Answer:
[tex]x=\frac{27}{10}[/tex]
Step-by-step explanation:
Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]
Now, we can multiply each side by 60, which will remove the fractions
[tex]30x-12=20x+15[/tex]
Now we can add 12 to each side
[tex]30x=20x+27[/tex]
Now subtract 20x from each side
[tex]10x=27[/tex]
And lastly, divide each side by 10
[tex]x=\frac{27}{10}[/tex]
Work out 4 x (1+5-8)
Answer:
-8
Step-by-step explanation:
1+5=6
6-8=-2
4x-2=-8
Answer:
8
Step-by-step explanation:
if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positiveWhich of the following equations have infinitely many solutions? Choose all answers that apply:
Answer:
Options B, C and D.
Step-by-step explanation:
Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;
-19x -19 = -19x-19
Add 19 to both sides of the equation to get rid of -19
-19x -19 +19 =-19x -19 +19
Divide both sides by -19
[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]
x = x
I NEED HELPPPPP!!! Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?
The answer is The third angle measures 120 degrees
Step-by-step explanation:
I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.
What is 2x^2-13x+15?
Answer:
(2x−3)(x−5)
Step-by-step explanation:
Factor 2x^2−13x+15
2x^2−13x+15
=(2x−3)(x−5)
hope this helps
-lvr
Answer:
Factored: (2x-3)(x-5)
Solving with quadratic formula: X= 5, 3/2
Step-by-step explanation:
y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
Answer:
y= 201/40
Step-by-step explanation:
y=k (x÷z)
5 = (3÷4)k
cross multiply
20=3k
k= 6.7 or 67÷10
y = 6.7 (x÷z) the law
y = (6÷8) × 6.7
y = 0.75 ×6.7
y= 5.025 or 201÷40
a) (7x10^5)x(3x10^2) in standard form b) (2x10^5)/(4x10^2) in standard form
The given expressions written in standard form are;
A) 21 × 10⁷
B) 5 × 10²
This is about expression of given algebra in standard form making use of laws of indices.
A) We are given;
(7 × 10⁵) × (3 × 10²)
Now according to the law of indices, when we want to multiply 2 numbers with same bases and different exponents, we retain the bases and add the exponents.
Also, when we want to multiply 2 numbers with different bases and same exponent, we multiply the bases and retain the exponent.
Applying that to our question gives;
(7 × 3)¹ × (10)⁽⁵ ⁺ ²⁾
⇒ 21 × 10⁷
B) We are given;
(2 × 10⁵)/(4 × 10²)
According to the law of indices, when we want to divide 2 numbers with same bases and different exponents, we retain the bases and subtract the exponents.
Also, when we want to divide 2 numbers with different bases and same exponent, we divide the bases and retain the exponent.
Thus;
(2/4)¹ × (10)⁽⁵ ⁻ ²⁾ = 0.5 × 10³
0.5 can also be expressed as; 5 × 10⁻¹
Thus, 5 × 10⁻¹ × 10³ = 5 × 10²
Read more at; brainly.in/question/18681990
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
180 meters
Step-by-step explanation:
The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).
So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.
-5(x-8)(x+4)
-5(x^2+4x-8x-32)
-5(x^2-4x-32)
-5x^2-20x-160
Vertex formula is: -b/2a
b = 20
a = -5
[tex]\frac{-20}{2(-5)}[/tex]
= 2
The x-coordinate of the vertex is 2.
Plug 2 into the equation
-5(2)^2+20(2)+160
= 180 meters
When will 4a ≤ 16 be true?
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
The complete question is;
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm. Option D is the correct answer
Step-by-step explanation:
From the image, the diagonals of the parallelogram bisect each other. Thus;
AE = EC and BE = ED
We are given that;
DE = 3y + 6 cm and BE = 5y - 10 cm, thus;
3y + 6 = 5y - 10
Rearranging, we have;
5y - 3y = 6 + 10
2y = 16
y = 16/2
y = 8 cm
The brace that bisects point B and D is BD. So, BD = BE + DE
So, BD = 5y - 10 + 3y + 6
BD = 8y - 4
Putting 8 for y to obtain;
BD = 8(8) - 4
BD = 64 - 4
BD = 60cm
Answer:
60 cm
Step-by-step explanation:
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
Pythagorean theorem plsssss
Step-by-step explanation:
pythagorean theorem states
c²=a²+b² where c is the longest line a is the base while b is the height thus
example
1)c²=a²+b²
12²=a²+8²
144=a²+64.
144-64=a²
80=a² a=√80. =8.9
2)c²=a²+b²
15²=4²+b²
225=16+b²
225-16=b²
209=b² b=√209. =14.45
3)c²=a²+b²
c²=5²+9²
c²=25+81
c²=106. c=√106. =10.295
I hope you have understood I will do the other ones simply
4)26²=18²+a²
676-324=a²
√352=a. a=18.761
5)10²-6²=b²
100-36=b² b²=64. b=8
6)c²=12²+9²
=144+81.
c² =225. c=15
1...
Formula= A=C^2-B^2
A=12^2-8^2
A=144-64
144-64=80
√80 = 8.944
Rounded = 8.9
2...
Formula= A=C^2-B^2
A=15^2-4^2
A= 225-16
225-16=209
√209= 14.456
Rounded= 14.5
3...
Formula= A^2+B^2=C^2
9^2+5^2=C^2
81+25=106
√106= 10.295
Rounded= 10.3
4...
Formula= A^2=C^2-B^2
A^2= 26^2-18^2
A^2=676-324
676-324=352
√352=18.761
Rounded= 18.8
5...
A^2=C^2-B^2
A^2=10^2-9^2
100-91=9
√9=3
6...
Formula= A^2+B^2=C^2
9^2+12^2=C^2
81+144=225
√225=15
Code= 8.9, 14.5, 10.3, 18.8, 3, 15.
Help please !!!!!!!!!!!!!!!!!!!!!!!
Answer:
∠J and ∠K form a linear pair.
Step-by-step explanation:
If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.
"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref
Please help me asap!
Answer:
x value is 10 as per as the question its value is 10
i think of a number, add 3 to it and multiply the result by 7.
Answer:
[tex]7(x + 3)[/tex]
Step-by-step explanation
thinked number = x
add 3 = +3
[tex]x + 3[/tex]
multiply the result by 7
[tex]7( x+ 3)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
(3 1/4 + 2 5/6) + 1 3/4
19/6
Step-by-step explanation:
3/4 + 5/3 +3/4
3/4 + 3/4 = 3/2
3/2 + 5/3 =19/6 or 3.16....
find the length of each side of a square field whose area is 608 sq.m
Answer:
a=24.65 sq.m
Step-by-step explanation:
A=[tex]a^{2} or l^{2}[/tex]
608=[tex]a^{2}[/tex]
[tex]a=\sqrt{608}[/tex]
[tex]a=24.65[/tex]
To check your answer
[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]
Anybody please do e for me please
Answer:
1. 200 cm
2. 2463.01 cm
3. 1275 cm
4. 346.67 cm
5. 1526.81 cm
Step-by-step explanation:
volume for square is l times w times h
volume for cylinder is pi times r times 2 times h
volume for square pyramid is a2h/3
volume for rectangular pyramid is l times w times h divided by 3
Mark the statements that are true.
A. An angle that measures
radians also measures 30°.
pi/6
O B. An angle that measures pi/3
radians also measures 45°
O C. An angle that measures 180° also measures pi radians.
D. An angle that measures 30° also measures pi/radians.
Answer:
Correct answers:
A. An angle that measures [tex]\frac{\pi}{6}[/tex] radians also measures [tex]30^o[/tex]
C. An angle that measures [tex]180^o[/tex] also measures [tex]\pi[/tex] radians
Step-by-step explanation:
Recall the formula to transform radians to degrees and vice-versa:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]
Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex] radians angle, then its degree formula becomes:
[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]
also when an angle measures [tex]180^o[/tex] , its radian measure is:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]
The other relationships are not true as per the conversion formulas
Answer:
the person abive is correct jzt to confirm
Given r,s,t are midpoints of AC,AB, and CB use the figure below to complete the following problem
Answer:
The first option, RT.
Step-by-step explanation:
I NEED HELP! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER + 30 POINTS!!!!
Answer:
l = 20 cm
w = 12 cm
Step-by-step explanation:
P = 64 = 2w + 2l
2w = 4 + l
64 = 4 + l + 2l
64 - 4 = 3l
3l = 60
l = 20 cm
2w = 20 + 4
2w = 24
w = 12 cm
An aeroplane covers a distance of 1500km in a certain time at a certain speed.After increasing the speed by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time. Find the previous speed of the aeroplane.
this is from quadratic equations CBSE grade 10
please answer ASAP
Answer:
previous speed of the aeroplane is 500 km/hr
Step-by-step explanation:
Given: Distance covered by aeroplane = 1500 km
It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr
To find: previous speed of the aeroplane
Solution:
Let x denotes the previous speed of the aeroplane.
Time taken by an aeroplane if speed is x km/hr = distance/speed = [tex]\frac{1500}{x}[/tex] hours
If speed is increased by 100 km/hr, new speed = (x + 100) km/hr
Time taken by an aeroplane if speed is (x + 100) km/hr = [tex]\frac{1500}{x+100}[/tex] hours
According to question,
[tex]\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\[/tex]
[tex]x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600[/tex]
As speed can not be negative, [tex]x=-600[/tex] is rejected.
So,
previous speed of the aeroplane is 500 km/hr
One question in a survey about what kind of cars people prefer to drive is: “Would you prefer a ‘soccer Mom’ minivan or a ‘cool Mom’ convertible?” This question contains: A.bias B.errors C.statistics D.data PLEASE HELPPPPPP
Answer:
Bias.
Step-by-step explanation:
It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.
Answer:
I hope this helps.
Step-by-step explanation:
plzz answer this qustion i will make brainliest
Answer:
By the Pythagorean Theorem
[tex]DB=\sqrt{AD^2+AB^2}=\sqrt{8.9^2+17.6^2 } =19.72232[/tex]
In the figure triangles ABD(red) and ADE(green) are similars because:
AED=DAB=90
ADE common angle
Then [tex]\frac{AD}{BD}= \frac{AE}{AB}=\frac{DE}{AD}[/tex]
[tex]b=AE=\frac{AD\times AB}{BD}= \frac{8.9\times 17.6}{19.72}=7.94227[/tex]
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below. Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $___ . The florist will break-even after ______ one-dollar decreases. The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (___,____).
Answer:
First space: 15
Second space: 20
Third space: 0
Fourth space: 20
Step-by-step explanation:
If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:
P(x) = (20 - x)*(30+3x)
P(x) = 600 +30x - 3x2
The vertical axis of the graph represents the profit P(x) of the florist.
So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15
Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)
The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.
Answer:
675
20
(0,20)
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(s). The area of one triangular face is 7.58.1251517 mm2. The surface area of the triangular prism is 55.5127.5135150 mm2.
Corrected Question
The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.
The area of one triangular face is 7.5,8.125,15,or 17 [tex]mm^2[/tex]
The surface area of the triangular prism is 55.5,127.5,135,or 150 [tex]mm^2[/tex]
Answer:
(B)2 triangular faces
(C)3 lateral faces.
(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]
(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Step-by-step explanation:
The triangular prism is attached.
The triangular prism shown has 2 triangular faces and 3 lateral faces.
Base of the triangle =2.5mm
Height of the Triangle =6mm
Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]
The dimensions of the lateral rectangles are:
2.5 mm by 8mm6 mm by 8mm6.5 mm by 8mmTherefore, total surface area of the triangular prism
=2(Area of one Triangular Face)+Area of 3 rectangular faces
[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]
Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Answer:
A....2
B....3
C.....7.5
D......135
Step-by-step explanation:
Describe ways you could look at two shapes and tell that one is not the image of the other under a rigid transformation
Answer:
see below
Step-by-step explanation:
a rigid transformation preserves lengths and angles
if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation
if the corresponding angles are the same that works too
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answer:
The answer is 7x²
Step-by-step explanation:
Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 26
miles per gallon on the highway if your average speed is 45
miles per hour, and it averages 18
miles per gallon on the highway if your average speed is 65
miles per hour. Answer parts (a) and (b) below.
a. What is the driving time for a 2500
-mile
trip if you drive at an average speed of 45
miles per hour? What is the driving time at 65
miles per hour?
Answer:
Step-by-step explanation:
Suppose the car mileage actually varies slightly with the driving speed of the car
Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,
and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.
The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.[/tex]
The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.[/tex]