Answer:
9 years old
look at the comment section.
The age of john is 9 years.
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
John is 3 years older than Mary.
Five years ago he was four times as old as Mary was then.
let the age of mary be x
John's age= x+ 3
Five years age,
Mary's age= x-5
john's age = x-2
So,
x-2= 4( x-5)
x- 2 = 4x- 20
-3x= -18
x=3
Hence, john's age= 9 years
Learn more about algebra here:
https://brainly.com/question/953809
#SPJ2
PLS HELP FR YOU WILL LITTERALLY GET A LOT OF POINTS AND A BRAINLY!!!!!!
Answer:
4
Step-by-step explanation:
f(-3) simply means finding -3 for on the x axis and location its y coordinate. Hope it helps!
A triangle has a base of 8 feet and a height of 6 feet. By how much does the height need to increase for the area to increase by 2 square feet? Write your answer as a decimal. plss help me
Answer:
0.5 ft
Step-by-step explanation:
Base = 8 ft and Height = 6 ft
Area of Triangle = 0.5*b*h
Area of Triangle = 0.5*8*6 = 24 sq.ft
To increase the Area by 2 sq.ft so the New Area will be 26 sq.ft
New Area = 0.5*b*(New Height)
26=0.5*8*(New Height)
New Height = 6.5 ft
The Increase in Height = New Height - Old Height = 6.5 - 6 = 0.5 ft
The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.
How do we determine the area of a triangle?The area of a triangle is half the product of its base and its height, that is,
Area = (1/2)*base*height.
How do we solve the given question?We have been asked to find the increase in the height of a triangle with base(b) = 8 feet and height(h) = 6 feet, such that its area increases by 2 square feet.
First, we find the initial area of the triangle,
Area = (1/2)*b*h (1/2)*8*6 = 24 square feet.
New area = initial area + 2 square feet = 24 + 2 = 26 square feet
Let the increase in height be x feet,
∴ New height(h1) = 6+x feet
∴ New area = (1/2)*8*(6+x),
But we know that the new area is 26 square feet, so we equate them to get:
(1/2)*8*(6+x) = 26
or, 4(6+x) = 26
or, 24 + 4x = 26
or, 4x = 26 - 24 = 2
or, x = 2/4 = 0.5
∴ The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.
Learn more about the area of a triangle at
https://brainly.com/question/17335144
#SPJ2
thanks for the help i really mean it
9 is 3 less than a number n in standard form
Answer:
9=n-3
Step-by-step explanation:
40 divided by one fith !!!!!!!!!!!!!
Answer:
200 because i trust a calculator
Step-by-step explanation:
Six different people each brought four dishes to a gathering. Find the total number of dishes.
Please help with this question
The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.14 for π and round your answer to the nearest tenth.
Answer: 49.0 square meters
====================================================
Explanation:
We'll first need to find the radius of the rug using the circumference.
C = 2*pi*r
r = C/(2pi)
r = (24.8)/(2*3.14)
r = 3.949045 which is approximate.
Now we can find the area
A = pi*r^2
A = 3.14*(3.949045)^2
A = 48.968163 this is also approximate
Rounding to the nearest tenth gets to 49.0
pls help with this i really need help
Line jk passes through points j(–3, 11) and k(1, –3). what is the equation of line jk in standard form? 7x 2y = –1 7x 2y = 1 14x 4y = –1 14x 4y = 1
The equation of the line passing through the points (–3, 11) and (1, –3) is 7x +2y = 1. Then the correct option is B.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The line JK passes through points J(–3, 11) and K(1, –3).
We know that the equation of a line passing through two points is given as
[tex]\rm (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1} (x - x_1)[/tex]
Then we have
[tex]\rm (y - 11) = \dfrac{-3-11}{1 + 3} (x + 3)\\\\\\(y - 11) = \dfrac{-14}{4} (x +3)\\\\\\(y - 11) = \dfrac{-7}{2}(x +3)\\\\\\2y - 22 \ = -7x -21\\\\\\7x + 2y \ = 1[/tex]
The equation of the line passing through the points (–3, 11) and (1, –3) is 7x +2y = 1. Then the correct option is B.
More about the linear system link is given below.
https://brainly.com/question/20379472
Find the area of the figure.
Answer:
132cm2
Step-by-step explanation:
1. Split the figure into a trapezoid and a rectangle.
2. Find the area of the trapezoid, which is 104cm2.
3. Find the area of the rectangle, which is 28cm2.
4. Add the areas to get 132cm2.
What would be the correct notation for the following line
Answer:
Its A :))
Step-by-step explanation:
a number close to 1,772 that is easily divisible by 90
- - - - - - - - - - - - - - - - - -
Let's try to divide 1,772 and see how much math we need to do...
1,772 / 90 = 19.6888888889
Well, clearly we need more than 1,772!
- - - - - - - - - - - - - - - - - -
Now, play around with adding numbers.
(I'm gonna skip all the experimenting, here's the closest # available for easy division!)
⇣
1,800 / 90 = 20
1,800
hope this helps
A)
B)
C)
D) None of the lines fit the data
Answer:
B
Step-by-step explanation:
Line B best fits the data because some of the points fall on line B.
Hope this helps!
What is the GCF of 16s3t, 40s5, and 68t2?
4
4s3t
8
8s3t
Answer:
4
Step-by-step explanation:
can anyone help?????
A) 80
B)-60
C) 2
D) -54
Step-by-step explanation:
what is the measure of angle d
Answer:
90 I think
Sorry if its wrong!
Use long division to find the quotient. Write your answer as a decimal 99 divided by 12
Answer:
Please refer to the image
Step-by-step explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Step-by-step explanation:
The expression (1+0.0325)^t represents amount in account after t years for 1 dollar. So multiplying the expression by 500 which is the initial deposit amount means it represents the amount of money in the account after t years.
(11^2x × 11^1 - 6 × 121^x )÷ (5 × 121^x)
Answer:
[tex]\frac{1331x-6\times \:121^x}{5\times \:121^x}[/tex]
Step-by-step explanation:
[tex]\frac{11^2x\times \:11^1-6\times \:121^x}{5\times \:121^x}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]
[tex]11^2\times \:11^1=11^{2+1}[/tex]
[tex]=\frac{11^{2+1}x-6\times \:121^x}{5\times \:121^x}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:2+1=3[/tex]
[tex]=\frac{11^3x-6\times \:121^x}{5\times \:121^x}[/tex]
[tex]11^3=1331[/tex]
[tex]=\frac{1331x-6\times \:121^x}{5\times \:121^x}[/tex]
[RevyBreeze]
Answer:
1
Step-by-step explanation:
[tex] \dfrac{11^{2x} \times 11^1 - 6 \times 121^x}{5 \times 121^x} = [/tex]
[tex] = \dfrac{11 \times 11^{2x} - 6 \times 11^{2x}}{5 \times 11^{2x}} [/tex]
[tex] = \dfrac{5 \times 11^{2x}}{5 \times 11^{2x}} [/tex]
[tex] = 1 [/tex]
Find m AC
please hurrrrryyyyyyyyyyy
really need help on this
Answer:
9
Step-by-step explanation:
[tex] \sqrt{3 {}^{4} } =( 3 {}^{4} ) {}^{ \frac{1}{2} } = {3}^{2} = 9[/tex]
which of the following would result in the same value as -40 divided by 2? select all that apply
Answer:
C D F
Step-by-step explanation:
Taking -40/2, we know our answer must be -20.
Testing each answer choice proves this.
A= 40*1/2, which is equal to 40/2, which is 20.
B= -40*-1/2, again, equaling 20.
C= 40/-2. Since one of our terms is negative, this one is -20.
D= 40*-1/2, again, -20.
E= -1/40*2. This would equal -2/40, using fraction multiplication.
F= -40*1/2, Which is the exact same thing the original question asks.
Thus, our final answer is C, D, and F.
Dylan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 5.5 hours and charged him $71 for parts. The total was $648.50. What was the cost of labor, per hour?
Answer:
$105 per hour
Step-by-step explanation:
$648.50 - $71 = $577.50
$577.50 / 5.5 = $105 per hour
105 x 5.5 = 575.50
+ 71.00
648.50
The per hour charge of the technician is given as $15.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given problem can be solved by ratio method as follows,
The remaining cost charged by the technician is $648.50 - $71 = $577.50
Now, the per hour charge is remaining cost divided by total number of hours as given below,
577.50/5.5
= 57750/550
= 15
Hence, the cost of labor per hour is given as $15.
To know more about ratio and proportion click on,
brainly.com/question/14279414
#SPJ2
The graph represents the cost of renting a generator from a hardware store. What does the point (2, 50) mean in the problem situation?
The point (2,50) means that the Cost of renting a generator for 2 hours is $50..
The y-axis is representing the Total cost The x-axis is repressing the Time in hoursMadeline uses this scale model of a design she plans to paint on a wall. She uses the key 1 cm = 1. 5 ft. One gallon of paint will cover 400 square feet of wall. How many gallons of paint will Madeline use? Enter your answer as decimal in the box.
The amount of paint required by Madeline will be 0.8325 gallons
What amount of paint will be required by Madeline?Given that
[tex]1cm=1.5ft[/tex]
We will first find the area of the wall
Area of the wall = Area of trapezoidal shape+ Area of triangular shape
Area of trapezoid = [tex]\dfrac{a+b}{2} \times h[/tex]
a= 4cm
b=14cm
h=10cm
putting this values
[tex]A=\dfrac{4+14}{2} \times 10[/tex]
[tex]A=90cm^{2}[/tex]
Area of triangular shape= [tex]\dfrac{1}{2} \times width\times height[/tex]
width=14cm
height=8cm
putting the values
[tex]A=\dfrac{1}{2} \times 14\times 8=58cm^{2}[/tex]
[tex]Total area of the wall= 90+58=148cm^{2}[/tex]
since we have
[tex]1cm=1.5ft[/tex]
[tex]148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}[/tex]
Now
[tex]1gallon = 400ft^{2}[/tex]
so for [tex]333 ft^{2}[/tex] amount of paint in gallons required will be
[tex]1ft^{2} =\dfrac{1}{400} gallons[/tex]
[tex]333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons[/tex]
Thus the amount of paint required by Madeline will be 0.8325 gallons
To know more about the area of trapezoid follow
https://brainly.com/question/1463152
help hbvgfcgvhbjbjnbhgb
Answer:
1.The total cost is $520.47
2New Blance is $3,054.53
An office supply company is shipping a case of
wooden pencils to a store. There are 64 boxes of
pencils in the case. If each box of pencils weighs
2.5 ounces, what is the weight, in pounds, of the
case of wooden pencils?
I WILL GIVE BRAINLIESTTTTTTTTTTTT
Answer:
Option A
Step-by-step explanation:
Since its an exponential of a decimal number, as x goes on increasing the graph will start going to y=0.
You can plot the graph on any online graphing tool and see for yourself :)
Answer:
Option A
EXPLANATION
[tex]{{{\colorbox{teal}{{\huge \boxed{\bold{\color{red}{T}\color{bluee}{H}\color{pink}{A}\color{yellow}{NKS}\:\color{brown}{P}\color{purple}{o}\color{black}{i}\color{green}{n}\color{orange}{t}\color{gray}{s}}}}}}}}[/tex]
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
Solve for x. Round to the nearest tenth, if necessary.
Answer:
7.1
Step-by-step explanation:
Use SOH-CAH-TOA
With repsect to the angle, the adjacent and the hypotenuse was given. This calls for cosine:
cos(27) = 6.3/x
x = 6.3/cos(27)
x = 7.1
Answer: 7.07
Step-by-step explanation:
[tex]\cos = \frac{opposite}{hypotenuse}[/tex]
[tex]\begin{aligned}\cos 27^{\circ} &=\frac{K L}{K M} \\K M &=\frac{K L}{\cos 27^{\circ}} \\K M &=\frac{6.3}{\cos 27^{\circ}} \\K M &=7.07\end{aligned}[/tex]