Answer:
Hence the daughter's present age is 15 years
The fathers present age is 35 years
Step-by-step explanation:
Let the present age of daughter be x
Let the present age of father be y
5 years ago;
Daughter's age = x - 5
Fathers age = y - 5
If the present age of father is thrice as old as the age of daughter 5 years ago, then;
y - 5 = 3(x-5)
y - 5 = 3x-15
y = 3x - 10 .... 1
In 5 years time;
Daughters age = x + 5
Fathers age = y + 5
If the age of father will be twice the age of his daughter in 5 years time then;
y+5 = 2(x+5)
y+5 = 2x + 10
y = 2x + 5 .....2
Equate 1 and 2;
3x - 10 = 2x + 5
3x - 2x = 5 + 10
x = 15
Since y = 2x + 5
y = 2(15) + 5
y = 35
Hence the daughter's present age is 15 years
The fathers present age is 35 years
Mrs Browns bill for servicing her car is £96 plus VAT. VAT is charged at 17.5%. What is her total bill?
_______________________________
T = V × P ÷ 100 + P= 17.5% × £96 ÷ 100 + £96= £112.8Mrs. Brown's Total Bill Is £112.8_______________________________
The total bill for servicing her car will be £112.8
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Mrs. Browns bill for servicing her car is £96 plus VAT.
And, VAT is charged at 17.5%.
Now,
Since, VAT is charged at 17.5%.
So, The VAT charge = 17.5% of £96
= 17.5 / 100 x £96
= £16.8
Hence, The total bill for servicing her car = £96 + £16.8
= £112.8
Thus, The total bill for servicing her car will be £112.8
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What is the ratio 15 girls to 6 boys in simplest form?
15:6
6 boys to 15 girls
5 boys to 2 girls
5 girls to 2 boys
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
RS = 11
Step-by-step explanation:
well from the mid-point theorem we have that
[tex]\triangle PRS \sim \triangle PNQ[/tex]
by a ratio of
[tex]1:2[/tex]
so
[tex]\frac{RS}{NQ}=\frac{1}{2}\\\\2[\frac{RS}{NQ}]=2[\frac{1}{2}]\\\\\frac{2RS}{NQ}=1\\\\NQ[\frac{2RS}{NQ}]=NQ[1]\\\\2RS=NQ[/tex]
and now we plug in
[tex]RS = 5x-39\\\\NQ = 4x-18[/tex]
[tex]2[5x-39]=4x-18\\\\10x-78=4x-18\\\\10x-4x=-18+78\\\\6x=60\\\\x=10[/tex]
so the length of RS is
[tex]RS = 5x-39\\\\RS = 5(10)-39\\\\RS=50-39\\\\RS=11[/tex]
Joshua has $400 in his account and withdraws $25 each month.
How much will be left in his account after 6 months? Would this be a discrete or continuous graph
Answer:
since he have 400 in his account
then for 6 months= 25×6=150
400-150= 250.
i think it will be a discrete graph
Pls help I'm confused on what to do. View the picture to see my question, thank you!
Find the slope of the line through each pair of points. (10.-12).(10,7)
Answer:
7-(-12)/10-10
19
I hope this is correct.
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (10, - 12) and (x₂, y₂ ) = (10, 7)
m = [tex]\frac{7+12}{10-10}[/tex] = [tex]\frac{19}{0}[/tex]
Since division by zero is undefined then the slope of the line is undefined
Find the area of the composite figure.
Answer:
i think 48
Step-by-step explanation:
Please answer and show your work its "Pythagorean Theorem Word Problems" the first one is answered to show how you will be answering it.
When you are answering each question mark it 2 to 9.
(8 questions)
Answer:
I hope the answers are right. Most of them should be though
Step-by-step explanation:
The volume of a solid cube is 1331cm3. Work out the surface area.
Answer:
Answer is 726 cm2.
Step-by-step explanation:
I hope it's helpful!
What happens first when a star begins to run out of fuel?
The star’s core shrinks.
The star becomes a black hole.
The star becomes a white dwarf.
The star’s outer layer drifts away.
Answer:
a
Step-by-step explanation:
When a star begins to run out of fuel, the first thing that happens is that the star’s core shrinks.
Option A is the correct answer.
What is the star's core in an automobile?In the context of an automobile, the term "core" usually refers to a component of a vehicle's cooling system called the radiator core.
The radiator core is responsible for dissipating heat from the engine coolant by allowing air to flow through a series of metal fins attached to narrow tubes that carry the coolant.
We have,
When a star begins to run out of fuel, the first thing that happens is that the star’s core shrinks.
This is because the energy produced by nuclear fusion reactions in the core of the star is what keeps the star from collapsing under its own gravity.
As the fuel for these reactions runs out, the core of the star no longer has enough energy to counteract the force of gravity, causing it to shrink.
This in turn causes the outer layers of the star to expand, leading to the next stage in the star’s life cycle.
Thus,
The star’s core shrinks.
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Solve the equation 18t – 8 = 1 for t.
A.
B.
C.
D. 2
18t - 8 = 1
18t = 9
t = 1/2
Answer:
1/2
Step-by-step explanation:
youu didn't put all options but
18 × 1/2 or 0.5 = 9
9-1 = 1
Someone Please help me..What must the value of x be in order for the figures below to be similar?
Answer:
16 cm
Step-by-step explanation:
x+x
8+8
16 cm
therefore 16 cm must be the value of x be in order for the figures below to be similar
Describe the transformations applied to the following function.
f(x)=x4→g(x)=(x+2)4−5
Step-by-step explanation:
please mark me brainliest and follow me my friend.
Determine the domain of the following graph:
Answer:
Domain: (-3, 7)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-value span from -3 to 7. Since both are open dot, they are excluded from the domain:
(-3, 7) or -3 < x < 7
(What did Benjamin Franklin use to lighten the mood in Philadelphia where the Constitution was being written?)
Sense of humor.
Ice cream.
An air-cooling device he had invented.
Poetic readings.
Answer:
Ice cream
Step-by-step explanation:
During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.
To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.
Answer:
An air cooling he has invented
Step-by-step explanation:
4c+3d+f c=5 3=d f=-2
Hey there!
• If c = 5; d = 3; f = –2, then SUBSTITUTE it for their values !
• 4(5) + 3(3) + (–2)
4(5) = 20
• 20 + 3(3) + (–2)
3(3) = 9
• 20 + 9 + (–2)
20 + 9 = 29
• 29 + (–2)
➡️ 29 – 2 = 27
Answer: 27 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
27
Step-by-step explanation:
What type of exponential function is f(x)=0.75(2.1)x
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.
The function is an exponential_____ function.
The percent rate of change of the function is _____%.
Answer:
Growth
110%
Step-by-step explanation:
A theater is filled with 84 females and 132 males. What percent of the people in the theater are female?
Answer:
look at how I rounded them and put in the answer it says to round to
Step-by-step explanation:
84 + 132 = 216
84 / 216 = 38.88%
rounded to the nearest hundredth = 38.89%
rounded to the nearest tenth = 38.9%
rounded to the nearest whole number = 39%
The percent of the people in the theater are female will be 38.89%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A theater is filled with 84 females and 132 males.
Now,
Since, A theater is filled with 84 females and 132 males.
Hence, Total number of peoples = 84 + 132
= 216
Thus, The percent of the people in the theater are female will be;
Percent = 84 x 100 / 216
= 38.89%
Therefore, The percent of the people in the theater are female will be 38.89%.
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Which expressions are equivalent to - 62+(-5.5) + 1.5z + 7y-3.5?
Select all that apply.
A. – 9+ 7y +4.52
B. -9+ 7y + (-4.52)
C. 7y-9-4.5z
D. - 4.52 + 7y-9
E. 7y +(-4.52) -5.5
I need the answer so I can pass the first semester♀️
Answer:
Step-by-step explanation:
0.333333 = 1/3
can check through dividing 1 by 3
0.125 = 125/1000 = 25/200 = 5/40 = 1/8
0.166666 = 1/6
0.1 = 1/10
0.66666 = 2/3
0.2 = 2/10 = 1/5
0.75 = 75/100 = 15/20 = 3/4
Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.
The graph with the X-coordinate marks 0, 2, and 4. The Y-coordinate mark 0, 2, and 4. There is graph of absolute value function “f” which opens downwards. The function has a vertex at (1, 0). It passes through the points (1.5, 1) and (3, 4).
A. The rate of change is 12.
B. The rate of change is 2.
C. The rate of change is constant.
D. The rate of change is increasing.
Answer:
B. The rate of change is 2.
C. The rate of change is constant.
D. The rate of change is increasing.
Step-by-step explanation:
Rate of change over 1.5 ≤ x ≤ 3:
[tex] rate of change = \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = 1.5, f(a) = 1,
b = 3, f(b) = 4
Plug in the values:
[tex] rate of change = \frac{4 - 1}{3 - 1.5} = \frac{3}{1.5} = 2 [/tex]
✔️The rate of change = 2
✔️The rate of change is increasing because the value is a positive value.
✔️The rate of change is also constant over 1.5 ≤ x ≤ 3 since the line is straight.
The points on the interval of the absolute value function in the graph are on the same straight line.
The statements that describe the rate of change over the interval; 1.5 ≤ x ≤ 3 are;
B. The rate of change is 2C. The rate of change is constantReasons:
The given parameter of the graph of the f are;
The vertex of the function = (1, 0)
The straight line of the function f passes through the points (1.5, 1) and (3, 4)
Therefore;
[tex]\displaystyle The \ slope \ of \ the \ graph \ between \ (1.5, \, 1) \ and \ (3, \, 4) = \mathbf{\frac{4 - 1}{3 - 1.5} }= \frac{3}{1.5} =2[/tex]
The slope of the graph = The rate of change of the graph
Therefore;
The rate of change of the graph over the interval 1.5 ≤ x ≤ 3 is 2
The rate of change is 2Given that the graph is a straight line graph, we have;
The slope of the graph is constant, therefore;
The rate of change is constantLearn more about the graph of linear functions here:
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name the three factors that determine simple interest
Step-by-step explanation:
We know , [tex] \boxed{ \sf{Interest = Principal \times Time \times Rate}}[/tex]
Looking at the formula of simple interest , the three factors that determine simple interest should be :
Principal : The money which is borrowed or deposited is called principal . It is denoted by ' P ' .Time : The duration of time for which principal is deposited or borrowed is termed as time period. It is denoted by ' T ' .Rate : The condition under which the interest is charged is called rate. It is denoted by ' R ' .Hope I helped !♡
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What is the slope? (10 points)
Sadie types 800 words in 16 minutes. What is the unit rate in words per minute?
Answer:
50 worlds per minute
Step-by-step explanation:
800/16=50
Answer:
= 50 words per minute
Explanation:
Have A Wonderful Day !!
Can someone help me? After I figure out the sequence i have to write the formula. please help.
5/6, 2/3, 1/2, 1/3,...
Rewrite the fractions to have a common denominator to find the difference:
2/3 = 4/6
Difference = 4/6-5/6 = -1/6
Sequence formula = an = a1 + d(n-1)
A1 is the first term 5/6
And d = -1/6
Sequence = 5/6 -1/6(n-1)
Simplify to get an =(-n +6)/6
solve for a.
p + a + r = k
Answer:
Step-by-step explanation:
sqrt(p+a)=k-r
we raised to the power of 2 both sides
(p+a)=k^2-2kr+r^2
a=k^2+r^2-2kr-p
choice 2
Is 4 acres for 800 plants a rate it unit rate?
Answer:
yes, put it in this perspective, for every 4 acres, 800 plant are planted
Step-by-step explanation:
A. Group of students were competing to raise money for a local animal shelter their goal was to raise $400 Philip raised 60% of the goal by himself how much money with the rest of the students need to raised
Answer:
$160
Step-by-step explanation:
remaining money= 40% x $400= 160
Answer:
see explanation
Step-by-step explanation:
100 percent -60 percent =40 percent
rest money =40 percent of $400
=40/100×$400
=$160.
: the rest many needed by the student is $160.
Identify the real and imaginary part of the complex number. 2 + 6i Real:? Imaginary:?
real = 2 imaginary = 6i
there's only two terms in the expression.
i is an imaginary number - it's not on the number line and it never will be; which means any TERM with i in it, is imaginary. 6i is one term so the entire term is imaginary since 6i will never be on the number line.
2 is on the number line which means it's a real number.
i hope this helps!
Question 1
Mallory is investigating transformations in the coordinate plane. She makes the claims shown in the options below.
Select each claim that is true for all points in the coordinate plane.
СА A reflection over the y-axis takes the point (x, y) to (-2,y)
De A reflection over the line y = -x takes the point (x, y) to (x, y).
С
A translation of 4 units down takes the point (x, y) to (x, y - 4)
A rotation of 180° clockwise about the origin takes the point (x, y) to (y. –x).
co
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Answer: A and C
Step-by-step explanation:
Point A and C is true about the coordinate plane.
Given that, Mallory is investigating transformations in the coordinate plane.
What is coordinate plane?A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called the y-axis and a horizontal line called the x-axis. These are perpendicular lines that intersect each other at zero, and this point is called the origin.
A) A reflection over the y-axis takes the point (x, y) to (-x, y)
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
B) A reflection over the line y = -x takes the point (x, y) to (x, y)
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
C) A translation of 4 units down takes the point (x, y) to (x, y - 4)
For example, to translate a point 1 unit to the left and 4 units down, subtract 1 from the x -value and subtract 4 from the y -value.
D) A rotation of 180° clockwise about the origin takes the point (x, y) to (y, -x).
The rule for a rotation by 180° about the origin is (x, y) → (−x, −y).
Therefore, point A and C is true about the coordinate plane.
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