Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?

Answer:

[tex]1 = 4x -y[/tex]

Step-by-step explanation:

Distribute the 4

[tex] y + 7 = 4x + 8[/tex]

Subtract the 7

[tex]y = 4x - 1[/tex]

Subtract y and add 1

Answer:

y = 4x - 1

Step-by-step explanation:

Distribute the 4

y + 7 = 4x + 8

Subtract the 7

y = 4x - 1

Answer:

1/50 then 3% then 0.046

Step-by-step explanation:

Answer:

x = 9.6

Step-by-step explanation:

Given that x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 4 when y = 15

k = [tex]\frac{x}{y}[/tex] = [tex]\frac{4}{15}[/tex]

x = [tex]\frac{4}{15}[/tex] y ← equation of variation

When y = 36, then

x = [tex]\frac{4}{15}[/tex] × 36 = [tex]\frac{144}{15}[/tex] = 9.6

The problem is related to direct variation and can be solved using the formula x=ky which expresses the direct proportionality of x and y. The constant of variation k is found using the values of x and y given and is applied to find the new x value when y=36.

The problem discussed here is related to the concept of direct variation or direct proportionality. When we say that 'x varies directly as y', it means that x is proportionally related to y, and that relationship can be expressed by the equation x = ky, where k is the constant of variation.

In this case, you are given that x = 4 when y = 15. So, you can find the constant of variation 'k' by dividing x by y. Hence, k = x/y = 4/15.

Now, you are asked to find the value of x when y = 36. Given that x = ky, simply substitute k = 4/15 and y=36 into this equation. Therefore, x = (4/15)*36 which will yield the value of x.

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Answer:

The equation needed is [tex]\textrm{Cost of 1 ream of paper}  =  \frac{20}{5} [/tex]

The cost per ream of paper  = $4

Step-by-step explanation:

Here, the cost of 5 reams of paper  = $ 21

The tax on her purchase  = $1

So, the actual cost of 5 reams of paper  = Total Cost paid  - Tax amount

= $ 21 -  $ 1  = $20

So, the actual cost of 5 reams of the paper is $20.

Now, to find out the cost of 1 ream of paper:

[tex]\textrm{Cost of 1 ream of paper}  = \frac{\textrm{Total amount paid for 5 reams}}{\textrm{ 5}}  \\= \frac{20}{5}  = 4[/tex]

=  $4

Hence, the cost of each ream of paper  = $ 4.

Answer:

Step-by-step explanation:

Expected in answer is 336.

Explanation: As we know that Pizza-By-The-Slice sells & slice in 10 and in ! hour we have 60 minutes so we simply multiply 7 by 6 which is equal to 42 so they sell 42 slice in 1 hour and we want to know the how much they sell in 8 hours so we simply multiply 42 by 8 and we get the expected slice sell in * hours which will 336.

Answer:

no

Step-by-step explanation:

1 foot is 30.48 cm

So 1 yard is 3(30.48 cm) = 91.44 cm (less than 100 cm = 1 meter)

So 2 yards is about 183 cm, less than 200 cm

Answer:

{12, 4, -6}

Step-by-step explanation:

The relation is given by the equation as 12x + 6y = 24 ........... (1)

Now, the domain of this function is {-4, 0, 5}

We have to find the range of this function corresponding to the given domain.

Now, for x = - 4,  

12(-4) + 6y = 24 {From equation (1)}

⇒ 6y = 72

⇒ y = 12

Now, for x = 0,  

12(0) + 6y = 24 {From equation (1)}

⇒ 6y = 24

⇒ y = 4  

Now, for x = 5,  

12(5) + 6y = 24 {From equation (1)}

⇒ 6y = -36

⇒ y = -6

Hence, the range for the relation is {12, 4, -6} (Answer)

Answer:

Answer is 1 2/3 pretty sure thats it bc i just took the same quiz and got that question right.

Step-by-step explanation:

Answer:

The number of pine tress more than the number of ash trees is 8 .

Step-by-step explanation:

Given as

The number of pine trees = 10

The number of ash trees = 2

Let The number of pine tree more than that of ash tress = x

So, The number of ash trees + x = 10

Or, 2 + x = 10

I.e x = 10 - 2

∴  x = 8

So, The pine trees is 8 more than the ash trees

Hence The number of pine tress more than the number of ash trees is 8 . Answer

Answer:

-225/8

Step-by-step explanation:

-3/2(24-5 1/4)

5 1/4=21/4

-3/2(24-21/4)

-3/2(96/4-21/4)

-3/2(75/4)

-225/8

Answer:

A. [tex]\frac{4^{8} }{4^3}[/tex]

D. [tex]4^{5}[/tex]

Step-by-step explanation:

We have to calculate to find the result -

The expression is = 4^(-3)/4^(-8)

According to the indices rule, the power will be deducted if it is a division.

Therefore, [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{m-n}[/tex]

Using that formula,

= [tex]4^{-3-(-8)}[/tex]

= [tex]4^{-3+8}[/tex]

= [tex]4^{5}[/tex]

Therefore, the answer choice D is the option, and the answer is 4^5.

Option A is also correct. Because we can find 4^5 with the help of that option.

[tex]\frac{4^8}{4^3}[/tex]

= [tex]4^{5}[/tex]

Alternative way,

4^(-3)/4^(-8)

= 4^(-3+8)

= 4^(8-3)

= 4^8/4^3

In the is way, we can also find option A is correct.

Answer:

A&D

1 & 4

[tex]\frac{4^8}{4^3}[/tex] and [tex]4^{5}[/tex]

Step-by-step explanation:

edge 2021

Answer: 593/500

Step-by-step explanation: To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100.

So here, 118.6% can be written as the ratio 118.6 to 100 or 118.6/100.

To write 118.6/100 in lowest terms, we first will need to multiply the numerator and the denominator by 10 to remove the decimal point. When we do this, we get the equivalent fraction 1186/1000.

Now, we can divide the numerator and the denominator by the greatest common factor of 1186 and 100 which is 2 and we get the equivalent fraction 593/500.

Therefore, 118.6% can be written as the improper fraction 593/500.

Answer:

A. About half of the animals at the zoo weigh less than 106 pounds

B. The average weight of al animals at the zoo is about 145.50

Step-by-step explanation:

The median weight is 106 pounds and the average weight of the animals at the zoo are 145.40

75% of the teachers were first-year teachers

Step-by-step explanation:

the formula for percentage will be used for the problem

The percentage is given by:

[tex]Percentage=\frac{Quantity}{Total}*100\\[/tex]

Here

Total teachers = 57+19 = 76

First-year teachers = 57

So,

[tex]Percentage\ of\ first\ year\ teacher = \frac{57}{76}*100\\=0.75*100\\=75\%[/tex]

Hence, 75% of the teachers were first-year teachers

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Answer: 66.5

Step-by-step explanation:

divide the figure into a triangle (the top part) and a rectangle (the lower part)

To find the area of the rectangle use the formula:

length times width = area

(LW=A)

8 times 7 is 56 so the area of the rectangle is 56.

the formula for area of a triangle is base times height halfed

(BH)1/2

the height is 3 because the height of the entire figure is 11 so subtract the height of the rectangle from that (8) to get 3.

the base is 7 so

7(3)(1/2) is 10.5

add up the two areas together (10.5+56) to get 66.5 cm squared.

answer: 66.5

Answer:

13

Step-by-step explanation:

you're kidding, how do you not know this but I mean I'm here to help even if you're not the brightest

Answer:

the answer is 13. because you round up

Answer:

-16

Step-by-step explanation:

4-8= -4 (-2-6t) if t=-1 instead of t besides 6 put -1 multiplier it which it will become positive.

-4(-2+6)

-4x-2=8, -4x6= -24

8-24=-16

trust me i know that i am right

How many vases are there?

The number of flowers in each vase is 31 and the number of flowers left over is 3.

Given that, Alexandra has 127 flowers and 4 vases.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

The same number of flowers in each of her vases =Total number of flower/Number of vases

= 127/4

Now, 4|127|31

            124
         _______
               3

Number of flowers left over =3

Therefore, the number of flowers in each vase is 31 and the number of flowers left over is 3.

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"Your question is incomplete, probably the complete question/missing part is:"

Alexandra has 127 flowers and 4 vases. She puts the same number of flowers in each of her vases. How many flowers will be left over?

Answer:

4 • (x - 5) • (2x + 3)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -15 = -30  

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -7 .

     -30    +    1    =    -29  

     -15    +    2    =    -13  

     -10    +    3    =    -7    That's it  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  3  

                    2x2 - 10x + 3x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (x-5)

            Which is the desired factorization

Answer:

- 4 h ≥ - 80

Step-by-step explanation:

The temperature of the metal is 0°C and the gets to no colder than - 80°C.

If the temperature is decreasing at the rate of - 4°C per hour, then the temperature after h hours will be t = 0 + (- 4) h which will not be less than - 80°C.

So the inequality that models the situation is 0 + (- 4) h ≥ - 80

⇒ - 4 h ≥ - 80 (Answer)

Final answer:

The inequality to ensure that the temperature of the metal does not fall below -80°C as it drops steadily at -4°C/hour is 0 - 4h ">= -80. This represents the highest number of hours (h) the physicist can allow before the temperature reaches the limit.

Explanation:

The student has asked to write an inequality based on a physicist's experiment where a metal's temperature decreases at a steady rate of -4°C per hour and should not get colder than -80°C. Starting at 0°C, the relationship between time (in hours) and temperature can be represented mathematically.

To express this as an inequality, we can set up a relationship where the temperature (t) after a certain number of hours (h) is no less than -80°C. Since the temperature is decreasing at -4°C per hour, we can write the inequality as:

t ≥ -80

Where t = 0 + (-4 × h), and h represents the number of hours passed.

Substituting the expression for t into the inequality:

0 - 4h ≥ -80

This inequality tells us that regardless of how many hours go by at this rate, the temperature of the metal should remain higher than -80°C.

Answer:

7 months

Step-by-step explanation:

260=134+18m

126=18m

7=m

Answer: 7 months.

$18 × 7 months = $126

$134 + $126 = $260

Answer:

x=-50

Step-by-step explanation:

31/25x=-62

x=-62/(31/25)

x=(-62/1)(25/31)

x=--1550/31

x=-50

Answer:

X = 50

Step-by-step explanation:

31/25 x = 62

25 times 31/25 x = 62 times 25

31x = 1550

31/31 = 1550/31

x = 50

Answer:

(C) Stock Variable

Step-by-step explanation:

With the $50,000 in the bank, it is assumed the value is earnings from stock. $3,000 worth of goods in the warehouse also make up the stocks hence the $50000 plus $3000 to make up $53,000 stock variable

Answer:

x-5=0\\x=5

Step-by-step explanation:

Answer:

44 miles per hour

Answer:

44 miles per hour

Step-by-step explanation:

Answer:7 months

Step-by-step explanation:

$35 x 5 months = $175

175 / 25 = 7

Answer:

7 months

Step-by-step explanation:

Answer:

101.8 meters in 1 minute

Step-by-step explanation:

509/5=101.8

Answer:

2/16 or 1/8 or 12.5%

Step-by-step explanation:

2 of the outcomes are the same and it's out 16 total outcomes, so you would do 2 divided by 16 which is 12.5% or as a a fraction 2/16 or as a simplified fraction 1/8.

Answer:

After Albert  builds the frame, 1.174 meters  of wood will be left.

Step-by-step explanation:

Here, the total length of wood required to build wooden frame  = 30 meters

The length of the wooden pieces collected  are:

First piece = 12.5  m

Second Piece  = 11.43  m

and Third Piece  =  7.244 m

Now, the total length of wood all pieces combined

= Length of (First + second + third ) Piece

= 12.5 m +  11.43 m +  7.244 m  = 31.174 m

So, the combined length of all wooden pieces  = 31.174 m

Now, the left over length = Total wood collected - The length required

                                              = 31.174 m = 30 m  =  1. 174 m

Hence, after he builds the frame, 1.174 meters  wood will be left.

Answer:

y = 10*x

Step-by-step explanation:

y = kr --> 400

r = 4k

400 = k (4k) = 4k^2

k^2 = 400/4 = 100

k = sqrt(100) = 10  

k = 10