Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]
Step-by-step explanation:
Here we need to use the property:
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
We have the expression:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]
We can separate it in parts with the same base, then we can rewrite this as:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]
Using the first property we can rewrite this as:
[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]
A squirrel is trying to prepare for the winter. As it gets closer to winter, he starts to collect a lot of acorns. He collects 6 the first day and doubles the amount he collects each day. What is an equation that represents this situation?
Answer:
6x + 12x + 24x + 48x.....
Step-by-step explanation:
A squirrel Is preparing for winter
It begins to collect acorns
Let x represent the acorns
He collects 6 the first day and doubles the amount he collects each day
The equation can be represented as
6x + 12x + 24x + 48x........
1/4 divided bye 3/3 is what
Step-by-step explanation:
.25 or 1/4 hope this helps
Answer:
1/4
Step-by-step explanation:
Any expression divided by itself equals 1
1/4÷1
Any expression divided by 1 remains the same
1/4
the solution is 1/4
HELP ASAP. solve for x
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (Opposite angles are equal)
x = 110 - 30
x = 80
A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
Answer: 90
Step-by-step explanation:
Answer:
90m
Step-by-step explanation:
you have to cross multiply.
1) multiply (12 * 15) and multiply 2 * X)
2) you get 180 = 2x
3) to get X alone divide 180 by 2 and you will get 90meters
Please help me solve this
What is the volume of the prism?
*Do NOT round your answer.
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
[tex]Volume=lwh[/tex]
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]
Answer:
the volume of the prism=length ×breadth ×height =10×5×6=300in³
Carlos left the mall at the same time as
Gabriella. They traveled in opposite
directions. Gabriella traveled at a speed
of 50 mph. After two hours they were 180
mi. apart. How fast did Carlos travel?
Answer:
40 mph
Step-by-step explanation:
After the 2 hours Gab travelled 100 miles (50*2), subtract this from 180 to find how many miles Carlos travelled. Divide this number by 2 to figure out the mph
Combine the like terms
X + x + y + y - y + x -2 =
solve with substitution 3x + y =19 -6x - 5 = y
Answer:
x=-8
Step-by-step explanation:
3x + y =19
-6x - 5 = y
3x + y =19
-6x -y=5
-3x=24
x=-8
y= -6x -5
y=48-5=43
can i have brainliest please
simplify 4(3x -2y) + 3 (4x - 3y)
Answer:
24x-17y
Step-by-step explanation:
12x-8y+12x-9y
please mark branliest
Answer:
24x−17y
Step-by-step explanation:
4(3x−2y)+3(4x−3y)
Distribute:
=(4)(3x)+(4)(−2y)+(3)(4x)+(3)(−3y)
=12x+−8y+12x+−9y
Combine Like Terms:
=12x+−8y+12x+−9y
=(12x+12x)+(−8y+−9y)
=24x+−17y
Answer:
=24x−17y
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
Evaluate x^2 when x is 1/2
Answer:
1/4
Step-by-step explanation:
substitute 1/2 for x
(1/2)^2
1/4
don't forget to write the parenthesis when putting an exponent to a fraction.
hope this helped!!!!!!!!
Maria bought five shirts and spent a total of $34.25. How much did one shirt cost if all of the shirts cost the same? *We know the price of 5, how do we find the price of 1? ( PLS HELP MEEEEEEE I HAVE MORE WORK TOO)
Answer:
Maria bought five shirts and spent a total of $34.25. How much did one shirt cost if all of the shirts cost the same? *We know the price of 5, how do we find the price of 1? ( PLS HELP MEEEEEEE I HAVE MORE WORK TOO
What the answer someone help me!!!
Step-by-step explanation:
the answer to your question is
16/9
Answer:
16/9
Step-by-step explanation:
remove the bracket
A cone-shaped water tank is completely filled. The tank has a depth of 12 feet and a radius of 29 feet. A pump removes water from the tank at a rate of 1000 cubic feet per hour.
What is the volume of water in the tank before the water is pumped out?
Use 3.14 to approximate π and express your final answer to the nearest hundredth.
How many hours will it take to drain all the water?
Answer:
Volume = 10562.96 cu ft
10.56 hr. to drain all the water
Step-by-step explanation:
V = 1/3Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
[tex]V = \frac{1}{3} (3.14) (29^{2})(12)[/tex] = 10562.96 cu ft
10562.96/1000 = 10.56 hr.
Round 8.7719% to the nearest tenth of a percent
Answer:
8.8%
Step-by-step explanation:
Answer:
8.8
Step-by-step explanation:
What is the surface area of this sphere in square centimeters? Pls help
WHAT IS THE ANSWER ASAP
Answer:
C
Step-by-step explanation:
process of elimination
Find the value of x, image attached below
Answer:
x = 10
Step-by-step explanation:
Sum of angles in a triangle is 180° , so
35° + (5x + 7)° + (9x - 2)° = 180°
The value of x can now be found by solving the linear equation.
5x + 9x + 35 + 7 - 2 = 180
14x + 40 = 180
14x = 180 - 40
14x = 140
x = 140/14
x = 10
standard form 2.975 x 10-7-
Solve please!!!!bbbbb
1:1
one blue to one yellow. IT IS THAT EZ
Write the name of each decimal place indicated
Answer:
3. A ten thousandths
4. C tenths
5. D hundredths
6. C. ten thousandths
The word autograph contains the root graph. What does the root graph mean?
1: Write or Draw
2: Shapes or Lines
3: Measure
4: Bend or Curve
Answer:
Write or draw.
Step-by-step explanation:
HELP
i’ll mark brainlist if correct
Answer:
41.90
Step-by-step explanation:
FORMULA 1/3×πr×r×h
What is the two fifths of the collection pilers, hammers, wrenches, saws.
Answer:
Pliers
Step-by-step explanation:
From the picture attached,
Number of pliers = 4
Number of hammers = 2
Number of wrenches = 2
Number of saws = 2
Total collection of tools = 4 + 2 + 2 + 2 = 10
Since, two fifth means,
[tex]\frac{2}{5}=\frac{2\times 2}{5\times 2}[/tex]
[tex]\frac{2}{5}=\frac{4}{10}[/tex]
That means tool with 4 counts out of total 10 tools will be the answer.
And the answer is pliers.
Fourteen pounds less than eight times the pounds of chocolate Jo got for her birthday is three more than four times the pounds of chocolate Jo got. How much chocolate did Jo get for her birthday?
Answer:
Total chocolates Jo bought for her birthday = 4.25 pounds
Step-by-step explanation:
Given - Fourteen pounds less than eight times the pounds of chocolate Jo got for her birthday is three more than four times the pounds of chocolate Jo got.
To find - How much chocolate did Jo get for her birthday?
Proof -
Let Jo bought total chocolates = x pounds
Then,
8x - 14 = 4x + 3
⇒8x - 4x = 3 + 14
⇒4x = 17
⇒x = [tex]\frac{17}{4}[/tex] = 4.25
∴ we get
Total chocolates Jo bought for her birthday = 4.25 pounds
Justification -
8(4.25) - 14 = 4(4.25) + 3
⇒34 - 14 = 17 + 3
⇒20 = 20
Satisfied.
The local Beep Boop store sells widgets and gizmos. If you subtract the cost of 3 gizmos from 7 widgets you would spend 28 Boop Bucks. Also, you would spend 16 Boop Bucks if you bought 4 widgets and 2 gizmos. Which of the two items, widgets or gizmos, does the Beep Boop store give away for free? How do you know? How much does the other item cost?
Answer:
$7
Step-by-step explanation:
Help please can y’all please answer 4-6 please
Answer:
4. the circumference = approx. 21.99
5. 30 feet
6. 150.8 feet
Step-by-step explanation:
4: 3.5*π*2= 21.99
5:. 1800÷60= 30
6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times
hope this helps <3
a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal.
Answer:
1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.
Step-by-step explanation:
add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.
can someone please help me i will mark brainliest