Answer:
£8 : £12
Step-by-step explanation:
2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12
lexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
2 miles
3 and one-half miles
4 and one-half miles
6 miles
Answer: The best estimate of the number of miles that Alexia run is 4 miles.
Step-by-step explanation:
Since we have given that
Length of lap is given by
Number of laps around her neighborhood = 3
So, Total number of miles that Alexia ran is given by
Hence, the best estimate of the number of miles that Alexia run is 4 miles
Will mark brainliest if you can help!
Answer:
ln(20) = 2.9957
Here given:
ln(4) = 1.3863
ln(5) = 1.6094
Evaluating with that:
[tex]\rm \Rightarrow ln\left(20\right)=ln\left(5\right)+ln\left(4\right)\\[/tex]
[tex]\rm \Rightarrow ln\left(20\right)=1.3863 \ + \ 1.6094[/tex]
[tex]\rm \Rightarrow ln\left(20\right)=2.9957[/tex]
Select the graph that represents the correct answer to the equation.
5y = 3x - 5
Given:
The given equation is 5y=3x-5
Find: Draw the graph
Explanation:
It is given that 5y=3x-5. Substitute x=0 into the given equation we have
[tex]5y = 3x - 5[/tex]
[tex]5y = 3(0) - 5[/tex]
[tex]5y = - 5[/tex]
[tex]y=-1[/tex]
Now, substitute x=5 into the given
equation we have
[tex]5y = 3(5)-5[/tex]
[tex]5y = 15-5[/tex]
[tex]5y = 10[/tex]
[tex]y = 2[/tex]
The points are (0,-1) and (5,2).
Therefore, the required graph is
Hence, the required graph is obtained.
Lila wants to represent the following statement: seven times some number plus thirteen. How can she write this as an expression?
Answer: 7x+13
Step-by-step explanation:
7 is being multiplied by some number (x) and then the answer to that is added to 13.
Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did Doug share his cards with ?
Answer is not 4.
Answer:
3
Step-by-step explanation:
24 divided by 6 is 4, subtract Doug, there were 3 friends
Find the inverse of the function.
y = -3x - 9
Write your answer in the form ax + b. Simplify any fractions.
y =
Answer: [tex]y=-\frac{1}{3} x-3[/tex]
Step-by-step explanation:
To find the inverse of a function you must first swap the places of x and y
[tex]x=-3y-9[/tex]
Now solve for y
Step 1: Flip the equation.
[tex]-3y-9=x[/tex]
Step 2: Add 9 to both sides.
[tex]-3y-9+9=x+9\\-3y=x+9[/tex]
Step 3: Divide both sides by -3.
[tex]\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3[/tex]
27.9km to the nearest km
Answer: It rounds to 28 km
Explanation:
The units or ones digit is "7". The next digit over (9) is five or larger. This means we bump the 27 up to 28. Everything after the 7 is ignored.
So we could have something like 27.999871212512 and we still follow the same idea of focusing on the 27, bumping it up to 28, and everything else gets ignored.
The reason for this is because 27.9 is much closer to 28 than it is to 27. Draw out a number line to help see this. Split the region from 27 to 28 into 10 equal pieces. The 9th little piece represents 27 & 9/10 aka 27.9
Refer to the number line diagram below.
What is line r called and what are ∠1 and ∠2?
Answer:
The line r is the transversal and ∠1 and ∠2 are linear pairs.
Step-by-step explanation:
Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.
Consequently, the parallel lines are p and q.
R is the transversal
The parallel lines p and q are divided by the transversal r.
As a result, lines 1 and 2 are linear pairs, and line r is the transversal.
Answer:
it is called a transversal (how do u not know this?)
Which of the following demonstrates the Distributive Property?
3(4a + 2) = 12a + 6
3(4a + 2) = 12a + 2
3(4a + 2) = 4a + 6
3(4a + 2) = 7a + 5
Answer:
[tex]\fbox {3(4a + 2) = 12a + 6}[/tex]
Step-by-step explanation:
⇒ 3(4a + 2)
⇒ 3(4a) + 3(2)
⇒ 12a + 6
Answer:
A) 3(4a + 2) = 12a + 6
Step-by-step explanation:
This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.
3 * 4a = 12a
3 * 2 = 6
So then, as you can see, the answer would be 12a + 6.
This is another explanation, even though they are LITERALLY the same.
Apply the distributive property.
3 (4a) + 3 ⋅ 2
Multiply 4 by 3.
12a + 3 ⋅ 2
Multiply 3 by 2.
12a + 6
Brainliest pls
Find x
proportions with similar triangles.
Answer:
32
(this is just an approximation due to the left triangle)
a and b are positive integers and 7a+ 5b= 49. Find the values of a and b.
3.1 What is a?
2 What is b?
Answer:
B = 49/5 - 7a/5
A = = -5b/7 + 7
Step-by-step explanation:
Given that,
7a+ 5b= 49
Solution:
Solving for a:
Add -5b to both sides:
[tex]7a+5b - 5b=49 - 5b[/tex][tex]7a = - 5b + 49[/tex]Divide both sides by 7:
[tex] \cfrac{7a}{7} = \cfrac{ - 5b + 49}{7} [/tex][tex]a = \cfrac{ - 5b}{7} + 7[/tex]Hence,a = -5b/7 + 7.
Solving for b:
Add -7a to both sides:
[tex]7a+5b+( - 7a)=49+(−7a)[/tex][tex]7a + 5b - 7a = 49 - 7a[/tex][tex]5b = 49 - 7a[/tex]Divide both sides by 5:
[tex] \cfrac{5b}{5} = \cfrac{49 - 7a}{5} [/tex][tex]b = \cfrac{49}{5} - \cfrac{7a}{5} [/tex]Hence,b = 49/5 - 7a/5.
The table shows the results of a survey of students in two math classes.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth. Be sure to show and explain your work.
P(more than 1 hour of TV | 6th period class) is 0.352.
What is the probability?Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.
P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed
12 / (12 + 9 + 5 + 8)
12 / 34 = 0.352
To learn more about probability, please check: https://brainly.com/question/13234031
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elect the correct answer.
which direction must the graph of f(x) = 2* be shifted to produce the graph of g(x) = 2(x+8)
OA. left
OB. right
O C.
down
OD.
The answer to this question is (A) left.
Tyrone paid $234.33 for a new watch, after-tax, and the tax rate is 7%. What was the original price of the watch?
the price of the watch plus tax = 100% + 7% = 107%
Divide the total cost by 107%:
234.33 / 1.07 = 219.00
The original price was $219.00
A rug is in the shape of a square. It measures 18 feet on each side. What is its perimeter?
Answer:
72ft²
Step-by-step explanation:
a square has 4 equal sides, when each one is 18ft, the total perimeter will be 18×4=72ft²
Hii!
_____________________________________________________
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]
Perimeter of the rug = 72 ft
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}}[/tex]
[tex]\bullet[/tex] Let's work out the perimeter
[tex]\twoheadrightarrow\sf P=4a[/tex] a=length of one side
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf P=4\cdot18[/tex]
[tex]\bullet[/tex] Multiply
[tex]\twoheadrightarrow\sf P=72ft[/tex]
--
Hope that this helped! Best wishes.
[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]
--
Which equation represents this number sentence?
Two more than one-third of a number is 8
Answer:
Step-by-step explanation:
One - third = 1/3
then:
one third of a number = a*1/3 = a/3
Then the equation that represents this sentence is:
2 + a/3 = 8
process:
a/3 = 8 - 2
a/3 = 6
a = 6*3
a = 18
Check:
2 + 18/3 = 8
2 + 6 = 8
Express the division form of a+bi (1+3i) divided by (2+i)
help
Divide.
22.7 ÷ 0.04
Answer:
567.5
Step-by-step explanation:
it's 567.5. please add me to your followers
Which expression can be used to an identity with [(sin)(sec)]^2 + 1?
Answer:
A
Step-by-step explanation:
sin*sec=tan
tan^2+1=sec^2 by an identity
Which of the following is the graph of y= e^x + 1?
Answer + Step-by-step explanation:
y= e^x + 1
+ 1 will shift the graph up 1In the natural exponential function, eˣ = e power x, we employ e. In the eˣ function, the tangent line's slope to any point on the graph is equal to that point's y-coordinate. The sequence we employ to calculate the value of e is (1 + 1/n)Learn more about Natural Exponential Functions here: https://brainly.com/question/1979778
Will give brainliest or whatever it’s called
C is the right answer.
hope it helps...
Answer:
C.
Step-by-step explanation:
Calculating this in Desmos, the closest equation to the points on the graph will have to be c
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).
What is the equation of g(x)?
g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10
According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]
How to determine the equation of g(x)?The complete question is in the attachment
The function f(x) is given as:
[tex]f(x) = 5^x[/tex]
From the attached graph, we can see that the function f(x) is 10 units down to get g(x).
This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)
This transformation is represented by:
(x, y) => (x, y - 10)
So, we have:
g(x) = f(x) - 10
Substitute [tex]f(x) = 5^x[/tex]
[tex]g(x) = 5^x - 10[/tex]
Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]
Read more about function transformations at:
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What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
3x − 4y = −17
3x − 4y = −20
4x + 3y = −2
4x + 3y = −6
Answer:
4x + 3y = - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
• Parallel lines have equal slopes
calculate the slope of the line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1-3}{3-0}[/tex] = [tex]\frac{-4}{3}[/tex] = - [tex]\frac{4}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
to find c substitute (- 3, 2 ) into the partial equation
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - [tex]\frac{4}{3}[/tex] x - 2 ← equation in slope- intercept form
multiply through by 3 to clear the fraction
3y = - 4x - 6 ( add 4x to both sides )
4x + 3y = - 6 ← in standard form
if x²+X+1=0 then what is the value of x²⁰¹⁵ + x²⁰¹³ + x
Since [tex]x^2 + x + 1 = 0[/tex] means [tex]x^2+x = -1[/tex], we have for any [tex]n[/tex] the recursive relation
[tex]x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n[/tex]
Let [tex]f(x)=x^{2015}+x^{2013}+x[/tex]. Substitution using the recursive rule generates an alternating power-reduction pattern:
[tex]f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x[/tex]
[tex]f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x[/tex]
[tex]f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x[/tex]
[tex]f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x[/tex]
[tex]f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x[/tex]
[tex]f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x[/tex]
and so on.
Notice that in the equivalent forms of [tex]f(x)[/tex] involving 3 terms, the largest power of [tex]x[/tex] is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with
[tex]f(x) = x^3 + x^2 + x[/tex]
Then by factorizing, the expression of interest reduces to
[tex]f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}[/tex]
What is the value of the rational expression below when x is equal to 4?
Answer: letter B (answer is 2)
Step-by-step explanation:
Tim go to school.His age is a cube number.His age is double 1 square number and half a different square number.How old is Tim?
which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9
Step-by-step explanation:
[tex] \frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1[/tex]
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]
Here a^2 is 9, b^2 is 4.
[tex] {c}^{2} = 9 - 4[/tex]
[tex] {c}^{2} = 5[/tex]
[tex]c = \sqrt{5} [/tex]
So our foci is
[tex](2, - 5 + \sqrt{5} )[/tex]
and
[tex](2, - 5 - \sqrt{5} )[/tex]
Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.
Use the diagram to complete the statements.
The measure of angle EJB is
the measure of angle BOE.
The measure of angle BDE is
the measure of angle BOE.
The measure of angle OED is
✔ equal to
the measure of angle OBD.
The measure of angle OED is the measure of angle OBD. Then the correct option is C.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Circle O is shown.
Line segment JE is a diameter and line segment OB is a radius.
A line is drawn from point J to point B to form a chord.
Tangents BD and ED intersect at point D outside the circle.
The radius and tangent are orthogonal to each other.
∠OED = ∠OBD = 90°
Then the correct option is C.
The complete question is given below.
Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.
Use the diagram to complete the statements.
The measure of angle EJB is the measure of angle BOE.
The measure of angle BDE is the measure of angle BOE.
The measure of angle OED is the measure of angle OBD.
More about the circle link is given below.
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Answer:
one-half, 180 minus, equal to
Step-by-step explanation:
9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The
other end of the leash is tied to the top of an 8-foot pole. How far can Rover roam from the
pole?
The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.
After drawing a right-angle triangle from the above information.
Applying Pythagoras' theorem:
60² = 6² + x²
After solving:
x = 59.69 ≈ 59.7 foot
Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
Learn more about Pythagoras' theorem here:
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list 4 factors of 24. list 4 multiples of 24.
Answer:
Factors of 24: 1, 2, 3, 4, 6 etc.
Multiples of 24: 48, 72, 96, 120
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Factors of 24:24 can be written as:
= 1 × 24
= 2 × 12
= 3 × 8
= 4 × 6
So, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24.
Multiples of 24 are:1 × 24 = 24
2 × 24 = 48
3 × 24 = 72
4 × 24 = 96
and so on...
So, the first 4 multiples of 24 are 24, 48, 72 and 96.
[tex]\rule[225]{225}{2}[/tex]
