Answer:
11: 12
Step-by-step explanation:
Let the number of oranges and pears Mr Lynch have initially be x and p respectively.
x -10= ½p
2(x -10)= p
p= 2x -20 -----(1)
Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.
p= 24
Substitute p= 24 into (1):
2x -20= 24
2x= 24 +20 (+20 on both sides)
2x= 44
x= 44 ÷2
x= 22
[tex] \frac{x}{p} = \frac{22}{24} [/tex]
[tex] \frac{x}{p} = \frac{11}{12} [/tex]
Thus the ratio of orange to pears in the beginning is 11: 12.
HELP ASAP ILL GIVE BRAINLIST
Construct the equation of the graph given. Label the intercept and categorize this graph a horizontal or vertical line.
Answer:
Horizontal line
Step-by-step explanation:
uehdjd
Compute the standard deviation of the following set of data to the nearest whole number:
8, 12, 15, 17, 18
14
03
04
13
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
[tex]\bar{x}=14[/tex] and use this to find the variance in the formula:
[tex]s^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex] it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
[tex]s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}[/tex]
Squaring this ensures us that we don't end up with zero, which would be useless.
[tex]s^2=\frac{36+4+1+9+16}{5}[/tex] so
[tex]s^2=13.2[/tex] which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
Find the value of x. Round the length to the nearest tenth.
Answer:
[tex]x=opposite\: side\: of \:22[/tex]
[tex]16=hypotenese[/tex]
[tex]sin22=opp/hyp[/tex]
[tex]sin22=\frac{x}{16}[/tex]
[tex]\Longrightarrow x=16\times sin22[/tex]
[tex]x=5.99[/tex]
[tex]x=6.0[/tex]
[tex]OAmalOHopeO[/tex]
see screenshot below
Answer:
B only
Step-by-step explanation:
well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0
and to figure "a " we can consider the following equation:
[tex] \displaystyle x - a = 0[/tex]
substitute the given value of a:
[tex] \displaystyle x - 2= 0[/tex]
therefore,
[tex] \displaystyle x = 2[/tex]
option-1:plugin the value of x to the function A(x):
[tex] \displaystyle A(2) = {2}^{3} + {2}^{2} + 4[/tex]
simplify which yields:
[tex] \displaystyle A(2) = 16[/tex]
since A(2)≠0 x-2 is not a factor of A(x)
option-2:similarly substitute the value of x to the function B(x) which yields:
[tex] \displaystyle B(2) = {2}^{3} - {2}^{} - 6[/tex]
simplify:
[tex] \displaystyle B(2) =0[/tex]
so, B(2)=0 Hence x-2 is a factor of x³-x-6
option-3:substitute the value of x to the function C(x)
[tex] \displaystyle C(2) = {2}^{4} + 3.{2}^{} - 10[/tex]
simplify:
[tex] \displaystyle C(2) =12[/tex]
as C(2)≠0 x-2 is not a factor of C(x)
option-4:likewise plugin the value of x to the function D(x):
[tex] \displaystyle D(2) = {2}^{4} - 2.{2}^{3} - 2[/tex]
simplify and that yields:
[tex] \displaystyle D(2) = - 2[/tex]
therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
The factor
x-2=0x=2we have find the value of x .
Now,
we have to select all the polynomial which has x-2 As a factor.
According to the question,
option A:-[tex]A(x)=x^3+x^2+4\\\\A(2)=(2)^3+(2)^2+4\\\\=8+4+4\\\\16≠0[/tex]
so it is not a factor.Option B:-[tex]B(x)=x^3-x-6\\\\=B(2)=(2)^2-2-6\\\\0=0[/tex]
so it is a factor Option C:-[tex]C(x)=x^4+3x-10\\\\=C(2)=(2)^4+3(2)-10\\\\=16+6-10\\\\12≠0[/tex]
so it is not a factoroption D:-[tex]D(x)=x^4-2x^3-2\\\\D(2)=(2)^4-2(2)^3-2\\\\=16-16-2\\\\-2≠0[/tex]
so it is not a factortherefore:-The option B is correct.
Which of the following function pairs are inverses?
Answer:
(A)
x= 5y-3
(x+3)/5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i took the test lol
[tex]\text{Solve for x:}\\\\3x - 5 = 5x + 3[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = -4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
find value of the variable
Answer:
x=10
Step-by-step explanation:
16/24=(x-2)/12
or, 16/2=x-2
or, 8=x-2
or, x-2=8
or, x=10
Answered by GAUTHMATH
Find the size of the angles marked by letters in the following diagram.
Answer:
x = 52
y = 19
Step-by-step explanation:
The degree measure of a straight line is (180) degrees. One can use this to find the measure of the angle that is adjacent to the angle with a measure of (142) degrees. Form an equation and solve for the unknown,
142 + (unknown angle) = 180
unknown angle = 38
The inscribed angle theorem states that twice the measure of an angle with its vertex of the circumference (outer edge) of a circle is equal to the measure of the surrounding arc. Therefore, one can state the following:
(2)(unknown angle) = (surrounding arc)
(2)(38) = (surrounding arc)
76 = surrounding arc
The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equal to the measure of the surrounding arc. Therefore, one can state the following:
m<O = (surrounding arc)
m<O = 76
The radius is the distance from the center of the circle to the circumference of the circle. All radii in a circle are congrunet. Therefore the triangle with angle (x) and vertex (O) is an isosceles triangle, as two of its sides are radii, and are thus congruent. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides in an isosceles triangle are congruent. Moreover, the sum of angles in any triangle is (180) degrees. Therefore, one can make the following statement:
m<O + x + x = 180
76 + 2x = 180
x = 52
Finally, one can use the property that the sum of angles in any triangle is (180) degrees to make the following statement:
(x + 19) + (x + y) + (38) = 180
52 + 19 + 52 + y + 38 = 180
161 + y = 180
y = 19
x=52°
y=19°
Answer:
Solution given:
<OCA=19°[base angle of isosceles triangle]
Since ∆AOC is similar to ∆ BOC
y=19°[corresponding angle of a similar triangle are equal]
<OAB=<OBA=x[base angle of isosceles triangle]
again
<A+<B=180°[exterior angle of a triangle is equal to the sum of two opposite interior angle]
x+19+x+19=142°
2x=142°-38°
x=104/2
x=52°
please help!! asap need 5 and 6
Answer:
both substitutions
Step-by-step explanation:
in 5. based on 3 BC is substituted by its equal counterpart AB.
and in 6. we use 1. to substitute AC by its associated absolute value.
PLEASE HELP 30 POINTS
Find the value of x in the triangle below.
804
155
55°
o
75
80°
Ο Ο
85
Answer:
75°
Step-by-step explanation:
First, we need to know that the interior angle sum of a triangle is always 180°.
Now, to find the missing angle aside from x, we need to complete the sum 180-155=25, seeing 155° lies on a straight line. Remembering the interior angle sum of a triangle is always 180°, it is thus clear that 25+80+x=180. If we complete this equation, x=75.
Hope this helps!
Please help 33 points
Answer: it’s 111
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 6 10
Answer:
Step-by-step explanation:
7
Janes but a small clectric car and recorded the distance it waveled. The table below shows the distance waveled (nt during the st 4 seco
Bapsed Time Distance Traveled
(seconds) feet)
1
62
2
125
3
186
243
Which of the following equations represents the relationship between the distance traveled and the clapsed time?
Of=52-5
52-
+=52
52
Answer:
50
Step-by-step explanation:
If x=(p-3) and y=(p+3),show that xy+9=psquare
Step-by-step explanation:
Answer with explanation is in the attachment
Hope it is helpful to you
What are the domain and range of the inequality y < sqrt x+3+1
I don't get it I try to solve it but I just didn't get .
Given:
The inequality is:
[tex]y<\sqrt{x+3}+1[/tex]
To find:
The domain and range of the given inequality.
Solution:
We have,
[tex]y<\sqrt{x+3}+1[/tex]
The related equation is:
[tex]y=\sqrt{x+3}+1[/tex]
This equation is defined if:
[tex]x+3\geq 0[/tex]
[tex]x\geq -3[/tex]
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
[tex]\sqrt{x+3}\geq 0[/tex]
[tex]\sqrt{x+3}+1\geq 0+1[/tex]
[tex]y\geq 1[/tex]
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
Drag the tiles to the correct boxes to complete the pairs.
Find the missing the coordinates.
(2, -2)
(-5, -5)
(2, 1)
(-1, -1)
A(-5, -1), B(1, -1), and C(1, -5) are
three vertices of rectangle ABCD. What
are the coordinates of vertex D?
arrowRight
A(2, 5), B(6, 5), and C(6, 1) are
three vertices of square ABCD. What are
the coordinates of vertex D?
arrowRight
A(2, 3), B(7, 3), and C(7, -2) are
three vertices of square ABCD. What are
the coordinates of vertex D?
arrowRight
A(-1, 4), B(7, 4), and C(7, -1) are
three vertices of rectangle ABCD. What
are the coordinates of vertex D?
arrowRight
Answer:
i think its 24
Step-by-step explanation:
2=2
PLS HELP PICS OF QUESTION ATTACHED!
Please HELP! ):
The measure of an interior angle of a regular polygon is eight times the measure of one of its exterior angles. How many sides does the polygon have?
X^2 - 2x + 6 = 0
Show all work
Answer:
x= plus or minus 1 plus imaginary root times square root of 5.
Step-by-step explanation:
[tex] {x}^{2} - 2x + 6 = 0[/tex]
Complete the Square.
[tex] {x}^{2} - 2x = - 6[/tex]
[tex] {x}^{2} - 2x + 1 = - 5[/tex]
[tex](x - 1) {}^{2} = - 5[/tex]
[tex]x = + - 1 + i \sqrt{5} [/tex]
99999+999=????????????????????????????
Answer:
100998 is the answer.
I hope this help u.
Answer:
100998
Step-by-step explanation:
₁ ₁ ₁ ₁ ₁
99999
+ 999
100998
you can also think of it as
99999(+1) + 999(-1)
100000+998
100998
SOMEONE HELP PLEASE I NEED ANSWER
Answer:
T = 55 + 6w and $103
Step-by-step explanation:
We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value
T = 55 + 6w
Solving for T when w = 8 weeks
T = 55 + 6(8)
T= 55 + 48
T = $103
Can someone help me with this math homework please!
Answer:
I believe its (-3,-2)...........
Which set of numbers does NOT represent the lengths of the sides of a triangle? A.) (7,5,6)
B.) (9,12,19)
C.) (7,18,11)
D.) (6,8,11)
Answer: B and C
Step-by-step explanation:
the triangle inequality theorem states that any 2 sides of a triangle must be greater than the measure of the third side. now with this rule, let's apply it to all options!
option a:
7 + 5 > 6 .. yes!
6+ 7 > 5 .. yes!
5 + 6 > 7 .. yes!
option b:
9 + 12 > 19 .. yes!
12 + 19 > 9 .. no!
19 + 9 > 12 .. no!
option c:
7 + 11 > 18 .. no!
11 + 18 > 7 .. no!
18 + 7 > 11 .. yes!
option d:
6 + 8 > 11 .. yes!
8 + 11 > 6 .. yes!
11 + 6 > 8 .. yes!
i did this topic years ago so please let me know if there are any mistakes! hope this helped, and good luck! ◝(ᵔᵕᵔ)◜
In a bowl of fruit, there are green grapes and black grapes in the ratio 3 : 4
If there are 24 green grapes, how many black grapes are there?
Answer:
32
Step-by-step explanation:
Green : black
3 4
We have 24 green
3+8=24
so multiply each side by 8
Green : black
3*8 4*8
24 32
There are 32 black grapes
Answer:
32
Step-by-step explanation:
By Question :-
Green grapes: Black grapes= 3:4Let :-
Number of black grapes = xTherefore,
GG/ BG = 3/4 24/x = 3/4 x = 24 × 4/3x = 8 × 4x = 32PLEASE HELP !!!!!!!!!!!!!
Answer:
the 3rd won for sure
Step-by-step explanation:
hope I helped
Answer:
C
Step-by-step explanation:
The coordinates are all in (x, y) form.
X is how left or right
y is how tall.
If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.
I hope this helps!
0=(x-8)^2-100 Solve the problem using any type of way.
0 = (x-8)^2 -100
Add 100 to both sides
100 = (x-8)^2
Take the square root of both sides
10 = (x-8)
Remove the parentheses
10 = x-8
Add 8 to both sides
18 = x
Answer: x = 18
At an amusement park, 63 out of 70 tickets sold were discount tickets.
What percentage of the tickets were discount tickets?
Answer:
90%
Step-by-step explanation:
63/70 = 0.9 = 90%
Answer:
63 out of 70
63×10÷70=9
9%
Which number is greater than 234,781,114?
A. 3.425 x 10 to the power of 6
B. 3.425 x 10 to the power of 8
C. 3.425 x 10 to the power of 7
D. 3.425 x 10 to the power of 5
Answer:
I think its B.
Step-by-step explanation:
sorry if i am wrong.
the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?
Answer: 7.25
Step-by-step explanation:
Factor: (a+3)^2 -a(a+3)
Answer:
3(a +3)
Step-by-step explanation:
(a+3)^2 -a(a+3)
FOIL
a^2 +3a+3a+9 -a(a+3)
Distribute
a^2 +3a +3a +9 -a^2 -3a
Combine like terms
3a +9
FACTOR out a+3
(a+3)( a+3 -a)
(a+3) (3)
3(a+3)
Answer:
3(a+3)
Step-by-step explanation:
Expand the first set of brackets first
(a+3)^2
A^2 + 3a + 3a +9
=A^2 + 6a + 9
Expand the second set of brackets
-a(a+3)
=-a^2 - 3a
Add both sets together
3a + 9
Factorise:
3(a+3)
