Answer:
x=3
Step-by-step explanation:
Hello,
The first thing you do is set up your equation, and we are solving for x so we are going to get x by itself on one side of the = sign.
2x/3+1=3 First thing: subtract 1 from BOTH sides.
-1 -1
----------------------
2x/3=2 Multipliy by 3 on both sides
*3 *3
-----------------------
2x=6 Divide by 2 on both sides
/2 /2
-----------------------
x=3
I hope this helped you!!!
A store bought a dining room table at a cost of $478 and marked it up 150%. Later on, the
store marked it down 60%. What was the discount price?
Answer:
$286.80
Step-by-step explanation:
First, find the price after the 150% markup:
478(1.5)
= 717
Now, calculate the price with the 60% discount:
717(0.4)
= 286.8
= $286.80
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?
Answer:
$40.93
Step-by-step explanation:
GivenLinear function of:
14 HCF = $32.6852 HCF = $95.38To find:
19 HCF = ?SolutionLinear equation in slope-intercept form:
y(x) = mx +bWe have points of: (14, 32.68), (52, 95.38):
y(14) = 14 m + by(52) = 52 m +bUsing the points we can find the value of m and b:
m= (y2-y1)/(x2-x1)m= (95.38 - 32.68)/(52 - 14)m = 62.7/ 28m= 1.65Then finding b:
14*1.65 +b = 32.68b= 32.68 - 23.1b= 9.58So the function is:
y = 1.65 x + 9.58Then y(19) is found as:
y(19) = 1.65*19 + 9.58y(19) = 40.93Answer: Cost of 19 HCF of water is $40.93
Write a decimal expansion for 2/9. Chose the correct decimal notation.
Answer:
The answer is
2/9=0.222222222.
If
A = i +3j -2K and B=4i-2j+4k
Find (2A+B).(A-2B)
GIVEN :
a = 1/√10 ( 3i + k) and
b = 1/7 ( 2i + 3j - 6k)
TO FIND :
( 2a- b) . [ ( a x b ) x ( a + 2b)]
SOLUTION :
◆Going with the equation given,
( 2a - b) . [ ( a x b ) x ( a + 2b)]
= (2a - b) [( a×b×a) + 2(a×b)×b]
◆BAC - CAB RULE,
A×B×C = B( A.B ) - C(A.B )
= (2a- b ) [ (b (a.a ) - a (a.b ) + 2b ( a.b) -2b (a.b]
Solving further
= (2a - b )(b - 2a)
= -4a.a -b.b
=-5.
Answer:
( 2 - b) . [ ( a x b ) x ( a + 2b)] = -5
Hoped I helped
Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the right?
Answer:
Median
Step-by-step explanation:
The measure of central tendency is used to represent an entire group of data with a common single number. There are three types of measure of central tendency, the mean , the median and the mode. Our focus here is on the median because in any skewed dataset, The median is the best form for a skewed type of distribution. The median is the middle number in an ordered set of data.
In a skewed type of distribution, the mode is the highest point of the distribution. In the measure of central tendency, the mean is mostly influenced by the outliers and it is pulled towards to the tail region of the distribution.
Use the common ratio to find the next term of the geometric sequence. Type a numerical answer in the space provided.
If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.
120, 60, 30, ...
Answer:
15
Step-by-step explanation:
the common ratio is 1/2 so you do 30(1/2)
30(1/2)=15
If x^2 = 196, what is the sum of the possible values of (x −1)^2?
Answer:
Step-by-step explanation:
x²=196
x=±14
when x=14
(x-1)²=(14-1)²=13²=169
when x=-14
(x-1)²=(-14-1)²=(-15)²=225
sum=169+225=394
Alana makes and sells homemade bracelets. She made a profit of $65 last week. This week, she donated some bracelets to charity. Her profit at the end of this week can be represented by -$25. What is the DIFFERENCE between last week’s profit and this week’s profit?
Answer:
$40 is the difference. One is positive(W1), one is negative(W2). Therefore, you subtract.
Step-by-step explanation:
You subtract week ones profit and week twos profit.
65 - 25 = $40
You subtract because she had a negative profit for week two and/or a profit below 0.
Lincoln is wrapping a rectangular shaped present. The length of the present is 4 inches, the width is 8 inches and the height is 15 inches. How much wrapping paper will Lincoln need?
Step-by-step explanation:
To find the area of the wrapping paper required,
we must find the Total Surface Area of the box
As we know, the TSA of a cuboid= 2 (lh+bh+lb)
Here,
Total Surface Area of the cuboid=
[tex]2(4 \times 8 + 8 \times 15 + 15 \times 4)[/tex]
[tex] = 2(32 + 120 + 60)[/tex]
[tex] = 2(212)[/tex]
[tex] = 414 \: inches^2[/tex]
1 ac =how many millions
1 Acre-feet to Million Cubic Feet = 0.0436
Steve's scores on 6 of his tests were 92, 78, 86, 92, 95, and 91. If he took a seventh test and raised the mean of his scores by exactly 1 point, what was the score on the seventh test? Show your work.
Answer:
96
Step-by-step explanation:
First we need to know the mean of the Steve's scores on 6 of his tests. Given the six scores as 92, 78, 86, 92, 95, and 91.
Mean = sum of the scores/Total test taken
Mean = 92+78+86+92+95+ 91/6
Mean = 534/6
Mean = 89
If he took the seventh test and the mean score is raised by 1 them the new mean will be expressed as;
New mean = 92+78+86+92+95+ 91+x/7 = 89+1
Where x is the new score. Note that of a new score is added, the total year taken will also change to 7
To get x;
92+78+86+92+95+ 91+x/7 = 89+1
92+78+86+92+95+ 91+x/7 = 90
534+x/7 = 90
Cross multiply
533+x = 90×7
533+x = 630
x = 630-534
x = 96
Hence the score of the seventh test is 96
A die is rolled 300 times and following outcomes were recorded.
outcome 1 2 3 4 5 6
frequency 62 45 63 32 47 51
find the probability of getting
1. more than 4
2. less than 3
Answer:
1. 49/150
2. 107/300
Step-by-step explanation:
Here is a probability question.
a. The first question asks us to find the probability of getting more than 4.
Now to do this, we look at our possible results when we roll the die, we can see that we can have 1-6.
But within this range, only two numbers are greater than 4, these are 5 and 6
Thus, to calculate the probability of getting either 5 or 6, we look at their frequencies, sum it up, then divide by the total number of times which the die was rolled.
The frequency of 5 is 47, while that of 6 is 51
The probability of getting more than 4 = Probability of getting 5 + Probability of getting 6 = (Frequency of 5 + Frequency of 6)/Total number of trials
= (47 + 51)/300 = 98/300 = 49/150
b. Probability of getting less than 3
Here, we proceed as we did in the first question. The numbers which are less than 3 are 1 and 2.
So the probability of getting less than 3 = Probability of getting 1 + Probability of getting 2 = (Frequency of 1 + Frequency of 2)/Total number of trials
Frequency of 1 = 62 while Frequency of 2 = 45
So, probability of getting less than 3 = (45 + 62)/300 = 107/300
Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys. 1) Which inequality describes this scenario?
Answer:
Kindly check explanation
Step-by-step explanation:
Kilogram of flour needed to complete holiday order is atleast 175kg
Number of kilograms available = 34kg
Flour comes in bags each contain 23kg of flour
He wants to buy the smallest number of bags as possible and get the amount of flour he needs.
Let F = number of bags of flours Sergei needs to buy
F = (total number of kilograms needed - number of kilograms available) / kilograms per bag
F = (≥ 175 - 34) / 23
F = ≥ 141 / 23 = ≥ 6.1304347
Since flour is purchased per bag, the smallest number of bags he can possibly buy and still get the amount of flour he need = 7 bags
The possible answers are 32, 24, 16, and 8. Please answer ASAP!! :D
Answer:
8 feet
Step-by-step explanation:
The volume of a rectangular prism is [tex]lwh[/tex], where l is length, w is width, and h is height.
We already know the length, width, and volume, so we can easily find the height by substituting these values into the equation, then isolating h one one side.
[tex]96 = 4\cdot3\cdot h\\\\96 = 12h\\\\8 = h[/tex]
Hope this helped!
Solve for s.
s - -37 = 98
Subtracting a negative becomes addition.
S - -37 = 98
Simplify:
S + 37 = 98
Subtract 37 from both sides:
S = 61
Answer:
61
Step-by-step explanation:
98 - 37 = 61
s = 61
A car producer stocks three types of tires: A, B, and C. Let P(A) = 0.40, P(B) = 0.15 and P(C) = 0.45. The percentage of defective tires is 2%, 1% and 5%, respectively.
Someone picks a tire off the shelf at random and it is Brand A.
If you want to know the probability that it is a defective tire (event D), which formula would you use? If you want to know the probability that it is a defective tire (event D), which formula would you use?
a) P(AD)= PD AP(A) PD)
b) P(D|A) = P(A|DP(D) P(A)
c) P(AD)= PD APD) P(A)
d) P(DA)= P(ADP(A) PD)
Answer:
The correct option is b) [tex]P(D|A)=P(A|D)P(D)[/tex].
Step-by-step explanation:
The probability of selecting the different types of tires are:
P (A) = 0.40
P (B) = 0.15
P (C) = 0.45
The defective rate for the different types of tires are:
P (D|A) = 0.02
P (D|B) = 0.01
P (D|C) = 0.05
The formula to compute the probability that the tire is defective given that it is Brand A tire as follows:
[tex]P(D|A)=P(A|D)P(D)[/tex]
Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?
Answer:
y= -⅓x +⅓
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
This form is also known as the point-slope form.
Since the slope is given to be -⅓, m= -⅓.
y= -⅓x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -5, y=2,
2= -⅓(-5) +c
[tex]2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3} [/tex]
Thus, the equation of the line is y= -⅓x +⅓.
1. -4х – 7- 3х + 4 = 25
Answer:x=-4
Step-by-step explanation: combine like terms, add 4 and -7 which is -3 and add -4x and the -3x because they are like terms which is -7x so it should be -7x-3=25. then to get rid of the 3 add it to both sides so it would turn out like -7x=28 then divide the 7 on both sides= 28/ -7= -4
Carla has 10 coins, each of which is a nickel, a dime, or a quarter. The total value of her coins is less than $1.00. How many different
combinations of coins might Carla have?
Note: The values of a nickel, a dime, and a quarter are, respectively, $0.05, $0.10, and $0.25.
Answer:
2 quarters,2dimes,6nickels
How much will it cost to print a circular sign with a radius of 1.5 feet if the printing company charges $29 per square foot? Use A = πr2, where π is approximately 3.14. (Round your answer to the nearest cent.)
Answer:
$204.89
Step-by-step explanation:
Step 1
We have to first find the area of the circular sign.
Since the sign is circular in shape, we use the Area of Circle.
Area of a Circle = πr²
r = 1.5 feet
π = 3.14
Area of a Circle = 3.14 × 1.5²
= 7.065ft² or 7.065 square feet.
Step 2
We find out how much it cost to print the circular sign.
We are told in the question that
The printing company charges $29 per square foot
Hence,
1 square foot = $29
7.065 square feet =
Cross multiply
= 7.065 × $29
=$ 204.885
Approximately to the nearest cent, $204.89
Therefore, it will cost $204.89 to print the circular sign
How to 2-(-5)+1 simplified
Answer:
8
Step-by-step explanation:
We can simplify this expression by solving it.
[tex]2-(-5)+1[/tex]
Subtracting a negative is the same as adding a positive:
[tex]2+5+1[/tex]
And addition here shows that [tex]2+5+1=8[/tex].
Hope this helped!
Answer:
8Step-by-step explanation:
[tex]2-\left(-5\right)+1\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\\\-\left(-5\right)=+5\\\\=2+5+1\\\\2+5=7\\\\= 7+1 \\\\=8[/tex]
Think I might need little assistance
Answer:
x = 90
Step-by-step explanation:
We use the Definition of Corresponding Angles to help us solve for x:
∠1 = ∠4
Step 1: Write out equation
3x - 160 = x + 20
Step 2: Solve for x
2x - 160 = 20
2x = 180
x = 90
Which of the following steps would not be necessary when using the square root property to solve a quadratic equation?
A.After applying the square root property, solve the resulting equations.
B.The square root property may be applied only if the constant is positive
C.When taking the square root of both sides use on the square root of the constant.
D.Isolate the quantity being squared
Answer:
B- The square root property may be applied only if the constant is positive
definition qualitative graph
Answer:
Qualitative data is information about qualities; information that can't actually be measured. Some other aspects to consider about qualitative data:
Represented through pictures that explore the data in a visual way Visual representations focus on the themes found in the data Can tell a story Can also be displayed graphically as a pie chart or bar graph, the same as quantitative data, however, this can be tricky and can be done incorrectly easily
The graphs of linear functions f and g are shown. Enter the solution to the equation f(x)=g(x).
The two diagonal lines cross at (-3,5). We only need to worry about the x coordinate here, so x = -3 is what we're after. If x = -3, then f(x) and g(x) have the same y output meaning f(x) = g(x). That y output is y = 5.
The graph of a sinusoidal function has a maximum point at (0,8) and then has a minimum point at (5,2). Write the formula of the function, where x is entered in radians.
Answer:
y = 3 cos(π/5 x) + 5
Step-by-step explanation:
The amplitude is half the difference of the min and max.
A = (8 − 2) / 2
A = 3
The midline is the average of the min and max.
C = (8 + 2) / 2
C = 5
The difference in the x values of the min and max is half the period.
T/2 = 5 − 0
T = 10
The function is a maximum at x = 0, so use cosine.
y = 3 cos(2π/10 x) + 5
y = 3 cos(π/5 x) + 5
The formula of the function, where x is entered in radians is [tex]\rm y = 3 sin(\dfrac{\pi}{5}x) + 5[/tex] and this can be determined by using the given data.
Given :
The graph of a sinusoidal function has a maximum point at (0,8) and then has a minimum point at (5,2).
The following steps can be used in order to determine the formula of the function, where x is entered in radians:
Step 1 - The generalized sinusoidal function is given below:
[tex]\rm y = A sin(bx) + C[/tex]
where A is the amplitude.
Step 2 - Now, the value of A is given below:
[tex]\rm A = \dfrac{8-2}{2}[/tex]
A = 3
Step 3 - The value of C is calculated as:
[tex]\rm C = \dfrac{8+2}{2}[/tex]
C = 5
Step 4 - The time period is calculated as:
[tex]\rm \dfrac{T}{2}=5-0[/tex]
T = 10
Step 5 - So, the value of y is maximum at (x = 0).
[tex]\rm y = 3 sin(\dfrac{2\pi}{10}x) + 5[/tex]
[tex]\rm y = 3 sin(\dfrac{\pi}{5}x) + 5[/tex]
For more information, refer to the link given below:
https://brainly.com/question/6848432
For a parade, attendance was rounded as 10,000 to the nearest hundred. What was the greatest and least number of people that could have attended the parade? Explain your answer.
Answer:
Greatest = 10,049
Least = 9,950
Step-by-step explanation:
Given that:
attendance was rounded as 10,000 to the nearest hundred
The greatest number of people that could have attended the parade is 10,049, this is because, the digit in the hundred place is 0, hence, since the next digit after 0 is less than 5, all subsequent digits are rounded down to 0 = 10,000.
If the number is goes 1 above 10,049 to 10,050, the rounding to the nearest hundred gives 10,100
The least number of people that could have attended should be 9,950; the digit in the hundred place is 9, since the digit after 9 is up to 5, then it is rounded to 100 and added to 9,900 to give 10,000.
If the number goes 1 less than 9950 to 9949, then rounding to the nearest hundred gives 9900.
A map of a park says its scale is 1 to 100 What do you think that means? Type your answer here
1cm:100m
Step-by-step explanation:
It means for every 1 cm in the map 100 m will be represented correspondingly..
Hence.. 2 cm:200m and so on..
The price of a visit to the dentist is $ 50 $50dollar sign, 50. If the dentist fills any cavities, an additional charge of $ 100 $100dollar sign, 100 per cavity gets added to the bill. If the dentist finds n nn cavities, what will the cost of the visit be? Write your answer as an expression. $ $dollar sign .
Answer:
well you dont have a value of amounts of cavities so ill write write an equation 50+x100 where x represents amount of cavitys
A had $360 more than B. When A spent $144 and B spent half of his money, A had 6 times as much money as B, Find the ratio of the amount of money A had at first to that of B. Find the ratio of the amount of money A had at first to that of B. Give your answer in its simplest form.
Answer:
13:3
Step-by-step explanation:
A=x B=y
first; x= 360+y
later;x= 216+y
A:B
216+y: 1/2y = 6: 1
216+y/y÷2 =6/1
216+y = 3y
y = 108
first; x =360+y
360 +108
468
A:B = 468:108
13:3