Answer:
Ivan had 288 sweet while Ken had 672 sweets
Step-by-step explanation:
Let the number of sweets owned by Ken and Ivan be k and v respectively.
After Ken gave away 5/7 of his sweet, what he had left
= k - 5k/7
= 2k/7
he had 2/3 as many sweets as Ivan then
2k/7 = 2v/3
Divide both sides by 2 and cross multiply
7v = 3k
Ivan then gave away 120 sweets, Ivan would have
v - 120 = k/4
multiply both sides by 4
4v - 480 = k
7v = 3(4v - 480)
7v = 12v - 1440
12v - 7v = 1440
5v = 1440
v = 1440/5
= 288
7v = 3k
7 * 288 = 3k
k = 7 * 288/3
= 672
The graph shown here is the graph of which of the following rational
functions?
FN
O A. F(x)
O B. F(x)
O C. F(x) =
Help
Answer:
I think it's option B ...
Answer:
A.) F(x)=1/x-5
Step-by-step explanation:
1hr left on this test so confused
Which statement is true regarding the functions on the
graph?
Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)
f(-3)=g(-4) 123456789012345
Match the rates with their equivalent unit rates. Match the rates with their equivalent unit rates. arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight arrowRight
Answer:
[tex]\frac{47}{2} \to 6[/tex]
[tex]\frac{60}{12} \to 5[/tex]
[tex]\frac{40}{10} \to 4[/tex]
[tex]\frac{56}{8} \to 7[/tex]
[tex]\frac{64}{8} \to 8[/tex]
Step-by-step explanation:
Given
See attachment
Required
Complete the blanks
To do this, we simply carry out the division operation.
So, we have:
[tex]\frac{47}{2} \to 6[/tex]
[tex]\frac{60}{12} \to 5[/tex]
[tex]\frac{40}{10} \to 4[/tex]
[tex]\frac{56}{8} \to 7[/tex]
[tex]\frac{64}{8} \to 8[/tex]
The rates of the given equivalent unit rates are properly matched as follows:
42/7 = 6
60/12 = 5
40/10 = 4
56/8 = 7
64/8 = 8
How to find Unit RateTo find the unit rate, the numerator is divided by the denominator such that the denominator is reduced to 1.
Thus, let's find the unit rates that matches with the equivalent rates given (see attachment below).
Divide the numerators by the denominators such that the value of the denominators are reduced to 1.
42/7 = 660/12 = 540/10 = 456/8 = 764/8 = 8Learn more about unit rate on:
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. In Standard form 4 283.2 is written as A. 4.2832 x 10-3 B. 4.2832 X 10-1 C. 2832 x 10-2 D. 2832 x 103
increase 80 in the ratio 3:2 how
Answer:
Step-by-step explanation:
the second number be 2x. Therefore, the number 80 is divided in the ratio of 3:2 is, 48 and 32.
pleaseeee helpppp meee!!!!
Answer:
14 - .5d
Step-by-step explanation:
To determine the amount of gas in the tank, take the amount in the tank to start and subtract the amount used per day
14 - .5d
Answer: There are 14 gallons total, and you would be using 0.5 gallons a day, which is expressed by 14 - 0.5d. Example = 8 days, 14 - 0.5(8) = 10 gallons left
If anyone can help me out I would truly appreciate it
Please show me step by step
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
0.3y + y/z
y = 10
z = 5
Step 2: Evaluate
Substitute in variables: 0.3(10) + 10/5Multiply: 3 + 10/5Divide: 3 + 2Add: 5Help pls pls pls pls
Answer:
(C).
[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]
please answer this 2 question
Answer:
Step-by-step explanation:
[tex]2x^{99}+3x^{98}+2x^{97}+3x^{96}+.......+2x+3 = [2x^{99}+2x^{97}+...2x]+[3x^{98}+3x^{96}+......3]\\\\=2x*[x^{98}+x^{96}+...+1]+3[x^{98}+x{96}+....1]\\\\= [x^{98}+x^{96}+..+x^{2}.+1](2x+3)\\\\=( [x^{98}+x^{94}+...+x^{2}]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=(x^{2}*[x^{96}+x^{92}+.......+1]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=[x^{96}+x^{92}+.......+1](x^{2}+1)(2x+3)[/tex]
Use the grouping method to factor the polynomial below completely X3 - 3x2 + 5x - 15
A. (x2 - 5)(x+3)
B. (x2 - 3)(x + 5)
C. (x2 + 3)(x - 5)
D. (x2 + 5)(x - 3)
[tex]\longrightarrow{\green{D.\:(x²+5)(x-3)}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {x}^{3} - 3 {x}^{2} + 5x - 15[/tex]
Taking [tex]x²[/tex] as common from first two terms and 5 from last two terms, we have
[tex]➝ \: {x}^{2} \: (x - 3) + 5 \: (x - 3)[/tex]
Taking the factor [tex](x-3)[/tex] as common,
[tex]➝ \: ( {x}^{2} + 5)(x - 3)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?
Answer:
-4 is the larger integer
Step-by-step explanation:
n = smaller integer
n + 2 = larger integer
4(n+2) = n-10
4n + 8 = n - 10
3n + 8 = -10
3n = -18
n = -6
n+2 = -4
if 1,a,5 and 15 are in proportion ,find the value of a
Answer:
a=3
Step-by-step explanation:
Given :
1:a :: 5: 15
To find a
a=15×1/5
a=3
Therefore, value of a =3
The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years
Answer:
The half-life of the substance is of 1600 years.
Step-by-step explanation:
Amount of the substance:
The amount of the substance after t years is given by the following equation:
[tex]C(t) = A(0.999567)^t[/tex]
In which A is the initial amount.
Find the half-life:
This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So
[tex]C(t) = A(0.999567)^t[/tex]
[tex]0.5A = A(0.999567)^t[/tex]
[tex](0.999567)^t = 0.5[/tex]
[tex]\log{(0.999567)^t} = \log{0.5}[/tex]
[tex]t\log{0.999567} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]
[tex]t = 1600[/tex]
The half-life of the substance is of 1600 years.
find the value of each variable
Answer:
Step-by-step explanation:
Since the triangle is inscribed in a semicircle, then angle x is a right angle. That means that angle y is 180 - 90 - 31, which is 59.
Remove parentheses by applying the Distrubitive Property. 5x^2(7- x^2)
Answer:
35x^2-5x^4
Step-by-step explanation:
You have to multiply the numbers on the outside to the numbers on the inside.
For example, 5x^2 times 7 would be 35x^2.
20 points and Brainliest !
Find the equation of the line with y-intercept 6 and slope -5/6 . What is the equation of the line in slope-intercept form?
Answer:
y = -5/6x + 6
Step-by-step explanation:
Slope intercept form is: y = mx + b
- where m is the slope
- where b is the y-intercept.
The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:
y = -5/6x + 6
Answer:
[tex]y = - \frac{5x}{6} + 6[/tex]
Step-by-step explanation:
1: Formulate equations/expressions:
[tex]based \: on \: the \: given \: conditions \: formulate[/tex]
[tex]m = - \frac{5}{6} \\ b = 6[/tex]
2: Write the equation:
[tex]write \: the \: equation \: of \: linear \: function[/tex]
[tex]y = mx + b[/tex]
3: substitute:
[tex]y = mx + b \\ m = - \frac{5}{6} \: b = 6 \\ y = - \frac{5}{6} x + 6[/tex]
4: rewrite the equation:
[tex]y = - \frac{5}{6} x + 6 \\ slope - intercept \: form \\ fin \: the \: required \: form: \\ y = - \frac{5x}{6} + 6[/tex]
hey again, could you help me with this and explain? thank you
Answer:
option 2
in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line
Step-by-step explanation:
ACTUALLY ANSWER FULLY OR U WIL BE REPORTED Help pls I do need it
Answer:
125 people
Step-by-step explanation:
P( green) = number of green / total
= 25/120
=5/24
Multiply this probability by 600
5/24 * 600 =125
Answer:
out of 120 people 25 people has chosen green
out of 1 people green will be chosen by 25/120 people
out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people
What is the equation of the line that passes through the points (1, -3) and (3, 5)? Write the equation in standard form AND using function notation.
Answer:
y= 4x-7
Step-by-step explanation:
I could be wrong this is what I got so I apologize if this is incorrect
Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120
Does it have a solution?
Answer:
It does since lets say X and Y equal 10 it works
Step-by-step explanation:
Select the correct answer.
Which number line represents the number 0.7?
Answer:
C
Step-by-step explanation:
CCCCCCCCCCC
Given that ABCD is a rhombus, what is the value of X?
Answer:
3
Step-by-step explanation:
x=(5x-13)
so you work that equation out
take the 5x to the side of x and equate it to what you get
x=5x-13
5x+x=13+5
6x = 18 = x=3
6 6
x=3
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
y=48x−2
y=48x+2
y=2x−48
y=2x+48
Answer:
I think y=,48x+2 is correct
The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.
What are equations?Equations are relations between two equal expressions, usually used to find the values of unknown variables using the constants and the values of other variables (if any).
How do we solve the given question?In the question, we are informed that the profit earned by a hot dog stand is a linear function.
We are also informed that it costs the owner $48 each morning for the day's supply and that he earns $2 profit on each hot dog he sells.
We are asked to find the equation of profit y, for the number of hot dogs sold x.
The basic cost to the owner is $48. This will be his fixed cost, irrespective of the number of hot dogs he sells.
His profit on one hot dog is $2. So, his profit on x number of hot dogs sold will be $2x.
His total profit will be equal to the profits he earned by selling x hot dogs minus the basic cost he needs to pay.
∴ Profit earned = Profit on x hot dogs - Basic cost
or, y = 2x - 48.
∴ The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.
Learn more about equations at
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A sphere fits tightly in cylinder. The surface area of the sphere is 100π square inches. Find Volume of the cylinder.
Give answer in terms of π
Answer:
Volume of the cylinder = 250π inch²
Step-by-step explanation:
Surface area of the cylinder is given by,
Surface area = 4πr²
Here, r = radius of the sphere
Since, surface area = 100π square inches
100π = 4πr²
r² = 25
r = 5
From the picture attached,
Height of the cylinder = diameter of the sphere
= 2(r)
= 2(5)
= 10 inches
Volume of the cylinder is given by,
Volume = πr²h
Here, r = radius of the cylinder
h = height of the cylinder
Therefore, Volume of the cylinder = π(5)²(10)
= 250π square inches
is this an expression or an equation? 4a + 3b-6cx9
Answer:
Expression
Step-by-step explanation:
Given expression :
4a+3b-6cx9
So this is expression not equation because equation consist zero on the righ side
Example: ax+b=0 (This is equation )
And
ax+b (This is expression)
if sin a=4 by 5,determine cos a
Answer:
3/5
Step-by-step explanation:
[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]
Adjacent side² = hypotenuse² - opposite side²
= 5² - 4²
= 25 - 16
= 9
Adjacent side = √9 = 3
Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]
Sin = 4/5 = Perpendicular/hypotenuse
CosA = Base/hypotenuse
Base = √hyp. ^- prep.^
Base= 3/5
May it helps yousolve the equation 4x-2 = 8
Answer:
x = 5/2
Step-by-step explanation:
4x-2 = 8
Add 2 to each side
4x-2+2 = 8+2
4x = 10
Divide by 4
4x/4 =10/4
x = 5/2
Answer:
x = 2.5
Step-by-step explanation:
4x - 2 = 8
4x = 8+2
4x = 10
x = 10/4
x = 2.5
Solve for x: -2x - 5 = 4
Answer i think it is 4
Evaluate the Function Evaluate x : − 2 x − 5 , then set it equal to 4 . = 4
Step-by-step explanation:
Answer:
x = - 9/2
Step-by-step explanation:
-2x - 5 = 4
-2x - 5 + 5 = 4 + 5 [add 5 both sides ]
- 2x = 9 [ -5 + 5 = 0]
[tex]\frac{-2x}{-2} = \frac{9}{-2}\\\\x = \frac{9}{2}[/tex] [ divide both sides by - 2 ]
