Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.
Answer:
$1250.00 + (x)$4.25 =
Step-by-step explanation
So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.
Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.
you spin the spinner once
What is P(5)?
0-10
A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.
The probability of getting 5 on spinner is 0.25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, on the spinner there are four numbers {3, 4, 5, 6}.
Number of favorable outcomes = 1
Total number of outcomes = 4
So, P(5) = 1/4
= 0.25
Therefore, the probability of getting 5 on spinner is 0.25.
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If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is
the first term?
Answer:
the first term is 4
Miguel went shopping for a new phone. Sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?
Answer:
miges fue y no me compro el celu
Step-by-step explanation:
mal migel
por culpa de brailyn reverg
What is the difference between function and operator in math?
Step-by-step explanation:
In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval
Answer:
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=8[/tex]
Mean [tex]\=x=4.1602[/tex]
Standard deviation [tex]\sigma=0.001gram[/tex]
Generally 99\% confidence from table is mathematically given by
[tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]
[tex]P(-z<x<z)=0.99[/tex]
[tex]Z_{\alpha/2}=2.576[/tex]
Generally the equation for 99\% confidence level (CI) is mathematically given by
[tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Jake has a 1 in 5 chance of winning the egg and spoon race.
what is the probability that he will NOT win the race
8%
20%
60%
80%
Answer:
Step-by-step explanation:
1 in 5 = 1/5 = 20% that he wins
Probability that he will NOT win
= 1 - 20%
= 100% -20%
= 80%
Answer:
80%
Step-by-step explanation:
percentage of winning
1/5×100%=20%
percentage of not winning
100%_20%=80%
which statement is true?
Answer:
The y-intercept of Function A is less than the y-intercept of Function B.
Step-by-step explanation:
Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.
simplify the expression
Answer:
The answer is C.
Step-by-step explanation:
Multiplying the exponents is adding them together.
Answer:
x^8
Step-by-step explanation:
Multiply the terms with the same base by adding their expondents
x^6+2^2
add the numbers 6+2= 8
X/30 + X/40= 1
Solve for x
Answer:
17 1/7 I think
Step-by-step explanation:
x=17.1
Step-by-step explanation:
[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]
2x[tex]2x^{2} - 14x + 24[/tex]
Answer a, b and c. See image below
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]
[tex]\frac{9}{15}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]
The common denominators of the two fractions is 30. Comparing the two fractions:
[tex]\frac{21}{30} >\frac{18}{30}[/tex] or [tex]\frac{18}{30}<\frac{21}{30}[/tex]
so we get: [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 22
The smaller number: 14
HOPE THIS HELPS
Use the Squeeze Theorem
Answer:
See Below.
Step-by-step explanation:
We want to use the Squeeze Theorem to show that:
[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]
Recall that according to the Squeeze Theorem, if:
[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]
And:
[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]
Then:
[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]
Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:
[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]
We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:
[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]
Let g = -x², h = x², and f = x²sin(2 / x). We can see that:
[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]
And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:
[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]
you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Answer:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
Step-by-step explanation:
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.
4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?
Answer:
Simple interest
Step-by-step explanation:
Because its a period of 8 years
Find the volume of this figure
Answer:
A
Step-by-step explanation:
36*12*6+12*24*3=3456
Answer:
3456
Step-by-step explanation:
36*12*6 + 24*12*3
just add up the two volumes
h(-7)=
See graph below to help solve.
PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST
Answer:
5X+6+3X-2 =180
8X+4. =180
8X. =180-4
8X. =176
X=22
CBD=EBF=3x-2
=66-2
=64
CBD=64
Which of the following is the product of 7/8 and -4/21? a.- 1/6 b.1/12 c.- 16/21 d.- 147/32
Answer:
A. -1/6
Step-by-step explanation:
7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6The product of 7/8 and -4/21 is a.- 1/6.
What is the product?In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.
Now the given numbers are,
7/8 and -4/21
now taking 7/8 and since 8= 4*2
so, 7/8 = 7/(4*2)
Again taking -4/28 and since 28 = 7*4
so, -4/21 = -4/(7*3)
hence the product of 7/8 and -4/21 is given as,
7/8*(-4/21) = 7/(4*2) x -4/(7*3)
taking alike terms together we get,
7/8*(-4/28) = (7/7)(4/4)(-1/2*3)
⇒ 7/8*(-4/28) = -1/6
Hence the correct option is a.-1/6
Therefore,The product of 7/8 and -4/21 is a.- 1/6.
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A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)
Answer:
P(a pair with matching cards in different suits) = 1/52
Step-by-step explanation:
We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.
Thus;
Probability of selecting one card of a particular suit = 13/52 = 1/4
If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.
Thus; probability = 3/39 = 1/13
Thus;
P(a pair with matching cards in different suits) = 1/4 × 1/13
P(a pair with matching cards in different suits) = 1/52
Question 2.1
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.
Answer:
x = 5.3
Step-by-step explanation:
Reference angle (θ) = 24°
Opposite side to the reference angle = x
Adjacent side = 12
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 24° = x/12
12*Tan 24° = x
5.34274422 = x
x = 5.3 (approximated to one decimal place)
A person's Body Mass Index (BMI) is a measure of the amount of fat in their body. The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following line of best fit: [tex]y=-1.2x+26[/tex] . Interpret the slope and intercept of the trend line within the context of the data.
DIRTY ANSWERS REPORTED
NO LINKS ALLOWED!
Answer:
The slope of -1.2 means that for each cup of antioxidant a person consumes per day, it's BMI decreases by 1.2.
The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.
Step-by-step explanation:
Line of best fit:
[tex]y = -1.2x + 26[/tex]
Slope:
The slope is the number that multiplies x, that is, -1.2. The slope of -1.2 means that for each cup of antioxidant food a person consumes per day, it's BMI decreases by 1.2.
Intercept:
Value of y when x = 0, that is, 26. The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.
Answer:
the slope is -1.2 and the intercept is 26.
Step-by-step explanation:
our line's equation is y= -1.2x + 26
In the equation y = mx + b, m is the slope and b is the y-intercept. So in this equation, look for where the numbers are placed and that it what you get.
Inequality of y<-4+3 on graph
Answer:
[tex]y < - 1[/tex]
Step-by-step explanation:
[tex]y < - 4 + 3[/tex]
[tex]y < - 1[/tex]
Hope it is helpful...[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]
[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]
a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?
Answer:
43.2 meters
Step-by-step explanation:
Multiply the length of one piece of ribbon by 8 to determine the total length
5.4 * 8 =43.2 meters
Find the distance between the pair of points: (2,6) and (0,−3).
Answer:
d = √85
Step-by-step explanation:
d^2 = (X2 - X1)^2 + (Y2 - Y1)^2
= (2 - 0)^2 + (6 + 3)^2
= 4 + 81
d = √85
Candice works at a grocery store. She works 35 hours a week and
gets paid $8.50 an hour. For every hour over 35, Candice gets
paid $10 an hour. If she was paid $357.50 last week, how many
hours over 35 did Candice work?
9514 1404 393
Answer:
6
Step-by-step explanation:
For 35 hours, Candice is paid ...
($8.50/h)(35 h) = $297.50
Any amount in excess of that is paid at $10 per hour. The amount of excess pay is ...
$357.50 -297.50 = $60.00
Then the number of overtime hours was ...
$60/($10/h) = 6 h
Candice worked 6 hours over 35 last week.
suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million
Answer:
53 million.
Step-by-step explanation:
$26.2 / total = 0.49 ($ in millions)
Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $
Which graph shows Point Pin Quadrant II and Point Q as (3,-4)
Answer:
p would be up top on the negative side (left)
q would be at the bottom on the positive side (right)
Help me out thankssssss !!!!!!
Answer:
78/2=39°
Step-by-step explanation:
thx for the points