Answer:
2/6 or 1/3
Step-by-step explanation:
We start off with 5/6 of a cup of syrup in a measuring cup.
Then Wesley pours out 1/2 of the syrup in the measuring cup.
Our equation looks like this:
5/6 - 1/2 = ?
However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).
Mulitiples of 6: 6, 12, 18, 24
Multiples of 2: 2, 4, 6, 8
6 is the LCD for the both of them.
Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)
1/2 x 3/3 = 3/6
Now we can substitue 3/6 into our original equation and solve it:
5/6 - 3/6 = 2/6
It's better to use the simplified answer, 1/3.
Hope it helps and good luck (●'◡'●)
The town of Lakehorn is built on a grid system. Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall. Only students who live outside a 5-mile radius from the school are eligible to ride the school bus. Which of the following students are eligible to ride the bus? Select all that apply.
The students eligible to ride the bus are: Marinna, Kaleb and Thomas
What is the distance between two points?The distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
What is an equation of circle with center at (h, k)?An equation of circle with center at (h, k) and radius 'r' is,
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
For given example,
Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall.
Considering positive x-axis = East
negative x-axis = West
positive y-axis = North
negative y-axis =South
Also, locate the position of each student on the graph.
Then the given situation would as shown in following diagram.
We have been given, only students who live outside a 5-mile radius from the school are eligible to ride the school bus.
Using the equation of the circle,
the equation for the area within a circle of 5-mile radius from the school would be,
[tex](x-2)^2+(y-3)^2=5^2[/tex]
From the graph we can observe that, Marinna, Kaleb and Thomas live outside a 5-mile radius from the school.
Therefore, the students eligible to ride the bus are: Marinna, Kaleb and Thomas
Learn more about the equation of circle here:
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Answer:
come to mya massanger dk khanal fb user
Step-by-step explanation:
i will teach you by sending picture
April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?
Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
as x increases, y increases
Step-by-step explanation:
Answer:
B. as x increases, y increases
Step-by-step explanation:
HELLPPPPPPPPPPPP i will give brainliest
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{18}[/tex]
[tex]\sqrt{9}[/tex] [tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex]
How can you represent 1/2 on a 10-by-10 grid?
Answer:
Represent 1/2 by covering 50 squares.
Step-by-step explanation:
There are 100 squares in a 10-by-10 grid.
1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.
OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is the scale factor of enlargement.
Answer:
(D) 2
Step-by-step explanation:
The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC
Therefore, we have;
[tex]The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}[/tex]
[tex]\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2[/tex]
[tex]\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2[/tex]
[tex]\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2[/tex]
Therefore, the scale factor = 2
Find the x-intercept of the graph of the linear equation y = −12x + 3.
Answer:
x-intercept = (1/4, 0)
Step-by-step explanation:
Just change the y to 0 if you want to find the x-intercept of a linear equation.
0=-12x+3
-12x=-3
x=1/4
y=0
x-intercept = (1/4, 0)
Which graph represents the function of f(x) = 4x² - 4x -8/2x+2.
Answer:
I think that second option represents the function of f(x) = 4x² - 4x -8/2x+2.
what is the value of x? (3x-14)°=180° [4(x-9)]°=180°
Answer:
3x-14=180
3x=194
x= 64 2/3
4(x-9)=180
4x-36=180
4x=216
x=54
Hope This Helps!!!
Step-by-step explanation:
(3x-14)°=180°
3x-14=180
3x=180+14
3x=194
x=64.6
[4(x-9)]°=180°
4x-36=180
4x=180+36
4x=216
x=54
can anyone answer this? (2y²-3xy)÷y.
Answer:
2y - 3x
Step-by-step explanation:
Given
(2y² - 3xy) ÷ y
Divide each term on the numerator by y , that is
[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )
= 2y - 3x
Multiply the following rational expressions and simplify the result
Answer:
Step-by-step explanation:
We have to solve the given expression,
[tex]\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}[/tex]
[tex]\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}[/tex] = [tex]\frac{-y(-9+33y+3y^3)}{100-49y^2}.\frac{7y^2+17y+10}{14y(y+2)}[/tex]
= [tex]\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{7y^2+10y+7y+10}{14y(y+2)}[/tex]
= [tex]\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{y(7y+10)+1(7y+10)}{14y(y+2)}[/tex]
= [tex]\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{(y+1)(7y+10)}{14y(y+2)}[/tex]
= [tex]\frac{-3y(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14y(y+2)}[/tex]
= [tex]\frac{-3(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14(y+2)}[/tex]
= [tex]\frac{3(3-11y-y^3)(y+1)}{(10-7y)(14(y+2)}[/tex]
Which polynomial function has a leading coefficient of 3 and roots 4, I, and 2, all with multiplicity 1? Of(x) = 3(x + 4)(x - 1)(x - 2) O f(x) = (x - 3)(x + 4)(x - 1)(x - 2) f(x) = (x - 3)(x + 4)(x - 1)(x + 1)(x - 2) O f(x) = 3(x + 4)(x - 1)(x + 1)(x - 2) N
Note: There must be -4 instead of 4 otherwise all options are incorrect.
Given:
A polynomial function has a leading coefficient of 3 and roots -4, 1, and 2, all with multiplicity 1.
To find:
The polynomial function.
Solution:
The general polynomial function is defined as:
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]
Where, a is the leading coefficient, [tex]c_1,c_2,...,c_n[/tex] are the zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.
It is given that a polynomial function has a leading coefficient of 3 and roots 4, 1, and 2, all with multiplicity 1. So, the polynomial function is defined as:
[tex]P(x)=3(x-(-4))^1(x-1)^1(x-2)^1[/tex]
[tex]P(x)=3(x+4)(x-1)(x-2)[/tex]
Therefore, the correct option is A.
Miguel can use all or part of his $25 gift card to make a music purchase.Each song costs $1.50, and there is a $1.00 per account activation fee
Answer:
1.5m + 1 ≤ 25
Step-by-step explanation:
Given:
Total amount of gift card Miguel have = $25
Cost of each song = $1.50
Account activation fee = $1
Find:
Inequality
Computation:
Assume;
Number of song Miguel have = m
So,
Total amount of gift card Miguel have ≥ (Cost of each song)(Number of song Miguel have) + Account activation fee
1.5m + 1 ≤ 25
Which translation vectors could have been used for the pair of
figures?
Select each correct answer.
What's the answer? Also please tell the steps of the solution.
Answer:
[tex] \rm\displaystyle D) \left (1,3\right)[/tex]
Step-by-step explanation:
well to figure out the point we can consider the following formula:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{m x_{2} + n x_{1} }{m + n} , \frac{m y_{2} + n y_{1} }{m + n} \right)[/tex]
from the given we acquire that,
[tex](x _{1}, y_{1}) = ( - 1,7)[/tex][tex](x _{2}, y_{2}) = ( 4, - 3)[/tex][tex]m : n = 2 : 3[/tex]therefore substitute:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{(2) (4)+ 3( - 1) }{2 + 3} , \frac{(2) ( - 3) + (3)(7)}{2 + 3} \right)[/tex]
simplify multiplication:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{8 - 3 }{2 + 3} , \frac{ - 6+ 21}{2 + 3} \right)[/tex]
simplify:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{5}{5} , \frac{ 15}{5} \right)[/tex]
simplify division:
[tex] \rm\displaystyle \text C(x,y)= \left (1,3\right)[/tex]
hence our answer is D)
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
Points => (-1, 7) & (4, -3)
Ratio => 2 : 3
(x₁, y₁) = (-1, 7)
(x₂, y₂) = (4, -3)
(m₁, m₂) = (2, 3)
Formula = [tex]\large\left (\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2}} , \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2}} \right)[/tex]
Points which divide the line segment
= [tex]( \frac{2 \times 4 + 3 \times - 1}{2 + 3}, \frac{2 \times -3 + 3 \times 7}{2 + 3})[/tex]
[tex] =( \frac{8 - 3}{5} , \frac{ - 6 + 21}{5}) \\ = ( \frac{5}{5} , \frac{15}{5} ) \\ = (1,3)[/tex]
Answer => (1, 3) [option D]
An elevator is moving up at a rate of 5 feet each second. The elevator is now at street level. When will the elevator be 30 feet above street level? Write a division sentence using integers to represent this situation.
Answer:
Time = (30 ÷ 5) seconds
Step-by-step explanation:
It is moving up at the rate of 5 ft/s.
This means;
Distance moved ÷ time taken = 5 ft/s
Thus, for a distance of 30 ft above street level, the time taken will be calculated from
30 ÷ time taken = 5
Time to reach the given distance = 30 ÷ 5
In division sentence, it is composed of division symbol and equal to sign.
add: -38+6+27+(-8)+126
Answer:
113
Step-by-step explanation:
Activity 2. pls just give me the formula or answer this, it really help me
Answer:
X= sin (56) . 17) hope this helps
álgebra 1
− 0.32 + 0.18 = 0.25 − 1.95
Answer:
i don't understand the question
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
12.6
Step-by-step explanation:
[tex]\frac{84}{87}[/tex] = [tex]\frac{x}{13}[/tex]
cross multiply
87x = 1092
x = 12.6 rounded
In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?
Answer:
For completing the square, you need the coefficient of the x^2 term to be 1.
http://www.1728.org/quadr2.htm
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
5.3938654741
Step-by-step explanation:
x=5.1/cos(19) = 5.39386547405
The value of the variable 'x' using the cosine formula will be 5.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠LKM. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 19° = 5.1 / x
x = 5.4
The value of the variable 'x' using the cosine formula will be 5.4 units.
More about the right-angle triangle link is given below.
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If AABC~ DEF and the scale factor from ABC to DEF is , what are the lengths of DE, EF, and DF, respectively?
Step-by-step explanation:
we don't see a picture, and you don't not give us any detailed information (all specific numbers like the scale factor are missing in your text). so, it is impossible to calculate anything.
but you can do it yourself very easily.
let's call the same factor "f".
that means you have to multiply the side lengths of every side of ABC by that factor f to get the cushions side lengths is the sides in DEF.
that's it.
that's all that has to be done.
so, assuming that A -> D, B -> E, C -> F
then
AB × f = DE
BC × f = EF
CA × f = FD
as I said - that's it. just use the actual numbers and multiply.
All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC and DEF are similar.
And, the scale factor from ABC to DEF is 2.
Now, We get;
This means that each side of the triangle ABC were multiplied by the scale factor 2 in order to get the triangle DEF.
Based on the above, you can set up the following equations;
⇒ DE = 2AB
⇒ EF = 2BC
⇒ DF = 2CA
Finally, substituting the corresponding lengths of the triangle ABC into the equations, and then evaluating, you get the following result:
⇒ DE = 2 x 2 = 4
⇒ EF = 2 x 4 = 8
⇒ DF = 2 x 6 = 12
Thus, All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.
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Can you please tell me the answer step by step??
Answer:
a)4
Step-by-step explanation:
(a+b)²=43 eqn 1
(a²+b²)=35 eqn 2
solving eqn 2 by putting the value of (a+b)² by eqn 1
(a+b)²-2ab=3543-2ab=35-2ab=35-43ab= -8/-2ab =4hope it helps
stay safe healthy and happy.help please!! first answer gets marked brainliest!
Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
At what rate of simple interest a certain sum will be doubled in 15 years?
Answer:
6.66 % per year.
Step-by-step explanation:
Hope it help you
Answer:
66 percent per year
Step-by-step explanation:
I hope this will help you
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Help me with the diagram please!!!
Answer:
(B) 30
Step-by-step explanation:
Imagine you drew a line from Point T until it touched Line PR. Let's call that point where it touched Line PR "Point Z".
That line (called Line TZ) would be perpendicular to PR, forming a 90 degree angle.
Now, TZW is a triangle.
To find x, we need to find the angle measurment of Angle ZTW.
This is where we use the hexagon.
A hexagon's interior angle sum is 720, meaning each interior angle is equal to 120 degrees. So Angle UTS would equal 120 degrees.
However, Line TZ bisects that 120 degree angle, so Angle ZTW would equal 60 degrees (because 120/2 = 60).
Now we have two angles of the triangle: 90 & 60.
A triangle's interior angle sum is 180.
Add 90 & 60, which is 150, and subtract 150 from 180.
The result is 30, which is the angle measurement of x.
Hope it helps (●'◡'●)
Rewrite this function in equivalent forms to identify the key features of the quadratic function it models.
f(x) = 2x2 - 40 - 6
Type the correct answer in each box.
Key features:
y-intercept: 0,
axis of symmetry: z =
vertex: OD
x-intercepts: (-1,0) and ((,)
Answer:
y int = -6
x = 1 axis symmetry
vertex : (1,-8)
x int: (3,0),(-1,0)
Step-by-step explanation:
Three consecutive odd integers have a sum of 27. Find the integers.
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of three consecutive odd integers = [tex]27[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The values of the three integers.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].
As per the condition, we have
[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]
[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]
[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]
Now, collect the like terms.
[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]
[tex]➺ \: 3x + 6 = 27[/tex]
[tex]➺ \: 3x = 27 - 6[/tex]
[tex]➺ \: 3x = 21[/tex]
[tex]➺ \: x = \frac{21}{3} \\[/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]⇢ 7 + 9 + 11 = 27[/tex]
[tex]⇢ 27 = 27[/tex]
⇢ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]