Answer:
m = 3
Step-by-step explanation:
Hello!
We can solve for m by isolating the variable.
Solve for m-6 + 7m = 6m - m-6 + 7m = 5m => Simplify7m = 5m + 6 => Add 6 to both sides2m = 6 => Simplifym = 3 => Divide by 2The value of m is 3.
What is -2=-1+n/8? I’ve been stuck on it for a while
Answer: n= -8
Step-by-step explanation:
1. -2 = -1 + [tex]\frac{n}{8}[/tex]
2. -1 = [tex]\frac{n}{8}[/tex]
3. -8 = n
Find the slope of the line that passes through the following points: (-4,-2) and (-3,5)
Triangle ABC is shown below, with the angle measures as marked.
What is the measure of Angle A and B?
The measure of Angle A and Angle B are 54° and 122° respectively.
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;
In triangle ABC,
The measure of angle A = (n + 20)°
The measure of angle B = (3n - 10)°
The measure of angle C = n°
Now,
The sum of all the angles of the triangle = 180°
So, we can formulate;
(n + 20)° + (3n - 10)° + n° = 180°
Solve for n as;
n + 20 + 3n - 10 + n = 180
5n + 10 = 180
5n = 180 - 10
5n = 170
Divide by 5, we get;
n = 170/5
n = 34
Thus, The measure of angle A = (n + 20)°
= 34 + 20
= 54°
And, The measure of angle B = (3n - 10)°
= 3 x 34 + 20
= 102 + 20
= 122°
Therefore,
The measure of Angle A and Angle B are 54° and 122° respectively.
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ1
Which of the binomials below is a factor of this expression?
25x^2-4y^2z^2
answer- 5x-2yz
The binomials 5x-2yz are a factor of this expression
25x^2-4y^2z^2
This is further explained below.
What are binomials?Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.
After monomials, this is the sort of sparse polynomial that is the easiest to understand.
The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.
25 x^2-4 y^2 z^2
Rewrite 25 x^2 as (5 x)^2.
(5 x)^2-4 y^2 z^2
Rewrite 4 y^2 z^2 as (2 y z)^2.
(5 x)^2-(2 y z)^2
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.
(5 x+2 y z)(5 x-(2 y z))
Simplify.
(5 x+2 y z)(5 x-2 y z)
Read more about binomials
https://brainly.com/question/13870395
#SPJ1
Use each of the three corresponding base and height pairs to find the area of the triangle. Why is the area the same for each calculation?
Answer:
The three correct corresponding pairs that gives the same area are;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]The areas are the same in each case because the product of each pair is the same.
Explanation:
Given the base and height pairs in the question.
Let us use the corresponding pairs that gives the same area.
Firstly, for the first pair;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times10\times7=35cm^2 \\ A=\frac{1}{2}\times10\times2.5=12.5cm^2 \end{gathered}[/tex]Secondly, the second pair is;
[tex]\begin{gathered} A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times5\times3.5=8.75cm^2 \\ A=\frac{1}{2}\times5\times2.5=6.25cm^2 \end{gathered}[/tex]Thirdly, the third pair;
[tex]\begin{gathered} A=\frac{1}{2}\times14\times3.5=24.5cm^2 \\ A=\frac{1}{2}\times14\times7=49cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]Therefore, the three correct corresponding pairs that gives the same area are;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]The areas are the same in each case because the product of each pair is the same.
How many more votes did bill clinton get than george bush? about 44 million about 6 million about 25 million
Answer:
Step-by-step explanation:
B - 6 million
b. 6 Million
You can learn more about this through the link below
https://brainly.com/question/15380823#SPJ4
On what day does frank first get charged an overdraft fee? a. wednesday b. thursday c. friday d. saturday
Frank first get charged an overdraft fee on Wednesday
Frank has $66.50 in his account as of Sunday.
He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.
Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.
Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.
Therefore, Frank was therefore assessed an overdraft fee on Wednesday.
To learn more about debit click here:
brainly.com/question/12269231
#SPJ4
Provide an example and explain the steps to convert a fraction into a percent.
According to the rules of significant figures 7.898 + 5.23 = 13.13. This is because the least precise value in the problem is 5.23, which is precise only to the hundredths digit, so the answer must also be rounded to the nearest hundredths.True or False
The given expression is
[tex]7.898+5.23=13.13[/tex]It's important to know that the rules of significant figures state that the resulting number of a sum of decimal numbers may have no more significant numbers than the least number of significant figures.
In other words, the answers can't be more precise than the least precise number in the sum.
Therefore, the given statement is true.
Greg is at his house he gets in his car drives north 8. 9 miles and stops at a store then he turns around and drives south 7. 7 miles to his friends house how far is the friends house from Greg’s houses?
His friend's house is 1.2 miles away from his house.
How do you know his friend's house is 1.2 miles away from his house?Well, the solution to this math problem is very simple. We just need to remove a number away from another. In other words, we only need to do some subtraction.
Subtraction is one of four main arithmetic operations in which we use to take away a number or an amount from another number or amount. Remember that the commutative law doesn't apply to subtraction, so we really need to be careful to pick what number is subtracted by the other number.
The distance from Greg's house to the store is 8.9 miles away. That's the number that is going to be subtracted. His friend's house is 7.7 miles away from the store. This is the number that we're going to subtract from the previous number. Mathematically, we can express this as:
8.9 - 7.7 = 1.2
We're left with 1.2, which is the distance in miles from Greg's house to his friend's house.
Learn more about subtraction here: https://brainly.com/question/29082131
#SPJ4
due in an hour pls help!!
just tell me where to put the points
Translation is defined as an interpretation into another language or context. The Spanish word "bueno," which translates to "good," serves as an illustration. A translation can involve explaining to a parent the significance of their teen's expression.
What is the translational equation?The translation equation or formula is written as g(x) = f(x+k) + C.
Example
(x -3, y - 2)
x - 3 y - 2 ;
x-3 y-2
x-3y - 2
x² - x - 6 =0
-x + 3 > 2x + 1
line(1, 2),(3 ,1)
f(x) = x³
prove tan²(x) - sin ²(x) = tan²(x) sin²(x)
d /dx(3x + 9/2 -x)
(sin²(0))
sin (120)
lim(x -> 0 (xln(x))
= 0 3/2n.
To Learn more About Translation, Refer:
https://brainly.com/question/1574635
#SPJ13
If the cost of an 800 number is $29.95 per month plus 28 cents per minute, then the monthly cost varies directly as the number of minutes.TrueFalse
We have the monthly cost is fixed: $29.95.
The cost varies directly as the number of minutes since the total cost per month will be:
[tex]29.95+\frac{28}{100}x[/tex]If we make a call and spend 30 minutes. We need to add this cost to the payment:
[tex]undefined[/tex]13+14=3×f;f=9 helppp
Answer: 3x=13+14
3x=27
x=27/3
x=9
Step-by-step explanation: Maybe.
Look at the table below. Which of the following is the constant rate of change?
Given data:
The first value of x is a=-16.
The first value of y is b=20.
The second value of x is c=-12.
The second value of y is d=15.
The expression for the rate change is,
x=(d-b)/(c-a)
Substitute the given values in thhe above expression.
x=(15-20)/(-12+16)
=-5/4
Thus, he constant rate of change is -5/4.
what is 4.5=m + 2.75
4.5 = m + 2.75
Solving for m:
Subtract 2.75 from both sides:
4.5 - 2.75 = m + 2.75 - 2.75
1.75 = m
m = 1.75
18. An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed
containing no bluegrass seed (0%) should be added to the seed mixture for a resulting
blend that is 20% bluegrass seed? Construct a table, then solve.
Step-by-step explanation:
what table is your teacher taking about ?
in any case this is resistive easy to solve
80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :
80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2
80×0.1 = x×0.2
x = 80×0.1/0.2 = 80/2 = 40 pounds
so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).
2 Four friends go to the ice cream shop to purchase frozen
yogurt. Each friend gets a part strawberry and part
vanilla.
• Lucas gets 0.25 strawberry.
Adrianna gets % strawberry.
Ricardo gets 0.8 strawberry.
Jasmine gets % strawberry.
•
•
Arrange the friends in order from least to greatest amount of
strawberry in their yogurt.
Least
Greatest
Answer:
12
Step-by-step explanation:
Photo plus charges $2 for each print plus a $6 processing fee. Picture time charges $3 for each print plus a $4 processing fee. for what number of prints is the price the same at both stores
The sum of 4 consecutive integers is 170. What is the largest number in the group?
The largest number when the sum of 4 consecutive integers is 170 will be 44.
According to the question,
We have the following information:
Sum of four consecutive integers = 170
Now, let's take the first integer to be x.
So, the next 3 integers will be (x+1), (x+2) and (x+3) respectively.
Now, the largest number will be (x+3).
Adding 4 consecutive integers:
x+ (x+1) + (x+2) + (x+3) = 170
4x+6 = 170
4x = 170-6 (Moving 6 from the left hand side to the right hand will result in the change of the sign from plus to minus.)
4x = 164
x = 164/4
x = 41
So, the next three consecutive integers will be 42, 43 and 44.
Hence, the largest of the four consecutive integers is 44.
To know more about consecutive integers here
https://brainly.com/question/1767889
#SPJ1
describe the transformation of f represented by G then graph each function
Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.
5)
Transformation 2: the function is shifted 2 units up
Explanation
[tex]f(x)=x^4[/tex]Step 1
the first transformation is the function multiplied by a constant ( 1/2)
If the function is multiplied by a value less than one, all the values of the equation will decrease, leading to a “shrunken” appearance in the vertical direction
so
[tex]\begin{gathered} f(x)=x^4\Rightarrow\frac{1}{2}x^4 \\ \frac{1}{2}is\text{ smaller than 1, so} \end{gathered}[/tex]Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.
5)
Step 2
the second transformation is add 5
[tex]f(x)=x^4\Rightarrow\frac{1}{2}x^4\Rightarrow g(x)=\frac{1}{2}x^4+5[/tex]If a positive number is added, the function shifts up the y-axis by the amount added.
so,
Transformation 2: the function is shifted 2 units up
I hope this helps you
what is Vivian's new account balance?
Answer: 218.65 US$
Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64
Answer:
$218.65
Step-by-step explanation:
She starts with a balance of $187.56. When she deposits money she is adding to the account.
$187.56 + $49.73 = $237.29
When she spends money money is being subtracted from her account.
$237.29 - $18.64 = $218.65
explain how you got the answer please
Answer:
I cannot include a picture, but the slope is -2/3, and the y-intercept is (0, 3).
Step-by-step explanation:
When given an equation like this, remember the formula y=mx+b that you should have learned. This formula is the slope-intercept formula that you can use. The m is the slope and the b is the intercept. In the equation, the x is what we are trying to find.
y=-2/3x+3
y=mx+b
m=-2/3
b= (0,3)
So, graph the slope as -2/3 and the y-intercept as (0,3).
Hope this helps!
Use the figure to find the measures of the numbered angles. The problem number 2. I’m just trying to make sure I’m doing these correctly.
Angle 2 and angle of 34° are vertical angles, then they are congruent, that is,
[tex]m\angle2=34\degree[/tex]Angle 6 and angle of 34° are corresponding angles, then they are congruent, that is,
[tex]m\angle6=34\degree[/tex]Angle 4 and angle of 34° are alternate interior angles, then they are congruent, that is,
[tex]m\angle4=34\degree[/tex]Angle 7 and angle of 34° are same-side interior angles, then they are supplementary, that is,
[tex]\begin{gathered} m\angle7+34\degree=180\degree \\ m\angle7=180\degree-34\degree \\ m\angle7=146\degree \end{gathered}[/tex]Angles 4 and 3 are same-side interior angles, then they are supplementary, that is,
[tex]\begin{gathered} m\angle4+m\angle3=180\degree \\ 34\degree+m\angle3=180\degree \\ m\angle3=180\degree-34\degree \\ m\angle3=146\degree \end{gathered}[/tex]Angles 7 and 5 are vertical angles, then they are congruent, that is,
[tex]\begin{gathered} m\angle5=m\angle7 \\ m\angle5=146\degree \end{gathered}[/tex]Angles 1 and 3 are vertical angles, then they are congruent, that is,
[tex]\begin{gathered} m\angle1=m\angle3 \\ m\angle1=146\degree \end{gathered}[/tex]Please Help Please ASAP
A normal distribution has = 32 and = 5.
(a) Find the z score corresponding to
x = 27.
(b) Find the z score corresponding to
x = 43.
(c) Find the raw score corresponding to
z = −3.
(d) Find the raw score corresponding to
z = 1.1.
a) z score corresponding to x = 27 is -1
b) z score corresponding to x = 43 is 2.2
c) Raw score corresponding to z = -3 is 17.
d) Raw score corresponding to z = 1.1 is 37.5
Given,
Normal distribution with μ = 32 and σ = 5
a) z score corresponding to x = 27
z = (x - μ) / σ
Then,
z = (27 - 32) / 5 = -5/5 = -1
That is, z score corresponding to x = 27 is -1.
b) z score corresponding to x = 43
z = (x - μ) / σ
Then,
z = (43 - 32) / 5 = 11/5 = 2.2
That is, z score corresponding to x = 43 is 2.2
c) Raw score corresponding to z = -3
z = (x - μ) / σ
Then,
-3 = (x - 32) / 5
-3 × 5 = x - 32
-15 = x - 32
x = 32 - 15 = 17
That is, raw score corresponding to z = -3 is 17.
d) Raw score corresponding to z = 1.1
z = (x - μ) / σ
1.1 = (x - 32) / 5
1.1 × 5 = x - 32
x = 32 + 5.5 = 37.5
That is, raw score corresponding to z = 1.1 is 37.5
Learn more about z score and raw score here:
https://brainly.com/question/22813880
#SPJ1
A pet boarder keeps a dog-to-cat ratio of 5:2. If the boarder has room for 98 animals, then how many of them can be dogs in a ratio
Answer:We have 70 dogs
Step-by-step explanation:
dogs: cats: total5 2 7We want 98 animals98/7 =14We need to multiply each number by 14dogs: cats: total…
hope this helps
ASAP please Hurry
The number of issues of books from a library are given for the years 2001–2011. The numbers are in hundreds of thousands.
Answer:
See attached graph.
Step-by-step explanation:
Use DESMOS graphing software. Free.
what is the size of the angle between south and south east
The angle between north and south = 180°. The angle between East and South = 90°. The angle between South and West is 90° and between South and East is also 90°. So the sum of these two angles is equal to 180°. Since these two angles are adjacent to each other so they form a linear pair.
2. What is the equation of a line that passes through the points (-0.92, 2.49) and (-5.62, 9.76)? Write your answer in point-slope form.
Answer:
Step-by-step explanation:
-0.92 2.49
-5.62 9.76
Rise = 9.76 - 2,49 = 7.27
Run: -5.62 - (-0.92) = -4.7
Slope (Rise/Run) = (7.27.`-0.92) = -1.55
The line has the form:
y = 1.55x + b
We need to find a value of b that forces the line through both point, Use one of the points and solve for b. I'll use (-0.92, 2.49).
y = 1.55x + b
2.49 = 1.55(-0.92) + b
b = 2.49 - 1.426 = 1.064
The equation is y = 1.55x + 1.0
Whats the Point-Slope Equation for the line that goes through
(-3, 5) and (-7, 4)