Select the better deal in the pair. Then give the unit rate for the better deal.
$56/25 gal or $31.05/15 gal
The better deal of the given pair is $31.05/1. The unit rate is $2.07.
What is the better deal?The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.
Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.
Unit rate = total cost / number of gallons
$56 / 25 = $2.24
$31.05 / 15 = $2,07
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Given m||n, find the value of x.
need help
Using the alternate exterior angles theorem, the value of x is: 127°.
What is the Alternate Exterior Angles Theorem?When two parallel lines are intersected by a transversal to form alternate exterior angles that lie outside on each of the parallel lines, the alternate exterior angles theorem states that both angles are equal or congruent to each other.
From the diagram given, we are told that line m is parallel to line n. transversal t crosses both lines and n. The angles, x and 127 degrees are alternate exterior angles that lie on each parallel lines.
Therefore, the alternate exterior angles theorem states that, both angles would be equal.
Thus, we can conclude that, x = 127°.
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Which of the following numbers is a whole number? A −2 C 4.1 B 3 D \pi
Answer: B
Step-by-step explanation: A whole number is a number that is not a decimal or a fraction and is over 0.
please HELP!! thank you
13.4 dollars.
This is the total amount Kelly deposit when she opened the account.
What is simple interest?Simple interest is a quick and easy way to calculate the interest on a loan. Simple interest is calculated by multiplying the daily interest rate by the principal multiplied by the number of days between payments.Here,
The total amount is determined by:
F=I(1+rt)
Where
I is the initial sum.r is the interest rate. t stands for time interval.F represents the total amount.Here given ,
r = 1.2%
t = 7
F = $126
As a result,
I = F/(1+rt)
= 126/1+1.2*7
= 13.4 dollars.
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in the game of hearts, four players are each dealt 13 cards from a deck of 52. is this a function? if so, what are the domain and codomain? is the function injective, surjective, both (bijective), or neither?
Based on the fact the game of hearts, four players are each dealt 13 cards from a deck of 52
The domain is the deck of 52 cardscodomain is 4 playersfunction, f(k) maps a card to each playerIt is surjectiveThis is further explained below.
What is a surjective Function?A surjective function is a kind of function that exists in mathematics that ensures that any element y may be transferred to element x in such a way that f(x) equals y.
To put it another way, each element that makes up the function's codomain is the mirror image of at least one element that makes up the domain.
Generally, function, f(k) maps a card to each player
And since each player is dealt 13 cards st 13 of the cards are mapped to each player.
It is a function as one card is mapped to one and only one player.
The function is not injective because 13 cards 1 are mapped to one player so it is a many-one function but the injective function does not map two elements to a common clement.
In conclusion, It is surjective as each player is dealt 13 cards. the function is not injective hence rot bijective.
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squared root 50 x squared root 8
surds
Answer:
20
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{50}[/tex] × [tex]\sqrt{8}[/tex]
= [tex]\sqrt{50(8)}[/tex]
= [tex]\sqrt{400}[/tex]
= 20
In a given country, the average price of a gallon of unleaded gasoline in 1995 was $2.54. In 2010, the average price was $3.18. Find and interpretThe average rate of change in the price of a gallon of gasoline per year. The average rate of change is $ ___ per year.(Type an integer or a decimal. Round to the nearest cent as needed.)
The rate of change is found using the slope formula
m = ( y2-y1)/(x2-x1)
We have two points
( 1995, 2.54) ( 2010, 3.18)
m = (3.18-2.54) / (2010-1995)
=.64/15
$.042666666 per year
Rounding to the nearest cent
$.04 per year
We know that the price went up from 1995 to 2010 so the price increased
It increased an average of $.04 each year
A. The price of a gallon of gasoline increased by an average of $_.04__ per year from 1995 to 2010
The scale on a map is 1 : 30000
What is the actual distance represented by 1 centimetre?
When the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre is 300 meters.
How to calculate the distance?It should be noted that in order to get the distance, we have to convert 1cm to meter. It should be noted that;
100cm = 1 meter
1cm = 1/100 = 0.01 meters.
Therefore, when the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre will be:
= (0.01 × 300000)
= 300 meters.
Therefore, the distance is 300m
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What does y-7 equal
Answer:
-7
Step-by-step explanation:
Because picture y with a 1 in front of it the divide -7 by 1 and you get -7
the length of Michelle's room is shown. The ratio of length to width is 4:3. What is the width of Michelle's room?
it is 111
The width of Michelle's room is 111 inches.
How to find the width of a rectangle?The ratio of the length to the width is 4:3.
The width of her room can be calculated as follows:
Therefore,
length = 12 ft 4 inches
Hence.
1 ft = 12 inches
12 ft = 144 inches
Hence,
length = 144 + 4 = 148 inches
Therefore,
x = length + width
4 / 7 × x = 148
4x / 7 = 148
cross multiply
4x = 148 × 7
4x = 1036
x = 1036 / 4
x = 259
Hence,
width of the rectangle = 259 - 148
width of the rectangle = 111 inches
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A triangle is dilated by a factor of 2 and then rotated clockwise Which statement about the triangle's image and pre-image is correct?
Answer:
what are th e statements though
I don't understand what I'm doing, I'm confused irritated and I just need some help
Answer:
See explanation
Step-by-step explanation:
Slope: 4 since $4 was made per ticket. $4/1=$4.
Equation: y=mx+b
0=4(0)+b ==> the function has a point on the origin, (0,0).
0=0+b
b=0
y=4x+0
y=4x ==> equation of line
Answer:
day 1: $4
day 2: $8
day 3: $12
day 4; $16
Step-by-step explanation:
y= 4x
cuz you add 4 each time
The table shows information about the masses of some dogs. a) Work out the minimum number of dogs that could have a mass of more than 27 kg. b) Work out the maximum number of dogs that could have a mass of more than 27 kg. Mass, x (kg) 0≤x≤10 10≤x≤20 20≤x≤30 30≤x≤40 Frequency 3 9 13 4
Information regarding various dogs' masses is displayed in the table.
(a) 4 bare minimum number of dogs that could weigh more than 27 kg.
(b) 17 dogs, in total, may weigh more than 27 kg.
Given that,
Information regarding various dogs' masses is displayed in the table.
(a)Calculate the bare minimum number of dogs that could weigh more than 27 kg.
(b)Calculate how many dogs, in total, may weigh more than 27 kg.
(a) 4 bare minimum of dogs that could weigh more than 27 kg.
Because the minimum number so lets assume that all dogs in 20≤x<30 are less then 27.
Therefore, 4 bare minimum of dogs that could weigh more than 27 kg.
(b) 17 dogs, in total, may weigh more than 27 kg.
Because the maximum number so lets assume that all dogs in 20≤x<30 are more then 27.
4+13=17
Therefore,17 dogs, in total, may weigh more than 27 kg.
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Answer:
Step-by-step explanation:
Q.1. Solve the following equations:
i. 10 s + 100 = 1000
ii. 12 m - 5 = 25
Please explain properly and give step by step answer this question contains 20 points i will also mark u as brainliest
[tex]10s = 1000 - 100[/tex]
i)WHEN GROUPING LIKE TERMS 100 WAS GROUPED WITH 1000 SINCE IT CHANGED PLACE IT ALSO CHANGED THE SIGN FRKM POSITIVE TO NEGATIVE.[tex]10s = 900[/tex]
NOW TO GET THE VALUE OF s it means we will have to divide both sides by the coefficient os s which is 10.Meaning 10 will divide 10s and also 900 we get:
[tex] \frac{10s}{10} = \frac{900}{10} \\ s = 90[/tex]
ii) WE ALSO HAVE TO GROUP TERMS HERE. IT MEANS -5 WILL BE GROUPED WITH 25 BUT WHEN IT CHANGES POISTION IT WILL ALSO CHANGE SIGN.[tex]12m = 25 + 5 \\ 12m = 30 \\ \frac{12m}{12} = \frac{30}{12} \\ m= \frac{30}{12} \\ m = \frac{15}{6} [/tex]
Please answer ASAP and thank you
Answer:
The last answer is correct.
Step-by-step explanation:
The plant start at 4 inches (0,4) and then grows 1 inch each week.
(1,5), (2,6).(3,7) and so on.
Help with this need to turn please help
Based on the graph given on the height of the helicopter, the slope and y-intercept of the function would be:
0 = Neither 5 = Neither 10 = Slope 50 = y-intercept 100 = Neither How to find the slope and y-intercept?To find the slope of the line om the height of the helicopter, the formula is:
= Change in y / Change in x
= (100 - 50) / (5 - 0)
= 50 / 5
= 10
The y-intercept takes the form b in the linear equation model:
y = mx + b
100 = 10(5) + b
b = 100 - 50
b = 50
The slope is 10 and the y-intercept is 50.
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Angela, Emily, and Christina are on their school’s soccer team. The table below shows the number of shots each player made and missed.
The ratio of shots made to the shots missed for each player will be:
Angela = 4:1
Emily.= 3:1
Christina = 7:3
How to illustrate the ratio?It should be noted that from the information given, Angela made 12 shots and missed 3 shots. Therefore the ratio is:
= 12/3
= 4/1
= 4:1
Emily made 15 shots and missed 5 shots. Therefore the ratio is:
= 15/5
= 3/1
= 3:1
Christina made 21 shots and missed 9 shots. Therefore the ratio is:
= 21/9
= 7/3
= 7:3
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- Graph the solution of the absolute
value inequality on the number
line.
2|x + 3|+1>3
Number line with open circles on -4 and -2, with shading in opposite directions.
Solution:Given: 2 |x + 3| +1 > 3 absolute value inequality.
We must solve and graph the following absolute value inequality:
2 |x + 3| +1 > 3
Take a look at the following absolute value inequality: 2 |x + 3| +1 > 3
We have to apply absolute rule:
If |u| > a , a > 0 then u < -a or u > a.
2|x + 3|+1 < -3 or 2|x + 3|+1 >3
Consider inequality first.
2|x + 3|+1 < -3
When we subtract 1 from both sides, we get,
2|x + 3| +1 -1 < -3 -1
Simplify,
2 |x + 3| < -4
We get by dividing both sides by two,
(2|x + 3|)/2 < -4/2
|x + 3| < -2
There is no solution for x ∈ R.
Now consider the second inequity.
2|x + 3|+1 >3
When we subtract 1 from both sides, we get,
2|x + 3|+1 - 1 >3 - 1
Simplify,
2|x + 3| >2
We get by dividing both sides by two,
(2|x + 3|) / 2 >3/2
|x + 3| > 1
x + 3 < -1 or x + 3 >1
x < -4 or x > -2
As a result, we have the solution to the absolute value inequality:
2|x +3|+1 > 3 as
On the number line shown below.
On the graph shown below.
As a result, the number line has open circles on -4and -2, with shading going in opposite directions.
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15/14 multiplied by 4/3
The function a(t) = 44,000(1.045)^t models Johanna’s annual earnings a, in dollars, t years after she starts her job.
Which of the following statements are true about Johanna’s salary?
Johanna initally earns $44,000 per year. True or False
Johanna initially earns $45,980 per year. True or False
Johanna’s salary increases by 1.045% per year. True or False
Johanna’s salary increases by 4.5% per year. True or False
Johanna’s salary increases by 104.5% per year. True or False
This represents an exponential growth. True or False
This represents exponential decay. True or False
Step-by-step explanation:
true.
false.
true.
true
.true.
false.
true..
please mark me as brainlist
what is my name and my class
iyaazs humaizAnswer:
y-step explanation:
What is the equation of the line that passes through the point (-3,2) and has a slope of 2/3
Answer: y = 2/3 -2
Step-by-step explanation: using a graph you can plot the point (-3, 2).
After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.
the volume of a cube shaped crate i 27 cubic feet. what is the length of one edge of the crate?
Answer: The length of the edge of the crate is 3 feet.
Step-by-step explanation:
The formula of the volume of a cube is the cube of edge length.
The volume of the cube (V) = (edge)³ ...................................(1)
In the given question volume is 27 cubic feet.
So, V = 27 cubic feet
Now we replace the Volume with the edge using equation (1)
i.e. (edge)³ = 27
or we can say that the cube root of the edge is equal to 27
i.e. edge = ∛27
which is equal to 3
hence, edge = 3 feet
To calculate the cube root write prime factors of 27 and group them in groups of three
i.e. ∛27 = ∛(3×3×3) = ∛ (3)³ = 3
one side of rectangle is 5cm than the other side. its perimeter is 38 cm. find the measure of the sides
The measure of the sides of rectangle is 14cm.
What is rectangle?Each pair of neighboring sides in a rectangle are perpendicular, making it a special case of a parallelogram. A parallelogram is a specific type of trapezium, also referred to as a trapezoid in North America, in which the lengths of the two pairs of opposite sides are parallel. A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equal sides.
Given that,
One side of rectangle is 5cm than the other side.
Its perimeter is 38 cm.
P = 2b +2 h
38= 2b+ 2(5)
38= 2b+ 10
38-10= 2b
28= 2b
b = 28/2
b= 14cm.
Therefore, the measure of the sides is 14cm.
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assume that your compute completes a 5000 equation back substitution in 0.005 seconds. use the approximate operation counts n 2 for back substitution and 2n 3/3 for elimination to estimate how long it will take to do a complete gaussian elimination of this size.
In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Given that your computer completes a 5000 equation back substitution in 0.005 seconds.
then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000
and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33
then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds
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Find the midpoint of each line segment
Answer:
(10, -3)
Step-by-step explanation:
It is stated in the given information.
what is 2/3 times 1/16
Answer:
1/24
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
so first you cross out the 2 and 16 because 2*8=16
then you multiply the numerator and the denominator.
then bam! your answer!
1/24
as soon as possible please!
Answer:
C). [tex]1 - sec^{2} A[/tex]
Step-by-step explanation:
Lets say the bottom side is X, right side is Y, and hypotenuse is H.
[tex]tan A = \frac{Y}{X}[/tex]
[tex]tan B = \frac{X}{Y}[/tex]
[tex]\frac{tan A}{tan B} = \frac{\frac{Y}{X}}{\frac{X}{Y}} = \frac{Y}{X} * \frac{Y}{X} = \frac{Y^{2} }{X^{2}} = (\frac{Y}{X})^{2} = tan^{2} A= 1 - sec^{2} A[/tex]
Which transformation
does not always preserve distance?
1 (x,y) → (x + 2, y)
2 (x,y) → (-y, -x)
3 (x,y) → (2x, y - 1)
4 (x,y) → (3-x, 2-y)
From Option 1,2,3 and 4.
Option 3 transformation is A dilation does not always preserve distance.
Give that,
We have to find which transformation does not always preserve distance.
1 (x,y) → (x + 2, y)
2 (x,y) → (-y, -x)
3 (x,y) → (2x, y - 1)
4 (x,y) → (3-x, 2-y)
Option 3 is A dilation does not always preserve distance.
Dilation means a modification of this kind that alters the size of the image is called a dilatation. How much larger or smaller the image is is determined by the scale factor, often known as the scalar factor. A picture of each type of dilatation is shown below (one that gets larger and one that gest smaller).
Therefore, Option 3 transformation is A dilation does not always preserve distance.
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given that f(x) =3x+7 and g(x) x2/2 what is the value of f(g(4))
Given the following functions:
[tex]\begin{gathered} f(x)=3x+7 \\ g(x)=\frac{x^2}{2} \end{gathered}[/tex]to find f(g(4)), we can start by finding g(4) first:
[tex]\begin{gathered} x=4 \\ \Rightarrow g(4)=\frac{(4)^2}{2}=\frac{16}{2}=8 \\ g(4)=8 \end{gathered}[/tex]now that we know that g(4) = 8, we can calculate the composition f(g(4)):
[tex]undefined[/tex]Answer:
f(g(4) ) = 31
Step-by-step explanation:
evaluate g(4) then substitute the value obtained into f(x)
g(4) = [tex]\frac{4^2}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8 , then
f(8) = 3(8) + 7 = 24 + 7 = 31