Answer:
\(\frac{x}{2} = -1.5\)
Step-by-step explanation:
To isolate the x, we need to multiply both sides by the denominator. For example, in the equation \(\frac{x}{2} = -1.5\), we can multiply both sides by 2 to get \(2 * \frac{x}{2} = 2 * -1.5\), so x = 3.
A car leaves a city at the rate of 60 mi/h and goes 80 miles before a second car follows at a rate of 70 mi/h. In this situation, let x= the number of hours, and y= the distance the car travels. The distance the first car travels can be represented by the equation y=60x+80.
Write the equation that represents the distance traveled by the second car.
The equation that represents the distance traveled by the second car is 60(t + 1.33).
Let t = travel time of the 2nd car when it overtakes the 1st
:
Find the travel time of the 1st car to go 80 mi; time = dist/speed
time = 80%2F60
time = 1.33 hrs for the 1st car to go 80 mi
therefore
(t+1.33) = travel time of the 1st car when it is overtaken
:
When the 2nd overtakes the 1st, they will have traveled the same distance
Write a distance equation, dist = speed * time
:
2nd car dist = 1st car dist
70t = 60(t+1.33)
70t = 60t + 80
70t - 60t = 80
10t = 80
t = 8 hrs travel time of the 2nd car to overtake the 1st
:
;
Confirm this by finding the actual distances, should be equal
70*8 = 560 mi
60*9.33 ~ 560 mi
Hence , the equation that represents the distance traveled by the second car is 60(t + 1.33).
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somebody help with this
Answer:
-27
Step-by-step explanation:
5(-3)^3(5)^-1
5(-27)(1/5)
-135(1/5)
-135/5
-27
Hopes this helps please mark brainliest
PLEASE HELP WILL GIVE BRAINLIEST!
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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No calculator
If r + 9 is 4 more than s, then r-11 is how
much less than s?
A) 9
B) 11
C) 16
D) 20
Answer:
16
Step-by-step explanation:
Given that :
r + 9 = 4 greater Than s
r - 1 1 is how much less than s
r + 9 = s + 4
Solve for r
Subtract 9 from both sides
r + 9 - 9 = s + 4 - 9
r = s - 5
Hence,
r - 11 = (s - 5) - 11
r - 11 = s - 5 - 11
r - 11 = s - 16
r - 11 = s - 16
Therefore, r - 11 is 16 less than s
In a recent year, 34.3% of all registered doctors were female. If there were 51,300 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number
Answer:
-999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
Step-by-step explanation: The way he leaps off of rooftops and flips backwards to face the camera before falling into a head first dive is just full of the exaggerated swagger of a Black teen.
If y varies inversely as X and y=16 when X=4,find y when X=32
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)
Lesson 6 SOLVE PROBLEMS WITH MULTIPLICATION AND DIVISION
Mr. Santiago teaches art classes on the weekends at the rec center. He has
ockage has 4 boxes of crayons
Mr. Santiago needs to purchase 12 more boxes of crayons to have enough for all of his students.
Mr. Santiago teaches art classes on the weekends at the rec center.
He has 48 students in his class.
Each student needs a box of crayons that contains 24 crayons.
Mr. Santiago's st blockage has 4 boxes of crayons.
The question requires you to find out how many more boxes of crayons Mr. Santiago needs to purchase to have enough for all of his students.
We can solve this by using multiplication and division.
48 students need a box of crayons with 24 crayons each.
The total number of crayons required is:
48 x 24 = 1152.
Since Mr. Santiago already has 4 boxes of crayons, the total number of crayons he has is :
4 x 24 = 96
To find out how many more boxes he needs, we can divide the total number of crayons required by the number of crayons he already has.
1152 / 96 = 12
Therefore, the answer is 12.
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Points A, B, C, D, and E are collinear and in
that order. Find AC.if AE = x + 50 and
CE = x + 32.
Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.
According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.
Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.
The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.
by the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
AC = x+50-x-32
AC = 18
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The graph of h(x) = x2 – 3 is a translation of the
graph of f(x)
by
units.
Answer: down, by 3 units
Step-by-step explanation: -3 is negative so you go down on the graph 3 times
Answer:
down by 3 units
Step-by-step explanation:
i just did this assignment on edg
Georgia is interested in selling her company. Before seeking a buyer, she wants her income statements to show a trend of increasing gross profits.
Answer:
que esta since riheeeee
Cual es el resultado de la división 1771.2 entre 48
Responder: 36.9
explicación paso a paso:
1771.2 / 48 = 36.9
order the number from least to greatest: 10^5 10^-99 10^-17 10^14 10^-5 10^30
Answer:
I think it goes like this: 10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30
Step-by-step explanation:
Find the x intercepts. Show all possible solutions.
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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A carton’s volume (shape 1) is 192 cm³.
The manufacturer wants to change the profile of the carton whilst keeping the volume the same.
They reduce the longest side of the base to be a square, 4 cm x 4 cm (shape 2).
The volume still needs to be 192 cm, so what will the length of the third side need to be?
Answer:
12 cm
Step-by-step explanation:
Volume = length x width x height = 192 cm cubed
4 x 4 x ? = 192 cm
16 x ? = 192
? = 192 / 16
? = 12 cm
The length of the third side of the new carton is 12 cm.The volume of a box is given by the product of the length, width, and height. In shape 1, let the length, width, and height be l, w, and h respectively. We are given that the volume is 192 cm³.
l x w x h = 192 cm³
In shape 2, the length and width are both 4 cm. Let the height be h. The volume is still 192 cm³.
4 x 4 x h = 192 cm³
h = 192 cm³ / 16 cm² = 12 cm
Therefore, the length of the third side of the new carton is 12 cm.
Here is an explanation of the steps involved in solving the problem:
Identify the known and unknown quantities. The known quantity is the volume of the box, which is 192 cm³. The unknown quantity is the length of the third side of the new carton.
Set up an equation. We can set up an equation by setting the volume of the old carton equal to the volume of the new carton. This gives us:
l x w x h = 4 x 4 x h
Substitute known values. The length and width of the new carton are both 4 cm. So we have:
l x w x h = 4 x 4 x h = 16 h
Solve for the unknown quantity. To solve for the unknown quantity, we can divide both sides of the equation by 16. This gives us:
h = 192 cm³ / 16 cm² = 12 cm
Therefore, the length of the third side of the new carton is 12 cm.
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Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. What is the number of rolls of paper used per wall?
The number of rolls of paper used per wall will be 1.5 rolls per wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.
Then the number of rolls of paper used per wall is given as,
⇒ 6 / 4
⇒ 1.5 rolls per wall
The number of rolls of paper used per wall will be 1.5 rolls per wall.
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What is its equation in slope-intercept form ?
Answer:
Candice
Step-by-step explanation:
does the data in the data in the table represent a direct variation or an inverse variation. write an equation to model the data in the table
x 2 4 8 12
y 4 2 1 2/3
Answer:
y = 8/x
Step-by-step explanation:
Y goes down when X goes up, so the variation is not direct.
The product of x and y is a constant, 8, so that is the constant associated with the inverse variation formula:
y = k/x
xy = k = 8
So, the model is ...
y = 8/x
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
I think D because CBD is half of ABC
Step-by-step explanation:
If I am wrong I appologize
Which of these are overlapping events?Drawing a Queen of Hearts or a Jack of Spades from a standard deck of cards
Drawing a face card or a 9 from a standard deck of cards
Drawing a Diamond or a Club from a standard deck of cards
Drawing a red card or a Queen from a standard deck of cards
Therefore , the solution of the given problem of probability comes out to be the right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."
What precisely is involved in the chance procedure?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
Because the Queen of Hearts and Jack of Spades are not face cards or nines,
the occurrences "Drawing a Queen of Hearts or Jack of Spades from a standard deck of cards" and "Drawing a face card or a 9 from the a standard deck of cards" do not overlap.
A Queen of Hearts is both a red card and a queen, and a diamond is a type of red card and a club is a type of card, so the occurrences "Drawing a Diamond or a Club from a Standard Deck of Cards" and "Drawing a Red Card or a Queen from a Standard Deck of Cards" overlap.
The right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."
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At the dairy farm, two cows produce enough milk to fill 7 equal sized buckets. Each cow produces the same amount of milk. What is the rate per bucket per cow?
Answer:
3.5 buckets per cow
Step-by-step explanation:
Given
\(Buckets = 7\ equal\ sized\)
Required
Determine the rate per bucket per each cow
From the question, we understand that both cows produced same quantity of milk;
And since, they're are two cows
Milk produced by each cow is calculated by dividing number of buckets by 2; as follows;
\(Each\ cow = \frac{7}{2}\ buckets\)
\(Each\ cow = 3.5\ buckets\)
Hence, the rate is 3.5 buckets per cow
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answer:
135
Step-by-step explanation:
135+45=180
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10
Answer:
(6 x -10) - 2(-10+1) = 3(-10-2) + 6
-60 + 18 = -36 + 6
-42 is not equal to -30
Sorry it can't be answered. If it is -6 instead of + 6, it would be equal
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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find the standard form of the equation
(-7,-13) and (7,-11)
Answer:
x-7y=84
x-7y-84=0
Step-by-step explanation:
y=mx+c
y=ax+b
ax+by=c or ax+by-c=0
m= 1/7
y=1/7x-12
x-7y=84
x-7y-84=0
$98 is deposited into a checking account
Answer:
what's the rest of the problem?
what is the coefficient of 4-3x-2
Answer:
Step-by-step explanation:
The given expression is 4-3x-2.
To find the coefficient, we need to identify the numerical factor that is multiplied by the variable x. In this case, the numerical factor that is multiplied by x is -3.
Therefore, the coefficient of 4-3x-2 is -3.
43 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows: # of Siblings 0 1 2 3 4 5 Frequency 7 8 7 7 7 7 Round all your answers to 4 decimal places where possible. The mean is: The median is: The sample standard deviation is: The first quartile is: The third quartile is: What percent of the respondents have at least 2 siblings? % 52% of all respondents have fewer than how many siblings?
Considering the discrete distribution given, we have that:
The mean is 1.65.The median is 2.The standard deviation is 1.32.The first quartile is of 1.The third quartile is of 4.65.12% of respondents have at least 2 siblings.52% of all respondents have fewer than 2 siblings.What is the probability distribution?From the relative frequency distribution, we have that there are 43 students, and the number of siblings is distributed as follows:
P(X = 0) = 7/43 = 0.1628.P(X = 1) = 8/43 = 0.1860.P(X = 2) = 7/43 = 0.1628.P(X = 3) = 7/43 = 0.1628.P(X = 4) = 7/43 = 0.1628.What are the mean and the standard deviation of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by it's respective probabilities.For this problem, the mean is:
M = 0.1628(0) + 0.1860(1) + 0.1628(2) + 0.1628(3) + 0.1628(4) = 1.65.
The standard deviation is:
s = sqrt[0.1628(0-1.65)² + 0.1860(1-1.65)² + 0.1628(2-1.65)² + 0.1628(3-1.65)² + 0.1628(4-1.65)²] = 1.32.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.This sample has 43 observations, hence the median is the 22th observation, which is of 2.
The first quartile is the median of the first 21 observations, which is the 11th observation, of 1.The third quartile is the median of the last 21 observations, which is the 32th observation, of 4.What percent of the respondents have at least 2 siblings?Of the 43 respondents, 7 x 4 = 28 have at least 2 siblings, hence the percentage is given by:
P = 28/43 = 0.6512.
65.12% of respondents have at least 2 siblings.
What is the 52th percentile?22/43 = 0.52(approximately).
Hence 2 is the 52th percentile, meaning that 52% of all respondents have fewer than 2 siblings.
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5x + 2 = 1 + 3x +1 + 2x
a) 7
b) 8
c) infinite solutions
d) no solution
i gotta have a few wrong so could someone pls make it look like you tried to solve the problem but got it wrong? sorry if i dont make sense