Step-by-step explanation: He will get the answer correct because if you add the 6 & 1 together it equals Seven. Seven was the original number that was supposed to be subtracted from 16.
Sorry if I didnt help
A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?
Answer:
Step-by-step explanation:
The volume of the tank= (50x30X20) cm^3
= 30000cm^3
= 30 l
1 l costs 300 tk
therefore 30 l costs= 30X300 taka
= 90000 taka
will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
when you divide -8/2=-4 and 2/2=1
-4<1
when you divide by a negative number your sign changes
4>-1
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.
Answer:
see below
Step-by-step explanation:
When multiplying or dividing an inequality by a positive, the inequality remains the same direction
3x < 6
Divide by 3
3x/3 < 6/3
x <2
When multiplying or dividing an inequality by a negative, the inequality changes direction
-3x < 6
-3x/ -3 > 6/-3
x > -2
Solve m1 and m2 In the diagram
Please help me solve Im so confused
Answer:
m<1=117
m<2=99
Step-by-step explanation:
Answer:
Angle 1 is 117 degrees.
Angle 2 is 59 degrees.
Step-by-step explanation:
Let angle 1 be x, and angle 2 be y.
By the exterior angle theorem, x + 21 = 138, so x = 138 - 21 = 117.
Again, by the exterior angle theorem, 79 + y = x = 138, so y = 138 - 79 = 59.
Simplify. 6x + 4y – 4x + 5y + 5 x + y +
Answer:
7x+5y
Step-by-step explanation:
put the like terms of x together and like terms of y and then add
Answer:
7x+10y
Step-by-step explanation:
you just simplify it
oh my gosh i need some helpp
Answer: the answers are 10(x+15)+20(x+30) and 10x+150+20x+600 and 30x+750
Step-by-step explanation:
30% of 3000
I know how to do it but I just need to be sure
Answer:900
Step-by-step explanation: 1. set up an equation
x= (p * n)/100 when x= the answer p= the percentage and n= the total number
2. plug in the numbers
x= (30 * 3000)/100
3.solve
x= (30*3000)/100
x= (90000)/100
x= 900
Please solve in a way that i know how you did it
Answer:
Step-by-step explanation:
The three angles in a triangle add up to 180 :
If angle 1 is 90 because it is a right angle triangle then :
Angle 2 + Angle 3 = 180 -90
Angle 2 + Angle 3 = 90
The ratio of Angle 2:Angle 3 is 1:2
There are 3 shares in total (1+2=3)
1 share = 90 ÷ 3 = 30
So Angle 2 is 30 and angle 3 is 60
Hope this helped and have a good day
a bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet. a sandbox has a volume of 16 cubic feet. approximately how many pounds of sand will it take to fill the sandbox
Answer:32
Step-by-step explanation:I divided 16 by 0.5
PQR is a right-angled triangle.
Work out the size of angle PQR.
Give your answer correct to 1 decimal place.
Total marks: 3
Answer:
67.4
Step-by-step explanation:
In picture listed above.
Brainliest Appreciated.
The measure of the angle PQR will be 67.4 degree.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Sides of a triangle are 13 cm , 5 cm, and 12 cm.
And, The angle PRQ = 90 degree.
Now,
Find the measure of angle PQR as;
The triangle PQR is a right triangle and PQ = 13 cm and PR = 12 cm.
Let measure of an angle PQR = θ
So, We can formulate;
sinθ = PR/PQ
sinθ = 12/13
θ = 67.4 degree.
Thus, The measure of the angle PQR will be 67.4 degree.
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when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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Answer this for me please
The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Calculating the function valuesGiven that
f(x) = 2x^2 - 2
g(x) = 4x/(x - 1)
So, we have
f(10) = 2(10)^2 - 2 = 198
g(-6) = 4(-6)/(-6 - 1) = 24/7
The range of h(x)Here, we have
h(x) = (7x - 4)/5x
Where
1 < x < 5
So, we have
h(1) = (7(1) - 4)/5(1) = 3/5
h(5) = (7(5) - 4)/5(5) = 31/25
So the range is 3/5 < h(x) < 31/25
The inverse of p(x)Here, we have
P(x) = (5x - 1)/(3 - x)
So, we have
x = (5y - 1)/(3 - y)
This gives
3x - xy = 5y - 1
So, we have
y(5 + x) = -1 - 3x
This gives
y = -(1 + 3x)/(5 + x)
So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
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sole it please! 6th grade!
Answer:
this is answer .i solved it .i think it is correct
Linda received her salary on Friday. She spent one-half of her salary on rent and then spent $268.00 on her electric and water bill. Next she spent one-half of what was left on her phone bill. After spending $52.00 on gas for her car, Linda had $82.00 left. How much did Linda spend on rent?
A. $260.00
B. 536.00
C. 618.00
D. 1,072.00
Answer:
B. $536.00
Step-by-step explanation:
For this problem we need to evaluate top down to build our equation, and then solve bottom up to find how much she spent on rent.
Let Z represent Linda's salary
Let Y represent Linda's Water & Electric (given $268)
Let X represent Linda's Phone Bill
Let W represent Linda's gas bill (given $52)
We are given that after all Linda's expenses, she has $82 left.
So let's find Z/2.
Z/2 = Y + k
Where k is the remainder after Linda pays Y. Hence, k will be equivalent to X + W + 82.
So we can write:
Z/2 = Y + X + W + 82
Using our knowns, we can write in:
Z/2 = 268 + X + 52 + 82
We know that X is (Z/2 - Y)/2 from the sentence, "Next, she spent one-half of what she had left on her phone bill." So we can say X = k/2.
X = (X + W +82)/2
X = X/2 + 52/2 + 82/2
X = X/2 + 26 + 41
X - X/2 = X/2 - X/2 + 67
X/2 = 67
X = 134
So, now we can finish our equation to find Z/2.
Z/2 = 268 + X + 52 + 82
Z/2 = 268 + 134 + 52 + 82
Z/2 = 536
Hence, we have found that Linda spent half of her salary on rent, which was $536.00.
Cheers.
Answer:
$536 ✅Step-by-step explanation:
To solve this, we need to determine how much Linda's salary was. Then, we can divide the number by 2 to get the answer, as she spent 1/2 of her salary on rent.
The first step is to add up the remaining 1/2 and write an equation.
$268 + 1/2(s - 268) + $52 + $82 = s
Now, we combine like terms.
$402 + 1/2(s - 268) = s
$402 + 1/2s - 1/2(268) = s
$402 + 1/2s - $134 = s
$268 + 1/2s = s
1/2s = s - $268
1/2s = $268
s = $536
Now, we can check our answer by the equation
$402 + 1/2(536) - 1/2(268) = 536
$402 + 268 - 134 = 536
536 = 536 ✅
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
What number is 23 percent of 556?
Answer:
127.88
Step-by-step explanation:
=>23/100*556
=>127.88
Answer:
127.88
Step-by-step explanation:
23 x 556 = 127.88
100
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
Identify the property that justifies the statement: *
If 3x - 14 = 12, then 3x = 26
Answer:
Subtraction property of equality
Step-by-step explanation:
In mathematics that are various types of properties that can be used to solve for questions
In the above question:
If 3x - 14 = 12
then 3x = 26
The property that is applied here is the Subtraction property of equality.
The subtraction property of equality states that when we subtract from one side of and algebraic expression, we must subtract from the other side
a = b
a - c = b - c
a = 3x
b = 26
c = 14
3x = 26
3x - 14 = 26 - 14
then 3x - 14 = 12
Is there a proportional relationship between the area and radius of a circle?
Answer:
is this free choice?
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Since A=pi x r2 There is a proportional relationship .
What is the reference angle for the angle with the measure 2x/3
The reference angle for the angle with the measure 2x/3 is 54⁰
How to determine the reference angle?You should understand that a reference angle is the acute angle to a given angle.
The given angle is 2x/3
We should understand that since the angle has the variable x
= x + 2x/3 = 90⁰
Simplifying the fraction to have
(3x+2x)/3 = 90
Cross and multiply we have 5x=270⁰
Making x the subject
x= 270/5
x=54⁰
Therefore, the reference angle with the measure 2x/3 is = 54⁰
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A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 175 randomly selected Southerners were surveyed and found to watch a mean of 3.8 hours of sports per week. In the North, 152 randomly selected people were surveyed and found to watch a mean of 4.8 hours of sports per week. Find a 95% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions if the South has a population standard deviation of 1.7 hours per week and the North has a population standard deviation of 1.2 hours per week. Let Population 1 be people who live in the South and Population 2 be people who live in the North. Round the endpoints of the interval to one decimal place, if necessary.
Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).
What are the mean and the standard error for each sample?Considering the data given:
\(\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285\)
\(\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973\)
What is the mean and the standard error for the distribution of differences?The mean is the subtraction of the means, hence:
\(\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1\)
The standard error is the square root of the sum of the variances of each sample, hence:
\(s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612\)
What is the confidence interval?It is given by:
\(\overline{x} \pm zs\)
We have a 95% confidence interval, hence the critical value is of z = 1.96.
Then, the bounds of the interval are given as follows:
\(\overline{x} - zs = -1 - 1.96(0.1612) = -1.3\)\(\overline{x} + zs = -1 + 1.96(0.1612) = -0.7\)More can be learned about the z-distribution at https://brainly.com/question/25890103
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What is the probability that the total team time in the
400-meter freestyle relay is less than 215 seconds?
O 0.056
O 0.1665
O 0.8335
0.944
The probability that the total team time in the 400-meter freestyle relay is less than 215 seconds is: 0.8345
How to find the probability from z-score?From the table given the mean and standard deviation, we can say that:
Total time spent = 54.2 + 57 + 55.3 + 53.7
Total time spent = 220.2 secs
The total standard deviation is:
2.8 + 3 + 2.4 + 2.5 = 10.7 secs
Formula for z-score here is:
z = (x' - μ)/(σ/√n)
where:
x' is sample mean
μ is population mean
σ is standard deviation
n is sample size
Thus:
z = (220.2 - 215)/(10.7/√4)
z = 0.972
From online p-value from z-score calculator, we have:
p(x < 0.972) = 0.8345
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Answer: b
Step-by-step explanation: cause i just did it
What angle measure is represented by the shaded part of
the circle? Explain how you found your answer.
Answer:
135degree
Step-by-step explanation:
First we see on the diagram all sectors are equal
so the sectors can be determined by X
there are 8 sectors all the interior angle of circle is 360 degree
so 8x =360
x=45degree
but their are 3shaded regions so
3x= 135degree
A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest
Answer:
The side lengths are:
15, 30, and 30
Step-by-step explanation:
Let x determine the length of the smallest side length then
the other one is said to be 15 in larger so it's x + 15
finally the third size is said to be twice as the smallest one so it's 2x
The perimeter is the sum of all three sides added up
x + 2x + x + 15 = 75 add like terms
4x + 15 = 75 subtract 15 from both sides
4x = 60 divide both sides by 4
x = 15
please solve this now
I will mark you brainiest
You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?
a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)
b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)
How to represent a bounces of a ball by geometric sequence formula
In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:
H(n) = a · (r / 100)ˣ⁻¹
Where:
a - Initial height, in meters.r - Height ratio, in percentage. x - Number of bounces.If we know that a = 1.5 m and r = 71, then the rule for the sequence is:
H(n) = 1.5 · (71 / 100)ˣ⁻¹
And the height at the top of the sixth path:
H(6) = 1.5 · (71 / 100)⁶⁻¹
H(6) = 0.27 m
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cual de las siguientes rectas son perpendiculares a la recta de la ecuación 4x+6y-6=0
Answer:
Ok, i will answer in English.
The first step is to know that when we have a linear equation like:
y = a*x + b
any line with a slope equal to -1/a will be perpendicular to our line.
So first let's write our equation in the standard form:
4x + 6y - 6 = 0
6y = -4x + 6
y = (-2/3)*x + 1
then the slope is (-2/3)
then the slope of the perpendicular line will be:
-(1/(-2/3)) = 3/2
So the only thing any line with the equation:
y = (3/2)*x + c
where c can be any real number, is perpendicular to 4x+6y-6=0
Construct a box-and-whisker
16, 12, 13, 14, 16, 18, 15, 17, 20, 12, 14, 15, 15
graph using the following data.
Given statement solution is :- Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:
Sort the data in ascending order:
12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20
Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:
Median = 15
Find the lower quartile (Q1), which is the median of the lower half of the data set.
Counting from the start, the lower half of the data set is:
12, 12, 13, 14, 14
Q1 = 13
Find the upper quartile (Q3), which is the median of the upper half of the data set.
Counting from the end, the upper half of the data set is:
17, 18, 20
Q3 = 18
Find the minimum and maximum values in the data set:
Minimum = 12
Maximum = 20
Now that we have the necessary values, we can construct the box-and-whisker plot:
lua
Copy code
| |
12 | -------------|
13 | |
14 | ----
15 | -------
16 | -------------|
17 | |
18 | ----
20 | |
|_________________|
In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
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square root of x - 5 = -2
Answer:
x-5=2
x=2+5
x=7
x=square root of 7
x=2.65
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.