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3 years ago

If (89)p = 818, what is the value of p? 9 and p and 18 is exponets

Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

If your equation is (8^9)^p=8^18, then 9p=18, p=2

Anni [7]3 years ago

5 0

Answer:

The value of p is 2.

Step-by-step explanation:

Given equation,

$(8^9)^p=8^{18}$

$8^{9\times p}=8^{18}$ ( $\because (a^m)^n=a^{mn}$ )

$8^{9p}=8^{18}$

$9p = 18$ ( $\because a^m =a^n\implies m = n$ )

Divide both sides by 9,

$p=2$

Hence, the value of p is 2.

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Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. H

lawyer [7]

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

8 0

2 years ago

Write the following question expression in simplest binomial form 4(3x-2)-2(4x+5)

Oduvanchick [21]

$4(3x-2)-2(4x+5)$

$12x-8-8x-10
$

$(12x-8x)+(-8-10)
$

$4x-18
$

4 0

3 years ago

A jar contains black and white marbles in the ratio 2:5. If the jar contains total of 35 marbles, how many of the marbles are bl

Svet_ta [14]

Answer:

10 black marbles

Step-by-step explanation:

Let black marbles be=2x

Then white marbles=5x

Total marbles=7x which in turn is equal to 35. Hence x=5

Black marbles=2*5=10

H2H

8 0

3 years ago

A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an addit

sweet [91]

Step-by-step explanation:

Step one:

We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.

Moreso, <em>a coupon is a voucher entitling the holder to a discount off a particular product</em>. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.

Step two:

<em>Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is</em>

=40/100*100

=0.4*100

=$40 off

= 100-40

=$60

<u>The total percent of reduction 10+40= 50%</u>

<u>This is equal to a discount on the sales price</u>

7 0

3 years ago

If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di

erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

$Work=Force*distance*Cos(\alpha)$

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

$Force=22N\\Distance=14m$

So, substituting the given information into the equation to calculate work, we have:

$Work=Force*distance\\Work=22N*14m=308N.m$

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0

3 years ago