Answer: 14
Step-by-step explanation:
RT= x- 1 = 15 - 1 = 14
Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps
Answer:
the sales tax percent is therefore: 7.75%
Step-by-step explanation:
The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.
Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:
69.75 = x * 899.99
solving for x we get:
x = 69.75 / 899.99
x = 0.0775
this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:
the sales tax percent is therefore: 7.75%
URGENT HELP ME PLEASE
1) Develop the LOGARITHM PROPERTIES AND SOLVE THE EQUATIONS:
a-) log3 (81.3) =
b-) log5 (625.25) =
c-) log2 64/8 =
d-) log464/16 =
e-) log6 (364) =
f-) log (1003) =
Answer:
(a)[tex]\log_3(\dfrac{81}{3})=3[/tex]
(b)[tex]\log_5(\dfrac{625}{25})=2[/tex]
(c)[tex]\log_2(\dfrac{64}{8})=3[/tex]
(d)[tex]\log_4(\dfrac{64}{16})=1[/tex]
(e)[tex]\log_6(36^4)=8[/tex]
(f)[tex]\log(100^3)=6[/tex]
Step-by-step explanation:
Let as consider the given equations are [tex]\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?[/tex].
(a)
[tex]\log_3(\dfrac{81}{3})=\log_3(27)[/tex]
[tex]\log_3(\dfrac{81}{3})=\log_3(3^3)[/tex]
[tex]\log_3(\dfrac{81}{3})=3[/tex] [tex][\because \log_aa^x=x][/tex]
(b)
[tex]\log_5(\dfrac{625}{25})=\log_5(25)[/tex]
[tex]\log_5(\dfrac{625}{25})=\log_5(5^2)[/tex]
[tex]\log_5(\dfrac{625}{25})=2[/tex] [tex][\because \log_aa^x=x][/tex]
(c)
[tex]\log_2(\dfrac{64}{8})=\log_2(8)[/tex]
[tex]\log_2(\dfrac{64}{8})=\log_2(2^3)[/tex]
[tex]\log_2(\dfrac{64}{8})=3[/tex] [tex][\because \log_aa^x=x][/tex]
(d)
[tex]\log_4(\dfrac{64}{16})=\log_4(4)[/tex]
[tex]\log_4(\dfrac{64}{16})=1[/tex] [tex][\because \log_aa^x=x][/tex]
(e)
[tex]\log_6(36^4)=\log_6((6^2)^4)[/tex]
[tex]\log_6(36^4)=\log_6(6^8)[/tex]
[tex]\log_6(36^4)=8[/tex] [tex][\because \log_aa^x=x][/tex]
(f)
[tex]\log(100^3)=\log((10^2)^3)[/tex]
[tex]\log(100^3)=\log(10^6)[/tex]
[tex]\log(100^3)=6[/tex] [tex][\because \log10^x=x][/tex]
What point does this line pass through?
y-2=4/5(x-3)
Answer:
(5,2)
Step-by-step explanation:
The second of two numbers is five more than twice the first. There sum is 80 . Find the numbers.
The first number = x
The second number = 5 + 2x
80 = x + 5 + 2x
Let's combine like terms.
80 = 3x + 5
Subtract 5 from both sides.
75 = 3x
Divide both sides by 3
25 = x
The first number = 25
Let's plug 25 into x for our second number's equation.
The second number = 5 + 2(25) = 55
Answer:
x = first number
y = second number
1. y = 2x +5
2. x = x
3. x + 2x + 5 = 80
4. 3x +5 = 80
5. 3x = 75
x = 25
sub back in to steps 1 and 2:
x = 25
y = 2(25) + 5
y = 55
the first number is 25, and the second number is 55.
CHECK:
80 - 25 = 55
Step-by-step explanation:
1. define your variables
2. use the question to find what each number equals
3. set them equal to 80
4. combine like terms, divide, etc. (SOLVE)
5. sub back into defined variables.
6. check it by subtracting and adding
Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found. Find the slope and y-intercept of the line.
Answer:
m=-63 b=825
Step-by-step explanation:
To get m, make sure you use rise over run. y2-y1 over x2-x1
Answer:
m (slope) = -63
b (y-intercept) = 825
Step-by-step explanation:
I had the same question.
Which statements are true about polygons? Select three options. All sides and all angles in a polygon are congruent. The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint. In a polygon, all segments with a common endpoint are collinear. If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon. The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
Answer:
B, D, E
Step-by-step explanation:
Just took test :D
A polygon refers to a flat or two-dimensional shape which is closed and has straight sides. A polygon doesn't curved sides.
From the options given, the true statements about polygons include:
• The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.
• If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
• The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
Therefore, the correct options are B, D and E.
You can read more on polygon here:
https://brainly.com/question/20863477
7. A sixth-grade class has 12 boys and 8 girls.
The teacher wants to divide them into
groups that have the same number of boys
and the same number of girls. What is the
greatest possible number of groups the
teacher can make?
A. 4 groups
C. 6 groups
D. 2 groups
B. 8 groups
please help me with math
Hey there! I'm happy to help!
A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.
Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.
Have a wonderful day! :D
Answer:
4)
Step-by-step explanation:
3)
this relationship isn't a proprtional relationship since it does't pass through (0,0)
')
this relationship is a proportional relation since it is a straight line that passes through (0,0)
Simplify 7x + x +2 help plssss I’m begging u rawrrr
Answer:
8x+2
Step-by-step explanation:
Answer:
[tex] \huge{ \fbox{ \sf{8x + 2}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]
[tex] \star{ \: \sf{ \: 7x + x + 2}}[/tex]
[tex] \text{ Step \: 1} : \sf{ \: Add \: the \: like \: terms : 7x \: and \: x}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \hookrightarrow{ \sf{8x + 2}}[/tex]
Hope I helped!
Best regards!:D
~[tex] \sf{TheAnimeGirl}[/tex]
Find the values of x and y. 4y 112° 7x +7°
If m = 7x + 7, m = 4y, and m = 112
since m = 112
112 = 7x + 7
112 - 7 = 7x
105= 7x
x = 15
112 = 4y
y = 28
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3 + 36
Given that:
Total cost for three CD = $36
Number of CD = 3
To find:
The expression that will represent the cost of one CD.
Solution:
We know that formula, to find the cost of each unit.
[tex]\text{Cost of each unit }=\dfrac{\text{Total cost}}{\text{Number of units}}[/tex]
Using this formula, we get
[tex]\text{Cost of each CD}=\dfrac{\text{Total cost for three CD}}{\text{Number of CDs}}[/tex]
[tex]\text{Cost of each CD}=\dfrac{36}{3}[/tex]
The required expression for cost of one CD is [tex]\dfrac{36}{3}[/tex].
Therefore, the correct option is C.
Answer
its 36/3
Step-by-step explanation:
Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?
Answer:
25 quarters50 nickelsStep-by-step explanation:
Since there are 2 nickels for every quarter, we can group the coins into groups consisting of 1 quarter and 2 nickels. Such a group will be worth 35 cents. So, the number of groups in $8.75 is ...
$8.75/$0.35 = 25
25 groups of coins will have ...
25 quarters
50 nickels
It is worth 50 points so please help
Answer:
12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.
you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.
Step-by-step explanation:
Answer:
12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.
you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.
Step-by-step explanation:
What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...
Answer:
267
Step-by-step explanation:
let's say that
f(0)=-25
so in the sequence we are adding 4
so f(1)=-25+4=-21
and f(2)=f(1)+4=-25+4+4=-25 + 4(2)
so if you continue you will notice that
f(n)=-25+4(n)
so our question is
What is the 74th term of this arithmetic sequence?
so if f(0) is our first term, the 74th will be f(73)
so we can apply our formula
f(73)=-25+4(73)
=-25+292
=267
6/9 is a rational number. Select all the rational numbers that are equivalent to 6/9
Answer:
There will be lots
Step-by-step explanation:
It is actually infinite.
evaluate -12 + 5= PLEASE HELP IF YOU KNOW THE ANSWER PLEASE SHOW WORK!? THANK YOU!
Answer:
-7
Step-by-step explanation:
Answer:
-12+5=-7
this is similar to having a debt of $12 when you pay $5 when you pay $5 you are left with a debt of $7 so the answer is -7
in basenall, the strike zone is region a baseball needs to pass through for the umpire to declare it a strike when the batter does not swing. the top of the strike zone is horizontal plane shoulders and the top of the uniform pants when the player in a batting stance. Find the height of T
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]T = 51 \ inches [/tex]
Step-by-step explanation:
From the diagram we can obtain the the height of T as follows
[tex]T = \frac{60 + 42 }{2}[/tex]
Answer:
51 inches
Step-by-step explanation:
By definition of midpoint, 42 through T + T through 60 is congruent to each other.
So, we can add 42+60 together to get the total distance. This is 102.
Next, we divide 102 by 2 because as mentioned since T is the midpoint, each "segment" is exactly 2 halves, they are congruent to each other.
102/2= 51 inches.
hope that helped :)
Find the standard equation of the line parallel to 2x – 4y + 3 = 0, which passes through (-1, 4).
Answer:
Step-by-step explanation:
-4y = -2x - 3
y = 1/2x + 3/4
y - 4 = 1/2(x + 1)
y - 4/2 = 1/2x + 1/2
y = 1/2x + 5/2
How do you do this question?
Answer:
p > 0
Step-by-step explanation:
∫₂°° e^(-px) dx
= ∫₂°° (e⁻ᵖ)ˣ dx
This is a geometric series.
A geometric series a(r)ˣ converges if -1 < r < 1.
-1 < e⁻ᵖ < 1
Since e⁻ᵖ is always positive:
e⁻ᵖ < 1
-p < 0
p > 0
Let A be the set of all integers which are 3 more than some perfect square. Here are some examples of such integers are: 4 = 1 + 3, 7 = 4 + 3, 3 = 0 + 3, 28 = 25 + 3, Write out the set A as succinctly as you can, using the set-builder notation.
Answer:
[tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
Step-by-step explanation:
Required
Represent set A using set-builder notation
First, we need to understand the general rule:
[tex]0^2 + 3 = 0 + 3 = 3[/tex]
[tex]1^2 + 3 = 1 + 3 = 4[/tex]
[tex]2^2 + 3 = 4 + 3 = 7[/tex]
[tex]5^2 + 3= 25 + 3 = 28[/tex]
-----
--
--
In general, we can write it as:
[tex]n^2 + 3[/tex]
Next, is to determine the values of n;
Since [tex]n^2[/tex] is a perfect square of [tex]n[/tex], then, the values of n is 0,1,2,3,.....
Hence; Set A can be represented as: [tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
draw the image of ABC under translation by 3 units to the right and 4 units down
Answer:
Step-by-step explanation:
Move to (6,-2) at the top then at the bottom left (3,-5), after that to on th bottom right is (5,-7)
The required translated figure of a triangle ABC is shown in the image attached.
Question asked to draw the image of ABC under translation by 3 units to the right and 4 units down.
What is translation?A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.
Since the translation of the figure is shifting the figure through certain specified units. because of translation, there is no cause to changes to the measure of the figure. the new figure formed will be congruent to the former figure.
As per the question, we have a triangle ABC, Let applied all the translation processes to point C. coordinate of C is (-3, 1) after translation 3 units right and 4 unit down the new coordinates are (0, -3). similarly Coordinates of A and B also changed corresponding to C.
Thus, the required translated figure of a triangle ABC is shown in the image attached.
Learn more about translation here:
brainly.com/question/12463306
#SPJ2
he numbers in order from greatest to least.
-3, 1 1⁄4, -1 3⁄4, 1⁄10
Answer:
Answer:1 1/4, 1/10, -1 3/4, -3
Step-by-step explanation:
its easy boiiiiiiiiiiiiiii
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Question 4 of 10
What is the solution to this equation?
-8x + 4 = 36
A. X = -5
B. X= -4
C. X = 5
D. x = 4
SUBMIT
Answer:
The answer is B, -4
Step-by-step explanation:
Subtract 4 on both sides
[tex]-8x=32\\[/tex]
Divide both sides by -8
[tex]x=-4[/tex]
Simplify the expression.
2x2 +8+ 3x2 + 4x - 10
A. 5x2 +4x-2
B. 2x2 + x - 10
C. 2x2 - x + 10
D. 5x2 +7x - 11
Answer:
2 x 2 + 8 + 3 x 2 + 4x - 10
4 + 8 + 8 + 6 + 4x - 10
26 + 4x - 10
20 + 4x
The answer is 20 + 4x
A prime factor is a factor that is also a prime number. Create a factor tree for 200 and list the prime factor for 200. Send. Help.
Answer:
Step-by-step explanation:
200 ; 2^3 x 5^2
amanda can swim 25 yards in 30 seconds mckinly can swim 1000 yards in an hour who can swim faster
Answer:
amanda
Step-by-step explanation:
25 yards / 30 seconds = 50 yards / 1 minute
50 yards * 60 mins = 3000 yards / hour
Amanda swims 3000 yards in one hour
McKinly swims 1000 yards in one hour
Amanda can swim faster than Mckinly
Help me out here brothers.
Answer:
x = 4
Step-by-step explanation:
1. Find the degree measure of the unknown angle:
90-68 = 22 degrees
2. Find the appropriate slope ratio:
22 degrees = 2/5
3. Redraw the right triangle on a coordinate plane with the right angle on the origin if you have trouble visualizing the next step.
4. 2/5 = rise/run = x/10
2/5 = x/10
x = 4
y = 4[x - (3 - x)] - 7(x + 1)
Answer:
The answer is x - 19.
Hope it helps
On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.) b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.) c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
This question is incomplete, the complete question is;
Just how accurate are the weather forecasts we hear everyday? The table compares the daily forecast with a city's actual weather for a year.
FORECAST ACTUAL
Forcast Rain No Rain
Rain 28 63
No Rain 7 267
a) On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.)
b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.)
c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
Answer:
a) the percentage of days it actually rained = 9.6%
b) percentage of days rain was predicted = 24.9%
c) percentage of days forecast was correct = 80.8%
Step-by-step explanation:
First we get the total number of days;
28 + 63 + 7 + 267 = 365 days
a)
days it actually rained = ( 28 + 7 ) = 35
now the percentage of days it actually rained
35/365 × 100 = 9.58% ≈ 9.6%
b)
days rain was predicted = ( 28 + 63 ) = 91
now percentage of days rain was predicted
91/365 × 100 = 24.93% ≈ 24.9%
c)
days forecast was correct = ( 28 + 267 ) = 295
now percentage of days forecast was correct
295/365 × 100 = 80.82% ≈ 80.8%
what is the value of x? 42 45 3 15
Answer:
125 is the value of the question