Answer:
i) $2.60 is money he saves each week
ii( iii) $5.20 to spend on comics and sweets.
You need more info to determine how he spends his money thereafter.
Lets say x = sweets and y = comics.
and lets say he spends under 1/3 on sweets
2(1 1/5x + 1 1/2y) = xy
2 2/5x + 3y = xy
xy = 5 2/5
Step-by-step explanation:
i) 7.80 /3 = 2.60 = $2.60
ii) 7.80-2.6 = 5.20 = $5.20
iii) algebra example or refer to question for more info not shown.
Paul saves a portion of his pocket money which is £2.60 and spends the rest on comics and sweets.
(i) How much does he save?
Paul saves £2.60 each week, which is 1/3 of his pocket money.
(ii) How much is spent on comics?
Paul spends £2.60 on comics, as it is the remaining amount after saving.
(iii) How much does he spend on sweets?
Paul spends the rest of his pocket money, £2.60, on sweets.
True or False: If a pair of lines is not parallel, it must be perpendicular.
Answer:
False
Step-by-step explanation:
Parallel lines are lines that never intersect. If the line changes slightly, the lines will intersect. This doesn't mean that it's perpendicular
Perpendicular lines are lines that intersect in such a way that the lines form 90 degree angles.
The statement is false. Non-parallel lines are not necessarily perpendicular; they can intersect at any angle other than right angles.
The statement 'If a pair of lines is not parallel, it must be perpendicular' is False. Not all non-parallel lines are perpendicular. Perpendicular lines are a specific case of non-parallel lines where they meet at right angles (90 degrees). Non-parallel lines that are not perpendicular to each other may intersect at any other angle, which could be acute or obtuse but not 90 degrees.
Theorem 10 supports this by stating that 'If two lines cut a third at the same angle, that is, so that corresponding angles are equal, a line can be drawn that is perpendicular to both'. Theorem 14 also relates as it informs 'If a line is perpendicular to two intersecting lines at their intersection, it is perpendicular to all lines of their plane passing through this point'. However, non-parallel lines that do not satisfy these conditions are simply intersecting lines at some angle other than 90 degrees.
Which is equivalent to (3/125)*?
answer : a 1251/3x
Answer:
1/50
Step-by-step explanation:
What is 1/4y+3/4(y-8)
Answer: y-6
Step-by-step explanation:
1/4y+3/4(y-8)
1/4y+3/4y-6
1y-6
Just simplify the equation by distributing 3/4 to y and -8 then combine like terms
Convert this decimal into a percentage: 1.125
Answer:
112.5 percent
Step-by-step explanation:
Answer:
112.5%
Step-by-step explanation:
Look at answer
Amanda's employer deducts $350 from her paycheck each month for her family's health insurance plan. Jer gross monthly salary is $4,500. What percent of her gross pay goes towards health insurance?
Answer: about 7 %
Step-by-step explanation: you take 350 and divide it by 4500
Answer:
hope it helps
Step-by-step explanation:
Help with mathematics
Answer:
no
Step-by-step explanation:
because
Answer:
vertical line: x = 1
horizontal line = y = -2
Step-by-step explanation:
It's easy, really. A vertical line will always have x in the equation, and a horizontal line will always have y. Then, you find what it's equal to by looking at the point's x and y values and it corresponds to the answer.
What percent is equivalent to the fraction 4/5?
Answer:
80/100 or 80%
Step-by-step explanation:
Miguel will study for the quiz on which he is likely to do worse by guessing.
Which quiz should he study for?
A. History, because he must get more questions correct.
B. Science, because the probability of getting all questions correct is
0.016, which is lower than for history (0.031).
C. History, because the probability of getting all questions correct is
0.031, which is lower than for science (0.75).
D. Science, because the probability of getting all questions correct is
0.075, which is lower than for history (0.25).
Answer:
B: Science
Step-by-step explanation:
The reason B is correct is because 0.016 is lower than all the other possibility. A has no math to compare, but the others do, making it easier to determine the correct answer.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:c
Step-by-step explanation:
true or false if two triangles have three pairs of congruent sides, then the triangles are not guarnteed to be congruent
Answer:
False
Step-by-step explanation:
Because when you have pairs of congruent shapes, then you have a guaranteed to be congruent.
Answer:
it is true on quiz 7.1.2 exam sem 1
Step-by-step explanation:
Mrs. Smith has 4 pounds of cat food. Her son gave her 5 more pounds. She feeds her cats 3/4 of a pound per day. How many days will Mrs. Smith be able to feed her cats with the cat food she has now? Group of answer choices 27 days 15 days 12 days 9 days
Answer:
12 days
Step-by-step explanation:
So 4 + 5 is 9. Then you divide 9 by 0.75 since that is equivalent to 3/4 and get 12.
Determine the intercepts of the line
please help these are my last of points
The Correct answer would be B
I hope this was helpful :P
STAY SAFE!! :)
Which function is equivalent to f(x) = -4(x + 7)2 – 6?
A. f(x) = -4x2 – 56x - 202
B. f(x) = -4x2 + 14x + 43
C. f(x) = --4x2 - 56x - 172
D. f(x) = -4x2 + 190
Answer:
A
Step-by-step explanation:
Given
f(x) = - 4(x + 7)² - 6 ← expand factor using FOIL
= - 4(x² + 14x + 49) - 6 ← distribute parenthesis by - 4
= - 4x² - 56x - 196 - 6 ← collect like terms
= - 4x² - 56x - 202 → A
The equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]
Option A is correct.
Equivalent function :The given function is,
[tex]f(x)=-4(x+7)^{2}-6[/tex]
We have to expand above function.
[tex]f(x)=-4(x+7)^{2}-6\\\\f(x)=-4(x^{2} +14x+49)-6\\\\f(x)=-4x^{2} -56x-196-6\\\\f(x)=-4x^{2} -56x-202[/tex]
Thus, the equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]
Learn more about the quadratic function here:
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help me plz and thank you!!!!
Answer: A is the answer
Step-by-step explanation:
What is the slope of the line shown below?
Answer:
3, you can count the points, up 3 over one
Fido weighs 26 pounds more than Fifi. Fifi weighs 12 pounds less than Rover. If the sum of their weights is 71, how much does Fifi weigh?
By setting up a system of linear equations using the given relationships and solving for Fifi's weight, we find that Fifi weighs 11 pounds.
Explanation:The question involves solving a system of linear equations to find the weight of Fifi. We are given three pieces of information:
Fido weighs 26 pounds more than Fifi.Fifi weighs 12 pounds less than Rover.The sum of their weights is 71 pounds.Let's denote Fifi's weight as F, Rover's weight as R, and Fido's weight as D. Based on the information provided, we can write the following equations:
D = F + 26F = R - 12F + R + D = 71To find Fifi's weight, we need to substitute the first two equations into the third one:
Substitute D from equation (1) into equation (3): F + R + (F + 26) = 71Substitute R from equation (2) into the new equation: F + (F + 12) + (F + 26) = 71Combine like terms: 3F + 38 = 71Now, solve for F:
3F = 71 - 383F = 33F = 11Therefore, Fifi weighs 11 pounds.
I will give the first answer brainiest :)
Answer:
A=2
Step-by-step explanation:
in the figure, parabola cuts the graph at point (2,1)
point (2,1) is one of the solution of the given quadratic equation
Hence, we can find the value of a by putting the value of x and y, we get
1=a(2-3)^2-1
= 2=a
Which is why A is 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
a=[tex]\frac{y}{(x-3^)^{2} } + \frac{1}{(x-3)^{2} }[/tex]
Find the mean, median, mode and range of 13, 18, 13, 14, 13, 16, 14, 21, 13
Answer:
Mean -
15
Median -
14
Mode -
13
Range -
8
Hope this helps!
here is some info about the goals scored in a hockey game. (math problem)
a. The mode for away goals is the 2nd quarter.
b. The mean number of goals per game is 4.8.
c. There were 4 more home goals scored than away goals in total across 10 games, with a total of 26 home goals and 22 away goals.
a. To find the mode for away goals, we need to determine which quarter had the most frequent number of away goals. Let's count the away goals for each quarter:
1st quarter: 2 away goals
2nd quarter: 9 away goals
3rd quarter: 7 away goals
4th quarter: 4 away goals
The 2nd quarter has the highest number of away goals, so the mode for away goals is the 2nd quarter.
b. To find the mean number of goals per game, we'll sum the total number of goals and then divide by the number of games:
Total number of goals = (5 + 4 + 8 + 9) + (2 + 9 + 7 + 4) = 48 goals
Number of games = 10
Mean number of goals per game = Total number of goals / Number of games = 48 goals / 10 games = 4.8 goals per game.
c. To find how many more home goals were scored than away goals in total, we'll calculate the difference in the total number of home goals and away goals:
Total home goals = 5 + 4 + 8 + 9 = 26 goals
Total away goals = 2 + 9 + 7 + 4 = 22 goals
Difference = Total home goals - Total away goals = 26 goals - 22 goals = 4 goals
In total, 4 more home goals were scored than away goals.
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I need help with this ' ASAP!
Answer:
H. 120
Step-by-step explanation:
What is the volume of the triangular prism?
A) 57.75 m3
B) 115.5 m3
C) 231.0 m3
D) 462.0 m3
Answer:
B) [tex]115.5m^3[/tex]
Step-by-step explanation:
to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:
the measurements are:
[tex]base=7m[/tex]
[tex]height=3m[/tex]
[tex]length=11m[/tex]
the area of the triangle in one side is:
[tex]triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2[/tex]
and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:
[tex]volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3[/tex]
which is option B)
Answer:
115.5 [tex]m^{3}[/tex]
Step-by-step explanation:
V = 1/2a·c·h
V = 1/2(3)(7)(11) = 115.5
Mrs. Turner baked 120 cookies. She decided to give 1/6 of them to her students. How many did she take to her students?
Answer:
20
Step-by-step explanation:
120÷6=20
im not verry good at these can you help me please
Answer:
It is A
Step-by-step explanation:
A because, you multiply -2 on both sides on the side with the x it cancels out on the one with the 5 it turns into -10 so the answer would be A
The total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is given
by the function C(d) = 15d + 30, where the setup fee is $30 and the charge per
day is $15. The setup fee increases by $20. The new total cost T is given by the
function T(d) = C(d) + 20. Describe the transformation from the graph of C to
the graph of T.
hi i think its 2 because 15 times 2 is 30
The graph of a linear function C(d) will shift 20 units left side if the total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is function C(d) = 15d + 30.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is given by the function:
C(d) = 15d + 30
The charge per day is $15. The setup fee increases by $20.
The new total cost T is given by the function
T(d) = C(d) + 20
Plug C(d) = 15d + 30 in the above function:
T(d) = 15d + 30 + 20
T(d) = 15d + 50
The graph of a linear function C(d) will shift 20 units left side.
Thus, the graph of a linear function C(d) will shift 20 units left side if the total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is function C(d) = 15d + 30.
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sams swim shop also owns a small beachside stand. the beachside stand profit is about 25% of the amount of the swim shop profit. If the stand profited $2,000 in march,then how much did the swim shop profit ??
Answer:
8000
Step-by-step explanation:
25% of x = 2000
x=8000
In the diagram below, XY and YZ are tangent to O. What is the measure of XZ?
The measure of arc xz is 106 degrees.
What is Major and Minor Arc ?A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.
An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.
Given:
From diagram, m ∠xz = 254 degrees.
We know that whole circle = 360 degrees
So, measure of arc XZ = 360 - 254
= 106
Hence, the measure of arc xz is 106 degrees.
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for each number below, is it even or odd?
Answer:
2,4,6,8,10 is even, 1,3,5,7,9 is odd. 983 is odd, 347 is odd, 36 is even, 44 is even
Step-by-step explanation:
Find the perimeter of the square
With one side 2 1/2 yards
Answer:
12
Step-by-step explanation:
2.5*4=12
if each side of a square is the same length then yes my answer is correct
Final answer:
To find the perimeter of the square with a side length of [tex]2\frac{1}{2}[/tex] yards, the side length is converted to a decimal and multiplied by 4, resulting in a perimeter of 10 yards.
Explanation:
The student's question is about finding the perimeter of a square when given the length of one side, which is [tex]2\frac{1}{2}[/tex] yards.
Since a square has four equal sides, the perimeter (P) of a square is calculated by multiplying the length of one side (s) by 4, which can be expressed as P = 4s.
In this case, if we convert [tex]2\frac{1}{2}[/tex] yards to a decimal, we get 2.5 yards.
Therefore, the perimeter of the square is 4 × 2.5 yards, which equals 10 yards.
if (one) yard is equal to 3 (three) feet, convert 7 yards to feet
Answer:
21 feet
Step-by-step explanation:
7*3=21
I wish you luck :)
The graph shows point F located at (0, 6) and line d given by the equation y = 0.
Drag each coordinate pair into a box to show whether that point is equidistant or not equidistant from point F and line d, or if equal distance cannot be determined.
Answer:
equidistant from point F and line d: (0, 3); (6, 6) and (-6, 6)
not equidistant from point F and line d: (3, 0); (3, 5) and (-2, 2)
Step-by-step explanation:
Point (0, 3)
Distance from point (0, 6) = 3
Distance from line d = 3
Point (6, 6)
Distance from point (0, 6) = 6
Distance from line d = 6
Point (3, 0)
Distance from point (0, 6) = √[(3 - 0)² + (0 - 6)²] = √45
Distance from line d = 0
Point (3, 5)
Distance from point (0, 6) = √[(3 - 0)² + (5 - 6)²] = √10
Distance from line d = 5
Point (-2, 2)
Distance from point (0, 6) = √[(-2 - 0)² + (2 - 6)²] = √20
Distance from line d = 2
Point (-6, 6)
Distance from point (0, 6) = 6
Distance from line d = 6