Answer:
$15.00
Step-by-step explanation:
25% of anything means a quarter of that thing. (ie.1/4 of $60 which is $15).
OR
(25/100)*$60
0.25*60=$15
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
Please help I've been trying to solve this for an hour (T-T)
What is the final amount if 1102 is increased by 2% followed by a further 1% increase? Give your answer rounded to 2 DP.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The final amount of 1102 with a 2% increase followed by a 1% increase is 1135.28.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
We have,
Amount = 1102
Percentage increase = 2%
Another percentage increase = 1%
Now,
The final amount.
= 101% of 102% of 1102
This can be written as,
= 101/100 x 102/100 x 1102
= (101 x 102 x 1102) / 10000
= 1135.28
Thus,
The final amount of 1102 with a 2% increase followed by a 1% increase is 1135.28.
Learn more about percentages here:
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I know its not that hard im just doing this for fun lol
Answers:
0.210.226.50.680.6240.230.10130.200.1916plus all rounded so i don't cuffuse anyone
See the Pic for my question.
Answer:
C. 7
Step-by-step explanation:
4 * Sum (i = 1 to 3) (1/2)^(i - 1) =
= 4 * [(1/2)^0 + (1/2)^1 + (1/2)^2]
= 4 * [1 + 1/2 + 1/4]
= 4 * [7/4]
= 7
Answer:
7
Step-by-step explanation:
because I'm smart like that
is 49 greater than or less than 7.1
Answer:
Greater
Step-by-step explanation:
just because
Answer:
greater
Step-by-step explanation:
49>7.1
Please help me with part A B and C can you write the answers and show me how you get it in a notebook please
You can see all answers in the picture
A circular spinner for a game has a radius of 5 cm. The probability of winning on one spin of this spinner is $\frac{2}{5}$. What is the area, in sq cm, of the WIN sector? Express your answer in terms of $\pi$.
The total area of a circle is pi * radius^2
The total area of the circle is pi x 5^2 = 25pi sq. cm.
2/5 of this is success, so the answer is 2/5 * 25pi = 10 pi sq. cm.
2. Which expression is equivalent to 1/4 n – 16?
Answer:
1/4n - 16 =
1/4(n - 64)
Step-by-step explanation:
Two expression are said to be equivalent, if after substituting the value of variable by any constant the numerical value of both original expression and equivalent expression are same.
Identify the following division expressionS that have a quotient of 25. (MORE THAN ONE ANSWER)
(A) 125/5
(B) (100/20) + (100/5)
(C) (100/5) + (25/5)
(B) 125/25
(MULTIPLE CHOICE BRAINLIST IF RIGHT)
Answer:
a and c are correct
Step-by-step explanation:
i hoped this helped
Find xy when x(-7,10) and y(3,4)
Answer:
Distance xy = 11.66 unit (Approx)
Step-by-step explanation:
Given:
x(-7,10)
y(3,4)
Find:
Distance xy
Computation:
Distance = √(x2-x1)²+(y2-y1)²
Distance xy = √(3+7)²+(4-10)²
Distance xy = √ 100 + 36
Distance xy = 11.66 unit (Approx)
Conceded goals: 0,1,2,3,4 Frequency:2,8,4,10,6 What is the mean number of goals conceded
Answer:
2.333
Step-by-step explanation:
Given that:
Conceded goals: 0,1,2,3,4
Frequency:2,8,4,10,6
Mean(m) = Σ(fx) / Σf
Σfx = (0*2) + (1*8) + (2*4) + (3*10) + (4*6) = 70
Σf = (2 + 8 + 4 + 10 + 6) = 30
Hence,
Mean = 70 / 30
Mean = 2.333
solve: 4y - 6 = 2y + 8
Answer:
y = 7
Step-by-step explanation:
Given
4y - 6 = 2y + 8 ( subtract 2y from both sides )
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
A young sumo wrestler goes on a special diet to gain weight.
The variable www models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for ttt months.
w=80+5.4tw=80+5.4tw, equals, 80, plus, 5, point, 4, t
How much weight does the wrestler gain every 222 months?
kilograms
Answer:
10.8 kg
Step-by-step explanation:
w = 80 + 5.4t
At time 0, when he starts the diet, his initial weight is
w = 80 + 5.4(0)
w = 80
80 kg.
After 2 months, t = 2. His weight is
w = 80 + 5.4t
w = 80 + 5.4(2)
w = 80 + 10.8
w = 90.8
90.8 kg.
His gain in 2 months was 90.8 kg - 80 kg = 10.8 kg
Answer: 10.8 kg
The wrestler gains 10.8 kg every 2 months.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation that models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for t months.
w = 80 + 5.4t
We need to find his weight after 2 months.
At time t = 0, when he starts the diet, the wrestler's initial weight would be,
⇒ w = 80 + 5.4(0)
⇒ w = 80 kg
After 2 months, t = 2 the wrestler's weight weight would be,
⇒ w = 80 + 5.4(2)
⇒ w = 80 + 10.8
⇒ w = 90.8 kg
We need to find the weight gain in 2 months.
90.8 - 80 = 10.8 kg
Therefore, the wrestler gains 10.8 kg every 2 months.
Learn more about an equation here:
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1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.
C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?
D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. Anna earns $20 for every 400 envelopes. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
Jason has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table of Anna and Jason we can see that Anna makes more stuffing than Jason for the same number of envelopes.
c) Anna has a savings of $100 initially. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100[/tex]
Therefore from the graph there is a y intercept at 100. That is the earnings starts initially is $100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value of y at x = 0)
For the first graph, the slope is 1/20 with an initial value of 0 while for the second graph the slope is 1/15 with an initial value of 100
D) The trend line pass through the points (10, 10) and (100, 40), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}[/tex]
Find X
Coordinates are: 3x, 3x+10, 2x+10
Answer:
D. 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
3x + 3x + 10 + 2x + 10 = 180
Step 2: Solve for x
Combine like terms: 8x + 20 = 180Isolate x term: 8x = 160Isolate x: x = 20252 = 42 x 6
Which statement does the equation represent? Answer options with 4 options
A. 42 is 6 more than 252.
B. 252 is 42 more than 6.
C. 42 is 6 times as many as 252.
D. 252 is 42 times as many as 6.
Answer:
C. 42 is 6 times as many as 252
Step-by-step explanation:
because 42×6 = 252
how many solutions does the nonlinear system of equations graphed below have
a. one
b. four
c. zero
d. two
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions
PLEASE ANSWER FAST WILL GIVE YOU BRAINLEST LOL
You are testing two scales for accuracy by weighing two different objects.
Use the drop-down menus to complete the statements about the scales' accuracy.
Answer:
This is because the object on the 1st scale weighs (more) than the object on second scale, each pound of error results in a (lesser) percent error. The first scale was (10) pounds off the second scale,was (3) pounds off, so 1st scale was (10)% off 2nd scale was (12)% off.
Answer:
Because the object on Scale 1 weighs more than the object on Scale 2, each pound of error results in a lesser percent error. Scale 1 was 10 pounds off and Scale 2 was 3 pounds off, so Scale 1 was 10% off and Scale 2 was 12% off.
Step-by-step explanation:
Got it right on TTM so yeah! :)
 Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
30
Step-by-step explanation:
I asked the my math tutor lol
Drag and drop an answer to each box to correctly complete the proof.
Given: m | n m 1 = 50 m 2 = 48°, and line s bisects ABC
Prove: m/3
49°
It is given that m | n m
1 = 50 m
2
- 48° and fine s bisects
ABC By the
m/DEF = 989 Because
angles formed by two parallel lines and a transversal are congruent
DEF
A BC
SO MZABC 98 By the
angles 4 and 5 are congruent
and m
4 is half m
ABC So the measure of in24_49 Because vertical angles
Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, [tex]m \angle 1 = 50^0[/tex] and [tex]m \angle 2 = 48^0[/tex], and [tex]\angle ABC[/tex] is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF [tex]= m \angle 1 + m \angle 2[/tex]
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
In ΔRST, r = 53 inches, ∠S=6° and ∠T=58°. Find the length of s, to the nearest inch.
Answer:
s = 6 inches
Step-by-step explanation:
Given:
r = 53 inches,
∠S = 6°
∠T = 58°.
Required:
Length of s
Solution:
Use Sine Rule
Thus:
[tex] \frac{s}{Sin(S)} = \frac{r}{Sin(R)} [/tex]
<R = 180 - (58 + 6)
<R = 116°
r = 53 inches,
∠S = 6°
s = ?
Plug in the values
[tex] \frac{s}{Sin(6)} = \frac{53}{Sin(116)} [/tex]
Multiply both sides by Sin(6)
[tex] \frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6) [/tex]
[tex] s = \frac{53 \times Sin(6)}{Sin(116)} [/tex]
[tex] s = 6 inches [/tex] (nearest inch)
solve this and explain it to me please
it's weird my brother And I am fighting for this my brother says it's p but I think it's P-Q
Answer: U - (P - P∩Q)
Where U represents the universal set.
Step-by-step explanation:
In the image, we can see that the shaded part is all the region minus the part of P that does not share elements with Q.
This part of P can be written as:
P - P∩Q
there we write:
"The elements of P, minus the elements that P share in common with Q"
Then to write the shaded area, we need to write the universal set, U, minus the thing we wrote above, this is:
U - (P - P∩Q)
PLEASE HELP!!!!!
A line intersects the points (-8, -1) and
(1, 8). What is the slope-intercept
equation for this line?
y= [?}x+ _
Answer:
m=1
c=7
I hope it will be useful.
Can the hypotenuse or a leg be a decimal? Why or why not?
Answer:
yes
because the of use the Pythagoras theorm
answer all questions please.
Choose the algebraic expression that describes: 13 less than y.
Miss Rojas has a container of Jolly Ranchers on her desk. The ratio of Red Jolly Ranchers to Green Jolly Ranchers is 3 to 7. If there are 42 green jolly ranchers in the container, what is the total amount of Jolly Ranchers in the container?
Answer:
The total amount of Jolly Ranchers in the container is 60 Jolly Ranchers
Step-by-step explanation:
We have a ratio of
Red Jolly Ranchers : Green Jolly Ranchers
3:7
Sum of the proportion = 3 + 7 = 10
Hence:
Let the total number of jolly ranchers = x
7/10 of x = 42 Green Jolly Ranchers
Hence:
7/10 × x = 42
7x /10 = 42
Cross Multiply
7x = 420
x = 420/7
x = 60 Jolly Ranchers
The total amount of Jolly Ranchers in the container is 60 Jolly Ranchers
GUYSSS HELPPP MEEE IM SUPPOSED TO SUBMIT IT IN 20 MINS AND I HAVE NO IDEA!!
PLEASE HELP
1. f(x) = x² + x + 4
f(x) = 0
0 = x² + x + 4
-4 = x² + x
2. linear equation
one solution
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
9 books each
Step-by-step explanation:
27/3=9....help!!
f(x) = x2. What is g(x)?
Answer:
g(x) = 1/2x² is the correction option.
Hence, option B is true.
Step-by-step explanation:
Please check the attached graph.
The blue line represents f(x) = x²The red line represents f(x) = 1/2x²It means when we multiply the parent function by a number 'b' which is less than 1, then the parent function f(x) = x² is vertically compressed by b.
Here, the graph is vertically compressed by 1/2, therefore we conclude that g(x) = 1/2x² is the result of vertical compression of the parent function by 1/2.
Therefore, g(x) = 1/2x² is the correction option.
Hence, option B is true.