Given:
I have walked 20% of the way to school.
I have 1200 metres more to walk than when I have 20% of the walk remaining.
To find:
The distance from home to school.
Solution:
Let x be the distance from home to school.
I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.
It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.
[tex]1200=\dfrac{60}{100}x[/tex]
[tex]1200=0.6x[/tex]
[tex]\dfrac{1200}{0.6}=x[/tex]
[tex]2000=x[/tex]
Therefore, the distance from home to school is 2000 metres.
How far, in metres, is it from my home to my school is 2,000 metres.
First step is to formulate
1200/(1-2×20%)
Second step is to find how far in metres
Distance=1200/(1-0.4)
Distance=1200/0.6
Distance=2,000
Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.
Learn more about distance here:https://brainly.com/question/17273444
I need to find the unknown dimension of a rectangle if its area is 216 square miles and one dimension measures 6 miles
Answer:
36 miles
Step-by-step explanation:
The area of a rectangle = Length × Width
One dimension = 6 miles
Area = 216 square miles
Hence, the other dimension = 216 square miles/6 miles
= 36 miles
The unknown dimensions is 36 miles
What is the solution to the following equation? (4 points)
2(3x − 7) + 18 = 22
a
1
b
3
c
5
d
6
Answer:
Zoom it
mark me as brainliest
The answer is 3
Open the brackets:2(3x - 7)=6x -14
6x - 14 +18 =22
Take all the numbers to the other side
6x =22+14-18
6x =18
Divide by 6 kn both sides
x=3
Match each trigonometric function with its right triangle definition. Note that opp = side opposite Angle A, adj = side adjacent to Angle A, and hyp = hypotenuse.
1. hyp/opp
2. hyp/adj
3. opp/adj
4. adj/hyp
5. adj/opp
6. opp/hyp
a. sec A
b. cot A
c. sin A
d. tan A
e. csc A
f. cos A
Answer:
image pls see <3
Step-by-step explanation:
75in, 60 in Pythagorean
What’s the missing leg?
Answer:
X = 45
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + a^2 = 75^2
3,600 + a^2 = 5,625
- 3,600 - 3,600
____________________
a^2= 2025
square root them
a^2 = a
2025 = 45
so x =45
find the circumference of a circle with a radius of 9.8 in. (urgent)
Answer: 61.58
Step-by-step explanation:
C = 2 π r = 2 · π · 9.8
π = pi
radius times pi (3.14) times 2 (because two radius makes the diameter)
9.8 times 3.14 times 2 = 61.57522in
Now we round.. 61.58
:) I hope this helps!
You are paying off a student loan in monthly installments. After
the 4rd payment the remaining balance is $13,900. After the 5th
payment your remaining balance is $13,500. If n is the number of
payments that have been made, what is the nth term rule?
Answer:
The loan will be paid after 39 monthly installments.
Step-by-step explanation:
Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:
13900 - 13500 = 400
400 x 5 = 2000
2000 + 13500 = 15500
15500/400 = 38.75
Thus, the loan will be paid after 39 monthly installments.
Which number line shows the correct locations of all the given values?
Answer:
it would be c because it is plotted correctly
Peter collects antique marbles. He has these two boxes full of marbles. Which box has the larger volume? How much larger is it?
Answer:
The one with marbles should have a larger volume because the box must be larger also.
Step-by-step explanation:
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
Which of the following could be a rational number
What are the options???
Find the area of the polygons
Answer:
Step-by-step explanation:
pls help help help help help help help
Answer:
Y= -1/3x+5
Step-by-step explanation:
the first box is the slope and the second box is the y intercept
The product of all digits of positive integer M is 105. How many such Ms are there with distinct digits?
Answer:
6
Step-by-step explanation:
105 is a composite number (not prime). If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7. This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.
The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.
That's a permutation problem, and it can be answered easily by thinking this way: given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.
3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number. Here they are:
357, 375, 537, 573, 735, 753
Algebraically, find the roots of x² - 4x - 5=0,
OMG PLEASE HELP AHHH LIKE PLEASE HELP
Answer:
the ratio used was 1:19
Step-by-step explanation:
let a be the action figure version
let r be the real iron man
let's list out the important things.
a = 4''
r = 6'4''
one foot has 12 inches
convert r into inches:
6 × 12 = 72 (6 feet in r)
r = 76'' (72 + 4)
r = 76''
a = 4''
ratio is 4:76
simplify
4:76
2:38
1:19
the ratio they used is 1:19
good luck,
-cheesetoasty
An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?
Answer:
isosceles right triangle
Step-by-step explanation:
In this question it is given that the two sides of easel are same.
A triangle formed has three sides - two of easel and one of the table itself.
The angle formed in 90 degrees (right angle)
Hence the triangle is a isosceles right triangle
if g(x)=11x+3 find g(x+7) and g(x)+g(7).
Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
Find the area of the shaded region. Round your answer to the nearest hundredth.
Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.
The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)
Answer:
FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COMEPLEASE MARK ME AS BRAINLIEST
Thus the area of shaded region is 301.5 cm^2.
What is circle?"The collection of all points equidistant from a fixed point in a plane is called a circle".
For the given situation,
The radius of the inner circle be r = 8 cm and
the radius of the outer circle be R = 16 cm
The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]
Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]
⇒[tex]200.96[/tex]
≈[tex]201[/tex]
Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]
⇒[tex]803.84[/tex]
≈[tex]804[/tex]
The shaded region replicates the semicircle. So,
Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]
⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]
⇒[tex]402-100.5[/tex]
⇒[tex]301.5 cm^{2}[/tex]
Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]
Learn more about circles here
https://brainly.com/question/1297097
#SPJ2
Expand logarithm equation
Answer:
6log_4(x) - 4log_4(y)
40% of what number is 43
Answer:
107.50
Step-by-step explanation:
107.50 times 40 percent is 43
Answer: the answer is 107.5
Step-by-step explanation:
use
is/of = %/100 the / are fraction
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
2.25
Step-by-step explanation:
CARL BUYS 4 ONT PINT CARTONS OF MILK. HE BUYS LESS JUICE THAN MILK. WHICH COULD BE THE AMOUNT OF JUICE.
Answer:
0 pints ≤ J ≤ 4 pints
Where J is the amount of juice that Carl bought.
Step-by-step explanation:
Here we need to learn how to use the inequality symbols.
Let's define each one of them:
A < B (A is strictly smaller than B)
A > B (A is strictly greater than B)
A ≤ B (A is smaller than or equal to B)
A ≥ B (A is greater than or equal to B)
A ≠ B (A is different than B)
Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.
Then the total amount of mil that he buys is 4 times one pint, this is:
4*1 pint = 4 pints
He has 4 pints of milk.
And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:
J < 4 pints
This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)
If we want to be more correct, we should write:
0 pints ≤ J ≤ 4 pints
Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)
Hi! Please explain how you got your answer, thank you so much! :))
How might doing math slowly help with problems that are difficult to understand or hard to solve?
Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?
A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.
I hope this helped!
~flipohrama
anyone know this?????
Answer:
WZX=57
Step-by-step explanation:
90-33 = 57
You don't have to use the equation unless you want to check yourself.
Four people have measured the height of a wall using different methods. Their results are shown in the table. Order their measurements from least to greatest
Answer:
5/2, 2.6, 1 + sqrt(3), sqrt(8)
Step-by-step explanation:
Use a calculator:
sqrt(8) = 2.83
5/2 = 2.5
2.6 = 2.6
1 + sqrt(3) = 2.73
Answer:
5/2, 2.6, 1 + sqrt(3), sqrt(8)
what is the greatest common factor (GCF) of 88 and 132?
Solve for X. Will give brainliest!
Answer:
57.6
Step-by-step explanation:
Parallel lines cut by transversals have proportional segments.
25/30 = 48/x
25x = 30 * 48
25x = 1440
x = 57.6
1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob
OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC
Answer:
Um what’s this language?
Step-by-step explanation:
Tenemos 2 triangulos donde sus angulos mieden 46 y 66 respectivamente, y el lado adyacente a ellos mide 15cm, el criterio de congruencia es
Answer:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.
Step-by-step explanation:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.