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Answer:

a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95  

b. The second and third car seats are appropriate for a 35 lb child.

Step-by-step explanation:

a. Model those ranges with compound inequalities

Let x represent the car seat.

i. A car seat designed for a child weighing up to  and including 25 lb is described by the inequality.

x ≤ 25

ii. A car seat designed for a child weighing between 16 lb  and 35 lb is described by the inequality.

16 < x < 35

iii. A car seat designed for a child weighing between 25 lb  and 95 lb inclusive is described by the inequality.

25 < x ≤ 95

b. Which car seats are appropriate for a  33-lb child?

Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

Answer:

n > -2

Step-by-step explanation:

Distribution property:

7 - 14n < 33 - n

Bring n over:

7 - 13n < 33

Bring 7 over:

-13n < 26

n > -2

Answer:

5/9 & -10/3

Step-by-step explanation:

Set each to 0 and solve:

9x-5 = 0

9x=5

x=5/9

6x+20=0

6x=-20

x=-20/6

x= -10/3   or -3 1/3

In the figure, since the line m and line n are parallel, the value of x is 25/3.

We have,

From the figure,

The two angles are corresponding angles since line m and line n are parallel.

Now,

9x - 5 = 6x + 20

Combine like terms on one side.

9x - 6x = 20 + 5

3x = 25

Divide 5 on both sides.

3x/3 = 25/3

x = 25/3

Thus,

The value of x in the given figure is 25/3.

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Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]

Let , time taken is x .

So , distance covered b them is equal :

[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

Answer:

what is the question

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

its me makayla my account got blocked so this is my new one

Answer:

  it depends

Step-by-step explanation:

I like to choose the units to be compatible with the use of the number.

In Engineering, we often choose units so the number itself is between 1 and 1000. Here, that means 3.4×10^-7 mm would be better expressed as 3.4 angstroms or 340 pm (picometers). (The purpose of SI prefixes is to facilitate this way of representing metric measures.)

If you're comparing the length to something measured in km, then the representation as 3.4×10^-13 km might be the most useful

If you're comparing the distance to something measured in mm, then 3.4×10^-7 mm would be more appropriate than 3.4×10^-13 km.

Answer:

an hour would make it 10, then another 30 minutes added to the 30 would make it 11, so 11:06 pm

Step-by-step explanation:

The total number of classes that were taken by you was 28.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question.

Registration fee for the dance class = $15

Amount of money charges for each dance class = $24

Amount of money paid for c number of classes = $687

⇒ [tex]687 = 24c + 15[/tex]

Solve the above linear equation in one variable for c.

[tex]687 = 24c + 15[/tex]

⇒ [tex]687 - 15 = 24c[/tex]

⇒ [tex]672 = 24c[/tex]

⇒ [tex]c = \frac{672}{24}[/tex]

⇒ [tex]c = 28[/tex]

Hence, the number of classes is 28.

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An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the 9 cm is covered every 5.5 minutes, hence:

1 mile = 160934 cm;

9 cm = 9 * 1/160934 = 9/160934 mile

1 day = 1440 minutes

5.5 minute = 5.5 *  1/1440 = 5.5/1440 day

Hence:

Speed = distance/time

Speed = (9/160934 mile)/(5.5/1440 day)

Speed = 0.01 mile per day

An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

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Answer:

15:20:8

Step-by-step explanation:

You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.

4 x 5 = 20

So we can correct the first ratio.

3 X 5 = 15

So the ratio of men to women is 15:20.

Now we find the ratio of women to children.

4 x 5 = 20

4 x 2 = 8

The ratio of women to children is 20:8.

Now that we have the same number in each ratio for women, we can combine them.

The ratio of men to women to children is:

15:20:8

Answer:

well assuming that it's linear the

Step-by-step explanation would be: something but you don't want that you want the answer assuming that 7 people came in every 4 trailers the slope or rate of change would be 7/4 and the initial value would be 5.

Answer:

7

Step-by-step explanation:

The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.

So in your case, 7 is your m value therefore 7 being your slope

Hii!

__________________________________________________________

Answer:

Slope is 7! ^^

Step-by-step explanation:

Note that the equation of the line is given to us in slope intercept, y=mx+c.

m=slope | c=y intercept.

The slope intercept formula is

y=mx+c.

The equation this question provided us is.

y=7x-5

Slope=7

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Hope that this helped! Best wishes.

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Step-by-step explanation:

Think of 4.29 and 4.3 as 429 and 430.

Now which is greater, 429 or 430?

430, right? Then we convert them back to decimals.

4.29<4.3

Hope it helps!

the answer is $4750.

Answer:

B is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

i dont understand the question you are asking

Step-by-step explanation:

The expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

The difference between two algebraic expressions is simply gotten by subtract one from the other.

Thus, find the difference between the two algebraic expressions, (6x+y) and (-8x-8y).

(6x+y) - (-8x-8y)

Open the bracket

6x + y + 8x + 8y

Combine like terms

14x + 9y

Therefore, the expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

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Answer:

23

Step-by-step explanation:

19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then

23 × 841 = 19343, thus

19346 ÷ 841 = 23 remainder 3

The divisor is 23

hope it helps you

this is my answer

Answer:

[tex]MP= (5,4)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8

[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4

[tex]MP= (5,4)[/tex]

Answer:

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

Step-by-step explanation:

v=u+at

v=0+9.8m/s2 ×4s

v=39.2 ms-1

Final velocity; v =  -39.24 m/s

In free fall, the motion is in the direction of gravity.

Formula for final velocity in free fall is;

v = u + gt

(g is negative)

We are told the ball is dropped from rest.

Thus;

Initial velocity: u = 0 m/s

Time; t = 4 secs

Acceleration due to gravity; g = -9.81 m/s²

Thus, Plugging in the relevant values, we have;

v = 0 + (-9.81 × 4)

v = -39.24 m/s

Final velocity; v =  -39.24 m/s

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Answer:

110 Degrees

Step-by-step explanation:

Subtract 150 from 40

Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

Answer:

c

Step-by-step explanation:

im doing apex too lol just got the answer right

Answer:

[tex]y=4-3x[/tex]

Step-by-step explanation:

[tex]3x+y=4[/tex]

Subtract 3x from both sides:

[tex]3x+y-3x=4-3x[/tex]

[tex]y=4-3x[/tex]

Answer:

its answer is

y=4-3x ok