Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
due today
Answers
The answer is f(x)=1/2x+25
Related Questions
Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)
1 50
2 45
3 40
4 35
The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:
Function 2
y = −6x + 50
Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
Answers
Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”
A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?
Answers
Answer:
1. 140 in²
2. 2.25 in²
3. 182 in²
4. 55 in²
5. 374.75 in²
Step-by-step explanation:
1. Area of each triangle: 10*7*1/2 = 35 in²
Area of the roof = 4*35 = 140 in²
2. Area of the entrance hole: 1.5*1.5 = 2.25 in²
3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²
Area of the sides: 4*45.5 = 182 in²
4. Area of the square of the base: 5*5 = 25 in²
Area of each rectangle: 1.5*5 = 7.5 in²
Area of the four rectangles = 4*7.5 = 30 in²
Area of the base: 25 + 30 = 55 in²
5. The total amount of material needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²
Please help with the question below
Answers
Answer:
Not a solution.
Step-by-step explanation:
2=-3/4(3)+3
2=-9/4+3
2 does not equal 3/4.
Therefore, it is not a solution.
Answer:
False
Step-by-step explanation:
Just plug it in.
[tex]2 = -\frac{3}{4}*3 + 3[/tex]
2 = -2.25 + 3
2 ≠ 0.75
It is not equal so it's false.
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answers
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
951/3 i dot know because it is to hard
Answers
Answer:
317
Step-by-step explanation:
951/ 3 is 317
for this problem you can use a calculator, or long division.
PLEASE HELP ME!....Check all that are possible units for measuring time in the metric system. A. Millisecond B. Hour C. Second D. Meter
Answers
Answer: A
Step-by-step explanation:
Took the test
Can you people help me please
Answers
The right answer is -2.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
WILL GIVE BRAINLIEST! 20 POINTS!
Answers
Answer:
The second option
Step-by-step explanation:
Since CD is a perpendicular bisector of AB, D is equidistant from both A and B
Answer:
B.
Step-by-step explanation:
A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.
Can u please help me.
Answers
Answer: X60 degrees Y40 degrees
Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40
please help me people thank you in advance
Answers
Answer:
[tex]-\dfrac{11}{12}[/tex]
Step-by-step explanation:
[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]
Hope this helps!
Based on the following calculator output, determine the mean of the dataset,
rounding to the nearest 100th if necessary.
1-Var-Stats
ī = 106.142857143
Ex = 743
2.c2 = 79453
Sx = 9.90670768433
or = 9.17182909673
n = 7
min X = 98
Q = 98
Med = 100
Q3 = 116
maxX = 121
Answers
Answer:
106 1/7
Step-by-step explanation:
The line ...
ī = 106.142857143
tells you the mean of the dataset is 106 1/7.
2a) What is the side length of the following square?*
Answers
Answer:
Exact answer: [tex] \sqrt{29} [/tex]
Approximate answer: [tex] 5.385 [/tex]
Step-by-step explanation:
Start at the bottom vertex.
Go up 5 units, then go left 2 units. Now you're at the left vertex.
The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.
We now use the Pythagorean theorem to find the length of the hypotenuse.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 2^2 [/tex]
[tex] c^2 = 25 + 4 [/tex]
[tex] c^2 = 29 [/tex]
[tex] c = \sqrt{29} [/tex]
[tex] c \approx 5.385 [/tex]
What is the surface area of the prism, in square centimeters?
Answers
Answer:
182
Step-by-step explanation:
2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )
= {182cm}^{2}
The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,
Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)
Now, the Area of a rectangular face is,
Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)
= 160 cm²
The area of the triangle base,
Area = 0.5 × 4cm × 6cm = 12 cm²
Further, the total area of the Prism will be,
Total surface area = 160cm² + 2(12cm²) = 184cm²
Hence, the total surface area of the prism is 184 cm².
Learn more about Area:
https://brainly.com/question/1631786
#SPJ2
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.
Answers
Answer:
Step-by-step explanation:
complementary angles =90 degrees
Angle 2+ angle 1 = 90 degrees
Angle 1 =35 degrees
Angle 2 = 90-35 = 45 degrees
Angle 2 + angle 3 = 90
Angle 3= 90-45 = 35 degrees ( proved)
I hope this help
Answer:
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the
✔ congruent complements theorem
, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of
✔ congruent
angles. Then, using the
property
✔?
, the measure of angle 3 is
✔ 35
degrees.
Step-by-step explanation:
Create a two column proof for each question. Please help!!
Answers
Answer:
In this way it is proved
Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?
Answers
Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.
Answers
Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
If two right triangles each have a 30° angle, then the
triangles must be
Answers
Answer:
Both are right triangles. That means they both have a 90∘ angle. They also both have a 30∘ angle.
It follows that both triangles have a 60∘ angle:
180∘−90∘−30∘=60∘.
So they have three angles in common.
The triangles are CONGRUENT as per the AAA rule of congruency.
Express the quotient in simplest form.
Answers
Answer:
(x-2)
----------------
x^3
Step-by-step explanation:
(x^2 -4) x^3 -x^2 -6x
------------ ÷ ---------------------
x^3 + 7x^2 x^2 +4x -21
Copy dot flip
(x^2 -4) x^2 +4x -21
------------ * ---------------------
x^3 + 7x^2 x^3 -x^2 -6x
Factor
(x-2)(x+2) (x+7)(x-3)
------------ * ---------------------
x^2(x+7) x(x-3)(x+2)
Cancel like terms
(x-2) 1
------------ * ---------------------
x^2 x
(x-2)
----------------
x^3
WILL GIVE BRAINLIEST!! TONS OF POINTS!!
Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the construction?
Use complete sentences to describe the transformations present in your construction.
** this should be a well thought out, descriptive, and accurate response.
Answers
Answer:
Step-by-step explanation:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)
Answers
Answer:
The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.
Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
[tex]Circumference = d\pi[/tex]
We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.
7 * 2 = 14
Now, let's plug in 14 into our formula. We will 3.14 for pi.
[tex]Circumference=(14)\pi[/tex]
[tex]Circumference=43.96[/tex]
This number rounded to the nearest tenth is 44.
Answer:
Answer is 44 m
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
A line passes through the point (-3,1) and has a slope of -2
Answers
Answer:
Step-by-step explanation:
y - 1 = -2(x + 3)
y - 1 = -2x - 6
y - 1 + 1 = -2x - 6 + 1
y = -2x - 5
What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ
Answers
Answer:
For the statement;
If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]
The contrapositive statement is therefore;
If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
Answer:
If M is not the midpoint of , then is not congruent to
Step-by-step explanation:
Four friends hosted a Graduation party: Genesis spent $21 for drinks, Mya spent $25 for food, Alina spent $16 for invitations, and Mylana spent $18 for decorations. The friends want to share the party expenses equally, and Alina will pay the entire amount she owes to one person. Who owes money to whom?
Answers
Answer:
Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.
Step-by-step explanation:
As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:
$21+$25+$16+$18= $80/4= $20
As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.
Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.
Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.
Use the distributive property to write the following sum as a product.
17a+17b
Answers
Answer:
17(a+b)
Step-by-step explanation:
17 is distributed in the initial equation to both the a and the b
Answer:
17(a+b)
Step-by-step explanation:
Factor out the common term
17a+17b
17(a+b)
A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.
Answers
Answer:
3.45
Step-by-step explanation:
If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.
So, divide 38 by 11.
38/11 = 3.454545
Round to nearest hundredth: 3.45
Answer:
3.45 pages per minute
Step-by-step explanation:
Take the number of pages and divide by the number of minutes
38 pages/11 minutes
3.45454545 pages/minute
To the nearest hundredth
3.45 pages per minute
HELP ASAP!!!! There is a clip below.
Answers
Answer:
7/4 x 3/2 x 1/2 = 1 5/16 or 21/16
Step-by-step explanation:
Quadrilateral ABCD is rotated 270° clockwise about the origin. What is the orientation of the rotated figure, and what quadrant does it lie in?
Answers
Answer:
The other person is right, I believe it is the fourth Quadrient
Step-by-step explanation: how ever there are two fourth Quadrient answers. I think it is the second fourth Quadrient one with C and B at the top. I rotated the shape and that's how it looked.
When a shape is rotated, it must be rotated through a point.
The orientation of the rotated figure is uprightThe quadrant of the rotated figure is quadrant IV.The current location of the quadrilateral is quadrant III.
A 270 degrees clockwise rotation would move the shape 3 quadrants backwards.
i.e. quadrant 2, quadrant I, and quadrant 4.
Hence, the quadrant of the rotated figure is quadrant IV.
Read more about rotation at:
https://brainly.com/question/9966113
Which expressions are equivalent to -90-60w
Answers
Answer:
Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.
Step-by-step explanation:
plz help plzzz thank you
Answers
Answer:
rectangles
Step-by-step explanation:
convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.
