Amanda learns 2.5 recipes per week, so over 6 weeks of training, she would be expected to learn 15 appetizer recipes.
Explanation:To establish the rate of Amanda learning new appetizer recipes, we need to determine the relationship between time (in weeks) and the number of recipes she learned. After 2 weeks of training, she learned 5 recipes, so we can assume that she learns at a rate of 5 recipes per 2 weeks, or 2.5 recipes per week.
Consequently, to estimate how many recipes she will learn after 6 weeks, we multiply the rate by the amount of weeks, which is: 2.5 recipes per week * 6 weeks = 15 recipes. Therefore, Amanda would be expected to learn 15 appetizer recipes after 6 weeks of training.
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when Elena 's car moves forward such that each tire make one full rotation ,the car has traveled 72 inches .how many full rotations will the tire need to make for Elena's car to travel 10 yards
what is 1 1/2 divided by 3/4
The answer to this one would be 2.
Answer: 2
Step-by-step explanation:
1 1/2 divided 3/4
First make all a fraction
3/2 divided 3/4
3/2*4/3 inverted
2
4 times the quotient of 3 and 4
Answer:
3
Step-by-step explanation:
You would start by dividing
3 by 4. Then multiply 3/4 and 4. The 4s would cancel out leaving you with 3. 3/ 4×4=3
hope this helps
Final answer:
To answer the student's question, first find the quotient of 3 and 4, which is ¾, and then multiply that result by 4 to get the final answer of 3.
Explanation:
The student is asking for the result of multiplying 4 with the quotient of 3 and 4. To solve this, first calculate the quotient of 3 and 4, which is ¾. Then, multiply this result by 4.
Step 1: Quotient of 3 and 4 = 3 ÷ 4 = ¾
Step 2: Multiply the quotient by 4 = ¾ × 4
When you calculate step 2, you get:
¾ × 4 = (3 × 4) / 4 = 3
So, 4 times the quotient of 3 and 4 is 3.
What is (4x+5y)(2x+3y)
Answer:
8
x
2
+
22
x
y
+
15
y
2
Step-by-step explanation:
yeet
Answer:
Step-by-step explanation:
sahil is putting together supply kits and has 36 packs of x pencil, 12 packs of y crayons, and 24 erasers. Write an expression to show the total number of items.
Answer:
36x + 12y + 24 = T
Step-by-step explanation:
If Sahil has 36 packs of x pencils, then x would equal the number of pencils in each pack. Same thing goes for y. 12 packs of y pencils and y will be the number of crayons in each pack.
36(x) = Total number of pencils.
12(y) = Total number of crayons.
24 = The numbers of erasers which is given.
36x + 12y + 24 = Total numbers of items.
This graph shows how the length of Karen's essay depends on the number of hours she spends writing this week.
What is the constant of variation?
Type your answer as a decimal.
pages per hour.
Answer: [tex]0.8[/tex] pages per hour.
Step-by-step explanation:
For this exercise it is important to know that, by definition, Direct variation equations have the following form:
[tex]y=kx[/tex]
Where "k" is the constant of variation.
Therefore, it is a straight line that passes through the origin.
In this case, given the graph attached in the exercise, you can follow these steps in order to find the constant of variation:
Step 1: You need to choose any point on the line. Let's choose the point (5,4).
Step 2: Now you must ubstitute the coordinates of that point into [tex]y=kx[/tex]. Then:
[tex]4=k(5)[/tex]
Step 3: Finally, you must solve for the Constant of variation "k", in order to find its value. Therefore, you get that this is:
[tex]k=\frac{4}{5}\\\\k=0.8[/tex]
For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)
Answer:
Step-by-step explanation:
a vertical line has an undefined slope....(8,6).....its equation is x = 8 because no matter what y is, x will always be 8.
but u need it in standard form Ax + By = C
so it is written as : x + 0y = 8 <===
A = 1
B = 0
C = 8
Ax + By = C will be a vertical line passing through point (8,6) for values of A = 1 , B = 0 and C = 8.
What is a vertical line ?
In a coordinate plane, a line parallel to the Y-axis is called vertical Line. Any point in this line will have the same value for the x-coordinate.
We know that the x-axis has lines that run vertical then if you have a point use your x-ordinate.
The equation of a vertical line is :
x = C
here : C is the value of the x- coordinates the line passes through.
In the given question we have to find out the values of A , B and C for which Ax + By = C be a vertical line passing through point (8,6).
Here , the coordinate of point (x , y) is (8 , 6).
So , the equation of vertical line will be x = 8.
So , if we compare it with the general form of line , Ax + By = C, then we get :
8A + By = 8
So , values of A , B and C :
A = 1, B = 0, C = 8
Therefore , Ax + By = C will be a vertical line through point (8,6) for values of A = 1 , B = 0 and C = 8.
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Please help me with these answers!!!
Answer:
Step-by-step explanation:
5) D 2000/200 = 10
6) C 90/9 = 10
7) B 80/8 = 10
8) A) 10 times 2 =10*2 = 20
Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.
A. The range for Week 1 equals the range for Week 2.
B. The range for Week 1 is greater than the range for Week 2.
C. The median for Week 1 is less than the median for Week 2.
D. The mean for Week 1 is greater than the mean for Week 2.
Answer:
The true statement is: A. The range for Week 1 equals the range for Week 2.
Step-by-step explanation:
Let's recall that the range of a data set is the difference between the largest number and the smallest number.
As we can confirm in the plot for week 1, the range is:
Range for week 1 = Largest number - smallest number
Range for week 1 = 89 - 62 = 27
In the same way, we can confirm in the plot for week 2 that the range is:
Range for week 2 = Largest number - smallest number
Range for week 2 = 89 - 62 = 27
Ranges for week 1 and 2 are equal, thus,
The true statement is: A. The range for Week 1 equals the range for Week 2.
What is the value of the expression below? (Four-fifths + three-fifths) + 3.5 times 5
Answer:
21
Step-by-step explanation:
Answer:
18 and 9/10
Step-by-step explanation:
if you add 4/5+3/5=7/5 or 1.4. 3.5*5=17.5, then you add them together to get 18.9 or in the fraction version= 18 and 9/10
what is 9/20 times 4/5 in simplest form ?
Answer:
0.36 or [tex]\frac{9}{25}[/tex]
Step-by-step explanation:
9/20=.45
4/5=.8
Answer: .36
what is the answer of 1/4+1/5+1/6=
15/60+12/60+10/60= 37/60
A dress that is regularly priced $80 is on sale for 30% off. What is the sale price of the dress?
Answer:
$56?
Step-by-step explanation:
I think you get 100%-30%=70%.
70%=0.70
0.70*$80= $56
Greatest to least 1/2 1/5 3/8
Answer:
1/5 3/8 1/2
Step-by-step explanation:
the sum of the 5th term of the 7th term of an ap is 52 and the 10th term is 46 find the AP
Answer:
The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................
Step-by-step explanation:
From the question;
Sum of fifth term and 7th term is 52 That is; 5th term + 7th term = 5210th term is 46We are required to find the AP;
We need to know that in an AP ;nth term = a + (n-1) d , where a is the first term and d is the common difference
Therefore, In this case;5th term = a + 4d
7th term = a + 6d
Therefore;5th term + 7th term = 2a + 10d = 52 ..........eqn 1
10th term = a + 9d
Thus, a + 9d = 46 ............. eqn 2We can solve eqn 1 and eqn 2 simultaneously to get the value of a and d2a + 10d = 52
a + 9d = 46
Multiplying the second equation by 2, we get;
2a + 10d = 52
2a + 18d = 92
Eliminating a by subtracting the two equations; we get;
-8d = -40
d = 5
Solving for a
a + 9d = 46
a = 46 - 9d
= 46 - 9(5)
= 46 - 45
a = 1
Thus, the first term, a= 1 and the common difference, d= 5
Therefore;
First term = a = 1
Second term = a + d = 1 + 5 = 6
Third term = a + 2d = 1 + 2(5) = 11
Fourth term = a + 3d = 1 + 3(5) =16
Fifth term = a + 4d = 1 + 4(5) = 21
Sixth term = 1 + 5d = 1 + 5(5) = 26
Seventh term = 1 + 6d = 1 + 6(5) = 31
Thus,
The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................
Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intrest will he make after 3 years
Answer:
$45
Step-by-step explanation:
We are given the following information;
Money invested (Principal) is $300Rate of interest is 5% per annumTime the money is invested is 3 yearsWe need to determine the amount of interest the money will earn after three years.
Simple interest is calculated by the formula;Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.Therefore, in this case;
Simple interest = ($300 × 5 × 3) ÷ 100
= $45
Thus, the money invested earned a simple interest of $45
Using the formula for simple interest, we find out that Edin will earn £45 as interest on his savings of £300 over a period of 3 years at a simple interest rate of 5% per annum.
Explanation:The subject of this question is simple interest. The formula for simple interest is: Principal * Rate * Time. Let's plug in the given values into the formula. Here, the principal amount is £300, the rate of interest is 5% per annum (or 0.05 in decimal form), and the time is 3 years. So, the calculation will be: £300 * 0.05 * 3.
After performing the calculation, we find that the interest Edin will earn after 3 years is £45.
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Show how to use unit multipliers to convert 4 hours to seconds.
Answer:
4 hours = 14400 seconds.
Step-by-step explanation:
i) In 1 hour there are 60 minutes
ii) in 1 minute there are 60 seconds
iii) therefore 1 hour = 60 minutes
= 60 [tex]\times[/tex] 60 seconds
= 3600 seconds
iv) therefore to convert 4 hours to seconds we have to multiply the number of hours by 3600 seconds
therefore 4 hours = 4 [tex]\times[/tex] 3600 seconds = 14400 seconds.
In testing the effectiveness of an energy drink on the performance of athletes, 50 athletes were given water and 50 athletes
were given a new energy drink, Yellow Bull. After drinking, each athlete was asked to perform a one-mile run, a 100 yard sprint
and 20 pull-ups.
A) conclusion
B)hypothesis
C)dependent variable
D)independent variable
The correct answer is C; Dependent variable.
Further explanation:
Researchers are very interested in the dependent variable. This variable is what is being tested and measured during the research in progress. In this case, it is the new energy drink.
The researchers are looking for an effect to occur while changing the independent variable of the case study. There are three main different types of variables used in research studies, they are;
IndependentDependentControlWith the athletes doing exercises after consuming the test product, they are seeing if the product does give more energy than if they hadn't of consumed the energy drink.
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Why does it take 3 copies of 1/6 to show the amount as 1 copy of 1/2
3 copies of 1/6 makes it 1 copy 1/2 because 3 times of 1/6 is 3/6 which is 1/2
Step-by-step explanation:
3 times 1/6 = 3/6
which is 1/2.
Hence it takes 3 copies of 1/6 to show the amount as 1 copy of 1/2
Alternatively,
1/6+1/6+1/6= 1/2
3/6=1/2
1/2=1/2
Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $24.80. The oil change for the other car required 7 quarts of oil and cost $29.30. How much is the labor fee and how much is each quart of oil?
The labor fee is $13.55 and each quart of oil is $2.25
Step-by-step explanation:
Let,
x be the amount of each quart of oil
y be the amount of labor fee
According to given statement;
5x+y=24.80 Eqn 1
7x+y=29.30 Eqn 2
Subtracting Eqn 1 from Eqn 2
[tex](7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{4.50}{2}\\x=2.25[/tex]
Putting x=2.25 in Eqn 1
[tex]5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55[/tex]
The labor fee is $13.55 and each quart of oil is $2.25
Keywords: linear equation, subtraction
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The physician tells a woman who usually drinks 5 cups of coffee daily to cut down on her coffee consumption by 75%. If this woman is compliant with the physician's instruction, how many ounces of coffee is she allowed daily?
Answer:
Step-by-step explanation:
5 cups per day.....1 cup = 8oz.....so 5 cups = (5 * 8) = 40 oz
cut down by 75%....means ur only drinking 25%
25% of 40 oz =
0.25(40) = 10 oz per day <===
- V17 is the geometric mean between 7 and what other number?
Answer:
[tex]\large\boxed{x=\dfrac{17}{7}}[/tex]
Step-by-step explanation:
[tex]\text{A geometric mean of}\ x\ \text{and}\ y:\\\\\sqrt{xy}\\\\\text{Let}\ x-\text{the number}.\\\\\text{Substitute:}\\\\\sqrt{17}=\sqrt{(7)(x)}\iff17=7x\qquad\text{divide both sides by 7}\\\\\dfrac{17}{7}=\dfrac{7x}{7}\to x=\dfrac{17}{7}[/tex]
A factory makes sheets of metal that are 2/3 of an inch thick. If a worker at the factory makes a stack of 8 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.
The thickness of a stack of 8 sheets of metal, each 2/3 of an inch thick, is 5 1/3 inches.
To determine the thickness of a stack of 8 sheets of metal that are each 2/3 of an inch thick, we simply multiply the thickness of one sheet by the number of sheets in the stack:
(2/3 inch/sheet) x 8 sheets = (2/3) x 8
Now, we simplify the expression by multiplying 2 by 8 which equals 16, and then we keep the same denominator:
16/3 inches
This fraction can also be converted to a mixed number:
5 1/3 inches
So, the stack will be 5 1/3 inches thick.
Read the pic boiiiiiiiiiiiiiiiii
Answer:
a is the answer or 320 ft
Step-by-step explanation:
95*65=6175 ft^ for area
95+95+65+65=320 ft
fill in the blanks 1 1/2 is ____ % of 7 1/2 ; 7 1/2 is ____ % of 1 1/2
Answer:
20; 500
Step-by-step explanation:
1.5 is what percent of 7.5. 7.5 is 5 times 1.5, so 1.5 is 1/5 of 7.5. 1/5=20%. Inversely, 7.5 is 5 times 1.5, 5=500%.
[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}[/tex]; [tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}[/tex]
First, convert the mixed numbers to improper fractions:[tex]1 \frac{1}{2}[/tex] becomes [tex]\frac{3}{2}[/tex].
[tex]7 \frac{1}{2}[/tex] becomes [tex]\frac{15}{2}[/tex].
To determine the percentage, we use the percentage formula:[tex]\text{Percentage} = \frac{\text{part}}{\text{whiole}} \times 100\%[/tex]
Determine what percentage of [tex]1 \frac{1}{2}[/tex] is [tex]7 \frac{1}{2}[/tex]:[tex]\frac{\frac{3}{2}} {\frac{15}{2}} \times 100\% = \frac{3}{15}\times 100\% = \frac{1}{5}\times 100\% = 20\%.[/tex]
Thus,
[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}.[/tex]
For the second part, determine what percentage [tex]7\frac{1}{2}[/tex] is of [tex]1 \frac{1}{2}[/tex]:[tex]\frac{\frac{15}{2}} {\frac{3}{2}} \times 100\% = \frac{15}{3}\times 100\% = 5\times 100\% = 500\%.[/tex]
Thus,
[tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}.[/tex]
Complete question:
fill in the blanks:
[tex]1 \frac{1}{2}[/tex] is ____ % of [tex]7 \frac{1}{2}.[/tex] ; [tex]7 \frac{1}{2}[/tex] is ____ % of [tex]1 \frac{1}{2}.[/tex]
A home owner is building a square patio and will cover the patio with square tiles. Each tile has an area of 256 square inches and costs $3.45 each. The home owner has \$500 to spend on tiles. Calculate how many tiles the home owner can buy. Find the side length
(in feet) of the largest patio the home owner can build.
Answer:
The homeowner can buy 144 tiles maximum.
Side length = 16 feet.
Step-by-step explanation:
The cost of each tile is $3.45.
So, at $500, the homeowner can buy [tex]\frac{500}{3.45} = 144.92[/tex] ≈ 144 number of tiles. {As the number of tiles can not be a fraction.}
Since each tile is a square with area 256 square inches, so the homeowner can arrange the tiles in 12 by 12 arrangements.
Each tile has side length = √256 = 16 inches.
So, the side length of the largest patio is (16 × 12) inches = 16 feet. (Since, 1 foot = 12 inches). (Answer)
Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A
enter the ratios in reduced form:
Answer:
see explanation
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{20}{29}[/tex]
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{21}{29}[/tex]
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{20}{21}[/tex]
The functions sin, cos, and tan for a given angle in a right triangle are defined in terms of ratios of the side lengths. They are respectively the ratios of the opposite side to the hypotenuse, the adjacent side to the hypotenuse, and the opposite side to the adjacent side.
Explanation:In a right triangle, sin(A) is defined as the ratio of the side opposite to angle A (opposite side) to the hypotenuse, cos(A) as the ratio of the adjacent side to the hypotenuse, and tan(A) as the ratio of the opposite side to the adjacent side.
Suppose the lengths of the sides of the given right triangle are a, b, and c (where c is the length of the hypotenuse).
Then, sin(A) = a/c, cos(A) = b/c, and tan(A) = a/b. These ratios must be put in reduced form by simplifying the fractions if necessary.
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Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?
Answer:
In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.
Step-by-step explanation:
Given:
Cost of movie pass = $40
Cost per matinees with pass = $1.00
Cost per matinees without pass = $3.50
To Find:
Number of times must Seth attend in order for it to benefit his father to buy the pass = ?
Solution:
Let x be the number of times he wants to visit
To profit his father
The number of visits without pass = the number of visits with passin the cost of $3.50
Then, without pass if he visits for x times then the cost will be = 3.50x
Also with pass, the number of times he can visit the pass = [tex]\frac{40}{3.50}[/tex]
then
[tex]\frac{350 x}{3.50} = \frac{40}{3.50}[/tex]
[tex]3.50x = 40[/tex]
[tex]x = \frac{40}{3.50}[/tex]
x = 11.42
x = 11 (approx)
Alex wants to buy 4 pounds of peaches.They cost $1.20 per pound.How much will Alex need to spend for the peaches?
25. Belle had the choice of taking out a 4-year car loan at
8.5% simple interest or a 5-year car loan at 7.75%
simple interest. If she borrows $15,000, how much
interest would she pay for each loan? Which option
will require less interest?
Answer:
the first loan is cheaper
Step-by-step explanation:
convert percent values to decimals
8.5/100=.085
7.75/100=.0775
find the value for the first loan
1550*.085*4=527
find the value for the first loan
1550*.0775*5=600.625
compare
Belle would pay $5100 in interest for the 4-year loan at 8.5% and $5812.50 for the 5-year loan at 7.75%. Therefore, less interest would be paid with the 4-year loan.
Explanation:To calculate the simple interest, we use the formula I = P*R*T, where P is the principal amount, R is the interest rate, and T is the time in years.
For the 4-year loan at 8.5%, interest would be: I = $15,000 * 8.5/100 * 4 = $5100
For the 5-year loan at 7.75%, interest would be: I = $15,000 * 7.75/100 * 5 = $5,812.50.
So, the 4-year loan at 8.5% will require less interest payment.
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