Alicia rented a car for a total of $380 for 2 1/2 days. what was the cost of the car per day?

A. $56/ day
B. $66/ day
C. $ 152/ day
D. $86/ day

Answer:

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]

Let k be the constant . Therefore ,

[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]

When y = 1.5 and x = 8 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]

When x = 5 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]

Answer: 3.84

hope it helped!

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  [tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  [tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

Answer:

0.35(800)=x

x=number of tickets sold in advance

Step-by-step explanation:

Answer:

Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.

Step-by-step explanation:

Answer:

4 1/6

Step-by-step explanation:

One of the faster ways in which we can do this problem is to change the mixed numbers 1 2/3 and 2 1/2 to improper fractions.

Then the product of 1 2/3 and 2 1/2 is 5/3·5/2, which comes out to 25/6.

25/6 in turn comes out as 4 1/6 (answer)

Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

[tex]\displaystyle \frac{1}{8}L=9[/tex]

Where L represents the total length of the ribbon.

Solve for the total length:

[tex]\displaystyle L=72\text{ inches}[/tex]

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

[tex](4x)+(5x)=63[/tex]

Solve for x:

[tex]9x=63\Rightarrow x=7[/tex]

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.

Answer:

= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a

Or

= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)

Answer:

[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]

[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]

[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]

-------------------------

Hope it helps...

Have a great day!!

Answer:

[tex]43/100[/tex]

Step-by-step explanation:

First, make both of the denominators into 100.

Then, 3/10 would be 30/100.

Finally, you can add them to get 43/100.

Answer:

7/20 if you want you answer in decimal form that would be 0.35

Answer:

49/2, 17/20

Step-by-step explanation:

24.5=245/10=245÷5/10÷5=49/2

0.85=85/100=85÷5/100÷5=17/20

Answer:

Mixed numbers

a)  24  1/2  

b) 85/100 = 17/20

Step-by-step explanation:

a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5

If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200

b) rewrite 0.85 as a fraction in lowest terms

0.85 = 85% = 85/100 = 17/20

Answer:A

Step-by-step explanation:campbella helped

Answer:

A

Step-by-step explanation:

6(5-3x) -5(3x+2)

multiply each expression by the number outside the bracket

6×5=30,6×-3x=-18x -5×3x=-15x,-5×+2=-10

30-18x-15x-10

group the like terms

30-10-18x-15x

20-33x

Answer:

57

Step-by-step explanation:

( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37

202 + k = 37 x 7

202 + k = 259

k = 259 - 202

k = 57

Answer:

K. = 57

Step-by-step explanation:

Answer:

2/5 or two over five

Step-by-step explanation:

2:5

Divide each by 5

2/5 : 1

2/5 * 1

2/5

Answer: 2 over 7

Step-by-step explanation:

2/(2+5) = 2/7

Answer: the number is 3.

Step-by-step explanation:

(x × 10) + 6 = 36

[(3) × 10] + 6 = 36

Answer:

3

Step-by-step explanation

First let's create an equation

Let x = number

Product is outcome of multiplication

The product of 10 and a number can be written as 10x

Were supposed to add 6 to the product and that should equal 36

So the equation is 10x + 6 = 36

We now solve for x using basic algebra

10x + 6 = 36

Subtract 6 from both sides

10x = 30

Divide both sides by 10

X = 3

Answer is in the picture

The amount of money received by him will be $15.60.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

The amount will be calculated as follows:-

The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)

Now 16 ounces make a pound so divide by 16 we get:-

(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15

Dividing 15 by 3 we get 5 packs of 3 patties for $3.12

So amount = 3.12 x 5 = $15.60

Therefore the amount of money received by him will be $15.60.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

X = 20

The picture explains my answer

Answer:

The answer is X = 20

Answer:

1 number 1

Step-by-step explanation:

1 because of 1 of 1

Answer:

1000  hope its right

Step-by-step explanation:

8 · Find the volume of the rectangular prism with the dimensions 11 by 9 by 3. 23 in 297 in 318in 159in I think the answer is c 318 in. geometry A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Answer:

12miles

Step-by-step explanation:

wink :)

Answer:

3.5 represents the cost of each hotdog ($3.50).

Step-by-step explanation:

In y = 3.5x, the x represents the number of hotdogs and the y represents the total amount you have to pay for those hotdogs. The 3.5 represents the cost of each hotdog.

Answer:

C: 3.5+1.5x=12.5

Step-by-step explanation:

i think this is correct because in the question they use the word Gain which means you would add. But also this answer is correct because the kitten had gain 1.5 pounds PER WEEK which make 1.5x

so your answer is 3.5+1.5x=12.5

Hope this helps have a good day

and if correct pls mark me brainliest

thank you bye

Answer:

3.5 +1.5x = 12.5 (third option top- down)

Step-by-step explanation:

given : weighted 3.5 lbs. then gained 1.5 lbs. per week ended up 12.5 lbs.

translate:             3.5                   +      1.5         *        x         =           12.5

Hello!

Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²

Good luck! :)

Answer:

97cm square

Step-by-step explanation:

Answer:

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

Answer:

dimensions: 4x5x3

volume: 60 cube inches

Step-by-step explanation:

assuming each cube is a one inch cube:

the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3

the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.

Answer:

length = 5 inches

width  = 4 inches

height = 3 inches

So dimensions are 5 x 4 x 3 inches

Volume = l · w · h

V = 5 · 4 · 3 = 60 square inches.

Answer:

The data is more widely spread for Lorenzo’s scores than for Anika’s.

Step-by-step explanation:

Answer:

The data is more widely spread for Lorenzo’s scores than for Anika’s.

Step-by-step explanation:

In other words "D" trust me

Step-by-step explanation:

We need to use the formula :-

2 (l + b) × h ---> For Lateral surface area

2(30+30) h = 7200

2×60×h = 7200

120 × h = 7200

h = 7200/120

h = 60 cm

Now, volume = l×b×h

= 30×30×60

= 54000 cm³ is the required answer.

Hope it helps! :D

Answer:

54000cm³

Step-by-step explanation:

7200=4*30x，so x=60

In other words, the length of the vertical side is equal to 60cm

The volume inside the kite=60*30*30=54000cm³

Answer:

= x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)

Answer:

x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)

Hope it helped!