HELP!! IMPORTANT!! PLEASE HELP!!
John checked his answer and found that it was incorrect. John’s work is below. What did he do incorrectly?
ℎ + 10 = 25
ℎ + 10 + 10 = 25 + 10
ℎ = 35
Please list everything he did incorrectly! Thank you!!
Answer:
he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable
Step-by-step explanation:
Simplify the following 3 x a x 2 x b
Answer:
6 times ab
Step-by-step explanation:
3 times 2 = 6
a times b = ab
Answer:
6ab
Step-by-step explanation:
Onsider the enlargement of the triangle with a scale factor of 8 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Side A corresponds with a side with length of 2 centimeters. Side A = 2(8) = 16 cm. What is the length of side B?
Answer: Incomplete question
Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining this topic which is SIMILAR TRIANGLES.
When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.
Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.
The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.
Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.
These can be expressed mathematically as follows;
If A = 16, a = 2 and b = 10 then B would be calculated as follows;
A/a = B/b
16/2 = B/10
By cross multiplication, you now have
16 * 10 = 2 * B
160/2 = B
80 = B
Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.
Answer:
its 40 because the dude above is an but face (sorry) (not sorry u suk)
Step-by-step explanation:
welcum
using tje logarithm find the square of 86.46
Expand and simplify . 7x(5y-8)+3y(12x+9) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
[tex]answer \\ 71xy - 56x + 27y \\ solution \\ 7x(5y - 8) + 3y(12x + 9) \\ = 35xy - 56x + 36xy + 27y \\ combine \: like \: terms \\ = 35xy + 36xy - 56x + 27y \\ = 71xy - 56x + 27y \\ hope \: it \: helps[/tex]
Answer:
[tex] = 71xy - 56x + 27 \\ [/tex]
Step-by-step explanation:
[tex]7x(5y - 8 )+ 3y(12x + 9) \\ 35xy - 56x + 36xy + 27 \\ 35xy + 36xy - 56x + 27 \\ = 71xy - 56x + 27[/tex]
hope this helps
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
Answer:
Step-by-step explanation:
If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.
Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:
__________
2x - 3 | [tex]6x^2+x-15[/tex]
First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later). 2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:
3x_______
2x - 3 | [tex]6x^2+x-15[/tex]
Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:
3x________
2x - 3 | [tex]6x^2+x-15[/tex]
6x^2-9x
At this point we change the signs and have
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 +9x
And then we add and bring down the -15:
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now we wwill multiply the 5 by both the 2x and the -3 and subtract:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
- 10x + 15
Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.
That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2. :/
Share £45 in the ratio 4:5
Answer:
20 : 25
Step-by-step explanation:
A : B : total
4 : 5 : 4+5 = 9
We want to share 45
45/9 = 5
Multiply each share by 5
A : B : total
4*5 : 5*5 : 9*5
20 : 25 : 45
PLZ PLZ HELP QUICK VERY QUICK PLZ PLZ
Find the area of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Pi*5 squared= 78.5 (rounded to 1 decimal place)
78.5/2=38.25
I divide it by two becAuse it is a semi circle
Answer=38.25
Answer:
It is 39.25
Step-by-step explanation: Khan Academy
Michael's checking account balance was $345. Michael withdrew $160 three times. What is his balance now?
Answer:
The answer is -135
Step-by-step explanation:
We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).
Then, we do 480 minus 354 which is -135.
Why does no one answer my questions in Brainly? If you're good at math, please look at my recent questions and answer them if you know it. Now, below is one of the questions that I am struggling with. Please help!
Answer:
1st one: 7920 second: 792
Step-by-step explanation:
First way: you can use a calculator and plug in the values
Second way: you can use the formula for combination and permutation.
Permutation: 11!/ (11-4)!
Combination:12!/(12-5)!*5!
NOTE THAT: 5!= 5*4*3*2*1
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. Percent increase ≈ %
Answer:
The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.
However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.
Step-by-step explanation:
Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.
The percentage increase = (y/x) × 100
= z%
That is,
Percentage increase = [(New volume) ÷ (Old volume)] × 100
The resulting value, z% is the percentage increase.
PLease answer as soon as possible
Answer:
No
Step-by-step explanation:
Every x value in the domain should only have 1 y value. In the graph, for x=5 (the input) there are 2 y values (6 and -6) so this is not a function.
Answer:
no
Step-by-step explanation:
it fails the vertical line test. there is more than 1 y value per x value
In ΔJKL, the measure of ∠L=90°, KL = 6 feet, and JK = 7 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
40.6 degrees
Step-by-step explanation:
We know:
KL = 6
JK = 7
Angle L = 90 degrees
So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :
[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]
We can find angle K with the following equation:
[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]
Answer:
31
Step-by-step explanation:
\cos K = Adj/Hyp = 6/7
cosK= 7/ 6
K=\cos^{-1}(6/7)
K=cos −1 ( 6/7 )
K=31.0027≈31
Can someone help me it’s geometry I will really appreciate it :,)
Answer:
LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES
-4
Step-by-step explanation:
what is the scale factor of polygon qrstu to poligon defgh
Answer:
A
Step-by-step explanation:
Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.
[tex]\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}[/tex]
Therefore, the correct answer is choice A. Hope this helps!
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]
Solve the equation 2x^2 – 3x – 5 =
10x to the nearest tenth.
Answer:
Step-by-step explanation:
if c=12 and d=9 , what is 82-4c+d
Answer:
43
Step-by-step explanation:
multiply 4 x c(12)=48
then just plug it in and solve
82-48=34
34+9=43
Find the sum of the first 44 terms of the following series, to the nearest integer. 10, 14,18,...
Answer:
4224
Step-by-step explanation:
Here, we want to calculate the sum of the first 44 digits
Term a which is first digit is 10
common difference which is difference of terms = 14-10 = 18-14 = 4
Now the nth term of an arithmetic sequence is
a + (n-1)d
44th term means n = 44
10 + (44-1)4
10 + 43(4)
10 + 172 = 182
To find the sum, we use the formula
Sn = n/2[a + L]
where a is the first term and L is the 44th term
Sn = 44/2 (10 + 182)
Sn = 22(192)
Sn = 4,224
Frank decided to lease a $20,000 car for three years instead of buying the car and financing it with a loan. At the end of three
years, the car was worth $11,000. How much did Frank receive when he returned the car to the dealership?
A. He received $0 and will have to cover the cost of any damages that have been done to the car.
B. He received $11,000, less the cost of any damages that have been done to the car.
C. He received whatever amount of money the dealer was able to get selling the car as a used car.
D. He received half of what the dealer got from the sale of the used car.
Answer:
a
Step-by-step explanation:
(08.01 LC)
Find the circumference and area of a circle with a diameter of 10 inches. Leave your
answers in terms of pi.
O C = 51: A = 20
O C = 10; A = 20
O C = 10; A = 25T
O C = 5T; A = 2511
Answer:
Area = πr^2
= π * 5^2
= 25π
Circumference = 2πr
= 2 * π * 5
= 10π
Answer:
C= 10, A= 25
Step-by-step explanation:
d= 10 in
r= d/2= 5 in
C= 2πr= 2π*5= 10 π in
A= πr²= π*5²= 25 π in²
Connie started with___
in her saving account
Fill in the blank
Answer:
Connie started with $25 in her savings account.
Step-by-step explanation:
The y-intercept is the value of the function at time zero.
At x = 0, which is week zero, when Connie opened the account, the y value is 25. That means she opened the account with $25.
Answer: $25
Answer:
25
Step-by-step explanation:
Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.
Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.
What type of figure is quadrilateral FXYH?
Answer:
Isosceles trapezoid
Step-by-step explanation:
The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.
Answer:
trapezoid
Step-by-step explanation:
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.
Answer:
Average speed of boat = 3.67 km/h
Average speed of stream = 0.63 km/h
Step-by-step explanation:
30 km upstream in 10 hours gives a speed of 30/10 = 3 km/h relative speed of boat and stream
Same way, 44 km in 10 hrs = 4.4 km/h relative speed of boat and stream.
Let the speed of the stream be y
Let the speed of both be x, then
x - y = 3.... (1)
x + y = 4.4.... (2)
Subtract 1 from 2
2y = 1.4
y = 1.4/2 = 0.7 km/h
substitute value of y in 1
x - 0.7 = 3
x = 3.7 km/h
Also, 40 km upstream in 13 hrs gives speed of 3.08 km/h
55 km in 13 hrs gives 4.2 km/h
Let speed of boat be x and that of stream be y
x - y = 3.08.... (1)
x + y = 4.2..... (2)
Subtract 1 from 2
2y = 1. 12
y = 0.56 km/h
Substitute value of y in 1
x - 0.56 = 3.08
x = 3.64 km/h
Average speed of boat = (3.7 + 3.64)/2
= 3.67 km/h.
Average speed of stream = (0.7 + 0.56)/2 = 0.63 km/h
Answer:
Let the speed of boat in stream be x km/hrAnd the speed of boat in still water be y km/hr.For upstream = x - yFor downstream = x + yAs we know that,
[tex]\bigstar \: \: \sf Time = \dfrac{Distance}{Speed} \\ \\ [/tex]
[tex]\bigstar\:\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[tex]
[tex]:\implies \sf \dfrac{30}{x - y} + \dfrac{44}{x + y} = 10 \\ \\ \\ [/tex]
[tex]:\implies \sf \dfrac{40}{x - y} + \dfrac{55}{x + y} = 13 \\ \\ \\[/tex]
[tex]\sf Let \: \dfrac{1}{x - y} = \textsf{\textbf{m}} \sf \: \: and \: \: \sf{\dfrac{1}{x + y} = \textsf{\textbf{n} }}\\ \\ \\[/tex]
[tex]:\implies \sf 30m + 44n = 10\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (i)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]:\implies \sf 40m + 55n = 13\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (ii)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny \underline{\frak{ Multiply \: equation \: (ii) \: by \: 3 \: and \: equation \: (i) \: by \: 4 :}} \\[/tex]
[tex]:\implies \sf 120m + 176n = 40\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iii)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]:\implies \sf 120m + 165n = 39\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iv)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny \underline{\frak{ Substracting \: equation \: (iii) \: from \: equation \: (iv) \: we \: get :}} \\[/tex]
[tex]\sf 120m + 176n = 40 \\ \\
\sf 120m + 165n = 39 \\ \\ [/tex]
[tex]\sf \: \: ( - ) \:\:\: \: \: ( - ) \: \: \: \: \: \: \: ( - ) [/tex]
_____________________
[tex]\: \: \: \: \qquad\sf 11n= 1 \\[/tex]
[tex]\: \: \: \: \: \qquad\sf n= \dfrac{1}{11} \\ \\ [/tex]
[tex]\qquad\tiny {\frak{ Put\: n = \dfrac{1}{11}\:in\:equation \: (i) \: we \: get :}} \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m + 44 \times \dfrac{1}{11} = 10 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m= 10 - 4 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m= 6 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf m= \dfrac{6}{30} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf m= \dfrac{1}{5} \\ \\ \\[/tex]
____________________....[tex]\dashrightarrow\:\:\sf \dfrac{1}{x - y} = m\\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf x - y= 5\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (v)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf \dfrac{1}{x + y} = n\\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf x + y= 11\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (vi)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny {\frak{Adding\:equation \: (v) \: and \: equation \: (vi) \: we \: get :}} \\[/tex]
[tex]:\implies \sf 2x = 16 \\ \\ \\[/tex]
[tex]:\implies \underline{ \boxed{ \textsf {\textbf{x = 8 km/hr}}}} \\ \\[/tex]
[tex]\qquad\tiny {\frak{Putting\:x = 8\: in \: equation \: (v) \: we \: get :}} \\[/tex]
[tex]:\implies \sf 8 - y = 5 \\ \\ \\ [/tex]
[tex]:\implies \sf y = 8 - 5 \\ \\ \\[/tex]
[tex]:\implies \underline{ \boxed{ \textsf {\textbf{y = 3 km/hr}}}} \\ \\[/tex]
_________________....[tex]\bigstar\:\underline{\sf{Therefore\: speed\: of \:boat\: in\: still \:water\: and\: speed\: of\: stream:}} \\[/tex]
[tex]\bullet\:\:\textsf{Speed of boat in stream = \textbf{8 km/hr}}\\[/tex]
[tex]\bullet\:\:\textsf{Speed of boat in still water = \textbf{3 km/hr}}\\[/tex]
Which of the following points does not lie in the solution set to the inequality y = 1/3x + 5?
A) (6,3)
C) (-3,8)
D) (12,3)
B is wrong
Answer:
The answer is A: (3,6)
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.
Answer:
[tex]1+6i[/tex]
Step-by-step explanation:
The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.
Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.
Which expression is equivalent to
Answer: 4 and 10/12
Step-by-step explanation:
2 x 2= 4
[tex]1/2 X 3/4=2/2+ 3/4= {5/6} x 2= 10/12[/tex]
An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
The equation x2 − 9 = 0 has real solution(s).
Answer:
The roots are real and unequal (3, -3)
Step-by-step explanation:
x²-9=0
ax²+bx+c=0
Comparing we get,
a= 1
b= 0
c = -9
Determinant: b²-4ac
= 0² - 4(1)(-9)
= 36>0
D > 0
Therefore, the equation has real and unequal roots.
Algebraic identity:
x² - a² = (x-a)(x+a)
Using this identity
x²-9 = (x+3)(x-3)
Roots are 3 and -3 which are real and not equal to each other
Hope this answer helps you ..
Answer:
2 real solutions
Which graph represents the solution set to the following system of linear inequalities? y <= 2x + 7 y > - 1/3 * x - 2
A linear inequality seems exactly like a linear equation where the inequality sign is replaced by the equality sign.
Solution set is the dark region enclosed by both inequality equation shown in attached graph.
Given inequality are, [tex]y\leq 2x+7,y>-\frac{1}{3}x-2[/tex]
By using graphing tool, draw graph of both inequality.
The dark region enclosed by both inequality equation shown in attached graph is solution set for given equation.
Learn more:
https://brainly.com/question/21130875