Answer:
x = 21 and both sides are 53 units long
Step-by-step explanation:
They are congruent, so they are equal, so
3x-10=x+32 then solve for x
2x=42
x=21
then plug x into each side to get its length
3x-10=3(21)-10=53
x+32=21+32=53
You would expect them to be the same since they are congruent
-7x > 10
Solve for x
Answer:
x > -10/7
Step-by-step explanation:
divide both sides by -7 and it will be x= -10/7
Write an equation in slope-intercept form for the line parallel to y = 5x – 2
that passes through the point (6,-2).
Type your equation in the form y=mx+b. Do not use any spaces in your response.
Answer:
y = 5x - 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, then
y = 5x + b ← is the partial equation
To find b substitute (6, - 2 ) into the partial equation
- 2 = 30 + b ⇒ b = - 2 - 30 = - 32
y = 5x - 32 ← equation of parallel line
The equation y=0.2x models a proportional relationship. Complete the table and graph the data.
y=0.2x
#0
[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]
(x,y)=(0,0)#5
[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]
(x,y)=(5,1)#10
[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]
(x,y)=(10,2)#15
[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]
(x,y)=(15,3)#20
[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]
(x,y)=(20,4)Step-by-step explanation:
The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]
[tex]{ \star}[/tex]Put x = 0, then
[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 5, then
[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 10, then
[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 15, then
[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 20, then
[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4
Can someone help me out with this please
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
do anybody know the answer to dis
53.9 - 5.07
Answer:
48.83
Step-by-step explanation
Find an equation of the circle whose diameter has endpoints (1,1) and (-5,-3) .
Answer:
(x+2)^2 + (y+1)^2 =13
Step-by-step explanation:
Help me pleaseeeeeeeeereere
Answer:
£3.9
Step-by-step explanation:
Philip went to the shop with £9.60
spent £5.70
Money left = £9.60 -£ 5.70
=£3.9
Hence,
He came home with £3.9
49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
4.5
2x =3 solve for x in this equation
Answer:
the answer is 3/2
Step-by-step explanation:
2x =3
x= 3/2 when you divide both sides by 2
Answer:
I might be wrong but 1 and 1/2
Step-by-step explanation:
I divided both sides by 2 to isolate the x
I got x = 3/2 which also equal 1 1/2
A cyclist travels 6.7 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]
30 min = ½ hr.[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]
[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]
[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]
His rate is 13.4km/ hour
Data;
Distance = 6.7kmTime = 30 minutesConversion From Minutes to HoursTo solve this problem, we have to convert his speed from km/min to km/h
[tex]60min =1 hour\\[/tex]
Since his rate is 6.7kmin 30 minutes, let's convert it to hour
[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]
But to convert minutes to hours, we have to divide the time by 60
[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]
From the calculation above, his rate is 13.4km/ hour
Learn more on conversion from minutes to hours here;
https://brainly.com/question/4845674
A number is between 14 and 19. It has prime factors of 2 and 3. What is the number
Answer:
18
Step-by-step explanation:
18devided by 3 is 6 and 18 divided by 2 is 9
The number that has prime factors of 2 and 3 is 18.
What are prime factors?
Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.
What are the factors of the numbers between 14 and 19?
Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16To learn more about factors, please check: https://brainly.com/question/26073850
Show me the
volume of a cube
with side lengths
of 2
Answer:
8
Step-by-step explanation:
v=l*w*h so 2^3=8
x + 12 = 20 i really need help
Hello! :)
x+12=20
Move all numbers to the right, using the opposite operation:
x=20-12
x=8
Therefore, x=8
Hope it helps. Enjoy your day! :)
Do ask me if you have any question.
~An excited gal
[tex]MagicalNature[/tex] here to help
clara has a positive acceleration for 5 minutes
Answer:
The answer is C.
Step-by-step explanation:
Calculate the volume of a similar channel whose radius 1.5m. I need help in checking is A is correct and please send B with working if possible 3 first to answer gets ranked
Answer:
252.21m
Step-by-step explanation:
Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest
What number should go in the space?
Multiplying by 0.51 is the same as decreasing by _____%.
Answer:
49
Step-by-step explanation:
x multiplied by 0.51 is the same as 49% of x
Help with elimination
Many Thanks
[tex]\left \{ {{-6y = -12} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y = 2} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y=2} \atop {3x + 2*2 = -2}} \right. <=> \left \{ {{y=2} \atop {3x = -6}} \right. <=> \left \{ {{y=2} \atop {x=-2}} \right.\\ => \left \{ {{y=2} \atop {x=-2}} \right.[/tex]
which answer is correct
Answer:
see below for answer
Step-by-step explanation:
(4p^2+32p)/(p-2)=(4p(p+8))/p-2
(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)
(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p
In which diagram are angles 1 and 2 vertical angles?
Answer:
Step-by-step explanation:
can you upload diagram?
Solve for Z:
4 > 5Z + 34
help me so hard
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
Answer:
z<-6
Step-by-step explanation:
4-5Z>34
-5z>34-4
-5z>30
z<-6
A cyclist travels 5.3 km in 30 minutes. What is his average speed in km/h?
Answer:
10.6 km/h
Step-by-step explanation:
avg. speed in km/h literally tells us how much distance (in km) the cyclist travels in an hour. An hour happens to be double that of 30 minutes, so the distance will be double of 5.3km. The distance over an hour is 10.6km, so the speed is 10.6km/h.
Alternatively, you can simply divide distance by time:
5.3km / 30min = 5.3km / (1h / 2) = 5.3km * 2 / 1h = 10.6km/h
Answer:
hope this helps
Step-by-step explanation:
5.3 km 3.293 miles so the average speed would be 6.59 mph
SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?
Answer:
52$
Step-by-step explanation:
13 (75% off) so 13 is 1/4 the price.
13x4 = 52
A shipping container is In the shape of a right rectangular prism with a Length Of 11.5 feet a width of 10.5 feet and a height of 13 feet The container is compeletly filled with contents that weigh on average 0.29 pound per cubic foot. What is the weigh of the contents in the container to the nearest pound?
Answer:
0.30
Step-by-step explanation:
I'm not hundred percent sure but I believe it's 0.30
Answer:
V=455
Step-by-step explanation:
V= (L)(w)(H)
v= (11.5)(10.5)(13)
v=1569.75ft^3
v= (1569.75ft^3)(.29/ft^3)=445
Help mE ASAPPPPPPPP PLSSSSS
Answer:
I think its
B) CG
I hope its right
DUE BY 11:59 PM!!
HELP GREATLY APPRECIATED!!
Answer:
Step-by-step explanation:
1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.
2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.
3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.
4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.
Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)
Please help!!
Find the slope of the line
Answer:
-2
Step-by-step explanation:
rise over run is 2/1 and y is decreasing as x is increasing so its negative
Becky's medical bill is $1374. She has a $150 deductible, plus 85% medical insurance
How much will Becky pay?
Helpppp
Answer:
$333.60
Let me know if you have any questionsWhat is the value of the function Y equals 2X plus 3 When x equals -1
Answer:
1
Step-by-step explanation:
Y=2x+3
Y=2×(-1)+3
Y=1
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50