Answer:
vanilla=$5 and fruit juice=$3
Step-by-step explanation:
let $x and $y denote the cost of vanilla thickshake and fruit juice respectively.
Now,
$x=$y+2$ (Given)-----(i)
3×$x + 5×$y =30
3×($y+$2)+5×$y=30 (From equation i )
3×$y +$6 + 5×$y = 30
8×$y + $6 = $30
8×$y= $24
.: $y =$3
Then,
From i
$x =$y+$2
=$3+$2
#$5
Help on this please.
Answer:
(25 -5√7)/3 ≈ 3.924 inches
Step-by-step explanation:
After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...
x × (20 -2x) × (30 -2x)
The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.
__
You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.
V(x) = 4x^3 -100x^2 +600x
The derivative is ...
V'(x) = 12x^2 -200x +600 = 0
Dividing by 12, we have ...
x^2 -50/3x +50 = 0
Completing the square, we get the form ...
(x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9
Taking the square root gives ...
x -25/3 = ±(5√7)/3
The solution in the desired range is ...
x = (25 -5√7)/3 ≈ 3.924 . . . inches
_____
Additional comment
We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.
__
The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...
x = ((a +b) -√((a -b)² +ab))/6
if +800 represent RM800 being credit into saving account then RM800 being debited into a saving account is represent as?
Assuming +800 represent RM800, then RM800 being debited into a saving account is represent as:-$800.
What is saving account?A saving account is an account that enables you to save you money while you earn interest on the amount save.
The amount +$800 being credited means that money is being deposited into the saving account while on the other hand -$800 being debited represent a reduction in the amount deposited into the saving account.
Inconclusion RM800 being debited into a saving account is represent as:-$800.
Learn more about saving account here:https://brainly.com/question/3877103
whats the area of square with base b=5cm
Answer:
Solution
A=a2=52=25cm²
Step-by-step explanation:
[tex]\qquad \huge \underline{\boxed{\sf ǟռֆաɛʀ }}[/tex]
Area of a square is :
[tex] \qquad \sf \dashrightarrow \: side {}^{2} [/tex]
that is ~
[tex]\qquad \sf \dashrightarrow \: {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {25}^{} \: cm {}^{2} [/tex]
I need help with #12 MULTIPLE CHOICE
Answer:
[tex]\huge\boxed{B)\ m=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-1, 3) and (3, 5).
Substitute:
[tex]m=\dfrac{5-3}{3-(-1)}=\dfrac{2}{3+1}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]
answer for moneyyy. :) :)
Answer:
30
Step-by-step explanation:
The equation for this is a²+b²=c². We just need to plug 12(a) and 5(b). 12²+5²=169
the square root is 13. so the equation is 13+12+5=30
3v + 11 = 50 what’s the answer ?
Answer:
v=13
Step-by-step explanation:
3(13) = 39+11 = 50
Answer:
Our main goal is to isolate the variable here (v).
And if we want to solve this equation,
we must utilize inverse operations.
Given that:-
3v + 11 = 50
We always first get rid of the constants.
And in this case, 11 is our constant.
So the inverse operation of addition is subtraction (because 11 is being added)
-11 -11
3v = 39
Now, we are left with a co-efficient.
To isolate v, we must apply the inverse operation of multiplication which is division (because 3 and 'v' are being multiplied).
/3 /3
V = 13
How do you find the quotient of positive and negative decimals.
Answer:
Ok, so we know that you can't simply divide a decimal as it is (if you're using long division)
For example, let's take the quotient of 2.2 and -22
22÷ -2.2
so to get it into a whole number, multiply each value by 10 to get rid of decimal point
220 ÷ -22
when you divide, you are left with negative ten. Remember when you divide a negative and a positive number together, the result will always be negative
hope you understand now ;-)
Which graph represents the inequality, StartFraction (x minus 2) squared Over 25 EndFraction minus StartFraction (y minus 1) squared Over 9 EndFraction less-than 1?.
Inequalities help us to compare two unequal expressions, while a graph is a visual representation of points, lines, line segments, curves, or regions.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
What is a graph?A graph is a visual (such as a sequence of one or more points, lines, line segments, curves, or regions) that depicts the fluctuation of one or more variables in contrast to another.
The graph of the inequality can be written in the following manner as shown below.
Learn more about Inequality:
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Answer:
c
Step-by-step explanation:
got it right on edge
Consider the expressions (5.9 x 106) and (3.2 x 104)
Part A. Find the difference of the expressions (this means to subtract them!)
Part B. Find the product of the expressions (this means to multiply them!)
Answer:
I think u should check the question ones again
Step-by-step explanation:
but still this is ypur ans
hope it help
mark as brainliest
Question 15
Create an expression equivalent to 4(2x−1)+3(1/2x+5) that does not use parentheses.
Step-by-step explanation:
8x - 4 + 1.5x + 15
8x + 1.5x = 9.5x
-4 + 15 = 11
9.5x + 11
Expression = 9.5x + 11
Without Simplifying = 19/2x + 11
Answer:
9.5x + 11
Step-by-step explanation:
First, distribute the 4 to (2x - 1) to get 8x - 4. Distribute 3 to (1/2x + 5) to get 3/2x + 15. Put them back together to get 8x - 4 + 3/2x + 15. Combine like terms to get 9.5x + 11.
Marko is thinking of a number. The cube of the number is -27.
Write an equation that models the riddle using x for the number.
Answer:
x = [tex]\sqrt[3]{-27}[/tex]
x = -3
Step-by-step explanation:
The way to find the cube of a number is to cube root the number. Square roots find the roots of square numbers, cube roots find the roots of cubed numbers.
[tex]\sqrt[3]{x}[/tex]Which of the following best represents the average rate at which a person can quickly walk?
O a
3 steps per hour
Ob
3 steps per second
Ос
30 steps per minute
Od
30 steps per second
THIS IS THE LAST QUESTION I NEED TO PASS
If two triangles are similar, that means their side lengths are proportional, so we get the equation
[tex]\frac{AB}{AC} =\frac{FG}{FH} \\\frac{x}{17} =\frac{16}{20} \\20x = 16 * 17\\x=13.6[/tex]
Thus x = 13.6.
Hope that helped!
Can you please help me!! I will give you brainly!
Answer:
Skewed
Step-by-step explanation:
a Show that the sum of any three
consecutive even integers is a multiple of 6.
b) Hence, or otherwise, work out what the
values of three consecutive even integers
must be if their sum is 6000.
Answer:
Below.
Step-by-step explanation:
a) Let the numbers be n, n + 2 and n + 4
Sum = n + n + 2 + n + 4
= 3n + 6.
As n must be even (2, 4, 6 and so on) , 3n must be divisible by 6 and 3n + 6 is divisible by 6 also.
b) 3n + 6 = 6000
3n = 5994
n = 5994/3 = 1998
So the numbers are 1998, 2000 and 2002.
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone. (i) What is the probability that exactly five of them did not see a doctor? (4 marks) (ii) What is the probability that fewer than four of them did not see a doctor? (5 marks) (iii) What is the expected number of people who would not see a doctor? (5 marks)
Answer:
(i) 0.15708
(ii) 0.432488
(iii) 3
Step-by-step explanation:
Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.
There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.
As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.
Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.
So, p=1-0.99=0.01
According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)[/tex]
(i) The total number of persons randomly selected, n=400.
The probability that exactly 5 of them did not see a doctor
So, r=5 , p=0.01
Using equation (i),
[tex]P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}[/tex]
[tex]=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}[/tex]
=0.15708
(ii) The probability that fewer than four of them did not see a doctor
[tex]=P(r<4)[/tex]
[tex]=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]
[tex]=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}[/tex]
[tex]=0.017951+0.072527+0.146154+0.195856[/tex]
[tex]=0.432488[/tex]
(iii) The expected number of people who would not see a doctor
[tex]=np[/tex]
[tex]=300\times 0.01[/tex]
=3
PLEASE HELP I NEED THIS ASAP.
Answer:
Smart me thinks it is 22
Step-by-step explanation:
Explain how #3 and #4 are similar
Answer:
Because they have an # in it
A movie theater sells popcorn in bags of different sizes. the table shows the volume of popcorn and the price of the bag. now write an equation relating the volume of popcorn,x, in ounces to the price, y in dollars
please hurry if you are gonna answer this answer it correct dont attach a virus please
Answer:Function modelling - It is based on the variables like Quadratic expression, rational numbers as the setting of function depends the function modelling performs .Thus the option to the above ques is 16$
Step-by-step explanation: hope this helps!!! :)
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-24,15), endpoint (- 15,13) The other endpoint is (Type an ordered pair.)
Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) is
[tex](x_{M},y_{M}) = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴ [tex]x_{1}[/tex] = -15 and [tex]x_{2}[/tex] = x
∴ [tex]y_{1}[/tex] = 13 and [tex]y_{2}[/tex] = y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴ [tex]x_{M}[/tex] = -24 and [tex]y_{M}[/tex] = 15
→ Use the rule of the mid-point to find x and y
∵ [tex]-24=\frac{-15+x}{2}[/tex]
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ [tex]15=\frac{13+y}{2}[/tex]
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Evaluate 15/k when k = 3
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
15/k
15/3
5
3(2x−7)+ 1/3 (7x+2)
I NEED HELP!!!
Answer:
Today: Friday, 30 October 2020
Hour: 14.49 WIB (in Indonesia)
________________________
3 (2x - 7) + 1/3 (7x + 2)
= 6x - 21 + 7x/3 + 2/3
= 6x + 7x/3 + 2/3 - 21
= 25x - 61/3
PLS HELP ILL GIVE BRAINLIEST NEED ASAP !Which point lies on the graph of f(x)=3^x−5?
Question 1 options:
(3, 22)
(10, 25)
(0, -2)
(8, 19)
question 2 Which scenario can be represented by an exponential model?
Question 2 options:
Jack adds $3 to his piggy bank every week.
The height of a ball is tracked after it is thrown into the air.
The medication in an adult male reduces by half per hour.
Maggie earns $17.25 per hour.
The point (3,22) lies on the graph of f(x) = 3ˣ - 5. The medication in an adult male reduces by half per hour can represent an exponential function.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Given the function:
f(x) = 3ˣ - 5
At point (3, 22):
f(3) = 3³ - 5 = 22
The point (3,22) lies on the graph of f(x) = 3ˣ - 5.
The medication in an adult male reduces by half per hour can represent an exponential function.
Both tables represent an exponential function.
Find out more on exponential function at: https://brainly.com/question/12940982
what is ⅓ of nine times a half of 10
Answer:
15
Step-by-step explanation:1 third of 9 is 3. Half of 10 is 5. Multiply 5 by 3. It is now 15.
Answer:
15
Step-by-step explanation:
Work backwards:
half of 10 = 10 ÷ 2 = 5
so ... nine times half of 10 = 9 × 5 = 45
so ... ⅓ of nine times half of ten = ⅓ of 45 = 45 ÷ 3 = 15
Pls help
Picture in down here
Answer:
1/7 is less than 7/12
Step-by-step explanation:
please mark me as brainlest
Can some Please help me with this please please :(((( (The Image is In The Question)
When Hana goes to the mall, she always buys the same lunch and also buys some
books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
SELECT GROUP OF ANSWER CHOICES
A. The y-intercept approximates the average cost of one book.
B. The y-intercept approximates the cost of Hana's lunch.
C. The slope approximates the cost of Hana's lunch.
D. The trend line goes through the origin.
E. The slope approximates the average cost of one book.
Answer:
Lets see...The y-intercept approximates the average cost of one book. And The trend line goes through the origin.
Step-by-step explanation:
Identify the solutions to (2x-5)(x+12)=0.
Answer:
x = 5/2, -12
Step-by-step explanation:
(2x-5)(x+12) = 0
2x-5 = 0
2x = 5
x = 5/2
x + 12 = 0
x = -12
Answer:
x = 5/2 x = -12
Step-by-step explanation:
(2x-5)(x+12)=0.
Using the zero product property
2x-5 =0 x+12=0
2x=5 x = -12
x = 5/2 x = -12
If it takes 11.75 gallons of gas to refuel the car tim rented, how much extra should he expect to pay because he forgot to get gas? a. $26.44 b. $31.44 c. $52.88 d. $57.88
The extra amount that Tim is expected to pay is approximately given by: Option D: $57.88
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, the question is missing the fact that the size of the tank is 11.75 gallon and a gallon of gas costs $4.50.
So, the total cost of 11.75 gallon of gas is:
Cost of 11.75 gallon gas = 11.75 * 4.50 = 52.875 (in dollars)
Also from the question, the cost of refueling a vehicle is $5.00.
So, the total cost for refueling the car of Tim is:
Total cost = cost of gas + cost of refueling the car
Total cost = 52.875 + 5.00
Total cost = $57.875 ≈ $57.88
Thus, the extra amount that Tim is expected to pay is approximately given by: Option D; $57.88
Learn more about forming equations here:
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Which function is graphed below? On a coordinate plane, a curve goes has a maximum point at 1 and a minimum point at negative 1. It crosses the y-axis at (0, 1) and increases through the y-axis. f(x) = cos(x) f(x) = –cos(x) f(x) = sin(x) f(x) = –sin(x)
Answer:
A. f(x) = cos(x)Step-by-step explanation:
This is option A because the cos(x) has a y-intercept of (0, 1) only.
See attached to compare with other options.
Answer: A
Step-by-step explanation:
Edge 2025
evaluate (5.4 x 105) - (1.4 X 10)
Answer:
553
Step-by-step explanation:
567 - 14 = 553