\(\frac{2}{9}x - \frac{1}{3} = -1\)
\( \large \mathfrak{Solution : }\)
let's solve for x :
\( \dfrac{2}{9} x - \dfrac{1}{3} = - 1\)\( \dfrac{2}{9} x = - 1 + \dfrac{1}{3} \)\( \dfrac{2}{9} x = \dfrac{ - 3 + 1}{3} \)\(x = \dfrac{ - 2}{3} \times \dfrac{9}{2} \)\(x = - 3\)I hope it helped...
Answer:
x= -3
Step-by-step explanation: both sides +1/3 so that the -1/3 gone
2/9x-1/3= -1
= 2/9x= -1+1/3
=2/9x= -2/3
=-3
When there is no outlier is thebetter measure of center for a set of data
Median
Mode
Range
None of the above
Answer:
Median
Explanation:
The median is the middle number. This answer fits best with the question asked.
The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.
The range is just how many numbers the data spans across. It has no relation to the middle of the data.
Help!!! I need to check my work! If point A is reflected over the y- axis, find the location of the resulting point, A’
The coordinates of the reflected point A' is (5, 3)
As per the given data:
The point A is reflected over the y-axis, and we have to find out the position of the resulting reflected point A'.
From the given graph in the diagram, we can easily out the x and y coordinates of the point A.
x-coordinate of A = -5
y-coordinate of A = 3
After reflection about the y axis the sign of the x coordinate will be reversed and the y coordinate will remain the same.
For the point A'
x-coordinate of A' = 5
y-coordinate of A' = 3
Hence, the coordinates of the reflected point A' is (5, 3)
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HELP PLS
Figure AAA is a scale image of figure BBB.
Figure AAA maps to figure BBB with a scale factor of \dfrac{2}{3}
3
2
start fraction, 2, divided by, 3, end fraction.
What is the value of xxx?
Ellie got a new job; the pay structure is described below. How much money will Ellie make in a week where she works 25 hours and has $3500 in sales. Hourly Pay Rate $14.50. Comission 9%.
Answer:
$677.50
Step-by-step explanation:
you will need to find the amount she makes first which will be the 25 hours x the pay rate which is 14.50 that will be $362.50 then you will need to find the comission % which will be
3500=100
? = 9
cross multiply then you get $315 add the two answers together to get $677.50
Is this correct? If not, please correct it, and show all work including why it’s wrong.
Answer:
a. 12
b. 1/2
Step-by-step explanation:
Given a meal has 3 choices of meat, 2 choices of fruit, and 2 choices of dessert, you want to know the number of possible meals, and the probability of a meal with no cookie for dessert.
a. PossibilitiesAs the tree diagram shows, the number of possible meals is ...
(possible meats)×(possible fruits)×(possible desserts)
= 3×2×2 = 12
There are 12 possible lunch options.
b. CookiesHalf the possible dessert choices have no cookie. That is the probability that a lunch will have no cookie:
P(no cookie) = 1/2
__
Additional comment
The bottom line of the tree diagram has 6 Cs and 6 Ms. That is, 6 of the 12 options for meals have no cookie.
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Together, Matthew and Daniel have 67 DVDs. Matthew’s collection has 3 times as many DVDs as Daniel’s collection. Which equation can be used to determine the number of DVDs in Daniel’s collection?
A. 3x - x = 67
B. x + x = 67
C. 3x + x = 67
D. 3x = 67
Answer:
C. 3x + x = 67
Step-by-step explanation:
Means Mathew has 3 units and Daniel has 1 unit.
There's 4 units in total.
4x = 67
3x + x = 67
3x is Mathew's DVDs
x is Daniel's DVDs
I will give brainlisted for the correct answer!
ASAP!!!!!!!
This graph represents a linear function
select the equation represented by the graph
Answer: \(y = \frac{1}{4} x - 1\)
Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where
m = \(\frac{rise}{run}\) = the slope of the linear functionb = the y intercept.In our case,
m = \(\frac{rise}{run}\) = \(\frac{1}{4}\)b = -1help and don’t make fun of me for not knowing this
Answer: 15 adult tickets 23 senior tickets 69 student tickets
answer is yes because she sold 107 tickets overall
Step-by-step explanation:
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
Need answer as fraction or however it is, need asap
Answer: 1 byte45 or 1^45
Step-by-step explanation:
this is, science, reading,math,his,and computer app
Answer:
Step-by-step explanation:
For the Greece one its B
For the Federalist one its B
For the science one its B
For the math one its C
For the Computer App one its B
Brayden is selling lemonade in glasses that hold of a gallon? If he makes gallons of lemonade, which expression shows how many glasses he can sell?
a. 2 7/8 ÷ 12
b. 1/12 ÷ 2 7/8
c. 2 7/8 ÷ 1/12
d 1/12 ÷ 8/23
Answer:
2 7/8 ÷ 12
Step-by-step explanation:
Divide the amount of lemonade made by the amount that each glass can hold.
Which number sentence is true?
Answer:
D
Step-by-step explanation:
A)
\(9.12 \times {10}^{3} = 9120\)
\(1.29 \times {10}^{4} = 12900\)
\(12900 > 9120\)
False
.
B)
\( \sqrt{39} ≈6.25\)
\(5.3 < 6.25\)
False
.
C)
\(2 \frac{5}{9} ≈2.56\)
\(2.56 < 2.65\)
False
.
D)
\( - 21.3 > - 32.1\)
True
Answer:D
Step-by-step explanation:
Which three measurements could be the lengths of the sides of a triangle?
25 feet, 30 feet, 60 feet
40 feet, 60 feet, 70 feet
40 feet, 175 feet, 220 feet
80 feet, 150 feet, 230 feet
Answer: 40 feet, 60 feet, and 70 feet.
The lengths of the sides of a triangle can be 40 feet, 60 feet, 70 feet.
What is Triangle Inequality?According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length.
Given:
As, the sum of two sides of the Triangle is greater than third side.
1. 25 feet, 30 feet, 60 feet
Then, 25+ 30 <60
2. 40 feet, 60 feet, 70 feet
40+ 60 > 70
60+ 70>40
70+ 40 > 60
3. 40 feet, 175 feet, 220 feet
40+ 175 < 220
4. 80 feet, 150 feet, 230 feet
80+ 150 = 230
Hence, the lengths of the sides of a triangle can be 40 feet, 60 feet, 70 feet.
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(CORRECT ANSWER GETS BRAINLIEST.)
Mrs. Brim made a chart to see how long it took her students to finish a test. Which statement below is a reasonable conclusion based upon the information in the histogram?
A.50% of the students took longer than 31 minutes to finish the test. B.The exact time it took the students to finish the test is not indicated. C.The boys in the class completed the test faster than the girls. D.The test was easy.
Answer:
Step-by-step explanation:
Based on the information in the histogram, a reasonable conclusion would be that the exact time it took the students to finish the test is not indicated. Therefore, option B is the correct answer.Mrs. Brim made a chart to see how long it took her students to finish a test. However, the chart or histogram only shows how many students took a certain amount of time to finish the test and not their exact finishing time. Therefore, it's not possible to determine how long each student took to finish the test accurately.
Hope this helps! :)
The circle graph shows the visitors at Ms. Chompson’s bakery last month. There were a total of 360 visitors last month. Show your work to find the answers below. Give a number, not the percent.
a) How many visitors last month were age 18 and under? ____________
b) How many were between the ages of 19-44? _____________
Answer:
15
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
55.
There are about 0.62 miles in one kilometer. If Darnell is running
a race that is 5.5 kilometers long, about how many miles is the race?
Did you multiply or divide to find your answer?
Answer: There are 3.41 miles in the race and I multiplied 0.62 by 5.5.
Step-by-step explanation:
PLEASE HELP A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.
Answer:
Part A : see composition process below
Part B : \(Domain=\{x\,|\,x\neq 0\}\)
Step-by-step explanation:
Part A
Let's use the composition of functions to find if they give the identity : \(f(g(x))=x\) thus proving they are the inverses of each other:
\(f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x\)
So we have proved they are the inverses of each other.
Part B
Given that the composition is:
\(f(g(x))=\frac{1}{\frac{1}{x} }\)
the Domain must exclude x=0, for which this quotient is undefined.
The Domain is then:
\(Domain=\{x\,|\,x\neq 0\}\)
Find the value of x.
Answer: The letter x is often used in algebra to mean a value that is not yet known. it is called a variable or somethings an unknown in x + 2 = 7, x is a variable but we can work out its value if you try a variable does not have to be x though it could be y or w, or any letter, name or symbol. See: variable
Step-by-step explanation: and that's it! have a yummy cookie day! ◑﹏◐
help! i dont this math problem please due soon!
Answer:
12x12 12x6 H = 46cm
Step-by-step explanation:
took quiz
Answer:
46 cm
Step-by-step explanation:
I learned this formula in math last year
HELP PLSSSS 35 POINTS!!
A delivery truck weighs 5.6 tons before it is loaded with packages. Once the delivery truck is full of x packages it weighs 6.0 tons. Each package in the truck weighs 0.00625 tons. How many packages are on the truck?
Answer:
23
Step-by-step explanation:
Answer: 64 packages
Step-by-step explanation:
Weight before packages = 5.6 tons
Weight when it is full of packages = 6 tons
x = 6-5.6 = 0.4
Number of packages = 0.4/0.00625 = 64
Checking:
64x0.00625 = 0.4
0.4+5.6=6.0 tons
if you rolled two dice what is the probability that you would roll a sum of 10
The probability of rolling a sum of 10 with two dice is 1/12.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that two dice are rolled and find the probability of a sum of 10.
The sample space of the event of rolling two dice is
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
The total possible outcomes is 36.
The favorable outcomes that is the outcomes where the sum is 10 is
(1, 4), (2, 3), (3, 2).
The number of favorable outcomes are 3.
To find the probability of rolling a sum of 10 with two dice, write the sample space and then determine the number of favorable outcomes that is the outcomes where the sum is 10 and the total number of possible outcomes.
The formula to find out the probability of any event is:
\(\text{P(event)} = \dfrac{(\text{number of favorable outcomes})}{\text{total number of possible outcomes}}\)
By using the data and formula, the probability of rolling a sum of 10 is,
\(\text{P(event)} = \dfrac{(\text{number of favorable outcomes})}{\text{total number of possible outcomes}}\)
\(\text{P(rolling a sum of 10)} = \dfrac{3}{36}\)
On dividing both numerator and denominator by 3 gives,
\(\text{P(rolling a sum of 10)} = \dfrac{1}{12}\)
Hence, the required probability of rolling a sum of 10 with two dice is 1/12.
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The probability that you would roll a sum of 10 if you rolled two dice is 1/12.
We need to consider all the possible outcomes and count the favorable outcomes to determine the probability of rolling a sum of 10 when rolling two dice.
When rolling two dice, each die has six possible outcomes, ranging from 1 to 6. To find the total number of outcomes, we multiply the number of outcomes for each die: 6 * 6 = 36.
Next, we need to count the number of favorable outcomes, which are the combinations of two dice that result in a sum of 10. These combinations include:
1. Rolling a 4 on the first die and a 6 on the second die: (4, 6)
2. Rolling a 5 on the first die and a 5 on the second die: (5, 5)
3. Rolling a 6 on the first die and a 4 on the second die: (6, 4)
There are three favorable outcomes.
Therefore, the probability of rolling a sum of 10 when rolling two dice is:
Probability = (Number of favorable outcomes) / (Number of total outcomes) = 3/36 = 1/12.
Hence, the probability is 1/12.
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HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
A function with an input of 1 has and output of 3. Which of the following could NOT be the function equation?
1. y= 3x
2. y= x+2
3. y= 4x-3
4. y= 4x-1
Answer:
The answer is 3
y=4x-3❌
Step-by-step explanation:
1)y=3x=3(1)=3✅
2)y=x+2=1+2=3✅
3)y=4x-3=4-3=1❌
4)y=4x-1=4-1=3✅
Jeff spends $2.52 per gallon of gas and buys 14 gallons. Anna spends $2.16 per gallon of gas and buys 15 gallons.
How much more does Jeff spend than Anna on gas?
Step-by-step explanation:
Jeff spends $2.52 per gallon and buys 14 gallons, so his total expenditure is:
Total spent by Jeff = $2.52/gallon * 14 gallons = $35.28
Anna spends $2.16 per gallon and buys 15 gallons, so her total expenditure is:
Total spent by Anna = $2.16/gallon * 15 gallons = $32.40
To find the difference in their expenditures, we subtract Anna's total from Jeff's total:
Difference = Total spent by Jeff - Total spent by Anna
Difference = $35.28 - $32.40 = $2.88
Therefore, Jeff spends $2.88 more than Anna on gas.
pls help me if u can and ty a lot
Answer:
k = 5.25
Step-by-step explanation:
y is directly proportional to x
y∝x
y = kx where k is the constant
if y is 84 and x is 16,
84 = 16k
k = 84/16 = 5 4/16 = 5.25
k = 5.25