The number of popcorns that were sold at the concession stand, given the amount made, was 88 popcorns.
How to find the number of popcorns sold ?To find the number of popcorns that were sold, two equations are needed to show the relationship between the popcorn and nachos sold.
The equations assume x is popcorns and y is nachos:
x + y = 172
1.10 x + 2.35 y = 294.20
Using substitution:
y = 172 - x
Solve the second equation:
1. 10 x + 2. 35 ( 172 - x ) = 294. 20
1.10 x + 404. 20 - 2.35 x = 294. 20
- 1.25 x = - 110
x = 88
In conclusion, 88 popcorns were sold.
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The full question is:
At a concession stand, popcorn costs $1.10 and nachos cost $2.35. One
day, the receipts for a total of 172 popcorn and nachos were $294.20.
How many popcorns were sold?
Given that 1kg = 2,2lb (pounds) , express the amount of ground almonds required in the recipe in pounds
The amount of ground almonds needed in the recipe in pounds can be found to be 0. 308 pounds .
How to find the amount in pounds ?The amount of ground almonds needed in the Mixed Berry and Almost Protein cake is 140 g.
In kg this would be :
= Number in grams / Grams to kilograms
= 140 / 1, 000
= 0. 14 g
The amount of ground almonds in pounds is therefore :
= 0. 14 x Pounds per kg
= 0. 308 pounds
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Recipe is
Marieka owns a coffee shop. She serves a mixed berry and almond polenta cake that is baked in espresso cups at her coffee shop. She uses the recipe below to make the cake.
Mixed Berry and Almond Polenta Cake
Makes 15 espresso cups
Ingredients
6 eggs separated (keep the yolks for
mayonnaise or scrambled egg)
140 g butter
140 g castor sugar
140 g ground almonds
250 g fat-free cottage cheese
75 g mixed frozen berries
25 g polenta
Bake at 356 °F until light brown,
Find the surface area of the ball. Use 3.14 for π.
The radius is 14 cm
Answer:
A≈2463.01
Step-by-step explanation:
A=4πr^2 is the formula for a sphere, r being radius
Answer:
nah, do it yourself
Step-by-step explanation:
not even einstein himself could answer such a question
i'm honestly flattered for everyone on this website that we maybe able to help you
90% of the grape was water. After some time, the grape dried and its weight decreased by 600g. If 40% of the grape's total weight was water at this point, what was the initial weight of the fruit?
Answer: You just have to multiply the percent and divide it by the weight.
Step-by-step explanation:
90%*40%= 3600
3600/600= 6 grams
A 4-mile cab ride cost $5.50, and a 9 mile cab ride costs $8.00. Identify two points from this information. Let the total cost of the cab ride represent (y) and the number of miles traveled (x)
Two points which can be identified from this information are; (4, 5.50) and (9, 8.00).
According to the question;
total cost of the cab ride represent (y) and the number of miles traveled (x).In essence, the information provided can be used to provide two points as follows; (4, 5.50) and (9, 8.00).
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which one is stronger: rectangular wire vs round
which one is stronger: beam vs cantilever
When comparing the strength of a rectangular wire versus a round wire, the rectangular wire is typically stronger. This is due to the fact that the rectangular wire has a larger cross-sectional area, which contributes to its overall strength. The rectangular wire's wider and flatter shape allows it to withstand greater force before deforming, making it more suitable for heavy loads and high-stress applications.
In terms of beams versus cantilevers, it is essential to understand the differences between these two structural elements. A beam is a horizontal structural member that is supported at both ends, while a cantilever is a horizontal structural member that is supported only at one end. Beams and cantilevers are used in various applications, such as bridges and buildings.
In general, a beam is stronger than a cantilever, as it has support at both ends, distributing the load more evenly across its length. This means that beams can carry more weight and are less likely to experience deformation or failure when compared to cantilevers. Cantilevers, on the other hand, have a single support, resulting in a higher concentration of stress at the fixed end. This makes cantilevers more susceptible to bending and deflection under heavy loads.
In summary, rectangular wires are typically stronger than round wires, and beams are stronger than cantilevers. Rectangular wires have a larger cross-sectional area, providing greater strength, while beams have support at both ends, allowing them to carry more weight without deforming.
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ASAP! A company makes a profit from selling yo-yos at their store. Each yo-yo sells for $8.00 and they must also pay a store clerk to sell them. This clerk makes a flat fee of $50.00 a day. Write an equation that describes the profit of the store makes in a day.
Answer:
The equation that describes the profit the store makes in a day that X units of yo-yo is sold is P= X × $8.00 - $50.00
Step-by-step explanation:
The information given are;
The price of each yo-yo = $8.00
The only available cost is the store clerk fee cost per day = $50.00
Let us call the number of yo-yo's sold per day as X
Therefore, the amount sold per day = X × $8.00
The company's profit, P = Total sales - Total cost
∴ P= X × $8.00 - $50.00
Therefore, the equation that describes the profit the store makes in a day that X units of yo-yo is sold = P= X × $8.00 - $50.00.
A recent report indicated that 8 1/3% of all residents of a state did not have health insurance. What fraction of residents were uninsured
The given percentage is 8 1/3 %.
\(8\text{ }\frac{1}{3}\text{ \%=8}\frac{1}{3}\times\frac{1}{100}\)\(\text{ Use a}\frac{b}{c}=\frac{a\times c+b}{c}\text{.}\)\(=\frac{8\times3+1}{3}\times\frac{1}{100}\)\(=\frac{25}{3}\times\frac{1}{100}\)\(=\frac{1}{3}\times\frac{1}{4}\)\(=\frac{1}{12}\)\(8\text{ }\frac{1}{3}\text{ \%=}\frac{1}{12}\)
Hence 1/12 of residents were uninsured.
A survey asks a group of students if they buy CDs or not. It also asks if the students own a smartphone or not. These values are recorded in the contingency table below. Which of the following tables correctly shows the expected values for the chi- square homogeneity test? (The observed values are above the expected values.) CDs No CDs Row Total 23 14 37 Smartphone No Smartphone Column Total 14 22 36 37 36 73 Select the correct answer below: CDs No CDs No CDs Row Total 23 14 37 Smartphone 18.8 18.2 14 22 36 No Smartphone | 18.2 17.8 Column Total 37 36 73 CDs No CDs Row Total 23 14 37 Smartphone 19.8 16.2 14 22 36 No Smartphone 20.2 15.8 Column Total 37 36 73 CDs No CDs Row Total 23 14 37 Smartphone 20.8 17.2 14 22 36 No Smartphone 16.2 15.8 Column Total 37 36 73 O CDs No CDs No CDs Row Total 23 14 37 Smartphone 20.8 19.2 14 22 36 No Smartphone 16.2 16.8 Column Total 37 36 73
The correct answer is: CDs No CDs Row Total 23 14 37 Smartphone 20.8 19.2 14 22 36 No Smartphone 16.2 16.8 Column Total 37 36 73 using contingency table.
This table shows the expected values for the chi-square homogeneity test. These values were obtained by calculating the expected frequencies based on the row and column totals and the sample size. The observed values are compared to the expected values to determine if there is a significant association between the two variables (buying CDs and owning a smartphone) using contingency table.
A statistical tool used to show the frequency distribution of two or more categorical variables is a contingency table, sometimes referred to as a cross-tabulation table. It displays the number or percentage of observations for each set of categories for the variables. Using contingency tables, you may spot trends and connections between several variables.
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Need help writing this as an decimal
Answer:
0.75
Step-by-step explanation:
3/4 is also 0.75
1/4 = 0.25
0.25*3 = 0.75
^
The function f(x)=√x is shown on the graph.
6-
5
4
3-
2
-6-5-4-3-2-4₁- 1 2 3 4
---2-
-3-
567x
Which statement is correct?
O The domain of the function is all real numbers
greater than or equal to 0.
O The range of the function is all real numbers greater
than or equal to -1.
O The range of the function is all real numbers less
than or equal to 0.
O The domain of the function is all real numbers less
than or equal to 0.
Answer:
which
Step-by-step explanation:
grease and flour and salt in a few days ago hera tw chaina raicha bhane ma lyauchu la ma herchu you have any questions or concerns please visit the plug-in settings to determine how attachments are handled the situation and I was just wondering I am I
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
The value of x in the equilateral triangle in radical form is \(\frac{10\sqrt{3} }{3}\).
What is the length of side x?The figure in the image is a right an equilateral triangle, meaning all its three sides are equal.
Since all its three sides are equal, each sides is x.
Meaning half of each side is x/2.
Dividing the equilateral triangle into two wqual halves forms a right triangle:
Hypotenuse = x
Leg 1 = 5
Leg 2 = x/2
Using pythagorean theorem, we can solve for x:
( hypotenuse )² = ( leg 1 )² + (leg 2 )²
x² = 5² + ( x/2 )²
x² = 5² + ( x/2 )²
x² = 5² + x²/2²
x² = 25 + x²/4
x² - x²/4 = 25
3x²/4 = 25
3x² = 25 × 4
3x² = 100
x² = 100/3
x = √(100/3)
\(x = \frac{10\sqrt{3} }{3}\)
Therefore, the value of x is \(\frac{10\sqrt{3} }{3}\)
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I need to know how much will my monthly payment be?
Given:
Loan = P = $48,000
Simple interest rate = r = 2% = 0.02
Time = t = 9 years
So,
The interest = I =
\(I=P\cdot r\cdot t=48000\cdot0.02\cdot9=8640\)Total amount =
\(48000+8640=56640\)To find the monthly payments, we will divide the total amount over the number of months of the nine years
so,
The monthly payments =
\(\frac{56640}{9\cdot12}=524.44\)
10. Trudy bought some shirts for school for $18 each. She also bought 2 pairs of jeans
$50($25 each). If she spent a total of $200, what is the most number of shirts she could
buy?
Answer:
Hii okay so the answer would be, 8
Step-by-step explanation:
So she spent $200 and got 2 pairs of jeans that costed $50 for both.
So we subtract 50 from 200 which would be 150. This is the total she has
left to spend on her shirts. So 150 divided by 18 (Remember each shirt cost $18) Would be 8.3, we round to the nearest number and it would be 8. Hope this helps!
4
3
Find the exact length of the third side
-5(2x+3)-x=4(x+11)+1
Write a definition of your choice. Then write the definition as a biconditional.
Answer:
Biconditional statements do not use the key words 'if' and 'then. ' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if. ' For example, the statement will take this form: (hypothesis) if and only if (conclusion).
Step-by-step explanation:
-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
hi, can someone pls double-check my answers and let me know if I got any wrong?? :)
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
Answers: 1. 6 + t
2. 11y
3. 4 - 12
4. 6 / t
5. 25 - 19
6. s + 2s
7. 11 - r
8. 6x + 2s
9. (17 - 12) - 2
10. 3x - 10
11. (7 x 2) / 2
Answer:
They are all right
Step-by-step explanation:
What integer is closet to n
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
Carlos is picking 6/384 apples. Mateo is picking oranges of 10. How much did Mateo pick?
Question might be incomplete or incorrect so we'd have to assume Mateo took apples
Answer:
5/189 apples
Step-by-step explanation:
If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples
If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378
Reduce to lowest terms to get 5/189 apples
11)
Consider the diagram of supplementary angles.
128
5xº
What is the value of x?
A. 10.4
B. 52
C. 61.6
D. 92
Answer:
A. 10.4
Step-by-step explanation:
Supplementary means to add to 180. Take 128 from 180 (180-128) and you get 52. 52/5= 10.4. To check this work you can solve it with the value plugged into the equation. 128 + 10.4(5) = 180, therefore 10.4 is the correct answer.
hi everyone how are you and what is 4 divieded by 12
ookies. OK
How to calculate 12 divided by 4
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.
Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:
12 = dividend
4 = divisor
Step 1:
Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:
4 ⟌ 1 2
Step 2:
The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
4 ⟌ 1 2
Step 3:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
0
4 ⟌ 1 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
4 ⟌ 1 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
4 ⟌ 1 2
- 0
1 2
Step 6:
The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:
0 3
4 ⟌ 1 2
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:
0 3
4 ⟌ 1 2
- 0
1 2
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
0 3
4 ⟌ 1 2
- 0
1 2
- 1 2
In how many ways can five models line up to have their
photograph taken?
F. 120 G. 60 H. 25 I. 20
Answer:
120
Step-by-step explanation:
by using the basic counting rule, there are 5 positions first, then 4, then ,3 and so on down to one. so when you multiply them all together, you get 120. Also i took a test with the same qeustion, and that was the anwer :)
Answer:
120
Step-by-step explanation:
5 times 4 times 3 times 2 times 1= 120
5 choices for first
1 choice already taken so 4 for the other model
3 for the other
2 for the other
and 1 for the other
=120
Its correct, trust me!
A study was begun in 1960 to assess the long-term effects of smoking Cuban cigars. The study was conducted as part of a public health initiative among residents of Ontario, Canada. Five thousand adults were asked about their cigar smoking practices. After 20 years, these individuals were again contacted to see if they developed any cancers, and if so, which ones. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial A major pharmaceutical company is interested in studying the long-term neurological effects of an anesthetic agent that was discontinued ("pulled off the market") in 2000. The plan is to identify patients who received the drug before it was discontinued (via drug administration records) and assess the outcome of subsequent neurological disorder (from physician office visit records) from the years 2010-2020. An effective study design to attempt answering this question would be A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial Investigators are interested in assessing the prevalence of obesity and diabetes among adolescents. They decide to conduct a survey among high school students during their junior year, asking the students about their current weight and whether they have diabetes, among other questions. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial
The first scenario described is an example of a retrospective cohort study. The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.
1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.
2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.
3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.
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You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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when establishing the confidence interval for the average weight of a cereal box, assume that the population standard deviation is known to be 2 ounces and is normally distributed. based on a sample, the average weight of a sample of 20 boxes is 16 ounces. the appropriate test statistic to use is .
Answer:
T-statistic
Step-by-step explanation:
As the sample size is less than 30, the t-statistic is the more appropriate test statistic. If it were greater than 30, then the t-statistic distribution and normal distribution would be indistinguishable, making the z-statistic a more preferable choice.
what are differences or similarities between everyday logic and mathematical logic?
The main difference between everyday logic and mathematical logic is that everyday logic is based on general observations and opinions, while mathematical logic is based on precise statements and facts.
Differences:
- Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
- Everyday logic is often used to make decisions or solve problems in daily life, while mathematical logic is used to solve complex mathematical problems.
- Everyday logic can be subjective and influenced by personal beliefs or experiences, while mathematical logic is objective and follows a set of universally accepted principles.
Similarities:
- Both everyday logic and mathematical logic use reasoning to draw conclusions.
- Both everyday logic and mathematical logic rely on evidence and facts to support their conclusions.
- Both everyday logic and mathematical logic can be used to solve problems and make decisions.
In conclusion, while everyday logic and mathematical logic have some similarities in terms of their use of reasoning and evidence, they differ in their approach and application. Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
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5.Regarding the equations below. What is the value of x?
5x + 2y = 4
x – 3y = –23
Answer:
x=−2
y=7
Step-by-step explanation:
5x+2y=4
x−3y=−23
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x+2y=4,x−3y=−23
To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.
5x+2y=4,5x+5(−3)y=5(−23)
Simplify.
5x+2y=4,5x−15y=−115
Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.
5x−5x+2y+15y=4+115
Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.
2y+15y=4+115
Add 2y to 15y.
17y=4+115
Add 4 to 115.
17y=119
Divide both sides by 17.
y=7
Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.
x−3×7=−23
Multiply −3 times 7.
x−21=−23
Add 21 to both sides of the equation.
x=−2
The system is now solved.
x=−2,y=7
Graph if needed:
can someone please help me with this:
x/4 ≤ -2
which term in the arithmetic sequence 11, 4,-3 . . . is -129?
Answer:
23rd term
Step-by-step explanation:
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