Answer:
6p + 7c = 50
4p + 5c = 34
(where p is the number of pizzas and c is the number of bags of chicken wings)
We need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.
Step-by-step explanation:
Let p = number of pizzas
Let c = number of bags of chicken wings
Equation 1
Given:
Pizza = $6Bag of chicken wings = $7Total spend = $50⇒ 6p + 7c = 50
Equation 2
Given:
Pizza = 4 servingsChicken wings = 5 servingsTotal servings needed = 17 × 2 = 34⇒ 4p + 5c = 34
Equation 3
Multiply Equation 2 by 1.5:
⇒ 6p + 7.5c = 51
Subtract Equation 1 from Equation 3 and solve for c:
⇒ 0.5c = 1
⇒ c = 2
Substitute found value of c into Equation 2 and solve for p:
⇒ 4p + 5(2) = 34
⇒ 4p + 10 = 34
⇒ 4p = 24
⇒ p = 6
Therefore, we need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.
Graph the line.
x = 3
Explanation: I would do this problem by setting up a chart.
For the equation x = 3, if we set up a chart for x and y,
since x must be equal to 3, the random values we
choose in this problem are not for x, they are for y.
If we had an equation like y = 2x + 3, then we would pick values for x
and plug them into the equation to get y, but here, x is our only value.
So let's choose the values 1, 0, and -1 for y.
For each of these values, x must be equal to 3.
So we have the points (3, 1), (3,0), and (3, -1).
Notice that our graph is a vertical line, as I showed this below.
Brittany uses a stopwatch to time how long it takes each day for her school bus to travel from her house to school. She finds that the times are distributed normally, with a mean of 21 minutes and a standard deviation of 2 minutes. If there are 180 school days each year, approximately how many times in Brittany's four years of high school will the school bus take more than 27 minutes to travel from Brittany's house to school? A. 18 B. 36 C. 1 D. 4
Answer:
C
Step-by-step explanation:
We start by calculating the z-score of 27 minutes
Mathematically z-score = (x-mean)/SD
FROM the question, mean = 21 and SD = 2
so z-score = (27-21)/2 = 6/2 = 3
The probability we want to calculate is P(z > 3)
we proceed to the standard normal distribution table to get this
P(z > 3) = 0.0013499
Now seeing this, we want to calculate the number of days.
Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days
The number of days in which the school bus took more than 27 minutes will be ;
720 * 0.0013499 = 0.971928 which is approximately 1
Answer:
C.1
Step-by-step explanation:
On edmentum this is correct.
What is 2 and 3 mix together?
Answer:
if you mean by addition its 5 and if its multiplication then its 6
Step-by-step explanation:
Pharaoh has 240 color pencils. Of those pencils, there are red pencils and green ones. The numbers of red pencils are three times as many as the green pencils. How many red pencils?
Answer:
80 red pencils
Step-by-step explanation:
240/3=80
Help !!!! Its A Math Question . . A regular polygon with n sides has ____ lines of symmetry.
Question options:
10
100
n
0
Answer:
The number of line symmetry in a regular polygon of n sides is 'n'. For example a regular pentagon has 5 line symmetry,Hexagon has 6 line symmetry etc.
Step-by-step explanation: hope this help =)
Answer:
n
Step-by-step explanation:
A regular polygon with n sides has ____ lines of symmetry.
A square has 4 lines of symmetry
A pentagon has 5 lines of symmetry
A n-agon will have n lines of symmetry
EASY MATH QUESTION PLEASE HELP:
Step-by-step explanation:
a, b, c are real number
Then,
Always True statements are -
abc = cbaa(b + c) = ab + ac(b - c)a = ab - acAnswer:
ABC are real numbers
Step-by-step explanation:
This year, Ryan watched 55 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he think were very good?
PLEASE HELP ASAP!!!! NO LINKS PLEASE!
Answer:
55 MOVIES???!! ok here's the answer: 33 is 60 percent of 55 = 60
Step-by-step explanation:
Which relation is a function?
Plz help!
6y + 2 = 9y + 14
Solve for y.
Answer:y=-4.6667
Step-by-step explanation:
Answer: y= -4
Step-by-step explanation:
6y + 2 = 9y + 14 Subtract 2 from both sides
-2 -2
6y = 9y + 12 Subtract 9y from both sides
-9y -9y
-3y = 12 Divide both sides by -3
y= -4
Can anyone solve this correctly?
Answer:
21.06 square feet
How many fluid ounces are in 5 cups
Answer:
40 fluid ounces
Step-by-step explanation:
-7 2/3+ -5 1/2+8 3/4
Answer:
-4 5/12
Step-by-step explanation:
The cost of laying wood floors consists of a base price of $250, plus $3.50 for each square foot installed. Define the variable
Let s = the base price of laying wood floors
Let s = the cost of each square foot
Let S = each square foot of wood installed
Let s = $250
Answer:
Let s = each square foot of wood installed
Step-by-step explanation:
Total cost of laying wood = base price + price for each square foot installed
Base price = $250
Price for each square foot installed = $3.50
Let
s = number of each square foot installed
Total cost of laying wood = $250 + $3.50s
The correct answer is
Let s = each square foot of wood installed
75°
(2x + 1)°
HELP HAHA
Answer:
Simplifying
75 = 2x + -1
Reorder the terms:
75 = -1 + 2x
Solving
75 = -1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
75 + -2x = -1 + 2x + -2x
Combine like terms: 2x + -2x = 0
75 + -2x = -1 + 0
75 + -2x = -1
Add '-75' to each side of the equation.
75 + -75 + -2x = -1 + -75
Combine like terms: 75 + -75 = 0
0 + -2x = -1 + -75
-2x = -1 + -75
Combine like terms: -1 + -75 = -76
-2x = -76
Divide each side by '-2'.
x = 38
Simplifying
x = 38
Step-by-step explanation:
Holly opened a savings account at a local bank. She deposited $2,500.00 into the account 5 years ago. If the account earns an annual simple interest rate of 7.1%, how much interest has she earned?
A.
$710.00
B.
$887.50
C.
$762.50
D.
$177.50
Answer:
The correct answer is B $887.5
Answer:
B.
887.50
Step-by-step explanation:
[tex]si = p \times r \times t \div 100[/tex]
[tex]si \: = 2500 \times 7.1 \times 5\div 100[/tex]
[tex]25 \times 7.1 \times 5[/tex]
[tex] = 887.50[/tex]
Module 20 lesson 1 Algebra 1 volume 2
Answer:
7 CA I don't know what you think of the year
!Choose the correct word for the following definitions:)!
An amount that is part of a whole ?
)A,proportion B,unit rate C,Ratio D,Rate
Answer:A- Proportion
Step-by-step explanation:
Denisa’s savings account balance increased from $50 to $80. By what percentage did the balance increase?
Answer:
Step-by-step explanation:
All you have to do here is divide 80 by 50.
80/50 = 8/5 = 1.6
Therefore if you convert this into a percentage:
1.6 = 160%
This means that her balance increased by 160%.
Can anyone tell me a step by step of this or how u got the answer
Answer:
Translation Followed by Rotation
Step-by-step explanation:
Figure 1 is Translated to the right, becoming figure 2. Figure 2 is then rotated to become figure 3.
Hope it helped :)
A line is represented by the equation y = 3x - 7. Which of the following statements about the line is TRUE?
A. The y-intercept is 7.
B. The "rise over run" is equivalent to
1/3
.
C. The point (1, 4) lies on the line.
D. The line has a positive slope
Answer: The "rise over run" is equivalent to 1/3
Step-by-step explanation:
Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.
The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b.
Here,
A.
The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.
B.
The "rise over run" is equivalent to 3. Option B is not correct.
C.
point (1, 4) lies on the line.
To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:
y = 3x - 7
4 = 3(1) - 7
4 = -4
Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.
D.
The line has a positive slope.
As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
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A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. A = b = c = d = e =.
The value of A is 7, the value of B is 31, the value of C is 28, the value of D is 13, and the value of E is 65.
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}. Venn diagrams are a representation of the sets by the diagram.
A group of 65 baseball players was surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram.
The table is shown below.
More about the sets link is given below.
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Answer:
Step-by-step explanation:
A=7 B=31 C=28 D=13 E=65
The perimeter is 40 ft and the length is 12 ft what is the width
Answer:
40-24=16 16/2 = 8
Step-by-step explanation:
The width is 8 ft_______fraction of rupee one is 25 paise
Answer:
The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).
Step-by-step explanation:
The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).
Which of the following decimal
comparisons is true?
A. 64.699 > 64.999
B. 20.45 = 27.45
C. 36.63 < 36.631
D. 247.008 < 247.006
Answer:
C
Step-by-step explanation:
because you it is greater
Need help please fast
As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;
[tex]{:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}[/tex]
[tex]{:\implies \quad \sf 4x-4+3x+1+y=13x-8}[/tex]
[tex]{:\implies \quad \sf y+7x-3=13x-8}[/tex]
[tex]{:\implies \quad \sf y=13x-8-7x+3}[/tex]
Collecting like terms :
[tex]{:\implies \quad \sf y=(13x-7x)+(-8+3)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}[/tex]
Hence , the length of Missing side is 6x-5
Slope of 2 and y-intercept of −7
Find the equation of the line in slope-intercept form.
Answer:
y=2x-7
Step-by-step explanation:
2 would equal M because m is your slope.
-7 would be your y intercept
following y=mx+b
The required equation of the line is given as y = 2x -7.
Given that,
The slope of 2 and y-intercept of −7
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The equation of the line is given as.
y = mx + c
Substitute the value in the equation,
y = 2x - 7
Thus, the required equation of the line is given as y = 2x -7.
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A store has fifteen 2 liter bottles of soda on the shelf. How many milliliters of soda does the store have?
Answer:
30,000 milliliters
Step-by-step explanation:
There are 15 2-liter bottles, so you must get the total number of liters by multiplying 15 and 2 to get 30. Then, because there are 1,000 milliliters per liter, you multiply 30 by 1,000 to get 30,000 milliliters total.
Need help on these questions ASAP please and thank you ! (:
Can you describe the pattern of the number of dots as a function of the Picture number? Tell how you got your
answer.
Answer:
In order to describe the pattern of the number of dots as a function of the picture number you have to take the average values of each number and find the line of best fit between each dot. This gives you a function, such as, f(x) = mx+b.
Wesley always estimates his grocery store total as he shops. while at silver street groceries this morning, he estimated his total purchase would be $50, but it was actually $46.10. what is the percent error for his estimate?
if necessary, round your answer to the nearest tenth of a percent.
Answer:
The answer is 8.5
Step-by-step explanation:
50-46.10=3.9
you then divide 3.9 by 46.10 and you get 0.0845...
so you estimate and get your answer
The percent error in Wesley's estimate is 8.5% if the estimated total purchase is $50 and the actual total purchase is $46.10.
What is Percentage?Percentage is a form of writing numbers as part of 100. The symbol used to denote percentage is '%'.
Percentage of a number can be calculated by dividing the number with the whole and then multiplying with 100.
Percentage is a dimensionless number because it has no measurement units.
The percent error can be calculated by the formula,
Percent error = [(Estimated value - Actual value)/ actual value] × 100
Estimated total purchase of groceries by Wesley = $50
Actual total purchase made by Wesley = $46.10
Percent error = [(50 - 46.10) / 46.10] × 100
= (3.9 / 46.10) × 100
= 0.0846 × 100
= 8.46%
≈ 8.5%
Hence the percent error for the estimation of total purchase of groceries by Wesley is 8.5%.
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