2+3+7=12
12=12000
2?=
2×12000=24000÷12=2000.
R2000 for the first girl.
Step-by-step explanation:
3×12000=36000÷12=3000.
R3000 for the second girl.
7×12000=84000÷12=7000.
R7000 for the third girl.
Each of the three girls would get R2,000, R3,000 and R7,000 respectively.
Given the following data:
Total amount = R12,000.Ratio = 2:3:7Sum of ratio = [tex]2+3+7[/tex] = 12.To share R12,000 among three girls in the ratio of 2:3:7:
How to calculate a ratio.In this exercise, you're required to share the total amount of money among three girls in the ratio of 2:3:7. Thus, we would solve as follows:
For a ratio of 2:
[tex]Amount=\frac{2}{12} \times 12000\\\\Amount=\frac{24000}{12}[/tex]
Amount = R2,000.
For a ratio of 3:
[tex]Amount=\frac{3}{12} \times 12000\\\\Amount=\frac{36000}{12}[/tex]
Amount = R3,000.
For a ratio of 7:
[tex]Amount=\frac{7}{12} \times 12000\\\\Amount=\frac{84000}{12}[/tex]
Amount = R7,000.
Read more on ratio here: brainly.com/question/13513438
Can someone help me please
Answer:
Domain: -3,-2,0,2
Range: 2,-2,-3,-1,1
Step-by-step explanation:
Domain is the x values and the Range is the y values
Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if f(x) = ln(x + 5) – 1 and g(x) = x3 – 2x + 1?
Answer:
There are two possibilities of determine which solution is the smallest one:
(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]
(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]
Step-by-step explanation:
Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:
[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)
This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:
Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]
There are two possibilities of determine which solution is the smallest one:
(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]
(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]
The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given functions;
f(x) = ln(x + 5) – 1
g(x) = x³ – 2x + 1
After graphing both the function, we get the three solutions of the given equation,
[tex]\rm \left(-1.577,0.223\right)[/tex]
[tex]\left(0.18,0.645\right)[/tex]
[tex]\left(1.376,0.853\right)[/tex]
Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]
To learn more about the function, refer to:
https://brainly.com/question/5245372
#SPJ5
What is the answer for cos(43) = sin(?)
Answer:
Step-by-step explanation:
cos 43=cos (90-47)=sin 47
Select all irrational numbers.
Answer:
Square root of 8, 10, and 15
Step-by-step explanation:
15. A hot dog stand sells of its hot dogs before noon, and of its hot dogs after noon. At the
end of the day they have 21 hot dogs left. How many hot dogs did they sell?
PLEASE HELP WILL MARK BRAINLEST!
Answer:
Step-by-step explanation:
The first thing to do is convert to a common denominator.
So 1/2 =4/8. That means the vendor sold 4/8+3/8=7/8 of its hot dogs. 280 = 7/8. Now if you divide 280 by 7, you get 1/8 (answer = 40). The vendor sold 7/8 and 1/8 was left, which = 40. 8/8 would be 280 + 40 = 320.
Determine if the two triangles are congruent. If yes, which theorem proves their congruence?
Answer:
Not congruent.
The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.
Step-by-step explanation:
plz help me with the puiz
What is the value of x?
32
54
36
68
Help ASAP plz and thank you
Answer: i think its 36
Step-by-step explanation:
126 = x + 58
x = 126 - 58
x = 68
hope this helps... !!!
Plz help me with this
Find The Product of:
[tex] \sqrt[3]{2} \times \sqrt[6]{5} [/tex]
Answer:
Step-by-step explanation:
You can find the cube root of 2 and multiply it by the 6th root of 5.
cube root(2) = 2^(1/3) = 1.2599
6th root of (5) = 0.7418
Product = 1.2599 * 0.7418 = .9346
You need a key that will do fractional powers. Look around on your calculator for ^ that key y^x or x^y.
Using one of those keys, you would put in 2 ^ 0.33333333 =
If your calculator does not have this key (I recommend you buy one that does. They are less than 10 dollars), then you can use the calculator on windows.
A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...
Tn=-2n+19
Step-by-step explanation:
Well in south africa we use Tn
Tn=a+(n-1)d
a=is the first term in the sequence which is 17
d=is the the difference between the terms which is - 2
Tn=17+(n-1)(-2)
Tn=17-2n+2
Tn=-2n+19
6+6= (mod 4)
Determine what number the sun is congruent to in mod 4
Answer:
c gsudhdbxjxjsjsbhxidhsv susb
Savannah's cat weighs 9 pounds. Savannah's dog weighs 4 3/4 times as much as her cat. How much does Savannah's dog weigh?
Answer:
42.75 pounds
i think :))
Step-by-step explanation:
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test
Answer:
p = 0.0116
Step-by-step explanation:
We are given;
Population mean; μ = 200 mg
Sample mean; x¯ = 194.3 mg
Standard deviation; σ = 21 mg
Sample size; n = 70
Formula for z-score is;
z = (x¯ - μ)/(σ/(√n))
z = (194.3 - 200)/(21/√70)
z = -5.7/2.51
z = -2.27
From the z-score table attached, the p-value at z = -2.27 is p = 0.0116
The width of a rectangle is 7 feet and the diagonal legnth of the rectangle is 11 feet. Which measurement is closest to the length of this rectangle in feet?
Answer:
8.49 feet
Step-by-step explanation:
Characteristics of a rectangle
A rectangle is a quadrilateral It has two parallel sides the diagonals of a rectangle bisect each other and they are equal in lengthOne diagonal of a rectangle divides a rectangle into two right angled triangles. Thus, the length of the rectangle can be determined using the Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length = ?
b = width = 7
c = diagonal = 11
7² + a² = 11²
49² + a² = 121²
a² = 121 - 49
a² = 72
calculate the square root of 72
a = 8.49 feet
Answer:
8.49 feet
Step-by-step explanation:
What is the volume of a figure with that is 3 inches wide, 3 inches tall and 7 inches long?
Answer:
Step-by-step explanation:
volume=3×3×7=63 inch³
Rebecca's window store made a mosaic for the community center. The mosaic had a 7 × 7 array of different color square tiles. If each tile is 3 1/2 ft long, what is the area of the whole mosaic?
Answer:
600 1/4 ft²
Step-by-step explanation:
Window is a 7 * 7 square array
Length per tile = 3 1/2 ft long
Dimension of entire array :
3 1/2 * 7 by 3 1/2 * 7
7/2 * 7 by 7/2 * 7
49/2 by 49/2
Recall : Area of a square = a² ; where a = side length
Area of entire array :
49/2 * 49/2 = 2401 / 4 = 600 1/4 ft²
Gary is buying bananas at the grocery store. The bananas cost $0.89 per pound. What is the equation for the cost (y) of (x) pounds of bananas Gary buys?
a. y=0.89+x
b. y=0.89-x
c. y=0.89/x
d. y=(0.89)x
Answer:
d
Step-by-step explanation:
A four-sided sandbox has more than two right angles, two side lengths 3 ft, and two side lengths 6 ft.
What geometric shape best describes the shape of the sandbox? Use pencil and paper. Sketch the
sandbox.
Which geometric shape best describes the shape of the sandbox?
Answer:
I would say rectangle.
Step-by-step explanation:
_ _ _ more than two right angles
l l
l l
l l 6 ft
l l
l l
l l
--- --- ---
3 ft
Charles and Jaden share a reward of $63 in a ratio of 2:5. How much does Jaden
get?
Answer:
9
Step-by-step explanation:
2:5=7
therefore Jaden got 63÷7
=9
Determine whether a triangle with the given side lengths is a right triangle: 8 cm, 10 cm, 12 cm
When you draw the shape out you dont get a triangle
I’m confused on this question
Answer:
percent will be
65÷90×100which the answer will be
72.2%Step-by-step explanation:
hope it helps
i keep getting a 50% help me pls
Answer:
im pretty sure its b
Step-by-step explanation:
bc 5 would be equal to or less than x bc the dot is on 5
Answer: It's either B or D
Step-by-step explanation: You might be forgetting to show something but based on where the dot is placed its either b or d.
You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?
A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;
y = mx + c
y = 20x - 80
In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.
Read more on slope-intercept here: brainly.com/question/7889446
#SPJ1
Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!
Answer: Not a right-angled triangle
Step-by-step explanation:
Given
The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]
For a right-angle triangle, it must satisfy the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides
Here,
[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]
Therefore, it is not a right-angle triangle
please help i need help with all of these questions
Answer:
1: 1/2
2: 6
3: 2
4: -4
Step-by-step explanation:
I'm smart give me brainliest
If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
You need a loan for your new house that you want to buy. The amount you borrow is $550,000 and the annual interest rate is 2% for 30 years. How much interest do you need to pay?
Answer:
Step-by-step explanation:
Principle x Rate x Time
(550,000) (0.02) (360) = 3,960,000
Interest = 3,960,000
Pls help and thank you
Answer:
No Solution
Step-by-step explanation:
5(2x-3)
10x-15=10x-15
-10x -10x
15=15
-15 -15
0=0
Mrs. Alley is buying carpet for a rectangular room that measures 12 feet wide and 24 feet long. How many square feet of carpet will Mrs. Alley need?
What is the solution to this equation?
2 x + 10 = 28
Record your answer in the space provided. Be sure to use the correct place value.
Answer:
[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]