Answer: They received $14.58
Step-by-step explanation:
Set up a proportional relationship
If 2 cents equal to 3 cans then we will represent how 2,187 will be worth by x.
[tex]\frac{0.02}{3} / \frac{x}{2187}[/tex] Cross multiply
3x = 43.74 Divide both sides by 3
x = 14.58
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
£ 537.63
Step-by-step explanation:
original price = 100%
selling price = 100% - 7% = 93% = £500
just do the proportion or ratio
[tex] \frac{100\%}{93\%} = \frac{original \: price}{500} [/tex]
OP = 500 x 100% / 93%
OP = £ 537.634
rounded to the nearest penny and become £ 537.63
Christian is training for a swimming competition He starts swimming 10 ft. from the shore to his boat The table below represents the distance from the shore. f(z), as a function of time after z minutes of swimming.
Answer:
f(x) = 20x + 10
Step-by-step explanation:
(0 , 10) ; (3 , 70)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{70-10}{3-0}\\\\= \frac{60}{3}\\\\= 20[/tex]
y- intercept = 10
f(x) = mx + c
= 20x + 10
A contractor building an airport needs to know how far a water tower is away from
end of the runway. Using her diagram below can you determine how far away the
water tower is?
Answer:
B.
Step-by-step explanation:
tan(82)= X/100
100•[tan(82)]= [X/100] •100 Multiply each side by 100 to get the X by itself on the right side
X= to 711.537
Is 5/4 a solution to the problem: 3(+9)=4−7+7.
Answer:
No the soultion is not equal to 1 1/4
The solution to the given question is either 6 3/4 or 4 /27
Step-by-step explanation:
Let
3(+9)=(4−7+7)x
27 = 4x
x= 27/4
x= 6 3/4 is the answer
or
Let
3(+9) x=(4−7+7)
27x = 4
x= 4/27
The plus sign inside the bracket indicates that 3 is multiplied with positive nine and -7 and +7 are cancelled and 4 is left behind.
If x is on the left side the answer will be 6 3/4 and if it is on the right side the answer is 4/27 .
In both cases the answer is not equal to 5/4 .
5/4 means 1 1/4 which is not equal to either 6 3/4 or 4/27
HELP ASAP
1.A term that is a known number without variables. is called?
Answer:
constants
Step-by-step explanation:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y-2x=-72
Answer:
y = 1 4 x − 9
Step-by-step explanation:
Write in slope-intercept form, y = m x + b .
Answer:
y = 1/4x - - 9
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
8y - 2x = -72
Step 2: Rewrite
Find slope-intercept form
Add 2x on both sides: 8y = 2x - 72Divide 8 on both sides: y = 1/4x - - 9Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest answer !!!!!!!!!!!!!!!!!
Answer:
x = 8√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Trigonometry
[Right Triangles Only]: Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 8
Leg b = 8
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 8² + 8² = x²Exponents: 64 + 64 = x²Add: 128 = x²Isolate x: 8√2 = xRewrite: x = 8√2Choose all of the equations for which x = 2 is a solution.
A. x + 3 = 5
B. +2 = 8
C. X+1=1
D. x - 2 = 4
EX - 7= -5
16 . Each child going to a science museum had to pay $9. One-third of this was for bus fare.
What was the admission fee for adults, if children get in for half price?
17. Brian's tyre is leaking at a rate of 10ml per minute. If it went unchecked for one and a
quarter of an hour, how much air would be lost?
18. Glasses were on sale at the rate of 4 for the price of 3. If they were $1 each, how much
would a dozen cost?
19. Everybody in a class plays soccer or Rugby. Half of the class plays soccer. Of those
that play soccer, half also play rugby. If 24 students play rugby, how many students are
in the class
20. Kylie's petrol tank was half full but she used one third of this petrol in travelling to Ryde
and back. What fraction of a tank remained after the trip?
Answer:
16. Adults = $12
17. 750 ml
18. $9
19. 96 students
20. 5/6x
Step-by-step explanation:
16.
A child pays = $9
Bus fee = 1/3 of $9
= 1/3× 9
= $3
Admission fee for a child= amount paid - bus fee
= $9 - $3
= $6
What was the admission fee for adults, if children get in for haprice
Children = 1/2 of adults
$6 = 1/2 × adults
Adults = 6÷ 1/2
= $12
Adults = $12
17.
Leaking rate = 10 ml per minutes
One and quarter of an hour
1 hour = 60 minutes
Quarter of an hour = 15 minutes
Total time = 75 minutes
Air lost in 75 minutes = 10 ml × 75
= 750 ml
18. 4 glasses for $3
1 dozen of glasses = 12
12 glasses = $x
4 = 3
12 = x
Cross product
4*x = 3*12
4x = 36
x = 36 / 4
= 9
x = $9
19.
Total students = x
1/2x = soccer
Rugby = 1/2 of 1/2x
= 1/2 * 1/2x
= 1/4x
24 = 1/4x
x = 24÷1/4
= 24 × 4/1
x = 96 students
20.
Total petrol = x
Petrol in the tank = 1/2x
Petrol used = 1/3 of 1/2x
= 1/3 × 1/2x
= 1/6x
Petrol remaining after the trip = x - 1/6x
= 6x-x/6
= 5/6x
Answer fast please, thank you.
Answer:
x<1
X<9
Step-by-step explanation:
algebra calculator.
Which statement is true about the slope of the graphed line?
Answer:
I cannot say without a picture, send one and I'll be glad to help.
what is the answer to -4-8×+2-15
Solve the equation.
16% of 40 =
Answer:
16% of 40= 6.4
Answer:
6.4 would be your answer...Step-by-step explanation:
have this same question -_-
A roller coaster at a theme park takes fans on an exciting ride. In the first 20 seconds, it carries passengers up a 30-meter hill, plunges them down 30-meters, and takes them back up a 15-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?
step-by-step answer extremely needed please:)!
Answer:15 meters higher
Step-by-step explanation: 30-30+15
15 meters higher from the start of the ride are they after these 20 seconds.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say they were initially at level x from ground
After the first 20 seconds.
Level = x + 30
Then plunges down
So,
Level = x + 30 - 30 = x level.
Now 15-meter rise
So,
Level = x + 15
Now level from initial = (x + 15) - x = 15 meter.
Hence "15 meters higher from the start of the ride are they after these 20 seconds".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ6
PLEASE HELP!!!
I dont understand how to work this problem out...
If possible, please explain how you got your answer. It would be very helpful!
Thanks!!
Answer:
its b
Step-by-step explanation:
I hope this helped
1/2 (p+3) = 7
Please help!
Answer:
p = 11
Step-by-step explanation:
[tex] \frac{1}{2} \times (p + 3) = 7[/tex]
[tex] = > p + 3 = 7 \div \frac{1}{2} [/tex]
[tex] = > p + 3 = 7 \times 2 = 14[/tex]
[tex] = > p = 14 - 3 = 11[/tex]
Fencing How much fencing is required to enclose a circular garden whose radius is 28 m? Use 3.14 for . About nothing m of fencing is required to enclose the circular garden. (Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
175.84 m
Step-by-step explanation:
Given that:
A circular garden which has a radius of 28 m.
[tex]\pi[/tex] = 3.14
To find:
The fencing required to enclose the circular garden ?
Solution:
Here, we are given a circle and its radius.
We are required to find the perimeter of the circle in order to find the fencing required to enclose the circular garden..
Formula for finding the perimeter of a circle is:
Perimeter = [tex]2\pi r[/tex]
where [tex]r[/tex] is the radius of the circle.
Using the given values in the formula:
Perimeter = [tex]2\times 3.14 \times 28[/tex] = 175.84 m
Therefore, 175.84 m of fencing is required.
If I had $2million to pay for 20 million meals, how much does each meal cost?
Answer:
$0.10
Step-by-step explanation:
Divide 2 million by 20 million:
2,000,000/20,000,000
= 0.1
So, each meal costs $0.10
i need help with this ?
Answer:
-2 ≤x ≤10
Step-by-step explanation:
the domain refers to the x
the x is in between -2 and 10
x = 0 O 5x + 7 = 37 Plz answer I need da answer
Answer:
5x + 7 = 37
x= 1.97435
Step-by-step explanation: Hope this help
Help please
How are the properties of exponents used to rewrite expressions?
Answer: The five exponent properties are
Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.
Power to a Power: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Quotient of Powers: When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.
Power of a Product: The Power of a Product rule is another way to simplify exponents. When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.
Power of a Quotient: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power
You can use these any way you want to rewrite an equation.
Hope this helped
Step-by-step explanation:
PLEASE HELP ME MWAH MWAH ;-;
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).
The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed?
ANSWER: (__,__)
Answer:
pov you're in 2016
Step-by-step explanation:
uwu is anybody here QWQ
A pizza shop sells pizzas that are 10 inches in diameter or larger.A 10 inch pizza costs 8$ each additional inch costs $1.50 and each addition topping costs 0.75
Linda is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Linda has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks. Equation: ? X Total amount of money after 11 weeks: $ ]
Answer:
680
Step-by-step explanation:
30 times11 then you get 330 then add to 350
a 300$ mountain bike is discounted by 30% and then discounted an additional 10% for shoppers who arrive before 5am. explain why taking off 30% and then 10% off is NOT the same as a 40% discount
what if you helped me
Answer:
Maximum value of z = 21
Minimum value of z = -9
Step-by-step explanation:
We have to maximize/minimize the given equation for the given constraints as,
x ≥ -1
y ≤ -2x + 3
y ≥ -1
By using the graphing tool,
Corner points for the feasible region are,
A(-1, 5), B(-1, -1) and C(2, -1)
For A(-1, 5),
z = 4x + 5y = 4(-1) + 5(5)
= -4 + 25
= 21
For B(-1, -1),
z = 4(-1) + 5(-1)
= -4 - 5
= -9
For C(2, -1),
z = 4(2) + 5(-1)
= 8 - 5
= 3
Maximum value of z = 21
Minimum value of z = -9
The value of 30 - (2 - 4) ÷ (-2) is _____.
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
can someone please wright me an equation for this and answer it. and also answer this.
find the 5th and 20th terms in the arithmetic sequence.
Answer:
3x-5=81
hope my answer is helpful to you
plz mark me as brainlist and also follow me
what number is lower -162 or 159
Answer:
-162
Step-by-step explanation:
Answer:
-162
Step-by-step explanation:
because -162 is negative
Gracie is sharing 75 marshminnows among 4 of her friends. If each of her friends gets
the same number of marshminnows, and she gives them as many marshminnows as
possible, how many are left for Gracie?
none
3
18
19
Given:
Gracie is sharing 75 marshminnows among 4 of her friends.
Each of her friends gets the same number of marshminnows, and she gives them as many marshminnows as possible.
To find:
The remaining number of marshminnows she has.
Solution:
We have,
Total number of marshminnows = 75
Number of friends = 4
Divide 75 by 4.
[tex]4|\overline{75}|{18}\\ -4\\\text{\quad }\overline {35} \\ -32\\\text{\quad }\overline {\ 3\qaud }[/tex]
Here, quotient is 18 and remainder is 3. It means, each friend can be get maximum 18 marshminnows and the number of remaining marshminnows is 3.
Therefore, the correct option is B.