on vacation, your family decides to rent a car. The total cost involves the one time rental fee of $56.34 and $0.49 per mile
Which expression represents the total rental cost in terms of the rental fee and the cost per mile

A. 56.34 +.49x
B.56.34 - .49x
C. -56.34 - .49x
D. 56.34x + .49

Answers

Answer 1
the correct answer is "A" because you have the base charge "$56.34" the you add on the miles which is $0.49 every mile

Related Questions

At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°

Answers

Answer:

60

Step-by-step explanation:

Answer:  The hexagon will rotate onto itself at 60°.

Step-by-step explanation:

A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.

For a regular polygon , Order of rotation of the figure = Number of sides .

i.e.  Order of rotation for hexagon = 6

Let [tex]\theta[/tex] be the angle at which hexagon rotate onto itself, then we have

[tex]\theta=360^{\circ}\ \div6=60^{\circ}[/tex]   [∵One complete rotation= [tex]360^{\circ}[/tex]]

Hence, The hexagon will rotate onto itself at 60°.

Please help with #10 and #11

Answers

Divide ans Subtract 
Assuming it was just one whole family so 
51 - 6 = $45
45 ÷ 4.5 = (Answer for number 10)There was 10 people on the whole family 




10) Let x be the number of people of this family:
The total paid with the parking is $51
The total paid WITHOUT the parking is $51-$6 = $45
They spent $3.5(x) for the entry, they also spent $5.5(x) for the pass:
3.5(x) + 5.5(x) = 45
9x = 45 and x = 5 people

11) Translate English to Math language:
Let x be this number:
5.x - 18 - 4.x = -36

x - 18 = -36 Add 18 to both sides
x - 18 + 18 = - 36 + 18
x = - 18


In the figure, angle D measures 31° and angle A measures 27°.

The measurement of angle B is °.
The measurement of angle F is °.

Answers

Angle b is 63
Angle f is 59

Answer:

63 and 59 are correct

Step-by-step explanation:

Find an equation of the tangent line to the function y = 4x4 at the point p(1, 4).

Answers

hello : 
f(x) = 4x4
f'(x) = 16x3
f(1) =4
f'(1) = 16
an equation of the tangent line is :  y - 4 = 16(x - 1)

The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given as,

y = 4x⁴

The slope of the line is given as,

m = y'

m = 16x³

m = 16 (1)³

m = 16

Then the equation of the tangent line is given as,

y = 16x + c

The equation is passing through (1, 4). Then we have

4 = 16 (1) + c

4 = 16 + c

c = - 12

The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.

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Molly jogged at a rate of 6 miles per hour. what is her rate in feet per second?

Answers

1 miles = 5280 ft....so 6 miles = (6 * 5280) = 31680 ft
60 seconds in a minute.....60 minutes in an hr....(60 * 60) = 3600 seconds in an hr

31680 / 3600 = 8.8 ft per second <==

Answer: the correct answer would be 8.8 ft/s

Which function below is the inverse of f(x)=x^2-25

Answers

f(x) = x^2-25

 inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

 Answer is B

.help me please thank you

Answers

the first one because all the other ones are wrong


the answer is B
hope it helps

What is the common number between 1, and 100?

Answers

50 is a common number Broski

Which equation can be used to solve this problem?

Molly bought 6 packs of trading cards. Each pack cost $3. She also bought 1 pack of gum. It cost $2. How much did Molly spend altogether?

A.
6 ÷ 2 × 3 = x

B.
6 + 3 × 2 = x

C.
6 × 3 ÷ 2 = x

D.
6 × 3 + 2 = x

Answers

$12 dollars I think sorry if I got it wrong

The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base?

Answers

see diagram

so we got a right triangle

so for a right triangle, when we've got legs a and b and hytponuse c then
a²+b²=c²


so the legs are 90 and 90
hytponuse is distance from home to 2nd

so
90²+90²=c²
8100+8100²=c²
16200=c²
sqrt both sides
90√2=c
aprox
127.279ft
about 127ft
Assuming that the bases are all within right angles of each other:
Form a triangle with vertices at home base, first, and second. Home to first is 90ft and first to second is also 90ft.
Use the formula a^2+b^2=c^2 to find the the missing length.
90^2+90^2=c^2
8100+8100=c^2
16200=c^2
Sqrt(16200)=c
c=127.279

6x equals 7-4y solve for y

Answers

The given values of x, the corresponding values of y are:

1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]

2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]

3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]

Let's solve the equation [tex]\(6x = 7 - 4y\)[/tex] for y:

[tex]\[6x = 7 - 4y\][/tex]

First, isolate the term with y:

[tex]\[4y = 7 - 6x\][/tex]

Next, divide both sides by 4 to solve for y:

[tex]\[y = \frac{7 - 6x}{4}\][/tex]

Now, we can find the values of y for each given value of x:

1. For x = -2:

 [tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]

2. For x = -1:

 [tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]

3. For x = 0:

[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]

Therefore, for the given values of x, the corresponding values of y are:

1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]

2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]

3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]

Complete question:

Solve equation for y. Then find the value of y for each value of x.

6x = 7 - 4y; x = -2, -1, 0

Final answer:

To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.

Explanation:

To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:

6x - 7 = -4y

Next, we can divide both sides by -4 to solve for y:

y = (6x - 7) / -4

Plants A birch tree grew 2.5 inches in five months. A bean plant grew 8 inches in 10 months. It rosebush grew 5 inches in eight months. Which grew faster?

Answers

Birch:
2.5in/5mo=.5in/mo
Bean:
8in/10mo=.8in/mo
Rosebush:
5in/8mo=.625in/mo

Bean

Answer:

Bean plant grew faster .

Step-by-step explanation:

As given

Plants A birch tree grew 2.5 inches in five months.

i.e 2.5 inches = 5 months

Now calculate birch tree in one month .

[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]

                                                               = 0.5 inches

As given

A bean plant grew 8 inches in 10 months.

i.e 8 inches = 10 months

Now calculate bean plant in one month .

[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]

                                                                = 0.8 inches

As given

It rosebush grew 5 inches in eight months.

i.e 5 inches = 8 months

Now calculate rosebush in one month .

[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]

                                                                = 0.63 inches (Approx)

Therefore Bean plant grew faster .

The point (4,-3) lies on the circle centre (-2,5). Find the radius of the circle

Answers

General equation of a circle:
(y-k)² + (x-h)² = R², where h and k are the center of the circle, which is O(-2,5)

(y-5)² + (x + 2)² = R², but this circle passes through (4,-3). Then:

(-3 - 5)² + (4+2)² = R²

64 + 36 = R²

R² = 100   and R = 10

The radius of the circle with the given coordinates is 6.32 units.

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Given that, the point (4,-3) lies on the circle center (-2,5).

Using distance formula we can find the radius of a circle

We know that, Distance =√[(x2-x1)²+(y2-y1)²]

Now, radius =√[(-2-4)²+(5-(-3))²]

=√[(-6)²+(2)²]

= √36+4

= √40

= 6.32 units

Therefore, the radius of the circle is 6.32 units.

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Which expression is represented by the number line?

Answers

b is the answer
hope it helped

Answer:

3 - 5.5 +1.5

Step-by-step explanation:

LEts analyze the given number line

We always start with 0

Arrow goes 3 units to the right, so we put positive 3

from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5

from -2.5 we add 1.5 to reach -1

So the expressio becoems 3 and then subtract 5.5 and then add 1.5

3 - 5.5 +1.5

what is the coefficient in the algebraic expression 7XY squared ?

Answers

Coefficients are the number(s) before the variables in an equation or expression. Since 7 is before the variables, 7 is the coefficient. Good luck!

Of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit to climb the mountain. What is the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?

Answers

take 12 of 200 to determine amount of fit men

12% × 200 or .12 × 200

= 24

24 men are fit enough

so, since they are asking male + the amount of people fit enough, you must subtract the fit men from the fit people so you are not doubling the men

60 - 24 = 36

now add the fit people to the male group

so

36+200 = 236

so your answer is

236/500
118/250
59/125
47.2%

The probability that a person picked at random from the group is a male or is fit to climb Mount Shasta is 47.2%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Take 12 of 200 to determine the number of fit men,

Fit men = 12% × 200

Fit men = 0.12 × 200

Fit men = 24

Since they are asking males and the number of people fits enough, you must subtract the fit men from the fit people so you are not doubling the men

60 - 24 = 36

Add the fit people to the male group,

36+200 = 236

The probability will be calculated as,

P = 236/500

P = 118/250

P = 59/125

P = 47.2%

The probability is 47.5%.

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type the slope intercept equation of the line that passes through the point (1,1)&(7,4) enter fraction in simplest form

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ 1}})\quad % (c,d) &({{ 7}}\quad ,&{{ 4}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{4-1}{7-1}\implies \cfrac{3}{6}\implies \cfrac{1}{2}[/tex]

[tex]\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-1=\cfrac{1}{2}(x-1)\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-1=\cfrac{1}{2}x-\cfrac{1}{2}\implies y=\cfrac{1}{2}x-\cfrac{1}{2}+1\implies y=\cfrac{1}{2}x+\cfrac{1}{2}[/tex]

help with question 47 please

Answers

[tex]\bf (x-y)^2\implies x^2-2xy+y^2\qquad \begin{cases} x^2=25\\ x=\sqrt{25}\\ x=5\\ -----\\ y^2=9\\ y=\sqrt{9}\\ y=3 \end{cases} \\\\\\ (25)-2(5)(3)+(9)\implies 25-30+9[/tex]

Nikos sold muffins at his club's bake sale.he spent $28.50 on supplies. he sold his muffins for $0.75 each, and made a profit of $36.75. write and solve an equation to find out how many muffins nikos sold.

Answers

Divide $0.75 by $36.75? Sorry if I'm wrong, mathematics isn't my best subject.

the vertices of a parallelogram are j (-5,0) K(1,4), L(3,1) and M(-3,-3). How can you use slope to determine whether the parallelogram is a rectangle? is it a rectangle? Justify your answer.

Answers

Final answer:

To determine if the parallelogram is a rectangle, we can use the slopes of its sides. Given the coordinates of the vertices, we can calculate the slopes and compare them. If the opposite sides have equal slopes, then the parallelogram is a rectangle.

Explanation:

To determine if the parallelogram is a rectangle, we can use the slopes of its sides. A rectangle has opposite sides that are parallel and equal in length, so the opposite sides of a rectangle will have equal slopes.

Using the given vertices, we can find the slopes for the sides:

Slope of JK = (4 - 0) / (1 - (-5)) = 4/6 = 2/3

Slope of KL = (1 - 4) / (3 - 1) = -3/2

Slope of LM = (-3 - 1) / (-3 - 3) = -4/-6 = 2/3

Slope of MJ = (0 - (-3)) / (-5 - (-3)) = 3/(-2) = -3/2

Since the opposite sides JK and LM have equal slopes of 2/3 and the opposite sides KL and MJ have equal slopes of -3/2, we can conclude that the parallelogram is a rectangle.

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Which set is an example of like fractions?

Answers

Simplify:
20/100 20 ÷ 2 = 10 100 ÷ 2 = 50. 
Answer: 10/50 but 5 = both 10 and 5 so 10 ÷ 2 = 5 and 50 ÷ 2 = 25. 
Answer: 5/25 = 1/5 = 5 because 5 ÷ 5 = 1 and 25 ÷ 5 = 5.
That's what a like fraction is. Hope you get this right and I hope you do great on your homework for a test you might have later. :)

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h ( g ( -4 ) ) ?

Answers

[tex]\bf \begin{cases} f(x)=2x-1\\ g(x)=3x\\ h(x)=x^2+1 \end{cases}\\\\ -------------------------------\\\\ g(-4)=3(-4)\implies \boxed{g(-4)=-12} \\\\\\ h(~~g(-4)~~)\implies h\left( \boxed{-12} \right)\implies h(-12)=(-12)^2+1 \\\\\\ h(-12)=144+1[/tex]


Please help!
Which of the following functions has the greatest y-intercept?

f(x)
x y
(−3, 9)
( −2, 4)
(−1, 1)
(0,0)
( 1, 1)
(2 ,4)

g(x) = 5 cos(3x) − 5

Answers

I just know that the answer is not f(x) by itself. I don't know if it's f(x) with g(x). Or not enough information

The answer is both. Desmos graphing calculator is a great tool if you don't have a calculator on you. Hope this helps!

If the measures of two complimentary angles are 7x and 11x , then find x

X=5
X=10
X=22.5
X=12

Answers

as you know that sum of complementary angles equal 90°

so,

7x + 11x = 90
18x = 90
x = 90/18
x =5


so,
option A is the correct one.

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles whose sum is 90º

So, if we have two complementary angles 7x and 11x we know that their sum is 90

We are going to write the equation and solve for x:

[tex]7x+11x=90\\18x=90\\x=90/18\\x= 5[/tex]

Therefore, x would be 5. And the angles would be 7(5) = 35º and 11(5) = 55º

Find the length of the segment then find the coordinates of the midpoint of the segment

Answers

look for the middle of the coordinate plane

Which mixed number is greater than 6.78?

A.6 2/7

B. 6 3/4

C. 6 7/9

D.6 4/5

Answers

D because D as a non-fraction is 6.8

Find f(-5) if f(x) = |x + 1|.

A.4
B.5
C.6

Answers

Replace the variables with the value we are given.

f(-5) = |-5 + 1|
f(-5) = |-4|
f(-5) = 4

So, when x is equal to -5, the output is 4.

Solve for x.

2/5≤x−4

Answers


2/5≤x−4
2/5+4<=x
22/5<=x

What is the average of all integers from 11 to 35

Answers

24 becuase add the two together then divide by two
1st let's calculate the sum from 1 to 35:

it's an arithmetic progression  with first term a = 11, last term = 35 and the number of term n = 25

s= (11+35)25/2 = 575

Average = 575/25 = 23

Susan's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Susan's bank hold?

Answers

576 is the answer, I think!!!  Is it multiple choice?
Since 360 pennies are added to Susan's penny bank and it ends up as being 5/8 full, we need to find out how many pennies is equivalent to 8/8 (1, or full).

We already know that 360 equals 5/8 of Susan's penny bank, so divide 360 by 8.

360 / 8 = 45

Then, multiply 45 by 3 in order to find how many pennies is equivalent to 3/8 of the penny bank.

45 x 3 = 135

After that, add 360 to 135, which is theoretically the same as 5/8 + 3/8.

360 + 135 = 495

5/8 + 3/8 = 8/8 or 1

Therefore, Susan's penny bank can hold 495 pennies in total.






P.S. This may not be your preferred method of solving this problem, but this is certainly one of the ways of understanding them. -AM



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