Answer:
b
Step-by-step explanation:
Number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.
Option D is correct.
What is PEDMAS rule?PEDMAS is an acronym for the words parenthesis, exponents, division, multiplication, addition, subtraction. The PEDMAS Rule is a set of rules that prioritize the order of calculations.
Given
([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex])
= [tex](4^{-1})[/tex] [tex](\frac{2^{3} }{4^{-2} })[/tex]
= [tex](4^{-1})[/tex][tex](\frac{2^{3} }{4^{-1}. 4^{-1}})[/tex]
= [tex](\frac{2^{3} }{4^{-1} })[/tex]
= [tex]2^{3} . 4^{1}[/tex]
= 8 × 4
= 32
Hence, number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.
Option D is correct.
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the sales tax rate is 5%, if Kayden buys the digital camera priced at $837.41 how much tax will he pay
round your answer to the nearest cent
Answer:
$41.87
Step-by-step explanation:
5% of 837.41 = 0.05 × 837.41 = 41.8705
Suppose two trains, say A and B are initially 125 miles apart on the same east-west track. Train A is initially to the west of train B. Train A begins to head due east at 25 mph, and train B begins to head due west at 20 mph. To the nearest minute, how long will it take for the two trains to collide?
Answer:
[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
Step-by-step explanation:
Distance between the two trains is 125 miles.
So, when they will collide they would have covered a distance of 125 miles together.
The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
[tex]25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]
Forest needs to repaint the right side of his house because sunlight and rain have caused the paint to peel. Each can of paint states that it will cover 150 square feet. Help forest decide how many cans of paint he should buy?
Answer:
Step-by-step explanation:
In order for Forest to decide how many cans of paint to buy he first needs to know how many square feet make up the wall that he wants to paint. He can calculate this by multiplying the length of the wall by the height of the wall. That will give him the square footage of the wall which can be represented as x in the following formula. Now that he has that, he needs to divide this value by 150 which is what each can of paint covers. The answer will be the number of cans that Forest should buy.
x / 150 = number of cans
The numbers of cans of paint he should buy can be calculated as follows :
x / 150.
where
x = Area of the wall needed to be painted in square feet.
Forest needs to paint the right side of his house because of sunlight and
rain.
According to his analysis each can of paint will cover an area of 150 ft².
This simply means for every 150 square feet of his wall, he will require 1
can of paint.
The number of paint he should buy can be determined as follows:
let
x = area of the right side of his wall needed to be painted
The number of can required = x / 150
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Find the value of x. Round your answer to the nearest tenth.
Answer:
63
Step-by-step explanation:
A zebra can run at a constant speed of 0.6 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question. d=(0.6)(0.5)
I think the options were omitted, so i will go ahead and solve. From my answer, you can choose the right option
Answer:Equation to solve the question
=Distance = Speed x time
=d= 0.6 x 30
Distance , d= 18 miles
Step-by-step explanation:
Step 1
Speed = distance / time
Therefore Distance = Speed x time
Given that speed = 0.6 miles per minute and
Time=30 minutes
Step 2
Distance ,d= 0.6 miles per minute x 30minutes
d= 0.6 x 30
= 18miles
Help I need to submit soon
Answer:
4
Step-by-step explanation:
I don't know if u want the explanation
Fill in the missing term on each line. Simplify any fractions.
مام
+ 4 = 6
b
=
Subtract 4 from both sides
b =
Multiply both sides by 3
help me please . i hope to find a solution :((
Answer:
277.778 m/s
Step-by-step explanation:
just divide by 3.6
Work out the value of 4^5
Answer: 2/15
Step-by-step explanation:
firstly divide lcm by denominator 1 = 15/5 = 3
then multiply by 3 nominator = 4*3 = 12
then divide lcm by denominator 2 = 15/3= 5
Multiply by 5 nominator = 5*2 = 10
lastly 12-10/15 ( both answer upon lcm)
2/15
me ayudan de nuervo porfavor
During a bake sale, 1, dozen cookies were sold in 1 hour. What is the unit rate for the dozens of cookies sold per hour?
Answer:
1 dozen per hour
Step-by-step explanation:
can i plz get brainliest!
So I need 20 words but I don’t get why so here’s this useless sentence
Answer:
peeeeeepppppssssss
Step-by-step explanation:
wussup
How are divisors and dividends related
Answer: The divisor is the thing you are dividing by. The divident is what are dividing.
Step-by-step explanation:
Please help!!!
There are 5,000 books in the town's library. Of these, 4,900 are fiction. To
find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Setup the percent equation. Choose the correct answer below.
A. 5,000 = m times 4,900
B. 5,000 = m divided by 4,900
C. 4,900 = m times5,000
D. 4,900 = m divided by5,000
(type whole number)
thank u so much!!
i will give brainliest to the correct answer!!
Answer:
C. 4,900 = m times 5,000
Step-by-step explanation:
Total books = 5,000
Fiction = 4,900
Calculations:
[tex]5,000. \frac{x}{100} =4,900[/tex]
[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]
[tex]\frac{x}{100} =0.98[/tex]
[tex]x=98[/tex]
Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%
Therefore, 4,900 is 98% of 5,000.
So 5,000 x 98% = 4,900
And the equation that matches that is C.
what is x? .........................
Answer:
The value of x is 7 cm.
Step-by-step explanation:
we can see that there are two triangles. smaller triangle and larger triangle.
The function f(x) = 4 x 3^x models the population of tadpoles in a frog pond after x years. Write a recursive formula to model the situation
Answer:
[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4*3^x[/tex]
Required
Write as a recursive function
Substitute 1 for x.
[tex]f(1) = 4*3^1 = 4 * 3 = 12[/tex]
[tex]f(2) = 4*3^2 = 4 * 9 = 36 = 12 * 3[/tex]
[tex]f(3) = 4*3^3 = 4 * 27 = 108 = 36 * 3[/tex]
Following the above pattern:
[tex]f(n) = T_{n-1} * 3[/tex]
[tex]f(n) = 3T_{n-1}[/tex]
Hence, the recursive function is:
[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]
Two groups of bikers leave the same camp heading in different directions. Each group travels 4 miles, then changes direction and travels 1.4 miles. Group A starts due east and then turns 48° toward north. Group B starts due west and then turns 32° toward south. Which group is farther from camp?
1. Group A is farther from camp.
2. Group B is farther from camp.
3. Group A and Group B are the same distance from camp.
4. Not enough information is given.
Group B is farther from camp.
Group B is farther from camp in comparative to other Group A.
What is Direction Sense?Direction sense ability is to find one's way around easily in a new place a good/poor sense of direction.
Here, Distance travel together = 4 miles.
After changing their direction distance covered by them = 1.4 miles.
Group A turns 48⁰ towards north
So, total distance covered by group A = 1.4 + 4 X sin 48⁰
= 1.4 + 4 X 0.7341
= 4.34 miles.
Group B turns 32⁰ towards south.
Similarly, distance covered by group B = 1.4 + 4 X cos 32⁰
= 1.4 + 4 X 0.8480
= 4.79 miles.
Thus, Group B is farther from camp in comparative to other Group A.
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A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12
Answer:
sin23=x/12
sin23(12)=x
0.391(12)=x
x=4.7 or 5
Simplify the following polynomial
(3y^2- 4y+1)(-y^2+y-2
Answer:
-3y^4+7y^3-11y^2+9y-2
at the volley ball game 2 out of 5 students that were attending were sixth graders , if 110 students attended the volleyball game , how many were sixth graders?
Answer:
Step-by-step explanation:
x/110=2/5
x=220/5
x=44
Answer:
44
Step-by-step explanation:
2÷5=.4
.4 sixth graders per 1 person
.4×110=44 sixth graders
A year membership to Fun Zone costs $45 plus $1 per visit. A one-month membership costs $5 plus $3 per visit. Which multi-step equation, with variable on both sides, represent this situation
Answer:
y = $45 + x
y = $5 + 3x
Step-by-step explanation:
The computation of the multi-step equations be shown below:
Let us assume the number of visits be x
So the first equation would be
y = $45 + x
And, the second equation would be
y = $5 + 3x
These are the multi-step equations with variable on the both sides
Which expressions are equivalent?
o šk-şi and şi +
o *-Žj and -3k+ şi
o 1/3 - 2/1 and 1 1 2 3 4
0 1 4 - 2 21 and 1 / 1 - 1 / 4
PLZZ HURRY
FOR 100points
Answer:
3 is equvalent...........
The expressions which are equivalent are; 1/3 - 2/1 and -1 2/3
Equivalent expressionsAccording to the question;
We are required to determine which expressions are equivalent.The equivalent expressions are; 1/3 - 2/1 and -1 2/3.
Upon evaluation; 1/3 - 2/1;
1/3 - 2/1 = 1 - 6/3 = -5/3-5/3 = -1 2/3Read more on equivalent expressions;
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ABCD is a rhombus. If angle A is 129 degrees and the perimeter of ABCD is 60, then find the length of each diagonal.
Answer:
I just took this I'm bouts to go on break.... will have the answer
Is this correct?? If not please correct me if you can. I highlighted my answers and added arrows to show my answers.
Answer:
yes it is right but you might want to make it neater
Step-by-step explanation:
:)
If a population of 100 caterpillars is growing at 0.5 per capita per year, how many caterpillars will there be after one year?
50 100 150 500
Answer:
150
Step-by-step explanation:
Answer:
I hope this helps.
Step-by-step explanation:
Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample.
All parallelograms are trapezoids.
Answer:
False
Step-by-step explanation:
An acute angle can be scalene
Eg - 2 angles of 20 degrees , and 1 angle of 50 degre
HOPE THIS WILL HELP YOU
Simplify (8+(-3))(-5 3/5) Help!
Answer:
28 i believe
Step-by-step explanation:
f(x)=-4x - 10 find x when f(x)=10
Answer:
-40
Step-by-step explanation:
f(10)=-4(10)
f(10)=-40
There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple. If you were to grab one popsicle from the bag, what is the probability that it is purple or yellow? Enter your answer in simplest form. P(purple or yellow)
Answer:
yellow is 16% and purple is 20%
Step-by-step explanation:
Does anyone know what 8th grade workbook are these pages from?
Answer:
i think its called general knowledge geometry and algebra. thats what i use and the question looks similar to what we do in there
Step-by-step explanation: