Answer:
2/3
Step-by-step explanation:
10/15=2/3
The 10 is 2/3 part of 15 by dividing common factor that is 5.
What is simplest form ?
In mathematics, the simplest form is the fraction that has the smallest equivalent value.
Here, the given fraction is :
10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :
10/15 = 2/3
Therefore, the 10 is 2/3 part of 15.
Learn more about fractions on:
brainly.com/question/78672
#SPJ2
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Area of triangle = 1/2 × b × h
b = base and h = height
Area = 1/2 × (x+4) × (2)
Area = x + 4Area of rectangle = lb
l = Length and b = Breadth
Area = 10 (x + 2)
Area = 10x + 20
Given:The area of rectangle is 8 times greater than the area of the triangle.
Solution:According to the question,
10x + 20 = 8(x+4)
or, 10x + 20 = 8x + 32
or, 10x - 8x = 32 - 20
or, 2x = 12
or, x = 12/2 = 6
Answer:The value of x is 6.
Hence, Option D. 6 is correct.
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 *(x +2)
= 10*x + 10*2
= 10x + 20 unit²
Area of triangle = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4[/tex]
Area of rectangle = 8*area of triangle
10x + 20 = 8* (x+ 4)
10x + 20 = 8x + 32 {Subrtact 20 from both sides}
10x = 8x + 32 - 20
10x = 8x + 12 {subtract 8x form both sides}
10x - 8x = 12
2x = 12 {divide both sides by 2}
2x/2 = 12/2
x = 6
give
given the slope of the line and one point that it passes through represent the equation of the line in point slope form then rewrite the equation in slope intercept form.
part A: (-4,7);m=-3/4
Slope intercept form needs two things. The slope and y-intercept.
y = mx + b
m = the slope
b = y-intercept.
In this problem, we are given the slope and a point the line passes through.
m = -3/4
So far we have y = -3/4x + b
To find b, we need to plug the point into the line.
-4 is the x-coordinate, so we plug -4 into x
7 is the y-coordinate, so we plug 7 into y
7 = -3/4(-4) + b
Simplify.
7 = 3 + b
Subtract 3 from both sides.
4 = b
Our equation is: y = -3/4x + 4
The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
(-4,7);m=-3/4
The equation of a linear line in point-slope point is given as,
y = mx + c
Put (-4,7);m=-3/4
7 = -3/4 (-4) + c
c = 7 - 3 = 4
Thus equation will be as, y = (-3/4) x + 4
Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
Evaluate 5^-4. Write your answer as a fraction in simplest form
Answer:
exact form = 1/625
decimal form = 0.0016
The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
[tex]a^{-x} =\frac{1}{a^{x} }[/tex]
Therefore,
[tex]5^{-4} =\frac{1}{5^{4} }[/tex]
In simplest form
[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]
Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
Learn more on simplifying expressions here: https://brainly.com/question/12985890
urgent answer fast"""""""
Answer:
the fifth number is 11
Step-by-step explanation:
8,11,13 and 17, x
the mean is =12 ( which means the sum of the terms divided by the numbers of terms )
to find the mean :
(8+11+13+17+x)/5 =12
5*12=49+x
60-49=x
x=11
Find the distance between the points (-3,-6) and (-3,-2)
Answer:
The answer is
4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-6) and (-3,-2)
The distance is
[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
4 unitsHope this helps you
You have 2.5 pounds of egg whites
You need 37 ounces to make one serving of consommé
How many servings can you make?
X- 3 = 9 workings pls
Which inequality is true for all real numbers? check all that apply. 1.a – b < a + b 2.ac ≥ bc 3.If a ≥ b, then a + c ≥ b + c 4.If c > d, then a– c < a – d 5.If a < b, then a < b + c
Answer:c and d
Step-by-step explanation:
Statements in the options 3 and 4 are true inequalities.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here,
1) a - b < a + b
Here, the statement is not true.
2) ac ≥ bc
Here, the statement is not true.
3) If a ≥ b, then a + c ≥ b + c
Here, the statement is true.
4. If c > d, then a-c < a-d
Here, the statement is true.
5) If a < b, then a < b + c
Here, the statement is not true.
Therefore, options 3 and 4 are correct answers.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ2
Solve 3(x - 1) + 2 = 5x + 6, Answer is a decimal round to the hundredth (2 digits) or use / for fraction bar.
Answer:
x=-3.5
Step-by-step explanation:
3(x-1)+2=5x+6
3x-3+2=5x+6
3x-1=5x+6
3x-5x=6+1
-2x=7
[tex] - \frac{7}{2} [/tex]
x=-3.5
What is the value of f^-1(0)?
Please help! It’ll be greatly appreciated!
Answer:
[tex]f^{-1}(0)=6[/tex]
Step-by-step explanation:
So, we have the graph y=f(x).
And we want to find:
[tex]f^{-1}(0)[/tex]
Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:
[tex]f^{-1}(0)=y[/tex]
This means that we have the point:
[tex](0,y)[/tex]
So, to find our solution, we will swap the x- and y-coordinates. This gives us:
[tex](x,0)[/tex]
So, simply need to find the x-coordinate such that y is 0.
From our graph, we can see the point (6,0). In other words:
[tex]f(6)=0[/tex]
So:
[tex]f^{-1}(0)=6[/tex]
And we're done!
Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.
Answer:
2+2x=y
Step-by-step explanation:
We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y
find the measure of angle E
Answer:
E = 76°
Step-by-step explanation:
Exterior angle B = 116°
So ABC = 180° - 116°
= 64°
In triangle ABC , AC = BC ( given )
So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )
According to Angle Sum Property of a Triangle ,
BAC + ABC + ACB = 180°
=> ACB + 64° + 64° = 180°
=> ACB = 180° - 128°
= 52°
Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )
In triangle ECD ,
EC = ED ( given )
So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )
According to Angle Sum Property of a Triangle ,
ECD + EDC + CED = 180°
=> 52° + 52° + CED = 180°
=> CED = 180° - 104°
= 76°
please help, I've tried learning this multiple times but just can't get it down
how many dollars will you get if you change
Answer:
Depends on what is the problem!
Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) [tex]\int\limits^a_b f({x}) \, dx[/tex]= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].
The mean is:
[tex]E(X) = \frac{a + b}{2}[/tex]
Hence:
[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]
The variance is:
[tex]V(X) = \frac{(b - a)^2}{12}[/tex]
Hence
[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]
The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]
A similar problem is given at https://brainly.com/question/14767944
7. Find all values of x, where
IxI=1/3
Answer:
[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Is the open sentence8−4x=4x true or false when x = 0? A.True B.False
Answer:
b.False it equals x=1
How is this number read out loud 0.034
Answer:
0.034
Step-by-step explanation:
thirty-four thousandths
or
zero point zero three four
nobody can answer this by their own part 4
Answer:
28 days
Step-by-step explanation:
Day 1 = 3 m, day 1 end = 3 - 1 = 2 m
Day 2 end = 2 + 3 -2 = 3m
Day3 end = 3 + 3- 2 = 3 +1 = 4m
On 27th day end = 26+ 3 - 2 = 27 m
On 28th day =27 + 3 = 30 m
Type an equation for the
following pattern.
Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.
Answer: The infinite geometric series converges to 38.4
====================================================
Explanation:
Divide each term by its previous term
term2/term1 = 9.6/19.2 = 0.5
term3/term2 = 4.8/9.6 = 0.5
The common ratio is r = 0.5
Since -1 < r < 1 is true, this means the infinite geometric series converges.
It converges to...
S = a/(1-r)
S = 19.2/(1-0.5)
S = 38.4
Answer:
Top is right
Step-by-step explanation:
convert to gallons 40 quarts
Answer:
10 gallons
Step-by-step explanation:
4 quarts is one gallon
so
40/4 is 10
If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?
4.0 divided by 0.02=
Answer:
Step-by-step explanation:
Tutoring Services: Suppose that 40% of community college students never use tutoring services available at their college. Suppose we randomly select samples of community college students. For each sample we calculate the proportion who do not use tutoring. If we randomly sample 500 students at a time, what will be the mean and standard error of the sampling distribution of sample proportions
Answer: The mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.
Step-by-step explanation:
Formula : Mean of the sampling distribution of sample proportions
[tex]\mu_p= p[/tex]
Standard error of the sampling distribution of sample proportions
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]
, where p = population proportion
n= sample size
Here, p =0040
n= 500
So , Mean of the sampling distribution of sample proportions
[tex]\mu_p= 0.40[/tex]
Standard error of the sampling distribution of sample proportions
[tex]\sigma_p=\sqrt{\dfrac{0.40(1-0.40)}{500}}\\\\=\sqrt{\sdfrac{0.40\times0.60}{500}}\\\\=\sqrt{\dfrac{0.24}{500}}\\\\=\sqrt{0.00048}\\\\\approx0.0219[/tex]
Hence, mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.
When babies are born, their lengths are recorded. Maddy is 18 1/2 inches. Her twin, Alex, is 20 3/4 inches. How much longer than Maddy is Alex?m
Answer:
2 1/4 inches longer
THE CORRECT ANSWER IS 2 1/4. hope this help
A florist has 49 red roses and 63 white roses. The florist wants to put an equal number of red roses in each centerpiece, along with an equal number of white roses in each, using all the flowers. What is the greatest number of centerpieces the florist can make, and how many of each flower will they have?
Number of red roses a florist has = 49
Number of white roses a florist has = 63
To find the number of centerpieces with equal number of white and red roses we will find the greatest common factor of both the numbers,
49 = [tex]7\times 7[/tex]
63 = [tex]7\times 9[/tex]
GCF of 49 and 63 = 7
Therefore, number of centerpieces = 7
Now divide the total number of red roses by GCF to find the number of red flowers in each centerpiece.
Number of red roses in each centerpiece = 7
Similarly, number of white roses in each centerpiece = 9
Learn more,
https://brainly.com/question/9827618
6. How many 1/2 hour periods will make up 4 hours?
Answer:
8 1/2 hour periods will make up 4 hours.
Step-by-step explanation:
half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.
hope this helps! best of luck <3
X=4 y=0 z=4 x-9y/-z algebraic expression
Hope this helps!
djddc8y8fys9yv9uvsgosoyggysoyd
What are the disadvantages of driverless cars? Check all that apply.
Answer:
2 3 and 4
Step-by-step explanation:
Answer:
They cannot tell the difference between people and other objects. They will wait for crossing pedestrians even if signaled to keep driving.Step-by-step explanation: