What is the value of the expression if z=27 7/9z-18+1/3z
Answer:
The value of the expression is 12.
Step-by-step explanation:
Given : Expression [tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex] , where z=27
To find : The value of expression when z=27
Solution :
Given expression:
[tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex]
Substitute value of z=27
[tex]=\frac{7}{9}(27)-18+\frac{1}{3}(27)[/tex]
[tex]=7\times 3-18+1\times 9[/tex]
[tex]=21-18+9[/tex]
[tex]=21-9[/tex]
[tex]=12[/tex]
Therefore, The value of the expression is 12.
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Ricky made 86 phone calls in 3 months. In the first month she made 21 calls, and in the second month she made 19 calls. How many calls did she make in the third month? 21 40 46 65
In the rectangle below, the two quarter circles are congruent. Find the area of the shaded of the shaded region.
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In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions c/a=a/f and c/b=b/e ?
a) the geometric mean (altitude) theorem
b) the geometric mean (leg) theorem
c) the right triangle altitude theorem
d) the SSS theorem
In a right triangle, if we draw an altitude, from the vertex which contains the right angle, to its opposite side, the triangles at both sides of this altitude are congruent and hence congruent to the whole triangle.
The above is called the Right angle altitude theorem.
In PYthagorean theorem, we use the above theorem to prove the proportionate values are equal.
Answer:
It is C
Step-by-step explanation:
Which number makes this sentence true?
21:30=x:50
A. X=30
B. X=32
C. X=35
D. X=41
There are some chickens and goats on a farm. Given that the animals have a total of 50 heads and 140 legs, how many more more chicken than goats are there ?
I've got two of these kinds of problems and no clue how to do them, help please!
square root of 16r raised to the 6
Answer:
4r^3
Step-by-step explanation:
The trick is to look for squared value and then to take them outside the square root but not in squared form.
What is the variance of the following data? If necessary, round your answer to two decimal places.
12, 13, 8, 13, 9, 11, 12, 9, 11
a)2.99
b)3.02
c)3
d)3.01
Marianne buys a house for 150,000 and the value of the house increases at a rate of 1.2% per year.How much will the house be worth in 10 years .Round to the nearest dollar.
Television screens are measured along the diagonal. A certain 53-inch television is 45 inches wide. Which measurement represents the length of the hypotenuse?
Answer:
Step-by-step explanation:
The right answer is 53in
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Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses how much did the roses cost?
Which of the following shows 18/8 as a mixed number and 1 7/12 as an improper fraction?
A) 18/8 = 2 2/8 and 1 7/12=8/12
B) 18/8 = 1 5/4 and 1 7/12 = 1 12/7
C)18/8 = 9/4 and 1 7/12 = 17/12
D)18/8 = 2 1/4 and 1 7/12 = 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
What is improper fraction and mixed number ?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Example 9/4 , 7/2
A mixed number is a number consisting of a whole number and a proper fraction. Example 1 3/8 , 3 1/3
FOR SOLVING THE QUESTION:
Rewriting 18/8 as a mixed number:
8/8=1 whole
So, let's see how many wholes we can get out of 18/8
18/8= (8+8+2)/8
= 8/8 +8/8 + 2/8
=1+ 1+1/4
18/8=2 1/4
Rewriting 1 7/12 as an improper fraction
1 7/12= 1+ 7/12
=12/12 + 7/12
=(12+7)/12
=19/12
Therefore, 1 7/12= 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
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What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4
Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]g(x)=a|x-h|+k[/tex]
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
[tex]f(x)=3|x+4|+1[/tex]
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
7,125,000,000 what is this to the nearest billion
Which expression is equivalent to 56 + 21?
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Find all residues (A) such that (A) is its own inverse modulo 317.
Simpler version: Find all numbers (A) that equal its own inverse modulo 317
To solve for the value of the residues A, we can use the formula:
A^2 = 1 (mod prime)
This is only true for prime numbers. The given number which is 317 is a prime number therefore the values of the residues A are:
A = + 1, - 1
Since I believe the problem specifically states for the list of positive integers only and less than 317, a value of A = - 1 is therefore not valid. However, a value of – 1 in this case would simply be equal to:
317 – 1 = 316
Therefore the residue values A are 1 and 316.
One third of the bagels in a bakery are sesame bagels. There are 72 sesame bagels. Define a variable. Then write and slice an equation to find how many bagels there were in the bakery.
Solve the system of equations.
13x+2y=1
5x-2y=-19
The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?
Which set of steps shows the solution to the equation 2y = −8?
A) y = −8 − 2; y = 6
B) y = −8 ÷ (−2); y = 4
C)y = −8 ÷ 2; y = −4
D) y = −8 − (−2); y = −6
C is correct answered first give me brainliest plus 5 star rating.
Solve 6x2 = 12x − 20.
Every integer is a divisor of itself. A proper divisor of an integer means a positive divisor other than the integer itself. For example, the divisors of $8$ are $1,$ $2,$ $4,$ and $8,$ but the proper divisors of $8$ are just $1,$ $2,$ and $4$.
What is the smallest positive integer whose proper divisors add up to more than the integer itself?
The smallest positive integer whose proper divisors add up to more than the integer itself is 12. Its proper divisors are 1, 2, 3, 4, and 6, which sum up to 16.
Explanation:To understand this problem, we need to find the smallest positive integer whose proper divisors add up to a sum greater than the integer itself.
When we examine numbers, we find that the number 12 fits this description. The proper divisors of 12 are 1, 2, 3, 4, and 6. If we sum these up, 1 + 2 + 3 + 4 + 6, it equals 16, which is more than the number itself, 12.Therefore, the smallest positive integer that meets this condition is 12.
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The value of 34 + 6 ⋅ 5 = ___.