A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.

Answers

Answer 1

Answer:

X=50 dollars Y=0.4 dollars

Step-by-step explanation:

Starting with the two equations:

$90= X(truck cost)+ Y(cost per km)*100km

and

110=X+Y*150

we solve the first equation for X: X = 90-100Y

and plug X into the second equation: 110=90-100Y+150Y

add like terms: 20=50Y

so Y = 2/5 or .4

Plug Y into the first equation: 90= X+100(.4)

Evaluate: 90= 40+X  so   X= 50

Answer 2

Answer:

X = 50 dollars

and Y= o.4 cents

Step-by-step explanation:


Related Questions

I’ll fine you brainlist if you answer please answer it’s URGENT

Answers

Answer:

6, 0, 10

B

Step-by-step explanation:

Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.

list the first 3 terms, then evaluate

Answers

Answer:

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].

Step-by-step explanation:

The given expression is

[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]

We need to find first 3 terms, then we have evaluate the value.

Here,  

[tex]a_i=1-2i[/tex]

For i=1,

[tex]a_1=1-2(1)=1-2=-1[/tex]

For i=2,

[tex]a_2=1-2(2)=1-4=-3[/tex]

For i=3,

[tex]a_3=1-2(3)=1-6=-5[/tex]

So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.

Now,  

[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]

Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.

Can someone please help me on these two questions?

Answers

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Find the surface area and volume of a cube with sides that are 6 inches.

Answers

Answer:

Step-by-step explanation:

Surface Area S=6s²

S=6(36)

S=216 in²

Volume V=s³

V=6³

V=216 in³

What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft

Answers

Answer:

12

Step-by-step explanation:

From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *

Answers

17 feet away from your house

what is the length of the hypotenuse of a triangle with legs of 8 and 19?

a. 17.2
b. 20.6
c. 297
d. 425

Answers

Answer:

B

Step-by-step explanation:

b) y and z are whole numbers.
y < 70
Z<60
Work out the largest possible value of y + z

Answers

Could it possibly be that
Y=69
Z=59
Therefore 69+59=128

If f (x) = 4x-3, what is f (x)?
Picture is the options

Answers

Answer:

I think it is option C, 3-4x

Write the slope-intercept form of the equation. 2y+5x=–1

Answers

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

square root of 36x² if x is less than or equal to 0​

Answers

Answer:

342x I believe

Step-by-step explanation:

I have gotten my answer by dividing 36 and 2 and got 18 then 18 x 18 and got 342x (I am not sure if I am correct so do not blame me sir or miss).

The circumference of a standard centre circle on a football pitch is
57.43m. What is its radius?

Answers

Answer:

9.14 m

Step-by-step explanation:

r=C

2π=57.43

2·π≈9.14027

____________________________

Solution,

Circumference of circle=57.43m

Radius=?

Now,

Circumference of circle=2 pi r

or,57.43=2*3.14*r

or,57.43=6.28*r

or,r=57.43/6.28

r=9.14 m

It's radius is 9.14m

Hope it helps

Good luck on your assignment

___________________________

Write the quadratic function f(x) = 3(x + 1)(x – 7) in standard form.

A)

f(x) = x2 – 18x – 21


B)

f(x) = 3x2 – 18x – 21


C)

f(x) = x2 – 6x – 7


D)

f(x) = 3x2 – 6x – 7

Answers

Answer:

B

Step-by-step explanation:

Given

f(x) = 3(x + 1)(x - 7) ← expand the factors using FOIL

     = 3(x² - 6x - 7) ← distribute the parenthesis

      = 3x² - 18x - 21 → B

pls help help me need help!!

Answers

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill​

Answers

Answer:

9.21

Step-by-step explanation:

Answer:

Nathan has 9.21 change if he pays a 20 bill.

Step-by-step explanation:

Solve for x. 9x=3x−3

Answers

Answer:

x=-1/2

Step-by-step explanation:

9X = 3X + -3

Reorder the terms:

9X = -3 + 3X

Solving

9X = -3 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

9X + -3X = -3 + 3X + -3X

Combine like terms: 9X + -3X = 6X

6X = -3 + 3X + -3X

Combine like terms: 3X + -3X = 0

6X = -3 + 0

6X = -3

Divide each side by '6'.

X = -0.5

Answer:

x = -0.5

Step-by-step explanation:

In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.

Step 1: Subtract 3x

6x = -3

Step 2: Divide by 6

-0.5

Step 3: Check

9(-0.5) = 3(-0.5) - 3

-4.5 = -4.5 ✅

I'm always happy to help :)

What is the volume, in terms of π, for a cylindrical
container with a radius of 3.25 centimeters and a
height of 10 centimeters? (use the formula V
= I1r2 h)

Answers

Answer:

[tex]105.625\pi cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]

Answer in terms of [tex]\pi[/tex]

[tex]105.625\pi cm^3[/tex]

Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .

Answers

Answer:

Step-by-step explanation:

a1 = 5

common difference = 2nd term - 1st term= 14 -5 = 9

n = 31

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]

Answer:

i took the tests and the answer is d

A shirt that originally cost $38.00 is on sale for 30% off. What is the sale price of the shirt?
1.
$11.40
2.
$26.60
3.
$29.23
$49.40​ this is due today pls help.

Answers

_________________________________

Solution,

Marked price (MP)=$ 38.00

Discount%=30%

Sale price (SP)=?

Now,

Discount amount= discount% of MP

=30%of 38

=$ 11.4

Again,

Sale price(SP)=MP-Discount

= 38-11.4

=$26.60

The right answer is $ 26.60

Hope it helps...

Good luck on your assignment

_______________________________

Answer:

$26.60

Step-by-step explanation:

[tex]orginal \: \: \: \: price = 38.00[/tex]

[tex]discount \\ percentage= 30\%[/tex]

First we have to find the discount.

[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]

Now let's find the sales price of the shirt.

[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the complete factorization of the polynomial below?
x3 + x2 + 4x + 4

Answers

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-4x-4  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-4x-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+x2  

Group 2:  -4x-4  

Pull out from each group separately :

Group 1:   (x+1) • (x2)

Group 2:   (x+1) • (-4)

              -------------------

Add up the two groups :

              (x+1)  •  (x2-4)

Give an example of an absolute value inequality whose answers falls between two values. Give an example of an absolute value inequality whose answers fall outside of two values. What creates the difference? Be specific. *

Answers

Answer:

A) Suppose we have an onedimensional situation.

in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:

x ∈(-6ft, 6ft)

we can write this as: IxI < 6ft

b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:

x ∉  [-6ft, 6ft].

or IxI > 6ft.

So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).

What is the difference between (8y-7) and (1-3y)

Hint: Difference is another way to say subtraction.

Answers

the difference is: 11y-8

will mark bianleast
Find the mean of the data in this set.



9.4

6

8.5

8

Answers

Answer:

The mean is 7.975.

Step-by-step explanation:

Answer:

The correct answer is  9.4, Hope this helps!

Step-by-step explanation:

I took the test and this was the correct answer!

I need help please!!!!!!!

Answers

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

Wrong answers only

what is 1+1

Answers

Answer:

Real answer is 2

Fake answers are

11

or

Window

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The snack that smiles back ℎ.

D= 90* AC=17 cm AD=10 cm CD=?cm

please in need help in this

Answers

Answer:

Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....

Answer:

CD=

[tex] \sqrt{189} [/tex]

Step-by-step explanation:

using phaythagorous theorem

CD^2+10^2=17^2

CD^2= 17^2-10^2

CD^2=289-100

CD^2=189

CD=

[tex] \sqrt{189} [/tex]

Find the volume of a cone that has a radius of 3 inches and a height of 9 inches.
(Use 3.14 for pi and round the answer to the nearest hundredth.)

Answers

Answer:

84.82

Step-by-step explanation:

I rounded it to the decimals hundredth place if I did not it would have been 84.823.

What is the value of 4x- 7 when x=4?

Answers

Answer:

9

Step-by-step explanation:

4x- 7

Let x=4

4*4 - 7

16 -7

9

Answer:

9

Step-by-step explanation:

4(4)-7=16-7=9

Find the number that makes the ratio equivalent to 2:3.

6: ___

Answers

Answer:

Step-by-step explanation:

2:3  = 6: ___

[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]

2:3 = 6 :_9___

Answer:2:3=6:9

Step-by-step explanation:

2×3/3×3=6/9

2:3=6:9 !!!!!!!!


HELP ME PLEASEEEEEEEEE

Answers

Answer:

x=24

Step-by-step explanation:

Hope this helps

Answer:

24°

Step-by-step explanation:

Take 2 lol

Once again, AOC is a straight angle, meaning it's 180°.

All you have to do is 180° - 156° and you'll get 24°, your answer.

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