Solve each equation. Show or explain your reasoning.
−3x − 5 = 16
−4(y − 2) = 12
Answer:
Step-by-step explanation:
First equation: −3x − 5 = 16
Combine the constants:
-3x = 21
Solve for x using division: x = 21/(-3) or x = -7
Second equation: −4(y − 2) = 12
Reduce this by dividing both sides by -4: y - 2 = -3
Add 2 to both sides, to isolate y: y = -1
Find the value of x.
Answer:
57?
Step-by-step explanation:
I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180
The volume of a cone-shaped hole is 25 pi ft cubed . If the hole is 3 ft deep, what is the radius of the hole?
Answer:
5ft
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Volume = 25π ft cubed
Depth = 3 ft
So, we can calculate the radius by using following formula,
V = 1/3 ×π ×radius squared×depth
25π = 1/3×π×radius squared ×3
Radius squared = 25
Radius = √25
Radius = 5 ft
Hence the radius of the hole is 5 ft.
Triangle ABC is similar to triangle DEF. What is the value of x ?
Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{45}{x+8}[/tex] = [tex]\frac{30}{25}[/tex] ( cross- multiply )
30(x + 8) = 1125 ( divide both sides by 30 )
x + 8 = 37.5 ( subtract 8 from both sides )
x = 29.5 → A
Given a sphere with a diameter of 10 cm, find its volume to the nearest whole
number
A. 4187 cm
B. 393 cm
C. 167 cm
D. 524 cm
I’m confused
Answer:
d
Step-by-step explanation:
I need help please , I’m so confused please
Answer:
628.32 or 628.31853071796
Step-by-step explanation:
V=πr²h or Volume equals pi r squared times h
V=pi*10²*2
Tickets for a baseball game sell for $3. One hundred fifty were sold in advance. The stands has 400 seats.
Let A be the total amount of ticket sales, in dollars, including the tickets sold at the door. Which statement best decribes A?
a. A ≥ 1,200
b. 450 ≤ A ≤ 1,200
c. A ≥ 450
d. A ≤ 900
Answer:
b. 450 ≤ A ≤ 1,200 is a required answer.
One fifty sold
Price
150(3)$450Total seats=400
Total price
400(3)$1200So
450≤A≤1200 is correctWhich sequence is an example of an arithmetic sequence?
Question 9 options:
5, 10, 20, 40, 80, …
5, 10, 15, 20, 25, …
–3, –6, –18, –54, …
20, 10, 5, 2.5, …
Answer: the second sequence.
25- 20= 20-15=15-10=10-5.
From this we can see that the common difference is 5
Step-by-step explanation:
what is the formula to find angle A? please help
Answer:
Step-by-step explanation:
The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows: The angles in a triangle (a 3-sided polygon) total 180 degrees.
What is 4/11 simplified
Answer:
4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%
Step-by-step explanation:
The simplified expression of 4/11 is 4/11
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
4/11
This means that we divide 4 by 11
So, we have the following representation
4/11
In the above, we have
The numerator 4 is less than the denominator 11
This means that the expression is already simplified
Hence, the simplified expression is 4/11
Read more about expressions at
brainly.com/question/30492964
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One angle of an isosceles triangle measures 30°. Which other angles could be in that isosceles triangle
Answer:
the angles sum of a isosceles triangle is 180 degrees so you can have..
Step-by-step explanation:
75 and 75
100 and 50
uhhhh i think theres more but someone else can list them :)
please answer this through here. People are giving me links that i cant open
Answer:
Bulldogs
Step-by-step explanation:
3/8 is less then 1/2
3/8 is less than 4/5
3/8 is less than 2/3
find the area of the shaded region. Use 3.14 for pi
Answer:
This shaded region is consisted of 2 shapes: a right triangle and a semi-circle. To find the overall area, we must first find the are of the 2 shapes and add them together.
Step-by-step explanation:
1. Find the area of the right triangle:
a = 14, b = 2r = 8cm
A1 = ab/2 = 112/2 = 56cm²
2. Find the area of the circle:
r = 4 cm
A2 = πr² = 3.14 × 4² = 50.24cm²
3. Divide the area of the circle to get the area of the semi-circle:
A3 = A2/2 = 50.24/2 = 25.12cm²
4. Add the areas of the right triangle and the semi-circle together:
A1 + A3 = 56 + 25.12 = 81.12cm²
PLEASE HELP ASAP!! ILL GIVE BRAINLIST!
PLEASE HELP ME!!!!!!!!
Answer:
a) = -8
b) 1 - (-7) = 8
b) -7 - 1 = -8
c) for both they are still the same answer so
[1- (-7)] = 8
[-7 - 1] = -8
I'm pretty sure these are the answers hope this helped
Step-by-step explanation:
The volume of a rectangular prism is 945 ft. If it has a length of 15 ft and a width of 9 ft, what is
its height?
Answer: 7ft
Step-by-step explanation:
Rectangular Prism = L x W x H
135H = 945
H = 7 ft
5. What is the range of the function y = 2x – 4?
Answer:
The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.
graph is linear:
y=2x-4
solve for x=o
y=2x0-4 Eliminate 0
y=-4 solved for y
solve for y=0
0=2x-4 add 4
+4 +4
4=2x divide by 2
/2 /2
4/2 =x
2=x solved for x
calculate the slope
Solve for x=1
y=2x1-4
y=2-4
y=2 solved for y
Calculating the slope
y -y
a= x=1 x=0 =2
1
The graph is
(0, -4) (2, 0)
I NEED HELP WITH THIS EQUATION
Answer:
Hello! answer: 2/5
Step-by-step explanation:
3 ÷ 7 = 0.428571428571
2 ÷ 5 = 0.4
Therefore 3/7 is bigger then 2/5 Hooe that helps!
To which rational number subset(s) do the following numbers belong?
1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers
D.
D. natural numbers, whole numbers, and integers
Need help! I’m rlly struggling with this math. Can anyone explain how to do it?
=======================================================
Explanation:
As you can probably guess, the first equation [tex]a_1 = 3[/tex] says that the first term is 3. The small '1' indicates "first term". So writing [tex]a_2[/tex] represents the second term, then [tex]a_3[/tex] is notation for the third term, and so on.
The second term is found by plugging in n = 2 into the second equation and computing to get...
[tex]a_n = 4*a_{n-1} + 2\\\\a_2 = 4*a_{2-1} + 2\\\\a_2 = 4*a_{1} + 2\\\\a_2 = 4*3 + 2\\\\a_2 = 12 + 2\\\\a_2 = 14\\\\[/tex]
The second term is 14. The steps above basically say: "to get the second term, we multiply the first term by 4, then add on 2"
In other words,
second term = 4*(first term) + 2
second term = 4*(3) + 2
second term = 12 + 2
second term = 14
-----
This can be extended to get the third term
third term = 4*(second term) + 2
third term = 4*(14) + 2
third term = 56 + 2
third term = 58
and finally,
fourth term = 4*(third term) + 2
fourth term = 4*(58) + 2
fourth term = 232 + 2
fourth term = 234
Which set of polar coordinates describes the same location as the
rectangular coordinates (3,0)?
A. (-3,270)
B. (3,0°)
C. (3,180)
D. (3,90°)
Answer:
B.(3.0)
Step-by-step explanation:
took the test
The probabilty that a student owns a car is 0.65 the porbability that a student owns a compuer is 0.82 the probability that a student owns both is 0.55what is the probability that a student owns both and what is the probability that a student owns none
Question: The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82.
a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer?
b. What is the probability that a randomly selected student does not own a car or computer?
Answer:
(a) 0.92
(b) 0.08
Step-by-step explanation:
(a)
Applying
Pr(A or B) = Pr(A) + Pr(B) – Pr(A and B)................. Equation 1
Where A represent Car, B represent Computer.
From the question,
Pr(A) = 0.65, Pr(B) = 0.82, Pr(A and B) = 0.55
Substitute these values into equation 1
Pr(A or B) = 0.65+0.82-0.55
Pr(A or B) = 1.47-0.55
Pr(A or B) = 0.92.
Hence the probability that a student selected randomly owns a house or a car is 0.92
(b)
Applying
Pr(A or B) = 1 – Pr(not-A and not-B)
Pr(not-A and not-B) = 1-Pr(A or B) ..................... Equation 2
Given: Pr(A or B) = 0.92
Substitute these value into equation 2
Pr(not-A and not-B) = 1-0.92
Pr(not-A and not-B) = 0.08
Hence the probability that a student selected randomly does not own a car or a computer is 0.08
how to you divide denominators by numerators?
The total fees for the high school play are
$250. Tickets to the play cost S5 for
students and S8 for nonstudents. Write a
linear inequality that describes the number
of student and nonstudent tickets that nccd
to be sold for the drama class to be able to
pay the fees.
Answer:
250[tex]\leq[/tex]5s+8ns
Step-by-step explanation:
the total fees are $250, meaning they would still be able to make the fees if they'd oversell the tickets.
each tickets is $5 for students; hence the s
each tickets is $8 for nonstudents; hence the ns
you may replace the variable with anything you'd like or what fits the direction.
The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, The total fees for the high school play are $250. Tickets to the play cost $5 for students and $8 for non students.
Let the cost of students be x and that of non student's be y.
According to question,
5x+8y≥ 250
Hence, The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250
For more references on inequality, click;
https://brainly.com/question/28823603
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In the triangle ABC
are drawn two sides
of it, BB1 and AA1.
Those half-edges
intersect at point O.
What is the length of
the semicircular BB1
if B10 = a cm?
Answer:
3a
Step-by-step explanation:
What we have as the point O refers to the centroid of the triangle
The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter
So what we have here is that;
B1O is half the length of BO
So, if B1O is a cm, BO would be 2a
So we have the entire side length measure as;
a + 2a = 3a
HELP PLEASE!
Line 1 is parallel to line 2. Which of the following statements is true?
The Kelly's are having a dinner at a local restaurant. Mr. Kelly wants to give the server is 15% gratuity, and the sales tax is 6.5%. He will use the amount of the bill to find each additional amount. By what percent does the cost of the meal increase with tax and gratuity?
Answer:5
Step-by-step explanation: because it is
Answer:
5
Step-by-step explanation:
im smart lol
Find the mode of the following set of data:
5, 8, 2, 5, 2,5
A 5
B) 2
C 2 and 5
Answer:
A 5 is the mode of the data
Answer:
Option C) 2 and 5
Step-by-step explanation:
Mode :- The only number which appears multiple times
So 2 and 5 appears multiple times...
what is the answer to this?
Answer:
54mm
Step-by-step explanation:
what is the equation of the line that passes through the point (6,3) and has a slope of -1/3
Answer:
y = -1/3x + 5
Step-by-step explanation:
y = -1/3x + b
3 = -1/3(6) + b
3 = -2 + b
b = 5