Answer:
x=1
Step-by-step explanation:
Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.
The equation that represents this situation is 8 + 3t = 25.50.
How to calculate the value?Let the sales tax for each book be represented as t.
Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:
Cost of book + Tax = Total amount
8 + (3 × t) = 25.50
8 + 3t = 25.50
Collect like terms
3t = 25.50 - 8.
3t = 17.50
Divide
t = 17.50 / 3
t = 5.83
The sales tax is $5.83.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
how does the graph of y=Vx+2 compare to the graph of the parent square root function
Option c since the equation shifts 2 units vertically up compared to parent square root function
Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101
PLZ ANSWER QUICK will mark branilyist.
Answer:
I think the answer would be b
I don’t know what way the line goes
Answer:
line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope
There are four consecutive integers that add up to 22 what is the greatest integer
Answer:
7
Step-by-step explanation:
We can use the equation:
x + (x + 1) + (x + 2) + (x + 3) = 22
Combine like terms
4x + 6 = 22
Subtract 6 from both sides
4x = 16
Isolate x
x = 4
Plug in x
4 + (4 + 1) + (4 + 2) + (4 + 3) = 22
Solve
4 + 5 + 6 + 7 = 22
7 is the greatest integer
3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
Answer:
6.4
Step-by-step explanation:
5+7+7+5+7+7+6+7+7 = 58
There are 9 numbers
58 ÷ 9 = 6.444444
To the tenth = 6.4
A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?
Answer:
50
Step-by-step explanation:
on edge
Which could be the lengths of three sides of a triangle?
a. 10 ft, 10 ft, 21 ft
b. 19 ft, 11 ft, 3 ft
c. 18 ft, 8 ft, 10 ft
d. 12 ft, 25 ft, 35 ft
e. 4 ft, 4 ft, 8.4 ft
Answer:
I believe it is d
Step-by-step explanation:
it is the only option where every combination of two sides is larger than the third
Answer:
d
Step-by-step explanation:
if you add up 2 sides it is larger than the third, which is what we are looking for :))
how to simplify 3x - 20
Answer:
-60
Step-by-step explanation:
you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number
Complete the description of the piecewise function graphed below.
Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
help me pleaseeeeee!!!!!!
Answer:
A' (1, -1) B' (4, -5) C' (6, -2)
Step-by-step explanation:
Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).
A (1, 1) --> A' (1, -1) So (x,y) becomes (x,-y)
Hope this helps!
Writing quadratic functions
Answer:
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...
Please help I do not understand what to do or what the answer is
Answer:
Step-by-step explanation:
[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]
(1 , -3) & ( 1 , 0)
The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.
Slope is undefined.
3) (0,2) , (4 , 0)
[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Identify the mistake in the solution below and explain how
to correct it. Determine the correct answer.
Algebra
3x - 5+ 3x = x + 8-x-1
6x – 5 = 2x + 7
4x - 5 = 7
4x = 12
x = 3
Steps
original problem
combine like terms
subtract 2x from both sides
add 5 to both sides
divide both sides by 4
-
Answer:
Mistake is on second line.
x = 2
Step-by-step explanation:
The first two lines are (I added the boldface):
3x - 5 + 3x = x + 8 - x - 1
6x – 5 = 2x + 7
The first line has x and -x. They add to 0.
The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.
The second line should be:
6x - 5 = 7
Add 5 to both sides.
6x = 12
Divide both sides by 6.
x = 2
plz help will mark as brainliest
Answer:
45⁰
according to question the answers is given here in the image / attachment . please follow these steps.
this is my attachment answer hope it's helpful to you
A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?
Answer:
15
Step-by-step explanation:
The conditions for triangle side lengths are:
A + B > C
A + C > B
B + C > A
The reverse is true too, of course:
A < B + C
B < A + C
C < A + B
Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )
With those in mind, if 15 and 1 are A and B:
15 + 1 > C
15 + C > 1
1 + C > 15
And those can be simplified to these:
C < 16
C > -14 ( can be ignored because of the next one)
C > 14
And finally:
14 < C < 16
The largest whole number that fits those requirements is 15.
How do you write 7,700,000 in scientific notation?
Answer:
7.7 × [tex]10^{6}[/tex]
Step-by-step explanation:
Start off with finding the digits in this case it would be 7,700,000
Now insert a decimal so that it is a number under 10.
That would be 7.7
to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.
It would take 6 "jumps" to end up back to 7,700,000
Now that we have that information we can make the scientific notation
1) Take the number (7.7)
2) Multiply the number by 10 with the exponent of "jumps"
Thus,
7.7 × [tex]10^{6}[/tex]
c) Now let’s do another “what if”. What if the normal cost of an office visit to your regular doctor is $80, without insurance? With AAA+ and Health Today you would pay only $25 for the office visit, as it is not part of the deductible. With Best Insurance, if you have not met the deductible yet, you would pay the whole cost of $80. You may have a lot of office visits before you pay the deductible on this insurance. Let’s assume that you have met the deductible and see what the office visit would cost. You will pay 20% of it.
• AAA+
Office Visit = $25
• Health Today
Office Visit = $25
• Best Insurance
Office Visit = 20% of 80 =
Answer:
$16
Step-by-step explanation:
Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
PLEEEAASSEEE HELP
Find the constant of proportionality and write an equation for the following proportional relationship.
You can buy 14 apples for $28.
Use a to represent number of apples and c to represent the cost
Answers:
constant of proportionality: 2equation is: c = 2a==================================================
Explanation:
a = number of apples purchased
c = cost in dollars
The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).
To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.
We'll update the equation from c = ka to c = 2a
Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.
Answer:
c=2a
Step-by-step explanation:
c=2a
Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?
Answer:
17 hour
Step-by-step explanation:
8+9=17
Given that 6x – 7y=4
Find x when y = 2
Answer:
x = 3
Step-by-step explanation:
6x - 7y = 4
We are given that y = 2
6x - 7(2) = 4
6x - 14 = 4
Add 14 on both sides to leave the 6x alone
6x = 18
Divide by 6 to isolate x and find the value of x
x = 3
We can further prove this by putting in the value of x
6(3) - 7(2) = 4
18 - 14 = 4
Which is correct
Answer:
3
Step-by-step explanation:
At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?
Answer:B
Step-by-step explanation:
Alvin is 14 years younger than elga. The sum of their age is 78.
Answer: 46
plz help I need answer asap!
Answer:
x=2.4
Step-by-step explanation:
for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4
Answer:
x=2.4
Step-by-step explanation:
This is simple! If you know how to find scale factor then then problem is a breeze.
Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3
Now to find that missing side= x
4 / 1.66666666667= 2.4
x=2.4
( pssstt! This “/“ means division ;-)
hope this helped :D
Which ordered pair represents a solution to both equations?
Answer:
-3,-1
its obvious because all you're doing is plting points
A
Plz help!!!!!! !!!!!!!!!!!
Answer:
R is at the ordered pair (4, -2)
Step-by-step explanation:
Chelsea borrowed P10,00 for 18 months at a rate of 10%.How much is the total amount due?
Answer:
11,536.89733 (rounded to 11,536.90)
Step-by-step explanation:
10,000(1+0.1)^1.5
P(1+r)^t
P=Principal
r=rate
t=time(in years)
need help plssss!!!!
should I call 911 !!!!!!!!!!!!!!
Please help me . Thank you
Answer: 36
Step-by-step explanation:
K(x) = 2x^2 - 5x + 3
K(-3) = 2(-3)^2 - 5(-3) + 3
K(-3) = 2*9 + 15 + 3
K(-3) = 18+15+3
K(-3) = 36