Scott’s family has cats and birds as pets. Scott counted the total number of legs his pets have. Scott counted 30 legs total. If Scott’s family owns 3 birds, how many cats do they own?
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Answer:

1)D

2)B

3(

4)A

5)B

Step-by-step explanation:

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10.0 x 0.01 0 . 1

----------------- = -------------

0.01 x 0.01 0 . 0001

=======================================================

Explanation:

Draw a horizontal number line. Plot point A at 0 and point B at 45 on the number line. The distance from A to B is 45 units to represent that 45 mile gap between the cities.

Let's say the trains travel to the right (aka to the east) along this number line train track. We'll place the faster train at location A, and the slower train at location B. This allows the slower train a head start. Eventually the faster train will catch up. If this was swapped and the trains still aimed to the right, then the trains will never be 10 miles apart.

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

Now we'll define two variables

For the faster train at location A, which I'll just refer to "train A" from now on, we can form the equation y = 70x. I'm using the idea that distance = rate*time to help form this equation.

For example, if x = 2 hours have passed by, then train A is at location y = 70*2 = 140 miles on the number line train track.

Train B will have the equation y = 60x+45. The 60x is formed in a similar manner compared to the 70x. The plus 45 at the end is due to the 45 mile head start. In other words, train B travels 60x miles on top of the 45 miles already done so far.

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The two key takeaways from that last section is that we have these equations

which correspond to the locations of train A and train B in that order.

Now to the question at hand: how can we determine when the trains are 10 miles apart? The short answer is through subtraction. Moreover, we'll need to involve absolute value to ensure that distance is never negative.

So the distance expression between the trains at any given time x is:

distance between trains = |trainA - trainB|

distance = |70x - (60x+45)|

distance = |70x-60x-45|

distance = |10x-45|

Next, we set that distance expression equal to 10 and solve for x.

distance = 10 miles

|10x-45| = 10

10x-45 = 10 or 10x-45 = -10

10x = 10+45 or 10x = -10+45

10x = 55 or 10x = 35

x = 55/10 or x = 35/10

x = 5.5 or x = 3.5

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Those two results mean that at the hour marks of 3.5 hours and 5.5 hours is when the two trains are 10 miles apart exactly.

The two trains start off being 45 miles apart. They both take off and train A will catch up to train B. Their gap will be 10 miles at the 3.5 hour mark. That gap shrinks to 0 at some point, and then grows again afterward. By the 5.5 hour mark is when the trains are again 10 miles apart. This time is when train A is in the lead and will remain so assuming the speeds stay the same.  

It seems like your teacher is only concerned with when the trains are 10 miles apart for the first time and not the second. So your teacher is likely only expecting one answer and that would be 3.5 hours

Side notes:

Answer:

range={4,5,5} and its a function

Step-by-step explanation:

its a function becoz the domain are not repeated

Answer:

X=0

X=-1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I don't know how to rank push in idle

Answer:

48 Strawberries

Step-by-step explanation:

To solve this you multiply 6 times 8 because if there are 6 bowls and you put 8 in each, you are going to get 8+8+8+8+8+8 which is the same as 6 times 8. Hope this helps!

Step-by-step explanation:

[tex]a = \frac{ 5{x}^{2} }{2} = 360 \\ b = \frac{2 {x}^{2}( x - 5) }{10x} [/tex]

a =

[tex] \frac{5( {12}^{2} )}{2} = 360 = a \\ \frac{5(144)}{2} = 360 = a \\ 5(72) = 360 = a \\ a = 360[/tex]

b =

[tex]b = \frac{2 {x}^{2} (x - 5)}{10x} \\ b = \frac{x(x - 5)}{5 } \\ b = \frac{ {x}^{2} - 5x}{5} \\ b = \frac{ {12}^{2} - 5(12) }{5} \\ b = \frac{144 - 60}{5} \\ b = \frac{84}{5} \\ b = 16.8[/tex]

The required values are a = 360 and b = 16.8 when x = 12.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

The numerical expressions are given as:

a = 5x²/ 2 = 360

b = 2x² × (x-5) / 10x

To find the value of a when x = 12, we can substitute 12 for x in the expression for a:

a = 5(12)² / 2 = 360

To find the value of b when x = 12, we can substitute 12 for x in the expression for b:

b = 2(12)² × (12-5) / 10(12)

= 2(144) × 7 / 120

= 288 × 7 / 120

= 2016 / 120

= 16.8

Therefore, when x = 12, a = 360 and b = 16.8.

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Answer:

I'm pretty sure it's a, 2b - b

Step-by-step explanation:

Answer:

It's c

Step-by-step explanation:

The sales after 12 weeks is about $93. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is s=12√4t+10, where s represents the total sales in thousands) and t represents the time in weeks after release.

The sales 12 weeks after release is

s=12√4×12+10

s=12√48+10

s=93.13

s=93

Therefore, option B is the correct answer.

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Answer:

27+10÷2÷5= 27+1= 28

Hope that my answer is correct and helpful to you

Answer:

x = 16

y = 140

Step-by-step explanation:

Since angles on a straight line add to 180°,

(8x + 12) + (3x-8) = 180

8x + 3x + 12 - 8 = 180

11x + 4 = 180

11x = 176

x = 16

Due to the Alternate Interior Angles Theorem,

y = 8x + 12

Substituting 'x=16' into 'y=8x+12':

y = 8(16) + 12

= 128 + 12

= 140

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

Its 2.33333....

Step-by-step explanation:

Using a system of equation, we have that:

a)

b)

The system is:

[tex]x = 3y[/tex]

[tex]z = y - 10[/tex]

[tex]15x + 40y + 5z = 3100[/tex]

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

Item b:

On-site service costs 3 times as much as at-store service, thus:

[tex]x = 3y[/tex]

By mail service costs $10 less than at-store  service, thus:

[tex]z = y - 10[/tex]

Last week, the shop completed 15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100, thus:

[tex]15x + 40y + 5z = 3100[/tex]

The system is:

[tex]x = 3y[/tex]

[tex]z = y - 10[/tex]

[tex]15x + 40y + 5z = 3100[/tex]

Item c:

[tex]15x + 40y + 5z = 3100[/tex]

[tex]15(4y) + 40y + 5(y - 10) = 3100[/tex]

[tex]60y + 40y + 5y = 3150[/tex]

[tex]105y = 3150[/tex]

[tex]y = \frac{3150}{105}[/tex]

[tex]y = 30[/tex]

Then

[tex]x = 3y = 3(30) = 90[/tex]

The cost of one on-site repair service is of $90.

A similar problem is given at https://brainly.com/question/24823220

Answer:

O x = 75, y = 68 (second option)

Step-by-step explanation:

74° = (x - 1)°

x - 1 = 74

x = 74 + 1

x = 75

40° + (y - 2)° + 74° = 180°

y - 2 = 180 - 40 - 74

y - 2 = 66

y = 66 + 2

y = 68

Answer:

Refer to the attachment

Answer: 1.75 more pounds!

Explanation: Beef: 1 pound is $4.25. now divide $4.25 by 4 to get 1/4 of the price for a pound. then add 1 pound of beef ($4.25) and 1/4 pound of beef ($1.06) which gives you $5.31

Beef:  1 pound is $2.85. now divide $2.85 by 4 to get 1/4 of the price of a pound. then add 1 pound of turkey ($2.85) and 1/4 pound of turkey ($0.71) which gives you $3.56

Now, 1 1/4 pounds of beef and 1 1/4 pounds of turkey subtract them and that gives you $1.75.

Hope that helps!

Answer:

C: The h(x)-values -3, -2, 2, and 4

Step-by-step explanation:

The range is the values that the output can take

The y values  are -3, -2, 2,4

C: The h(x)-values -3, -2, 2, and 4

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Answer:

( m − 2 )( 4 m − 9 )

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

26458900 ... sum of odd digits 2+4+8+0=14   ...(1)

                      sum of even digits 6+5+9=20   ...(2)

(2)-(1): 20-14=6      Not multiple of 11, nor 0

conclusion: Not divisible by 11

26458900 ... last 2 digits is "00", 00 or #00 are divisible by 4

conclusion: divisible by 4

The equation of the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line is:-

y = mx + c

Given that the line passes through (0,0) and (2,5). to calculate the equation we need to calculate the slope of the line.

m = ( y₂ - y₁) / ( x₂ - x₁ )

m = ( 5 - 0 ) / ( 2 - 0 )

m = ( 5 / 2 )

y = ( 5 / 2)x + c

0 = 0 + c

c = 0

Y = ( 5 / 2)x

Therefore, the equation of the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

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Answer:

The lines are parallel

Answer:

I'm not entirely sure, but I think since you're dealing with area, that changes the way you'd do the math.

Step-by-step explanation:

Since centimeters will have a larger number than meters, that being a number 100x larger, the area is gonna appear a lot bigger. Let's say you have a tile that's 2cm x 4cm with an area of 8cm^2. If you double the sides to 4cm x 8cm, your area will quadruple to 32cm^2.

I think that's what is happening in terms of your problem.

Answer:

Step-Opens up with a vertex at (4,-1)by-step explanation:

Answer:

A. 15,840 feet

Step-by-step explanation:

1 mile = 5,280 feet (I think "five tomatoes" is helpful: five tomatoes --> five-two-eight-oh)

multiply both sides of equation by 3: 1 * 3 = 5,280 * 3

simplify: 3 miles = 15,840 feet, which means A is the answer