Answer:
20 and 55
Step-by-step explanation:
Let's assume, we have two numbers 'x' and 'y'.
Now, all we know is:
one number exceeds the other by 35 (i.e their difference is 35)sum of two numbers is 75So we form two equations:
x + y = 75_____(i)
and x - y = 35
so, x = y+35 _____(ii)
Put the value of x from (ii) into (i)
x + y = 75
y + 35 + y = 75
2y = 40
y = 20
Put value of y back in (ii)
x = y+35
x = 20 + 35
x = 55
The first number is 20, and the second number is 55.
Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.
Let's assume the first number is x.
According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).
The sum of the two numbers is given as 75, so we can set up the equation:
x + (x + 35) = 75
Simplifying the equation, we get:
2x + 35 = 75
Subtracting 35 from both sides:
2x = 40
Dividing both sides by 2:
x = 20
Therefore, the first number is 20, and the second number is (20 + 35) = 55.
Learn more about numbers click;
https://brainly.com/question/24908711
#SPJ4
Geometry, please answer question ASAP
Answer:
It's 5 which is A.
Step-by-step explanation:
Simplify the following equation
4−8÷2+3
Hi there!
»»————- ★ ————-««
I believe your answer is:
3
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
ef is the median of trapezoid abcd (please explain the answer im so confused lol)
Step-by-step explanation:
Okay, so...
The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.
In other words,
EF = ( BC + AD ) / 2
So for part 1, we can use that equation to find x.
[tex]EF = ( BC + AD ) / 2[/tex]
Insert known equations.[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]
Simplify within parentheses.[tex]4x-18=[x+12+3x-4]/2[/tex]
[tex]4x-18=[x+3x+12-4]/2[/tex]
Add.[tex]4x-18=[4x+8]/2[/tex]
Divide.[tex]4x-18=2x+4[/tex]
Simplify.[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]
[tex]2x=22[/tex]
Divide both sides by 2.[tex]x=11[/tex]
Part 2 is a lot easier now. All we have to do is plug in 11 for x.
[tex]BC =x+12[/tex]
[tex]BC = 11+12[/tex]
[tex]BC = 23[/tex]
-
[tex]AD = 4x-18[/tex]
[tex]AD = 4(11)-18[/tex]
[tex]AD = 44-18[/tex]
[tex]AD = 26[/tex]
-
[tex]EF = 3x-4[/tex]
[tex]EF = 3(11)-4[/tex]
[tex]EF = 33-4[/tex]
[tex]EF = 29[/tex]
Answer:
Part I: x = 11
Part II:
BC = 23AD = 26EF = 29
The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP
Answer:
A. 75.40 m³
Step-by-step explanation:
Diameter of cylinder (d) = 4 m
Radius (r) = ½(d) = ½(4) = 2 m
Height (h) = 3 × r = 3 × 2 = 6 m
Volume of cylinder = πr²h
Substitute the values
Volume of cylinder = π*2²*6
Volume of cylinder = π*4*6
Volume = π*24
Volume = 75.40 m³
Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!
Answer:
54
Step-by-step explanation:
The perimeter is the sum of the outside
P = 8+4+5+10+( 4+10) +(8+5)
P = 54
URGENT HELP PLS AND THANK U
Answer: a= 1
Step-by-step explanation:
a * b = b
Divide by “b” on both sides
a= b/b
“b/b” is equal to 1
a=1
Hope that helps
Lmk if you need a better explanation.
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
Must click thanks and mark brainliest
Consider function f. (-412 + 6.3 + 36, 1 < -2 15, 2 < I 4 Are the statements about the graph of function ftrue or false? true false 2 false The graph crosses the y-axis at (0.–15). The graph has a point of discontinuity at I = The graph is increasing over the interval (4, co) The graph is decreasing over the interval (-12, -2). false The domain of the function is all real numbers. false
Please help
Answer:
Behold.
Step-by-step explanation
The answer to the statement is 1)false 2) false 3) true 4) true and 5) false.
Given functions,f
1) For x ≤ -2: f(x) = -12 + 6x
2) For -2 < x < 1: f(x) = 41 - 15x
3) For x ≥ 1: f(x) = 31 - 4x
1) The graph crosses the y-axis at (0, -15).
This is false because if x = 0, the function value would be -12 + 6 * 0 = -12, not -15.
2) The graph has a point of discontinuity at x = 1.
This is false because the function is defined at x = 1 there is no space, so there is no point of discontinuity at x = 1.
3) The graph is increasing over the interval (4, ∞).
This is true because the coefficient of x in the function's expression is negative, showing that it is decreasing. Therefore, as x increases, the function values decrease.
4) The graph is decreasing over the interval (-12, -2).
This is true because the coefficient of x in the first piece of the function (-12 + 6x) is positive, showing an increasing trend. Therefore, as x decreases from -12 to -2, the function values increase.
Statement 5: The domain of the function is all real numbers.
This is false because the domain of the function is limited by the intervals in its definition. The function is defined differently for different intervals of x.
So, the answer to the statement is
1) false
2) false
3) true
4) true
5) false
Learn more about functions here:
https://brainly.com/question/31062578
#SPJ5
Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
#SPJ1
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
please click thanks and mark brainliest if you like :)
i need help asap im timed
Answer:-
Refer to attachment for the required solution.
Answer:
Step-by-step explanation:
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
Plzz help me with this question my class test is going on
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
100 points for you if you help me
Answer:
see below
Step-by-step explanation:
It is given that m<A +m<B = m<B + m<C. We can subtract angle B from each side using the subtraction property of equality. That leaves m<A = m<C We can use the symmetric property so that m<C = m<A
Answer:
[tex]thank \: you[/tex]
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
1)An average American human lives about 78.74 years. A survey gave an average time spent going to the bathroom to be 102 minutes per week. If there are 52 weeks in a year, 7 days in a week and 1 day is 24 hours, then how many minutes do Americans spend on the toilet in their life time?
2)How many minutes have you spent on going to the bathroom if you are at the age of 16?
75.072 divided by 9.6
Answer:
7.82
Step-by-step explanation:
I solved it
7(8+a)=189 please help and give me step by step
Answer: a = 19
Step-by-step explanation:
Given
7 (8 + a) = 189
Divide 7 on both sides
7 (8 + a) / 7 = 189 / 7
8 + a = 27
Subtract 8 on both sides
8 + a - 8 = 27 - 8
a = 19
Hope this helps!! :)
Please let me know if you have any questions
(4y¹²) (3y)
Please help me
Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id
Answer:
72
Step-by-step explanation:
The diameter is 24
pi is approximated by 3
The circumference is given by
C = pi *d
= 3 * 24
= 72
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
Help pls, I need Help :D
find the third proportional of 3 5 7
Answer: Third proportion is 21/5.
Step-by-step explanation:
Let the proportion be x
so,
3:5:x:7
so
3:5 = x:7
or, 3/5 = x/7
or, 21 = 5x
or, x = 21/5
Someone plz help me on this
Answer:
9²+x²=13²
81+x²=169
x²= 169-81
x²=88
X= 9.38
x=9.4[tex]x = \sqrt{88} [/tex]
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.
Answer:
the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243
Step-by-step explanation:
to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer
We have that The Next 3 patterns are
1/27,1/81,1/243
From the Question we are told that
Pattern. 9 ,3 ,1 ,1/3, 1/9
Generally
Using in inductive reasoning the pattern progresses as a function of dividing by 3
Therefore
The next three number are
[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]
[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]
[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]
Therefore
The Next 3 Numbers are
1/27,1/81,1/243
For more information on this visit
https://brainly.com/question/22923038?referrer=searchResults
Find the missing angle. Round your answer to the nearest tenth. PLS HURRY.
Answer:
x = 24.4°
Hope this helps... Have a good day!!
Tutorial
Emmy already owns 22 hair bands, and additional hair bands are priced at 1 for a dollar.
How much money does Emmy need to spend on new hair bands in order to own a total of
38 hair bands?
Answer:
16
Step-by-step explanation:
38-22=16
