Answer: b= 4a
( This is the correct answer, which is supposed to be option b, but a negative sign was put instead of an equal sign, so you can change appropriately)
Step-by-step explanation:
Given that a and b vary directly, can be expressed as
a ∝ b
Introducing the constant of proportionality, k, we have that
a = kb
so when a= 2, b= 8 and the constant becomes
2 = k8
k = 2/8=1/ 4
a= 1/4b
Such that
b=4a
Jessica wanted to know how much farther she ran in Week 2 than in Week 1. Her work is below.
15.05 minus 11.90 = 5.95. The decimals in the equation are all aligned. The 0 in 15.05 is crossed out and a 10 is above it. The first 5 in 15.05 is crossed out and a 6 is above it.
What mistakes did Jessica make when solving the problem? Select all that apply.
She did not align the decimal points.
She did not subtract 10 and 9 correctly.
She subtracted instead of adding.
She did not rename correctly.
PLZ HELP
Answer:
She did not subtract 10 and 9 correctly. she did not rename correctly.
Step-by-step explanation:
your welcome :) hehe
Answer:
B and DStep-by-step explanation:
It's correct look at the pic
I NEED HELP ASAP!!!
Which of the following expressions represents “the difference between a number and eleven”?
11 – n
-11 n
n + 11
n – 11
All of the following represent the same concept except _____.
a number minus five
five more than a number
the sum of a number and five
a number increased by five
thank you!!
Answer/Step-by-step explanation:
1. Which of the following expressions represents “the difference between a number and eleven”?
Answer: n - 11
Explanation:
"11 - n": eleven minus a number
"-11 n": eleven times a number
"n + 11": the sum of a number plus eleven
2. All of the following represent the same concept except _____.
Answer: a number minus five
Explanation: The other answers represent a number + five
I hope this helps!
Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?
The values of r and s is -1 and -4 respectively.
Given that:-
coordinates of j are (-8,-5)
coordinates of l are (6,-11)
coordinates of k are (r-4,2s)
Also, k is the mid-point of jl.
We have to find the values of r and s.
We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).
Here,
(x,y) = (-8.-5)
(z,w) = (6,-11)
(r-4,2s) = ((x+z)/2,(y+w)/2)
Hence,
(r-4,2s) = ((-8+6)/2,(-5-11)/2)
(r-4,2s) = (-1,-8)
Comparing the coordinates, we get:-
r - 4 = -1
r = -1+4 =3
2s = -8
s =-8/2 = -4
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Could someone help me answer this will mark brainlest
Answer:
x+10=55
x=45
Step-by-step explanation:
x+10=55
x=45
x=45 and the equation is (x+10)=55
Answer:
1.First set them equal to each other
(x+10)=55
2. Then minus 10 from both sides
x+10=55
-10. -10
x=45
The perimeter of the figure below is 151.3 ft. Find the length of the missing side.
10.5 ft
10.5 ft
10.5 ft
10.5 ft
23.2 ft
(Noter diagram is NOT to seale)
11.3 ft
?
10.5 ft
10.5 ft
10.5 ft
23.2 ft
10.5 ft
Answer:
Step-by-step explanation:
Perimerter is 9.6ft
A blue ray player cost $187.60. A 20% down payment is required with monthly payments of $39.40 for 4 months. What is the price paid for the blue ray player? What is the finance charge?
cost = $187.60
20% down
4 months of $39.40
1.- Calculate the 20%
187,6 ------------------- 100
x -------------------- 20
x = (20 x 187.6) / 100
x = 3752/100
x = 37.52
2.- Calculate the final price
Price paid = 37.52 + 4(39.40)
Price paid = 37.52 + 157.6
= $195.12
2.- Finance charge
= 195.12 - 37.52
= $157.6
Right triangle ABC is shown below.
A similar right triangle would be created by a run of 4 and a rise of
The answer is 12
Step-by-step explanat
Answer:
12
Step-by-step explanation:
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
three six-sided, fair dice are rolled. what is the probability that none of the outcomes is an even number
the probability that none of the outcomes is an even number is 1/8 or approximately 0.125
The probability of rolling an even number on a fair six-sided die is 3/6 or 1/2, and the probability of rolling an odd number is also 1/2.
To find the probability that none of the outcomes is an even number, we need to calculate the probability of rolling an odd number on all three dice. Since the dice are rolled independently, we can multiply the probabilities together to get the overall probability:
P(rolling odd on one die) = \(1/2\)
P(rolling odd on two dice) = \((1/2)^2 = 1/4\)
P(rolling odd on three dice) =\((1/2)^3 = 1/8\)
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Factor using the GCF. 7x + 35
1 point
O 7x + 35 Prime (cannot be factored)
O 7(x + 35)
O 7(7x + 5)
O 7(x + 5)
x
Brian is downloading episodes of his favorite TV show to
play on his personal media device. The cost to download
1 episode is $1.99. The cost to download 2 episodes is
$3.98. The cost to download 3 episodes is $5.97. Write a
function to represent the arithmetic sequence.
an
=
n
I
Answer:
I had the same question for math high school but the answer is 1.99
Step-by-step explanation:
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?
Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
\(\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}\)
\(\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}\)
\(\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}\)
\(\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}\)
\(\rightarrow\sf{Number\:of\: cubes=2\times3}\)
\(\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}\)
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
Part of your summer job is to count the number mosquitoes that get caught in traps around your city. At one trap, you count mosquitoes each week ("week 0" means the first day you counted) and record the following numbers:
Use a calculator or graphing technology to determine which of the following functions matches the numbers you counted in these first few weeks.
A) M (w) = 4(w) + 8
B) M (w) = 1.5 (8^w)
C) M (w) = 8 (1.5^w)
D) w = 8 (1.5^M)
Therefore, the function that matches the mosquito counts is'(w) = 8(\(1.5^{w}\)).
by the question.
To determine which function matches the mosquito counts, we can plot the given data points on a graph and see which function fits the curve. Here are the counts for the first few weeks:
Week Mosquito Count
0 8
1 20
2 50
3 125
4 312
Plotting these points on a graph with weeks on the x-axis and mosquito count on the y-axis, we get:
mosquito graph
Looking at the graph, we can see that the curve increases rapidly and seems to be exponential. This rule out option A (which is linear), leaving us with options B, C, and D.
To determine which of these options matches the data, we can try plugging in the week numbers and seeing which one gives us values close to the actual counts. We can also use a calculator or graphing technology to help us with this.
Option B gives us the following mosquito counts for the first five weeks:
Week Mosquito Count
0 8
1 19.5
2 47.25
3 114.19
4 276.32
Option C gives us:
Week Mosquito Count
0 8
1 12
2 18
3 27
4 40.5
Option D is not a function of mosquito counts with weeks as the input variable, so we can rule it out.
Comparing the values from options B and C to the actual counts, we can see that option C is the closest match.
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What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
Answer:3
Step-by-step explanation:
2085
6.) A pizza box has a base with an area of 49 in². If the length of the pizza
box is 14 inches, what is the total volume of the pizza boxes?
PLEASE GIVE ME BRAINLIEST! :)
The height of the pizza box is not given, but we can assume that it is equal to the width, since the box is rectangular.If the length is 14 inches, then the width is:width = base area / length
width = 49 in² / 14 in
width = 3.5 inSo the height is also 3.5 inches.Now we can calculate the volume:Volume = base area x height
Volume = 49 in² x 3.5 in
Volume = 171.5 in³Therefore, the total volume of the pizza boxes is 171.5 cubic inches.
what is the name for a data value that is far above or below the rest?
The name for a data value that is far above or below the rest is called an outlier.
An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.
When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.
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The quotient of two numbers is 4 and the difference between the two numbers is 6. Find the two numbers?
Answer:
2 and 8
Step-by-step explanation:
let the 2 numbers be x and y, with x greater than y
the quotient of 2 numbers is the result of division of the 2 numbers, so
\(\frac{x}{y}\) = 4 ( multiply both sides by y )
x = 4y → (1)
x - y = 6 ← (2) is the difference of the 2 numbers
substitute x = 4y into (2)
4y - y = 6
3y = 6 ( divide both sides by 3 )
y = 2
substitute y = 2 into (1)
x = 4y = 4 × 2 = 8
the 2 numbers are 2 and 8
The quotient of two numbers is 4 and the difference between the two numbers is 6. The two numbers that satisfy the given condition are 8 and 2.
Let's assume the two numbers as x and y.
According to the given information:
The quotient of two numbers is 4, which means x/y = 4.
The difference between the two numbers is 6, which means x - y = 6.
We can solve these two equations simultaneously to find the values of x and y.
From the first equation, we have x = 4y.
Substituting this value of x into the second equation, we get:
4y - y = 6
3y = 6
y = 2
Now, substitute the value of y back into the first equation to find x:
x = 4 * 2
x = 8
Therefore, the two numbers are x = 8 and y = 2.
The two numbers are 8 and 2.
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awa's parents are saving to buy a new car for her 16th birthday. the function y=125x+3200 represents the relationship between the number of months her parents have been saving and the amount in their account. what does the number 3200 represent in the context of the problem?
Given the equation that represents the relationship between the number of months her parents have been saving and the amount in their account.
3200 is like the intercept and the amount already in the account based on the context of the problem.
The amount in the account is along the y axis of the line and since y intercept is the point where the line cuts the y axis and 3200 lies on the y axis hence 3200 will be the money already in the account.
Circle any of the following that are isotopes of gallium-69. Explain your choices in 1-2 sentences.
Ga71
31
Ga69
30
Ga67
31
Ga66
32
The isotopes of gallium-69 are Ga71 and Ga67.
Ga71 is an isotope of gallium-69 because it has the same number of protons (31) but a different number of neutrons (40) compared to the standard isotope of gallium-69 (31 protons and 38 neutrons).
Ga67 is another isotope of gallium-69 because it also has 31 protons but a different number of neutrons (36) compared to the standard isotope of gallium-69.
These isotopes have different mass numbers due to the varying number of neutrons, while still retaining the same number of protons. Isotopes of an element have the same atomic number (number of protons) but different mass numbers.
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the decimal number system uses nine different symbols. true false
The decimal number system uses nine different symbols is False as the decimal number system actually uses ten different symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. These ten symbols, also known as digits, are used to represent all possible numerical values in the decimal system.
Each digit's position in a number determines its value, and the combination of digits creates unique numbers. This system is widely used in everyday life and forms the basis for arithmetic operations and mathematical calculations. Thus, the decimal number system consists of ten symbols, not nine.
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A certain city covers an area of 31.2 mi2. How many square kilometers is this? Use the conversion factor 1 mile = 1.61 km.
The city covers an area of 80.38 square kilometers.
To calculate the number of square kilometers in 31.2 square miles, we need to use the given conversion factor 1 mile = 1.61 km. We can do this by multiplying the number of square miles by the square of the conversion factor.
Hence, the number of square kilometers in 31.2 mi² is calculated as follows:
1 mi² = 1.61² km² (square both sides to convert square miles to square kilometers)1 mi² = 2.5921 km² (square of 1.61)
Now, we can calculate the area in square kilometers by multiplying the number of square miles by the area conversion factor:
31.2 mi² × 2.5921 km²/mi² = 80.38 km²
Therefore, the city covers an area of 80.38 square kilometers.
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Question: For a test of Upper H 0 : p equals 0.50H0: p=0.50, the z test statistic equals 2.582.58.
a. Find the P-values for
(i)
Upper H Subscript a Baseline : p greater than 0.50Ha: p>0.50 is (?) Round to three decimal places as needed
(ii)
Upper H Subscript a Baseline : p not equals 0.50Ha: p≠0.50is (?) Round to three decimal places as needed
(iii)
Upper H Subscript a Baseline : p less than 0.50Ha: p<0.50 is (?) Round to three decimal places as needed
b. Do any of the P-values in (a) provide strong evidence against
Upper H 0H0?
Explain.
[Yes or No] The [(i and(ii) are], [ii and iii are], [i and iii are], [iii is], [ii is], [i, ii, and iii are all] VERY [Small or Large]?
Yes, the P-values in (i) and (ii) are both very small, providing strong evidence against the null hypothesis.
(i) Upper Ha: p > 0.50Ha: p > 0.50 is 0.0045.
(ii) Upper Ha: p ≠ 0.50Ha: p ≠ 0.50 is 0.0090.
(iii) Upper Ha: p < 0.50Ha: p < 0.50 is 0.9955.
Yes, the P-values in (i) and (ii) are both very small. This indicates that the probability of observing a test statistic as or more extreme than the one we have is very low, or in other words, it is very unlikely that the null hypothesis would be true. This provides strong evidence against the null hypothesis.
To calculate the P-values, the z-score (2.582) was converted to a p-value using the standard normal distribution table. For (i) and (ii), the p-value was determined by finding the area under the curve that is greater than the z-score. For (iii), the p-value was determined by finding the area under the curve that is less than the z-score. This was then subtracted from 1 to obtain the p-value for (iii).
Yes, the P-values in (i) and (ii) are both very small, providing strong evidence against the null hypothesis.
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Alex has 10 different kinds of lunch meat and 9 different kinds of cheese. If he wants to make a sandwich with one kind of meat and two kinds of cheese, how many different sandwiches could he make
Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.
To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.
To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.
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Your family used two full tanks ofgasoline on a road trip. Your car drives about 25 miles per gallon, andthe tank holds 12 gallons of gasoline.a. Find the approximate number of gallons of gasoline used on the trip.b. Find the approximate number of miles you drove on the trip.c. Calculate Assume gasoline costs $1.50 per gallon. How much didyou spend per mile on gasoline?d. Apply You have $20 to spend on gasoline for another trip. The trip is350 miles. You spend the same amount per mile on gasoline as onthe first trip. Do you have enough money for gasoline? Explain.
Answer:
a. 24
b.600
c.36
d. No
Step-by-step explanation:
a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.
b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.
c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36
d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.
How can you convert the dimesions of the area rug from inches to feet?
Answer:
1 foot equals 12 inches
Step-by-step explanation:
Answer:
Divide the inches by 12
Step-by-step explanation:
\(12 in = 1 ft\\ 1 in =\frac{1}{12} ft\\ x in =\frac{x}{12} ft\)
Each letter in this equation represents a unique digit. If U stands for 8 and the
other numbers used are 1 through 4, what is one possible answer?
Answer:
4x2=8
Step-by-step explanation:
This equation is simple and easy cause its base sick math
Eff’ mom ak him to water the gra before he leave at 9:50 a. M. For wim practice. There are five location that require different prinkler etting, and each location require 25 minute of water. Jeff aume it will take him no more than 2 minute to change the prinkler, which mut be done for 4 location. What i the latet time that Jeff can tart watering and till be ready to leave for wim practice at 9:50 a. M. ?
Jeff needs to start watering at 8:57 a.m. to be ready to leave for swim practice at 9:50 a.m.
Let's start by calculating the total watering time as follows -
5 locations * 25 minutes each = 125 minutes of watering time
4 locations * 2 minutes each for changing the sprinkler = 8 minutes for changing the sprinkler.
Hence, total time = 125 minutes + 8 minutes = 133 minutes
So, Jeff needs 133 minutes for watering the garden. The latest time he should start is 9:50 a.m. - 133 minutes = 9:50 a.m. - 2 hrs 13 minutes = 8:57 a.m.
Therefore, Jeff needs to start watering around 8:57 a.m. to be ready to leave for swim practice at 9:50 a.m.
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What is the value of R at the end of the code? x=4; y=5; z=8; x=x+y; R=y; if (x>y) { R=x; } if(z>x&&z>y) { R=z; }
Since z is greater than both, it assigns the value of z to R, making it 8. Therefore, at the end of the code, the value of R would be 8.
At the end of the code, the value of R would be 8. The code first adds the value of y to x, making x equal to 9. It then sets the value of R to y, which is 5. The first if statement compares x to y and since x is greater than y, it assigns the value of x to R, making it 9. The second if statement checks if z is greater than both x and y.
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simplify the following expression 4(x+3)
Answer:
4x+12
Step-by-step explanation:
hereeeeere you go?!
Answer:
4x + 12
Step-by-step explanation:
Louise is walking 12 miles to raise funds for a local cause. If she has completed 3 4 of the distance, how many miles has she walked? A. 6 B. 9 C. 8 D. 7.
Louise has walked B. 9 miles
Since Louise is walking 12 miles to raise funds for a local cause. and If she has completed 3/4 of the distance, the number of miles she has walked, t = total distance × fraction of total distance.
Since total distance = 12 miles, and fraction of total distance = 3/4.
Total number of milesThe number of miles she has walked, t = total distance × fraction of total distance.
Substituting the values of the variables into the equation, we have
t = 12 × 3/4
t = 3 × 3
t = 9 miles.
So, Louise has walked B. 9 miles
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Answer: 9
Step-by-step explanation:
because i know