Answer:
Brand A = 21 heart-rate watches.
Brand B = 13 heart-rate watches.
Step-by-step explanation:
Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.
We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.
We can represent this information in an equation as:
[tex]A+B=34...(1)[/tex]
We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.
We can represent this information in an equation as:
[tex]39.99*A+59.99*B=1619.66...(2)[/tex]
We will use substitution method to solve our system of equations.
From equation (1) we will get,
[tex]A=34-B[/tex]
Substituting [tex]A=34-B[/tex] in equation(2) we will get,
[tex]39.99*(34-B)+59.99*B=1619.66[/tex]
[tex]1359.66-39.99*B+59.99*B=1619.66[/tex]
[tex]-39.99*B+59.99*B=1619.66-1359.66[/tex]
[tex]20*B=260[/tex]
[tex]B=\frac{260}{20}[/tex]
[tex]B=13[/tex]
Therefore, the organisation purchased 13 heart-rate watches of brand B.
Now let us substitute B=13 in equation (1).
[tex]A+13=34[/tex]
[tex]A+13-13=34-13[/tex]
[tex]A=21[/tex]
Therefore, the organisation purchased 21 heart-rate watches of brand A.
What is the value of x in the equation , when ?
4.6
8.4
10
12
Answer:
x=8.4
Step-by-step explanation:
4x + 8 (0.8) = 40
4x = 40 - 6.4
4x = 33.6
x = 33.6/ 4
x= 8.4
B) 8.4..............
Which of the following would be considered important in including in the summary of an experimental investigation?
A.) variables that were manipulated during the experiment
B.) number of scientists involved in the experiment
C.) list of all materials and equipment used in the experiment
D.) laboratory room number in which the experiment took place
Question: Which of the following would be considered important in including in the summary of an experimental investigation?
Answer: variables that were manipulated during the experiment
Explanation: A variable is anything that can change in an experiment.
question answered by
(jacemorris04)
Hi There!
Answer:
A.) variables that were manipulated during the experiment
Least important to most important steps to include in a summary:
variables that were manipulated during the experiment.list of all materials and equipment used in the experiment.number of scientists involved in the experiment.laboratory room number in which the experiment took place.Hope This Helps :)
The cost T, in hundreds of dollars, of tuition and fees at many community colleges can be approximated by Upper T equals one half c plus 1
, where c is the number of credits for which a student registers. Graph the equation and use the graph to estimate the cost of tuition and fees when a student registers for 2 three-credit courses.
Which expression is equivalent to
Answer: a is greater and less than -5 AND a is less than 5 (second choice)
Step-by-step explanation: they’re both valid inequalities when leaving the absolute value alone. |a| becomes a.
Your school is planning a field trip to the zoo. There are two different bus companies that the school can use. Bus company A has a $25 rental fee of plus $4 for each student. Bus company B has a $115 rental fee plus $2 for each student. How many students will need to go in order for the bus to cost the same from both companies? a) 42 students b)73 students c)70 students d)45 students
Answer:
D. 45 students
25+4n=115+2n
-2n -2n
25+2n=115
-25 -25
2n=90
2n/2=90/2
n=45
The cost for both bus companies A and B is equal when there are 45 students on the trip. This result is achieved by setting the cost equations of the two companies equal to each other and solving for the number of students.
Explanation:To solve this problem, we set the cost equations for bus companies A and B equal to each other and solve for the number of students.
For company A, the cost is $25 (rental fee) + $4 per student. For company B, the cost is $115 (rental fee) + $2 per student.
So, the equation becomes: $25 + $4 * number of students = $115 + $2 * number of students.
If you rearrange that equation and solve for the student variable by subtracting $2 * students from both sides and subtracting $25 from both sides, you end up with $2 * students = $90.
This means that the number of students, when divided by $90 and $2, is equal to 45. Thus, 45 is the number of students for the bus cost from both companies to be equal. Therefore, the answer is (d) 45 students.
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on a piece of paper, graph f(x) = 2 • (3)^x. then determine which answer choice matches the graph you drew
I would make a table and plug in values for "x" in the equation to find f(x) or y
x = 0
[tex]f(x)=2*(3)^x[/tex]
[tex]f(0)=2*(3)^0[/tex](there is a rule that when the exponent is 0, the result is 1)
[tex]f(0)=2*1[/tex]
f(0) = 2 (0,2)
x = 1
[tex]f(x)=2*(3)^x[/tex]
[tex]f(1)=2*(3)^1[/tex]
[tex]f(1)=2*3[/tex]
f(1) = 6 (1,6)
You could do more points.
But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.
Your answer is B
Graph B matches with the function.
What are functions?A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
How to know which answer choice matches the graph ?The given function is f(x) = 2 ([tex](3)^{x}[/tex])
As ([tex](3)^{x}[/tex]) is always a positive number for any value of x, the given function can never be negative.So, option C is wrong
Again,
As the value of x increases, the value of y also increases which contradicts option D.So, option D is also wrong.
Now,
If x = 0, we get y = 2So, option A is wrong
Hence option B is correct which also satisfies all the conditions mentioned above.
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a bag contains 2 red marbles, 3 green marbles, and 2 black marbles what is the probability of drawing out a black marble
Answer:
P (black) = 2/7
Step-by-step explanation:
We need to know the total amount of marbles.
2 red + 3 green + 2 black = 7 marbles
P ( black) = number of black marbles / total marbles
= 2 /7
Find the difference.
Answer:
-2x-4
Step-by-step explanation:
(-7x-7y-4)-(-5x-7y)=-7x-7y-4+5x+7y=-7x-4+5x=-2x-4
Answer:
-2x - 4
Step-by-step explanation:
(- 7x - 7y - 4) - (-5x - 7y) Remove both sets of brackets-7x - 7y - 4 + 5x + 7y Notice the sign change in 6x and 7y Two minus signs multiplied together make a plus. Gather like terms.-7x + 5x - 7y + 7y - 4 Simplify-2x - 4 Note the ys cancel out.When a customer wants pie for dessert, you cut the whole pies into 7 equal slices. At the end of your shift, 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie?
Answer:
The answer is 13/7
Step-by-step explanation:
Answer:
13/7
Step-by-step explanation:
Tracy ran 1,000 meters in 5 minutes. How many meters/minutes did she run?
(Explain/show work)
Answer: If the question you are asking is how many meters Tracy ran per minute the answer would 200 meters per minute
Step-by-step explanation:
1) You would take 1,000 and divide it by 5
In order to check your work you can just multiply 200 by 5.
Hope this helped!
are the two statements equivalent the ratio of orange. to blue is 3 to 4
please help
Answer:
Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.
Step-by-step explanation:
If you divide both 3 and 4 by 2 you'd wind up with 1.5 ( 3 ) and 2 ( 4 ). When multiplying, you'd get 3x2 = 6 and 4x2=8, 3x3 = 9 and 4x3 = 12 and so on.
Find the area of the minor segment of a circle of radius 42cm, if the length of the corresponding arc is 44 cm.
Answer:
160.0 cm²
Step-by-step explanation:
R = 42 cm; s = 44 cm
1. Central angle θ (working in radians)
θ = s/R
θ = 44/42
θ = 22/21
===============
2. Area of sector
A = ½R²θ
A = ½(42)²(22/21)
A = ½(42×21×2)(22/21)
A = 924 cm²
===============
3. Area of triangle
A = ½R²sinθ
A = ½(42)²sin(22/21)
A = ½ ×1764 × 0.8662
A = 764.0 cm²
===============
4. Area of segment
Area of segment = Area of sector – area of triangle
= 924 – 764.0
= 160.0 cm²
The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]
Further explanation:
The formula of angle can be obtained as follows,
[tex]\boxed{\theta= \frac{{{\text{arc}}}}{{{\text{radius}}}}}[/tex]
The formula for area of sector can be expressed as follows,
[tex]\boxed{{\text{Area of sector}} = \frac{1}{2}{r^2}\theta }[/tex]
The formula for area of triangle can be expressed as follows,
[tex]\boxed{{\text{Area of triangle}} = \frac{1}{2}{r^2}\sin \theta }[/tex]
Given:
The radius of the circle is [tex]42{\text{ cm}}.[/tex]
The length of an arc is [tex]44{\text{ cm}}.[/tex]
Explanation:
The radius of the sector is [tex]42{\text{ cm}}[/tex] and the length of an arc is [tex]44{\text{ cm}}.[/tex]
The angle can be obtained as follows,
[tex]\begin{aligned}\theta&= \frac{l}{r}\\&=\frac{{44}}{{42}}\\&= \frac{{22}}{{21}}\\\end{aligned}[/tex]
Area of the triangle can be obtained as follows,
[tex]\begin{aligned}{\text{Area}}&= \frac{1}{2}{r^2}\sin {{\theta }}\\{\text{ }}=&\frac{1}{2}{\left( {42} \right)^2}\sin \left( {\frac{{22}}{{21}}} \right) \\&=882 \times 0.8662\\&=764{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
Area of sector can be obtained as follows,
[tex]\begin{aligned}A&= \frac{1}{2}{r^2}\theta\\&= \frac{1}{2} \times {\left( {42} \right)^2} \times \left({\frac{{22}}{{21}}} \right) \\&= 924{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
The area of segment can be obtained as follows,
[tex]\begin{aligned}{\text{Area of segment}}&= {\text{Area of sector}} - {\text{Area of triangle}}\\&= {\text{924}} - 764\\&= 160{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Area of Circles
Keywords: area, minor segment, circle, radius 42 cm, length of the corresponding arc is 44 cm, sector, segment.
Create a table of x and y values for the expression y/4=3/4x+2. Use the x values of -2,0, and 2. I need help with just number 2
Because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2 y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. Now you can do the same thing with 0 and 2 as x. You get y=8 when x=0 and y=14 when x=2.
x | y
-2 | 2
0 | 8
2 | 14
Logb A=2 and logb B=-3. Find logb AB
What is the absolute value of point D? A.-6 B.9 C.7 D.-7
The absolute value of a number is its distance from zero on the number line, which is always positive or zero. If point D is -7, its absolute value would be 7, matching option D in the given choices.
Explanation:The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. Therefore, it is always a positive value or zero. In this case, whether point D is -6, 9, 7, or -7, the absolute value would be the positive counterpart of that number.
To find the absolute value of point D, we look for the option that falls in line with the definition of absolute value. For option A (-6), the absolute value is 6; for option B (9), the absolute value remains 9; for option C (7), the absolute value remains 7; and for option D (-7), the absolute value is 7.
Thus, considering point D is given a negative value in the question, the correct answer for the absolute value of point D is 7, which corresponds to choice C if the value of D is 7 or D if the value of D is -7.
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Solve for b
-3=4/3+b
Answer:
B= -4.3 or -13/3
Simplify negative 2 and 1/9 − negative 4 and 1/3.
A. 2 and 2 /9
B. -6 and 4/9
C. -2 and 2/9
D. 6 and 4/9
Answer:
B. -6 and 4/9
Answer:
A. [tex] 2 \dfrac{2}{9} [/tex]
Step-by-step explanation:
[tex] -2\dfrac{1}{9} - \left(-4 \dfrac{1}{3} \right) = [/tex]
[tex] = -2\dfrac{1}{9} + 4 \dfrac{1}{3} [/tex]
[tex] = -\dfrac{19}{9} + \dfrac{13}{3} [/tex]
[tex] = -\dfrac{19}{9} + \dfrac{39}{9} [/tex]
[tex] = \dfrac{20}{9} [/tex]
[tex] = 2 \dfrac{2}{9} [/tex]
Solve for x: 4 (1-x)+2x=-3 (x+1)
Answer -7
Step-by-step explanation:
You buy 4 bags of sand and 3 bags of pea gravel for $24. In a second purchase (at the same prices), you buy 2 bags of sand for $6. Let x represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel.
Answer:
x = $3
y = $4
Step-by-step explanation:
We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.
Let X be the price of the sand
Be and the price of pea gravel
In the first purchase we have:
[tex]4x + 3y = 24[/tex]
In the second purchase we have
[tex]2x = 6[/tex]
Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.
Which of the following graphs shows the solution set to -2x + 8 is less than 12.
With a detailed explanation!!!
Answer: choice (3)
Open circle at -2; shading to the right of -2
==============================
Work Shown:
-2x+8 < 12
-2x+8-8 < 12-8 ... subtract 8 from both sides
-2x < 4
-2x/(-2) > 4/(-2) ... divide both sides by -2; sign flips
x > -2
To graph this, plot an open circle at -2 on the number line. Shade to the right of this open circle. The open circle means "this value is not included in the shaded solution region". The sign flips in the second to last step because we divided both sides by a negative number.
Answer:
3. x>-2 see graph
Step-by-step explanation:
-2x+8 < 12
Subtract 8 from each side
-2x+8 -8 <12-8
-2x <4
Divide by -2 (Remember this flips the inequality)
-2x/-2 > 4/-2
x >-2
Using the GCF, what is the factored form of 24v – 84?
Answer:
12(2v - 7)
Step-by-step
Solve 3.8 = p/3 - 7.2. Solve for p.
Answer:
I believe the answer to your question is p = 33
Step-by-step explanation:
Question: p÷3 - 7.2 = 3.8
Step 1: Add 7.2 to both sides of the equation
p÷3 - 7.2 = 3.8
+7.2 +7.2
p÷3 = 11
Adding 7.2 to both sides cancels out 7.2 on the left and whatever you do unto one side of an equation, you must do to the other (it's just a rule in math)
Step 2: Multiply by 3 on both sides
p÷3 = 11
x 3 x 3
p = 33
Same as last time; multiplying by 3 cancels out 3 on the left and whatever you do unto one side, you must do to the other
Answer:
p=33 is the answer
Step-by-step explanation:
Solve using elimination.
5x-4y=-21
-2x+4y=18
Answer:
(-1,4)
x=-1,y=4
Step-by-step explanation:
To solve by elimination, add the two equations together to eliminate y.
5x-4y=-21
-2x+4y=18
-----------------
3x = -3
Divide by 3
3x/3 = -3/3
x=-1
Now we still need to find y
-2x + 4y = 18
-2(-1) +4y =18
2+4y =18
Subtract 2 from each side
-2+2 + 4y = 18-2
4y = 16
Divide by 4
4y/4 = 16/4
y =4
how much pizza sauce is need to cover a 16" pizza? (16" is the diameter of the pizza)
Answer:
Approximately 201.06 in² of pizza sauce is needed
(if using the approximation π ≈ 3.14, then the answer is 200.96 in²)
Step-by-step explanation:
We assume that the pizza is perfectly circular and that we want to cover the entire surface. We need the formula for the surface area of a circle which is
A = πr²,
where r is the radius of the pizza.
By definition, the diameter is twice the radius. So the radius of this pizza is half of 16'' = 16 inches, which is 8 in.
Therefore, (using a calculator value for π instead of 3.14 approximation),
A = π(8 in)² = 64π in² ≈ 201.06 in².
Approximately 201.06 in² of pizza sauce is needed.
If you are need to use the approximation π ≈ 3.14, then the answer is 200.96 in²
Answer:
201.06 square inches
Step-by-step explanation:
We need to cover the whole surface area of the pizza so if the pizza is a circular one (using the typical shape), then we can use the formula of the area of a circle.
Area of a circle = pi * r^2
We are given the diameter of the circle to be 16 inches so its radius will be 8 inches.
Substituting this value of radius in the formula to get:
[tex]\pi r^2[/tex] = [tex]\pi (8)^2[/tex] = [tex]201.06[/tex]
Therefore, about 201.06 square inches of pizza sause is needed to cover the pizza.
I WILL GIVE BRAINLIEST, PLZ HELP! 3 out of 4 students in a class play a team sport. There are 28 students in the class. How many play a team sport?
Answer:
21.
Step-by-step explanation:
As 3/4 of the students play, we just have to multiply 3/4 by the total number of students.
3/4 * 28 = 84/4, or 21. 21 students play a team sport.
The thickness of each type of coin is shown in the table. How much thicker is a stack of a dollars worth of nickels than a dollars worth of quarters
Answer:
16 nickels thicker
Step-by-step explanation:
You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar. Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!
Is the error the zero’s?
Answer:
NO
Step-by-step explanation:
Because that just means they started off with 0
The error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.
The error in the given ratio table is that the values in the "total" row are not calculated correctly based on the provided "miles" and "gallon" values.
The values in the "total" row do not match the sum of the "miles" and "gallon" values for each corresponding column.
When miles = 0 and gallons = 0, the total should also be 0.
When miles = 10 and gallons = 2, the total should be 12.
When miles = 20 and gallons = 4, the total should be 24.
When miles = 30 and gallons = 6, the total should be 36.
When miles = 40 and gallons = 8, the total should be 48 (not 49).
When miles = 50 and gallons = 10, the total should be 60.
The error occurs in the row where miles = 40 and gallons = 8. The "total" value is listed as 49 instead of the correct value, which should be 48. So, the error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.
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a school cafeteria has 40 tables 35% of the tables have eight chairs at each table their remaining 65% of the tables have six chairs at each table complete the model then complete the statement to find the total number of chairs in the cafeteria
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the IQ that corresponds to a z-score of 2.33?
The IQ score that aligns with a z-score of 2.33 in a normal distribution having a mean of 100 and a standard deviation of 15 is approximately 135.
Explanation:The IQ score that corresponds to a z-score of 2.33 can be found using the z-score equation. In this equation, z is equal to (X - μ)/σ, where X is the value we're trying to find, μ is the mean, and σ is the standard deviation. Given that the mean (μ) is 100 and the standard deviation (σ) is 15, we can plug these values into the equation along with the z-score of 2.33 to solve for X. Through rearrangement of the z-score equation, X = zσ + μ. Substituting a z of 2.33, σ of 15, and μ of 100, gives X = (2.33*15) + 100 = 134.95. Hence, an IQ of approximately 135 corresponds to a z-score of 2.33 on a normally distributed IQ test.
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what property does the number sentence show on 8+0=8
Answer:
The property for 8 +0 = 8, Additive Identity Property