Using the segment addition postulate, the numerical length of TV is: 9 units.
What is the Segment Addition Postulate?According to the segment addition postulate, if U lies between line segment TV, therefore:
TV = TU + UV
Plug in the values:
3x + 6 = 4 + 5x
Solve for x
3x - 5x = 4 - 6
-2x = -2
x = 1
TV = 3x + 6 = 3(1) + 6
TV = 9 units
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Which statements are true about the solution of 15 > 22 + x? Select all that apply.
A.
-6 is part of the solution.
B. x < -7
c. Thegraph has a closed circle.
D. x > -7
E.
-7 is part of the solution.
Answer:
B
Step-by-step explanation:
15>22+x
or, -x+15>22
or, -x>22-15
or, -x>7
or, x<-7 is your answer.
Joe pays $26.78 for 6.5 gallons of gas.
Find the unit price in dollars per gallon.
If necessary, round your answer to the nearest cent.
Answer:
$4.12
Step-by-step explanation:
$26.78 / 6.5 gallons = $4.12 per gallon
Answer: $4.12
Step-by-step explanation: For every gallon the unit rate is $4.12 per gallon.
Hope this helped!
Write and solve an equation to find the number n. Six times the sum of a number and 15 is -42.
Answer:
8
Step-by-step explanation:
6*(n + 15) = -42
Divide both sides by 6
6*(n - 15)/6 = -42/6
n - 15 = -7
n = -7 + 15
n = 8
The equation is solved and the number is n = -22
Given data ,
The sum of a number and 15 can be written as (n + 15)
Six times the sum of a number and 15 can be expressed as 6(n + 15).
According to the given information, this expression is equal to -42. So, we can write the equation:
6(n + 15) = -42
To solve for n, we need to simplify and isolate the variable.
Distribute 6 to the terms inside the parentheses:
6n + 6(15) = -42
Simplify:
6n + 90 = -42
Next, we want to isolate the variable term. Subtract 90 from both sides of the equation:
6n + 90 - 90 = -42 - 90
Simplify:
6n = -132
Finally, divide both sides of the equation by 6 to solve for n:
n = -132 / 6
Simplify:
n = -22
Hence , the number n is -22
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XYZ has been bisected. Find the measurement of XYZ if m2 = 40°
Answer:
baby I'm a different yea yea yea yea ye
Find the width of a rectangle is the perimeter is 56 cm and the length is 15 cm.
help ?
whats the formula for this
Answer:
13cm
Step-by-step explanation:
P=2l+2w
56=2(15)+2w
56=30+2w
26=2w
w=13
The actual length of a full-size school bus is 40 feet. Which toy school bus is built to a scale of 1inch = 5 feet?
Answer:
well
Step-by-step explanation:
40 ÷ 5 = 8
so the answer should be an 8 inch toy bus
-4 times -1 +(-3) need ASAP plz
Answer:
1
Step-by-step explanation:
-4(-1)+-3
4+(-3)
=1
Answer: [tex]1[/tex]
Multiply
[tex]-4*-1=4[/tex]
Note: Multiply a negative to a negative will equal a positive.
Add
[tex]4+(-3)=1[/tex]
Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?
Answer:
Step-by-step explanation:
First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)
I took away the one third I divided from it (46.50-15.50=31)
I got 31 dollars as my final answer.
Now Karim needs to buy the shirt for $31.
Answer:
$31
Step-by-step explanation:
Price of the shirt normally: $46.50
Deduction in the price when it's 1/3 off: 1/3 * $46.50 = $15.50
amount that Karim needs to pay to buy the shirt:
Price of the shirt normally - Deduction in price when it's 1/3 off =
$46.50 - $15.50 = $31.00
Find an equivalent mixed number for the decimal number. 6.44
Answer:
6 and 11/25
Step-by-step explanation:
Turn demical number into an unreduced fraction, or 6 and 44/100. Then, reduce the fraction to simplest terms via dividing by a common factor. In this case, 11.
Evaluate f(2) when f(d)=2d-5
Answer:
f(2)= -1
Step-by-step explanation:
[tex]f(d) = 2d -5\\\\f(2)=?\\\\[/tex]
Substitute ; Let d =2 in the given function
[tex]f(2)= 2(2) -5\\\\f(2) = 4-5\\\\f(2) =-1[/tex]
can somebody help me find the slope of this line?
Answer:
the slope is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The slope of the line is 3
I have number 10 done but can someone help me out with 11?
Answer:
x=5
Step-by-step explanation:
opposite angles are the same, so the small ones are 15. 180-30=150
150/2=75 75/15=5
sort each equation according to wether it has one solution, infinitely many solutions, or no solution
5(x - 2)=5x-7
-3(x - 4)=-3x+12
4(x+1)=3x+4
-2(x - 3)=2x-6
6(x + 5)=6x+11
Answer:
5(x - 2)=5x-7 has no solution
-3(x - 4)=-3x+12 infinitely many solutions
4(x+1)=3x+4 no solution
-2(x - 3)=2x-6 infinitely many solution
6(x + 5)=6x+11 no solution
Step-by-step explanation:
5(x - 2)=5x-7
-3=0
-3(x - 4)=-3x+12
0=0
4(x+1)=3x+4
x=0
-2(x - 3)=2x-6
0=0
6(x + 5)=6x+11
30=11
I hope this helps.
what is the fraction 183/1000 simplified
Answer: 1.83/10 or 18.3/100
Evaluate r(x)=−x−7 when x=−2,0, and 5.
Answer:
-5, -7, and -12
Step-by-step explanation:
A function is defined as a relation between a set of inputs having one output each.
The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
We have,
A function r(x)
r(x) = x - 7
The value of r(x) at x = -2:
r(-2) = - ( -2) - 7
r(-2) = 2 - 7 = -5
The value of r(x) at x = 0:
r(0) = -0 - 7 = -7
The value of r(x) at x = -2:
r(5) = -5 - 7 = -12
We see that,
Domain = -2, 0, and 5.
Range = -5, -7, and -12.
Thus,
The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.
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Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?
Answer:
x = 2, -4
Step-by-step explanation:
To find the answer to this question, we will have to find the values of x where:
-5|x + 1| + 3 = -12
We can solve this equation for x to find the values of x that satisfy this equation.
-5|x + 1| + 3 = -12
Subtract 3 from both sides.
-5|x + 1| = -15
Divide both sides by -5.
|x + 1| = 3
Now here, the equation will split off into two different equations. These two are:
x + 1 = 3
x + 1 = -3
Lets solve the first one first.
x + 1 = 3
Subtract 1 from both sides.
x = 2
Now we solve the second one.
x + 1 = -3
Subtract 1 from both sides.
x = -4
So now we have the answers x = 2 and x = -4.
So the values of x are x = 2, -4
I hope this helps.
Answer:
the answer is C
Step-by-step explanation:
Identify the hypothesis of the following statement: The plants will die if it does not rain soon. Select the best answer from the choices provided.
A it will rain
B. it does not rain soon
C. the plants died
D. the plants will die
There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags? a. 900 raisins b. 935 raisins c. 1,020 raisins d. 1,056 raisins
Answer:
C
Step-by-step explanation:
We can divide the number of raisins by 8 because there are 8 bags (680÷8) which would be 85. Next we multiply the 85 by 12 because we need to find out the number of raisins in 12 bags (85×12), which would give us 1,020.
Right before a snow storm the hardware store sold
fifteen shovels in sixty minutes. At that rate the store
solda shovel every minutes.
Answer:
4
Step-by-step explanation:
60/15=4
The rate of change is 1/4 shovels/ minute of 0.25 shovels/ minute.
What is rate of change?Rate of change is the increase or decrease of any property with respect to any other property, when rate of change is studied for a time duration, the ratio of the difference in the property from initial state to its value at the end of the time duration is divided by the total time.
For an expression, the rate of change is determined by differentiation.
The hardware store sold 15 shovels in sixty minutes.
The number of shovels sold is 15.
The time duration in which the shovels are sold is 60 minutes.
The rate of the shovels sold every minute has to be determined.
Rate = ( No. of shovels sold) / Time duration
Substituting the values
Rate = 15 /60
Rate = 1/4
Rate is 1 shovel sold every 4 minute.
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Helpppppppppppppppppopp
▪ Answer:
+ 16
▪ Step-by-step explanation:
Hi there !
(-2)^4 =
= (-2)(-2)(-2)(-2)
= (4)(-2)(-2)
= (-8)(-2)
= + 16
Good luck !
(-)(-) = +
(-)(+) = -
what is 3000 divided by 5000 subtracted from 200 plus 921
Answer:
1120.4 is what I got
Step-by-step explanation:
3000÷5000-200+921=721.6
answer is 721.6
15x+6=10x+21 what’s x
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]15x+6=10x+21[/tex]
Subtract 6 from both sides:
[tex]15x+6-6=10x+21-6[/tex]
[tex]15x=10x+15[/tex]
Subtract 10x from both sides:
[tex]15x-10x=10x+15-10x[/tex]
[tex]5x=15[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{15x + 6 = 10x + 21}[/tex]
Move 10x to left hand side and change it's sign
Similarly, move 6 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{15x - 10x = 21 - 6}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 21 - 6}}[/tex]
Subtract 6 from 21
[tex] \dashrightarrow{ \sf{5x = 15}}[/tex]
Divide both sides by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{15}{5}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 3}}[/tex]
Hope I helped!
Best regards! :D
if you multiply me by 5 and subtract 6 from me you get 14. what number am I.
Answer:
tje answer is 4
Step-by-step explanation:
4x5=20
20-6=14
2. An article in the Journal of the American Medical Association reports the results of a
study designed to see if the herb St. John's wort is effective in treating moderately
severe cases of depression. The study involved 338 patients who were being treated
for major depression. The subjects were randomly assigned to receive one of three
treatments: St. John's wort, Zoloft (a prescription drug), or placebo (an inactive
treatment) for an 8-week period. The two way table summarizes the data from the
experiment
Treatment
a. What proportion of subjects in the study were
St. John's
randomly assigned to take St. John's wort?
wort Zoloft Placebo
Explain why this value makes sense.
Full
27 27
The proportion of subjects in the study that were randomly assigned
response
to take St. John's wort is about 1/3 (113/338).
Change in Partial
16 26 13
depression response
No
70 56 66
b. Find the distribution of change in depression
response
for the subjects in this study using relative
frequencies.
37
1
C. What percent of subjects took Zoloft and showed a full response?
Answer:
a. 113/338
b. The relative frequency distribution is presented as follows;
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. 29.67%
Step-by-step explanation:
a. The proportion of subjects assigned to take St. John wort is found as follows;
The total number of subjects = 27 + 27 + 37 + 16 + 26 + 13 + 70 + 56 + 66 = 338 subjects
The number of subjects assigned to take St. John wort = 27 + 16 + 70 = 113
The proportion of subjects assigned to take St. John wort = 113/338
b. The distribution of change in depression response using relative frequency is found as follows;
Total full response = 27 + 27 + 37 = 91
Total partial response = 16 + 26 + 13 = 55
No response = 70 + 56 + 66 = 192
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. The percentage of subjects that took Zoloft and showed full response is given as follows;
The percentage of subjects that took Zoloft and showed full response = 27/91 × 100 = 29.67%
A room measuring 6m x 4m is carpeted leaving space of 25cm all around. Find the area of the carpet.
Answer:
Step-by-step explanation:
Length = 6m
Breadth =4m
[tex]Area = length\times breadth\\\\A = 6\times 4\\\\A= 24cm^2[/tex]
Answer:
area of carpet = 19.25 m²
Step-by-step explanation:
given:
A room measuring 6m x 4m is carpeted leaving space of 25cm all around.
find:
the area of the carpet
--------------------------------
carpet is offset 0.25m all round.
area of carpet = (6 - 0.25 - 0.25) x (4 - 0.25 - 0.25)
area of carpet = 5.5 m x 3.5 m
area of carpet = 19.25 m²
Can I get the answers plz
Answer:
1) yes
2) yes
3) no
6k - 12 = -24
Solve this
Answer:
-2
Step-by-step explanation:
6k=-24+12
or,6k=-12
or,k=-12/6
or,k=-2
Answer:
The value of k is -2.
Step-by-step explanation:
First, you have to add 12 to both side :
[tex]6k - 12 = - 24[/tex]
[tex]6k - 12 + 12 = - 24 + 12[/tex]
[tex]6k = - 12[/tex]
Next, you have to divide by 6 :
[tex] \frac{6k}{6} = \frac{ - 12}{6} [/tex]
[tex]k = - 2[/tex]
A puppy is on sale at a pet store for $324,marked down 10% from an original selling price of 360.
A. if the markup from coast to sale price was $54,what was the cost? Round to the nearest dollar.
B. How would you solve the problem if you were given the sale price? please help me if you can
Answer:
$ 360
Step-by-step explanation:
Puppy is on sale for = $ 324
It is marked down by 10% from original selling price of $ 360
Markup from the original buying cost = $ 54
Original Cost was = 360 - 54 = $ 306
$ 360 was the original price which was marked down by 10% i.e. $ 36 to the sale price of $ 324
what is the range in a set of data
Answer:
the smaller number minused by the bigger number.
Step-by-step explanation:
Hopefully this helps you :)
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A line has a y-intercept of 8 and a slope of 4. What is its equation in slope-intercept form?
Answer:
y = 4x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 8 , thus
y = 4x + 8 ← equation of line
The equation in slope-intercept form is y = 4x+8
What is the equation of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given that, a line has a y-intercept of 8 and a slope of 4.
We know that, the general equation of a line is given by, y = mx+c
where m is slope and c is the y intercept,
Here, m = 4 and c = 8
Therefore, the equation can be, y = 4x+8
Hence, The equation in slope-intercept form is y = 4x+8
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