Answer:
30
Step-by-step explanation:
6 x 5= 30
six gallons per day times 5 work days
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
solve the inequality-2+4x<14
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹
Answer: The answer is D bc i did the test before hope you have a great day:]
Step-by-step explanation:
8
x
5
−
6
x
4
+
12
x
3
Find the perimeter of the figure. If you need to use in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle
10 m
a. 35.57 m
b.
65.40 m
C.
59.70 m.
d. 49.70 m
The total perimeter of the given composite figure is; 74.55 meters
How to find the perimeter of a composite figure?The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.
To find Perimeter of rectangle :
Length of the rectangle = 18 m
Width of the rectangle = 15 m
Perimeter = (2 × Length) + Width
Perimeter = (2 × 18) + 15
Perimeter = 36 + 15
Perimeter = 51 meters
To find perimeter of semi-circle :
Radius of semi-circle = 15/2 = 7.5 m
Perimeter of semi-circle = π × radius
Perimeter = 3.14 × 7.5
Perimeter = 23.55 meter
So, Total Perimeter of the figure = 51 + 23.55
= 74.55 meter
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Zak and Sara work for a company that sells boxes of pet food.
The company wants to have a special offer.
Here is Zak's idea for the special offer.
Put 50% more pet food into each box and do not change the price.
Here is Sara's idea.
Reduce the price and do not change the amount of pet food in each box.
Sa wants her idea to give the same value for money as Zak's idea.
By what percentage does she need to reduce the price?
Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.
To find the percentage by which Sara needs to reduce the price to provide the same value for money as Zak's idea, we need to compare the original price and the new price under Zak's idea.
Let's assume the original price of a box of pet food is P and the original amount of pet food in each box is A.
According to Zak's idea, the company will put 50% more pet food into each box without changing the price. Therefore, the new amount of pet food in each box will be 1.5A.
To calculate the value for money under Zak's idea, we divide the amount of pet food by the price:
Value for money (Zak's idea) = (1.5A) / P
Now, let's consider Sara's idea. She wants to reduce the price but keep the amount of pet food unchanged. Let's assume Sara reduces the price by a percentage represented by x.
Under Sara's idea, the new price of a box of pet food will be P - (x/100)P = P(1 - x/100).
Since Sara wants her idea to provide the same value for money as Zak's idea, we can equate the two value for money expressions:
(1.5A) / P = (A) / (P(1 - x/100))
Cross-multiplying and simplifying the equation:
1.5A * P(1 - x/100) = A * P
1.5(1 - x/100) = 1
Simplifying further:
1 - x/100 = 2/3
-x/100 = -1/3
x/100 = 1/3
x = 100/3
Therefore, Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.
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Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections that are each 18 ft long. How many sections will the line be divided into? Enter your answer in the box.
Answer:
216 ft
Step-by-step explanation:
you multiply 12 and 18
Which expression correctly shows how to rewrite log521 using a log base of 7?
log75log721
fraction numerator log subscript 7 end subscript 5 over denominator log subscript 7 end subscript 21 end fraction
log721log75
, fraction numerator log subscript 7 end subscript 21 over denominator log subscript 7 end subscript 5 end fraction,
log217log57
, fraction numerator log subscript 21 end subscript 7 over denominator log subscript 5 end subscript 7 end fraction,
log57log217
Answer: log7 21 / log7 5
I took one for the team and guessed, and got it right.
You are welcome future students.
The expression that correctly shows how to rewrite the logarithm \(\log_5{21}\), using a logarithm of base 7, with change of base, is given as follows:
\(\frac{\log_7{21}}{\log_7{5}}\)
How to change the base of a logarithm?To change the base of a logarithm, a new fraction is written, in which:
The numerator is the logarithm of the new base of the number that the previous logarithm was calculated.The denominator is the logarithm of the new base of the base of the previous logarithm was calculated.In this problem, the logarithm that will be calculated is:
\(\log_5{21}\)
Hence the number and the base of the logarithm are presented as follows:
The number is of 21.The base is of 5.With the change of the base to base 7, the numerator and the denominator of the fraction are given as follows:
Numerator: \(\log_7{21}\)Denominator: \(\log_7{5}\)Hence the simplified logarithm is presented as follows:
\(\frac{\log_7{21}}{\log_7{5}}\)
Meaning that the correct option is the second option.
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A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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plz answer the question ASAP
Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it?
A. Time(race)
B. Time(length)
C. Length(time)
D. Cost(time)
Answer:
B. Time(length)
Step-by-step explanation:
The function that would be represented as a good name for a function for the length of the race and the return the time required to finished it
here the independent variable or the INPUT is the length while the output would be the time that required to finish it
Hence, the correct option is B,
Therefore all the other options would be incorrect
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. We already have 60% of the items on our list her father says Anastasia sees 12 item's in thr cart.
60% of the items is equivalent to 12 items.
Let total items be x.
\(\begin{gathered} x\times\frac{60}{100}=12 \\ x=20 \end{gathered}\)Number of items left can be determined as,
20-12=8.
Thus, shopping of 8 items are left.
A clothing business finds there is a linear relationship between the number of shirts, n , it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 . Find a linear equation in the form p(n)=mn+b that gives the price p they can charge for n shirts.
The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.
How to linear equation in slope intercept form?Linear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p , it can charge per shirt. 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .
Therefore,
using (1000, 30) and (3000, 22) let's find the slope.
m = 22 - 30 / 3000 - 1000
m = - 8 / 2000
m = - 1 / 250
Hence, let's find the y-intercept using (1000, 30)
p(n) = mn + b
where
p = pricen = number of shirtTherefore,
30 = - 1 / 250 (1000) + b
30 = - 4 + b
b = 30 + 4
b = 34
Hence, the linear equation is p(n) = - 1 / 250n + 34
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Subtract 5p + 8q from the sum of 5p + 4q and – 9p + 69.
Answer:
-9p -4q + 69
Step-by-step explanation:
5p +4q + (-9p +69)
=> 5p + 4q -9p +69
=> -4p +4q +69
Now, we need to subtract 5p +8q from -4p + 4q +69
=> -4p +4q +69 - (5p +8q)
=> -4p + 4q +69 - 5p -8q
=> -9p -4q + 69
please im failing math and this is an extra credit problem.
Answer:
1:30 pm
Step-by-step explanation:
You want the time when Sahil catches up to Joaquin, who left at 8 am riding 50 mph when Sahil left at 8:30 am, riding at 55 mph.
Time, Speed, DistanceThe relation between time, speed, and distance is ...
distance = speed × time
time = distance / speed
Joaquin has a head start of 0.5 hours (30 minutes), during which time he traveled ...
head start distance = (50 mi/h) × (0.5 h) = 25 mi
Sahil is traveling 55 - 50 = 5 mph faster than Joaquin, so closes that gap at the rate of 5 mi/h. The time it takes to close the gap entirely is ...
time = distance / speed = 25 mi / (5 mi/h) = 5 h
So, 5 hours after Sahil starts at 8:30, the two riders will be at the same place.
Sahil catches Joaquin at 1:30 pm.
__
Additional comment
By the time the gap is closed at 1:30 pm, both riders will have traveled a distance of ...
distance = speed × time = 50 mi/h × 5.5 h = 55 mi/h × 5 h = 275 mi
In the attached graph, we have written equations for the total distance traveled by each motorcycle. The x-value used is the clock time on a 24-hour clock. That is, their meeting time of 13.5 hours corresponds to 13:30 hours or 1:30 p.m. on a 12-hour clock.
A restaurant customer left $0.70 as a tip. The tax was 5% and the tip was 10% of the cost including tax. a. What piece of information is not needed to compute the bill after tax and tip? b. What was the total bill? a. What information is not needed to solve this problem? OA. The customer left a 10% tip. B. The tax was 5%. OC. The customer left $0.70 as a tip. O D. All of this information is needed to solve the problem. b. The total bill is...
Answer:
1-a. The tax was 5%
b. The total bill is 7$
Step-by-step explanation:
a. We need the 10% tip of bill after tip and tax to get bill.
b. 0.7 = 10%
x = 100% (x is total bill)
x = (0.7*1)/0.1 (divide percentage by 100)
= 0.7/0.1
= 7
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones
Answer:
RIP chadwick
Step-by-step explanation:
Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.
Answer:
\(\mathbf{\theta = 0.0875 \ radians}\)
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
\(\theta = \dfrac{l}{r}\)
\(\theta = \dfrac{350}{4000}\)
\(\mathbf{\theta = 0.0875 \ radians}\)
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
(2t)^3 x (3t)^2 is what
Answer:
(23•32t5x)
Step-by-step explanation:
STEP1:
Equation at the end of step1:
(((2t)3) • x) • 32t2
STEP2:
Equation at the end of step2:
(23t3 • x) • 32t2
STEP3:
Multiplying exponential expressions :
3.1 t3 multiplied by t2 = t(3 + 2) = t5
Final result :
(23•32t5x)
Multiply fraction or mixed number by a whole number 3 x 3/5
Answer:
To multiply a whole number and a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator the same.
So, 3 x 3/5 = (3 x 3)/5 = 9/5
Therefore, 3 x 3/5 = 9/5.
Answer:
Step-by-step explanation:
9x/5
WHAT 271,403 ROUNDED TO HUNDRED
Answer:
271,400
Step-by-step explanation:
I hope this helps
i need help pls!!
7th grade math :)
Answer: E
Because the X is A positive and Y is a negative.
Answer: I'm a 7th grader too :)
E.
Explanation:
Graphing with axis's is ( x, y ) written like that.
For this the x axis of A is between 1 and 2 = 1.5
For the y axis of A, it is between -1.5 and -2 = -1.75
= ( 1.5, -1.75 )
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Using the information in the Box-and-Whisker plot below, what is the 2nd Quartile?
A. 5
B. 12.5
C. 20
D. 27.5
The answer would be (C) 20.
Answer:
The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.
In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.
Option B, 12.5, is the correct answer.
Step-by-step explanation:
Please help (special right triangles) :) step by step plss
The third side of the right angled triangle is 45.
What is right angled triangle?
A right angled triangle, also known as a right triangle, is a type of triangle that has one angle that measures exactly 90 degrees, called the right angle. This angle is formed where the two shorter sides of the triangle meet.
To solve this problem, we can use the concept of special right triangles, specifically the 3-4-5 right triangle. In a 3-4-5 right triangle, the sides are in the ratio of 3:4:5.
Let's label the length of the triangle as \($L$\), the height as \($H$\), and the hypotenuse as \(X\).
The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Therefore, we can set up the following equation:
\($$ L^2 + H^2 = X^2 $$\)
Substitute the given values.
We are given that \($L = 27$\) and \($H = 36$\), so we can substitute these values into the equation:
\($$ 27^2 + 36^2 = X^2 $$\)
Simplify the equation.
Evaluating the squares on the left side, we get:
\($$ 729 + 1296 = X^2 $$\)
Simplifying the right side, we get:
\($$ 2025 = X^2 $$\)
Solve for X.
Taking the square root of both sides, we get:
\($$ X = \sqrt{2025} $$\)
\($$ X = 45 $$\)
Therefore, the third side of the triangle is 45.
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Gieo đồng thời hai con xúc xắc. Tìm xác suất để nhận được:Tổng số chấm là 8.
Answer:
what is this sy man i dnt get it
Step-by-step explanation:
Use the piecewise function graph to the right to find:
Answer:
a) f(-8) = 1
b) f(-4) = 5
c) f(2) is undefined
Step-by-step explanation:
f(x) notation means "the function of x". Therefore, for f(-8) you need to find the y value when x = -8. Locate -8 on the x-axis and then follow up (or down) until you meet the curve/line. Then find the corresponding y-coordinate of this point.
From inspection of the graph:
a) f(-8) = 1
b) f(-4) = 5
c) f(2) is undefined
<1 and <2 are supplementary, so one of the angles is acute,
Find one counterexample to show that each conjecture is false.
Answer:
make each of the supplementary angles 90, then they are equal.
Step-by-step explanation: