Rewrite the expression using a single, positive exponent: 9^3/9^9
Answer:
9⁻⁶
Step-by-step explanation:
When you're dividing, you subtract the exponents. So, 3-9=-6.
The expression 9³ / 9⁹ can be written as 9⁻⁶.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 9³ / 9⁹. The expression can be solved as below:-
E = 9³ / 9⁹
E = 9³ x 9⁻⁹
E = 9³⁻⁹
E = 9⁻⁶
Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.
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The phone company makes 2 defective phones for every 145 made. How many phones will be defective in a batch of 870 phones?
Answer: 12 defective phones
Steps: Divide 870 by 145.
870 ÷ 145 = 6
6 batches are in this amount. If 1 batch has 2 defective phones, then 6 batches have 12.
Therefore the amount is twelve.
Plz mark brainliest:)
What is the choice?
A:1,6
B:2,3
C:3,3
D:1,5
[tex] {x}^{2} - 5x + 6 = 0[/tex]
[tex](x - 3)(x - 2) = 0[/tex]
[tex]x - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 2 = 0[/tex]
[tex] \: \: \: \: \: \: \: x = 0 + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 0 + 2[/tex]
[tex] \: \: \: \: \: \: \: x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 2[/tex]
[tex] \green {\boxed{Answer \: B}}[/tex]#IfWrongPleaseReport
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Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Answer:
Step-by-step explanation:
Given the expression [tex](4z^8)^{-3}[/tex], to evaluate this, we will use one of the law of indices as shown;
[tex](a^m)^n = a^{mn}[/tex]
[tex]4^{-3} * z^{8*-3}[/tex]
[tex]= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}[/tex]
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?
Answer:
He scored 14 points per game.
84/6
Step-by-step explanation:
Good luck!
Answer:
14
Step-by-step explanation:
To find the unit rate for the question you have to divide 84 by 6
a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?
Answer:
A Clydesdale drinks 840 gallons of water in 28 days.
Step-by-step explanation:
120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.
Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?
Answer:
$4 per poundStep-by-step explanation:
given data
let the total charge be y
and let the number of pound be n
also let the charge per pound be p
we know that the expression for the total charges is given as
y=2+np
given that
y=$38
n=9
the expression the charges is now
38=2+9p
solving for p we have
38-2=9p
36=9p
p=36/9
p=4
therefore she is charged $4 per pound
Help pleaseeeee it’s dueeeeee
Answer:
The change is increased by 80%.
Step-by-step explanation:
Divide 36 by 45. This gives you 0.8. Divide 36 by 0.8 and multiply 45 by 0.8 to check your answer. So, it is increased by 80%. To find out how percents change, divide the first number by the second number. Then, take the decimal and move the decimal point over to the right two spaces, or multiply the entire number by 100.
Help? Find angle psw
(4x3y5z) (-6x5y4z) =
Answer:
-360y^9z^2
[tex]-360y^9z^2[/tex]
Step-by-step explanation:
Help me I need help fast it is due soon!
Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just [tex]bh[/tex], so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, [tex]16 \cdot 25 = \boxed{400}[/tex] square meters is our answer
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?
Write the equation to be used to solve this equation.
Answer:
i think 4 attires
Step-by-step explanation:
solve 3(x-4)=16+5x show work
Answer:
hi… I think it's written that way
which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
Answer:
Let x be that number.
[tex] - 8 \div (x + 3)[/tex]
The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.
4. Solve for :
a) ķx = 4
which list shows the numbers 2/3, 9/11 and 7/9 arranged from least to greatest
Answer:
2/3; 7/9; 9/11
Step-by-step explanation:
You have to divide them and you will get a decimal that is how you put them in numerical order
which is the choice to the inequality below?
-x/9>4
A. x<4
B:x<-36
C.x<-0.44
D. x>-36
Answer:
x < -36
Step-by-step explanation:
-x/9>4
Multiply each side by -9, remembering to flip the inequality
-x/9 * -9 < 4*-9
x < -36
simplify
12+ 1233-987
Answer:
258
Step-by-step explanation:
Answer:
258
Step-by-step explanation:
Follow the order of PEMDAS
Gianna is paid $90 for 5 hours of work.
a. At this rate, how much would Gianna make for 8 hours of work?
b. At this rate, how long would Gianna have to work to make $600?
Use a ratio table to solve.
Answer:
a. $144
b. about 34 hours
Step-by-step explanation:
If Gianna is paid $90 dollars for 5 hours of work, that means that she is paid $18 an hour. So, 18x33 is 594, which means that 18x34 is $612.
Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!
HELP ASAP
Solve the equation for k:
p= k/K + t
Answer:
k = p(K+t)
Step-by-step explanation:
p = k/K+t // × (K+t)
p(K+t) = k
Answer:
k = K p - K t
Step-by-step explanation:
Solve for k:
p = k/K + t
p = k/K + t is equivalent to k/K + t = p:
k/K + t = p
Subtract t from both sides:
k/K = -t + p
Multiply both sides by K:
Answer: k = K p - K t
Select ALL the statements that are true about 22/7.
A.It is a rational number.
B.It is an irrational number.
C.When written as a decimal, it repeats.
D.It is an approximate value of Pi.
E.It is a terminating decimal.
Answer:
It is an approximate value of pi
Can someone help me out on this?
Answer:
<NMP and <QPR
Step-by-step explanation:
Look up corresponding angle examples. these angles are corresponding.
Answer:
the first rectangle im pretty sure is 32
the second one is 12.8
Step-by-step explanation:
half of 8 is 4 and half of 25.6 is 12.8
1/8 divided by 2 3/4
Answer:
2 and 1/8
Step-by-step explanation:
Reduce fractions where possible.
Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.
[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.
The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].
Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.
[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]
[tex]= \frac{11}{4}[/tex]
Now, we can rewrite the expression as:
[tex]\frac{1}{8} \div \frac{11}{4}[/tex]
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{1}{8} \times \frac{4}{11}[/tex]
Next, let's simplify the multiplication:
[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]
We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:
[tex]\frac{4}{88} = \frac{1}{22}[/tex]
Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].
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Dom and Riley both want to find the change from the 6 AM temperature to the new 12 PM temperature. Dom says that you can use a number line and add the distances from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Riley says that you can subtract -1.4 from the 12 PM temperature. Is either Dom or Riley correct? Explain your reasoning and find the change in temperature.
Answer:
Neither Dom or Riley is correct
Step-by-step explanation:
The change in temperature between 12PM and 6AM can be obtained by subtracting the 12PM temperature from the 6AM temperature because temperature increases as the hours of the day go by.
To carry out this subtraction on the number line, the following steps should be taken;
(i) Mark the numbers corresponding to 6AM and 12PM temperatures on same number line.
(ii) From the number corresponding to the 12 PM temperature, find out how many steps that are needed to reach the position of the number corresponding to the 6AM temperature.
This number of steps represents the temperature change between the 12PM temperature and the 6 AM temperature.
Convert to a mixed number in simplest form 51/13
Answer:
[tex]3\frac{12}{13}[/tex]
Step-by-step explanation:
51 / 13 = 3.9231 = 3
51 - (13 x 3) = 12
[tex]3\frac{12}{13}[/tex]
Answer:
3 12/13
Step-by-step explanation:
51/13
13 goes into 51 3 times
13*3 =39
51-39 =12
The 12 goes over the denominator
3 12/13
PLS help with the question in the picture!
Answer:
e then m 4
Step-by-step explanation:
cause thats how it goes
Cassie has a rectangular window that is 40 Inches long and 25 inches wide. She wants to put a metal frame around the edges of her window. How many inches of metal frame will she need? Please help me
Answer:
she will need 130 inches lf metal
Step-by-step explanation:
One side lf the window is 40 and the other side lf the window is 25 ,so just multiply those by 2.That will give you 50 and 80 just add those together and you get 130
Solving each proportions 10/8=n/10
Answer:
n=12.5
Step-by-step explanation:
10/8=n/10
multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5