Answer:
See Explanation
Step-by-step explanation:
Given
[tex]ABD = 0.18x +67[/tex]
[tex]CBD = 0.07x + 48[/tex]
Required
Find x
The question is incomplete as the relationship between ABD and CBD is not stated.
Assume ABD = CBD
The solution is:
[tex]0.18x + 67 = 0.07x + 48[/tex]
Collect like terms
[tex]0.18x - 0.07x= - 67 + 48[/tex]
[tex]0.11x= -19[/tex]
Solve for x
[tex]x = -\frac{19}{0.11}[/tex]
[tex]x = -172.72[/tex]
Assume ABD and CBD are supplementary
The solution is:
[tex]ABD + CBD=180[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]
[tex]0.25x = 65[/tex]
Solve for x
[tex]x = \frac{65}{0.25}[/tex]
[tex]x = 260[/tex]
Assume ABD and CBD are complementary
The solution is:
[tex]ABD + CBD=90[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]
[tex]0.25x = -25[/tex]
Solve for x
[tex]x = \frac{-25}{0.25}[/tex]
[tex]x = -100[/tex]
Which graph represents the function f(x) = 4|x|?
Which graph represents the function f(x) = 4|x|?
It looks like a "V" going straight up from 0, and hits both 4 and -4 y while going up perfectly
The graph opens upward, and it has a vertex of (0,0)
What is vertex?The vertex of an equation is the minimum or the maximum point on the graph of the equation
The equation of the graph is given as:
[tex]f(x) = 4|x|[/tex]
The above equation represents an absolute value function
An absolute value function is represented as:
[tex]f(x) = a|x -h| + k[/tex]
So, by comparison, we have:
[tex]a = 4[/tex]
[tex]h = 0[/tex]
[tex]k = 0[/tex]
This means that the graph opens upward, and it has a vertex of (0,0)
See attachment for the graph of [tex]f(x) = 4|x|[/tex]
Read more about absolute value functions at:
https://brainly.com/question/3381225
A number cube is rolled twice. What is the P (2 and then odd number)?
Answer:
P (2 and then odd number) = [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Probability refers to chances of occurrence of any event.
A number cube is rolled twice.
Possible outcomes are as follows:
[tex](1,1),(1,2),(1,3),(1,4),(1,5),(1,6)[/tex]
[tex](2,1),(2,2),(2,3),(2,4),(2,5),(2,6)[/tex]
[tex](3,1),(3,2),(3,3),(3,4),(3,5),(3,6)[/tex]
[tex](4,1),(4,2),(4,3),(4,4),(4,5),(4,6)[/tex]
[tex](5,1),(5,2),(5,3),(5,4),(5,5),(5,6)[/tex]
[tex](6,1),(6,2),(6,3),(6,4),(6,5),(6,6)[/tex]
Total number of outcomes = 36
Favorable outcomes include outcomes with 2 and then odd number.
So,
Favorable outcomes are [tex](2,1),(2,3),(2,5)[/tex]
Number of favorable outcomes = 3
Probability is equal to number of favorable outcomes divided by total number of outcomes.
Therefore,
P (2 and then odd number) = Number of favorable outcomes ÷ Total number of outcomes
[tex]=\frac{3}{36}[/tex]
[tex]=\frac{1}{12}[/tex]
g(1) = 4
g(n) = g(n-1).(-3)
g(3)=
g(1) = 4
g(n) = g(n-1).(-3)
g(3)= 2g(2) = 24 = 16
The ratio of melanie's allowance to jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00,how much allowance does melanie get?
Answer:
1.00
Step-by-step explanation:
x=(5*4.1)20.5
x=1
A ______ is a comparison of two quantities. ratios can be a part-to-part,part-to- _______, or whole -to- __________ comparisons. ratios can be written with the word _____, with a _______, or as a ___________.
Answer:
ratio
part-to-whole
whole-to-whole
with the word to
with a colon
or as a fraction
Step-by-step explanation:
HELPP ME PLEASEEE!!!
don’t put those link/file things it gives me ur info and i can hack;)
Answer:
2 x ( -4 ) = -8
Step-by-step explanation:
2 x 4 = 8
a negative x a positive = negative
so therefore the answer is -8
Num cinema, há 12 fileiras com 16 poltronas e 15 fileiras com 18 poltronas. O número total de poltronas é
Responder:
462 assentos
Explicação passo a passo:
Dado que :
Número da linha = 12; Número de assentos por fila = 16
Número de linhas = 15; número de assentos por fila = 18
Número total de assentos para as 12 filas:
12 * 16 = 192 assentos
Número total de assentos para as 18 filas:
15 * 18 = 270 assentos
Número total de assentos:
(192 + 270) = 462 assentos
x^2-4x+6x-24 factored
Answer: (X+6)(x-4)
Step-by-step explanation:
x^2-4x+6x-24 ==> x^2+2x-24
*Find two numbers that multiplied gives you -24 and add up to 2*
(6)(-4)= -24 6-4=2
Final result= (x+6)(x-4)
Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Answer: B. One fourth times the product of 8 and 3, then divide by 5.
Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth.
A) 53.05 in3
B) 104.72 in3
C) 392.70 in3
D) 523.60 in3
Answer:
D
Step-by-step explanation:
it's D I don't have a full step by step
y=x(2)-2x-3 find the value of x when y=1
Please help.
Show work
Answer:
6 or A
Step-by-step explanation:
Let's say n is equal to f(x). So "n is equal to g(x) and g(x) is equal to 3c + f(x) - 15 so when
n = 9 and c = 4 when I substitute I get 3(4) + (9) - 15 = 12 + 9 -15 = 21 - 15 = 6
5. Amaris buys a car for $12,000. Each year it decreases in
value by 5%. Write an equation to represent the value of the
car after t years.
Answer:
12,000-(0.05x)=t
Step-by-step explanation:
Dallas put g gallons of gas in his car. If the car holds 21 gallons to begin, which expression tells how much gas was in the car before Dallas bought gas?
Answer:
21
Step-by-step explanation:
tee hee
Answer:
if you are talking about distance on cars i have provided you with a chart of different cars prices and the distance they went/ Vehicle Miles per gallon Gas price, per mile
Subaru Outback 21 $0.14
Chrysler Sebring 21 $0.14
Porsche Boxster 22 $0.13
PT Cruiser 22 |$0.13
\
A line passes through the origin point (3,5). What is the slope of the line
Answer:
3/5
Step-by-step explanation:
just took the test
Answer:
3/5
Step-by-step explanation:
hope it helps :D
find rational numbers between -3/2 and 5/3
Answer:
Five rational numbers between -5/3 and -8/7 are- Read more on Sarthaks.com - https://www.sarthaks.com/830151/find-five-rational-numbers-between-5-3and-8-7
Step-by-step explanation:
A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need?
Round to the nearest foot.
Answer:
16.97 feet
Step-by-step explanation:
a^2=b^2+c^2
24^2=576
b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet
Graph the equations to solve the system.
y = 2x - 6
y = -x-3
Click on the correct answer.
no solution: 0
solutions, all
numbers on the line
one solution: {0,-3)
one solution: (1.-4)
Answer:
one solution: (1.-4)
Step-by-step explanation:
y = 2x - 6...... (1)
y = -x-3......(2)
Plug y = -x-3 in equation (1)
2x - 6 = - x - 3
2x + x = 6 - 3
3x = 3
x = 3/3
x = 1
Plug x = 1 in equation (2)
y = - 1 - 3
y = - 4
(x, y) = (1, - 4)
Please help ASAP thanks:)!!!!!
Answer:
I think its
Step-by-step explanation:
left second one
Math help please I promise to give brainliest
Answer:
y = 0.5
x = 4 - y (0.5)
3.5 = 4 - 0.5
------------
3x - 10 = y
3(3.5) - 10 = y
10.5 - 10 = y
0.5 = y
Answer: 0.5
Step-by-step explanation:
Solve for x
19/10 = x/12
Answer:
x=19
Step-by-step explanation:
19/12=x/12
19*12=x*12
228=12x
228/12=x
19=x
Mathhhhhhhhhhh which one is correct
Answer:
slope = 4
y intercept = -3
Step-by-step explanation:
The equation is put in slope intercept form
Slope intercept form: y = mx + b
where m = slope and b = y intercept
looking at slope intercept form
4 is located where m should be , meaning that the slope is equal to 4 and
-3 is located where b should be , meaning that the y intercept is -3
Therefore the answers are the first and last option choices.
a class sold tickets to their school play. each of the 23 students in the class sold 4 tickets. the cost of each ticket was 7 $ how much money did the class earn by selling tickets to the play
Answer:
$234
Step-by-step explanation:
because they did.....
Answer:
$644
Step-by-step explanation:
1: 23 students times 4 tickets sold each student is 92 tickets sold in total
2: 92 tickets times 7$ per ticket is $644
Hope this helps :P
Which of the following is a factor of 21? 0 5 7
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons
A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound
Answer:
[tex]W=59.7408J[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]f=4N[/tex]
Force Direction [tex]\arrow (4,-2)[/tex]
Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]
Distance traveled Direction point (0,4) to point (5,-1)
Generally the equation for work done is mathematically given by
[tex]W=force*distance[/tex]
[tex]W=f*d_t\\W=4*7*2.1336[/tex]
[tex]W=59.7408J[/tex]
Wanda rode her bike 5km the first day and she rode her bike 10,000m the second day. How many meters, in total, did Wanda ride in the two days?
Answer:
there are one thousand (1,000) meters in a kilometer. So, 5,000 plus 10,000 is 15,000 meters.
Step-by-step explanation:
Find the slope of the line that passes through the pair of points (-6,2),(5,-1)
Answer:
y = -3/11x + 4/11
Step-by-step explanation:
y2 - y1/ x2 - x1
-1 - 2/ 5 - (-6)
-3 / 11
y = -3/11x + b
-1 = -3/11(5) + b
-1 = -15/11 + b
4/11 = b
What’s the answer? PLEASE ! NO LINKS. thanks !
Answer:
84 [tex]cm^{2}[/tex]
Step-by-step explanation:
find the area of each shape and add them together
Question of
Two sides of a trangle have the following measures 7, 10 Find the range of possible measures for the third side.
Answer:
3 < x < 17
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
