Answer:
- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x
- $100 can travel 121.78 miles
Step-by-step explanation:
From the question, a rental company rents a luxury car at a daily rate of 39.11 $ plus $.50 per mile, that is
$0.50 is added to the initial $39.11 for every mile.
The equation that represent the cost C of renting a car and driving x miles is
C = $39.11 + $0.50x
Now, to determine how many miles 100$ can travel,
we will put C = $100, and determine x in the above equation
$100 = $39.11 + $0.50x
$100 - $39.11 = $0.50x
$60.89 = $0.50x
x = $60.89/$0.50
x = 121.78
Hence, $100 can travel 121.78 miles
find the next two numbers in the pattern -2,20,-200,2000
what is elasticity?
Answer:
the ability of an object or material to resume its normal shape after being stretched or compressed; stretchiness.
Step-by-step explanation:
Answer:
the ability of an object or material to resume its normal shape after being stretched or compressed
How do horizontal and vertical translations each affect the coordinates of the points on a figure.
Answer:
Hi there!
Your answer is:
Perform the translation:
x-10
y-3
Step-by-step explanation:
A translation is how many units X moved left/right and how many units Y moved up/down!
In your case, X went left and Y went down! This means there was a DECREASE in both of these values!
We can determine this by choosing one point and counting how many units it moved.
Lets use the point on figure 1 at (2,5)
Where did it move on figure 2? (-8, 2)
How many units left did it go? 10!
How many units down did it go? 3!
Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;
The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎
Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2
The reason the above sequence is correct is as follows:
Given that translations are rigid motion, we have;
The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2
The coordinates of the point on the top right corner of Figure 1 is (6, 8)
The coordinates of the corresponding point in Figure 2 is (-4, 5)
The sequence of translation, T, is given by the difference of the coordinates as follows;
The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎
Therefore, the sequence of translation are;
1) Shift Figure 1, 10 units to the left then 2) Shift Figure 1, 3 units down to move Figure 1 to Figure 2
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there is 3/8 of A PIZZA IN ONE BOX AND 1/4 OF A PIZZA IN ANOTHER BOX HOW MUCH DO YOU HAVE ALTOGETHER
Answer:
5/
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation: The equation is: 3/8 + 1/4 but these are unlike fractions. Lets make them like fractions.
To make them like fractions you have to find the common denominator.
Common denominator: 8
Like fraction problem: 3/8 + 2/8 =...
5/8!
Solve for the value of s.
(35+6)/(25-1)º
Answer:
615/360º
Step-by-step explanation:
Milene é doceira e a seguir está uma representação dos bombons que ela fez no dia. Do total dos bombons que fez 2/3 são de coco. Escreva a quantidade que representa os bombons de coco. *finja que aqui tem 24 bombons*
Answer:
16 bombons de coco
Step-by-step explanation:
A partir da pergunta, somos instruídos a fingir que o número total de bombons (chocolate) que ela fez = 24 bombons
Do total de chocolates que ele fez, 2/3 são de coco.
Portanto, a quantidade que representa os doces de coco é representada como:
2/3 × 24
= 16
Portanto, a quantidade de bombons de coco = 16
A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
angle of rotation is
A) 360°
B) 180°
OC) 90°
OD) 270°
Option D, 270 is the answer
Answer:
D
Step-by-step explanation:
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam? 32 40 44 48
Answer:
44
Step-by-step explanation:
Let x and y be the total number of questions in part 1 and part 2 exams respectively.
For part 1:
Number of correct question = 4/5 of the total number of question in part 1
[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]
[tex]\Rightarrow x=20[/tex]
For part 2:
Number of corrected question = 2/3 of total number of question in part 2
[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]
[tex]\Rightarrow x=24[/tex]
So, the total umbers of the questions on Stephanie's exam
=x+y
=20+24
=44
Hence, the total umbers of the questions on Stephanie's exam was 44.
What is the equation of the line passing through the points (3,1) and (6,7)
Answer:
y=2x-5
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(3,1) and (6,7).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=1.
Also, let's call the second point you gave, (6,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=7.
Now, just plug the numbers into the formula for m above, like this:
m=
7 - 1
6 - 3
or...
m=
6
3
or...
m=2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(3,1). When x of the line is 3, y of the line must be 1.
(6,7). When x of the line is 6, y of the line must be 7.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (3,1) and (6,7).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(3,1). y=mx+b or 1=2 × 3+b, or solving for b: b=1-(2)(3). b=-5.
(6,7). y=mx+b or 7=2 × 6+b, or solving for b: b=7-(2)(6). b=-5.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(3,1) and (6,7)
is
y=2x-5
Which of the following statements BEST proves that ∠XWY ≌ ∠ZYW?
A.
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
B.
If two parallel lines are cut by a transversal, then complementary angles are congruent.
C.
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
D.
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Answer: C
Step-by-step explanation:
The pair of angles created on the inner side of the parallel lines intersected by a transversal but on opposing sides of the transversal is known as an alternative interior angle. The correct option is C.
What are Alternate Interior angles?When two parallel lines are intersected by a transversal, the pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. These angles are always equal in measure.
The best statements BEST that proves ∠XWY ≌ ∠ZYW is that If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Hence, the correct option is C.
The complete question is mentioned in the image below.
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36 x 79 whats the answer show your work pls
79×36=2,844 is the multiplied amswer
what is the value of 10-¹
Answer:
100.
Step-by-step explanation:
it may be 100. im not sure though
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]10^{-1}[/tex] = [tex]\frac{1}{10^{1} }[/tex]= [tex]\frac{1}{10}[/tex]
The predicted calories in food items based on grams of fat are represented by the residual plot.
What does the pattern in the residual plot indicate about the type of model?
A. The pattern is random, indicating a good fit for a nonlinear model.
B. The pattern shows the points are far from the zero line, indicating a good fit for a linear model.
C. The pattern is random, indicating a good fit for a linear model.
D. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
E. The pattern is random, indicating that the model is unable to be determined.
Answer:
The correct option is;
C. The pattern is random, indicating a good fit for a linear model
Step-by-step explanation:
A graph that has the residuals (the difference between the value observed and the value expected (regression analysis) on the vertical axis and the variable that is not affected by the other variables (independent variable) on the x or horizontal axis is known as a residual plot
A linear regression model is suited in a situation where the points are dispersed randomly on both sides of the horizontal axis
Therefore, given that the first point is below the horizontal axis and the next point is above the horizontal axis, while the third and the fourth points are below the horizontal axis, the fifth, sixth, and seventh points are above the horizontal axis and the eighth point is below the horizontal axis, the points are random around the horizontal axis, indicating the suitability of a linear regression model.
Answer:
C. The pattern is random, indicating a good fit for a linear model.
Step-by-step explanation:
Took the test. It's 100% correct.
The perimeter of a rectangle is 90 centimeters. The length is 27 centimeters. What is the width of the rectangle?
what is the value of x in the expression 2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
a. 1
b. 3
c. 4
d. 6
Answer:
b.
Step-by-step explanation:
Given x∥y and m∠2=23° .
What is m∠7?
Enter your answer in the box.
Answer:
angle2=23°
angle7=angle5
angle2=angle6
so,angle8=23°
total angle = 180°
angle7=180°-46°=134°÷2=67°
Using corresponding angles are equal property we found that m∠7 = 157°
What are corresponding angles?When two parallel lines are intersected by an transversal line then the pair of angles formed on one same side of transversal on both parallel lines are corresponding angles. As in the figure attached ∠ 1 and ∠5 are corresponding angles.∠4 and ∠8 are also corresponding angles.
Corresponding angles are always equal.
Given that x and y are parallel lines.
Then ∠2 and ∠6 are corresponding angles , therefore m ∠2 = m ∠6
Given that m∠2 = 23°
⇒ m∠6 = 23°
As ∠7 and ∠6 are on same line hence they are supplementary
m∠7 + m∠6 = 180°
⇒m∠7 + 23° =180°
⇒m∠7 =180°- 23° = 157°
Therefore, the measure of angle ∠7 is 157°
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Given the function f(x) = 4x evaluate
f(-2)
Answer:
the answer =-8
Step-by-step explanation:
you subsitute -2 for x so its 4(-2) which is -8
Answer:
Given value x=-2, just substitute it to [tex]4^{x}[/tex]
= [tex]4^{-2}[/tex] (this uses the property [tex]a^{-m}=\frac{1}{a^{m} }[/tex])
= This results in:
[tex]\frac{1}{4^{2} } = \frac{1}{16 }[/tex]
What is 2.1 with 1 repeating as a mixed fraction
A 2 1/10
B 2 1/9
C 2 11/10
D 12/100
Answer:
the answer is B
Step-by-step explanation:
1. convert the mixed number choices to improper fractions
2. type each improper fraction into a calculator
3. see which one comes out as 2.111111111
4. find out that it's B and you'll B happy (see what I did there, it's a pun)
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 51°F and the low temperature for the same day was 45°F, what is the number of heating degree days? A. 17 B. 48 C. 113 D. 14
Given that,
The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.
Solution,
The high temperature was 51°F and the low temperature was 45°F.
Average of high and low temperatures for the day is given by :
[tex]T=\dfrac{51+45}{2}\\\\T=48^{\circ} F[/tex]
Now using formula :
H = 65 - T
H = 65 - 48
H = 17
Hence, there are 17 heating degree days.
Evaluate the expression for the given values of the variables.
5d − 4e − 14 for d = 5 and e = −7
When d = 5 and e = −7, the expression is equal to
Answer:
39
Step-by-step explanation:
5(5) - 4(-7) - 14 is what the equation should look like.
Just simplify the expression.
help
thanks!!!!!!!!!!!!!!!!!!!!!!!!!
tell me some irrational numbers
Answer:
square root of 2, pi, square root of 5, square root of 10, square root of 3, square root of 15
Step-by-step explanation:
Answer:
√8 √1.6 -√11 π √2/5
Step-by-step explanation:
alguien que me ayude por favor
i can't see the paper
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.
Use the drop-down menus to complete each statement.
The amplitude of the function is
.
The period of the function is
.
The graph has a vertical shift of
units.
Answer:
StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet
Step-by-step explanation:
The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.
A.........................................
A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.
Not a function as input values repeated: negative 3
B.........................................
StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet
Yes, it is a function
C.........................................
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.
Not a function as input values repeated: 0
D.........................................
StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet
Not a function as input values repeated: negative 12
So correct one is option B
Which of these sets of angle measures could be the three angles in a triangle?
O 60' 70'. 80°
O 70.80.90
O 50°, 60° 70°
O 40, 50, 60°
19+13x=32 plz help A:1 B:3/12/13 C:169. D:663
Answer: A
Step-by-step explanation:
19+13x+32
13x=32-19
13x=13
x=1
what is the slope of the line that passes through the points (4,-2) and (24,-17)
Answer:
-3/4
Step-by-step explanation:
Use the formula y2-y1/x2-x1. When you plug in your x and y's, you should get -17+2/24-4. Simplify and you get -15/20, Simplify again and you get -3/4
NEED HELP PLZ WILL GIVE BRAINLIEST IF CORRECT!
Answer: The line is horizontal
Step-by-step explanation:
The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it
Which values are in the solution set of the compound inequality –8 < 3x + 7 ≤ 10? Select three options.
O –15
O –5
O –3
O 0
O 1
Answer: 1&-5
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x2 - 6x – 34 = 0, which number would have to be added to "complete the
square"?
Answer:
9
Step-by-step explanation:
divide -6 by 2 then square the answer(-3)=9
The solution of x² - 6x – 34 = 0 by completing square method is
⇒x = 3 ±√43
The given quadratic equation is
x² - 6x – 34 = 0,
We know that whole square formula
(p+q)² = p² + q² + 2pq
Now convert the given expression into this form
So adding 9 both sides
⇒ x² - 6x – 34 + 9 = 9
⇒ x² - 6x + 9 = 43
⇒ x² - (2)(3)x + 3² = 43
⇒ (x - 3)² = 43
Taking square root both sides we get
⇒ (x - 3) = ±√43
Add 3 both sides we get
⇒ x = 3 ±√43
Thus the solution of the given quadratic equation is
x = 3 ±√43
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