Answer:
24
Step-by-step explanation:
let 'x' = number
x/2 - 2 = 10
add 2 to each side to get:
x/2 = 12
cross-multiply to get:
x = 24
Answer:
The equation is (x/2) - 2 = 10The equation solves to x = 24============================================================
Explanation:
x = the number you think of
x/2 = the result after taking half of that number
(x/2) - 2 = subtract 2 from the previous result
(x/2) - 2 = 10 is the equation to solve
Solving said equation gets us...
(x/2) - 2 = 10
x/2 = 10+2 ... adding 2 to both sides
x/2 = 12
x = 12*2 ..... multiplying both sides by 2
x = 24
Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24
-----------------
Let's check that answer:
x = 24
x/2 = 24/2 = 12 ... result after taking half of x
(x/2) - 2 = (12)-2 = 10 ... result after subtracting two
We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.
------------------
Here's another way to check:
(x/2) - 2 = 10
(24/2) - 2 = 10
(12) - 2 = 10
10 = 10
We end up with the same thing on both sides, so x = 24 is confirmed.
a dime is dropped from a building at 1.024 ft . if the equation for height as a function of time is h(t)=-16t^2+ initial height where is t is time in seconds and h(t) is height in feet, how many seconds will it take for the dime to hit the ground?
Answer:
The dime hits the ground after 8 sec.
Step-by-step explanation:
Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:
16t^2 = 1,024 ft, or:
t^2 = 64 ft^2
Then t = +8 sec
The dime hits the ground after 8 sec.
Jack tool out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer:
A = $32,732.58
A = P + I where
P (principal) = $25,000.00
I (interest) = $7,732.58
Step-by-step explanation:
Given data
Time= 6 years
Principal= $25,000
Rate= 4.5%
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.045/12)^(12)(6)
A = 25,000.00(1 + 0.00375)^(72)
A = $32,732.58
Question 54
Jonathan wants to fence off a rectangular area for his dog. He has 24 metres of fencin
he wants the largest possible area what should the dimensions of the fenced off area be
Answer:
6 + 6 + 6 + 6= 24
Step-by-step explanation:
ad four sixes
Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.
Answer:
I think that the answer is true (explanation might not be 100% accurate)
Step-by-step explanation:
Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.
Help..? Pleaseee , it has to do with the Pythagorean Theorem. But I have no idea how to do it
triangle 15 13 b. .................................
Answer:
d) 7.5
Step-by-step explanation:
15sqrd= 225
13sqrd= 169
225-169= 59
[tex]\sqrt{59}[/tex]=7.5(1dp)
Helpppppppppppppppppppp
Answer:
10 games for $25
Step-by-step explanation:
level up: y = 1.5x + 10
infinity arcade: y = 2x +5
x = # of games
1.5 (10) + 10 = 2 (10) + 5
15 + 10 = 20 + 5
25 = 25
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain
pls help me
Answer:
Expected number of winners with 52 contestants:52*5/13 = 20.The experiment result is almost twice less (12 vs 20).In order to change the results of experimental probability some of the letters may need swapped, (probably the letters are in alphabet order) but for this we need more data.
Step-by-step explanation:
Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times. Theoretical probability is probability that is determined on the basis of reasoning. Probability is a value between (and including) zero and one.
also whats your discord
HELP:::: Find the volume
Answer:
94,080 cm^3
Step-by-step explanation:
V= L • W • H
V= 42 • 35 • 64
V= 94,080
Hope this helps, good luck!
Step-by-step explanation:
42x35= 1,470
1,470x64= 94,080cm³
Hope it helped!
what is the Q3 of the following set of data? 106,117,152,132,148,101,124,110,167,139,112
Answer:
148
Step-by-step explanation:
First, sort the list in order from smalles to largest:
101, 106, 110, 112, 117, 124, 132, 139, 148, 152, 167
There are 11 numbers in the list, so the median is the 6th number, 124.
The third quartile (Q3) is in the middle of the right-hand half:
132, 139, 148, 152, 167
help me plsssssssssssss
Answer:
do you still need help
Step-by-step explanation:
???
What are the areas of #6 and #8?
Please help me out
Answer:
Number 6 is 295 ft^2
Number 8 is 24 m^2
Answer:
[tex]unshadded \: region = {2}^{2} + {2}^{2} \\ = 4 + 4 \\ = 8 \\ totol \ \: region = 8 \times 4 = 32 \\ \\ area \: of \: shadded \: region = 32 - 8 = 24[/tex]
ASAP
-WILL MARK BRIANIST
its A, C, and E
Good Luck
Answer:
I got A and C
Step-by-step explanation:
The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.
A number is multiplied by 4. That result is added to 12. The final number is 40.
What is the original number?
Answer:
n = 7
Step-by-step explanation:
Let the number be n. Then 4n + 12 = 40.
Solving this for n: 4n = 28, so that n must be 7.
n = 7
Answer: 28
Step-by-step explanation: 4x7=28. 28+12=40
PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE.
Answer:
y = 3/2 when x = 15
Step-by-step explanation:
y = k / √1+x
2 = k / √1+8 = k/3
k = 6
y' = 6 / √1+15 = 6/4 = 3/2
2.5kg of sultana brand costs $4.80 and 1.5 kg of Weetabix costs $2.95, show with working which is the best buy?
2.5kg of sultana brand cost 4.80$
price of 1 kg sultana brand = 0.520$ per kg
1.5 kg of weetabix costs $2.95
price of 1 kg weetabix brand = 0.509$
The best buy is weetabix !
Determine the value of x.
A) 12
B) 2√3
C) 12√3
D) 6√3
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )
x = 6[tex]\sqrt{3}[/tex] → D
Find area of the composite figure..
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
ILL MARK BRAINLIEST 15 PTS!!! HURRY
If the function rule is to multiply by 4, and there is an output value of 8, what is the input value?
16
02
08
O 32
Answer:
02
Step-by-step explanation:
Answer:
Input Value = 02
Step-by-step explanation:
2 multiplied by 4 is 8.
You could also divide 8 by 4 to get 2 to check your work.
What is a formula for the nth term of the given sequence? 300, 180, 108...
Answer:
Step-by-step explanation:
The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .
nth term=500(0.6)^n-1
What is the value of (7 – 3i)(6 + i)?
A. 42 – 141
B. 45 – 11i
OC. 45 – 25i
D. 42 - 28i
100 points giving brainly
Se va a colocar una escalera que mide 5 metros (m) de longitud sobre una pared. El fabricante de la escalera recomienda que, por seguridad, el ángulo que forme la escalera con el piso sea de 78°, ¿Cuál será la distancia sobre el piso del pie de la escalera a la pared?
Answer:
4.9 m
Step-by-step explanation:
Resolvemos la pregunta anterior usando la función trigonométrica de seno
sin θ = Opuesto / Hipotenusa
θ = 78 °
Hipotenusa = Longitud de la escalera = 5 m
Opuesto = Distancia sobre el suelo = x
sin 78 = x / 5m
Multiplicar cruzada
x = sin 78 × 5 m
x = 4.8907380037m
Aproximadamente
= 4.9 m
Biscuits are sold in in packs of 8. How many packs should you buy if you need 56 biscuits.
Answer:
7
Step-by-step explanation:
you just divide 8/56= 7
-----------------------------------------------------------------------------
Step 1:
Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:
56⟌8
Step 2:
The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:
0
56⟌8
Step 3:
Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.
0
56⟌8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.
0
56⟌8
-0
8
the answer to 8 divided by 56 calculated using Long Division is: 7
25 POINTS!!!!!!
ANSWER THE QUESTION BELOW
Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answer:
Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.
f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
ANSWER :By question , f is inversely proportional to square root of g. In mathematical form ,
[tex]\implies f \propto \dfrac{1}{\sqrt g}[/tex]
Let k be constant . So that ,
[tex]\implies f =k \dfrac{1}{\sqrt g}[/tex]
When f = 8 , g is 25. So that ,
[tex]\implies 8= k\dfrac{1}{\sqrt {85}}[/tex]
[tex]\implies k = 8\sqrt{25} [/tex]
Hence the value of constant is 8√25.
So that when g is 16 ,
[tex]\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } [/tex]
Hence the Value of f is 10 .
a) Find the value of 2x + y when x = 4 and y = 3
b) Find the value of a^2 + b when a = -2 and b = 5
someone PLEASE HELP if you know what you're talking about!! i really need this!
The circumference is about ___ m.
Use 3.14 for π.
Answer:
The circumference is:
14.6 x 3.14 = 45.844 (m)
Step-by-step explanation:
If you flew 8000 miles in 20 hours what was your unit rate
Answer:
400 miles per hour
Step-by-step explanation:
8000 miles ÷ 20 = 400 Miles
20 hours ÷ 20 = 1 hour
A teacher surveys all of the students in the school to find out each student's favorite class. The bar graph shows the results of his survey. How many more students prefer Math than prefer Science? Use the bar graph to answer the question.
Answer:
14
Step-by-step explanation:
16 students prefer maths and 2 students prefer science so
16-2=14
What is the slope (rate of change)
Someone please help me with this im not good with graphs.
Answer:
1
Step-by-step explanation:
1. To get the slope, you need to divide the rise by the run.
2. Pick two points each on the X-axis and pick corresponding points on the Y axis and then name them y2, x2 and y1, x1.
3. The rise will be y2-y1
4. The run will be x2-x1
5. Therefore, the slope is rise/run = (y2-y1)/(x2-x1)
In this case, let's take 2 on the X axis as x2 and the corresponding point on the Y axis as y2 which in this case happens to also be 2.
Now, let's take 1 on the X axis as x1 and the corresponding point on the Y axis as y1 which is also 1.
now using the formula (y2-y1)/(x2-x1), we get: slope = (2-1)/(2-1) = 1