Hugh is going to bye school supplies pencils are $0.25 each,notebooks that are $2.50 each,back packs are $32.00 each.hugh bought x notbooks.write an expression for the cost of the notebooks? julio bought a backpack and y pencils. he spent less than $50. write an inequality that shows how much Julio spent.

Answers

Answer 1

Answer:

32 + 0.25y + 2.50x < 50

That's just my guess. I'm not 100% sure.

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The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival.Sinea- snacks $5/ games $8/ souvenirs $12
Ren- snacks $10/ games $8/ souvenirs $20

A. Siena wants to spend money using the same ratios as on her last trip to the carnival. If she spends $26 on games, how much will she spend on souvenirs?
B. Ren wants to spend money using the same ratios as on his last trip to the carnival. If he spends $5 on souvenirs, how much will he spend on snacks?

Answers

Let

x-------> money spent in snacks

y-------> money spent in games

z-------> money spent in souvenirs

we know that

Siena's ratios

$(x)/(y) =(5)/(8) \n\n (x)/(z)= (5)/(12) \n \n (y)/(z) =(8)/(12)$

Ren's ratios

$(x)/(y) =(10)/(8) \n\n (x)/(z)= (10)/(20) \n \n (y)/(z) =(8)/(20)$

Part A) A. Siena wants to spend money using the same ratios as on her last trip to the carnival. If she spends $ $26$ on games, how much will she spend on souvenirs?

$(y)/(z) =(8)/(12) \n \n 12y=8z\n \n z=(12)/(8) y$

$y=26$ -----> money spent in games

substitute the value of y

$z=(12)/(8) y\n \n z=(12)/(8) *26\n \n z=39$

therefore

the answer Part A) is

Siena spend on souvenirs $ $39$

Part B) Ren wants to spend money using the same ratios as on his last trip to the carnival. If he spends $ $5$ on souvenirs, how much will he spend on snacks?

$(x)/(z) =(10)/(20) \n \n 20x=10z\n \n x=(1)/(2) *z$

$z=5$ ----> money spent in souvenirs

Substitute the value of z

$x=(1)/(2) *z\n \n x=(1)/(2) *5\n \n x=2.5$

therefore

the answer part B) is

Ren spend on snacks $ $2.5$

This is a problem of proportions. The initial data gives you the ratios, then you can use them to build proportions for each case. A. Siena's game to souvenier ratio is 8/12 then you can build the proportion: 8/12 = 26/x and solve for x: x = 26*12/8 = 17.33 B. Ren's souvenier to snacks ratio is 20 / 10, the the proportion is 20 / 10 = 5 / x => x = 5 * 10 / 20 = 2.5

Which describes the variables in the scatter plot created from the data?Customers Profits ($)
76 2812
64 2880
48 1824
79 2844
144 5616
189 7749
180 5760
112 4256
132 6336
98 2940

A.
The independent variable is customers and is graphed along the horizontal axis.

B.
The independent variable is profit and is graphed along the horizontal axis.

C.
The independent variable is customers and is graphed along the vertical axis.

D.
The independent variable is profit and is graphed along the vertical axis.

Answers

The independent variable is customers.. No one can tell how many customers are going to come unless they write..

So it can't be B or D

The independent variables should be on horizontal line when considered as a scatter plot.

So it's A. The independent variable is customers and is graphed along the horizontal axis

Contemporary American building bricks are rectangular blocks with the standard dimensions of about 5.7 cm by 9.5 cm by 20.3 cm.What is the volume to the nearest tenth of a unit.

Answers

$a=5.7m;\n\nb=9.5m\n\nc=20.3m\n\nV=abc\n\nV=5.7\cdot9.5\cdot20.3=1099.245\ (m^3)\approx1099.2\ (m^3)$

Determine the smallest integer value of x in the solution of the following inequality.4x – 1 > 18

Answers

Answer:

x = 5

Step-by-step explanation:

You need to find de value of x.

4x - 1 = 18

4x = 18 + 1

4x = 19

x = 19/4

x = 4,75 but, the questions says: smallest integer value, so, the smallest is the integer number more near of 4,75, which is 5.

testing:

x = 5

4*5 - 1 > 18

20 -1 > 18

19 > 18 TRUE

x = 4

4*4 - 1 > 18

16 - 1 > 18

15 > 18 FALSE

The population of a city is modeled by the equation P(t) = 256,114e0.25t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?

Answers

Answer: it take 5.448 years for the population to reach one million.

Step-by-step explanation:

The population of a city is modeled by the equation

P(t) = 256,114e0.25t

where t is measured in years.

For the population to reach 1000000, it means that

1000000 = 256114e0.25t

1000000/256114 = e0.25t

3.9045 = e0.25t

Taking ln of both sides of the equation, it becomes

Ln 3.9045 = Ln e0.25t

1.362 = 0.25t

t = 1.362/0.25

t = 5.448 years

Final answer:

The city's population is modeled by an exponential function and to find when the population will reach one million, we need to solve the equation for t by setting P(t) = 1,000,000. This requires dividing by the initial population, taking the natural logarithm, and then dividing by the growth rate (0.25). The result is the time in years it takes for the city's population to reach one million.

Explanation:

Calculation of Population Growth Time

The city's population growth is modeled by an exponential function, P(t) = 256,114e0.25t. Here, P(t) is the population at time t and 'e' is Euler's number, approximately equal to 2.71828. Your goal is to find when the population reaches one million.

To do this, set P(t) = 1,000,000 and solve for t:

1,000,000 = 256,114e0.25t

You would divide both sides by 256,114 and then take the natural logarithm to isolate t:

t = ln(1,000,000 / 256,114) / 0.25

Use a calculator to solve for 't'. This gives the time in years it takes for the city's population to reach one million people. It's a clear demonstration of how exponential growth operates: as the population increases, it takes less time to add a certain number of individuals.

Learn more about Exponential Population Growth here:

brainly.com/question/39279467

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What is the next fraction in this sequence? Simplify your answer. 3/4, 1/4, 1/12, 1/36

Answers

hey their,

3/4
1/4
1/12
1/36
0/60

The pattern is -1/x every 2 +x/8

How i got this was 36/12=3
3*12=36
so 60-36=24
24x3/2+24=60
then 60/5=12

Hopethis helped

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