Answer:
22
Step-by-step explanation:
The x-coordinates are the same, so we can find the positive difference between the y-coordinates, which is 22.
the answer is D) 22.
four liters of water are mixed with 6 juiced lemons to make lemonade. how many liters of water should be mixed with 10 juicer lemons to obtain the same result? (pls kinda show work)
F.) 4 2/3
G.) 5 1/3
H.) 6 1/3
J.) 6 2/3
K.) 8 1/3
Using mathematical operations, (D) 6⅔ of water should be mixed with 10 lemon juice.
What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical expression. Using the acronym PEMDAS, we can remember this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).So, liters of water when mixed with 10 lemon juice:
The expression will be: 4/6 = x/10Solve, the expression as follows:
4/6 = x/106x = 10 × 46x = 40x = 40/6x = 6⅔
Therefore, using mathematical operations, (D) 6⅔ of water should be mixed with 10 lemon juice.
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The correct question is given below;
Four liters of water are mixed with 6 juiced lemons to make lemonade. how many liters of water should be mixed with 10 juicer lemons to obtain the same result? (pls kinda show work)
A) 4 2/3
B) 5 1/3
C) 6 1/3
D) 6 2/3
E) 8 1/3
PLEASE HELP SOON! :)
f(x) = 4x + 6 and g(x) = 1/2 . f(x)
what is the function rule for function g?
g(x) = x +
Answer:
[tex]g(x)=2x+3[/tex]
Step-by-step explanation:
[tex]g(x)=\frac{1}{2}(4x+6)=2x+3[/tex]
I’m not sure how to do this y = 2x-3
-2x+y = 6
The table of values shows the output values of three different equations for the same input values, x. Drag the correct expression to each row to complete each equation.
The expression to represent the equation is given by y = x + 3 .
An algebraic expression is one that was created in mathematics utilizing integer variables, constant, and algebraic procedures (accumulation, deletion, multiplication, separation, and exponentiation by a rational exponent).
However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like the same and e are not algebraic.The production of is commonly stated as a geometric expression, although the definition of e requires an endless amount of algebraic operations.An expression can be reduced to a rational fraction by using the characteristics of arithmetic operations ( commutative properties and associative properties of addition and multiplication, distributive property and rules for the various operations on the given fractions).The required expressions are :
y₁ = x + 3
y₂ = 3x²
y₃ = 3ˣ
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2
If x and y vary directly and y=32 when x=18, then which of the following equations correctly represents
the algebraic relationship between x and y?
(c) x + y = 50
16
(a) y=x
(b) y=x+14
(d) y=-x/16
Answer:
b, c
Step-by-step explanation:
a) 32=18 - not true
b) 32=18+14 - true
c) 18+32=50 - true
d) 32=-18/16 - not true
If x and y vary directly, than the relationship between y and x will be →
y = (16/9)x
What is direct proportionality?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
Given is x and y vary directly and y = 32 when x = 18.
Since x and y vary directly, this means that -
y/x = K [constant]
Now, we have -
x = 18
y = 32
Substituting values -
32/18 = K
K = 32/18 = 16/9
y/x = 16/9
y = (16/9)x
Therefore, if x and y vary directly, than the relationship between y and x will be → y = (16/9)x
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(-4s–3)+(6s–1) what is the sum
Answer:
=2s−4
Step-by-step explanation:
−4s−3+6s−1
=−4s+−3+6s+−1
Combine Like Terms:
=−4s+−3+6s+−1
=(−4s+6s)+(−3+−1)
=2s+−4
Answer:
=2s−4
Determine the solution to p/4=12.2
!!! Trigonometry emergency !!!
Answer:
2.4
Step-by-step explanation:
tan(theta) is defined as: [tex]tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
in the given diagram we only have the opposite and hypotenuse, but we can use the Pythagorean Theorem to solve for the other two missing sides.
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse.
Plugging in known values we get the following:
[tex]a^2+12^2=13^2[/tex]
in this case the missing side, or the adjacent side is simply "a"
from here we simplify the bases with exponents
[tex]a^2+144=169[/tex]
now subtract 144 from both sides
[tex]a^2=25[/tex]
take the square root of both sides
[tex]a=5[/tex]
So now we know the adjacent side so we can plug it into the tan equation
[tex]tan(z)=\frac{12}{5}\\\\tan(z)=2.4[/tex]
Which value of x is the solution of the equation 2(x - 4) + 7 = 3?
so the answer is x=2
Answer:
x=2
Step-by-step explanation:
2(x-4)+7=3
First, multiply the 2 to x-4.
2x-8+7=3
Simplify.
2x-1=3
Add x on both sides.
2x=4
Divide 2 on both sides.
x=2
i dont even know what to put
Answer:
first one (2*2*2*3*3)
Step-by-step explanation:
2*2*2*3*3=72
2
The stem-and-leaf diagram shows the
heights of the students in a class.
Heights of students
18 1
17 0 4 4
16
0 1
3
15
3778
14 9
13 4
6
7 8
6 7 8
Key 13 | 4 means 134 cm
a) Find three different averages and three
different measures of spread.
b) Which average and which measure of
spread would you use to represent this
dataset? Give reasons.
I need help for Finding the distance between points G and W. please!!!
What is 12b-9=??? if b=24?
Answer: The answer is 279
Step-by-step explanation:
12 x 24=288
288-9=279
12(24)-9=279
lloyd's cereal company packages cereal in 1 pound boxes (16 ounces). a sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. if the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased?
The probability that the amount dispensed per box will have to be increased is 0.0062.
Consider the provided information.
Sample of 16 boxes is selected at random.
If the mean for 1 hour is 1 pound and the standard deviation is 0.1
1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces
Thus: μ = 16 ounces and σ = 1.6 ounces.
Compute the test probability
z= x−μ/σ/[tex]\sqrt{n}[/tex]
z= 15-16/ 1.6/4
z= -1/ 0.4
z= -2.5
By using the table.
Probability p value = P(Z<-2.50) = 0.0062
Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.
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Solve the quadratic equation by completing the square.x²-12x+30=0
In order to solve this quadratic equation by completing the square, let's analyse the coefficient b by comparing the equation with the standard form:
[tex]y=ax^2+bx+c[/tex]We have b = -12. In order to be a perfect square, the coefficient c needs to be (-12/2)^2 = (-6)^2 = 36
We already have 30, so we just need to add 6:
[tex]\begin{gathered} x^2-12x+30=0 \\ x^2-12x+30+6-6=0 \\ x^2-12x+36-6=0 \\ (x-6)^2-6=0 \\ (x-6)^2=6 \\ x-6=\pm\sqrt[]{6} \\ x_1=6+\sqrt[]{6} \\ x_2=6-\sqrt[]{6} \end{gathered}[/tex]You are 5 1/3 feet tall. you must be at least 5 1/2- feet tall to ride a roller coaster. write and solve an equation to represent how much taller you must be to ride the roller coaster
The equation h>= 11/2 feet represents the required height of an individual to ride the roller coaster.
Your height = 5 1/3 feet tall
Required height in feet to ride a roller coaster = at least 5 1/2 feet
When the numerator exceeds or is equal to the denominator, the fraction is said to be improper. 5/2 and 8/5, for instance, are improper fractions.
Let h represent the height
h>= 5 1/2
Converting into an improper fraction
h>= 11/2 feet
Your height in improper fraction = 16/3 feet
Comparing the required height and your height we find that
Required height>Your height
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Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game season?
Morgan will score 150.7 points in 11 season
How to calculate the number of points that Morgan will score ?The first step is to calculate the number of point that Morgan will score in one season
41= 3
x= 1
cross multiply both sides
3x= 41
x= 41/3
x= 13.7
The number of points he will score in 11 game season can be calculated as follows
= 13.7 × 11
= 150.7
Hence Morgan will score 150.7 points in 11 game season
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Please help I’m desperate fr, I hate math too
Option C is the next step to construct a congruent angle.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Given Data
R makes the same angle with PQ and QR.
Option C is the next step to construct a congruent angle.
Steps to construct congruent triangle:
1) Each of the three sides is equal (SSS: side, side, side)
2) A comparable side and two angles are the same (ASA: angle, side, angle)
3) Both the angle between the two sides and the two sides' dimensions are equal (SAS: side, angle, side)
4) The hypotenuse, the corresponding side, and a right angle are all equal (RHS, right angle, hypotenuse, side).
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I have an isosceles triangle. the height drawn on the base is 2.5 cm and the height drawn on the side is 3 cm. help calculate the base angle of a triangle
Answer:
56.4 degrees
Step-by-step explanation:
You can make a right-angle triangle from the isosceles triangle, with height 2.5cm and hypotenuse 3cm.
You have the opposite side to the angle and the hypotenuse, so you use sin x = Opposite/Hypotenuse
sin x = 2.5/3
x = [tex]sin^{-1}[/tex] (2.5/3)
x = 56.44269024
Therefore the base angle of the triangle is 56.4 degrees (3sf)
Eggs are sold in cartons containing one dozen eggs. If a farmers’s hens laid 660 eggs, how many cartons of eggs could the farmer sell?
Answer:
the farmer can sell 55 cartons
Step-by-step explanation:
1 carton = 12 eggs
660 decided by 12 = 55
Zachary purchased a computer for $1,700 on a payment plan. Seven months after he purchased the computer, his balance was $790. Eight months after he purchased the computer, his balance was
$660. What is an equation that models the balance y after x months?
The equation that models the balance y after x months is;
y = 1,700 - 130x
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
Zachary purchased a computer for $1,700 on a payment plan.
Seven months after he purchased the computer, his balance was $790.
Eight months after he purchased the computer, his balance was $660.
Now, Let months is represented by x and models the balance is represented by y.
So, We get;
For 0 months, balance is $1,700.
For 7 months, Balance is $790
For 8 months, balance is $660.
So, Slope = (1,700 - 790) / 7
= 910/7
= 130
And, Slope = (1,700 - 660) / 8
= 1,040/8
= 130
So, The equation with slope 130 and starting balance $1,700 will be;
y = 1,700 - 130x
Thus, The equation that models the balance y after x months is;
y = 1,700 - 130x
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need help pls
#i love brainly
Answer:
x=10
Step-by-step explanation:
48=6x-12
60=6x
x=10
A box is to be made using a 6ft by 8ft piece of cardboard by cutting a square from each corner and folding up the sides. What is the maximum volume that can be obtained? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:The walker family uses 45 pounds of crisped rice cereal per year. 1.55 pounds they save by buying the 18-oz. box for $3.50 rather than the 12-oz. box for $2.75 by using unitary method.
What is called pound?
A pound is a unit of weight used mainly in Britain, America, and other countries where English is spoken. One pound is equal to around 0.454 kilograms. A pound of something is a quantity of it that weighs one pound.
For this, we get the unit price per ounce of each.
3.50/ 18 = 0.1944 unit
2.75 / 12 = 0.229 unit
The walker family uses 45 pounds of crisped rice cereal per year 45 ×0.1944=8.74845 ×0.229= 10.305.
Thus ,they save 10.305 - 8.75 = 1.55
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Isaac's kitchen has an area of 54 square feet. The kitchen is 9 times as many square feet as Isaac's pantry. If the pantry is 2 feet wide, what is the length of the pantry?
Answer:
3 Feet
Step-by-step explanation:
Issac's Kitchen Area - 54 sqft
Issac's Pantry Area - 54/9 = 6 sqft (His pantry is 9x smaller than his kitchen)
[tex]area = length * width[/tex]
Here we have the total area and the width, so we can substitute for finding the length:
[tex]6 = length * 2\\ \\ = > \frac{6}{2} = length\\ \\ = > length = 3[/tex]
Hence is pantry is 3 feet long.
A line has a slope of – 3 and includes the points (5, – 6) and (s, – 3). What is the value of s?
Answer:
4
Step-by-step explanation:
[tex]\frac{(-6) - (-3)}{s - 5} = -3\\-3(s-5)=-3\\s-5=-1\\\\s=4[/tex]
The direct distances in kilometres between six different towns are given in the table below. A dash indicates that there is no direct route available and the journey must be made via other towns.
(a) What is the total distance for the shortest possible route from Anglemouth to Doncatry? [1] WORK NEEDS TO BE INCLUDED :)
The shortest total distance for the route from Anglemouth to Doncatry is 15 units.
How to identify the shortest distance from Anglemounth to Doncatry?On the table, we can see that there is a dash in the section of:
"Anglemouth to Doncatry"
So there is not a direct route, so we need to try another way.
If we go from Anglemouth to Covenham, we have a distance of 10 units.
If now we go from Covenham to Doncatry, we have a distance of 5 units.
Adding these two distances we get:
Total distance = 10 + 5 = 15 units.
This is also the shortest total distance between the two towns.
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You recently opened your checking account with Eagles Bank on October 1 using
$150.00.
Complete the checkbook register using the following transactions then explain how you
completed the first four transactions
October 1-Opened the checking account with $150.00
October 2- Purchased groceries from Aldi for $53.82 plus 6% tax. (Check 42)
October 2-Paid $15.00 for flowers using your debit card.
October 4- Deposited paycheck from work. ($14.50/ hr for 30 hours)
October 6-Bought 3 shirts for $8 each with a 5% off coupon and 6% sales tax from Target. (Check 43)
October 7- Bought a scooter for $50.00, helmet for $12.95, and sneakers for $79.99 from Scoot-2-Go.
There was 6% sales tax. (Check 44)
October 11-Deposited paycheck from work minus the $100.00 you kept in cash ($14.50/hr for 35 hours)
October 12- Ate lunch at Burger King for $11.65 plus 6% tax. Used your debit card to pay for it.
Be sure to include the steps you followed to complete your computations
The balance as of October 12th
The process for entering the transaction in the registry.
It should be no mystery that amounts deposited get added to bank balance, and amounts withdrawn by any means get subtracted. Regarding the balance in the bank, a debit card withdrawal is equivalent to a cheque withdrawal.
How to complete the first four checkbook register?Regarding the balance in the bank, a debit card withdrawal is equivalent to a cheque withdrawal. The debit card withdrawal differs from a check in the check register in that there is no check number (and frequently no transaction number) connected to it.
initial transaction
$100 is deposited to open the account. The starting balance is that sum.
two-way transaction
You must calculate the tax on the purchases for this issue. Normally, the store would take care of that for you, and you would write a check to cover the debt. The sum owed in this case is...
Rounding up from $43.82 to 45.5728 is 45.57.
Instead of calculating the tax individually and then adding it to the original amount, it is more convenient to use a multiplier to determine the amount with tax. You should be aware that the purchase price multiplied by 100% plus 4% equals 104%, or 1.04 times the price.
As a withdrawal, this $45.57 is deducted from the prior transaction's $100 total, resulting in a new balance of $54.43.
third action
This is a straightforward withdrawal, therefore $46.43 is obtained by deducting the sum from the prior balance.
As previously said, there is no transaction number connected to this. It can occasionally be helpful to keep track of which debit card is being used if you have several debit cards that are taking money out of the account. The final four digits of the card number are used to identify transactions on my bank statement.
Fourth action
You must calculate the payroll deposit amount for this problem. That would typically be handled for you by your employer, along with any deductions for taxes, insurance, union dues, or employee purchases. The sum deposited in this case is...
Hourly rate times 40 equals $9.75, which equals $390.
The previous value is increased by this deposit, making the new balance $436.43.
In most cases, the coupon is applied to transactions including coupons before the tax is calculated. The fact that the purchase amounts are combined should be obvious. (You can calculate the total when there are numerous items at the same price using repeated addition or multiplication; most people find multiplication to be simpler.)
The purchase from the bike shop is arguably the most difficult. The total of the values in brackets is...
$180.00 + 14.95 + 8.95 = 203.90
Then, the 15% discount is applied.
Rounding up to 30.59 from 0.15 x $203.90 = 30.585
Taking this out of the previous amount* yields (before taxes)...
$203.90 -30.59 = $173.31
The amount subject to tax can then be calculated using the same multiplier described above:
Round to $180.24 using the formula: amount with tax = $173.31 x 1.04 = $180.24
* Talk about the 15% discount
As with additional tax, you can calculate the discount using a multiplier:
100% - 15% = 85% . . . 0.85 times as much
The result of applying this multiplier to the number 203.90 is 173.315, which is typically rounded up to 173.32. But this figure results from a discount that is rounded to the nearest half cent (30.585). The discounted amount, 173.315, is rounded down to 173.31 if the discount is rounded up. The intricacy of applying a multiplier to discounts is there.
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A bathtub is draining at a constant rate. After 3 minutes of draining, it contained 36 gallons of water, and after 7 minutes, it contained 20 gallons. If t is the number of minutes since the bathtub started draining, and g is the number of gallons of water left in the bathtub, what is the equation of the linear function that models this situation?
The linear equation that models the water left in the bathtub is g = 32 - 4t.
What is the linear equation?The first step is to determine the rate of drainage of the bathtub. The rate of drainage is the ratio of the change in water to the change in time.
Rate of drainage = change in water levels in the bathtub / change in time
(20 - 36) / (7 - 3)
-16 / 4 = -4
The second step is to determine the amount of water in the bathtub before it started draining
Initial amount of water in the bathtub = 20 + (4 x 3) = 32 gallons
The form of the linear equation that can be used to determine the amount of water left in the tank is:
Water in the bathtub = initial amount of water - (rate of drainage x number of minutes)
g = 32 - 4t
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I dont know what im doing Please Help
Answer:
I think your answer is correct
Step-by-step explanation:
You did that right. You moved the point from zero to negative one, then you raised it to negative two. Good job.
Hamid has gained weight. He now weighs 88 kg, which is 10% higher than his normal weight. What is Hamid's normal weight?
Answer:
Hamid's original weight was 80 kgs