Answer:
The first thing that we have to do is add 33 to both sides to try to reduce the amount of variables on the left hand side.
[tex]\frac{x}{6} - 33 = -27[/tex]
[tex]\frac{x}{6} - 33 + 33 = -27 + 33[/tex]
[tex]\frac{x}{6} = 6[/tex]
Now that we have simplified the left hand side even more we only have one part left to get x by itself which is to multiply both sides by 6.
[tex]\frac{x}{6} = 6[/tex]
[tex]\frac{x}{6} * 6 = 6 * 6[/tex]
[tex]x = 36[/tex]
Therefore, our final answer for what the value of x equals is 36.
Hope this helps! Let me know if you have any questions
Which expression are equivalent to the expression x^2+6x+8
Step-by-step explanation:
x^2+6x+8
x^2+(4+2)x+8
x^2+4x+2x+8
x (x+4)+2(x+4)
(x+4)(x+2)
Enter the value of p so that the expression 18n + 54 is equivalent to 2p (n+3)
Answer:
p = 9
Step-by-step explanation:
The distributive property can be used to factor the given expression.
__
18n +54 = 18(n +3)
Matching this to the desired form, we see ...
18(n +3) = 2p(n +3)
2p = 18
p = 9 . . . . . . . divide by 2
a square prism measuring 4 ft along each edge of the base and 6ft tall
Please help I’ve been stuck on this for hours !!!
Answer C
Step-by-step explanation:
Garrett runs a catering service for large
parties. He needs 27 whole tomatoes for
his salad to feed 120 guests. Write a
proportion which illustrates how many
whole tomatoes, w, he would need to feed
400 guests.
Hello! :D
_________________________________
ANSWER :
90 TomatoesSOLUTION :
You will need x.
So, [tex] \sf{\frac{27}{120} = \frac{x}{400} } \ \\ \\ \ \sf{x = \frac{27 \times 400}{120} =\:} \sf \red{90\:}[/tex]__________________________________
Ambition SuccesWhat’s the circumference to this problem?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=3.142[/tex]
Hope this helps! Let me know if you have any questions
(Geometry)
A circle has a radius of 13.5 cm What is the exact length of an arc formed by a central angle measuring 120 degrees
[tex]\textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=13.5\\\theta =120\end{cases}\implies \begin{array}{llll}s=\cfrac{(120)\pi (13.5)}{180}\implies s=9\pi \\\\\\s\approx 28.27\end{array}[/tex]
Find the perimeter of the polygon. a trapezoid with bottom base of 11 centimeters, top base of 7 centimeters, and sides of 8 centimeters. a. 40 cm c. 28 cm b. 34 cm d. 39 cm
Answer:
b-34
Step-by-step explanation:
add up all the sides
which phrase represents this expression? (30 - 10) × 5
Answer:
100
Step-by-step explanation:
Equations in parentheses get solved first: 30-10=20 and 20x5=100
what is the formula of quadratic using factoring. And explain the formula?
Answer:
Steps to factorize quadratic equation ax2 + bx + c = 0 using completeing the squares method are: Step 1: Divide both the sides of quadratic equation ax2 + bx + c = 0 by a. Now, the obtained equation is x2 + (b/a) x + c/a = 0. Step 2: Subtract c/a from both the sides of quadratic equation x2 + (b/a) x + c/a = 0.
Step-by-step explanation:
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
A) 4/9
B) 1/9
C) 4 1/9
The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.
What is a quadratic equation?It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The expression is x² + x.
Then the constant should be added to form a perfect square trinomial.
Then the constant will be
The square of the half of the coefficient of the variable x is to be added to make a perfect square.
Then the constant will be 1/4.
Then the perfect square will be
[tex]\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2[/tex]
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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the sum of the squares of two consecutive even integers is 884. determine the integers.
Answer:
(2x+1)(1) = 84. 2x+1= 84. 2x = 83.
Step-by-step explanation:
One weekend, 156 students went to see a movie at the local theater.
Their popcorn and drink purchases were recorded in the two-way
table shown.
Popcorn
Total
No Popcorn
Drink
56
67
123
9
T 24
No Drinki
33
80
76
156
Total
What is the relative frequency, rounded to the nearest tenth of a
percent, of students who purchased popcorn?
The relative frequency of students who purchased popcorn in a movie at the local theater is 35.89%.
What is relative frequency?Relative frequency of a event is the measure of something happens relative to the total outcomes of that event.
The relative frequency can be given as,
[tex]f_r=\dfrac{f}{n}[/tex]
Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.
The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.
One weekend, 156 students went to see a movie at the local theater. Their popcorn and drink purchases were recorded in the two-way table shown.
Popcorn No Popcorn Total Drink 56 67 123 No Drink 24 9 33 Total 80 76 156The number of student who purchased popcorn are 56 while the total number of students is 156. Thus, the relative frequency is,
[tex]f_r=\dfrac{56}{156}\\f_r=0.3589\\f_r=35.89\%[/tex]
Thus, the relative frequency of students who purchased popcorn in a movie at the local theater is 35.89%.
Learn more about the relative frequency here;
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In the congruent figures ABCD and WXYZ, which angles are corresponding?
A
A and B
B
B and X
C
A and Y
D
D and W
Answer: B
The letters have the same positions in the figure names.
Increase £15837.77 by 18.5%
if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 15837.77 & 100\\ x& 118.5 \end{array} \implies \cfrac{15837.77}{x}=\cfrac{100}{118.5} \implies (15837.77)(118.5)=100x \\\\\\ \cfrac{(15837.77)(118.5)}{100}=x\implies 18767.76\approx x[/tex]
A shop sells apples and oranges in the ratio 5:2.
It sells apples for 30p and oranges for 40p.
If the shop sells 35 pieces of fruit altogether, how much money does the shop receive? Give your answer in
pounds and pence.
Total money does the shop receive is 0.12 Pound
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
According to the question
A shop sells apples and oranges in the ratio 5:2
Let constant multiple of the ratio as a
Now,
Apples = 5a
Oranges = 2a
Total pieces of fruit sell = 35
i.e
5a + 2a = 35
7a = 35
a = 5
Therefore,
Apples = 5*5 = 25
Oranges = 2*5 = 10
Now ,
Shop sells apples at = 30p
Shop sells oranges at = 40p
Total money the shop receive = 30 * 25 + 40 * 10
= 1150 p
Paisa to Indian rupee : 100p = ₹1
= ₹11.50
Now, Indian rupee to pounds :
1 Indian Rupee equals 0.011 Pound (according to current market value)
₹11.50 is equal to 0.12 Pound
Hence, Total money does the shop receive is 0.12 Pound .
To know more about ratio here:
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I need help on this problem! :)
Find the value of the given equation : 2 (x-1) - 6 =24
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
The probability that the total of the two numbers is more than 32 = [tex]\frac{2}{5}[/tex]
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
What is the formula of combination?[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
For given question,
We have been given five number cards.
Two of the five cards are picked at random.
Using combination formula the possible number of outcomes would be,
[tex]^5C_2\\\\=\frac{5!}{2!(5-2)!} \\\\=10[/tex]
So, n(S) = 10
Let event A : the total of the two numbers is more than 32
A = {(19, 14), (19, 22), (13, 22), (14, 22)}
So, n(A) = 4
Using the formula for probability,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)} \\\\\Rightarrow P(A)=\frac{4}{10}\\\\\Rightarrow P(A)=\frac{2}{5}[/tex]
Therefore, the probability that the total of the two numbers is more than 32 = [tex]\frac{2}{5}[/tex]
Learn more about probability here:
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Write the quotient in repeated multiplication form. Then write the quotient as a power.
[tex]\frac{m^{10} }{m^{5} }[/tex]
The quotient as repeated multiplication is
The quotient as a power is
Answer:
Step-by-step explanation:
m^(10-5) or (m*m*m*m*m*m*m*m*m*m)/(m*m*m*m*m)
m^5
Explain the relationship between a central angle and an inscribed angle in a circle.
in a figure angle theta is the inscribed angle in the circle is half of the central angle 2theta that subtent the same arc on circle.
What is the spheres valume.
Answer: 972π in³
Step-by-step explanation:
We will use the proper formula to solve for the volume of the sphere.
-> The radius (r) is half the diameter. 18 in / 2 = 9 in
V = [tex]\frac{4}{3}[/tex]πr³
V = [tex]\frac{4}{3}[/tex]π(9)³
V = [tex]\frac{4}{3}[/tex] * (9)³ * π
V = 972π in³
The volume is 972π in³
Every person at a party of Eighty-Nine people said hello to each of the other people at the party once. How many "hellos" were said at the party?
Answer:
3916 hello's were said
Explanation:
(n/2)(n-1)
insert n = 89
(89/2)(89-1)
(44.5)(88)
3916 hello's
Answer:
3916 hellos
Step-by-step explanation:
That is the number of combinations of 2 from 89
= 89! / (89-2)! 2!
= 89! / 87! 2!
= 89*88 / 2
= 3916.
what is the interquartille range of the given data set
11, 12, 14, 15. 18. 19. 21, 23. 25, 55
A. 25
B. 9
C. 44
Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. The median is 18.5.
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. The lower quartile is 14.
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. The upper quartile is 23.
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. The interquartile range is 9.
what is the value of C
Answer:
website na para sa di marunong mag math haha cutting study value of c is vintamin C = Glox C
Write your answer as a power.
Answer:
8
Step-by-step explanation:
2 times 4 is 8
Step-by-step explanation:
remember, when multiplying the same base with different exponents, we add the exponents.
when putting exponents to the power of exponents, we multiply the exponents (as simplified shortcut of all the additions we would actually have to do).
((-3)²)⁴ = (-3)⁸
in "slow motion" :
((-3)²)⁴ = (-3)²×(-3)²×(-3)²×(-3)² = (-3)^(2+2+2+2) = (-3)⁸
(-3)² = 9
9⁴ = 6561
(-3)⁸ = 6561
5x+3/-2 =4 what is the value of x
Answer: Hii <3
11/10 is your answer i believe
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hopefully this helps you !
- Matthew ~
Answer:
The value of x = 11/10 or 1.1
Step-by-step explanation:
5x+3/-2 =4
=> 5x -3/2 = 4
=> 5x = 4 + 3/2
=> 5x = (8+3)/2
=> 5x = 11/2
=> x = 11/10 or 1.1
A true-false test has 4 questions. What is the chance of answering all questions correctly by guessing?
Answer:
Thus, in total, there are 24=16 ways to answer the four questions. Only one of these 16 sequences is correct. Assuming each of these 16 sequences is equally likely to occur (as would result from random guessing), the probability that all four questions are answered correctly is 1/16.
Question Number 2 of 20 - Algebra I
Which is an example of the commutative property of addition?
3+5m=5m+3
3+5m=(3+5)m
3+ 5m= 3 + (1 + 4)m 3+5m=3m+5
Answer:
3 + 5m = 5m + 3What is the communitive property of addition?The commutative property of addition means that it does not matter what order in which you add numbers. You will get the same answer either way. It is represented as a + b = b + a, in which a and b are real numbers. However, the property is not limited to two numbers.
How would the communitive property of addition be applied to the expression 3 + 5m = 5m + 3?1) Rearrange terms
3 + 5m = 5m + 3
5m + 3 = 5m + 3
2) Subtract 3 from both sides
5m + 3 = 5m + 3
5m + 3 - 3 = 5m + 3 - 3
3) Simplify
- Subtract the numbers
5m + 3 - 3 = 5m + 3 - 3
5m = 5m + 3 - 3
- Subtract the numbers
5m = 5m + 3 - 3
5m = 5m
4) Subtract 5m from both sides
5m = 5m
5m - 5m = 5m - 5m
5) Simplify
- Combine like terms
5m - 5m = 5m - 5m
0 = 5m - 5m
- Combine like terms
0 = 5m - 5m
0 = 0
This means it has infinite solutions.
But the commutative property addition have been shown.
Write definition ,example ,application for each of the following:
1) Natural Number
2) Whole Number
3) Integer
4) Fraction
Can anyone please tell me what is the meaning of application in this question or it is just a mistake?
Answer:
e watch the meaning of non cooperation
