Step-by-step explanation:
Let the no. Of customers be N.
25 = 15 + 5.5N
This is the required eqn.
Stacey can use the formula, 25 = 15 + 5.50x to find out the number of customers she needs to make $25 weekly.
Stacey makes $15 in a week without having any customers. She will however, make $5.50 for every customer on her paper route.
The expression for the amount she makes per customer and assuming the number of customers is represented by x is therefore:
= Amount per customer × Number of customers
= 5.50 × x
= 5.50x
When this is added to the amount she makes without customers it is:
= 15 + 5.50x
Stacey wants to make $25 per week using the above expression so the full expression would be:
25 = 15 + 5.50x
In conclusion, Stacey can find the total number of customers she needs to make $25 per week by the expression 25 = 15 + 5.50x.
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Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write the fraction in simplest fractional form.)
if you answer this ill give you points
Answer:
B
Step-by-step explanation:
your welcome
Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Answer:
y = 7x - 8
Step-by-step explanation:
The equation of a line in slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.
The problem already gives us both of these values:
m = 7
b = -8
All we have to do is plug them in:
y = mx + b
y = 7x + -8
y = 7x - 8
Thus, the answer is y = 7x - 8.
Which of the following additional statements would you need to prove these two triangles are similar by SAS similarity?
1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠B ≅ ∠F
4. ∠C ≅ ∠F
Answer:
option 1
as the sides were already given, A and D are the only way that the triangle can have SAS.
The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.
What is SAS (side angle side ) similarity theorem for two triangles?The SAS theorem states that if two triangles have a congruent angles and the sides that define the angle are proportional, the two triangles are similar.
Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24
Then AB/ DE = 7/14 = 1/2
and AC / DF = 12/24 = 1/2
∴ AB / DE = AC/ DF
Therefore the sides AB and AC are proportional to DE and DF
And for the application of SAS the angle defined by these pairs must be congruent.
AB and AC defines ∠A and DE and DF defines ∠D
Thus, ∠A must be congruent to ∠D so that SAS can be to applied to make the given triangles similar.
Therefore, option 1. ∠A ≅ ∠D is correct option
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Enter a range of values for x:
A
12
D
35°
20°
B
4X4
С
1
Answer:
The correct answer to the question is;
1 < x < 4
Step-by-step explanation:
The give parameters are;
ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°
Therefore, the two base angles are 62.5° each by definition of isosceles triangle
Given that the angle subtended by 4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;
4·x - 4 < 12
4·x < 12 + 4
∴ 4·x < 16
x < 16/4
x < 4
Therefore, the range is 1 < x < 4
What if i want my own room but there are six kids and only three rooms then what do i do
ps: its not a math question and what about the adults
Answer:
Ya gotta share
Step-by-step explanation:
The dimensions of a rectangular prism are 24 ft x 20 ft x 15 ft. What is the surface area
Answer:
2280 ft^2
Step-by-step explanation:
A rectangular prism has 6 faces. Each pair of opposite faces is congruent.
surface area = 2LW + 2LH + 2WH
surface area = 2(24 ft)(20 ft) + 2(24 ft)(15 ft) + 2(20 ft)(15 ft)
surface area = 960 ft^2 + 720 ft^2 + 600 ft^2
surface area = 2280 ft^2
The local newspaper has letters to the editor from 10 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
The local newspaper has 250 readers in total
Step-by-step explanation:
Given that
Letter to the editor = 10
Also it is given that 10 is the 4% of total readers of the newspaper.
Let x be the number of readers of the newspaper
It can be written as:
[tex]10 = 4\%\ of\ x[/tex]
Converting the percentage into decimal
[tex]10 = 0.04x\\\frac{10}{0.04} = \frac{0.04x}{0.04}\\x = 250[/tex]
The newspaper has 250 readers.
Hence,
The local newspaper has 250 readers in total
A baker sells bread for $4 a loaf and rolls for $1 each. The baker needs to sell $44 worth of baked goods by the end of the day.
Enter a linear equation that describes the problem.
solve the quadratic equation giving your answer to 3dp 3x^2+9x-10=0
please show workings out
Answer:
d= -1/px + 10/9px^2
Step-by-step explanation:
What expression is equivalent to 4(4d)
Answer:16d
Step-by-step explanation:
For Anthony’s birthday his mother is making cupcakes for his 12 friends as daycare. The recipe calls for 3 1/2 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony‘s mother only has one cup of flour. Is there enough flour for each of his friends to get a cupcake.
Answer:
yes because he has 12 friends and the recipe makes 2 1\2 dozen cupcakes.
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
A group of 5 friends went out to dinner. The total bill including the tax and tip came to $83.95. If they split the bill evenly, how much money does each person owe?
Answer:
Each person owes $16.79
Step-by-step explanation:
The total including tax was 83.95. Divide this by the 5 people to get 16.79.
The money that does each person owe should be $16.79.
Calculation of the money:Since A group of 5 friends went out to dinner. The total bill including the tax and tip came to $83.95.
So here the each person should be owe should be
[tex]= $83.95 \div 5[/tex]
= $16.79
hence, The money that does each person owe should be $16.79.
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At a certain restaurant, 35 percent of the customers order the daily special each day. Assume that each day the customers arrive randomly and order independently. Let the random variable X represent the number of orders placed until the first daily special is ordered. The distribution of X is geometric and has an expected value of approximately 2.86. Which of the following is the best interpretation of the expected value?
A. Each day, 3 customers will order the daily special.
B. Over many days, the average number of customers ordering the daily special is approximately 2.86.
C. Over many days, it takes about 2.86 orders, on average, to be placed until the first daily special is ordered.
D. For a random sample of the days, the average number of orders of the daily special will be 2.86.
E. Each day, the ratio of the number of orders of the daily special to the number of orders of other menu items is about 2.86 to 1.
Answer:
C. Over many days, it takes about 2.86 orders, on average, to be placed until the first daily special is ordered.
Step-by-step explanation:
Did it on college board
Option C. Over many days, It takes about 2.86 orders, on average, to be placed until the first daily special is ordered.
What Is a Random Variable?A random variable is a variable whose value is unknown or a function that assigns values to each of an experiment's outcomes. Random variables are often designated by letters and can be classified as discrete, which are variables that have specific values, or continuous, which are variables that can have any values within a continuous range.
Given here: The distribution of X is geometric and has an expected value of approximately 2.86. And 35 percent of the customers order the daily special each day. Thus clearly the correct and precise interpretation of the statement is Over many days, It takes about 2.86 orders, on average, to be placed until the first daily special is ordered.
Hence, Option C is the correct answer.
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The area of the rectangular sheet of paper is 800 sq.cm. If it's width is 20cm then the length is
Answer:
40
Step-by-step explanation:
800÷20=40
40×20=800
Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.
What was the interest rate?
Answer:he account pays 5% simple interest per year. ... 6) Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.
Step-by-step explanation:
Suppose a line segment whose endpoints are T(x 1 ,y 1 ) and U(x 2 ,y 2 ) is reflected over y=x to create T’U’. The coordinates of the image are T’(-4,3) an U’(1,7). What are the values of x 1 x 2 y 1 and y 2?
Answer:
I have no clue and im a junior im so sorry your teach sucks
Answer:
same bro
Step-by-step explanation:
Given g(x) = –2 – 1, solve for a when g(x) = 3.
Answer:
Submit Answer
Select all of the descriptions which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x) = 2x.
A. The graph is translated 2 units to the right.
B. The graph is rotated about (0,0), becoming steeper.
C. The graph is vertically stretched.
D. The graph is translated 2 units up.
E. The graph is vertically shrunk.
F. The graph is reflected across the x-axis.
Answer:
The descriptions that apply are E and F.
Step-by-step explanation:
Let's graph both functions, attached the result:
A: No. The graph is not reflected across x-axis. For this to happen, there should be a negative sign: g(x) = -x, for example
B: No, the graph doesn't translate. The graph only translates if there is: g(x) = a(x-c)+b, where b defines the vertical translation, and c the horizontal one.
C: No. This would happen for g(x)=x/2, for example.
D: No. Check the explanation of B.
E: Yes. The graph rotates due to the factor of 10. This rotation only applies for straight lines.
F: Yes. It stretched.
To find the area of a rectangle, multiply the length and the width.
The length of a rectangle is (X - 6) and the width of the rectangle is (x - 10). What is the area of the rectangle?
Answer:
Step-by-step explanation:
area = length * width
area = (x - 6) (x - 10)
area = x (x - 10) - 6 (x - 10)
area = x^2 -10x -6x -10
area = x^2 -16x -10
pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
URGENT!!
de flori 73834
Step-by-step explanation:
whats 500x200÷90+35
Answer:1146.11111
500*200 = 100,000
100,000 / 90 = 1111.11111
1111.11111+35 = 1146.11111
What is the greatest common factor (GCF) of 40 and 50?
A.
10
B.
25
C.
200
Answer:
The GCF of 40 and 50 is
A 10
Answer: A
Because if u add 25 that goes into 50 not 40 u have to find the answer that goes to each number for the greater added therefore A 10 is the answer
Step-by-step explanation:
Graph the function in your notebook. Determine whether the function is linear or nonlinear.
Answer:
It is linear because if all x values are different, it makes it linear.
PLEASE HELP ME ITS ALGEBRA 1 ANYONE PLEASE !!!
Answer:
answer of this question is r=0.94
Answer: oh god
Step-by-step explanation:
Mary is going to have an outdoor party in 10 days. She wants to have her backyard pond covered in water lilies before the party, so she goes to the nursery to buy some water lilies. Mary gives the clerk the dimensions of her pond, and the clerk, knowing the growth rate of the water lilies that he stocks, calculates that if she purchases a single water lily, it will produce a population of ten thousand lilies that will completely cover the surface of the pond in 20 days. Mary reasons that if she buys two water lilies instead of one, she can meet her goal of having the pond surface covered in 10 days. Is there anything wrong with Mary's reasoning? How many water lilies will Mary need to buy to meet her goal?
Answer:
a. There is nothing wrong with Mary's reasoning b. 2 water lilies.
Step-by-step explanation:
a. This is because, she reasons that if she doubles the amount of water lilies she buys, it would take half the time it takes to produce 10,000 lilies. So, there is nothing wrong with Mary's reasoning.
b. Since it takes 1 water lily to produce 10000 lilies in 20 days, 1 water lily will produce x lilies in 10 days.
So, x = 10000 × 10/20 = 5000 lilies
So, 1 water lily produces 5000 lilies in 10 days.
So, x water lilies will produces 10000 lilies in 10 days.
So x = 10000 × 1/5000 = 2 water lilies
So, 2 water lilies will produce 10000 lilies in 10 days.
So, Mary needs 2 water lilies so she can meet her goal of having the pond surface covered in 10 days.
Which model shows two equal expressions when c = 5?
c + 1 = 1 + 1 + 1 + 1 + 1 + 1
c + c = 1 + 1 + 1 + 1 + 1 + 1
c + c + c + c + c = 1 + 1 + 1 + 1 + 1
c + c + c + c + c = 1
I say.... The first one! :D
Answer:
C + 1 = 1 + 1 + 1 + 1 + 1 +1
Step-by-step explanation:
HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answer:
12345678910
Step-by-step explanation:
What is the measure of angle BOC'?
A) 79 degrees
B) 35 degrees
C) 66 degrees
D) 114 degrees
there are 445 grams in a pound. convert 330 grams to ounces
Answer:
11.6404
Step-by-step explanation: