Answer:
n - 6 = 5 * ( n + 2 ) ; n = -4
Step-by-step explanation:
For this problem, we will use the words to create an equation. The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2. Hence, we can build the equation:
n - 6 = 5 * ( n + 2 )
If we wanted, we can solve the equation for the number, n.
n - 6 = 5 * ( n + 2 )
n - 6 = 5 * n + 5 * 2
n - 6 = 5n + 10
-16 = 4n
-4 = n
Thus, we have found the missing number to be negative four.
Cheers.
ERROR ANALYSIS In Exercises 39 and 40, describe and
correct the error in solving the equation.
identical
shown.
one of th
39.
X
-0.8 + r= 12.6
r= 12.6 +(-0.8)
r= 11.8
40.
X
m
= -4
3•(-5= 3•(-4)
a. W
m= -12
on
b. Th
Answer:
39. r = 13.4
40. m = 12
Step-by-step explanation:
39. Given the equation, [tex] -0.8 + r = 12.6 [/tex], to solve for r, the following are the correct steps to take to arrive at the solution:
[tex] -0.8 + r = 12.6 [/tex] (given)
Add 0.8 to both sides of the equation (addition property of equality)
[tex] -0.8 + r + 0.8 = 12.6 + 0.8 [/tex] (this is where the error occurred.)
[tex] r = 13.4 [/tex]
40. The correct steps to take in solving the equation, [tex] -\frac{m}{3} = -4 [/tex] is as follows:
[tex] -\frac{m}{3} = -4 [/tex] (given)
Multiply both sides by 3 (multiplication property of equality)
[tex] 3*-\frac{m}{3} = 3*(-4) [/tex]
[tex] -m = -12 [/tex] (this is where the error occurred. This is what we should have at this line/step)
[tex] m = 12 [/tex] (dividing both sides by -1)
Use the general slicing method to find the volume of the solid whose base is the triangle with vertices (0,0), (7,0), and (0,7) and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles.
(need exact answer in terms of pi).
Answer:
The answer is "[tex]\bold{\frac{343 \ \pi}{24} \ \text{cubic units}}[/tex]"
Step-by-step explanation:
The volume of the mass whose cross-sectional area has been perpendicular is usually sliced by the method The cross-section, which is based to parallel to y-axis;
[tex]V = \int_{a}^{b} A (x)dx[/tex]
The semi-circular segment of the strong and seems to be perpendicular to foundation and
Y-axis parallel.
Its cross-section does have a diameter of: [tex](7-x)[/tex].
It also transverse radius is: [tex]\frac{1}{2}(7-x)[/tex].
The semi-circular segment area is,
[tex]Formula: \\\\ A(x)=\frac{1}{2} \times \pi \times r^2[/tex]
[tex]=\frac{1}{2} \times \pi \times (\frac{(7-x)}{2})^2\\\\=\frac{1}{2} \times \pi \times (\frac{(7-x)^2}{4})\\\\=\frac{1}{8}\pi(7-x)^2\\[/tex]
when
[tex]0 \leq \ x \ \leq 7[/tex]
Calculating the volume from the solid accordingly:
[tex]V= \int_{0}^{7}\frac{1}{8} \times\pi \times (7-x)^2 dx[/tex]
[tex]= \frac{1}{8} \pi \int_{0}^{7}(7-x)^2 dx \\\\= \frac{1}{8} \pi [\frac{(7-3)^3}{-3}]_{0}^{7}\\\\= \frac{\pi}{24} \times [7^3-0]\\\\= \frac{\pi}{24} \times 343\\\\= \frac{343 \pi}{24} \\[/tex]
Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0
Answer:
[tex]\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
Step-by-step explanation:
Given the center of sphere is: (-2, 2, 3)
Passes through the origin i.e. (0, 0, 0)
To find:
The equation of the sphere ?
Solution:
First of all, let us have a look at the equation of a sphere:
[tex](x-a)^2+(y-b)^2+(z-c)^2=r^2[/tex]
Where ([tex]x,y,z[/tex]) are the points on sphere.
[tex](a, b, c)[/tex] is the center of the sphere and
[tex]r[/tex] is the radius of the sphere.
Radius of the sphere is nothing but the distance between any point on the sphere and the center.
We are given both the points, so we can use distance formula to find the radius of the given sphere:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Here,
[tex]x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3[/tex]
So, Radius is:
[tex]r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}[/tex]
Therefore the equation of the sphere is:
[tex](x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
-3(x+n)=x To solve for x
Answer:
x = -3n/4
Step-by-step explanation:
What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7
Answer:
358 u literally just waited your time u could have used a calculator
Step-by-step explanation:
Answer:
Quotient = 358
Remainder = 3
Is the square root of 0.49 rational
Answer:
rational
Best of luck!
The percentage of first year college males who will claim no religious affiliation in 2030 is approximately ___%
Answer:
34.5%
Step-by-step explanation:
If we assume the relationship is approximately linear with time, we can use technology to draw a line of best fit through the given data. Extrapolating to the year 2030 predicts the value to be 34.5%.
In 2030, we might expect about 34.5% of male first-year college students to claim no religious affiliation.
_____
Additional comment
When it comes to religion, many factors are in play. The assumption we have made has no justification whatever, except that it provides a method for answering the question. (It also predicts the percentage to be 0 in 1963, which we believe to be unrealistic.) An exponential fit is better (r^2 = 0.97), and it predicts about 46.0%.
what is 765,903 rounded to nearest hundred thousand
Answer:
800,000
Step-by-step explanation:
The numbers are above 5 making it round up not down
What value of q makes the equation true? -8=32-5q
Solve the equation.
5x + 8 - 3x = -10
x = -9
X = -1
x = 1
X = 9
Cand
Its the Right Answer on the Test. Hopes This Helps.
Thank You
Solve for x: 6x + --(4x + 8) > 12
1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2
Answer:
x > 10/7
Step-by-step explanation:
Take LCM and do cross Multiplication. You will get,
24x + 4x + 8 > 48
or, 28x > 40
or, x > (40/28)
This gives, x > 10/7
Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
Answer:
5
Step-by-step explanation:
You need to find how many days Stefan can feed Coco with the oats he has left. But first, you need to know how many cups of oats Stefan has left after making granola bars.
Stefan has 4
1
2
cups of oats, and he uses 3
1
4
cups to make granola bars.
Start by writing 4
1
2
with a denominator of 4. Then both fractions will have the same denominator.
4
1
2
=4
2
4
Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.
4
2
4
–3
1
4
=1
1
4
Stefan has 1
1
4
cups of oats left.
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a. {(-2,5,-3), (6, -15,9),(-10, 25, -15)} b. {(1,2,0), (1,1,1),(4,5,3)} c. {(0,0,3), (0,1,2), (1,1,0)}
Answer:
a. Line
b. Plane
c. All of R^3
Step-by-step explanation:
In order to answer this question, we need to study the linear independence between the vectors :
1 - A set of three linearly independent vectors in R^3 generates R^3.
2 - A set of two linearly independent vectors in R^3 generates a plane.
3 - A set of one vector in R^3 generates a line.
The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :
a. Let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right][/tex]
We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).
We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).
At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.
b. Again, let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right][/tex]
We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).
c. Finally :
[tex]\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right][/tex]
The set is linearly independent so the set of all linear combination of the set c. is all of R^3.
Geometry. Answer the question in the photo.
Answer:
5
Step-by-step explanation:
Since, A, B, C, D are collinear.
[tex] \implies A - B - C - D \\
\therefore \: AD = (AB + BC) + CD \\ \therefore \: 18 = AC + CD.. (\because AB + BC =AC) \\ \therefore \: 18 = 8 + CD \\ \therefore \: 18 - 8 = CD \\ \therefore \: 10 = CD \\ \\ \because \: BC + CD = BD \\ BC = BD - CD \\ BC = 15 - 10 \\ BC = 5 \\ [/tex]
x+4.9=7.28 x= what is the answer
Answer:
2.38
Step-by-step explanation:
subtract 4.9 on both sides
x = 2.38
Step-by-step explanation:x + 4.9 = 7.28
x = 7.28 - 4.9
x = 2.38
Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps
Answer:
1. x= y/m - b/m
2. m= y/x - b/x
Step-by-step explanation:
hope this helps.
Change 53/5 from an improper fraction to a mixed number.
Answer:
10.6
Step-by-step explanation:
53/5
Answer:
[tex]10\frac{3}{5}[/tex]
Step-by-step explanation:
We divide 53 by 5 which we get 10 3/5
In a shopping mall, 5/8 of the shoppers were female shoppers at first. A short
while later, 56 more female shoppers and 24 more male shoppers entered the
shopping mall. As a result, there were 100 more female shoppers than male
shoppers. How many shoppers were there in the shopping mall altogether
in the end?
Answer:
104
Step-by-step explanation:
5/8x. - - - - - - - >. 3/8x
56+x---------------> 24+x
Then solve for x
my noob has 36 apples he puts 29 in a bag how much he has now
Answer: He has 7 at the moment, technically, if he still has the bag, he still has all 36
Step-by-step explanation:
Answer:
he has noob 7
Step-by-step explanation:
I need help with 25. 26. And 27 plz I don’t know how
Answer:
25. 8ft
26. 3m
27. 7cm
Step-by-step explanation:
Because it says each is an area of a sqare the square root will give you the side length
1.1.22
Solve the equation.
17 + 28 = – 5(4x – 9)
Answer:
No Solution
Step-by-step explanation:
Step 1:
17 + 28 = - 5 ( 4x - 9 )
Step 2:
45 = - 20x + 45
Step 3:
- 20x = 0
Answer:
No Solution
Hope This Helps :)
The length of a rectangle is twice the width. The area is 72 yd^2. Find the length and the width.
Answer:
The length is 12yd and the width is 6yd.
Step-by-step explanation:
Solve the inequality 6t>t+6. Enter your answer as an inequality with just t on the left side. For example, if the inequality in the problem were true for all negative t, then you'd enter "t =3".
Answer: t > 6/5
In decimal form, this would be t > 1.2
==============================================
Work Shown:
6t > t+6
6t-t > t+6-t ...... subtracting t from both sides
5t > 6
5t/5 > 6/5 .... dividing both sides by 5
t > 6/5
t > 1.2
Order the following numbers from least to greatest
Answer:
Step-by-step explanation:
Change all numbers to their decimal form.
37.5 % = 37.5 / 100 = 0.375
1/3 = 0.3333
0.3 = 0.3
40% = 40/100 = 0.4
3/5 = 0.6
Order
0.3
0.33333
0.375
0.4
0.6
Plz help 7th grade math
Answer:
The answer is -11
Step-by-step explanation:
3+(-14) is basically writing out 3-14 which is -11
Answer:
-11
Step-by-step explanation:
3+(−14)
Subtract 3 from 14 to get −11.
−11
line that is perpendicular to 3y=5x-1
Answer:
Step-by-step explanation:
3y = 5x - 1
y = 5/3x - 1/3
perpendicular slope is -3/5
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
Answer:
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
The answer is A.
Using the proportional relationship concept, the graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
What is proportional relationship?"If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate."
In a proportional relationship, two quantities vary directly with each other.
We can represent relationships in several ways:
1. An equation in the form of y = kx , where k is the constant of proportionality or unit rate.
2. A graph of a straight line that passes through the origin.
3. A set or table of ordered pairs that show equivalent ratios.
4. A verbal description that describes a describe proportional relationship between two quantities.
Explanation for correct option:
According to the given options
The graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
Explanation for other options:
In option(B),
The graph of a straight line does not passes through the origin.
So, option (B) is not correct
In option(C),
Graph is not given
So, it is also not correct
Hence, the graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
Learn more about proportional relationship here
https://brainly.com/question/8879344
#SPJ2
Kevin uses 2/3 cup of flour to make 2 servings of biscuits. How many cups of flour are there per serving?
[tex] \frac{2}{3} \: cups = 2 \: serving[/tex]
[tex] \frac{ \frac{2}{3} }{2} \: cups = \frac{2}{2} \: serving[/tex]
[tex] \frac{2}{3 \times 2} \: cups = 1 \: serving[/tex]
[tex] \frac{2}{6} \: cups = 1 \: serving[/tex]
[tex] \frac{1}{3} \: cups = 1 \: serving[/tex]
So, there are ⅓ cups of flour in one serving.
Thank you.
Look at the pattern below.
6, 12, 18, 24, 30, 36
What characteristics of this pattern are true?
All the numbers have 4 as a factor.
All the numbers are composite.
All the numbers are a multiple of 3.
All the numbers are divisible by 2.
Answer:
Step-by-step explanation:
4,3,2
How many one-thirds are in one-sixth?
there are (1/6)/(1/3) one-third in one sixth
Step-by-step explanation:
that means
no. of one-third is 1/2
Answer:
there are 2 one third in one sixth