Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
The measure of angle ABC = ABD + DBC = 95 degrees.
Let's plug our values from the picture into our equation above.
95 = 2x + 23 + 9x - 5
Combine like terms
95 = 11x + 18
Subtract 18 from both sides
77 = 11x
Divide both sides by 11
7 = x
Angle ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37 degrees.
Angle DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58 degrees.
4 Apoint Q with coordinates of (8. 6) is reflected across they axis. What is the new
Coordinate
Answer:
8. -6
Step-by-step explanation:
is the product of two rational numbers always a rational number?
Answer:
Yes, it's always rational.
Step-by-step explanation:
To ensure profits, a store is going to sell a sweater for 115 percent of the production cost. It costs $10 to make the sweater. Below are the calculations for finding the selling price. What mistake did the store owner make? (Original Cost)(Percent) = New Cost ($10)(0.115) = $1.15 The new cost is correct. The owner should have divided by 0.115. The owner should have multiplied by 11.5. The owner should have multiplied by 1.15.
Answer:I did the test and the answer is The owner should have multiplied by 1.15.
Step-by-step explanation:
Sample text
To make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.
What is percentage?" Percentage is defined as the hundredth part of any given number".
According to the question,
Production cost of a sweater = $10
To ensure profit , selling price = 115 percent of the production cost
(Original Cost)(Percentage)
[tex]= (10)(\frac{115}{100} )[/tex]
[tex]= $11.5[/tex]
Hence, to make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.
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Solve4(a+4) - 2 = 34
Answer:
a = 5
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain a variable.
Answer or i can giv u the ansur if you want it
Step-by-step explanation:
One half of g plus thirty-two is as
much as the sum of fifteen and six times
g.
Answer:
g=34/11 0r g = 3.09 (approx)
Step-by-step explanation:
1/2g + 32 = 6g + 15
=> 32-15 = 6g-1/2g
=> 17 = 11/2g
=> 34/11 = g
or
g = 3.09 (approx.)
solve for the equation 3x+2=8
I'm Pretty Sure The Answer Is x=2
Hope This Help's
Answer:
2
Step-by-step explanation:
When subtract the 2 from the right side and subtract it from the right side, then divide three from the left side and then divided it from the right side, then you should end up with x=2
Jack is fishing on a pier that is 2 feet above the water. When he casts his rod, the hook
on his line lands 8 feet below water. What is the total distance his hook traveled?
Answer:
10 feet
Step-by-step explanation:
2 + |-8| = 10
Hope this helps, have a great day:)
The smallest number by which 28 should be
multiplied so as to get a perfect square is
O2
O 4
03
07
Answer:
7
Step-by-step explanation:
28x7=196
196=14^2 aka a perfect square
It rained 0.84 inches on Saturday and 0.8 inches on Sunday. How much did it rain on Saturday and Sunday combined?
Answer:
1.64
Step-by-step explanation:
The first step to do is to line up the decimal points. We have to add a zero to 0.8 so that the decimal points will align (this does not change the value).
0.84
+0.80
Then bring down the decimal point into the answer column, and add like normal.
0.84
+0.80
1.64
Hope this helps!
which function would have a range of all real numbers
Answer:3
3
Step-by-step explanation:
REPOST PLEASE HELP ME IVE BEEN WORKING FOREVER I CANT FAIL!!!
1. Bailey withdrew $135 from her checking account.
Part. If x represents the variable in the word problem above, explain what the variable should
represent
Part It: Write an algebraic expression to model the situation.
Part II: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based
on their length of employment. Write an algebraic expression that describes how much Bailey's
employer pays part-time workers. SHOW WORK ON EVERYTHING!!!!!
Answer:
Step-by-step explanation:
Part 1: x represents her bank account
Part2: 135-x=y
Part 3: I'm not sure how long she's worked there, but it would look like: 7.85x=y. X representing number of hours
Help please picture attached
Answer:
-10
Step-by-step explanation:
3/5(b)=-6
Divide -6 by 3/5, you get -30/3.
Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??
Answer:
I believe the term is the index number
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 10 ) ∘ ∠A=(2x−10) ∘ and m ∠ B = ( x − 2 ) ∘ ∠B=(x−2) ∘ , then find the measure of ∠ A ∠A.
Answer:
Angle A = 58 degrees
Angle B = 32 degrees
Step-by-step explanation:
First of all, we will need to know that complementary angles are angles that sum up to 90 degrees.
This means that if we add the values of angle A and angle B, they will both sum up to 90 degrees.
i.e (2x-10) + (x-2) = 90
3x -12 = 90
3x = 102
x = 34 degrees
We can substitute this value of x into the equations for angles A and B
A = (2 X (34) - 10 ) = 58 degrees
B = ( 34 - 2) = 32 degrees
Therefore, angles A and B are 54 and 32 degrees respectively.
Check: We can add the two angles to see if we get 90 degrees. 58 + 32 = 90 degrees. This shows that the two angles are complementary and our answer is correct.
Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?
3, 4, 5
3, 6, 9
5, 5, 5
5, 10, 5
Answer:
5, 5, 5
Step-by-step explanation:
i saw it on quizlet
The set of side length that represents a triangle with 3 lines of reflectional symmetry is 5,5,5
Reflectional symmetry is a line that divides a triangle into halves. The halves the triangle are divided into are a reflection of each other.
A triangle is a shape that has three sides with three angles which sum up to 180 degrees.
Types of triangles :
Equilateral triangle : the three sides of the triangle have an equal length. It has three lines of reflectional symmetry Right-angled triangle : the square of the longest side is equal to the sum of the square of the other two sides Scalene triangle : all the three sides of the triangle have different lengths. It has no line of reflectional symmetry. Isosceles triangle ; it has two sides that have an equal length. It has one line of reflectional symmetryTo learn more about reflectional symmetry, please check: https://brainly.com/question/1593820?referrer=searchResults
During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in the height of the water over an 8 week period?
Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know [tex]x=8[/tex], since we need to find the change for 8 weeks.
[tex]y = -5\cdot 8[/tex]
[tex]-5 \cdot 8 = -40[/tex]
[tex]y=-40[/tex]
The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!
Answer:
40 inches evaporated
Step-by-step explanation:
5 in / week
Multiply 5 in by 8 wks
= 40 inches of water evaporated over 8 wks
4(n+9)-3(2+n)
Help now plz
Answer:
n + 30
Step-by-step explanation:
[tex]4(n+9)-3(2+n)\\\\\mathrm{Expand}\:4\left(n+9\right):\quad 4n+36\\=4n+36-3\left(2+n\right)\\\\\mathrm{Expand}\:-3\left(2+n\right):\quad -6-3n\\=4n+36-6-3n\\\\\mathrm{Simplify}\:4n+36-6-3n:\\\quad n+30[/tex]
Answer:
4n + 36 - 6 -3n
n + 30
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
Mary is half of her sister's age. The sum of their
ages is 18. How old is her sister?
Answer:
Mary's sister is 12 years old.
Step-by-step explanation:
If Mary is half of her sister's age, her sister is 2 times her age.
Represent M as Mary's age...
M+2m=18
3m=18
3m/3=18/3
m=6
But because Mary is a half of her sister's age...
6*2=12
Answer:
12 years
Step-by-step explanation:
12/2 = 6
12 + 6 = 18
what number cubed equals 2744
What is the value of x?
-7.5 (x-3)=3.75
Answer:
x= 2.5
Step-by-step explanation:
-7.5 (x-3) = 3.75
(divide both sides of the equation by -7.5)
x-3 = -0.5
(move the constant to the righthand side and change the sign)
x = -0.5+3
(calculate the sum)
x = 2.5
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q. If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
Step-by-step explanation:
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement is therefore ~p → ~q.
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
What is additive inverse?The additive inverse of any number is defined as when it is added to the number it gives zero as a result.
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q
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Select all sets in which the number -
is an element
A. rational numbers
B. integers
C. natural numbers
D. whole numbers
E. irrational numbers
Freal numbers
wowowoowowowowowowowow
Find the values of x for which f(x) = g(x).
f(x) = x2 + 2x + 1,
g(x) = 5x + 19
Mr.V's trail mix uses 1/2cup of peanuts, 2 1/4 cups raisins, and he uses 2 times more sunflower seeds than raisins.How many total cups of trail mix can mix can Mr.V make
Answer:
The total number of cups is 9 1/2 cups
Step-by-step explanation:
Here, we are interested in calculating the total cups of trail mix that Mr V can make.
From the question, we are told that he used 1/2 cups of peanuts, 2 1/4 cups of raisins and 2 times more sunflower seeds than raisins.
So basically, we need to find the number of cups of sunflower seeds used.
The information we have here is that he used 2 times more of raisins;
Thus, the number of cups of sunflower would be 2 * 2 1/4 = 2 * 9/4 = 9/2. But practically is 9/2 , two times more than 2 1/4? NO!
What we should do here is to add 9/2 to 2 1/4. In that case, the difference between the two will be 2 times the cups of raisins;
So 9/2 + 9/4 = (18 + 9)/4 = 27/4
So the total number of cups of trail mix that can be made will be;
1/2 + 27/4 + 9/4 = (2 + 27 + 9)/4 = 38/4 = 19/2 = 9 1/2 cups
A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2
A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2
This is what I need help with.
please help very confused limited time!
slope-intercept form: y = mx + b
m = the slope and b = the y-intercept.
We know that the line passes through x-coordinate 1 and y-coordinate 1 and has a slope of 2
Let's plug our numbers into the slope-intercept form
1 = 2(1) + b
Simplify the right side
1 = 2 + b
Subtract 2 from both sides
-1 = b
The final answer: y = 2x - 1
a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up
Answer:
Step-by-step explanation:
Erika: y = 35x + 100
Ly: y = 60x + 25
60x + 25 = 35x + 100
25x + 25 = 100
25x = 75
x= 3 weeks
Erika: y = $35(3) + 100= 105 + 100 = $205
Ly: 60(3) + 25 = 180 + 25 = $205