Money invested by Musa and Akiola together in a buisness=$52,000
Profit earned by Musa =$5,000
Profit earned by Akiola=$8,000
Ratio of profit earned by Musa to the profit earned by Akiola:-
[tex] = 5000 : 8000[/tex]
Now, let us simplify the ratio of their profits:-
[tex] = 5000 : 8000[/tex]
[tex] = \frac{5000}{8000} [/tex]
[tex] = \frac{5000 \div 1000}{8000 \div 1000} [/tex]
[tex] = \frac{5}{8} [/tex]
[tex] = \bold{ 5 : 8}[/tex]
Thus, the ratio of profit earned by Musa to the profit earned by Akiola=5:8
It is given that :-The ratio of profit earned by Musa to the profit earned by Akiola=The ratio of money invested by Musa to the money invested by Akiola
Which means :-The ratio of money invested by Musa to the money invested by Akiola=5:8
Then :-Money invested by Musa :-
[tex] = \frac{5}{5 + 8} \: \: of \: \: 52000[/tex]
[tex] = \frac{5}{13} \: \: of \: \: 52000[/tex]
[tex] = \frac{5}{13} \times 52000[/tex]
[tex] = \frac{5 \times 52000}{13} [/tex]
[tex] = \frac{260000}{13} [/tex]
[tex] = \bold{\$ \: 20,000}[/tex]
Thus, the money invested by Musa =$20,000
Money invested by Akiola:-
[tex] = \frac{8}{5 + 8} \: \: of \: \: 52000[/tex]
[tex] = \frac{8}{13} \: \: of \: \: 52000[/tex]
[tex] = \frac{8}{13} \times 52000[/tex]
[tex] = \frac{8 \times 52000}{13} [/tex]
[tex] = \frac{416000}{13} [/tex]
[tex] = \bold{ \$ \: 32,000}[/tex]
Thus, the money invested by Akiola =$32,000
As the sum of their investments add up to form $52,000 we can conclude that we have found out the correct amount of money each of them invested in the business.
Therefore, the money invested by Musa in the buisness =$20,000 and the money invested by Akiola in the buisness=$32,000
Write an equation in slope-intercept form for a line with m = 3 and includes the
point (0, 2).
Answer:
y=3x+2
Step-by-step explanation:
dont put 0 because it dont make sense
if you put 0 n the equation, you will not will get the right equation
Find the slope of the line y
=2x + 3/7
Answer:2
Step-by-step explanation:
Number by x
Answer:
Below!
Step-by-step explanation:
The equation y = 2x + 3/7 is in slope-intercept form: y = mx + b, where m = slope and b = y-intercept.
Note that m is the coefficient of x, and b is the constant.
The coefficient of x is 2, and the constant is 3/7.
Hence, these are the answers.
[tex]\rule{350}{4}[/tex]
[tex]\frak{-Dream-}[/tex]
An exterior angle of a triangle is 152°. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?
a. 62°, 59°, 59°
b. 90°, 45°, 45°
c. 152°, 14°, 14°
d. 28°, 76°, 76°
9514 1404 393
Answer:
d. 28°, 76°, 76°
Step-by-step explanation:
The sum of the "non-adjacent" interior angles of the triangle is equal to the exterior angle, so is 152°. If those angles are congruent, each is half of 152°, or 76°. The remaining angle is the supplement to 152°, so is 180-152 = 28 degrees.
The interior angles are 28°, 76°, 76°.
PLEASE HELP ASAP
Write the slope-intercept form of an equation of the line that passes through the
given point and is perpendicular to the graph of the equation..
(-3, -2), y = x + 2 .
Answer:
y=-x-5
Step-by-step explanation:
Determine if the figure below has rotational symmetry, line symmetry or both and
describe the transformation that mas the figure onto itself. BE SPECIFIC. You must
name the center of rotation and degree of rotation if it has rotational symmetry or
lines of reflection if it has line symmetry
Answer:
A) Given that the figure is a rectangle, it has a rotational symmetry and by rotating the figure 180° about the center of the figure, the preimage and image will coincide
The figure also has a line symmetry for the vertical line x = 5, and a line symmetry for the horizontal line y = 5
Therefore the figure has both symmetry
B) The transformation that maps the figure unto itself are therefore;
1) Rotating the figure 180° about the point (5, 5) which is the center of the figure
2) Reflection of the figure across the line x = 5 and also reflection of the figure across the line y = 5
Step-by-step explanation:
MATHY MATHEMATICIANS PLEASE ANSWER MY PRAYER AND THIS QUESTION TOO>>>>I WILL OFFER YOU MY BRAINIEST BRIANLY.
The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?
(Graph and answer choices below)
Answer:
C
Step-by-step explanation:
Select "Rational" or "Irrational" to classify each number
Answer:
rational
Step-by-step explanation:
I'm coochie man
please help me.
im dying
Answer:
19/37
Step-by-step explanation:
47/148 + 29/148 = 76/148 = 38/74 = 19/37
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Answer:
$52.50
Step-by-step explanation:
Set up the ratio:
[tex]\frac{24.50}{7}[/tex]
Simplify in order to find the cost per gallon.
The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.
Now you have this left:
[tex]\frac{3.50}{1}[/tex]
Multiply the denominator by 15 since Robert needs 15 gallons.
Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.
Now you have this left:
[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]
Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.
Solve the system of equations below.
y=3x
2x + y = 15
Answer:
x=3
Step-by-step explanation:
2x+(3x)=15
5x=15
x=3
solving for y:
3(3)=9
y=9
Answer:
(y,x) (9,3)
Step-by-step explanation
Draw a graph of the line that goes through the points (-4, 7) and (0, 3)
What is the y-intercept and slope of the line you've drawn?
Answer:
y = -x + 3
Step-by-step explanation:
Use this formula to get the slope [tex]\frac{y2 - y1}{x2 - x1}[/tex]
PLUG IN
[tex]\frac{3 - 7}{0 - -4} \\\\\frac{-4}{4} \\[/tex]
-4/4 = -1
The slope is -1
To find the y- intercept plug your slope and one of your points in this y=mx+b
We will use (0,3)
3 = -1(0) + b (b represents y-intercept)
3 = b
The equation would look like this
y = -x + 3
Hope this helps ya!!
Use the diagram to solve. What is 260% of 6?
Percent
Total
100%
100%
20%
20%
20%
260%
A. 3.6
B. 9.6
C. 15.6
D. 21.6
Answer:
3.6
Step-by-step explanation:
260% of 6
100%= 0.06
100% times 2 is 0.06 X 2= 0.12
200%= 0.12
10%= 0.6
60%= 3.6
200% + 60%=
0.12 + 3.6= 3.72
The closest to 3.72 is 3.6
So the answer is 3.6
Answer:
To find this, multiply 6 by the decimal value of the percent.
6*2.6=15.6
Final answer: 15.6
Step-by-step explanation:
can someone find the slope and y intercept ?
Answer:
Slope = -5/4
Y-Intercept = (0, -4)
Step-by-step explanation:
Step One: Determine two points.
In order to find slope, we have to find the amount of horizontal units (left and right) and vertical units (up and down) that two points are apart. We can choose any two points along this line to compare, so I'll use (0, -4) and (5, 0) since they align perfectly on the grid.
Step Two: Find the difference between the two points.
To find the differences, all we have to do is subtract the second point's X value from the first point's X value. So in this case, we would subtract 5 from 0, which gives us -5.
Next, we have to find the difference in our Y values, so we'll do the same thing here. We'll have 0 - (-4) (or 0 + 4, since subtracting a negative number is technically just addition), which ends up being 4.
Step Three: Put the differences into slope form.
Our slope form is Y/X, or you can think of it as "Rise/Run". We remember that our Y difference was -5, and our X difference was 4, so our end slope would be -5/4.
Step Four: Find the Y-Intercept
Since you have access to a graph of the line, the easiest way is to look at your graph and find the point where the line crosses the Y-axis (the black, vertical line where X = 0). From the graph, we can tell that the blue line crosses the Y-axis at (0, -4), so our Y-Intercept would be (0, -4)
PLS HELP ME OMG I'm doing properties of equality
How much interest is earned on $470 at 4% for 36 months?
Answer:
The interest earned on $470 at 4% for 36 months is $56.4
Step-by-step explanation:
We are given
Principal Amount P₀= $470
Rate r = 4% = 0.04
Time t = 36 months = 3 years
We need to find interest I
The formula used is: [tex]I=P_ort[/tex]
Putting values and finding Interest I
[tex]I=P_ort\\I=470(0.04)(3)\\I=56.4[/tex]
The interest earned on $470 at 4% for 36 months is $56.4
can you please help me with these two questions thank u
Answer:
the answer to question 1 is 24 and the answer to number 2 is 1
Answer:
frist one is 24. second is 1
Step-by-step explanation:
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
Joe pays $25.10 for 2.5 pounds of wall-paper. What is the price, in dollars and cents, per pound of wall paper?
Answer:
10.04
Step-by-step explanation:
25.10/2.5=10.04
Answer:
10.04
Step-by-step explanation:
All you do is divide 25.10 by 2.5, the total($25.10) by the amount(2.5) then that is where
25.10 divided by 2.5 comes from, therefore your answer is 10.04
WHICH ONE DO I PICK?
What is the percent increase 41,700 and 63,00
Answer:
51.0791%
Step-by-step explanation:
Calculate percentage change
from V1 = 41700 to V2 = 63000
(V2−V1)|V1|×100
=(63000−41700)|41700|×100
=2130041700×100
=0.510791×100
=51.0791%change
=51.0791%increase
Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.
Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.
The answer to this question is 7.404
what would the value of X be on this one?
Answer:
i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51
Step-by-step explanation:
Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?
Given:
Jim stands on a dock that is [tex]3\dfrac{3}{4}[/tex] feet above the lake. He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock.
To find:
The Jims vertical location relative to the lake surface.
Solution:
We have,
Vertical location of dock relative to the lake surface [tex]=3\dfrac{3}{4}[/tex] feet
He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock. So,
Vertical location relative to the lake surface [tex]=3\dfrac{3}{4}-12\dfrac{1}{2}[/tex]
[tex]=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}[/tex]
[tex]=\dfrac{12+3}{4}-\dfrac{24+1}{2}[/tex]
[tex]=\dfrac{15}{4}-\dfrac{25}{2}[/tex]
Taking LCM, we get
[tex]=\dfrac{15-50}{4}[/tex]
[tex]=\dfrac{-35}{4}[/tex]
[tex]=-8\dfrac{3}{4}[/tex]
Here, negative sign means Jim location is below the lake surface.
Therefore, Jim is [tex]8\dfrac{3}{4}[/tex] feet below the lake surface.
Answer:-8 3/4
Step-by-step explanation:
I just took the cahoot
Hey, if there is anyone that likes Miraculous ladybug as much as me, you can dial my number and i can pretend to be adrien, chat noir, alya, marinette, or ladybug. (I like acting out chat noir the best) 3856026122
Answer:
This is amazing and funny but I would rather not give a stranger my phone number but i would if I wasnt such protective
Step-by-step explanation:
Answer:
cool
Step -by-step explanation:
brain list me please
What is the measure of ∠ABD?
Answer:
m∠ABD = 114°
Step-by-step explanation:
Given measurements of interior angles are:
m∠D = 2n°
m∠C = 60°
m∠ABD = (4n+6)°
The measurement of exterior angle of a triangle is equal to the sum of two opposite interior angles.
This can be mathematically expressed as:
m∠ABD = m∠C+m∠D
Putting the respective values
[tex]4n+6 = 2n+60\\4n-2n+6 = 60\\2n+6 = 60\\2n = 60-6\\2n = 54\\\frac{2n}{2} = \frac{54}{2}\\n = 27[/tex]
Putting n=27 in (4n+6)°
[tex]=4(27) + 6\\= 108+6 = 114[/tex]
Hence,
m∠ABD = 114°
) Al repartir laminas entre mis amigos, pude darle 5 a
cada uno y me sobran 2. Pero luego llegaron 2 amigos
más, por lo que las repartí de nuevo y pude darle
láminas a cada uno. ¿cuántos amigos había al principio y
cuántas láminas tenia?
Answer:
Había cinco amigos al principio y siete laminas en total. (Using google translate)
Step-by-step explanation:
pude darle 5 a cada = 5 amigos
5 a cada uno y me sobran 2 amigos más, por lo que las repartí de nuevo y pude darle = siete laminas
A circular tablecloth is 6 feet in diameter. How many feet of ribbon would be required
to edge the circumference of this tablecloth? Use 3.14 as the value of pi. Round to
the nearest whole number.
Answer:
You'll need 18.85 feet of ribbon.
Step-by-step explanation:
The circumference is [tex]\pi d[/tex].
[tex]\pi * 6 = 18.85[/tex]
What is 45 percent of 37 A. 0.1665 B. 1.665 C. 16.65 or D 166.5
Answer:
The answer is C. 16.65 Hope that helps :)
45 percent of 37 is equal to 16.65. The correct answer is C) 16.65.
To find 45 percent of 37, we can multiply 37 by 0.45 since 45 percent is equivalent to 0.45 as a decimal.
37 * 0.45 = 16.65
Therefore, 45 percent of 37 is equal to 16.65.
The correct answer is C) 16.65.
The calculation represents taking 45 percent (or 0.45) of the value 37, resulting in the product 16.65. This means that if you were to take 45 percent of 37, you would obtain the value 16.65. It's essential to understand how to convert percentages to decimals to perform accurate calculations involving percentages.
Learn more about percentages here
https://brainly.com/question/29014288
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CAN SOMEONE PLEASE HELP! I WILL MARK BRIANLIEST
Answer:
yes is is proportional
x=ydivided by 3.5
Step-by-step explanation:
Answer: multiplying by 3.5
Step-by-step explanation: because if you divide 7 by 2 you will 3.5
ABC and DEF are similar. Find the missing side length.
Answer:
The missing side length is 5
Step-by-step explanation:
Basically 32 to 4 and 56 to 7 is 8 to 1, so you divide 40 by 8 to get the answer, 5