Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
For this, we cross multiply and divide
so it becomes:
2 x 15 = 10x
30 = 10x
Then divide both sides by 10 to isolate x
x = 3
What is the area of the smaller rectangle?
20 mm2
64 mm2
32 mm2
40 mm2
Answer:
64 mm²
Step-by-step explanation:
16 × 4 = 64
good luck, i hope this helps :)
Answer:
so if you do 16×4 you will get 64mm2
What is the smallest integer solution to the inequality 6x+2>2x+23?
The smallest integer solution to the inequality 6x+2>2x+23 is 6.
What is an inequality?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
Given, the inequality is 6x+2>2x+23
⇒ 6x-2x > 23-2
⇒ 4x > 21
⇒ x >21/4
⇒ x > 5.25
Hence, the smallest integer satisfying the inequality would be 6.
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Bill averages 10 points a game and has 110 points for the season. Aaron averages 12 points a game and has 96 points for the season. Solve an equation to find how many games it will take until they tie in points scored if they continue at the same rate.
Answer:
ok yes
Step-by-step explanation:
The number of games it will take until they tie in points scored if they continue at the same rate is;
7 games.
We are told that Bill averages 10 points a game and has 110 points for the season.
Thus, number of games a season it will take bill to reach 110 points is; 110/10 = 11 games
Aaron averages 12 points per game and has 96 points for the season. Thus, number of games a season it will take bill to reach 96 points is;
96/12 = 8 games.
Now, let the additional number of games to be played for them to have the same points be x. Thus;
110 + 10x = 96 + 12x
12x - 10x = 110 - 96
2x = 14
x = 14/2
x = 7
In conclusion, the additional number of games it will take for Bill and Aaron to have the same number of points is 7 games.
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Write the equation of the line that passes through the points (5,-10) and (12,-17) in slope intercept form
Answer:
m = -1Step-by-step explanation:
\(\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}\)
(5, -10) ⇒ x₁ = 5, y₁ = -10
(12, -17) ⇒ x₂ = 12, y₂ = -17
So the slope:
\(\bold{m=\dfrac{-17-(-10)}{12-5}=\dfrac{-7}7=-1}\)
Find 48.9% of 264.Round to the nearest hundredth
Step-by-step explanation:
Simply divide the percent by 100 and multiply by the number. For example, 48.9 /100 x 264 = 129.096 or 0.489 x 264 = 129.096
Rounded to nearest hundredth
= 129.10
Answer:129.10
Step-by-step explanation:
Simply, the equation for the percentage value of a number is:
x*(z%/100%)=y
where x is your initial value, z is your percentage value, and y is the resultant value
for this question, the equations gives us as follows
264*(48.9%/100%)=129.096=129.10
What is the average rate of change from x = 3 to x = 11?
Answer:
.1333
Step-by-step explanation:
hope this helps
2 triangular prisms and a cube. The cube is 2 by 2. The triangular prisms have rectangular sides of 3 by 5, 3 by 3, and 3 by 4. The triangular sides have a base of 3 and height of 4.
To find the surface area of the figure shown, Mia found the surface area of the two triangular prisms and the rectangular prism. From this, Mia subtracted 6 ft2. Did Mia make an error?
Mia should have subtracted 16 square feet.
Mia needs to subtract another 6 square feet.
Mia must calculate each triangle separately.
There is no error—Mia is correct.
Answer:B. Mia needs to subtract another 6 square feet.
Step-by-step explanation:
Answer:
yeah the dude above me is right
Step-by-step explanation:
b r u h moment compilation #27
Solve for x.
(13x-32)
S
T
V
(7x + 22)°
U
Answer:
x=9
Step-by-step explanation:
13x-32 and 7x+22 are equal to each other (angles) so
13x-32=7x+22
13x-7x=22+32
6x=54
x=54/6
x=9
The researchers are in short of budget so they would like to minimize the respondents needed for their research. They decided to use σ = 0.4 with CL = 92.5% but they are undecided on 1% and 2% margin of error. Help the researchers on choosing between the two margin of errors if their best of interest is the least possible number of respondents. [6 points]
(a) Find Z.
(b) Determine the 2 sample sizes.
(c) Write your conclusion.
(a) The Z-Score is 1.78,
(b) The two sample-sizes are 5070 and 1268,
(c) The researchers should choose the 2% margin-of-error.
Part (a) : To find Z, we use the confidence-level (CL) to find the corresponding Z-score.
The confidence-level (CL) is given as 92.5%, which corresponds to an area of 0.925 under the standard normal-distribution curve. Since the remaining area on both tails is (1 - 0.925) = 0.075, we divide this value by 2 to get the area for one tail: 0.075/2 = 0.0375,
The "Z-score" that corresponds to area of 0.0375 in one tail. The Z-score is approximately 1.78,
Part (b) : To determine the two sample sizes for the 1% and 2% margin of error, we use the formula,
Sample size (n) = (Z² × σ²)/(E²),
For a 1% margin-of-error (E = 0.01),
We have,
n₁ = (1.78² × 0.4²)/(0.01²),
n₁ ≈ 5070
For a 2% margin of error (E = 0.02),
We have,
n₂ = (1.78² × 0.4²)/(0.02²),
n₂ ≈ 1268
Part (c) : The researchers should choose the margin-of-error that results in the least possible number of respondents since they have a limited budget.
Comparing the two sample-sizes, we find that sample-size for 2% margin of error (n₂ ≈ 1268) is smaller than the sample-size for the 1% margin of error (n₁ ≈ 5070).
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Which expression is equivalent to (3x^2-7)
Answer:
x^2-2x+1
Hope this Helps! <3
solve the following system of equations using the substitution method. –6x 2y = 8 y = 3x 4 question 9 options: a) no solution b) (0, 4) c) infinitely many solutions d) (8, 8)
The correct answer is option c) infinitely many solutions..
To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.
Given:
-6x + 2y = 8 ---(1)
y = 3x + 4 ---(2)
Substitute equation (2) into equation (1):
-6x + 2(3x + 4) = 8
Simplify:
-6x + 6x + 8 = 8
8 = 8
We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.
Therefore, the correct answer is option c) infinitely many solutions..
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Simplify (4x − 6) + (3x + 6) out of these what one is right?
a.7x
b.− 12
c.x
d.7x + 12
a-7x
in this case we can forget about the brackets, we can add 4x with 3x to get 7x, and add 6 to -6 which gives us 0, therefore we lose it and are left with only 7x
Answer:
a. 7x
Step-by-step explanation:
(4x - 6) + (3x + 6)
= 4x - 6 + 3x + 6
Combine like terms
= 4x + 3x - 6 + 6
= 7x
Ans: a. 7x
Joan has a credit limit of $900. Her new balance is $450. What is Joan's available credit?
Hi!
Let's write this out.
Her limit is $900, and she's used $450. So, we subtract 450 from 900.
900-450 = 450.
So, she has $450 available credit left.
Hope this helps!
~~~PicklePoppers~~~
Answer: your credit utilization ratio on that card would be 50% but the answer is 450
Step-by-step explanation:
900-450 = 450
A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches greater than the width. Write a polynomial expression in standard form for the volume of the box. Explain the meaning of any variables used.
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
How to find the volume of a rectangular prism?volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
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Please please answer will give brainliest
Answer:
D. (Jesse with a score of 75)
Step-by-step explanation:
Abby has 15/20 on her quiz, and we can convert that to 0.75. We can turn 0.75 into 75 points in her quiz.
Jesse has 18/30 on her quiz, and we can convert that to 0.60. We can turn 0.60 into 60 points in her quiz.
0.75 > 0.60, so Jesse has more.
Answer:
Jesse has the better score
Test the claim that the mean gpa of night students is larger than 2.1 at the 0.10 significance level. the null and alternative hypothesis would be:______.
For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:
H₀: p = 2.1H₁: p > 2.1What is a null hypothesis?A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:
H₀: p = 2.1H₁: p > 2.1In conclusion, we can infer and logically deduce that this test would be right-tailed.
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Please help
Which expressions are equal to
Answer:
2 is the answer
Step-by-step explanation:
Number theory algebra 2
The proof shown below shows that "the square of a number that is two more than a multiple of 3 is one more than a multiple of 3."
How to complete the proof?In this exercise, you are required to proof that "the square of a number that is two more than a multiple of 3 is one more than a multiple of 3." Therefore, we would translate the word problem into an equation and then factorize it completely as follows;
(3n + 2)² = (3n + 2)(3n + 2)
Opening the bracket through expansion, we have the following:
(3n + 2)² = 9n² + 6n + 4
(3n + 2)² = 9n² + 6n + 3 + 1
Factorizing the equation as a multiple of 3, we have the following:
(3n + 2)² = 3(3n² + 2n + 1) + 1
(3n + 2)² = 1 more than a multiple of 3.
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What is the inverse of (- 2 3?
The inverse of (- 2 . 3 ) is (1 / - 2.3 ).
In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.
As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:
(-2.3) x ( 1 / -2.3 ) = 1
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Write the equation of a line in slope-intercept form that passes through (2,6) and (-1,-4)
Answer:
y = 10x/3 - 2/3
Step-by-step explanation:
First, find the slope using the slope formula:
m=(y2-y1)/(x2-x1) ==> Slope is the change in y over the change in x: (Δy/Δx)
(x1, y1), (x2, y2) ==> (x1=2, y1=6), (x2=-1, y2=-4) <== (2, 6), (-1, -4)
m=(-4-6)/(-1-2) ==> plugin (x1=2, y1=6), (x2=-1, y2=-4)
m=(-10)/(-3) ==> simplify
m=10/3
Now plugin the slope into the slope-intercept form equation y=mx+b:
y = 10x/3 + b
6 = 10(2)/3 + b ==> plugin the point (2, 6) into the x and y values, (x=2, y=6).
6 = 20/3 + b ==> simplify
(6 = 20/3 + b)*3 ==> multiply the equation by 3 to remove fractions
18 = 20 + 3b ==> simplify
Now solve for b:
-2 = 3b ==> subtract 20 on both sides to isolate b
3b = -2
b = -2/3 ==> divide 3 on both sides
y = 10x/3 + (-2/3) ==> plugin b = -2/3 into the slope-intercept form equation
Answer:
y = 10x/3 - 2/3 =>adding a negative number is equivalent to subtracting the
positive number
Find the missing dimension. Help and hurry please!
Answer:
2.5
Step-by-step explanation:
37.5 divided by 15 which is 2.5 because you'd do the inverse. you know the method for area is base times height and in this case you know base and total area so you'd divide.
3-10 A gable roof with a slope of 9 inches per foot has a rake slope of 1.25. If the run is 10 feet and the eaves length is 30 feet. What is the roof area in square foot?A. 300.B. 450.C. 700.D. 800.
The roof area is 468.75 square feet.
To find the roof area, we need to follow these steps:
Determine the rise (vertical distance) using the slope of 9 inches per foot:
Since the run is 10 feet, the rise is 9 inches/foot × 10 feet = 90 inches.
Convert the rise to feet: 90 inches ÷ 12 inches/foot = 7.5 feet.
Calculate the length of the rafter using the Pythagorean theorem:
Rafter length = √(run² + rise²) = √(10² + 7.5²) = √(100 + 56.25) = √156.25 = 12.5 feet.
Determine the total length of the gable roof:
Since the rake slope is 1.25, we have Total length = Rafter length × Rake slope = 12.5 feet × 1.25 = 15.625 feet.
Calculate the roof area:
Roof area = Eaves length × Total length = 30 feet × 15.625 feet = 468.75 square feet.
None of the given options matches the calculated roof area.
It is possible there is a mistake in the question or the provided options.
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The lines 4x+6y-5=0 and 2x+4y-3=0 intersect at N. Find the equation of the line through N perpendicular to the line x+2y=0.
4x+6y=5 and 2x+4y=3 are the 2 supplied lines. We must solve two simultaneous equations in order to determine the location at where these two lines cross.
When we multiply the second equation by two, we obtain the result 4x+8y=6. Next, we subtract this from the first equation to get -2y = -1, which equals y=1/2. N's coordinates are therefore (+1/2, +1/2).
The line we need to identify now goes through this point and is perpendicular to the line x+2y=0; its slope is -1/2 (the slope of the line \(ax+by+c=0\) is -a/b). With m1*m2=-1, the line perpendicular to this one has a slope of 2. Consequently, the line that we must identify The slope of the equation is 2, and it goes through N. In order to simplify the equation, (y-1/2) = 2*(x-1/2), which results in 2y-1 = 2*(2x-1) and 2y-1 = 4x-2 and 4x-2y-1=0. The necessary equation is as follows.
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t(x) = 7x, t(x) = 49
Answer:
x=7
Step-by-step explanation:
t(x) = 7x, t(x) = 49
Due to the transitive property, you can say that
7x=49
divide both sides by 7
x=7
Hope it helped!
Answer:
Step-by-step explanation:
7
49/7=7
a man weighs 154 pounds and is 70 inches tall. his bmi is
The man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.
To calculate the Body Mass Index (BMI) of a person, we use the following formula:
BMI = weight (in kilograms) / height^2 (in meters)
First, we need to convert the weight from pounds to kilograms. Since 1 pound is approximately 0.4536 kilograms, the man's weight of 154 pounds is equal to 69.85 kilograms (rounded to two decimal places).
Next, we need to convert the height from inches to meters. Since 1 inch is equal to 0.0254 meters, the man's height of 70 inches is equal to 1.778 meters (rounded to three decimal places).
Now, we can calculate the BMI using the formula:
BMI = 69.85 kg / (1.778 m)^2
Calculating this expression, we find that the man's BMI is approximately 22.09 (rounded to two decimal places).
In summary, the man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.
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evaluate the following expression for x=8
a. 82
b.178
c.854
d. 188
Answer:
178
Step-by-step explanation:
SORRY IF ITS WRONG IM BAD AT MATH :(
Brian is remodeling his standy. He bought a desk for $437.50, a chair for $92.75, a filing cabinet for $99.99, and a bookshelf for $309.75. He bought everything at the same store and paid a 7 percent sales tax. How much did he spend on his study?
Answer:
He spent $1005.7893 on his study
Step-by-step explanation:
At first, let us find the total of all items he bought
∵ The price of the desk = $437.50
∵ The price of the chair = $92.75
∵ The price of the filing cabinet = $99.99
∵ The price of the bookshelf = $309.75
→ Add all of them up
∴ The total price = 437.50 + 92.75 + 99.99 + 309.75
∴ The total price = $939.99
∵ He paid a 7 percent sales tax
∴ The tax = 7%
→ If the total price is 100% add it by 7% to find the amount that he paid
∵ The total price after added the sale tax = 100% + 7% = 107%
∴ He paid = 107% of $939.99
∴ He paid = \(\frac{107}{100}\) × 939.99
∴ He paid = 1005.7893
∴ He spent $1005.7893 on his study
what is 0.8 - 0.3 is it 0.5
Answer:
yes
Step-by-step explanation:
0.8-0.3=0.5
hope this helps :3
if it did pls mark brainliest
I need help : (((((((
the answer is x=-1/3
You are swimming each 25-yard length of a swimming pool 3 seconds
faster than your personal best. What integer represents your change in
time of your personal best after 200 yards?
24 seconds faster time of your personal best after 200 yards.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Suppose the number of laps = m
According to the question, each lap of 25 yards is covered 3 seconds faster than the previous one, so the series become
x , x-3 , x-6 , x-9, ............................
25 * m = 200
m = 200/25
m = 8
As m is the number of laps, and each lap is 3 second faster.
So 8 laps will be 8*3 = 24 seconds faster.
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