Which is the correct quotient with a letter as the remainder?

[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:

24

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

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

f-1)=1

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:

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

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:

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

The length is 5 units.

Answer:

30:40

Step-by-step explanation:

Item A:  item B :  total

3                 4        3+4

3                  4          7

The total is 70

70/7 = 10

Multiply each item by 10

Item A:  item B :  total

3*10           4 *10     7*10

30                 40       70

Answer:

30 and 40

Step-by-step explanation:

3 : 4  means 3 out of every 7 objects and 4 out of every 7.

[tex]\frac{3}{7} (70) = 30[/tex]

[tex]\frac{4}7} (70) = 40[/tex]

Answer:

conversions are below

Step-by-step explanation:

b) 25 m³ = 882.867 ft³

c) 11 ft² = 1584 in²

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

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°

;)

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

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

The answer is -7 (option A)

Steps are in the attachment.

_________

Hope it helps ✌

Answer:

if its easy do it

Step-by-step explanation:

Answer:

7.5/15 or something because yes

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

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

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:

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

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:

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:

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:

Step-by-step explanation:

-1/y

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]