23. Three businessmen A, B and C enter into
partnership and agree to share the total
profit in the ratio of their investments. A
invested GH¢450, B invested GH¢150
and C invested GH¢600. C received a
profit of GH¢24.70, find
i) the total profit.
ii) the profits made by A and B.
Step-by-step explanation:
A invested 450
B invested 150
C invested 600
total investment was 1200
share of A is 450/1200 = .375
share of B is 150/1200 = .125
share of C is 600/1200 = .5
C received a profit of 24.70.
that would be .5 of the total profit.
if we let x = total profit, we get .5 * x = 24.70
solve for x to get x = 24.70 / .5 = 49.40
A share of total profit = .375 * 49.4 = 18.525
B share of total profit = .125 * 49.4 = 6.175
C share of total profit .5 * 49.4 = 24.7
total profit = 49.4 as we had calculated earlier.
Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.
Given:
The inequalities are:
1. [tex]x-85.2\leq 14.6[/tex]
2. [tex]\dfrac{x}{6}>-23[/tex]
3. [tex]x-43<37[/tex]
4. [tex]8x\leq 128[/tex]
5. [tex]x+4.7>21.6[/tex]
To find:
The inequalities that have 4 as a solution.
Solution:
We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.
1. The inequality is
[tex]x-85.2\leq 14.6[/tex]
Putting [tex]x=4[/tex], we get
[tex]4-85.2\leq 14.6[/tex]
[tex]-81.2\leq 14.6[/tex]
This statement is true. So, the inequality [tex]x-85.2\leq 14.6[/tex] has 4 as a solution.
2. The inequality is
[tex]\dfrac{x}{6}>-23[/tex]
Putting [tex]x=4[/tex], we get
[tex]\dfrac{4}{6}>-23[/tex]
[tex]0.67\leq -23[/tex]
This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.
3. The inequality is
[tex]x-43<37[/tex]
Putting [tex]x=4[/tex], we get
[tex]4-43<37[/tex]
[tex]-39<37[/tex]
This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.
4. The inequality is
[tex]8x\leq 128[/tex]
Putting [tex]x=4[/tex], we get
[tex]8(4)\leq 128[/tex]
[tex]32\leq 128[/tex]
This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.
5. The inequality is
[tex]x+4.7>21.6[/tex]
Putting [tex]x=4[/tex], we get
[tex]4+4.7>21.6[/tex]
[tex]8.7>21.6[/tex]
This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].
Un distribuidor debe repartir 879 botellas de cerveza entre 3 bares. Si el pedido del bar A es la mitad que el del bar B y la cuarta parte del bar C. ¿Cuántas botellas le tocan a cada bar?
Answer:
Total number of bottles Bar A get = 126
Total number of bottles Bar B get = 251
Total number of bottles Bar C get = 502
Step-by-step explanation:
Given - A distributor must distribute 879 bottles of beer among 3 bars. If the order of bar A is half that of bar B and a quarter of bar C.
To find - How many bottles do each bar get?
Proof -
Let us assume that
Total number of bottles Bar A get = x
Total number of bottles Bar B get = y
Total number of bottles Bar C get = z
Now,
Given that
Total bottles distributed = 879
⇒x + y + z = 879 ..............(1)
Now,
Given that, the order of bar A is half that of bar B and a quarter of bar C
⇒x = [tex]\frac{1}{2}y[/tex] , x = [tex]\frac{1}{4} z[/tex]
⇒y = 2x .............(2)
z = 4x ..............(3)
Now,
Put the values of y and z in equation (1), we get
x + 2x + 4x = 879
⇒7x = 879
⇒x = [tex]\frac{879}{7}[/tex] = 125.57
⇒y = 2(125.57) = 251.14
⇒z = 4(125.57) = 502.28
∴ we get
Total number of bottles Bar A get = x = 125.57 ≈ 126
Total number of bottles Bar B get = y = 251.14 ≈ 251
Total number of bottles Bar C get = z = 502.28 ≈ 502
plz help
what is the greatest common factor 9xy-y
then divide it with the number.
Clear selection
Answer the following:
20 points
The area of a rectangular garden is 168 ft2. The length of the garden is
2 ft greater than the width of the garden. This situation can be
represented by the equation w2 + 2w - 168 = 0.
What is the width of the garden in feet?
Answer:
12ft is the width and 14ft is the length
Step-by-step explanation:
Hope this helps!
Which are true about the area of a circle? Check all that apply. The diameter is used in the formula The units are always squared. The area can be found when given the diameter by first finding the radius O The area is the distance around the circle. O Circumference can be used to find area.
Answer:
the second one and the first one
Step-by-step explanation:
Diameter is double radius so divide by two for radius then times by pi and you have area and when it comes to area is it always sqaured
Dollhouse furnishing come in different sizes depending on the size of the doll house. Whyyy ratio of the size of the dollhouse item to the size of the larger item dollhouse piano: 1 3/4 in. High real piano: 3ft 6in. High
Answer:
1: 24
Step-by-step explanation:
The ratio = size of smaller object/size of larger object = Height of dollhouse piano, h/height of real piano, H
H = 3 ft 6 in = 12 in/ft × 3 ft + 6 in = 36 in + 6 in = 42 in
h = 1³/₄ in = 7/4 in
So ratio = h/H = 7/4 in ÷ 42 in = 7/4 in × 1/42 in = 1/4 × 1/6 = 1/24
So ratio = h/H = 1/24 ⇒ h:H = 1: 24
I really need help with this it’s on Aleks
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\sqrt[3]{3y+2}[/tex] + 4 = 6 ( subtract 4 from both sides )
[tex]\sqrt[3]{3y+2}[/tex] = 2 ( cube both sides )
3y + 2 = 2³ = 8 ( subtract 2 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
Please help!!!!!! Will mark brainliest!
Answer:
k
Step-by-step explanation:
Someone pls help:( im new tysm if u doo!
LAST QUESTIONS ABT THIS ASSIGNMENT, DUE IN 6 MINS!!
Answer: 168
Step-by-step explanation: just multiply base times length times height
Fifty- five percent of the students at west side middle school walk to school. What fraction of the students walk to school
Answer:
55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!
Step-by-step explanation:
Mrs. Cravens did an experiment where she recorded the number of minutes each student studied and the score the student made on the test. She calculated a correlation coefficient of r = 0.84. Which best describes the association between the number of hours spent studying and the test score, based on Mrs. Craven's findings?
A: Weak Negative
B: Strong Negative
C: Weak Positive
D: Strong Positive
Help me it’s just median range and meseurement of a square
Select ALL TRUE statements about Quadratic Functions:
A. They are 2nd degree functions.
B. They have "V" shaped graphs.
C. Vertex form is used for graphing.
D. From a table, has a constant second difference.
Answer:
D AND C ARE THE CORRECT ANSWERS
Step-by-step explanation:
NP have a good day brainlest? and heart
Answer:
A and C
Step-by-step explanation:
What is the inverse you would use to solve this problem: c/2=16
Answer:
multiplication
Step-by-step explanation:
BRAINLY TO WHOEVER HELPS ASAP
Answer:
l=-5,-2
m=-3,-3
n=-6,-6
Step-by-step explanation:
I need help fast not not like serious help me
Answer:
D
Step-by-step explanation:
hope it helps .
sorry about the pic , kinda hard to get the whole
Ruth buys 19 identical tickets for £280.25.
Estimate the cost of one ticket.
Answer:
The cost of one ticket is $14.75
Step-by-step explanation:
To find the cost of one ticket we need to divide 280.25 by 19
=$14.75
plz mark me as brainliest
Answer:
The cost of one ticket is $14.75
Step-by-step explanation:
The cost of one ticket is $14.75
To find the cost of one ticket we need to divide 280.25 by 19
=$14.75
please mark as brainliest
Can somebody plz help answer these last questions correctly (only if u know how to do this) if u can answer the because ones too I would appreciate it
Thanks :2
WILL MARK BRIANLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
∠e = 105° because ∠e and the 105° angle are vertically opposite angles
∠h = 75° because ∠h and the 105° angle are supplementary angles
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles
∠b = 75° because ∠b and ∠f are corresponding angles
∠a = 105° because ∠a and ∠e are corresponding angles
∠d = 75° because ∠d and ∠h are corresponding angles
Step-by-step explanation:
The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines
By sing angle properties, we have;
∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal
∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal
Similarly, we have;
∠b = ∠f = 75° because ∠b and ∠f are corresponding angles
∠a = ∠e = 105° because ∠a and ∠e are corresponding angles
∠d = ∠h = 75° because ∠d and ∠h are corresponding angles
what is x in the expression 5x +7
Answer:
-1.4
Step-by-step explanation:
5x+7=0
5x=-7
x= -1.4
Answer:
1.4
Step-by-step explanation:
5x + 7
x +[tex]\frac{7}{5}[/tex]
x = 1.4
Can someone help me with this. Will Mark brainliest.
Answer:
true
Step-by-step explanation:
a rhombus always has opposing parallel sides, qualifying it as a parallelogram
Answer:
true
Step-by-step explanation:
all rhombuses have opposite sides equal and parallel and opposite angles are congruent
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times
in between equally likely.
a) What is a probability that Chris changes a given tire in less than 9 min?
b) What is the probability that it takes between 9 min and 11.5 min?
c) What is the probability that it takes exactly 10 min?
Answer:
8 because I just guess 8
Step-by-step explanation:
because I that's all you need to know
You buy a pair of jeans for $32.00. The sales tax is 6%. How much will you have to pay?
Answer:
$33.92 ($1.92 in tax)
Step-by-step explanation:
% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.
$32.00
+ $1.92
=$33.92 total.
Look at the two-dimensional net shown.
A rectangular pyramid. The rectangular base has a length of 10 meters and height of 3 meters. 2 triangular sides have a base of 10 meters and height of 6.4 meters. 2 triangular sides have a base of 3 meters and height of 8 meters.
Which statements are true?
Check all that apply.
The solid formed by the net will be a rectangular pyramid.
The solid formed by the net will be a square pyramid.
All four triangular faces have an area of 12 m2.
There are two sets of opposite congruent triangular faces.
The base has an area of 30 m2.
Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.
Pyramid B: Base is square with 10 meter sides.
Heights are the same.
Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.
If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),
V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³
The new volume of pyramid B is EQUAL to the volume of pyramid A.
Apply the distributive property to create an equivalent expression. 6(5x -3) (HELP PLSSS)
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
D. 6x2 + 3x - 7
Step-by-step explanation:
Graph the following exponential function given the table of
values.
Answer:
D
Step-by-step explanation:
Here, we want to select the graph of the given exponential function values
Let us take a look at the y-intercept
At the y-intercept, the value of x is 0
The y-intercept for this particular equation is 1
This mean that the y-intercept value is 1
hence, the graph will touch the y-axis at the point y = 1
looking at the graphs , only the graph D provides this, and that should be our answer
I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.
The square plot of land has a larger area when x is 3.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:
A = [tex](6x³)^2 = 36x^6[/tex]square feet
To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:
A = (3x⁵)(7x²) = 21x⁷ square feet
To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:
Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet
Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet
Therefore, the square plot of land has a larger area when x is 3.
To learn more about Algebraic expression from given link.
brainly.com/question/28884894
#SPJ1
Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?
Answer:
3/20
Step-by-step explanation:
Fabric left over = total fabric purchased - total fabric used to make a tote bag
total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =
[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]
fabric left over = 1 - 34/40
40 / 40 - 34/40 = 6 /40
To transform to the simplest form. divide both the numerator and the denominator by 2
3/20