]

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

Answer:

Step-by-step explanation:

-1/y

Answer:

if its easy do it

Step-by-step explanation:

Answer:

7.5/15 or something because yes

The cost of one concert ticket is approximately  $148.59.

The tickets sales for the local sales is totalled $101, 244 yesterday.

ticket sales yesterday = $101244

He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)

The cost of one ticket can be calculated below:

cost of one ticket = 143,836 / 968

cost of one ticket = 148.590909091

cost of one ticket ≈ $ 148.59

read more: https://brainly.com/question/15471320?referrer=searchResults

Step-by-step explanation:

1.) distribute (-3/(4x+8)=6)

2.) move 8 (-3/4x=-2)

3.) multiply by 4x (-3= -8x)

4.) divide by -8 (x=2.6)

:)

Answer:

8y - 80

Step-by-step explanation:

    Perimeter, put simply, is all of the sides added up together. It will look like this:

(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)

    Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:

4(2y -10)

    Now we will distribute:

8y - 80

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Its jsut combining like terms

Perimeter is basically the out sides all  added up in this case everything is equal

so its

2y-10+2y-10+2y-10+2y-10

8y-40

8y-40 is your final answer

Answer:

  13 refrigerators and 7 pianos will NOT overload the truck

Step-by-step explanation:

For x refrigerators, their total weight is 300x.

For y pianos, their total weight is 525y.

The total weight of both of these together must not exceed 7600, so the inequality is ...

  300x +525y ≤ 7600

__

The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.

__

Check

  300(13) +525(7) = 7575 . . . this is less than 7600

Answer:

Step-by-step explanation:

Represent the number of refrigerators by r and that of pianos by p.

Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.

Find the total weight of the load consisting of 13 refrigerators and 7 pianos.   The inequality given above becomes:

w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb

w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:

w(13, 7) = 3900 lb + 3675 lb = 7575 lb

Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.

Answer:

13/8-3/4. LCM=2×2×2=8

= find the LCM of the denominators. 2 8 4

= 13 -6 /8 2. 4. 2

= 7/8 2 2. 1

; 1. 1

[tex]15 \times   (1 + .6) = 24 \: \: \: liters[/tex]

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

4(x − 3) − 5(x + 1) = 3

The first thing would be distribute the 4 and the 5 respectively

4x-12 -5x-5 =3

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z