Answer:
(−∞,−82)
Step-by-step explanation:
Eighty-two less than r, r−82 is less than <−164.
Now we can solve the inequality by adding 82 to each side.
r−82r−82+82r<−164<−164+82<−82
In interval notation, we write this as (−∞,−82).
The value of r in the statement eighty-Two less than r is less than −164
is r < - 82.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The given statement is Eighty-Two less than r is less than −164 which can be numerically expressed as,
r - 82 < - 164.
r < - 82.
learn more about inequalities here :
https://brainly.com/question/20383699
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Michael's High School is selling tickets to its spring musical. On the first day of ticket sales the school sold 1 adult ticket and 3 student tickets for a total of $38. The second day of sales, the school sold 5 adult tickets and 1 student ticket for a total of $78
Write a system of equations to represent the number of tickets sold each day
Determine the price of an adult ticket and a student ticket
Answer:
adult ticket price: $14
student ticket price: $8
Step-by-step explanation:
x = adult ticket
y = student ticket
system equations:
[tex]x + 3y = 38 \\ 5x + y = 78[/tex]
elimination method:[tex]x + 3y = 38 |multiple \: by \: 1\\ 5x + y = 78|multiple \: by \: 3 \\ \\ x + 3y = 38 \\ 15x + 3y = 234 \\ subract \: them: \\ - 14x = - 196[/tex]
substitute:[tex] - 14x = - 196 \\ - x = \frac{ - 196}{14} \\ - x = - 14 \\ x = 14[/tex]
find the y using substitution method:
x+3y=38
14+3y=38
3y=24
y=24/3
y=8
so the price of an adult ticket is $14 and the price of student ticket is $3
find the area of a rectangle that is 30 inches by 2000 inches
Answer:
60,000 in.
Step-by-step explanation:
30*2000
A man needed to sell a car. He priced it at 3500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
Answer:
Step-by-step explanation:b
What is the slope, y-intercept and equation
Answer:
Slope=1x, y-intercept=2, equation=f(x)=1x+2 or y=1x+2 [they are the same]
Step-by-step explanation:
A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45 degrees. Which parametric equation represents the path of the football
Answer:
[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]
Step-by-step explanation:
From the question we are told that
Height [tex]h=4feet[/tex]
Initial velocity of[tex]v_0=59 feet/sec[/tex]
Angle [tex]\theta= 40\textdegree[/tex]
Generally the parametric equation for projectile motion is mathematically given by
[tex]x=(v_0cos\theta)t,y=y_0+(v_0sin\theta)t-16t^2[/tex]
Therefore
[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]
The parametric equation that represents the path of the football
[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]
Answer:
C
Step-by-step explanation:
What is the graph of g(x) = 2^x-1 + 3
Answer: its D
Step-by-step explanation:
Simplify the expression.
8 + 3z-z
Answer:
8 + 2z
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8 + 3z-z Equation/Question
Step 2
8 + 3z-z Simplify
8 + 3z-z
Step 3
8 + 3z-z Combine terms
answer
2z+8
Hope this helps
It takes 20 minutes to cut a log into 5 equal-size pieces. How long will it take to cut a similar log into 3 equal-size pieces
Answer:
30mins
Step-by-step explanation:
Answer:
12 minutes
Step-by-step explanation:
20/5=4
3*4=12
A football team has a net yardage of −28 1/3
yards on a series of plays. The team needs a net yardage of 30 yards to get a first down. How many yards do they have to get on their next play to get a first down?
Answer: 58 1/3 yards
Step-by-step explanation:
From the question, we are informed that a football team has a net yardage of −28 1/3 yards on a series of plays and that the team needs a net yardage of 30 yards to get a first down.
The number of yards that they have to get on their next play to get a first down would be calculated as:
= 30 - -28 1/3
Note that minus × minus = plus
= 30 + 28 1/3
= 58 1/3 yards
Simplify the following expression by combining like terms
8x2 - 7x - 8 - 11 + 3x2 + 4x
Answer:
-3x + 3
Step-by-step explanation:
Hope this Helps...
find the value of x in the figure below
Answer:
24
Step-by-step explanation:
cuz its an iscosceles triangle so the angles are the same so
2x-4=44 and solve
4.x = 28
5
7
8
10
Which one is it
answer to the question
7
can someone help me figure this out
Answer:
I think the answer is Z is 45 degrees
hope this helps!
Answer:
The value of tangent Z is
[tex] \frac{3}{4} [/tex]
Note that the question asks for the value of tan z NOT angle z.
Step-by-step explanation:
[tex] \tan(z) = \frac{opposite}{adjacent} = \frac{21}{28} = \frac{7 \times 3}{7 \times 4} = \frac{3}{4} [/tex]
Dawn enjoys exercising on the hiking trail by her house. She ran 2/5 of
the trail on Monday and then ran a different 1/3 of the trail on Tuesday.
How much of the trail had she covered on the two days?
Answer:
11/15 of the trail
Step-by-step explanation:
Step one:
given data
She ran 2/5 of the trail on Monday
Then ran a different 1/3 of the trail on Tuesday
Required
The total distance covered for Monday and Tuesday
Step two:
Total= 2/5+1/3
lcm= 15
Total= 6+5/15
Total= 11/15
What is the area of the figure below?
A 22 cm
B 24 cm2
C 48.5 cm2
D 56 cm
Please helpppp meeee
================================================
Explanation:
Let's go through the answer choices one at a time.
A) The AA postulate is only used for similar triangles, and not congruent triangles. We need information about at least one pair of sides. Using the angles only isn't enough. We can rule out choice A.B) The HL postulate only applies to right triangles. These triangles are acute triangles, so we can rule out choice B.C) This is the answer as we can rule out choice D, so this is the only thing left. Also, if we know that angle A = angle A'' and angle B = angle B'', then we could use the ASA theorem to prove the triangles congruent.D) This is not a valid congruence theorem. This is because we could have ambiguous cases that arise and lead to confusion. Also, it is possible that if we know two sides and a non-included angle, then a triangle may not be able to be formed. It will depend on the angle and side values. Therefore, we can rule out choice D.Z/7=8 what is the missing number and how do you figure it out
Answer:
56
Step-by-step explanation:
Multiply 7 to both sides to get x by itself.
z/7=8
z=8(7)z=56Check:
56/7=8Which math expression means "the sum of 33 and 18"? O A. 33 = 18 O B. 33. 18 O C. 33 - 18 O D. 33 + 18
Answer:
D. 33 + 18
Step-by-step explanation:
Sum in mathematics is the same as addition or plus.
As such the sum of two or more numbers is the addition of these numbers or the result obtained when the plus sign is placed in between the given numbers.
Hence, the sum of 33 and 18 may be expressed as
33 + 18
Option D is right
Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
Mariam Ali
0.1 Express the ratio as a fraction in simplest form:18 ounces to 3 cups
2 points
O 6 to 1
O 1/6
O 18/3
O 3/18
[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]
18 ÷ 3
= 6/1
Option [a] 6 to 1 is correct !
Find 40% of 28. Use a fraction.
O 10
Non
One
011
1
O 11
Answer:
14/125
Step-by-step explanation:
Because 40% of 28 is 11.2 11.2 as a fraction is 14/125
What is the slope of the line whose equation is 12=4x−6y?
Enter your answer in the box.
What is the value of x in the equation Negative two-fifths x minus 2 = 18? –50 –40 –8 –6
Answer:
A. -50
Step-by-step explanation:
your welcome!
One number is 6 less than another. Their sum is 14. Find the numbers.
Answer:
4 and 10
Step-by-step explanation:
10-4=6
and 10 plus 4 equals 14
so the numbers are 4 and 10
Find the equation of a line that contains the points (0,4) and (3,7). Write the equation in slope-intercept form.
Answer:
y=mx+b
y= 1x + 4
Step-by-step explanation:
m= y2-y1/x2-x1
m= 7-4/3-0
m= 3/3
m=1
y=mx+b
7= 1*3+b
7=3+b
-3 -3
4=b
y=1x+4
What is the measure of QS?
Answer:
21.9mm
Step-by-step explanation:
6.2+ 15.7 = 21.9
hope this helps....
876 divided by 63 ___ R___
Answer:
139 r 3
Step-by-step explanation:
I did the math in my notebook
Brandi rolls a fair Six-sided Number cube flips a fair coin, and then rolls the number cube again. Which outcome is part of sample space?
Answer:
Options aren't given but explanation and answer is below:
Step-by-step explanation:
First action/trial - Rolling a fair dice (6-sided number cube)
Second action - Flipping a fair coin
Third action - Rolling a fair dice
In this experiment, all the equipment are fair. What this means is that there is no bias; every face of each equipment has an equal chance of emerging tops.
In your options, you should have three values per option.
The first would be the number resulting from the first throw of dice.
The second would be head or tail; which are the only two faces of a coin.
The third would be the number resulting from the second throw of dice.
So ONE of those options will be a part of the sample space, which is enlisted below:
Trial A: {1, 2, 3, 4, 5, 6}
Trial B: {Head, Tail}
Trial C: {1, 2, 3, 4, 5, 6}
* If there's an option like {9, Tail, 2} it will be wrong, because it has an element "9" which does not fall within the prescribed sample space.
* Also, if we follow the order in which Brandi conducted this experiment, an option like {Head, 6, 5} will be wrong, since the elements are wrongly placed.
5
4
2
1
O
3
4
5
A
Which equation best represents the line? (4 points)
Oy - 3x - 1
Oy - 3x + 1
Answer:
The equation best represents the line is:
y = 3x-1Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptTaking the two points
(0, -1)(1, 2)Determining the slope between the points (0, -1) and (1, 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)[/tex]
[tex]m=\frac{2-\left(-1\right)}{1-0}[/tex]
Refine
[tex]m=3[/tex]
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
As we are given the point (0, -1)
It means at x = 0, y = -1
Thus, the y-intercept b = -1
now substituting b = -1 and m = 3 in the slope-intercept form
y = mx+b
y = 3x + (-1)
y = 3x-1
Therefore, the equation best represents the line is:
y = 3x-1At the beach, a child is filling a plastic bucket with sand. If the bucket is in the shape of a cylinder, with a height of 9 inches and a radius of 4.5 inches, approximately how much sand will fill the bucket? (Use 3.14 as an approximate of pi.)
A) 254.3
B) 508.7
C) 572.3
D) 2,289.1
Answer:
Volume of a Cylinder = πr²h
v = 3.14 * (0.5)² * 2.5
v = 3.14 * 0.25 * 2.5
v = 1.96 Ft³
Step-by-step explanation:
Answer:
Step-by-step explanation:
a
