Answer $ 17 Step-by-step explanation:
5. Let's factorize the following numbers and express in exponential form
16
Answer:
2^4
Step-by-step explanation:
16 = 2x2x2x2 = 2 to the power of 4
Answer:
2^4
Step-by-step explanation:
Hope this helped have an amazing day!
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answer: 275$
I'm not entirely sure I did this right! But at least try!!!
Step-by-step explanation:
20/100 = 55/x (cross multiply)
20x = 5,500 (divide)
X = 275
The original price of the pair of jeans is $ 68.75
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The sale price of the jeans = $ 55.00
The discounted percentage of the pair of jeans = 20 %
Let the original price of the jeans be = A
To calculate the original price of the jeans ,
Original price of the jeans A will be discounted percentage less than and is equal to the sale price of the jeans
So ,
Original price of the jeans A - discounted percentage of the pair of jeans = Sale price of the jeans
And ,
A - ( 20/100 ) A = 55
( ( 100A - 20A ) / 100 )A = 55
(80/100 ) A = 55
( 4/5 ) A = 55
Multiply by 5/4 on both sides , we get
A = ( 55 x 5 ) / 4
A = 275/4
A = $ 68.75
Therefore , Original price of the jeans A = $ 68.75
Hence , the original price of the jeans is $ 68.75
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During a period of time a reservoir is drained for 2 hours per day 3 times per week. Each time 12 gallons per minute are drained. What integer represents the change in the number of gallons drained from the reservoir each week?
Answer:
The integer representing the change is -43,200 gallons
Step-by-step explanation:
Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week
Total number of hours per week would be 2 * 3 = 6 hours ;
6 hours is same as 6 * 60 = 3600 minutes
in a minute 12 gallons are drained
In 3600 minutes, the number of gallons drained would be;
3600 * 12 = 43,200 gallons are drained
Sara wants to find the input value that produces the same output for the functions represented by the tables.
A table headed with f(x) equals negative 0.5 x plus 2, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, f(x), has the entries 3.5, 3, 2.5, 2, 1.5, 1, 0.5. A table headed with g(x) equals 2 x minus 3, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, g(x), has no entries.
What is the input value that produces the same output value in both charts?
–2
–1
1
2
Answer:
2 is the value that provides the same result with f(x) and g(x).
Step-by-step explanation:
You can solve this by saying:
f(x) = g(x)
and then solving for x.
So let's do it:
[tex]f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x = 2 + 3\\2.5x = 5\\x = 2[/tex]
This tells us that when x = 2, the two functions will have identical values. Let's try them out to confirm it!
f(x) = -0.5x + 2
f(2) = -0.5 * 2 + 2
f(2) = -1 + 2
f(2) = 1
g(x) = 2x - 3
g(2) = 2 * 2 - 3
g(2) = 4 - 3
g(2) = 1
So we can see that 2 is the value that produces the same result in both charts.
The input value that produces the same output value in both charts is 2. so the correct answer is option D.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
here, we have,
You are given two functions f (x) = -0.5X +2 and g(x) = 2x - 3
x f(x)
-3 3.5
-2 3
-1 2.5
0 2
1 1.5
2 1
3 0.5
The second table is given below:-
x g(x)
-3
-2
-1
0
1
2
3
We will put the points and will find the value of functions:-
g(-3) = 2(-3) - 3 = -6 -3 = -9
g(-2) = 2 -(-2) -3 = -7
g(-1) = 2( -1) -3 = -3
g(0) = 2 - 0 - 3 = -3
g(1) = 2.1 - 3 = -1
g(2) = 2.2 -3 = 1
g(3) = 2.3 -3 = 3
Hence the second table will be
x g(x)
-3 -9
-2 -7
-1 -5
0 -3
1 -1
2 1
3 3
The input value that produces the same output value in both charts is 2.
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Divide by using synthetic division .
(5x²-4x+12) : (x+3)
Answer:
5x-19+[tex]\frac{69}{x+3}[/tex]
Step-by-step explanation:
anyone? If you know please comment!
Answer:
135
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
3³ · (12 - 2) ÷ 2
Step 2: Evaluate
Exponents: 27 · (12 - 2) ÷ 2Subtract: 27 · 10 ÷ 2Multiply: 270 ÷ 2Divide: 135what is 3^-3 * 10^-2 evaluated?
Step-by-step explanation:
3^(-3) * 10^(-2)
= 1/27 * 1/100
= 1/2700.
Answer:
1/2700
Step-by-step explanation:
3^-3=1/3^3
10^-2=1/10^2
1/3^3 x 1/10^2 = 1/2700 or .00037
Would the weight of a gold ring most likely be measured in ounces, tons, or pounds?
Answer:
ounces
Step-by-step explanation:
moat likely ounces because of the size of the ring
The correct answer from the choices listed above is the first option, ounces.
What is weight?Weight is the measure of the force of gravity acting on a body.
The weight of a gold ring most likely is expressed in ounces. The weight of gold is measured in troy ounces (1 troy ounce = 31.1034768 grams), but its purity, or "fineness" has been measured in a few different ways: "parts fine," "% gold", and carats.
Hence, the answer is ounces.
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Which expression is equivalent to 4 - (2m - 3)?
4 - 2m - 3
4- 2m + 3
-8m + 3
0-8m + 12
Answer:
4 - 2m + 3
Step-by-step explanation:
when you distribute the negative sign you will get this
Answer:
B on Edge
Step-by-step explanation:
pushing a car 15 m using a force of 500 N. How much work was done?
Answer:
Work = Force × distance = 500 × 15 = 7,500 J.
Hope this helps! Merry Christmas and Happy New Year!
Total work done by pushing the car for a distance of 15 m using a force of 500 N is 7500 Joule.
What is total work done?The total work done can be derived in terms of the products of force applied and the total distance covered.
Therefore,
Total work done = force × distance = 500 × 15 N-m = 7500 Joule
Hence, 7500 Joule work is done.
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Which best explains why you can use multiplication to solve equations involving division?
A. Multiplication is easier to do than division.
B. Multiplication involves the same facts as division.
C. Multiplication is the inverse operation of division so it can undo division.
D. Multiplication involves commutative Property so it can undo division.
Answer:
C
Step-by-step explanation:
Solve for f.
2f =
-38-22
4
Pls help doing a test?
Answer:
f=2
Step-by-step explanation:
hope this helps you
I wanna be in a gc someone add me to one
Sc-maddison_camp20
Ig- mads_070
Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket
hope it helps!!!!
please mark brainliest
Answer:
The price of adult ticket is £38.
Step-by-step explanation:
First, you have to form equations in terms of a (adult) and c (child) :
[tex]2a + 4c = 152 - - - (1)[/tex]
[tex]a = 2c - - - (2)[/tex]
Next, you have to solve these equations by substitution :
[tex](2)→(1)[/tex]
[tex]2(2c) + 4c = 152[/tex]
[tex]8c = 152[/tex]
[tex]c = 152 \div 8[/tex]
[tex]c = 19[/tex]
[tex]substitute \: c = 19 \: into \: (2)[/tex]
[tex]a = 2 \times 19[/tex]
[tex]a = 38[/tex]
2) What is the equation of the line parallel to y=2x-2 passing through the
point (1,3)
y=2x-3
Oy=2x+1
Oy=-1/2x-2
Oy=1/2 x-2
Answer:
I believe the answer is c hope this helps
In AABC, BC = 6, CA = 14, and AB = 19. Which statement about the angles of AABC must be true?
Answer:
ca=14
Step-by-step explanation:
Find the values of x in [0, 360°) which satisfy the
equation below.
2 cota x = -3 SC X
Given :
An equation 2cot x = -3sec x .
To Find :
the values of x in [0, 360°) which satisfy the given equation.
Solution :
Converting cot x and sec x in the form of sin x and cos x.
[tex]\dfrac{2cos \ x}{sin\ x}= \dfrac{-3}{cosx}\\\\2cos^2 x +3 sin\ x =0\\\\2( 1 - sin^2 x ) + 3sin \ x = 0 \\\\2sin^2 x -3sin\ x -2 = 0\\\\2sin^2\x -4sin\ x + sin\ x -2 = 0\\\\2sin\ x( sin\ x - 2 )+ 1( sin \ x - 2 ) = 0\\\\sin \ x = \dfrac{-1}{2} \ or\ sin \ x = 2[/tex]
Neglecting sin x = 2 because sin x cannot be greater than 1.
x = π - π/6, π + π/6
x = 5π/6 and x = 7π /6
Therefore, the values of x in [0,360°) is 5π/6 and x = 7π /6 .
The Ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chair?There are 330 walnuts in 6 bags. If each bag has the same number of walnuts, how many walnuts are in 2 bags? Which is a unit rate? A 47¢ for 2 pens B 20 gallons for 2 hours C 15 hours for 3 months D 18 miles driven in a week
Step-by-step explanation:
Quesion 1
The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs
hence, cost per chair= 150/50= $3 per chair
Question 2
let us find the number of walnuts per bag
= 330/6
=55 walnuts per bag
hence in two bags there will be 55*2= 110 walnuts
Question 3
Option D is an example of a unit rate.
The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week
A number divided by –4 is –13.
Answer:
52Step-by-step explanation:
52/-4 = -13
khdsylye
Answer:
I got 52!
Step-by-step explanation:
I searched it up to confirm it! C:
I'm confused, can somebody help?
BRAINLIEST!!!!!!
!!!!!!!
Answer:
3x/4 - 17
Step-by-step explanation:
I only need the answer to the question. Thank you!
Answer:
10
Step-by-step explanation:
refer attachment for detailed answer
PLEASE help me with this <3
Answer:500 miles
Step-by-step explanation:
Complete the statements.
Graph__ has one real root.
Graph__ has a negative discriminant.
Graph __ has an equation with coefficients.
A=1 B=4 C=-2
Answer:
1. B
2. A
3.C
Step-by-step explanation:
The two shapes are similar. Solve for x. Show all work.
Answer:
X= 24
Step-by-step explanation:
Answer:
x = 25Step-by-step explanation:
The two shapes are similar
As per similarity, the corresponding sides have same ratio. Knowing the ratio we can find the value of the side x:
10/4 = 15/6 = 30/12 = x/102.5 = x/10x = 2.5*10x = 25In 1867, the United States purchased Alaska from Russia. Alaska is about 5.9 × 105 square miles. The United States paid about $12.20 per square mile. Approximately how much did the United States pay Russia for Alaska? Complete the steps to answer the question. 1. Write the expression: (5.9 × 105)(12.2) 2. Multiply the decimal values: × 105 3. Write in scientific notation: × The United States paid Russia approximately for Alaska.
Answer:
$7.198 * 10^6
Step-by-step explanation:
Given that :
Total Area of Alaska = 5.9 * 10^5 mi²
Cost of Alaska per square mile = $12.20
Total amount paid to purchase Alaska:
(Total area in square miles * Cost per square mile)
(5.9 × 10^5) * $12.20
(5.9*12.20) * 10^5
71.98 * 10^5 dollars
= $7.198 * 10^6
Hence, amount the United States paid Russia for the purchase of Alaska is approximately $7.198 * 10^6
Answer:
1. Write the expression: (5.9 × 105)(12.2)
2. Multiply the decimal values:
✔ 71.98
× 105
3. Write in scientific notation:
✔ 7.198
×
✔ 10 to the sixth power
The United States paid Russia approximately
✔ $7,200,000
for Alaska.
Step-by-step explanation:
Compute the sales commission:
Amount $4,500.00
Rate 5%
900 hope this helped
-2(x - 5) < 8 what is x
Answer:
The answer is X > 1 hope that helps!
Step-by-step explanation:
What is the area of half of a circle with a diameter of 3.5cm, round to the nearest hundredth, if
necessary?
a. 38.47 cm2
b. 19.23 cm2
c. 9.62 cm2
d. 4.81 cm2
Answer:
I think it is A (38.47)
Step-by-step explanation:
I believe this because I had a math qouiston like this and when I found this A was the only comen answer and when I clicked on my 38.47 I was right
Robert started to save money to purchase a new game console. His savings at the end of the first week included a jar of 368 nickels and dimes. The total value of the coins was $24.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
a. n+ d = 368
5n + 10d = 24.40
b. n+ d = 24.40
0.05n + 0.10d = 368
c. n + d = 368
0.05n + 0.10d = 24.40
d. n + 9 = 368
0.5n + 0.10d = 24.40
Answer:
0.05n + 0.10 d =24.40
Step-by-step explanation:
Nickel is worth 0.05 of a dollar(1)
The system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week is:
n + d = 368
0.05n + 0.10d = 24.40
The number of nickels and dimes Anthony saved at the end of the first week can be determined using two equations. This is known as simultaneous equations.
The total number of nickels and dimes in the jar is 368. This can be represented with the equation:
nickels + dimes = 368
n + d = 368. This would be the first equation.
A nickel is equal to 0.05 of a dollar and a dime is equal to 0.1 of a dollar. The total sum of money in the jar is $24.40. This means that the value of dimes and nickels in the jar is $24.40. This can be represented with the equation: 0.05n + 0.10d = 24.40. This is the second equation.
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