Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Add
to both sides of the equation
Simplify
Add
to both sides of the equation
Simplify
6
Divide both sides of the equation by the same term
what is the perimeter of polygon lmnpq?
Answer:
The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. Perimeter = Sum of all sides.
Formula:
The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n. The measure of exterior angles of a regular n-sided polygon = 360°/n.
Step-by-step explanation:
hope it helps...mark me as a brainlist
Help me with this question ASAPPPP!!!!!!!
Answer:
B
Step-by-step explanation:
I think its B
Hope this helps!
pt.2 for find tge unknown
Answer:
[tex]c = 65[/tex]
[tex]x = 158[/tex]
Step-by-step explanation:
In the first triangle, one of the angles are already given to us, the 25. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]90 + 25 = 115 \\ 180 - 115 = 65[/tex]
In the second triangle, one of the angles are already given to us, the 68. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]68 + 90 = 158 \\ 180 - 158 = 22[/tex]
We figured out all the angles inside the triangle.
68, 90, and 22. We need to find the exterior angle. Remmeber that Consecutive angles are supplementary. The 22 and the x are one a straight line. A straight line equals 180 degrees. You are going to subtract 22 from 180 to get your answer.
[tex]180 - 22 = 158[/tex]
If you wanted to write it as an equation and solve it, it would be:
[tex]22 + x = 180[/tex]
Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
angled triangle.
Answer:
AB = √18 , BC=√18 and CA =4
AB²+BC² = CA² and AB=BC
ΔABC isosceles right angled triangle.
Step-by-step explanation:
Given vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k
A( 0,7,10), B( -1,6,6) C(-4,9,6)
AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k
AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]
BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j
BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]
CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k
CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]
Since AB²+BC² = CA²
And AB=BC
Therefore it follows that ΔABC is a right angled isosceles triangle
WILL GIVE BRAINLIEST IF CORRECT!!
Adam and Simon start on bicycle trips from the same point at the same time. Adam travels east at 8mph and Simon travels south at 6mph. After how many hours are they 60 miles apart?
Answer:
4 miles
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
pythagroeom therom
A function is initially defined by the set of coordinate pairs ((-3,7), (1,5), (4,13)). Which coordinate pair below, if added to this set, prevents the set from representing a function?
1) (2,5) 2) (5,0) 3) (-1,8) 4) (1,4)
Answer:
(1,4)
Step-by-step explanation:
Given
[tex]\{(-3,7), (1,5), (4,13)\}[/tex]
Required
Which pair makes the relation not a function?
A function is defined as:
[tex]\{(x_1,y_1), (x_2,y_2), (x_3,y_3)..... (x_n,y_n)\}[/tex]
Where each x values (domain) are unique and different from one another.
In the given function, the x values (domain) are: -3, 1 and 4
To get a pair that makes the relation, not a function; we have to select from the given options, any option that has either of -3, 1 and 4 as its x values.
From the list of given options.
4) (1,4) has an x value of 1
Hence, the solution to this question is (1,4)
Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes. How many more baskets did Nico shoot per minute?
Answer:
2
Step-by-step explanation:
Molly:
20 baskets / 4 minutes = 5 baskets/minute
Nico:
42 baskets / 6 minutes = 7 baskets/minute
7 - 5 = 2
Answer: 2
Answer:
Step-by-step explanation:
Ratio....
M = 20:4
N = 42:6
Slope....
M = 5 shots per minutes
N = 7 shots per minutes
Nico shot 2 more baskets per minute than Molly did
Hope this helped!
Determine whether the statement below is true or false. Justify the answer. An orthogonal matrix is invertible. Choose the correct answer below. A. The statement is false. Only nonzero orthogonal matrices are invertible. B. The statement is false. Only orthogonal matrices with orthonormal rows are invertible. C. The statement is true. An orthogonal matrix is a square invertible matrix U such that . D. The statement is true. An orthogonal matrix is a square invertible matrix U such that
Answer:
not so sure about this one
A box contains 2 red crayons, 6 blue
crayons, 5 green crayons, 9 yellow crayons,
and 3 purple crayons. A crayon is drawn
at random, not replaced, then another is
drawn. Find each probability,
P(yellow, then green)
P(both blue)
Answer:
yellow 9/25
yellow and green is 14/25
Using it's concept, it is found that the probabilities are given as follows:
P(yellow, then green) = 0.075 = 7.5%.P(both blue) = 0.05 = 5%.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 9 out of 25 are yellow, then 5 out of 24 will be green, hence:
P(yellow, then green) = 9/25 x 5/24 = 45/(25 x 24) = 0.075 = 7.5%.
For both blue, we have that they are, respectively, 6 out of 25 and 5 out of 24, hence:
P(both blue) = 6/25 x 5/24 = 30/(25 x 24) = 0.05 = 5%.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
please help!! if ur not gonna then, dont answer pls
Find an equation of the line that has a slope of -1 and a y intercept of 6. Write your answer in the form y=mx+b
Answer:
y = -x + 6
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -1
y-intercept b = 6
Step 2: Write Equation
Substitute in variables into the general form
y = -1x + 6
y = -x + 6
Answer is :
y = -x + 6!!!!
Step-by-step explanation:
Interest of $1,632 with principal of $16,000 for 306 days (ordinary interest) results in a rate of
Answer: 12%
Step-by-step explanation:
divide and simplify 6/7÷(-13/2)
Answer: -12/91
Step-by-step explanation:
6/7 ×-2/13=-12/91
Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school. Write an expression to show that each traveled the same distance.
Answer:
sqrt(15² + 3²) = sqrt(15² + 3²)
Step-by-step explanation:
Using Pythagoras:
15 blocks North = 15 blocks south (direction opposite to each other)
3 blocks west = 3 blocks east (directions opposite to each other)
Hence distance traveled (d) :
JARON
D = sqrt(15² + 3²)
MARISOL:
D = sqrt(15² + 3²)
Hence ;
sqrt(15² + 3²) = sqrt(15² + 3²)
Question in picture below Will give brainly
Answer:
J 120
Step-by-step explanation:
6.
Triangles TUV and TWV are congruent triangles.
Angles U and W are corresponding angles, so they are congruent.
m<U = m<W
7x + 15 = 8x
Subtract 7x from both sides.
15 = x
m<U = 7x + 15 = 7(15) + 15 = 8(15) = 120
Answer: J 120
Martina used 3/4 of a bottle of conditioner in 7/12 of a year. How much conditioner would she use in a full year
Step-by-step explanation:
7 months = 3/4
1 month = 3/4 ÷ 7
= 3/28
12 months / 1 year = 3/28 x 12
= 9/7
not sure if its correct
Answer: 1 2/7
trust me it just worked for me on IXL
What is the relationship between the ratios?
8/11 and 24/33
Drag and drop to correctly complete the statement.
The ratios are ________.
Enter your answer in the box.
Answer:The ratios are _Equivalent_______.
Step-by-step explanation:
Step 1
Equivalent ratios are ratios that have the same value even though they look different. When we divide or multiply a given ratio by the same number ( in the numerator and denominator )we get anther equivalent ratio.
Step 2
In the given ratios
8/11 and 24/ 33
8/ 11 x 3/ 3 = 24/ 33
also
24/33 ÷ 3/3 = 8/11
This shows that the relationship between the ratios are equivalent.
Dwayne is going on a hike to the top of a mountain. It will take 3 hours and 40 minutes to hike up the mountain and 1 hour and 50 minutes to hike back down. If Dwayne wants to finish the hike by 1:45 P.M., what is the latest time he can start the hike up the mountain?
Include A.M. or P.M. in your answer. Please help me fast !!!
Answer: 8:15Am
Step-by-step explanation:
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
-1, 2, 4
9514 1404 393
Answer:
f(x) = x³ -5x² +2x +8
Step-by-step explanation:
If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:
f(x) = (x -(-1))(x -2)(x -4)
= (x +1)(x -2)(x -4)
= (x² -x -2)(x -4)
f(x) = x³ -5x² +2x +8
2. Maria lives in Honduras. She is applying for a microcredit loan to start a street food business. The start-up costs for her business include $65 for the cart and 8900 for a freezer, plus the cost of bulk foods. She estimates her total start-up cost will be $1,053. a. If b represents the cost of the bulk foods, write and solve an equation to find the cost of the bulk foods Maria plans to buy. b. Maria has monthly costs of $420 and expects monthly sales of $725. Use the formula PMR-C), where P represents profit, R represents monthly revenue or sales, and represents monthly costs, to find the number of months it will take her to make $2,000 in profit. 3. An organization has raised $5,000 that it would like to use to provide $200 microloans to residents of a particular community. Of the $5,000 they raised, $400 must be used for administrative costs like the salaries of employees who set up the loans and the paperwork required. Write and solve an equation to determine how many microloans the organization can provide
Answer: girl/dude/they/them, that's a lot to read....
Step-by-step explanation:
Which ordered pair is a solution of this equation? x - 7y = -3
Answer:
Step-by-step explanation:
(-3,0)
Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.
Answer:
The three consecutive POSITIVE ODD integers are: 3, 5 and 7
Step-by-step explanation:
If x is an integer, then there consecutive positive odd integers are:
x , x + 2, x + 4 are three consecutive integers.
Where
First integer, a = x
Second integer, b = x + 2
Third integer, c = x + 4
We are told to:
Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.
Hence, this is represented as:
a × c = 6(b) - 9
Where
a = x
b = x + 2
c = x + 4
x (x + 4 ) = 6(x + 2) - 9
x ² + 4x = 6x + 12 - 9
x² +4x - 6x - 12 + 9= 0
x² - 2x - 3 = 0
Factorising
x² +x - 3x - 3 = 0
x (x + 1) -3(x + 1) = 0
(x - 3) (x + 1) = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
Since, x cannot be negative for this question, x = 3
First integer, a = x = 3
Solving for:
Second integer, b = x + 2
b = 3 + 2 = 5
Solving for :
Third integer, c = x + 4
c = 3 + 4 = 7
Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Please help me please !!!
Answer:
3 milkshakes and 3 sundaes
Step-by-step explanation:
3 * 5 = $15 + 3 * 2 = $21
Pls hurry I need the answer
=============================================
Work Shown:
Apply the law of cosines
a^2 = b^2 + c^2 - 2*b*c*cos(A)
10^2 = 13^2 + 11^2 - 2*13*11*cos(A)
100 = 290 - 286*cos(A)
100-290 = -286*cos(A)
-190 = -286*cos(A)
190 = 286*cos(A)
286*cos(A) = 190
cos(A) = 190/286
A = arccos(190/286)
A = 48.368620460647
A = 48
Make sure your calculator is in degree mode.
Solve the following systems of equations by graphing. Write your answer in the form of (x, y).
y = x + 8 and y = 5x + 4
Answer:
(x,y) = (1,9)
Step-by-step explanation:
y = x + 8 and y = 5x + 4
sum of 23.5 , 2.1, 6.07 , and 0.893
two planes travel a constant speed. plane A travels 2.800 miles in 5 hours plane B travels 3.885 miles in 7 hours. which plane is faster?
The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test if the average age of males is greater than the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.0095, what is the appropriate conclusion
Answer:
Result is significant ; hence we can conclude that the average age of male is greater than that of females.
Step-by-step explanation:
Given that:
Let :
u1 = mean age of male
u2 = mean age of female
Null hypothesis : H0 : u1 = u2
Alternative hypothesis : H1 : u1 > u2
P value for hypothesis test conducted = 0.0095
Using a significant level α 0.05 or 0.01, :
The P value < α
Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.
Select all values that satisfies the inequality 2f >–8
options-
4
4
0
-6
3.5
-2.25
-100
Step-by-step explanation:
2f > -8
f > -4
The values greater than -4 here are 4, 0, 3.5 and -2.25.
Question 4 of 5
Find the length of side a
O A 1
O B. 25
O C. 5
O D. V313
Answer: 5
Step-by-step explanation:
It’s half