Answer:
the answer is 20
Step-by-step explanation:
let the number be "x"
1st part = 2/5of x
2nd part = 1/4 of x
=) 2/5 x - 1/4 x = 3
=) lcm of 4 ,5 is 20
=) ( 2x * 4 ) - ( 1x *5) by 20 =3
=) 8x - 5x / 20 =3
=) 3x / 20 =3
=) 3x = 3 *20
=) 3x = 60
=) x = 60 /3
=) x = 20
the number is 20
Answer: 20
Step-by-step explanation:
2/5x -1/4x = 60
Multiply by 20 on both sides,
8x - 5x = 60
3x = 60
x = 60/3 = 20
[tex] ({3x}^{2} + 2x + 1) + ( {2x}^{2} - 4x - 5) + (3x - 1)[/tex]
Answer:
[tex]5x^2+x-5[/tex]
Step-by-step explanation:
[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]
Hope this helps!
20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me
Answer:
k = 0.086
Step-by-step explanation:
We have the equation
y=ne^(-kt)
where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.
We know the following data:
t: 8 hoursy = n/2 (half of a radioactive element remains)Replacing into the equation and solving for k:
[tex]y=ne^{-kt}[/tex]
[tex]\frac{n}{2}=ne^{-k8}[/tex]
[tex]0.5=e^{-k8}[/tex]
[tex]ln(0.5)=ln(e^{-k8})[/tex]
[tex]ln(0.5)=-k8ln(e)[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]k = 0.086[/tex]
In a parallelogram, both paires of oppsite sides are parallel? true or false
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
True bc both paired of opposite sides are parallel
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
How would you solve this I’m confused
Answer:
[tex]x=8.5^o[/tex]
Step-by-step explanation:
Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.
So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:
[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]
Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:
[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]
What is the equation of the line that is perpendicular to the linear
graph of y= -2/3x+5 and passes through the point (0, -2)?
Answer:
y=3/2x-2
Step-by-step explanation:
gradient line 1= -2/3
perpendicular meaning gradients when multiplied should be -1
gradient line 2=3/2
y+2=3/2
x-0
y+2=3/2(x-0)
y+2=3/2x-0
y=3/2x-2
The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)
The standard equation of a line is y = mx+c, where m is the slope of the line.
We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,
Therefore, the slope of the asked line is 3/2.
Finding the c,
-2 = 3/2X0 + c
c = -2
Therefore, the equation will be,
y = 3x/2-2
Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2
For more references on slope, click;
https://brainly.com/question/3605446
#SPJ2
Find the value of x to the nearest degree.
Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
Calculate the slope between the points (5,2) and (1,-6).
Answer:
2
Step-by-step explanation:
The slope formula is change in y over change in x, in this case it's [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]
Answer:
go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6
Step-by-step explanation:
i cant get the symbold so i had to do it like this :)
Answer:
b
Step-by-step explanation:
Which graph represents the function h(x) = [X1 +0.5?
12
V
2
1
2
-2
Answer:
Actually, if you graph it the correct answer is the third option, not the first
Trust me I got 100%
HELP ASAP!!!! There is a clip below.
Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
Sue wants 1/2 of a rectangular pan of cornbread. Dena wants 1/3 of the same pan of cornbread. How should you cat the cornbread so that each of the girls gets the size portion she wants?
Answer:
in thirds so Dena gets 1/3 and Sue gets 2/3 which is half
Step-by-step explanation:
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]
= -[tex]\frac{16}{8}[/tex]
= -2
and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]
= [tex]-\frac{40}{8}[/tex]
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation:
The diameter of a cylinder is 10 feet. The height of the cylinder is 15 feet. What is the approximate volume of the cylinder rounded to the nearest cubic foot? Use 3.14 for π.
Answer:
1,178 cubic feet
Step-by-step explanation:
volume of cylinder is given by following formula
volume = [tex]\pi r^2l[/tex]
where r is the radius for cylinder and l is the height of cylinder.
____________________
given
diameter of cylinder = 10 feet
radius is half diameter
thus, radius = diameter/2 = 10/2 = 5 feet
height of the cylinder = 15 feet.
[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]
Thus, volume of cylinder is 1,177.5 cubic feet
volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.
Which of the following points is a solution to y ≤ −2x + 3?
above; y = 2x − 2
below; y = 2x − 2
above; y = −2x + 2
below; y = −2x + 2
Answer:
d; below; y = −2x + 2
Step-by-step explanation:
the equality ≤ means left to right that y is equal or less than. We see that 2 is equal or less than 3.
We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.
Answer:
B (1,0) hope this helps :)
What is the slope of the line that passes through the points ( 4 , − 2 ) (24,−17)? Write your answer in simplest form.
Answer:
-3/4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (-17- -2)/(24-4)
= (-17+2)/ (24-4)
= -15/20
= -3/4
Answer:
y=-3/4x+1
Step-by-step explanation:
what’s the best answer ?????
Answer:
zero
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The line is horizontal and parallel to the x- axis
Since the x- axis has a slope of zero then the line has a slope of zero.
Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?
Answer:
Coordinates of M = [tex]\left ( -2,4 \right )[/tex]
Step-by-step explanation:
Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)
To find: coordinates of M
Solution:
According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]
Therefore,
[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]
a garden has the lengths of 11m,8m,19m and 10m work out the area
Answer:
A(lawn) = 68 m²
Step-by-step explanation:
A(lawn) = Agarden - Aflower - Avegetables
= 10m×14m - 3m×8m/2 - (5m+7m)×10m/2
= 140m² - 12m² - 60m²
= 68 m²
A(rectangle) = w × h
A(triangle) = ½ × b × h
A(trapeze) = ½(B+b) × h
Evaluate the following expression.
6
Step-by-step explanation:
first change it to fraction
1/6
use long division method to simplify
you will get
0.66666666666
leave your answer in 2 place decimal
0.167
Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1
Answer:
D
Step-by-step explanation:
I need help finding the area of the triangle plz. sorry I don't understand fractions that much
Answer:
[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]
Step-by-step explanation:
Area of right triangle formula is
[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
I appreciate all of the help! I need help again so sorry :(
Answer:
46
Step-by-step explanation:
44+x=90
x=46
Answer:
46 degrees
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
a+b=90
44+b=90
b=90-44
b=46 degrees
Hope this helps!
What is the maximum value of the function y = 5cos2x ?
(1) 5 (2) 2 (3) -5 (4) -2
Answer:
3. -5
Step-by-step explanation:
Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384
Answer:
x < 6
Step-by-step explanation:
8x + 6 < 54
Subtract 6 from each side
8x+6-6 < 54-6
8x < 48
Divide each side by 8
8x/8 < 48/8
x < 6
Solve 11x + 4 = 3x + 52 need this
______________________________
Hey!!
Solution,
11x+4=3x+52
or,11x-3x=52-4
or,8x=48
or,X=48/8
X=6
So, the answer is 6.
Hope this helps...
Good luck on your assignment
_____________________________
Answer:
11x+4=3x+52
11x-3x=52-4
8x=48
8x÷8=48÷8
x=6
the answer is x=6
If a=-3/2 b=5/4 and c=7/8 prove that a(b+c) = ab +ac.
Thank you in advance
Answer:
You would figure this out by the method of substitution
Step-by-step explanation:
a= -3/2
b= 5/4
c=7/8
a(b+c) = a(b)+a(c)
Substitute
-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)
-51/16 =-51/16
Given what is the domain in set notation? {x|x ∈ R, x ≥ 4} {x|x ∈ R, x ≤ 4} {x|x ∈ R, x ≥ 2} {x|x ∈ R, x ≤ 2}
Answer:
A
Step-by-step explanation:
answer on edg 2020
Solve 13+x>11. Enter your answer as an equality
Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2