Answer: 75 customers
Step-by-step explanation:
hey! so for this question you have to cross multiply and divide.
1/12 = 900/1 so 1 times 900 is 900 then divide that by 12 which is 75.
Hope this helps!!
81 x 1/9 =
How do you solve this^^^^
First multiply then divide
81÷9
=9
What you do is you make 81 into 81/1 then multiply it by 1/9. you get 81/9 which as a whole number is 9.
The relationship between women’s whole-number shoe sizes and foot length forms an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 3 fits a foot 8 inches long and women’s size 7 fits a foot 91 3 inches long. What is the common difference of the arithmetic sequence?
Answer:
part 1- 1/3
part 2- a.n = 22/3+(n-1)1/3
part 3- size 12
Step-by-step explanation:
The common difference of the arithmetic sequence is 0.5 inches.
To find the common difference of the arithmetic sequence, we can use the given information about the shoe sizes and corresponding foot lengths.
Let's denote the common difference by [tex]\( d \)[/tex]. In an arithmetic sequence, the[tex]\( n \)-th[/tex] term is given by [tex]\( a_n = a_1 + (n - 1)d \)[/tex], where [tex]\( a_1 \)[/tex] is the first term.
Given that a women's size 3 fits a foot 8 inches long, we can consider this as the first term of the arithmetic sequence:
[tex]\[ a_1 = 8 \][/tex]
We are also given that a women's size 7 fits a foot[tex]\( 9\frac{1}{3} \)[/tex] inches long. Since this corresponds to the 5th term in the sequence (because [tex]\( 7 - 3 = 4 \)[/tex] and we start counting from 0), we can write:
[tex]\[ a_5 = a_1 + 4d \][/tex]
[tex]\[ a_5 = 8 + 4d \][/tex]
We know[tex]\( a_5 = 9\frac{1}{3} \),[/tex]which is [tex]\( 9 + \frac{1}{3} \) or \( \frac{28}{3} \)[/tex] inches. Now we can set up the equation:
[tex]\[ 8 + 4d = \frac{28}{3} \][/tex]
To solve for [tex]\( d \)[/tex], we first convert[tex]\( \frac{28}{3} \)[/tex] to a decimal or a fraction with a denominator of 1 to match the units of the other terms:
[tex]\[ 8 + 4d = \frac{28}{3} \times \frac{1}{1} \][/tex]
[tex]\[ 8 + 4d = \frac{28}{3} \][/tex]
[tex]\[ 8 + 4d = 9\frac{1}{3} \][/tex]
[tex]\[ 8 + 4d = 9.333... \][/tex]
Now, we solve for[tex]\( d \)[/tex]:
[tex]\[ 4d = 9.333... - 8 \][/tex]
[tex]\[ 4d = 1.333... \][/tex]
[tex]\[ d = \frac{1.333...}{4} \][/tex]
[tex]\[ d = 0.333... \][/tex]
However, we need to express[tex]\( d \)[/tex] in inches, and since [tex]\( \frac{1}{3} \)[/tex] of an inch is [tex]\( 0.333... \)[/tex]inches, we convert it to a fraction that has a denominator of 2 to match the format of the options given:
[tex]\[ d = \frac{1}{3} \times \frac{2}{2} \][/tex]
[tex]\[ d = \frac{2}{6} \][/tex]
[tex]\[ d = \frac{1}{3} \][/tex]
[tex]\[ d = 0.5 \][/tex]
Therefore, the common difference of the arithmetic sequence is[tex]\( 0.5 \)[/tex]inches."
Eva Maria borrowed money from her father and agreed to pay him 4% simple annual interest. At the end of 7 years, Eva Maria owes $1736 in interest. What amount did Eva Maria borrow from her father?
She had borrowed $248 from her father
Answer:
Step-by-step explanation:
Enter the missing numbers in the boxes to complete the table of equivalent ratios. Number of Servings Liters of Punch 8 2 4 20 7
8 2
? 4
20 ?
? 7
Answer:
8 l 2
16 l 4
20 l 5
28 l 7
Step-by-step explanation:
Half of the liters of punch is 4 so just add 4 to each answer you get but if you get mixed up with numbers start from the begining like 2+2
✧ω✧
To complete the table of equivalent ratios, we need to calculate the missing values based on the given ratios of servings and liters of punch. The ratio between servings and liters is 4:1, so we can use that to find the missing values. For 4 servings, there will be 1 liter of punch, and for 20 servings, there will be 5 liters of punch.
Explanation:To complete the table of equivalent ratios, we need to find the missing values. Let's fill in the missing numbers based on the given ratios:
Number of Servings:
8??20Liters of Punch:
24??From the given values, we can see that the ratio between the number of servings and liters of punch is the same. So, to find the missing values, we need to find a common ratio. Let's calculate:
8 servings / 2 liters = 4 servings / 1 liter
This means that for every 4 servings, there is 1 liter of punch. Based on this ratio, we can find the missing values:
For 4 servings, there will be 1 liter of punch.
For 20 servings, there will be 5 liters of punch.
In one season, the top four players on one major league team had batting averages of 0.332, 0.361, 0.343, and 0.368. Which is the highest average?
the highest average is 0.368
Answer:
0.368 is the highest average.
Step-by-step explanation:
We have been given the batting averages of the 4 top players on one major league team as 0.332, 0.361, 0.343, and 0.368. We are asked to choose the highest average from given choices.
Let us represent our given averages as fractions as:
[tex]\frac{332}{1000},\frac{361}{1000},\frac{343}{1000},\frac{368}{1000}[/tex].
Now we can see that 1st player hit 332 in 1000 at bats, 2nd player hit 361 in 1000 at bats, 3rd player hit 343 in 1000 at bats and 4th player hit 368 in 1000 at bats.
Clearly, 368 is the greatest number of our given choices, therefore, the highest average is 0.368.
what is the maximum value of 5x+2y in the feasible region
Certain clouds form when temperatures fall below -62c. What is the temperature in degrees Fahrenheit? Temperature is_ Greece Fahrenheit.
Solution: The value of temperature is -79.6 degree fahrenheit.
Explanation:
The temperature is given in degree celsius and we have find the temperature in degree fahrenheit. The formula to convert the degree celcius in degree fahrenheit is given below,
[tex]F=32+\frac{9}{5} C[/tex]
Where, F is temperature in degree fahrenheit and C is temperature in degree celsius.
Since it is given that the temperature is -62 degree celsius. So put [tex]c=-62[/tex] in the above formula.
[tex]F=32+\frac{9}{5} (-62)[/tex]
[tex]F=32+\frac{(-558)}{5}\\F=32-111.6\\F=79.6[/tex]
Hence the value of temperature is -79.6 degree fahrenheit.
Let's say that 1/3 of the eggs become cracked. What is the ratio of the number of eggs that have cracked to the number of eggs that haven't?
We can say we have 2 cracked egss and 4 uncracked eggs for a 6 egg total.
The ratio of cracked to uncracked eggs is 2:4 which reduces to 1 to 2.
Hi I need help solving these two questions?
the morning shift at the point grocery store is 6.5 hours long if the cashiers make 10.25 per hour how much do they make each shift
Answer:66.63 is the answer
Step-by-step explanation:
If a(x) and b(x) are linear functions with one variable, which if the following expressions produced a quadratic function?
[tex]ax^2+bx+c[/tex] Is the answer because it has no other side like [tex]ax^2+bx+c=12[/tex]
Find the slope of the line that passes through points (9,8) and (4,-2).
You can find the slope of the two points with the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the corresponding values into the equation.
[tex]m=\frac{-2-8}{4-9}[/tex]
[tex]m=\frac{-10}{-5}[/tex]
[tex]m=2[/tex]
The slope of the line is 2.
The expression in the form 9n
Please help me :(( 35 POINTS!!!
What is the solution to the inequality? Show work!
-2/3 (2x - 1/2)<= 1/5x - 1
A candy store sells mints in 1/4, 1/2 , and 3/4 lb packages. John purchases several packages of each weight.
What is the total weight of each purchase?
Enter a whole number or a mixed number in simplest form to correctly complete the sentence.
6 packages of the 1/4 lb package weigh ___ lb.
8 packages of the 1/2 lb package weigh ___ lb.
7 packages of the 3/4 lb package weigh ___ lb.
For this problem, just multiply the fractions by the amount of packages purchased.
6 * 1/4 = 1 1/2
8 * 1/2 = 4
7 * 3/4 = 5 1/4
the length of a rectangle is 5 less than twice its width. if the perimeter is 26 meters, find the dimensions of the rectangle
The width of the rectangle is 6 meters and the length is 7 meters.
Explanation:To solve this problem, let's assume that the width of the rectangle is represented by w. The length of the rectangle can be written as 2w - 5. The perimeter of a rectangle is given by the formula P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width. We are given that the perimeter is 26 meters, so we can set up the equation:
26 = 2(2w - 5) + 2w
Simplifying this equation gives:
26 = 4w - 10 + 2w
Combining like terms:
26 = 6w - 10
Adding 10 to both sides:
36 = 6w
Dividing both sides by 6:
w = 6
Therefore, the width of the rectangle is 6 meters. To find the length, substitute the value of w back into the expression for the length:
l = 2w - 5
l = 2(6) - 5
l = 7
So the dimensions of the rectangle are width = 6 meters and length = 7 meters.
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The problem is solved by setting up an algebraic equation based on the given pointers about the rectangle's width, length, and perimeter. After solving it, we find that the rectangle's dimensions are: width=6 meters and length=7 meters.
Explanation:
This is a problem of algebra within the subject of Mathematics. The width and length of the rectangle are the unknowns we need to find.
Given in the problem, the length is '5 less than twice its width'. If we denote the width as 'x', the length can be expressed as '2x - 5'. The equation for the perimeter of a rectangle is '2(length + width)', which equals 26 in this case. So we can set up our equation as follows: 2(x + 2x - 5) = 26.Solving this equation step-by-step:
Firstly, unfold the parentheses - 2x + 4x - 10 = 26, Then combine like terms to simplify it into 6x - 10 = 26. Add 10 to both sides of the equation to isolate the term with 'x', which results in 6x = 36. Finally, divide by 6 on both sides to find the value of 'x', so x=6. Substituting x=6 into the expression for the length, we find the length to be 2*6 - 5 = 7.Therefore, the dimensions of the rectangle are width=6 meters and length=7 meters.
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Matthews bother has d dollars. Matthew has 5 more than twice the number of dollars his brother has. If Matthew has $35, how much does his brother have? I will give you 100 points!!
It should be 75 or 15?
The equation to this problem would be (2n+5=d)?
So since Mathew has twice the number of dollars his brother has, you would replace n with 35. 2*35=5=d which equals 70+5=75. But I don't really understand what the question is asking, so it could be 15 too.
Describe the dilation needed to map each pre-image onto each image.
Answer:
(1)- 1/3 (2)- 2 (3)- 1/2 (4)- 4.
Step-by-step explanation:
We have been given four images and their pre-images and we are asked to find out the factor of dilation.
(1) We have been given a triangle ABC, whose center of dilation is A. In order to find out factor of dilation we will see lengths of two corresponding sides. AB is 6 units long and A'B' is two units long. To map triangle ABC on triangle A'B'C' we have to dilate triangle ABC by a factor of 1/3 as 2 is 1/3 of 6.
Therefore, factor of dilation is 1/3.
(2) Let us find the lengths of two corresponding sides of our image and pre-image. Side ST is 6 units long and S'T' is 12 units long. To map our image of quadrilateral on pre-image we have to dilate our image by a factor of 2 as S'T' is 2 times of ST.
Therefore, factor of dilation is 2.
(3) Side QR is 6 units long and its corresponding side Q'R' is 3 units long. We can see that Q'R' is 1/2 of QR so in order to map our triangle QRS on triangle Q'R'S' we have to dilate our pre-image by a factor of 1/2.
Therefore, our factor of dilation is 1/2.
(4) Length of side AB of our image is 2 units and A'B' is 8 units long. 8 is 4 times 2. To map our pre-image ABC on our image A'B'C' we have to dilate our mage by a factor of 4.
Therefore, factor of dilation is 4.
a store advertises a sale as "get 30 percent off your highest priced item when you buy a 2 or more items ". Someone buys items with prices of $30 and $20. Find the percent of discount on the total purchase. Show work
.3 times 30= $9
20 plus 30 is $50 minus $9 which equals $41
Jimmy’s age is one year less than the sum of the ages of his siblings Serena and Tyler. Which equation represents Jimmy’s age? Jimmy’s age is one year less than the sum of the ages of his siblings Serena and Tyler. Which equation represents Jimmy’s age?
The equation that represents Jimmy's age is J = S + T - 1.
Explanation:To represent Jimmy's age, we can use the equation:
J = S + T - 1
where J is Jimmy's age, S is Serena's age, and T is Tyler's age. By subtracting 1 from the sum of Serena and Tyler's ages, we account for Jimmy's age being one year less than theirs. This equation accurately represents Jimmy's age.
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7 times as many as 3,073
find three consecutive integers whose sum is -93
The three consecutive integers will be negative 30, negative 31, and negative 32.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Let the three consecutive integers will be (x - 1), x, and (x + 1).
Then the sum of three consecutive integers whose sum is -93. Then we have
x - 1 + x + x + 1 = - 93
3x = - 93
x = -31
Then the three consecutive integers will be negative 30, negative 31, and negative 32.
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How to work out 189,232÷8
The answer would be 23,654.
Use long divison to figure it out or a calcualtor.
What is |6|-7?
What is |6-7|?
Please answer quickly!
its is -1. Even though the 6 is an absolute value. |6| is just 6-7
the third grade at millbridge school has 179 students. if there are ten more 4th graders than 3rd graders, and thirty more 5th graders than 3rd graders. how many students are in 3rd, 4th, and 5th grade?
179 students in 3rd grade, 189 4th graders, and 209 5th graders. 577 students total!
Answer:
179 students in 3rd grade, 189 4th graders, and 209 5th graders.
Step-by-step explanation:
577 students total
Phillip bought apples from the grocery for $2.20 per pound. If he bought 2.5 pounds of apples on Monday and 1.2 pounds of apples on Tuesday, how much did he spend on apples in total?
Jimmy knows that to pass the fitness test he needs to be able to run 5 kilometers in 35 minutes. His pace monitor measures in miles. If he can run 3 miles in 35 minutes, will he pass his fitness test? Why or why not?
A) Yes, he will pass because he is running 5.2 km in 35 minutes.
B) Yes, he will pass because he is running 8.7 km in 35 minutes.
C) No, he will not pass because he is running 4.8 km in 35 minutes.
D) No, he will not pass because he is running 1.875 km in 35 minutes.
Jimmy, who can run 3 miles (roughly equivalent to 4.8 km) in 35 minutes, will not pass the fitness test as it requires running 5 kilometers in the same period.
Explanation:The question is asking if Jimmy can pass the fitness test of running 5 kilometers in 35 minutes if he can run 3 miles in the same amount of time. In order to answer this question, we need to convert miles to kilometers. One mile is approximately equal to 1.60934 kilometers. So if Jimmy runs 3 miles, that's equivalent to 3 * 1.60934 = 4.82802 kilometers.
Therefore, the correct answer is C) No, he will not pass because he is running 4.8 km in 35 minutes. Despite his good effort, Jimmy is running less than the required 5 kilometers in 35 minutes based on the fitness test standards.
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Jimmy will not pass his fitness test by running 3 miles in 35 minutes, as this converts to approximately 4.82802 kilometers, which is less than the required 5 kilometers. Option C) is the correct answer.
Jimmy needs to know if running 3 miles in 35 minutes will allow him to pass his fitness test, which requires him to run 5 kilometers in 35 minutes. To determine if he will pass, we need to convert miles to kilometers. Since 1 mile is approximately 1.60934 kilometers, we multiply 3 miles by this conversion factor:
3 miles imes 1.60934 km/mile = 4.82802 km
So, Jimmy runs approximately 4.82802 kilometers in 35 minutes. Comparing this to the fitness test requirement of 5 kilometers in 35 minutes:
4.82802 km < 5 km
Thus, Jimmy will not pass the fitness test based on his current pace, as he runs just under the required distance in the allotted time.
The answer to the question is: C) No, he will not pass because he is running 4.8 km in 35 minutes.
Please help!! Trying to understand these. Which of the following inequalities is shown in the graph?
y(line under) <-1/2x+4
y (line under) <4x-1/2
y (line under) > -1/2x+4
y (line under) < 1/2x+4
Answer:
y< -1/2x +4
Step-by-step explanation:
The line crosses the y-axis at +4 and has a slope of -1/2. The shaded area below means that all answers below that line are correct (this is not part of the test answer but it is good information to know)
Hope this helped :)
Calculate the principal from the given interest, rate, and time.
I = $256, r = 8%, t = 1 year
A) $20.48
B) $32
C) $320
D) $3200
__________A) $20.48______
Find the 15th term in the Arithmetic Sequence An = 3n-7
Question 1 options:
7
38
-2
Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11
Question 2 options:
-10
-29
-21
Looking at the figure below, find the 6th term for this pattern:
Question 3 options:
4x - 3
x + 9
x - 4
Given a term in a geometric sequence and the common ratio find the first five terms and the formula representing the nth term. A1 = 4, r = 5
Question 4 options:
First Five Terms: 4, 9, 13, 18, 23;
an=5*4n−1;a1=4
First Five Terms: 4, 20, 100, 500, 2500;
an=4*5n−1;a1=4
First Five Terms: 20, 25, 30, 35, 40;
an=4*5n−1;a1=4
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. How far from the cliff will the penny be at 6 seconds after it is initially dropped?
Question 5 options:
128
150
176
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
Question 6 options:
n = 9
n = 12
n = 60
The answer to this question is on my profile
Answer:
Hello, I was wondering can someone help me with those questions to? I could really use the help! thank you.
Step-by-step explanation: