Answer:
[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.
The interior angles of a triangle must equal 180 degrees.
All 3 angles are the same.180/3= 60 All 3 angles in an equilateral triangle equal 60 degrees.The question tells us the angle is equal to (4x-20).
∠= 60°∠= (4x-20)°So, by substitution, we can set 60 and (4x-20) equal to each other.
[tex]60=4x-20[/tex]
Now, solve for x by isolating the variable on one side of the equation.
20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.
[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]
x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{80}{4}=\frac{4x}{4}[/tex]
[tex]\frac{80}{4}=x \\\ 20=x[/tex]
x is equal to 20 and choice 1 is correct.
O salário de um artista é calculado através da função y = 2000 + 500x onde Y representa o valor total em Reais recebido em um mês de trabalho e "x" o número de shows realizados no mês. Qual foi o salário desse artista no mês em que realizou 12 shows?
Answer:
The artist's salary in the month is 8000.
Step-by-step explanation:
The salary of an artist is given by the function :
y = 2000 + 500x ....(1)
where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.
We need to find the artist's salary in the month she performed 12 shows.
Put x = 12 in equation (1)
y = 2000 + 500(12)
= 2000 + 6000
= 8000
Hence, the artist's salary in the month is 8000.
Please help ASAP help please
Answer:
The ladder is 10 ft long...
(2x - 9) (x + 4) = 0
What the answer
Answer:
x = 4.5 AND x = -4
Step-by-step explanation:
for the first answer
add 9 to 0 and divide by 2
for the second answer
subtract 4
Answer:
x = 9/2 and x = -4
Step-by-step explanation:
you can set each expression in the parenthesis' equal to zero. this is due to it being multiplication so if one parenthesis equals 0, the answer will be 0
2x - 9 = 0 and x + 4 = 0
starting with 2x-9=0
add 9 to both sides
2x = 9
divide by 2
x = 9/2
then do x + 4 = 0
subtract 4
x = -4
so your two answers are
x = 9/2 and x = -4
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
Jasmine sold half of her Barbie doll Collection
and then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many
Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earning now?
Answer:
100% of 200 is 200, so she's now making $400 per week
Step-by-step explanation:
i hope this helped :)
−2(1 − 5v) Please help with this i got it wrong twice
Answer:
Step-by-step explanation:
Sorry for the bad handwriting :(
When paying for a restaurant order, a customer spent $18.00 ( for tip and cost) for a $15.00 meal. What percent was the tip? *
Answer:
16.67%
Step-by-step explanation:
The customer spent a total of $18 on a $15 meal. This means that, if counting tax within the $15 meal, the tip is $3.
Divide 3 with the total cost:
3/18 = ~0.1667
Change to percentage. Simply move the decimal point to the right two place values, and add a percentage sign:
0.1667 to a percent = 16.67%
16.67% is your answer.
~
Answer:
1.6 %
Step-by-step explanation:
15/18= 8.4
4. A boat shop rents its boats for $20 per hour and charges a flat fee of
$10 dollars for insurance in case of damage. What is the total cost for
renting one boat for 5 hours? Hint: multiply and add the fee. *
O $100
$110
$30
O $70
Answer:
4 hours
Step-by-step explanation:
Let x = # of hours
22x + 10 = 98
-10 -10
____________
22x = 88
22
x = 4
What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.
If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?
A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.
Answer:
Aiden should expect a multiple of 2 to be rolled 150 times.
Step-by-step explanation:
300 can be divided evenly 2 times.
Your mother gave you $13.32 with which to buy s present. This covered 3/5 of the cost. How much did the present cost?
Answer:
The cost of the present is $22.20
Step-by-step explanation:
A 40-foot flagpole casts a 25-foot
shadow. How long is the shadow
cast by a nearby building that is
200 feet tall?
find the slope of (-6, 10) and (-14, 2) and put into y=mx+b form
Answer:
m=1
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
Picture attached below
Answer:
it's answer is B. 4/5
Step-by-step explanation:
perpendicular (p) = 8
hypotenuse (h) = 10
sin < A
= p/h
= 8/ 10
= 4/ 5
Hope it will help :)
What is the slope of the line?
Answer:
I believe m=-5/3
At 6 AM, the temperature outside was -12 degrees Celsius. The temperature increased by 5 degrees every hour. Which equation describes the temperature in degrees, d(h), to hours, h, after 6 AM?
A hot air ballon went from an elevation of 6,669 feet to an elevation of 3,402 in 54 minutes. What was its rate of descent?
Answer:
elevation refers to the height of the balloon. Descent refers to moving down, and rate of descent refers to how quickly the balloon moved down.
In this case, we have a descent of 2,125 feet (initial height of 5,439 - ending height of 3,314). Since it took 34 minutes for the balloon to descend this distance, we divide the descent by the time (2,125/34). This gives us a rate of 62.5 feet per minute.
That means that the balloon traveled downward 62.5 feet every minute. That's a fast moving balloon!
Step-by-step explanation:
hopefully this helps
Hello I really need help. Thanks :)
Answer:
y + 1 = 4/3(x - 9)
Step-by-step explanation:
Point-slope form: y - y₁ = m(x - x₁)
Substitute the numbers into the equation:
y - (-1) = 4/3(x - 9)
y + 1 = 4/3(x - 9)
3,480 divided by 29 Please help me
Answer:
120
Step-by-step explanation:
Hope this helps :)
What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4
Answer:
Step-by-step explanation:
7
MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.
Answer:
A = 80 S =70
Step-by-step explanation:
#Adults tickets = A
#Students tickets = S
A + S = 150
5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether
3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether
5A + 3S = 610 (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)
Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.
A + S = 150
5A + 3S = 610
Substitution:
A = 150 - S (Rearrange the first equation by moving S to the other side)
Substitute into the other equation
5 (150 - S) + 3S = 610
750 - 5S + 3S = 610 Combine like terms : -2S = -140
Solve for S = 70
Substitute into A + S = 150 A + (70) = 150
A = 80
Please Help :(
Evaluate the expression when x = 9:
5|6−x|
A)−30
B)10
C)15
D)75
Answer:
it is C
Step-by-step explanation:
Its c because i had the exact same problem
I need help for this math question
Answer:
13= hypotenuse
12=adjacent
5=opposite
the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with
Answer:
it started off with 7 members
(read the whole explanation)
Step-by-step explanation:
Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.
If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,
hope this helps!!!!
Are the ratios 13:9 and 6:3 equivalent?
6th grade math help me pozzzz
Answer:
t= -9/10= -0.900
Step-by-step explanation:
¿Qué es una semirrecta numérica?
Answer:
La respuesta está abajo
Step-by-step explanation:
Un rayo numérico es una línea con un extremo. Un rayo comienza en un punto dado y se va en una dirección determinada para siempre, hasta el infinito. El punto donde comienza el rayo se llama el punto final.
por favor marca me brainliest con la corona
Fred has 45 football cards. Scott has 1/5 as many football cards as Fred. How many football cards does Scott have?
Answer:
9
Step-by-step explanation:
Scott has 45 * 1/5 football cards
45 / 5 can be simplified to 9
Answer:
Scott has 9 football cards.
Step-by-step explanation:
If Scott has 1/5 as many football cards as Fred, then the number of football cards Fred has times 1/5 would result in the number of football cards Scott has;
Fred * 1/5 = Scott
45 * 1/5 = 9
ILL GIVE BRAINLIEST!!!!
9. Fred bought 24 new baseball cards for $50. There were two types of cards. One type cost $1 per card, and the other cost $3per card. Define the variables, and write a system of equations to find the number of each type of card he bought. Then solve the system using the best method for the situation.
Answer:1$ cards = 11 cards 3$ cards= 13
Step-by-step explanation:the first equation is -x-y=-24 and the second is x+3y=50. Solving them as a system will get 2y=26 to y=13 then plug in 13 to the y for -x-y=-24 to get 11. Mr jacobs is hard I know lol. Use elimination by subtraction and keep the first equation as x+y=24 and then flip to negative