Answers
Answer:
1) x= 20
2) x= 75
Step-by-step explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
40= 2x
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
3x= 225
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!
Related Questions
What is 64^2/4 in a fraction?
Answers
Answer:
128/4 or 32
Step-by-step explanation:
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answers
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
which angle pairs are congruent? Select all that apply
Answers
Answer:
Step-by-step explanation:
The first and last one
PLEASE HELP
On graduating from college, you recieve $3,000 in gifts from family and friends. You want to invest it for later use as $15,000 down payment on a house. You have found an opportunity that locks in a 10% annual interest rate. How many years will it take to turn your graduation gifts into a down payment?
Answers
Answer:
6,346
Step-by-step explanation:
add add multiply and add
Rewrite each as a rational number
2=
3 1/2 =
.035 =
5.67=
Answers
help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.
36÷−4=
Answers
Answer:
the answer is 9 so yeah.....
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answers
Answer:
Reflection across the x-axis
Step-by-step explanation:
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
Answers
Answer:
15
Step-by-step explanation:
A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800
Answers
Answer:
The minimum cost for the transportation for the field trip is $1700
Step-by-step explanation:
Let x be the no. of large buses and y be the no. of small buses
Number of students in large bus = 60
Number of students in x large buses = 60x
Cost of 1 large bus =$300
Cost of x large buses = 300x
Number of students in small bus = 45
Number of students in y small buses = 45y
Cost of 1 small bus =$200
Cost of y small buses = 200y
Cost = 300x+200y
We are given that A school district needs to arrange transportation for at least 360 students
[tex]60x+45y \geq 360[/tex]
The district only has chaperones for, at most, seven buses.
[tex]x+y \leq 7[/tex]
Plot the lines on graph
[tex]60x+45y \geq 360[/tex] --- Black region
[tex]x+y \leq 7[/tex] --- Red region
Feasible points :
At(3,4)
Cost = 300x+200y=300(3)+200(4)=1700
At(7,0)
Cost = 300x+200y=300(7)+200(0)=2100
At(6,0)
Cost = 300x+200y=300(6)+200(0)=1800
So, The minimum cost for the transportation for the field trip is $1700
Answer:
1700
Step-by-step explanation:
2020 edge
Can You Please Help? I swear I will mark brainliest
Answers
Answer:
The answer is 2 inches
Step-by-step explanation:
U just have to divid 20 by 10 and you get ur answer
Select the symbol that properly compares each pair of numbers:
a. -|-15| ___ -(-15)
• <
• >
• =
b. |-18| ___ -18
• <
• >
• =
c. -|-3| ___ -|3|
• <
• >
• =
d. -|-6| ___ |-6|
• <
• >
• =
Answers
Answer:
a. >
b.<
c.=
Step-by-step explanation:
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Amelia's lawn, in inches, tt hours after the snow stopped falling.
Answers
Answer:
s= -1.5t + 18
Step-by-step explanation:
The Equation to represent the depth of snow is s= -1.5t + 18.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We learn from the question that the snow's depth is s and that it takes hours to melt the snow.
The amount of snow is 12 inches deep after 4 hours of melting.
Now, keep in mind that the melting rate is 1.5 inches per hour.
and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.
Thus, the initial snow depth will be 6 + 12 = 18 inches.
Hence, the Equation to represent the depth of snow is s= -1.5t + 18.
Learn more about equation here:
https://brainly.com/question/18510627
#SPJ5
A company is re-evaluating the way they produce standard staple strips. Staples are individually cut from one piece of wire then bent and bonded to other staples before being put into boxes for distribution. The company currently uses 8-meter pieces of wire to create these staple strips; however, four other lengths are also available for use. Which is the shortest available wire that can be used to make a staple strip? A. 4-meter piece B. 5-meter piece C. 6-meter piece D. 7-meter piece
Answers
Answer:
Step-by-step explanation:
The given parameters are;
The length currently used to make staple strips by the company = 8-meter pieces
The process of making staples by the company = Cut, bending, and bonding
Therefore, given that the process of manufacturing staple strips are by cutting strips of wire, we have;
The wire most suitable for the manufacture of staple strips is a wire that is a factor of 8
Therefore, among the given options, the wire with length l = 4-meters which is the 8-meter length split into two, is the most suitable, because 4-meter = 8-meter/2, whereby 4 is seen as a factor 8 or 8 = 4 × 2, such that two 4-meter wire strips will make the same quantity of staple pins as one 8-meter strip.
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answers
y+4 = 1.5 (x+ 8)
y+4 = 1.5x + 12
1.5x - y = -12+4
1.5x - y = -8
Answer:
Answer given in the photo
Ellie ordered 3/4 of a pound of cheese from the deli. The deli has cheese slices that weigh 0.05 pounds each. Enter the number of cheese slices Ellie will receive.
Answers
Which is the factored form of
x2 - 5x – 14
Answers
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
Step-by-step explanation:
(X+2)(x-7)
You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.
Answers
Explanation: If you have $17.70 after 2 games and $14.25 after 5, you do 17.70-14.25; which equals $3.45 so in 3 games you spend $3.45 now divide that by 3 to determine the unit value; which equals $1.15, so you spend $1.15 on every game now times that by 2 which is $2.30 and add that to $17.70 to see the original amount of money on the card which was $20
pair that describes <2 <3
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
‼️NEED HELP ASAP‼️
find f'(x) for f(x) = ln(x^4 + e^2x)
Answers
Answer:
We can do this with u substitution
[tex]f(x) = ln(x^4+e^2^x)\\u = x^4+e^2^x\\f(x) = ln(u)\\f'(x) = \frac{u'}{u} \\u' = 4x^3 + 2e^2^x \\f'(x) = \frac{4x^3 + 2e^2^x}{x^4+e^2^x}[/tex]
we can't simplify further
1 less than the quotient of a number n and 6
Answers
Answer:
(n/6) - 1
Step-by-step explanation:
Quotient means to divide so the Expression will be (n/6)- 1
7s+5c=181.40
9s+1c=132.80
Answers
Answer:
s=12.7
c=18.5
hope this helps :)
6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice
Answers
Answer:
x<0.5
Step-by-step explanation:
this is just like simplifiying equations if you've done that before
first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)
so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.
Then you subtract 3 from both sides to get 8x<4
after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5
just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number
if medain of 10, 20, x+5,x+10,50,60 is 35 then find x
Answers
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in years, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?
Answers
Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Answer:
His error is adding 10 and 2/3 before multiplying by A...
…So option A is your answer.Hope it helps!will mark brainlyest 10/19
Answers
Answer:
answer is 5
Step-by-step explanation:
Identify the range of the function shown in the graph.
Answers
Answer: [tex]-1 \le y \le 1[/tex]
The range is the set of all possible y outputs of a function. The graph shows the smallest possible y value is y = -1, while the largest is y = 1. The value of y can be anything in between.
If you need the range in interval notation, then you would write [-1, 1]. The square brackets indicate we include each endpoint.
Note: This is likely the graph of y = sin(x)
Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP
Answers
Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answers
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
Can someone please help me with this question? It's so tricky
Answers
Answer:
math is tricky but itsall in your head jk you got this
Step-by-step explanation:
Answer:
C. 6 1/2
Step-by-step explanation:
your formula: V=lwh
(turn your fractions into improper numbers)
13/6*6/5*5/2= 13/2= 6 1/2
Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answers
Answer:
you just do 1x2x3x4
and then that equals 24
so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is
240000
Step-by-step explanation: