There are 52 blades of grass in 2 in2 of lawn. There are 580 blades of grass in 8 in2 of the same lawn. Which equation models the y blades of grass found in x in2 of lawn?
The equation that models the relationship between the number of blades of grass (y) and the area of lawn (x) is y=88x−124. This equation represents the rate of 88 blades per square inch with an initial count of 52 blades.
To find the equation that models the relationship between the number of blades of grass (y) and the area of lawn (x), we can use the given information to form a linear equation.
Step 1: Determine the rate of change. Subtract the initial number of blades from the final number and divide by the change in area: (580 - 52) / (8 - 2) = 528 / 6 = 88 blades per square inch.
Step 2: Write the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Step 3: Plug in the slope (m = 88) and one point (x = 2, y = 52) to find the y-intercept:
52 = 88(2) + b
52 = 176 + b
b = -124
Step 4: Write the equation:
y = 88x - 124
Zacarias and Paz together have $756.80. If Zacarias has $489.50, how much does Paz have? Write and solve an addition equation to find how much money belongs to Paz
Josie selected a number n. She divided n by 2 and then subtracted 0.5 from the result. She took half of that result and then subtracted 0.5 to get the final result of 10. What is the value of n?
15 POINTS!! HELP ME PLZ!!!
In conducting a survey of voters, a pollster selected every tenth name on a list of registered voters.
Which sampling technique did the pollster use?
a) convenience sampling
b) stratified sampling
c) systematic sampling
d) voluntary sampling
The answer is C: systematic sampling
Answer:
The awnser is C
Step-by-step explanation:
Sandy spun a spinner with 5 equal parts labeled 1-5. What is the probability she will Not spin a 4
The probability that she will not spin a 4 will be 0.80 or 4/5.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Sandy spun a spinner with 5 equal parts labeled 1-5. Then the total number of events will be given as,
Total events = 5 {1, 2, 3, 4, 5}
Then the favorable events are given as,
Favorable events = 4 {1, 2, 3, 5}
Then the probability is given as,
P = 4 / 5
P = 0.80
The probability that she will not spin a 4 will be 0.80 or 4/5.
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Final answer:
The probability that Sandy will not spin a 4 on a spinner with 5 equal parts is 4/5 or 80%. There are 4 favorable outcomes and 5 possible outcomes in total.
Explanation:
The question asks for the probability that Sandy will not spin a 4 on a spinner that's divided into 5 equal parts, each labeled with the numbers 1-5. Since there are 5 outcomes and only one of them is the one we want to avoid, that leaves us with 4 favorable outcomes (spinning a 1, 2, 3, or 5). The probability of not spinning a 4 is therefore the number of favorable outcomes (not spinning a 4) divided by the total number of possible outcomes (spinning any number from 1 to 5).
To calculate this, we divide the favorable outcomes by the total number of outcomes. This gives us a probability of 4/5, or 80%. The calculation is as follows:
Number of favorable outcomes: 4 (spinning a 1, 2, 3, or 5)Total number of outcomes: 5 (spinning any number from 1 to 5)Therefore, P(not spinning a 4) = 4 favorable outcomes / 5 total outcomes = 4/5 or 0.8, which means there is an 80% chance that Sandy will not spin a 4.
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
how many kilograms is in 2,500 dekagrams
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow?
A. 4 feet
B. 5 feet
C. 6 feet
D. 7 feet
Can someone help me on both of the questions?!
Step-by-step explanation:
The expression for the pressure in terms of force is as follows;
[tex]P= \frac{F}{A}[/tex]
Here, F is the force, P is the pressure and A is the area.
It is given in the problem that an object exerts 140 N of force on a surface that has an area of 2.0 meter square.
Put F= 140 N and A= 2 meter square in the above expression.
[tex]P= \frac{140}{2}[/tex]
[tex]P= 70 N/m^2[/tex]
Therefore, the pressure exerts on the object is 70 N/m^2.
The motion of air particles inside an inflated balloons:
In the inflated balloons, the molecules of air are far apart. These molecules are in random motion. They collide each other inside the surface of the balloons. The pressure will be exerted by the air molecules on the surface of the balloons. The pressure caused by atmospheric molecules collides with the outside the surface is equal to the pressure caused by atmospheric molecules collides with inside the surface of the inflated balloons. Therefore, the volume of the balloons remains constant.
Which word has line symmetry, DAD, ODE, or HOME
A party is thrown where 25 tables are used. Each table either sits 4people or 6 people. A total of 116 people can be sat at the tables.
1- if f represent the number of four person tables and s represents the number of six person tables, write a system of equations that models this equation.
2- how many six person tables are there?
how do you write this in numerical expression and in a answer statement
One lap around the track is 1/4 mile. Abby ran around the track 13 times.How far did she run?
What is the sixth term in the binomial expression (5y+3)^10
Answer : The sixth term in the binomial expression is, [tex]^{10}C_5a^{5}b^{5}[/tex]
Step-by-step explanation :
The general formula to calculate the term of binomial expression is:
[tex]T_(r+1)=^nC_ra^{(n-r)}b^r[/tex]
where,
(r+1) = number of term
As we are given the binomial expression :
[tex](5y+3)^{10}[/tex]
For sixth term :
a = 5y
b = 3
n = 10
As, r + 1 = 6
So, r = 6 - 1
r = 5
Now put all the given values in the above formula, we get:
[tex]T_(r+1)=^nC_ra^{(n-r)}b^r[/tex]
[tex]T_(5)=^{10}C_5a^{10-5}b^5[/tex]
[tex]T_(5)=^{10}C_5a^{5}b^{5}[/tex]
Thus, the sixth term in the binomial expression is, [tex]^{10}C_5a^{5}b^{5}[/tex]
Does 60, 63, 87 form a right triangle
A kite has vertices at (2,4) (5,5) (5,1) and (0,-1) what is the approximate perimeter of the kite?
Fiona earns $15 for each lawn she mows. Which inequality can be used to find out how many lawns she must mow to earn at least $135?
Final answer:
Fiona needs to mow at least 9 lawns to earn at least $135, represented by the inequality 15L ≥ 135, where L is the number of lawns mowed.
Explanation:
To determine how many lawns Fiona must mow to earn at least $135, we can set up an inequality. Fiona earns $15 for each lawn she mows, therefore if we let L represent the number of lawns mowed, then Fiona's earnings can be represented by 15L. She needs to earn at least $135, so we can write the inequality as 15L ≥ 135. To find L, we divide both sides of the inequality by 15, which gives us L ≥ 9. Therefore, Fiona must mow at least 9 lawns to earn at least $135.
the elevation of Denver Colorado is 13 times greater than that of waikapu. hawaii.the sum of their elevations is 5600 ft. find the elevation of each city
Answer:
400ft
Step-by-step explanation:
The elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet, derived from a simple algebraic equation based on their given relationship and sum of elevations.
We are given that the elevation of Denver, Colorado is 13 times greater than that of Waikapu, Hawaii, and the sum of their elevations is 5600 ft. To find the elevation of each city, we can set up a system of equations.
Let x represent the elevation of Waikapu, then the elevation of Denver is 13x. According to the problem, we can set up the equation as follows:
x + 13x = 5600
Combining like terms gives us:
14x = 5600
Dividing both sides by 14 to isolate x gives us:
x = 5600 / 14
x = 400
Now that we have the elevation of Waikapu, we can find Denver's elevation by multiplying 400 by 13:
Denver's elevation = 13 x 400 = 5200 ft
Therefore, the elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet.
The area of the triangle shown is represented by A= square root of s(s-10)(s-7)(s-5), where s is equal to half the perimeter. What is the height of the triangle? Round your answer to the nearest tenth.
A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.And please explain how you got the answer
The date set with the greater range is neither as the range is the same.
The median is not the same for both sets of data.
What is a median?
It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Number of boys = 10
The number of hours from the 10 boys.
= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20
Range = Highest value - Lowest value
= 20 - 8
= 12
Median = (12 + 13)/2 = 25/2 = 12.5
Number of girls = 10
The number of hours from the 10 girls.
= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15
Range = Highest value - Lowest value
= 15 - 3
= 12
Median = (7 + 8)/2 = 15/2 = 7.5
Thus,
The range of both boys and girls is the same.
The median of boy's number of hours is 12.5.
The median of girl's number of hours is 7.5.
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Each option below lists three expressions. Which option lists expressions that are not equivalent?
A) 81^3/4 ; 27 ; ^4square root of81^3
B) 8 ; ^4square root of16^3 ; 16^.75
C) (625^.25)^3 ; (625^3)^1/4 ; 125
D) 256 ; 1,296^3/4 ; ^4square root of1,296^3
Answer:
D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3
Let's rewrite the expression step by step:
1296 ^ 3/4
(1296) ^ (3/4)
(1296 ^ 3) ^ (1/4)
(2176782336) ^ (1/4)
216
This result is different from 256.
Answer:
D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3
Step-by-step explanation:
1.3-2.1g when g is 1.9. Can you please help? I keep getting 2.69 but the paper shows the answer to be 5.29
Round 0.68 to the nearest tenth
Answer:
0.7
Step-by-step explanation:
combine the like terms 10 y + 1 x - 4y + 4x
Horace buys 2/4 pounds of blueberries for a pie he needs 48 ounces for the pie how many more pounds of blueberries does he need to buy
Horace need to buys 2.5 pounds of blueberries
Horace buys 2/4 pounds of blueberries48 ounce of blueberries needed for a pieTo determine how many pounds of blueberries that Horace need to buy, we have to convert ounces because this mathematical question is related to unit conversion.Further Explanation1 pounds = 16 ounces, therefore,
3 pounds = 48 ounces (we multiply 16 and 3 = 48)
To find how many pounds he need to by = 3 ounces – [tex]\frac{2}{4}[/tex]
= 3 – [tex]\frac{2}{4}[/tex]
= [tex]\frac{3}{1}[/tex] – [tex]\frac{2}{4}[/tex] (4 is the smallest number can divide both denominator) therefore, we have
= (4 x 3) – (1 x 2) / 4
= 12 - 2 / 4
= [tex]\frac{10}{4}[/tex]
= 2.5
Thus, Horace buys 2.5 pounds of blueberries.
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The canadian side of niagara falls has a flow rate of 600000 gallons per second how many gallons of water flow over the falls in one minute brainly.com/question/3524504Charlotte is traveling 15 meters per second. Which expression could be used to convert this speed to kilometers per hour brainly.com/question/11053063KEYWORDS:
Horace2/4 poundsblueberriespie48 ouncesAn object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object?
Write an exponential growth function to model each situation. Please answer questions 1 2 3 and 4
Can You show me how to do this?
Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is 12 inches, what is the width of QRST?
Answer:
7.5
Step-by-step explanation:
1. A parallelogram with four congruent sides is a? 2. A polygon with all angles congruent is a? 3. Angles of a polygon that share a side are? 4. A blank is a quadrilateral with exactly one pair of parallel sides?