Answer:
x = 3
Step-by-step explanation:
Equation: 4x = 3(1 + x)
Distribute the 3: 4x = 3 + 3x
Subtract 3x from both sides: x = 3
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
For more such question on brand. visit :
https://brainly.com/question/29129317
#SPJ8
Which quadrant is the point (−6, 4) located in? I II IV I don't know.
Answer:
Step-by-step explanation:
Answer: II
Step-by-step explanation:
How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
Find the magnitude and direction of the vector using the given information. V=<6,7>
Answer:
The magnitude of the vector is 9.165 and it's direction is 40.6°
Step-by-step explanation:
Vector Quantities:A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.
Magnitude of vector v is given by
|v| = √6²+7²
= √36+49
= √84
= 9.165
Direction of vector v is obtained by:
\( \tan( \theta) = \frac{x}{y} \)
\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)
\(\theta = {40.6°}\)
Learn more about vector quantities from: https://brainly.in/question/3437975
#SPJ1
5. Gavin has 156 coins. Of the coins, 9/12 are nickels, 2/12 are dimes, and the rest are quarters. What is the ratio of
Gavin's nickels to dimes to quarters?
We know that out of 12 coins, 1 is a quarter, 2 are dimes, and 9 are nickels, then the ratio is:
9:2:1
What is the ratio of Gavin's nickels to dimes to quarters?We know that Gavin has some number of coins, such that 9/12 of these coins are nickels, 2/12 are dimes, and the rest are quarters.
Then the fraction that represents the number of quarters is x such that:
x + 9/12 + 2/12 = 1
x = 1 - 9/12 - 2/12 = 1/12
The ratio of Gavin's nickels to dimes to quarters is given by comparing the numerators on these fractions, we know that out of 12 coins, 1 is a quarter, 2 are dimes, and 9 are nickels, then the ratio is:
9:2:1
Learn more about ratios:
https://brainly.com/question/2328454
#SPJ1
What Is 77 + 11y = 99?
Answer:
y =2
Step-by-step explanation:
\(77 + 11y = 99\)
Collect like terms and simplify
\(11y = 99 - 77 \\ 11y = 22\)
Divide both sides of the equation by 11
\( \frac{11y}{11} = \frac{22}{11} \)
Simplify
\(y = 2\)
Answer:
y= 2
Step-by-step explanation:
77+11y= 99
move 77 towards right side it will be:
11y=99-77
11y=22
move 11 towards right side
y = 22/11
y = 2.
Write an equation in point-slope form ( y-y₁=m(x-x₁) ) using the points (4,7) and (5, 1)
Answer:
Y-7 = -6 (x-4)
Step-by-step explanation:
Pls answer question with explanation I will give u branliest if u help (find area of the triangle)
Answer:
1. 90
4. 468
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
pls help me
Translate the sentence into an inequality. The difference of twice a number and 4 is less than 20. Use the variable y for the unknown number.
Answer:
The answer would be 5 as 20÷4 will be 5?
Answer:
2y - 4 < 20
Step-by-step explanation:
Twice a number: 2y
Difference of 4: - 4
Less than 20: < 20
Therefore: 2y - 4 < 20
A car Costs $30,000 in 2015. What would its price have been in 2020 dollars?
Show all work
The price of the car in 2020 dollars would be $31,620.
What is price?Price is the monetary value of a good or service that a customer is willing to pay for it. It is the result of a complex interaction between the forces of supply and demand, and is determined by the market conditions of a good or service. Price is also an important factor for companies as it is one of the primary elements used to generate revenue and profits.
In order to calculate the price of the car in 2020 dollars, we must use the Consumer Price Index (CPI). The CPI is a measure of inflation over time and is used to calculate the value of a product in the current year from its value in the past.
The CPI for 2020 is 250.6, while the CPI for 2015 is 237.9. This gives us a ratio of 250.6/237.9 = 1.054.
We can then use this ratio to calculate the value of the car in 2020 dollars:
30,000 x 1.054 = 31,620.
Therefore, the car would cost $31,620 in 2020 dollars.
To learn more about price
https://brainly.com/question/26959824
#SPJ1
F(x)= 3x^3-6x^2+4x-8
Rational root theorem: factors of 8, ±1, ±2, ±4, ±8. Root is -2. Other roots are complex.
The rational root theorem states that any rational roots of a polynomial must be a factor of the constant term divided by a factor of the leading coefficient. This means that in this case, any rational roots must be a factor of 8 divided by a factor of 3, or ±1, ±2, ±4, ±8.
To solve for the rational roots, we begin by dividing 8 by each factor to get the possible rational roots. We find that -2 is one of the possible rational roots, so we can conclude that -2 is a root of the polynomial.
To find the other roots, we can use synthetic division with -2 as the divisor. We find that the remainder is 0, so -2 is the only rational root. We can then use the quadratic formula to find the other two roots, which are complex.
Learn more about factors here
https://brainly.com/question/29128446
#SPJ1
A plece of fabric is 2 yards long. The fabric is cut into 24 pleces of equal length.
How long is each plece?
Answer:
3 inches
Step-by-step explanation:
2 yards = 6 feet
6 feet = 72 inches
72/24 = 3
Each piece is 3 inches
The length of each piece is 3 inches.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A piece of fabric is 2 yards long.
The fabric is cut into 24 pieces of equal length.
As, 2 yards = 6 feet
and, 6 feet = 72 inches
So, the length of piece is
= 72/24
= 3 inches
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ7
(3,4) m=0
Formula
Y-y=m(x-x1)
Answer:
\(y1 = 4 \\ x1 = 3\)
\(y - y1 = m(x - x1)\)
\(y - 4 = 0(x - 3)\)
\(y - 4 = 0\)
\(y = 4\)
N divided by 4 equals?
Answer:
n/4
or 0.25 newtons
Step-by-step explanation:
Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.
•
Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?
Answer: Andre should buy Car 2. Brainliest?
Step-by-step explanation:
To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.
For Car 1: y = 25x
This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).
For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:
For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).
For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).
For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).
For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).
For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).
Therefore, Car 2 has a consistent gas mileage of 30 mpg.
From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.
Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.
Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
Complete the expression so that it is equivalent to 2 (x+6)
The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.
What is an expression?
A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Given expression is
2 (x+6)
Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.
The mathematical representation is a(b+c) = ab + ac.
Apply the Distributive property in the given expression:
(2×x) + (2×6)
To learn more about expression, click on the below link:
https://brainly.com/question/26523496
#SPJ1
inasmuch as 76543 is greater than 43765 help pleace
Answer:
32778
Step-by-step explanation:
76543-43765=32778
if i run a 5.31 second in 40 meter what would i run in a 40 yard dash
Answer:
im not sure , sorry... i wish i could have helped
whats the square root of 9
Answer: 3
Step-by-step explanation:
one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.
Answer:
It would take x = 72 minutes to drain the pool.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
\(y = mx+b\)
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water poolAs the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
y-intercept = b = 36As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
Thus, the rate of change or slope = m = -1/2Thus, using the equation
\(y = mx+b\)
substituting m = -1/2 and b = 36
\(y\:=\:-\frac{1}{2}x+36\)
We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation
\(0=-\frac{1}{2}x+36\)
switching sides
\(-\frac{1}{2}x+36=0\)
subtract 36 from both sides
\(-\frac{1}{2}x+36-36=0-36\)
\(-\frac{1}{2}x=-36\)
Multiplying both sides by -2
\(\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)\)
\(x=72\)
Therefore, it would take x = 72 minutes to drain the pool.
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
To know more about the line:
https://brainly.com/question/2696693
#SPJ1
The image of the remaining question is attached below.
Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
To learn more about : sequence
https://brainly.com/question/7882626
#SPJ8
Magdalene creates the scale drawing shown of a rectangular field.
7.2 cm
Scale
1 cm = 4.5m
3 cm
What is the area, in square meters (m²), of the actual field?
The scale of the drawing is 1 cm = 4.5 m. This means that each centimeter in the drawing represents 4.5 meters in the actual field. The length of the field in the drawing is 7.2 cm, so the actual length of the field is 7.2 cm × 4.5 m/cm = 32.4 m. The width of the field in the drawing is 3 cm, so the actual width of the field is 3 cm × 4.5 m/cm = 13.5 m. The area of a rectangle is found by multiplying its length by its width, so the area of the actual field is 32.4 m × 13.5 m = 437.4 m²
Note :- I'm sorry to bother you but can you please mark me BRAINLEIST if this ans is helpfull
ВС: Round your answer to the nearest hundredth. B 2 7
opposite to angle 65 = BC
adjacent to angle 65 = 7
\(\tan \text{ }\theta\text{ = }\frac{\text{opposite }}{\text{adjacent}}\)\(\tan \text{ 65 =}\frac{BC}{7}\)\(\begin{gathered} BC\text{ = 7 x tan 65} \\ =\text{ 7 x 2.1445} \\ BC\text{ = 15.0115} \\ BC\text{ }\approx\text{ 15.01 (nearest hundreth)} \end{gathered}\)Gwen buys 3 identical pairs of shoes at store A. She pays $110.25 after the discount. What is the regular price of each pair?
The regular price of each shoe pair is $36.75
How to find the regular price?To find the regular price of each pair of shoes before the discount, we need to use algebra. Let x be the regular price of each pair of shoes. We know that:
3x = regular price of 3 pairs of shoes
We also know that Gwen paid $110.25 after the discount, so we can set up the following equation:
3x - discount = 110.25
We don't know the discount, so we can't solve for x yet.
But we can use the fact that Gwen bought 3 pairs of identical shoes to find the discount.
discount = regular price of 3 pairs of shoes - price paid after discount
= 3x - 110.25
Now we can substitute this expression for the discount into the first equation:
3x - (3x - 110.25) = 110.25
Simplifying this equation gives:
110.25 = 110.25
So x = regular price of each pair of shoes = $110.25/3 =
$36.75
Read more about discount here:
https://brainly.com/question/15407093
#SPJ1
What is the value of the expression when a = 2 and b = 3 ? 4a + b - 2 Question 1 options: 7 9 12
Answer:
9
Step-by-step explanation:
4 * 2 + 3 - 2 =
= 8 + 1 =
= 9
HELP ASAP
Plzzzzzzz
Answer:
106°
Step-by-step explanation:
180-74=106°
Answer:
106
Step-by-step explanation:
supplementary means 2 angles = 180
so..
180-74=106
7. Susan has $21, and she has three times as much money as Diego. Write an equation for this
situation, and find how much money Diego has.
Answer:
Diego has 7
Step-by-step explanation:
So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7
Answer:
Ok if Susan has $21 and She has 3 times as much money as Diego.
That means the equation is 21 divide by 3.
So that means Diego has $7.
Step-by-step explanation: