Answer: 11/105
Step-by-step explanation:
Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
a) 16 m, 21 m, 39 m
b) 34 km, 27 km, 58 km
c) 29 ft, 38 ft, 9 ft
9514 1404 393
Answer:
a) no
b) yes
c) maybe (no)
Step-by-step explanation:
There are two versions of the triangle inequality. One requires ...
a + b > c
for any triple of side measures a, b, c.
The other allows ...
a + b ≥ c
which admits "triangles" that have zero height and look like line segments.
Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.
__
a)
[tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]
b)
[tex]27+34=61>58\qquad\text{could be a triangle}[/tex]
c)
[tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]
A clothing store is having a sale in which all T-shirts are $10. The sales tax is 5%. If Dan buys n T-shirts during this sale, the total cost of his purchase will be 10n + 0.05(10n). Interpret the meaning of 0.05(10n) in this context
Answer:
Step-by-step explanation:
Cost of 1 T-shirt = $ 10
Sales tax for 1 T-shirt = 5% * 10 = 0.05 * 10
Cost of n T-shirt = $ 10n
Sales tax for 'n' T-shirts = 0.05 * (10n)
Sales tax on 'n' T-shirts = Sales tax for 1 T-shirt * (Cost of n T-shirt)
Answer:
the cost of the t shirt = 10 times the sale tax which is 5%
Step-by-step explanation:
what is 1.24 x 10^ -2 in standard form ?
Answer:
0.0124
Step-by-step explanation:
The negative sign means that we need to move the decimal sign to the left. Since it's -2, the decimal place will be moved to 2 places to the left. From 1.24, it will become 0.0124
The ratio of boys to girls in the sixth grade are 2:3. If there are 200 sixth graders, how many of them are boys?
Answer:
80
Step-by-step explanation:
2:3
2+3=5
2/5×200=80
A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?
x
30 - x
30
Answer:
10 pounds of the $1.50 chocolate were used.
30 - x represents the number of pounds of the 0.90 chocolate used.
Step-by-step explanation:
30 * 1.10 = 1.5x + 0.9 (30 - x)
33 = 1.5x + 27 - 0.9x
0.6x = 6
x = 10
Answer:
30 - x
Step-by-step explanation:
Create a simplified equivalent expression: 4x + 3^3 - 2x *
Only smart bros answer
Answer:
178.695
Step-by-step explanation:
Answer the document please
ILL GIVE BRAINLIST!! PLEASE HELP!!
Answer:
125
Step-by-step explanation:
125x5=625
125x8=1000
20 points!! Answer ASAP please! Determine the equation of the line that passes through the given points. ( If you have a graphing calculator, you can
use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 82) and (2.7.3)
What is the value of x?
Answer:
x = 8
Step-by-step explanation:
recall that all internal angles of a triangle sum up to 180 deg
we are given that ∠F is a right angle = 90 deg
Simply sum all all the angles and equate the sum to 180 deg
90 + (3x+29) + (5x-3) = 180
90 + 3x+29 + 5x-3 = 180
90 + 3x+29 + 5x-3 = 180
116 + 8x = 180 (subtract 116 from both sides)
8x = 180 - 116
8x = 64 (divide both sides by 8)
x = 64/8
x = 8
find the slope of the table
Answer:
equation for slope:
y2-y1 / x2-x1
0- (-4) / 0 - (-5)
4/5 is your slope
Step-by-step explanation:
Mr. Duncan earns 75$ a day plus 35$ for each car he sells. if c is his total earnings and x is the number of cars he sold, what is the equation
Answer: c= 35x + 75
Step-by-step explanation:
If he earns $75 then that will be the constant amount which means it will never change, plus $35 for x cars, will give us the expression 35x + 75 and that has to equal c which is his total earnings.
Answer:
c = 35x + 75Step-by-step explanation:
Daily pay = $75Commission for each car = $35Total earnings for x cars sold:
c = 35x + 75A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Identify how many miles per day the Boden family is planning to travel.
miles per day
Answer:
202 miles per day
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Determine the initial number of miles that the Boden family drove before they made their plan.
771 miles
367 miles
165 miles
135 miles
This is your correct answer 165, oops this is the wrong question sorry
Line f passes through points (92, 19) and (-4, 94). Line g is perpendicular to f. What is the slope of line g?
Answer:
1.28
Step-by-step explanation:
slope of line f = (94 - 19)/(-4 - 92) = -75/96
since line g is perpendicular to line f, the product if their slope = -1
therefore, 75/96 x slope of line g = -1
slope if line g = -1/(-75/96) = 96/75 = 1.28
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Select all of the ratios that are equivalent to 6:3?
Answer: We can't see the ratios.
Step-by-step explanation:
Need Help ASAP! Thank you!
Answer:
b.
Step-by-step explanation:
B because the slope of f(x) is 1 yet the slope of g(x) is 1/3
The first term of an arithmetic progression is 80 and the common difference is -3. what is the greatest possible sum of the first n terms of this sequence, and for which value of n does it occur?
I need help with this question, in advance thank you :)
Answer:
S=157
Step-by-step explanation:
an= a1+(n-1)d
a2=80+(2-1)(-3)
a2=80-3
a2=77
Sn=(a1+an)*n/2
S2=(80+a2)*2/2
S2=(80+77)*1
S2=157
Pls I need help !!!!!
Answer: 6.324555 ?
Step-by-step explanation: The distance formula is the square root of
((-5-(-7))² + (7-1)²)
(-5-(-7))=2, and 2² = 4.
(7-1)=6, and 6²=36.
4+36=40
the square root of 40 is about 6.324555.
Sorry if I got this wrong
3.3.PS-11
Decide whether the table shows a proportional
relationship between x and y.
х
y
4.
3
5
19
4.
4
5
25
1
5
5
1
11
25
Answer:
4y
Step-by-step explanation:
Answer: The table ▼
does
does not
show a proportional relationship between x and y.
help fast timed hurry please
Answer:
b: 4
Step-by-step explanation:
Answer:
B:4
Step-by-step explanation:
On a family road trip, Mr. Edwards travels 130 miles in two hours. At this rate, how many miles will he travel in 30 minutes? (watch the time on this one!) Group of answer choices
Answer:
32.5 miles in 30 minutes.
Step-by-step explanation:
There are a total of 4 - 30 minute segments in a period of two hours. Therefore, in this question, we can simply divide the total distance that Mr Edwards travelled during those two hours by the 4 segments, and that would give us the distance travelled in a single segment of 30-minutes.
130 / 4 = 32.5 miles
Finally, we can see that Mr Edwards travelled 32.5 miles in 30 minutes.
pls show steps and explain
Answer:
3x+30= 116° 2x=64°
Step-by-step explanation:
the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this
5x+20=180
5x=160
x=32
sub x into the angle equations
3(32)+20=116
2(32)=64
Answer:
x=32°
Step-by-step explanation:
3x+20+2x=180°(being co interior angle)
3x+2x+20=180°
5x=180-20
5x=160
x=32°
solve for x plsssssss
Answer:
x = 129º
Step-by-step explanation:
It will take some time to elaborate but start this way:
you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º
so 57+58 = 115
to discover the other angle you just have to 180-155 = 65
Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...
) (i) Simplify:
Permudahkan:-
9 + 3t - 4
Answer: =3t+5
Step-by-step explanation:
hope this helped
whats 14 4/10 - 13 1/3 ASAP
Answer:
1 1/15
Step-by-step explanation:
Answer:
16/15 or 1.06.. or 1 1/15
Step-by-step explanation:
:)
Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each cost $b. She also needs 9 yellow units that each cost $y. A customer orders 4 gallons of this paint.
Sara uses the expression 4(4b + 9y) to find the total cost for the color units needed to make each gallon of paint.
Explain how to write an expression that is equivalent to the total cost expression. Then determine the total cost for the color units needed to make the paint if each royal blue color unit costs $0.30 and each yellow unit costs $0.10.
Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The children's tickets cost $7 each and the adult tickets cost $12 each. Write a system that represents this situation. How many of each did Jimmy purchase?
Answer:
Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.
Step-by-step explanation:
Let c = children tickets
Let a = adult tickets
Given the following data;
Number of tickets = 15
Total amount spent = $140
Cost of each children ticket = $7
Cost of each adult ticket = $12
*Translating the word problem into an algebraic equation (system)*
For the total number of tickets;
[tex] c + a = 15 [/tex] .........equation 1
For the total amount spent;
[tex] 7c + 12a = 140[/tex] ..........equation 2
*Solving the linear equation by using the substitution method*
Making c the subject in equation 1:
[tex] c = 15 - a[/tex] .......equation 3
Substituting "c" into equation 2;
[tex] 7(15 - a) + 12a = 140 [/tex]
Simplifying the equation, we have;
[tex] 105 - 7a +12a = 140[/tex]
[tex] 105 + 5a = 140[/tex]
Rearranging the equation, we have;
[tex] 5a = 140 - 105[/tex]
[tex] 5a = 35[/tex]
[tex] a = \frac {35}{5} [/tex]
a = 5 (For the $12 adult ticket).
To find the number of children tickets;
Substituting "a" into equation 3;
[tex] c = 15 - 7[/tex]
c = 8 (For the $7 children ticket).
Multiply out and simplify: (x + 6)(x - 2)
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
Find E and F!! Please and thanks!
Answer:
m∠E = 61°
m∠F = 61°
General Formulas and Concepts:
Pre-Alg
Equality PropertiesGeometry
Congruent AnglesAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
m∠D = 58°
m∠E = m∠F = x
Step 2: Set up equation
58 + x + x = 180
Step 3: Solve for x
Combine like terms: 58 + 2x = 180Subtract 58 on both sides: 2x = 122Divide 2 on both sides: x = 61°Step 4: Find angle measures
Define: m∠E = x°Substitute: m∠E = 61°Define: m∠F = x°Substitute: m∠F = 61°