Answer:
So number of Adult tickets sold = A = 26.
Step-by-step explanation:
Define A, C, S as
A = number of adult tickets,
C = number of children tickets,
S = number of Senior tickets.
Then, by the statement of the problem, we have that
A = 8 + C,
S = 3C,
3C + 4S + 6A = 426,
so that
3C + 4(3C) + 6(8 + C) = 426
3C + 12C + 48 + 6C = 426
21C + 48 = 426
7C + 16 = 142
7C = 126
C = 126/7 = 18
A = 8 + 18 = 26
S = 3(18) = 54
Calculate the range of change and identify the y-intercept. who ever answer this gets ranked.
Wooden flooring costs £35 per square metre. The floor is then edged with a narrow wooden strip which costs £4 per metre.
How much does it cost for a 6m by 4m room, including the edging?
Answer:
£920
Step-by-step explanation:
We need to find the area of floor to find the cost of the flooring, and then we need to find the perimeter of the floor to find the cost of the edging.
A = LW = 6 m × 4 m = 24 m²
Cost of flooring: 24 m² × £35/m² = £840
P = 2(L + W) = 2(6 m + 4m) = 2(10m) = 20 m
Cost of edging: 20 m × £4/m = £80
Total cost:
£840 + £80 = £920
Find the next term in the geometric sequence that is calculated with a common ratio of 4 if the current term is 4
Answer:
16
Step-by-step explanation:
Multiply the term (4) by the common ratio (4)
4 * 4 = 16
The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?
The question requires calculating the perimeter of the rectangular r ug
The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Given:
let
length of the rectangular r ug = x inches
Width of a rectangular r ug = (2x + 4 1/4) inches
Perimeter of the r ug = 56 1/2 inches
Perimeter of the r ug = 2(length + width)
56 1/2 = 2{x + (2x + 4 1/4)
113/2 = 2(x + 2x + 17/4)
113/2 = 2(3x + 17/4)
113/2 = 6x + 34/4
113/2 - 34/4 = 6x
(226-34) / 4 = 6x
192/4 = 6x
48 = 6x
divide both sides by 6
x = 48/6
x = 8 inches
So,
length of the rectangular r ug = x inches
= 8 inches
Width of a rectangular r ug = (2x + 4 1/4) inches
= 2(8) + 4 1/4
= 16 + 4 1/4
= 20 1/4 inches
Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
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Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty
Answer:
40%
Step-by-step explanation:
Let p and q Represent the following statement
Answer:
symbolic representation :negation q (~q)
plz mark me brinest
Write the Natural numbers after 10,999,11,009,11,001
Answer:
The next three natural numbers after 10999 are 11000,11001, and 11002.
Step-by-step explanation:
Write first natural number after 10999:
10999 + 1 = 11000
Write second natural number after 11000:
11000 + 1 = 11001
Write the third natural number after 11001:
11001 + 1 = 11002
Hence, the next three natural numbers after 10999 are 11000, 11001, and 11002.
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.
0.993
0.007
0.05
0.018
0.004
Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:
[tex]H_0: \mu \leq 220000[/tex]
At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:
[tex]H_1: \mu > 220000[/tex].
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem:
[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]
Then, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]
[tex]t = 2.69[/tex]
We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.
Using a t-distribution calculator, the p-value of the test is of 0.007.
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HELP HELP
Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y
Answer:
m∠Y= 120
Step-by-step explanation:
Given,
FGHI≅WXYZ
m∠H=m∠Y [ Corresponding parts of congruent figures]
m∠Y= 120
Which of the following equations gives the
relationship between the price in dollars, p, and the
number of pieces of salt-water taffy, s, in a bag of salt-
water taffy from Walter's Watery Taffy?
Answer: p=0.25s
Step-by-step explanation: I am taking the test to
The correct equation is p = ms + b, where m and b are constants.
This equation represents a linear relationship between the price p and the number of pieces of salt-water taffy s. The constant m represents the slope of the line, and the constant b represents the y-intercept.
The other equations are not correct because they do not represent a linear relationship. For example, the equation p = [tex]s^2[/tex] represents a quadratic relationship, and the equation p = s/2 represents a linear relationship with a slope of 1/2.
Here is a brief explanation of why the correct equation is p = ms + b.
The price p is a linear function of the number of pieces of salt-water taffy s. This means that the price increases at a constant rate as the number of pieces of salt-water taffy increases.
The constant m represents the slope of the line. The slope of the line tells us how much the price increases for every additional piece of salt-water taffy.
The constant b represents the y-intercept. The y-intercept tells us the price when the number of pieces of salt-water taffy is 0.
Therefore, the correct equation is p = ms + b.
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The video advises you to "be a deadbeat". What does that mean?
Pay your credit card bill in full and on time every single month, thus paying no interest or fees.
Make the minimum payment on your credit card on time each month.
Never open a line of credit so the credit card companies do not make any money.
Answer:
Pay your credit card bill in full and on time every single month, thus paying no interest or fees.
Step-by-step explanation:
In terms of credit-cards, a deadbeat is someone who pays off their bill in full every month, on time. They usually try to avoid paying their debts.
Hence, pay your credit card bill in full and on time every single month, thus paying no interest or fees.
What is the payment?Payment is the exchange of cash, products, or services for a good or service.
Payments are normally made once all parties have concurred on the conditions.
You won't be charged interest or late fees if you pay off your credit card balance in whole and on time each month.
When it comes to credit cards, a deadbeat is someone who consistently pays their balance in full and on time each month.
Deadbeat - one who often avoids paying their own bills or expenditures
Typically, they make an effort to not pay their bills.
Hence, whenever possible, pay off your credit card balance in whole and on schedule to avoid paying interest or other costs.
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kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?
Answer:
$471.90 dollars
Step-by-step explanation:
First, we need to find out how many hours she's working.
There are 60 minutes in an hour so 15/60 is 0.25.
Thus, adding that to the 30 hours gives us 30.25.
If she makes $15.60 per hour we just multiply that by 30.25 hours and get the answer.
[tex]\frac{15.60}{hour}*30.25 hours = 471.9\\[/tex]
The [tex]\frac{}{hour}[/tex] comes from the wording of per hour, and since the unit is in the denominator, when we multiply it by the 30.25 hours, the units cancel out. Thus all we are left with is the amount of dollars made, which is $471.90.
At the bus station, buses depart a rate if 3 every 10 minutes. At the rate, how many buses would you expect to depart in one one hour?
A. 6
B. 15
C. 18
D. 30
Answer:
C.18
Step-by-step explanation:
at the rate 18 buses would have departed
Clear Plumbing charges a flat fee of $28.50 for a repair trip and $38. 50 per hour for labor. What is the total cost of a repair job that takes 3.5 hours?
Answer:
163.25
Step-by-step explanation:
38.50x3.5= 134.75
134.75+28.50= 163.25
38.5 per hour which explains 38.5x3.5= 134.75
28.50 is a one time fee so you add that to the total of hours 134.75+ 28.50= 163.25 in total.
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Answer:
260°Step-by-step explanation:
We need to find the value of angle x:
x = m∠BCG + m∠DCGFind the angles BCG and DCG, considering BA, CG and DE are parallel lines:
m∠DCG = 180° - m∠CDE = 180° - (360° - 312°) = 132°m∠BCG = 180° - m∠ABC = 180° - 52° = 128°Find x:
x = 132° + 128°x = 260°Pls help I’ll brainlest
Answer:
Here are the unscramabled words
Step-by-step explanation:
1. Observation
2. Hypothesis
3. Results
Thank you! Please Brainliest! :)
please help and explain how to solve these! Thanks
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing sides in the triangles.
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]
Q2. [tex]c^{2}[/tex] = 8^2 + 40^2
[tex]c^{2}[/tex] = 1664
c = [tex]\sqrt{1664}[/tex]
c = 8[tex]\sqrt{26}[/tex]
Find the missing sides of the other triangles and figure out which ones are the same.
Q3. Do the same thing as Q2.
******Please help me help please help me ******
9514 1404 393
Answer:
-19/7
Step-by-step explanation:
If the variation is direct, any multiplier of the m-value will also multiply the f-value.
old value × 1/7 = new value
m: 14 × 1/7 = 2
f: -19 × 1/7 = -19/7
The new value of f is -19/7.
How many phone numbers without area codes are possible? the first digit cannot be zero or one.
Dave determines the meal he ordered at the restaurant contains 29% of his daily
sodium intake. If the meal contains 251 mg of sodium, how many mg of sodium are in
Dave's daily diet?
solve pls brainliest
Step-by-step explanation:
-185-2004=-2189///2189ft lower
-185+469=284
(I think I did this once)
PLEASE HELP :(
Which order do these go in?
Will mark BRAINLEST
Answer:
1 - 5
2 - 3
3 - 8
4 - 1
5 - 2
6 - 7
7 - 4
8 - 6
Step-by-step explanation:
the 10th term of an arithmetic sequence is 57 and the seventh term is 447 find the common difference and the first term
Answer:
232
Step-by-step explanation:
Complete the following.Write the answers in your journal
I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium
Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____
Answer:
1.FILTER WATER 2.FILTER CLOTH
3.LIQUIDS
4.INSOLUBLE
5.DIFFERENCE
Please answer asap
Please
Please
Step-by-step explanation:
Standard form:
y = ax² + bx + cVertex form:
y = (x - h)² + kIdentity used:
(a ± b)² = a² ± 2ab + b²6 - 7)
Standard to vertex form conversion by completing the square
y = x² - 3x + 16
= x² - 2*1*3/2 + (3/2)² - (3/2)² + 16
= (x - 3/2)² - 9/4 + 16 =
= (x - 1.5)² + 13.75
8 - 9)
Same as above
y = x² - 2x + 3
= x² - 2*1*x + 1² - 1² + 3
= (x - 1)² + 2
10 - 12)
Vertex to standard for conversion by opening parenthesis and simplification
y = (x - 11)² + 15
= x² - 22x + 121 + 15
= x² - 22x + 136
13-15)
Same as above
y = (x - 4)² + 11
= x² - 8x + 16 + 11
= x² = 8x + 27
Has a slope of 4 and passes through (-2, 4)
Answer:
y = 4x + 12
Step-by-step explanation:
y = mx + b
m = slope = 4
substitute the point (-2, 4) as (x, y)
4 = 4(-2) + b
4 = -8 + b
12 = b
Hope this helps! Pls give brainliest!
The equation of line is y= 2x+ 8.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Slope= 2
and, Passes through (-2, 4)
So, using the slope- intercept form is
y= mx+ b
4 = 2(-2)+ b
4 = -4 + b
b=8
And, the equation of line is
y= mx+ b
y= 2x + 8
Hence, the equation of line is y= 2x+ 8.
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PLEASE HELP ASAP I WILL GIVE BRAINLIEST AND 100pts!!!!!!!!!!!!!!!!!!!!!!!!!!
he following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.
Which of the following data sets is represented in the histogram?
{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}
Answer:
will this help?
Answer:
A.
Step-by-step explanation:
"andrea sells cell phones in sydney, but never on sunday. she is paid 3500 a month plus 20% of her monthly sales. she needs to earn atleast 4800 a month to pay for her rent, food, fun, and other life essentials. to afford her lifestyle, what amount of sales will andrea need to achieve?"
Answer: Answer. $6500.
Step-by-step explanation:
The equation to solve it is
3500 + 0.2*x = 4800,
Simplify and solve it:
0.2x = 4800 - 3500,
0.2x = 1300,
x = 1300%2F0.2 = 6500.
A penny weighs 0.8oz A stack of 20 pennies is 4.3cm in theory, how tall is a stack on 1 ton of pennies?
Answer:
Step-by-step explanation:
16 oz = 1 lb0.8 oz = 0.05 lb = 1 penny1 ton = 2000 lbs2000 x 20 = 40,000 pennies its all about conversions#SPJ2
Your mother drives 60 minutes at a constant speed of 40 miles per hour. She then speeds up, and drives for another 30 minutes at a constant speed of 70 miles per hour. How many miles does your mother travel all together? How long did the trip take?
Answer: written below
Step-by-step explanation:
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
40+35=75 miles
60 minutes+30 minutes= 90 minutes or 1 1/2hours
