Given:
Mrs. Applegate owns [tex]\dfrac{3}{19}[/tex] of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns [tex]=\dfrac{3}{19}[/tex] of the business.
[tex]x+3x+\dfrac{3}{19}=1[/tex]
[tex]4x=1-\dfrac{3}{19}[/tex]
[tex]4x=\dfrac{19-3}{19}[/tex]
[tex]4x=\dfrac{16}{19}[/tex]
Divide both sides by 4.
[tex]x=\dfrac{16}{4\times 19}[/tex]
[tex]x=\dfrac{4}{19}[/tex]
Now,
Mrs. Brown owns [tex]=3\times x[/tex]
[tex]=3\times \dfrac{4}{19}[/tex]
[tex]=\dfrac{12}{19}[/tex]
Therefore, Mrs. Brown owns [tex]\dfrac{12}{19}[/tex] of the business.
Evaluate the function for x = 2,3,4
F(x) =2x-7-3
Answer:
below in bold
Step-by-step explanation:
f(x) = 2x - 7 - 3
~Combine like terms
f(x) = 2x - 10
When x = 2...
f(x) = 2(2) - 10
f(x) = 4 - 10
f(x) = -6
When x = 3...
f(x) = 2(3) - 10
f(x) = 6 - 10
f(x) = -4
When x = 4...
f(x) = 2(4) - 10
f(x) = 8 - 10
f(x) = -2
Best of Luck!
Which reason justifies statement 2?
A) Vertical angles are congruent
B) Corresponding angles are congruent
C) Alternate interior angles are congruent
D) Alternate exterior angles are congruent
Answer:
Step-by-step explanation:
Is b) corresponding angles are congruent.
The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure, then
[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.
We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.
Since Alternate interior angles are always congruent to each other.
Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ6
How many solutions does the absolute value equation have?
I x - 3 I + 2 = -2
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.
__
Additional comment
Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6
Answer: y = x/4 + 2
Y equals one fourth x plus two.
Step-by-step explanation:
There seems to be a typo on answer choice c.
Slope intercept form is y= mx + b
m is the slope. b is the y-intercept.
The y-intercept is given here in the coordinate (0,2) It is +2
Slope is rise/run.
Rise: Difference in given y-values is 4-2 = 2.
Run: Difference in x-values is 8-0=8.
So the slope is 2/8 = 1/4
The equation is y = 1/4 x + 2
5. Cherries are on sale for $16 for 4 pounds. Jordyn pays $28.00 for
cherries to make a cobbler. How many pounds of cherries does she buy? *
Answer:
7 pounds
Step-by-step explanation:
1 pound is $4 28/4 is 7
A number decreased by 22 is 44. Which equation can be used to solve this problem
Answer:
44+22=x or x-22=44
Step-by-step explanation:
X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.
Hope this helps please mark brainliest :D
Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?
Answer:
Its area is 370 square centimeters.
Step-by-step explanation:
12345678912345678991-12345678912345678912
I need help with 10 please!!!!!!!
From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)
That means cut ( b ) and ( d ) choice, they both are wrong.
Now look at ( a ) and ( c ).
For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2). f(x) = -2x is just slope and intercepts y-axis at (0,0)
So the answer is ( c )
24% of 72 is what number? (will mark brainliest for full explanation)
Answer:
300
Step-by-step explanation:
Answer:
17.28
Step-by-step explanation:
Multiply 72 by .24, .24 being 24% because it is 24 out of 100.
Please help fast!! Is this a function?
Answer:
It's not a function..
Step-by-step explanation:
Just take a look at it.
what did u studied about functions before doing this type of problem in math?
Does it look like it? no.
Answer:
That looks very hard .. sorry :(
Step-by-step explanation:
4. The value of a copy machine is $8500 when it is purchased. After two years its value is $7475. What is its value after 8 years?
Answer:
3375 is the answer.
Step-by-step explanation: 8500- 1025=7475
so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.
I hope this works :)
Please help with both and leave a small explanation! I wanna double check my answers!
Answer:
(1)Hoops shadow would be 6 ft (2) model would be 3 cms
Step-by-step explanation:
9 / 3 = 3 3 x 2 = 6 ft
15 / 5 =3 3 x 1 = 3 cm
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
I need help with whole thing teacher is putting pressure on me and I have a 10 in her class
Answer:
So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.
So when it says X -4
Y 5
Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)
Step-by-step explanation:
I really hope this helps you its hard to describe over type:(
Good luck:))
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
50 POINTS!!!
Please I need fast and correct answer. I will award best answer with brainliest!!!
Answer:
[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]
Step-by-step explanation:
vertical angle theorem states that the angle vertical from another angle has to be congruent
p.s. i found it
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
9x+6+4x-2x+1-15
What is the answer?
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
9x+6+4x−2x+1−15
9 − 8 + 4 − 2
Step-by-step explanation:
Which angles are adjacent angles to 3? Select all that apply
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
blank over five plus eighteen over twenty equals thirty over twenty
Answer:
3 and i use flvs too, also that pfp is fire
Step-by-step explanation:
Answer:
the answer is 3
Evaluate the expression 8-3×2+5
Answer:
7
Step-by-step explanation:
First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7
Find the slope using the formula.
(-2,-9) and (-6,-6)
Answer:(3,-4) you just have to follow the equation.
Slope = change in y over change in x.
Slope = (-6 - -9) / (-6 - -2)
Slope = (-6 + 9) / (-6 + 2)
Slope = 3/-4
Slope = -3/4
(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.
What is the correct order of the rational numbers in the table from least to greatest?
A) -1.5, 2.9, -1/2, 3 3/4, 4.6
B) -1/2, -1.5, 2.9, 3 3/4, 4.6
C) -1.5, -1/2, 2.9, 3 3/4, 4.6
D) 4.6, 3 3/4, 2.9, -1/2, -1.5
Answer:
C
Step-by-step explanation:
Write the next three terms: 7,10,13,16,
Answer:
7,10,13,16,19,21,24,27
Step-by-step explanation:
Add 3 every time
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
A game uses a single 6-sided die.
To play the game, the die is rolled one time, with the following results:
Even number = lose $10
1 or 3 = win $3
5 = win $8
What is the expected value of the game?
Rewrite the expression in the form a^n
Answer:
a7/5
Step-by-step explanation:
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.
Answer:
Step-by-step explanation:
Let width of rectangle =X
So length=5x
Given area of rectangle =320inch
Area of rectangle =length ×width
Length×width=320
5X×X=320
5x^2=320
x^2=320/5
x^2=64
So X=√64
Width x= 8inch
Length 5x=5×8
= 40 inch
Perimeter of rectangle =2(length+width)
=2(40+8)
=2(48)
=96inch