Answer:
The base is 16 cm long.
Step-by-step explanation:
A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.
A = 1/2 * bh
32 = 1/2 * b * 4
32 = 2b
b = 16cm
Let ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21. Solve for x.
Answer:
5Step-by-step explanation:
Given the following angles ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21, the expression is true about the angles;
∠AOC = ∠BOC+∠AOB
Substituting the given values into the expression, we will have;
21 = x+3+4x-7
collect the like terms
21 = x+4x+3-7
21 = 5x-4
Add 4 to both sides
21+4 = 5x-4+4
25 = 5x
Divide both sides by 5
5x/5 = 25/5
x = 5
Hence the value of x is 5
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Identify the mapping diagram that represents the relationship and determine whether the relation is a function. {(–2, –4), (–1, –4), (3, –4), (6, –4)}
Answer:
PIC 1: Option 2. this relation is a function
PIC 2. Option 1. this relation is not a function
Step-by-step explanation:
To be a function, the domain (x value) can only have one range (y value). But one range can have multiple domain
PIC 1
Function {(-2, -4) (-1, -4) (3, -4) (6, -4)}
This relation is a function
EXPLANATION: each domain only have one range
PIC 2
Function {(-4, -2) (-4, -1) (-4, 3) (-4, 6)}
This relation is not a function
EXPLANATION: each domain has multiple range.
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Lin's uncle is opening a bakery. On the bakery's grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake. 1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning. 2. Jada is the 36th customer. a. Will she get a prize? If so, what prize will she get? b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning. 3. How many prizes total will Lin's uncle give away? Explain your reasoning.
Answer:
1. Diego has to move 2 places back to be 25th .
2.a. Jade is right. She'll get 2 prizes .
2.b.The blueberry muffin and the carrot cake
Step-by-step explanation:
[Every fifth customer will get a free bagel.]`-------
This means that anyone on the line who is a multiple of 5 will get a free bagel. Example- 5th customer,10th customer, or the 15th customer and so on..
[Every ninth customer will get a free blueberry muffin]--------
This means that anyone on line who is a multiple of 9 will get a free blueberry muffin. Example- the 9th customer, 18th customer etc...
[Every 12th customer will get a free slice of carrot cake. ]----------
This means that anyone on line who is a multiple of 12 will get a free carrot cake. Example- the 12th customer, 24th customer, 36th customer etc...
THEREFORE, (ANSWERS TO THE QUESTION)
1. Yes, he is right in order to get the prize. To get at least one prize, he should go two places behind and become the 25th customer {since he s a multiple of 5}.He will get a free bagel.
2.a. Yes, Jade will get a prize. She can get a free blueberry muffin and a free slice of carrot cake .
2.b. Yes, it is possible for Jade to win more than one prize because she is the 36th customer and 36 is a multiple of both 9 and 12
[tex]\\[/tex]
According to the bar graph, how many more pages did the winner of the contest read than the loser? Show your work or explain how you got your answer.
Well look at the question.
It is asking you the total difference between the winners score to their opponents score in the contest.
Going by how the graph looks, approximately:
Javi's scores are 10, 20, 60, 20, and 15.
MeriAnne's scores are approximately 20, 30, 40, 20, and 10.
Add all those numbers up individually for each contestant.
Javi has a total score of 125.
Meri has a total score of 120.
Subtract the total scores from each other, as so:
125 - 120 = 5.
Javi read 5 more pages than Meri.
Need help solving this equation
Answer:
The answer is 4xStep-by-step explanation:
[tex] ({64 {x}^{3} })^{ \frac{1}{3} } [/tex]
To solve the expression convert 64 to exponential form
That's
64 = 4³
So we have
[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } [/tex]
Using the rules of indices
That's
[tex]( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z} [/tex]
So for the above expression we have
[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} } [/tex]
Simplify the expression
We have the final answer as
4xHope this helps you
if 3 divide a profit of rs 72,000 at end of the year according to the ratio of 2:3:4 of their investment how much did they receive
Step-by-step explanation:
Hey, there!!
See explanation in picture.
They receive 16000, 24000 and 32000 as per the ratios 2:3:4.
let x be a common factor,
Then,
2x+3x+4x =72000
sum them,
9x= 72000
x = 72000/9
=8000
Therefore, x= Rs. 8000.
2x= 8000×2 = Rs.16000
3x= 3×8000= Rs.24000
4x= 4×8000= Rs. 32000
You just need to put common factor on the ratios and then sum up them to get the value.
Hope it helps..
What is the domain of the function shown in the
mapping?
O x x= -5,-3,1,2,6}
O fyy=-9,-6,0, 2, 4)
O(|x=-9,-6.-5.-3, 0, 1, 2, 4, 6)
O fyly = -9,-6, -5,-3,0,1.2, 4, 6)
Answer:
{x | x = -5, -3, 1, 2, 6}
Step-by-step explanation:
In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.
In the mapping of the function above, all input values make up the domain of the function.
Thus, the domain is:
{x | x = -5, -3, 1, 2, 6}
THIS NEEDS TO GET DONE FAST! I DONT KNOW HOW TO SOLVE IT!
Answer:
8.5
Step-by-step explanation: it might be wrong btw, but i think its right. the question isnt worded very well
Jones planted s flowers. He planted fewer flowers than Kerry Kerry planted 50 flowers. Write
the expression that shows how many flowers Jones planted.
Answer:
s < 50
Step-by-step explanation:
s must be less than 50
s < 50
please help me on this
Answer:
reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y )
Thus
The given transformation rule (x, y ) → ( - x, y )
Represents a reflection in the y - axis
20 POINTS ! An international company has 17,800 employees in one country. If this represents 22.1% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. Thankyou!
Answer:
80,543 employees total
Step-by-step explanation:
22.1% of total = 17,800 employees
0.221 of x = 17800
0.221 • x = 17800
x = 17800 / 0.221
x = 80542.98643
x ≈ 80543 employees total
find the L.C.M of 154 and 49.
Answer:
LCM=1078
Step-by-step explanation:
49=7×7
154=7×11×2
LCM=7×7×11×2
=1078
Answer:
[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{1078}}}}}[/tex]
Step-by-step explanation:
The L.C.M of any numbers can be obtained by using two methods and they are :
Prime factorization methodDivision methodI am going to find the L.C.M of 154 and 49 by using these two methods :
1. Prime factorization method:
[tex] \sf{154 \: and \: 49}[/tex]
First of all , find the prime factors of each numbers.
[tex] \sf{154 =2 \times 7 \times 11}[/tex]
[tex] \sf{49 \: = \: 7 \times 7}[/tex]
Take out common prime factor i.e 7
Thenafter, also take out the other remaining prime factors : 2 , 11 and 7
L.C.M = Common factors × Remaining factors
= 7 × 2 × 11 × 7
= 1078
------------------------------------------------------------
Next method :
2. Division method
[tex] \sf{154 \: and \: 49}[/tex]
Steps :
⇒ Arranging the given numbers in horizontal position.
⇒Thus, arranged numbers should be divided by a prime number. During this process that prime numbers should divide any two or more given numbers.
⇒Repeat the process till you get prime number as quotient for each number.
⇒The product of all prime factors and last quotients is L.C.M
( see attached picture )
Hope I helped!
Best regards!!
–6 < 2x – 4 < 4 solve the inequality
Answer:
The answer is
[tex] - 1 < x < 4[/tex]Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4[/tex]First of all add 4 to both sides of the inequality to make 2x stand alone
That's
[tex] - 6 + 4 < 2x - 4 + 4 < 4 + 4 \\ - 2 < 2x < 8[/tex]Divide both sides of the inequality by 2 inorder to find x
That's
[tex] \frac{ - 2}{2} < \frac{2x}{2} < \frac{8}{2} [/tex]We have the final answer as
[tex] - 1 < x < 4[/tex]Hope this helps you
1+1=?.........................................
Answer:
Its 11
Step-by-step explanation:
put 2 ones together and u get 11
-Big Brain Moment-
IT TOOK SO LONG FOR ME TO GET THE ANSWER TO THIS QUESTION
X-2
X + 2
3x + 3
4x + 12
3x + 12
X+4
x+1
Which of the
following
represents
the sum of
three
consecutive
integers?
o
o
Which of the
following
represents
the average
of three
consecutive
integers?
o
О
Answer:
1)3x+3
2)x+1
Step-by-step explanation:
1)consecutive integer = x and x+1 and x+2
x+x+1+x+2= 3x+3
2)average= total sum/number of numbers involved.
average = 3x+3
3
= x+1
the sum of n and 7 *
Answer:
n+7
Step-by-step explanation:
Sum means add, so it's just n added to 7:
n+7 :)
Answer:
n+7 is the answer or u can put it in parenthesis (n+7)
Step-by-step explanation:
I need help, please help me
Answer:
See below.
Step-by-step explanation:
The perimeter of a rectangle is simply the distance around the rectangle. The distance will be its two lengths plus the two widths. In other words:
[tex]P=2l+2w[/tex]
We want to solve for l. Therefore:
[tex]P=2l+2w\\2l+2w=P\\2l=P-2w\\l=(P-2w)/2[/tex]
Momo has $4.05 in dimes and quarters. If she has 5 more quarters than dimes,
how many of each does she have? Show your work and write a complete
sentence answer
Answers:
8 dimes13 quarters==================================================
Work Shown:
$4.05 = 405 cents
d = number of dimes
q = number of quarters
q = d+5 since she has 5 more quarters compared to dimes
10d = value in cents of all the dimes
25q = value in cents of all the quarters
10d+25q = total value in cents = 405
10d+25q = 405
10d+25(d+5) = 405
10d+25d+125 = 405
35d+125 = 405
35d = 405-125
35d = 280
d = 280/35
d = 8
She has 8 dimes
q = d+5 = 8+5 = 13
She also has 13 quarters
-------------------------
1 dime = 10 cents
8 dimes = 80 cents (multiply both sides by 80)
1 quarter = 25 cents
13 quarters = 325 cents (multiply both sides by 13)
8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents
This converts back to $4.05, which confirms our answers.
468−[64÷4×(9÷3−4−2)]
Answer:
the answer is 516
Step-by-step explanation:
An urn contains white and red balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are red
Answer:
[r/(w + r)]^4
Step-by-step explanation:
The numbers of the different balls are not given, but here is the solution.
Let w = number of white balls.
Let r = number of red balls.
The total number of balls is w + r.
All drawings have the same probability since there is replacement.
Each drawing has the following probability of drawing a red ball:
p(red) = r/(w + r)
Since there are 4 drawings, and they are all independent events, the overall probability is the product of the individual probabilities.
p(4 red balls in 4 drawings) = [r/(w + r)]^4
To find an actual number, replace w and r with the correct numbers and evaluate the expression.
What is the volume of a certain cube? (1) The sum of the lengths of the edges of the cube is 36. (2) The surface area of the cube is 54.
Answer:
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
Step-by-step explanation:
All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.
To show how,
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
please answer!!! click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve each equation. 5x^2 + 500 = 844.45
Answer:
5[tex]x^{2}[/tex] = 344.45
[tex]x^{2}[/tex] = 68.89
x = ± [tex]\sqrt{68.89}[/tex]
x = 8.3, −8.3
A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this property.
Answer:
The numbers for which the given property hold true are 12 and -7
Step-by-step explanation:
Let the number be [tex]x[/tex].
As per the given statement:
Square of the number ([tex]x^{2}[/tex]) is 84 more than five times of the number ([tex]5x+84[/tex]).
Writing in the equation form:
[tex]x^{2} =5x+84[/tex]
To find:
All the numbers for which above equation holds true.
Solution:
[tex]x^{2} =5x+84[/tex]
Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.
It is a quadratic equation(i.e. maximum power of [tex]x[/tex] is 2) so it will have 2 solutions i.e. 2 values of [tex]x[/tex] for which the above equation will hold true.
[tex]x^{2} -5x-84=0[/tex]
Let us factorize the equation.
[tex]\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }[/tex]
So, the numbers for which the given property hold true are 12 and -7.
Diego and Max are buying soft drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to determine the total cost of the soda. Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas.
Which choices best illustrates who is correct and why?
Max is incorrect because he calculated the cost of one can of soda
Diego is incorrect because he calculated the price of one can of soda
Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas
Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Answer:
D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Step-by-step explanation:
Since every person is expected to drink one can of soda:
Let the price of each can of soda = p
and the total number of people present at the picnic = n
∵ Total price = p(the price of each soda can) * n(number of people)
Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.
what is the interval which consists of all w that satisfy neither $-2(6+2w) is less than or equal to -16$ nor $-3w is greater than or equal to 18$ ?
Answer:57639962993
Step-by-step explanation:398745399883
Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..
Answer:
Suku yang ke Kelima adalah 56
Kerana anda hanya perlu tambah sepuluh sahaja seperti:
Suku pertama:16
Suku kedua:26
Suku ketiga:36
Suku keempat:46
Suku kelima:56
Harap jawapan tersebut adalah betul and Mark me as BRAINLIEST if the answer is right ✨
find the perimeter of an isosceles triangle with side lengths of 5+x, 5+x, and xy. Write in simplest form.
To get the perimeter, you add up all the outer sides
side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy
The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.
If 3x+2=7(3-x), find the value of 26-x-4
Answer:
20.1
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, distribute 7 to all terms within the parenthesis:
7(3 - x) = (7 * 3) + (7 * -x) = 21 + -7x = 21 - 7x
3x + 2 = 21 - 7x
Isolate the variable, x. Subtract 2 and add 7x to both sides:
3x (+7x) + 2 (-2) = 21 (-2) - 7x (+7x)
3x + 7x = 21 - 2
10x = 19
Divide 10 from both sides:
(10x)/10 = (19)/10
x = 19/10 = 1.9
Plug in 1.9 for x in the expression given:
26 - x - 4 = 26 - 1.9 - 4
26 - 1.9 = 24.1
24.1 - 4 = 20.1
20.1 is your value.
~
A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply
Answer:
The stated solution is correct (lengths of 16 feet and 8 feet).
Based on the way the variable is defined, the equation should be x + 2x = 24.
The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
Step-by-step explanation:
Answer: a, b & d !
Step-by-step explanation:
For the function p defined by p(m) = 2m2 - 4m +3, find p(-2).
Answer:
p(m) = 2m² - 4m +3
p(-2) = 2(-2)² - 4(-2) + 3
= 2 × 4 - 4 × (-2) + 3
= 8 + 8 + 3
= 16 + 3
= 19
The value of p(-2) of function p(m) = 2m² - 4m +3 is 19.
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that value of x determines what value of y will be. This relationship can be expressed as follows: y = f (x)
What is quadratic expression?The quadratic expression is defined as an expression containing the highest power of a variable is two.
For the function p defined by p(m) given as :
p(m) = 2m² - 4m +3,
To determine the value of p(-2).
p(m) = 2m² - 4m +3,
Substitute the value of m = -2 in the function,
p(-2) = 2(-2)² - 4(-2) +3,
p(-2) = 2(4) + 8 +3,
p(-2) = 8 + 11
p(-2) = 19
Hence, the value of p(-2) is 19.
Learn more about function here :
brainly.com/question/12431044
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