Answer:
30
i hope it helps
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answer:
Part A - 17 full weeks
Part B - 8 hours and 30 minutes
Step-by-step explanation:
Key skills needed: Rate of change, Equation Creating & Solving
PART A
1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00
Since he saves the rest, the amount of money he saves each week is
---> $6.00 - $2.00 = $6 - $2 = $4
2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"
Since the game costs $68 we can make the equation
--> [tex]4w = 68[/tex]
4 is the money he saves each week.
w is the number of weeks he saves
68 is the cost of the game
3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]
(68 divided by 4 is equal to 17)
Therefore 17 full weeks is your answer.
Part B
1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.
30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)
2) So if we say the number of hours is "[tex]h[/tex]", the equation we can make is
---> [tex]8h = 68[/tex]
8 is the money he makes per hour
h is the number of hours he mows the lawns
68 is the cost of the game he wants to buy for his friend
3) Divide both sides by 8 and you will get
--> [tex]h = 8.5[/tex]
(68 divided by 8 is 8.5 (8 and a half))
This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.
8.5 hours is the same as 8 hours and 30 minutes, which is the answer.
Hope you understand and have a nice day!! :D
The price of a stock decreased $2 each day for seven consecutive days what was the total change in value of the stock over the seven days
Answer:
The stock lost $14 in 7 days
Step-by-step explanation: I know how to multiply.
The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
It is given that:
The price of a stock by decreased $2 each day for seven consecutive days
The price of a stock decreased by $2 per day for seven consecutive days.
Each day the cost is decreased by $2
Therefore, in 7 days the total reduction in cost is: 7×2= $ 14
So, the total change in the value of the stock is: -$ 14.
The total change in the value of the stock over the seven-day period is:
It decreased by $ 14
Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
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Which of the following is a solution to the system of two equations y = 3x – 7 and 4x – 5y = -20?
Answer:
x = 5, and y = 8
Step-by-step explanation:
You can solve this system by solving either of the equations for either x or y, and substituting that into the other.
Since the first equation is already defined for y, let's substitute that into the second equation:
4x - 5y = -20
4x - 5(3x - 7) = -20
4x - 15x + 35 = -20
4x - 15x = -20 - 35
-11x = -55
x = 5
We can then plug that into either of the original equations to find y:
y = 3x - 7
y = 3 * 5 - 7
y = 15 - 7
y = 8
We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:
4x - 5y = -20
4x - 5 * 8 = -20
4x - 40 = -20
4x = 20
x = 5
So we know the answer is correct. x is equal to five, and y is equal to eight.
Explain why the expressions 8x(6-4) and 8x6-4 dont not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answer:
Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything
need help asap please
Answer:
[tex]\displaystyle 31[/tex]
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]
I am joyous to assist you at any time.
I will give brainiest to whoever answers correctly !!
Answer:
-6.08 or 6.08
Step-by-step explanation:
A dripping faucet leaks 40 gallons of water per day.
How many gallons does the faucet leak in 2 days.
Answer:
80 gallons and a leaking problem.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
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At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?
Answer:
12
Step-by-step explanation:
2-cones
3-ice cream flavors
2-sprinkles
2 x 3 x 2 = 12
plz mark brainliest :)
Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}
Answer:
Please check the explanation.
Step-by-step explanation:
Given the set B
B={ 0,1,4,9,16,25}Analysis of the elements in the set B
[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]We can check that each element in set B is a square of a whole number.
Therefore, we conclude that:
B = { square numbers less than 30 }.
or
B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }
Please help with my exit ticket
9514 1404 393
Answer:
A. 2,144.66 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
The radius is half the diameter, so this can be written in terms of diameter as ...
V = (4/3)π(d/2)² = (π/6)d³
For a diameter of 16 inches, the volume is ...
V = (π/6)(16 in)³ ≈ 2,144.66 in³
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
The third one Edg
Step-by-step explanation: Brainlest plzzz
Solve 3[-x + (2 x + 1)] = x - 1.
x = 2
Answer:
x = -2
Step-by-step explanation:
[tex]3[- x + (2x + 1)] = x - 1[/tex]
[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]
[tex] = > 3[x + 1] = x - 1[/tex]
[tex] = > 3x + 3 = x - 1[/tex]
[tex] = > 3x - x = - 1 - 3[/tex]
[tex] = > 2x = - 4[/tex]
[tex] = > x = \frac{ - 4}{2} = - 2[/tex]
Please answer correctly i will give brainliest
Answer: It is C
Step-by-step explanation:
Good luck on your test or homework
thats the problem the words say. Write an expression in simplest form that represents the perimeter of the polygon
Answer:
(29x + 9)
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)
= (9 + 29x)
Expression (29x + 9) will represent the perimeter of the polygon.
PLEASE HELP IM GETTING TIMED 8. The graph shows the relationship between the depth of a diver and the time that has passed .
Which function best represents the relationship shown in the graph ?
A. y = 10x - 15
B. y = 2x - 15
С. y = - 10x - 15
D.y=-15x-10
Answer:
C
Step-by-step explanation:
Glad I could help!
Answer:
c
Step-by-step explanation:
rise/run
-20/2=-10 for the slope
A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
15.69 feet
18.01 feet
27.89 feet
36.72 feet
Answer:
hope this helps, brainlist? (OwO)
Step-by-step explanation:
I think the answer is 27.89 feet, C
The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Lenght of the ladder = 32 foot
The angle formed between the ladder and the ground = 29.37°
The ladder, wall of the building, and the ground are making a right-angle triangle.
Let's suppose the base of the ladder is x feet far from the building.
Applying the Cos ratio to find the value of x:
[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]
x = 27.887 feet or (Cos29.37° = 0.871)
x = 27.89 feet
Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
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Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation
Answer: A
Step-by-step explanation:
Answer:
A. Reflection, rotation, translation
Step-by-step explanation:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend
Answer:
FGCG
Step-by-step explanation:
Answer: 72 dollars
Step-by-step explanation:
each=1
1 record cost 9$
8 record costs (9)(8)$
I did multiplication here
(9)(8)=72 $
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
I need help with this
Answer:
1/4
Step-by-step explanation:
As 4 units move to the right, 1 unit goes up. Using the formula for slope:
Rise / Run
The gradient of the blue line is 1/4 or 0.25
maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght
Answer:
Would it not be 20?
Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.
Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.
Side PQ = 8 m
Therefore, side ST = PQ = 8 m
Find the smallest non-zero whole number n such that 756n is a perfect cube.
Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.
Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.
Which equation shows the relationship in the table between the time, t, and the depth, d?
Answer:d
Step-by-step explanation:
What is the equation that represents this pattern
Thanks
Answer:
something like f(t)=t+3
Step-by-step explanation:
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Guy is self employed. In one year, Guy generates a gross income of $44,500. When calculating his taxes, Guy is allowed to deduct $2,500 in expenses from his gross income (the result is his 'operating income'). Guy must then pay 10% tax on all operating income up to $20,000 and then 20% on any operating income over $20,000. Calculate the amount of tax that Guy must pay. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Answer:
20000÷20= the amount you need for the income price is 16000
Answer:
Step-by-step explanation:
Operating Income=$44,500−$2,500=$42,000.
So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence
Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.
Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.
Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.
Answer:
5 boxes of cookies and 5 tubs of popcorn = $75
Step-by-step explanation:
To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.
The solution is
The cost of box of cookies x = $ 5
The cost of tub of popcorn y = $ 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of cookies be = x
Let the cost of popcorn be = y
And ,
On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn
Substituting the values in the equation , we get
4x + 2y = 40 be equation (1)
And ,
On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn
Substituting the values in the equation , we get
x + 3y = 35 be equation (2)
On simplifying both equations , we get
Multiply equation (2) by 4 , we get
4x + 12y = 140 be equation (3)
Subtracting equation (1) from equation (3) , we get
10y = 140 - 40
10y = 100
Divide by 10 on both sides of the equation , we get
y = $ 10
So , the cost of tub of popcorn is $ 10
Substituting the value of y in equation (2) , we get
x + 3y = 35
x + 30 = 35
Subtracting 30 on both sides of the equation , we get
x = $ 5
So , the cost of box of cookies is $ 5
Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10
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1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S
Answer:
The answer is point Q
Step-by-step explanation: