Answer:
Eva spends £35 in a month.
Step-by-step explanation:
We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.
We are looking to find out how much money does she spend in a month.
To calculate this, we can use the following formula:
Spent money = Allowance - (Allowance / (5 + 1))
Plugging in the known values:
Spent money = 42 - (42 / (5 + 1))
Spent money = 42 - (42 / 6)
Spent money = 42 - 7
Spent money = 35
So, Eva spends £35 in a month.
A small airplane used 4 5/16 gallons of fuel to fly a 1.25-hour trip. How many GALLONS were used EACH HOUR?
Answer:
13.8 gallons per hour
Step-by-step explanation:
"Gallons per hour" means to divide gallons by hours. Even the label can be a reminder of what to do: [tex]\frac{\text{gal}}{\text{hr}}[/tex] .
Now for the math...
[tex]4\frac{5}{16} \div 1.25 =4\frac{5}{16} \div 1\frac{1}{4}[/tex]
Changing both numbers to mixed number form helps. (You could also change both numbers to decimals--a calculator would help!)
Change mixed numbers to improper fractions, then divide.
[tex]\frac{69}{4} \div \frac{5}{4}=\\\\\frac{69}{4} \times \frac{4}{5}=\\\\\\\frac{69}{5}=13.8[/tex]
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is
translated 1 unit right and 3 units up, what are the coordinates of A?
PLEASE HELP
You roll a six-sided dice. What is the probability that the first roll is a 6, and the second one is a 3
There would be a 1/36 chance of rolling a 6 then a 3 consecutively on a 6-sided die
Because the chance of rolling each of the numbers individually would be 1/6, and you are trying to roll 2 specific numbers in a row on a single die, you can simply multiply 1/6 by 1/6 to get your answer.
Find the measure of the missing angles.
Answer:
c = 77
b = 77
Step-by-step explanation:
c and b are equal because they are vertically opposite.
In addition, they both form a supplementary pair with 103 (but not at the same time).
c + 103 = 180 c and 103 form a supplementary pair.
c = 180 - 103
c = 77
c = b = 77
find the value of x and y (2x+5) , (5x-17) and (3x-11)
The value of x and y in the diagram are 26° and 9° respectively.
What is linear pair theorem?Two adjacent angles formed a linear pair.
The linear pair property:
The sum of the angle measure of both the angles is 180°.
Given:
Using linear pair theorem,
(5x - 17)° + (3x - 11)° = 180°.
8x - 28°= 180°
8x = 180° + 28°
8x = 208°
x = 208/8
x = 26°
The value of x is 26°.
Now,
3x - 11° = 3×26°-11°
= 67°
Linear pair theorem,
67° + 90° + (2y+5)° = 180°
157°+2y+5° = 180°
2y + 162° = 180°
2y = 180° - 162°
2y = 18°
y = 9°
The value of y is 9°.
Therefore, the value of x is 26° and y is 9°.
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The complete question is given in the attached image.
Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 30, 10. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60,61, 62. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 65, 70. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180.
Answer:
Option DStep-by-step explanation:
The given statement represents the equation:
y = 60xFor the values of x = 1, 2, 3 the value of y would be:
y = 60, 120, 180Correct table to reflect this is D.
A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180.Answer:
The declaration is the equation:
and = 60x
In terms of values x = 1, 2, 3 y is: Y
Y = 60. 120.
This is shown by the right table D.
Table with 3 rows in 2 columns.
The hours of entries 1, 2, 3 are shown with Column 1.
Miles containing the items 60, 120, 180 are shown in column 2.
0 Thank you.
Step-by-step explanation:
Help me with this one plz.
Consider sequences of positive real numbers of the form , in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of does the term 3000 appear somewhere in the sequence ?
a. 1
b. 2
c. 3
d. 4
e. more than 4
No two values of x in the computation we just did are equal, there are 4 different values of x for which the sequence contains the value 2001.
What is meant by sequences?An ordered list of numbers is all that a sequence is. Number series are collections of numbers that adhere to a pattern or guideline. An arithmetic sequence is one where the rule is to add or take away a number each time.
To estimate a few terms of the sequence in order to obtain a feel how it looks like.
In our case, the definition is that [tex]$\forall$[/tex] (for all) [tex]$n > 1: a_n=a_{n-1} a_{n+1}-1$[/tex].
This can be rewritten as [tex]$a_{n+1}=\frac{a_n+1}{a_{n-1}}$[/tex].
We have [tex]$a_1=x$[/tex] and [tex]$a_2=2000$[/tex], and we estimate:
[tex]$& a_3=\frac{a_2+1}{a_1}=\frac{2001}{x} \\[/tex]
[tex]$& a_4=\frac{a_3+1}{a_2}=\frac{\frac{2001}{x}+1}{2000}=\frac{2001+x}{2000 x} \\[/tex]
[tex]$& a_5=\frac{a_4+1}{a_3}=\frac{\frac{2001+x}{2000 x}+1}{\frac{2001}{x}}=\frac{\frac{2001+2001 x}{2000 x}}{\frac{2001}{x}}=\frac{1+x}{2000} \\[/tex]
[tex]$& a_6=\frac{a_5+1}{a_4}=\frac{\frac{1+x}{2000}+1}{\frac{2001+x}{2000 x}}=\frac{\frac{2001+x}{2000}}{\frac{2001+x}{2000 x}}=x \\[/tex]
[tex]$& a_7=\frac{a_6+1}{a_5}=\frac{x+1}{\frac{1+x}{2000}}=2000[/tex]
At this point we see that the sequence will become periodic: we contain [tex]$a_6=a_1, a_7=a_2$[/tex], and each subsequent term exists uniquely determined by the previous two.
Hence 2001 appears, it contains to be one of [tex]$a_1$[/tex] to [tex]$a_5$[/tex].
As [tex]$a_2=2000$[/tex], we only have four possibilities left.
Clearly [tex]$a_1=2001$[/tex] for x = 2001, and [tex]$a_3=2001$[/tex] for x = 1.
The equation [tex]$a_4=2001$[/tex]
solves to [tex]$x=\frac{2001}{2000 \cdot 2001-1}$[/tex], and the equation [tex]$a_5=2001$[/tex] to [tex]$x=2000 \cdot 2001-1$[/tex]
There are four alternative values of x for which the sequence contains the value 2001 since no two values of x are equal in the computation we just performed.
Therefore, the correct answer is option (D) 4.
The complete question is:
Consider sequences of positive real numbers of the form x, 2000, y, ........ in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of x does the term 2001 appear somewhere in the sequence?
(A) 1
(B) 2
(C) 3
(D) 4
(E) more than 4
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Una tribu de indios observa que la manada de búfalos del territorio donde se han instalado se reduce según una función de decrecimiento exponencial dada por f(x)=kax. Hace 12 lunas contabilizaron 1944 búfalos y actualmente hay 1296 búfalos en la manada. Si se mantiene el decrecimiento exponencial, calcular dentro de cuántas lunas tendrán que abandonar la pradera, sabiendo que esa tribu cambia de territorio cuando quedan menos de de 100 búfalos.
Answer:
88 lunas
Step-by-step explanation:
El número inicial de búfalos, a = 1,944
El número de búfalos después de 12 semanas, y₁₂ = 1296
La forma general de una función decreciente exponencial se presenta como sigue;
y = a · bˣ
Dónde;
x = El número de lunas
b <1
a = El primer término = 1,944
Por lo tanto, tenemos;
1.296 = 1.944 × b¹²
b¹² = 1.296 / 1.944 = 2/3
b = e ^ (ln (2/3) / 12) ≈ 0,967
Cuando queden 100 búfalos, tenemos;
100 = 1.944 × (0,967)ˣ
x = ln (100 / 1.944) / ln (0,967) ≈ 87,82 ≈ 88
El número de lunas que tendrían que dejar el prado, x ≈ 88 lunas
In a statistics class, a teacher had the students complete an activity in which they grabbed as many bite-sized pretzels as they could with their dominant hand, without crushing them. The teacher then measured their handspan in centimeters. The scatterplot displays the data the teacher collected along with the least-squares regression line. One student with a handspan of 23 cm grabbed 38 pretzels. This point is circled on the graph.
What effect will the circled point have on the y-intercept?
The y-intercept will not change with the addition of this point.
The y-intercept will decrease because the point pulls the least-squares regression line toward it.
The y-intercept will increase because the point pulls the least-squares regression line toward it.
The y-intercept will increase because this point represents an extremely high number of pretzels grabbed with the dominant hand.
answer is B
We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.
What is an intercept?In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.
For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.
We see here that the answer above is the correct answer.
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A $280 suit is marked down by 30%. Find the sale price.
Answer:
To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.
Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.
So the sale price of the suit is $196.
Step-by-step explanation:
Unit rates are ALL AROUND US. If you have a phone, take a picture of a unit rate that you find at the grocery store, gas station, or as you are simply out and about. For your post, describe the picture and where you found your unit rate and what the unit rate was.
For your replies, think back and see if you recall seeing unit rates in those places. Describe how a unit rate could be used at the location where it was found.
A unit rate I found at the grocery store was 10 bananas/ $5 this describe the price for 10 bananas but can also be used to identify the price for 1 banana.
What is a unit rate?In mathematics, a unit rate can be defined as a mathematical expression that includes two units to show the rate of a specific activity. For example, the expression 50 kilometers/2 hours shows a car covers a distance of 50 kilometers in two hours, which can be simplied as 25 kilometers per hour.
What is an example of a unit rate that you can find at a grocery store?A unit rate I could observe last weekend while buying fruits and vegetables was 10 bananas/ $5. This unit rate is mainly used to inform buyers about the price of 10 bananas. However, this can also be simplified as $0.5 per banana and this would inform the buyers about the price per unit.
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An apple weighs 0.2 lb. A bag of apples contains 12 apples of this
same weight. If these apples sell for $2.10 per pound, how much
will a bag of 12 apples cost? Round off to the nearest cents.
12 apples = _____ pounds
$___ for the bag of apples
pounds
Answer:
Step-by-step explanation:
3.00
Suppose that there are some spiders in a tank and each spider has 8 legs
x=the number of spiders
y=the total number of legs on all the spiders
Which equation is correct
a. x-87
b. y=x/8
c. x=y/8
d. y=8x
Answer:
d. y=8x
Step-by-step explanation:
since y = the number of legs and spiders = x
each spider has 8 legs
so y = 8*x
which is y=8x
PLEASE HELP ASAP!!! no bots
Answer:
Vertex: (-3, -5)
Axis of Symmetry: x = -3
Step-by-step explanation:
Heres the sketch:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
whats the slope and y intercept of 10x + 5y =15
Answer:
slope = 2
y-int = -3
Step-by-step explanation:
y = 2 x − 3 is the slope-intercept form equation
Answer:
Slope: -2
Y intercept: (0,3)
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C. the function f(x) has the greater y-intercept by 72 units
Step-by-step explanation:
find f(x) y-intercept:
[tex]3(0-5)^2\\\\=3(-5)^2\\\\=3(25)\\\\=75[/tex]
the y-intercept of g(x) is 3
to find the difference subtract 3 from 75 and you get 72
The point P(2k, k) i equiditant from A(-2, 4) and B (7,-5). Find the value of k.
The value of k is 3. We have to equal the distance between PA and PB and then solve the equation by squaring both side.
Given is that P(2k, k) is equidistance from A(-2, 4) and B(7, -5).
First, we try to understand what is distance formula between 2 points
let's suppose we have 2 points (x1, y1) and (x2, y2).
Find the distance between them.
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is also applied to the distance formula for two points.
The length of the line segment bridging two points on a plane is known as the distance between the points. d=√(x2 - x1)^2 + (y2 - y1)^2 is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.
Given that PA = PB.
First, find what is PA
[tex]\sqrt{(2k+2)^2 + (k-4)^2}[/tex]
Here we will use the formula of
(a + b)^2 = a^2 + 2ab + b^2
(a - b)^2 = a^2 -2ab + b^2
[tex]\sqrt{4k^2+8k + 4 + k^2 -8k + 16}[/tex]
[tex]\sqrt{5k^2+20}[/tex].
Now find what is PB.
[tex]\sqrt{(2k-7)^2 + (k+5)^2}[/tex]
[tex]\sqrt{4k^2 + 49 -28k + k^2 + 25 + 10k}[/tex]
[tex]\sqrt{5k^2 - 18k + 74}[/tex]
PA = PB.
[tex]\sqrt{5k^2 + 20 } = \sqrt{5k^2 -18k + 74}[/tex]
squaring both sides.
5k^2 + 20 = 5k^2 -18k + 74
18k = 74-20
18k = 54
k = 3.
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Need help with this as well tyy
Answer:
<F =~ <LGH/KL = FH/JL<G =~ <KHope that helps! :)
-Aphrodite
Step-by-step explanation:
PLEASE PLEASE HELP ME WILL MARK BRAINLISTS!!!!!!
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
Answer:
All of them approach 9 when x=0
Step-by-step explanation:
HELP!! I'M COMFUSED!
The mass of particle A is approximately 6.5 x 10^-8 grams and the mass of particle B is 8.8 x 10^-27 grams. Approximately how many of particle B have the same mass as one of particle A?
Answer:
Take the ratio of the 2 numbers:
[tex] \frac{6.5 \times {10}^{ - 8} }{8.8 \times {10}^{ - 27} } = 7.4 \times {10}^{18} [/tex]
This means that it takes 7.4×10^18 particle Bs to equal the mass of particle A.
−
50
67
1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction
The answer as an exact decimal = -0.84 and simplified fraction = −21/25.
What is simplified fraction?Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.
When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.
Given that
-67/50 + 1.5 − 100% = ?
Lets solve
= -67/50 + 1.5 − 100%
= -67/50 + 1.5 − (100 × 0.01)
= -67/50 + 3/2 - 1
= -67/50 + 75/50 - 50/50
= (-67 + 75- 50)/50
= −42/50
= −21/25
= -0.84
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which of these functions is linear?
Answer:
Function 2, y = x - 5
Step-by-step explanation:
Function 1 is called an Absolute Value Function (where there is absolute value symbol around the whole or a part of the equation, its parent function is; y = |x| )
Function 2 is called a Linear Function (which could be written as y = mx + b, here m and b are integer values, b value is the y-intercept, m is the slope)
Function 3 is called an Inverse Function ( where a value is divided by a variable like "x", it's parent function is; y = [tex]\frac{1}{x}[/tex] )
Function 4 is called a Quadratic Function (it's a function where the variable is squared, it's parent function is; y = x² )
Hope this helps!
The function that represents the linear function is y = x - 5. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let's check all the options, then we have
A) y = |x| - 5, the function is an absolute function.
B) y = x - 5, the function is a linear function.
C) y = 1/x - 5, the function is a rectangular hyperbolic function.
D) y = x² - 5, the function is a quadratic function.
The function that represents the linear function is y = x - 5. Then the correct option is B.
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Express the length a, b, c, and d in the figure in terms of the trigonometric ratios of θ.
a = b = c = d =
The lengths of a,b,c, and d have been derived and expressed in terms of trigonometric ratios below.
As we can see from the figure itself, the value of a = sin θ
This can be written as such because = sin θ = Perpendicular / Hypotenuse
Here, the perpendicular = a and hypotenuse = radius = 1
= sin θ = a
The value of b = tan θ
This is because tan θ = perpendicular/base
Here, the base = radius = 1
= tan θ = b
The value of c = sec θ
This is because sec θ = Hypotenuse / Base
= sec θ = c
The value of d = cos θ
This is because cos θ = Base / Hypotenuse
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I need help with this please
Answer:
pls give me the brainliest
the answer is in the attached document
Answer:
1 13/15
You need to turn the mixed number into an improper fraction to multiply.
Pls help question 9,10 and 11. And can u explain or show how u make the equation ?
A third-grade student is asked to find the best estimated answer for the problem below by rounding to the nearest ten. 162 287 395 The student gets an answer of 840. Which of the following best describes the student's error
The error is that the student rounded off the outcome after combining the numbers.
What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.
For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
So, we have:
162 + 287 + 395 = 840
The error:
After adding the numbers, the student rounded the result.
If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.
When estimating totals, students should be taught to round numbers first before adding them.
Therefore, the error is that the student rounded the outcome after combining the numbers.
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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.
162 + 287 + 395
The student gets an answer of 840. Which of the following best describes the student's error?
g(x)=3x^2-2x+7/2x+5
find g (-1)
Answer:
-4
Step-by-step explanation:
g(-1) = 3(-1)² - 2(-1) + 7 / 2(-1) + 5
= 3-(-2)+7 / -2+5
= 5+7/-3
= 12/-3
= -4
6. A phone company charges $67 for monthly
access and $14 for each gigabyte of data
used. If you sign a two-year contract and
use 147.5 gigabytes of data, which value is
the closest approximation to the total
amount you will pay for phone service?
147.5 times 14 = 2065
And they want an estimate so just round the 147.5 to 150.0 and the 14 to a 15 and your answer is 2250
Estimate : 2250
Actual answer is : 2065
If you have any questions comment under this post
Have a wonderful day<3
Help me please possible
Answer:
1,888
Step-by-step explanation:
Im pretty sure that the answer is 1,888
here is some math for it
168+1440+280