Answer:
The easiest way I can think of to show someone who is not very mathematically inclined that the calculation is wrong (other than using a scientific calculator) is this:
Explain that one half contains four eighths - you can visualize this very simply with a pie chart.
Then tell Anna that mathematically speaking this translates to the equation:
1/2 = 4 * 1/8
Now, if ONE half is equal to four times ONE eighths, then SEVEN halves is equal to four times SEVEN eighths - basically, you just multiply both sides by 7:
7/2 = 4 * 7/8
Now, compare this to the equation proposed by Anna:
7/2 = 1½ * 7/8
I guess, at this point it will be easy to convince Anna that 1½ is not 4, and therefore her equation is faulty.
-----
Alternatively, if she's sound with fractions you could also tell her that to get from 7/8 to 7/2 you will need a factor which only affects the denominator as the numerator stay the same. The factor that turns 8 into 2 is 1/4 but since this takes place in the denominator we need the reciprocal to turn 1/8 into 1/2 - and the reciprocal of 1/4 is of course 4. At which point we've arrived at the same place of argumentation as before (which is that 4 ≠ 1½).
Step-by-step explanation:
hope this helps :)
In the following equation, what number represents the y-intercept?
y = 2x – 10
1) 0
2) -1
3) 2
4) 10
Answer:
4) 10
Step-by-step explanation:
The number with x is slope and the other number is y-intercept so it's 10
(10-x)(3x -9)=0
NEED HELP ASAP
Answer:
Step-by-step explanation:
Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.
(10-x)(3x-9)=0 when
10-x=0, x=10
3x-9=0, x=9/3=3
So there are two solutions when x=3 and x=10
The number of days, d, required to complete a job varies inversely as the number of workers, w, on the job.
If it takes 9 days for 8 workers to complete a job, then how many workers would it take to do the job in 18 days?
Answer:
4
Step-by-step explanation:
this one is an easy relationship- if you have double the time (18 vs9), then you need half the workers (8/2)
Determine which is the graph of the given function.
-0.57+ 5 if x <1
=
-0.5(x + 5) if x 1
if m=2 , find the value of 5-m
Answer:
5 - 2 = 3
Step-by-step explanation:
Replace m with 2 since m=2
Answer:
3
Step-by-step explanation:
If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.
The volume of the rectangular prism is ___ cubic units.
Answer:
144 cube units
Step-by-step explanation:
volume = width*height*length
V=12*3*4
V=144 cube units
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
Find the area plz plz
Answer:
57.475 ft2
Step-by-step explanation:
12.1x9.5= 114.95
114.95/2= 57.475
Answer:
[tex]\Huge\boxed{57.475 ft^2}[/tex]
Step-by-step explanation:
Hello there!
The following figure shown is a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base and h =height
The height of the triangle is 12.1 ft and the base length is 9.5ft
Knowing this information all we have to do is plug in the values into the formula
[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]
So we can conclude that the area of the triangle is 57.475 square feet
Why is the surface area of a triangular prism measured in square units rather than in cubic units? Surface area measures the area of the faces. Area is a -dimensional measurement, so it is measured in square units.
Answer:
Step-by-step explanation:
Area of a given figure is a 2 dimensional measurement which describes the amount of space occupied by the figure, while volume of the figure describes its capacity in a 3 dimensional measurement.
The surface area of a triangular prism is the sum of the areas of all its surfaces. Since the surface area considers the areas of the figure not volume, therefore the surface area of the triangular prism is measured in square units not cubic units.
find the value of given expression
[tex] \sqrt{564 \times 564} [/tex]
Answer:
√(564×564)=√564²=±564
Answer:
[tex]±564.[/tex]
Step-by-step explanation:
[tex] \sqrt{564 \times 564} [/tex]
[tex] \sqrt{ {564}^{2} } [/tex]
[tex]±564.[/tex]
find the value of given expression
[tex] \sqrt{65 \times 65} [/tex]
Answer:
[tex]\huge \colorbox{blue}{65}[/tex]Step-by-step explanation:
to understand thisyou need to know about:PEMDAStips and formulas:order of PEMDAS
parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:simplify multiplication:
[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]
use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:
[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]
as we know x¹=x
therefore our final answer is
65Answer:
[tex]65[/tex]
[tex] \sqrt{65 \times 65} \\ = 65[/tex]
Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00
Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24
what is the answer to this
Answer:
IDEK
Step-by-step explanation:
Answer: i d k
Step-by-step explanation:
PLEASE EMERGENCY THAN YOU
Answer:
135°Step-by-step explanation:
This is a cyclic quadrilateral.
It has a property of opposite angles being supplementary.
A and C are supplementary angles:
3x + 6 + x + 2 = 1804x + 8 = 1804x = 172x = 43m∠A = 3x + 6 = 3*43+ 6 = 135°
Answer:
<A=135°
Step-by-step explanation:
3x+6+x+2=180
sum of two opposite angle of the cyclic quadrilateral is 180
4x=180-8
x=172/4=43°
<A=3×43+6=135° is your answer
The perimeter of a square is 100 cm. How long is one diagonal?
Please help I don’t understand
Answer:
QS is a triangle. Because QS are connected and split down the middle which made a triangle.
Step-by-step explanation:
24. BLOCKS Building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as x centimeters, where x is the length of the packaging box. What is the volume of a building block in terms of x?
Answer:
x³
Step-by-step explanation:
Given that length of packaging box = length of block = x
The volume of a box is given as : a³
Where a is the side length ;
In this scenario, x = a
Hence, volume of Block = x³
Answer:
Step-by-step explanation:
11728x6
cm3
Mark is making a model tent for his project,
the area of the base is 56 square inches.
Which of the following is the best ESTIMATE
for the volume of the tent? A-756 inches, B-
745 inches, C-1500 inches, D-800 inches?
Answer:
756 inches
Step-by-step explanation:
1. you have to multiply 27 by 56 and there's your answer.
The length of a rectangle is 45 inches and the width is 8 inches. A similar rectangle has a width of 24 inches what is the perimeter of the second rectangle? Show your work
Answer: The answer is 318
Step-by-step explanation:
The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.
Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
2x + 4y = 8
Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
2x + 32 - 4x = 8
2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
Work out the size of angle x.
38°
х
101°
The size of the angle 'x' is 117°
The external angle of a triangle:An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.
In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.
Here we have a triangle
Let the ABC be the triangle as given in the picture
=> ∠A = 38°
From the baseline BC
=> Measure of B = 180° - 101° = 79°
As we know
In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles
=> x = ∠A + ∠C
=> x = 38° + 79°
=> x = 117°
Therefore,
The size of the angle 'x' is 117°
Therefore,
Learn more about Triangles at
https://brainly.com/question/9934544
#SPJ1
Un sure on this if someone could answer would be great !
Answer:
x= 5/2 x= (±sqrt13)/2
Step-by-step explanation:
Vanessa bought some cupcakes and brownies at the school bake sale.
She bought 25 items in total and spent $40.
Each cupcake costs $2 and each brownie costs $3.
Answer:
6 brownies and 2 cupcakes.
Step-by-step explanation:
Bob challenges Alice to a swimming race from one end of a 10-meter pool tothe other. Bob is so confident he will win that he lets Alice use the starting blockbecause diving in from there will give her a lead. He will start in the pool at the wall.Alice accepts the offer. At time t=0 seconds, Alice hits the water 2 meters out fromthe edge of the pool at a constant speed of 1 meter per second, which she maintainsthroughout the race. Meanwhile, at t=0, Bob starts off from rest at the pool walland is speeding up. Bob’s distance from the wall at any given time, t, is given byBt()=0.25t2, where Bt() measures the distance from the starting point at the poolwall. Will Bob be able to beat Alice to the opposite end of the pool? Is it possible forBob to win, and if so, how long would the pool need to be for him to win?
The area of a circle is 30.85cm2. Find the length of the radius rounded to 2 DP
Answer: 3.13
Step-by-step explanation:
Determine the equation of the line based on the graph.
(write in slope-intercept form)
Submit
Answer:
5/2
Step-by-step explanation:
rise over run | you rise up 5 everytime and you go right 2 everytime
Is the situation continuous or discrete?
Answer:
continuous
Step-by-step explanation:
Here is the original
23/67
Answer:
0.343283582
HOPE IT HELPS
The y-intercept of y=2.5^x-6
Answer:
-6
Step-by-step explanation:
-6 is the y-intercept :)
find the value of x in the triangle shown below
x =____
help besties, i’m not smart
Answer:
x = 96
Step-by-step explanation:
x = 180 - (34 + 50)
x = 180 - 84
x = 96
You are smart, remember that! You just have a little trouble with this problem, that's all!
Hope that helps!
-Sabrina
i need help quickly guys
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Pythagorean Formula:
a² + b² = c²
Given:
a = 3
b = 4
Work:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c² = 25
[tex]\sqrt{c^2} =\sqrt{25}[/tex]
c = 5