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2 years ago

If 16x = 1/64, find the value of x

Mathematics

1 answer:

Ahat [919]2 years ago

8 0

Answer:

$16^x = 1/64$

$(2^4)x=64-^1=(2^6)=2-^6$

$2^4x=2-^6$

$4x=-6$

$x = - \frac{6}{4} = - \frac{3}{2}$

Step-by-step explanation:

$Thanks!!!$

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In the diagram, p is the centroid of abc and pd = 3. find bd.

Anna35 [415]

We know that
if P is the centroid of triangle ABC
so
PD=(1/3)*BD
BD=3*PD-----> BD=3*3-----> BD=9 units

the answer is
BD=9 units

8 0

3 years ago

Mrs. Peters is buying sets of block's. Four out of every 50 blocks are red.if she buys 275 how many will be red?

vfiekz [6]

Answer:

Step-by-step explanation:

theres 4reds every 50 so do 50x4 then you times that by four 50x4=200 so do 200x4=800

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3 years ago

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of pai

barxatty [35]

Answer:

$1\frac{1}{4}\ liters$

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

$1\frac{3}{5}=\frac{1*5+3}{5}=\frac{8}{5}$

step 2

Using proportion

$\frac{2}{(8/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=2/(8/5)\\ \\x=10/8\ liters$

step 3

Convert to mixed number

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8 0

3 years ago

15. Sonny has $75 to spend. The purchase he wants to make requires

7nadin3 [17]

If he has $75 and need $93 to make the purchase, he needs to find the difference between what he needs and what he has:

93 - 75 = 18

He needs to borrow $18 to make the purchase.

3 0

3 years ago

Read 2 more answers

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w

leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

$f(x)=6+30x$

now we can proceed to solve the cost of the walk for 45 minutes

$\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}$

now we can input the value into the equation and know the cost for 45 minutes walk

$\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}$

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0

1 year ago