Answer:
a=0.8
Step-by-step explanation:
First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.
Hope this helps you :)
3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?
Answer:
$56.70
$132.30
$17.199
$149.499
No
Step-by-step explanation:
Given that:
Regular price of skis = $189
Discount % = 30%
Amount saved = $140
After sales tax = 13%
a. What is the discount?
Discount amount = Regular price * discount %
Discount amount = $189 * 0.30
Discount amount = $56.70
b. What is the new price?
Regular price - Discount amount
$189 - $56.70
= $132.30
c. What is the tax?
Sales tax = new price * tax %
Sales tax = $132.30 * 0.13
Sales tax = $17.199
d. What was the total price of the shoes, after the discount and tax?
New price + sales tax
= $132.30 + $17.199
= $149.499
e. Do you have enough money?
No
$149.499 > $140
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (negative 20) + 8
Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answer:
A I got it right on edge.
Step-by-step explanation:
Choose the value of x for f(x)= x^2-3x when f(x) = 10.
Answer:
f(10)=70
Step-by-step explanation:
[tex]f(x)=x^{2} -3x\\f(10)=10^{2} -3(10)\\f(10)=100-30=70[/tex]
how do you solve for x when you have this problem below please explain !!
Answer:
The value of x is 16
Step-by-step explanation:
We can clearly see in the diagram that a transversal is intersecting two parallel lines.
When a transversal intersects two parallel lines, eight angles are formed.
The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.
Corresponding angles are congruent.
So,
Angle 6x+4° and 100° will be congruent or equal
[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]
Hence,
The value of x is 16
Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.
Answer:
4
Step-by-step explanation:
30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4
cual es la respuesta de 1000+25
Answer:
1025
Step-by-step explanation:
1 0 0 0
+ 2 5
---------------
1 0 2 5
----------------
HOPE THIS HELPS
PLZ MARK AS BRAINLIEST!!!!!!
help pls thank you!!
Answer:
C 2+2/3
Step-by-step explanation:
10/2.5= 4
2/3*4= 2+2/3
PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!
solve :
2(3x + 6) = 18
Answer:
2(3x+6)=18
6x+12=18
6x+12-12+18-12
6x=6
6x/6=6/6
x=1
Step-by-step explanation:
The graph shows the number of each kind of book in Hero's personal library. A book is
chosen randomly.
What is the probability that the book is a romance book?
Answer:
[tex]\displaystyle p=\frac{1}{15}[/tex]
Step-by-step explanation:
Probability
The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.
The pie chart shows the number of books in Hero's library grouped by category.
The total number of books is 14 + 10 + 4 + 2 = 30
The number of romance books is 2
Thus, the probability of randomly choosing a romance book out of the total books is:
[tex]\displaystyle p=\frac{2}{30}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle p=\frac{1}{15}}[/tex]
This corresponds to the first option
Answer:
1/15
or
[tex]\frac{1}{15}[/tex]
explanation:
(Solve by Graphing)
3x - 2y = 4
x + y = -7
Systems of equations solved by graphing please!
Answer:(2,-9)
Step-by-step explanation:
PLEASE I NEED HELP URGENT I WILL MARK, SOLVE AND EXPLAIN THE ANSWER
Which represents the solution up above ^^^^^^^^^^
Answer:
-2x <= x < 3
Step-by-step explanation:
Subtract 4 from all sections to isolate the x and then divide everything by 3 to make there be only 1 x
Use the equation p= 8.31/v where p = pressure and V = volume.
What happens to the pressure as the volume approaches 0? Explain your reasoning.
Answer: pressure increases
Step-by-step explanation:
because Boyle's law states that pressure and volume have an inverse relationship, if we decrease volume the pressure will increase.
Another explanation: since volume approaches 0, we're dividing by a smaller number, and doing this gives us a larger value for pressure
Answer:
The pressure approaches infinity.
The function is undefined for V = 0.
There is an asymptote at V = 0.
Step-by-step explanation:
Exact answers for edge
What are the equations of the asymptotes of the hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
Answer:
hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
A movie theatre marks up the price of popcorn 12 3/4 times the original cost. express 12 3/4 as a percent and decimal.
Answer:
Answer: F. 1,275% and 12.75.
Step-by-step explanation:
Ratios
Ratios are usually expressed as decimals, fractions, colon notation, and percentages.
For example, if the ratio of two quantities is 2, it can be expressed as:
2, 2/1, 2:1, 200%
To obtain the percentage expression, just multiply by 100%.
The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.
The mixed fraction can be converted to a decimal by just adding their parts as follows:
12 + 3/4 = 12.75
Now to express it as a percentage, multiply by 100%:
12.75 * 100% = 1,275%
Answer: F. 1,275% and 12.75.
Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?
Answer:
yes, and at 600 hours they are equal and at 601 Frank passes her.
Step-by-step explanation:
since frank has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.
First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.
Answer:
They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo
8n=7.50n+300
Sub in n for 600 and it should cancel everything out and work :)
if you want me to re-explain let me know.
A pile of 100 $5coins is 150 mm high. One coin is______mm thick
Answer:
1.5mm
Step-by-step explanation:
100x = 150. x = height is one $5 coin
x = 150/100
x = 1.5
A population of values has a normal distribution with μ = 245.3 and σ = 96 . You intend to draw a random sample of size n = 50 . Find the probability that a single randomly selected value is greater than 246.7. P(X > 246.7) = 0.0146 Incorrect Find the probability that a sample of size n = 50 is randomly selected with a mean greater than 246.7. P(M > 246.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
0.4589
Step-by-step explanation:
We solve using z score formula
The z score formula for a random number of samples is:
z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation
Hence:
z = 246.7 - 245.3/96/√50
z = 0.10312
Probability value from Z-Table:
P(x<246.7) = 0.54107
P(x>246.7) = 1 - P(x<246.7) = 0.45893
Approximately to 4 decimal places = 0.4589
The probability that a single randomly selected value is greater than 246.7 is 0.4589
In 2009, a poll found that 47% of people favored the protection of the environment at the risk of limiting energy supplies, while 47% favored the development of energy supplies even if that risked harming the environment. Another 4% felt that energy and the environment were equally important. what's the probability a person had "No Opinion"? NEED HELP ASAP!
Answer:
It will be 84
Step-by-step explanation:
WHAT IS THE SLOPE? !! WILL GIVE BRAINLIEST
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
Answer:
Step-by-step explanation:
2/3 is your slope.
PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
Answer are at the bottom!
Step-by-step explanation:
First equation: y=5x
Second equation: y=5.5x
Unit rate:
x/5.5
5.5/5.5
x/1
Hope this helps!
A piece of string has been used to measure the circumference of a circle. Use a ruler to measure the diameter of the circle and the length of the string to the nearest 1/4 inch
Answer:
The circumference is expressed usingC=2πrStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circle.
The length of the string corresponds to the circumference of the circle.
The lenght of the string can be calculated by using the expression for circumference, if after using the ruler to obtain the diameter "d"
upon measuring the diameter we can further obtain the radius "r"
The expression for the radius is r=d/2 (the radius is half the diameter)
C=2πr
where pi= 3.124 a constant term
Hence Circumference is the same as the length of the string
g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).
1
2
f(x) has been
translated to the left
one and down five.
f(x) has been
translated to the
right one and down
five.
f(x) has been
translated to the
right one and up five.
f(x) has been
translated to the left
one and up five.
Answer:
f(x) has been translated to the right one and down five.
Step-by-step explanation:
Given
[tex]g(x)=f(x-1)-5[/tex]
Required
Determine the transformation
Taking the analysis one at a time
The relationship between f(x) and f(x - h) is that f(x) is translated h units to the right
So, when f(x) becomes f(x-1), it is as a result of f(x) being translated 1 unit to the right
The relationship between f(x) and f(x) - h is that f(x) is translated h units downwards
So, when f(x - 1) becomes f(x - 1) - 5, it is as a result of f(x - 1) being translated 5 units downwards.
Hence, option 2 answers the question
Plsss need help jahahahahababahhaha
Answer:
ummm try to solve it
Step-by-step explanation:
Any help is needed!! ❤️ only if you know ofc!
Answer:
b=74degrees
Step-by-step explanation:
First find angle a
180-112-33=35
use angle a to find b
180-35-71=74
find the gif of the terms of the polynomial. 52x^8 + 12x^3
Answer:
The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.
Step-by-step explanation:
Solve the division problem below.
The quotient is
Answer:
25/8
Step-by-step explanation:
Answer:
It's -6
Step-by-step explanation:
i got it right lol
True or False??
.............................
Answer:
That is true.
Step-by-step explanation:
Look at this example:
3/1 = 1/3 This example applies to most fractions.
Does anyone know this?
Answer:
B
Step-by-step explanation:
Given
g(x) = 2x² - 6x - 56 ← factor out 2 from each term
= 2(x² - 3x - 28) ← factor the quadratic
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are + 4 and - 7, since
4 × - 7 = - 28 and 4 - 7 = - 3 , thus
x² - 3x - 28 = (x + 4)(x - 7) , then
g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B