Sebastian's friend gives him 4 special edition baseball cards to start his own collection.Sebastian then buys 6 new baseball cards for his collection every month.If x is the number of months, what is the linear function, f(x) that represents the total number of baseball cards in sebastians collection as a function of the number of months?

Answer: 12:30 p.m

Step-by-step explanation:

h=hours

97.5=60+12.5h

12.5h=37.5

h=3

9:30 a.m.+h=

9:30 a.m.+ 3=12:30 p.m

Answer:

55% of the number 35 is 19.25.

Hope this helps!

Answer:

line a and b are parallel, there is no perpendicular lines

Step-by-step explanation:

Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.

When the slopes are the same, they are parallel.

When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex. [tex]\frac{a}{b}[/tex] and [tex]-\frac{b}{a}[/tex] are perpendicular slopes.

Finding slope is using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Line a has slope  [tex]\frac{3-4}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]

Line b also has slope [tex]-\frac{1}{4}[/tex]

Line c has slope 2

Since slope of line a and b are same, they are parallel.

Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.

Answer:

7% increase

Have a nice day :)

Answer: Decay;  -7% increase

You could also say "7% decrease" but it looks like your teacher wants "increase" in there, so you have to make the value negative.

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

Explanation:

The base of the exponential is 0.93

Compare this to 1+r and we see that 1+r = 0.93 solves to r = -0.07

The negative r value indicates exponential decay. Specifically we have 7% decay. The amount is decreasing by 7% each time x increases by 1 unit.

The phrasing "7% decrease" is the same as "-7% increase", though in my opinion, "7% decrease" sounds more natural and easier to conceptualize.

Answer:

there are 202.884 fluid ounces in 6 liters

Step-by-step explanation:

your mom wants you to drink a lot of water

Answer:

if your asking what a is, the answer is 112

312-200=112 200+112=312

Answer: 8.75

Step-by-step explanation:

Let walking rate = x

Riding rate = x + 10

Time taken to ride 30km = time taken to walk 14 km

Time = distance / speed

Hence,

30/ (x + 10) = 14 / x

Cross multiply :

30x = 14( x + 10)

30x = 14x + 140

30x - 14x = 140

16x = 140

x = 140 / 16

x = 8.75

Walking rate = 8.75 kph

Answer:

16 feet

Step-by-step explanation:

This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16

Answer:

16 feet

Step-by-step explanation:

use Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 30^2 = 34^2

a^2 + 900 = 1156

move 900 to the right to leave the a variable by itself

a^2 = 256

take the square root of both sides

a = 16

Answer:

The width should be more than 5 m. So it can be  6,7 ...

Step-by-step explanation:

The length of a flower garden is = 9 m

The width of a flower garden is   = w

The area of a flower garden > 45 sq. m

The area of a flower garden  = l * b

l * b > 45

9 * b > 45

the width should be more than 5 m. So it can be  6,7 ...

Answer:

SR = 17.56

Step-by-step explanation:

Formula = PR * RT = SR * RQ

60 * (4x - 26) = 38 * (2x - 1)

Solve for x

240x - 1560 = 76x - 38

164x = 1522

x = 9.28

Solve for SR

2x - 1

2(9.28) - 1

SR = 17.56

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.

SR / RQ = RT / PR

(2x - 1) / 38 = (4x - 26) / 60

(2x - 1) / 19 = (2x - 13) / 15

19(2x - 13) = 15(2x - 1)

Simplify the equation further, then we have

38x - 247 = 30x - 15

38x - 30x = 247 - 15

8x = 232

x = 232 / 8

x = 29

Then the length of the side SR will be given as,

SR = 2(29) - 1

SR = 58 - 1

SR = 57

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

More about the triangle link is given below.

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The amount that will be needed for all the stones will be $27.78.

From the information, Chris is buying stones to landscape his garden he needs 115.75 pounds of stones if the stones cost $0.24 per pound.

Therefore, the amount that will be needed for all the stones will be:

= $0.24 × 115.75

= $27.78

The amount needed is $27.78.

l

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Answer:

X = -1 or X = -3.5

Step-by-step explanation:

2x^2 + 9x + 7 = 0

ac = 14

b = 9

find a two numbers which when you multiply you get 14 and add you get 9.

so it will 2 and 7. (they replace b which is 9x)

therefore: 2x^2 + 2x + 7x + 7 = 0

find common factors using each 2 from the four.

2x( x + 1) + 7 (x+1) = 0

so it will be (2x + 7) (x+1) = 0

find x,

i) 2x +7 = 0

x= -3.5

ii) x + 1 = 0

x = -1

We have to know the relation between speed, time and distance to solve the question. The distance travelled expressed in terms of s is 16s+13.

The speed of a vehicle or person can be given by the distance travelled over time taken to travel the distance. We can find the time,distance and speed from this relation if we know any two of the three variables. Here in this question we have to assume the speed to be s,we know the different time intervals and we have to find out the distance travelled in terms of s. Distance can be calculated by multiplying speed by time taken. In the question it says that the first it travels at a speed s for 15 hours,so we can say for first half distance travelled is 15s, for the second part it says that it travels at a speed (s+13) miles/hour for 1 hour so we can say that the distance travelled for second part is (s+13) miles. Thus total distance travelled can be given by adding up first and second part

distance travelled=15s+(s+13)=16s+13 miles

Therefore we get the total distance travelled in terms of s to be 16s+13 miles.

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Answer:

$972

Step-by-step explanation:

900 * 0.08 = 72

900 + 72 = 972

Hope this helped, let me know if you need a better explanation!

Answer:

4x + 28

Step-by-step explanation:

Here, what you need to do is multiply 4 by x, and then 4 by 7. It's really just the distributive property doing its work.

4(x + 7)

(4 * x) + (4 * 7)

4x + 28 is the new expression.

Answer:

diameter

Step-by-step explanation:

that's the answer i think

the greatest common factor is 4

Answer:

Q' is at 0, 1.

J' is at 5, 3.

H' is at 3, 5.

Step-by-step explanation:

Whoopsiedaisy nearly botched it up

Answer:

4km

Step-by-step explanation:

Answer:

fifty seven

Step-by-step explanation:

Answer:

The same sign that the integers have

Step-by-step explanation:

When 3 positive numbers are multiplied together, the product will be positive. In fact, when any number of positive numbers are multiplied together, the product will always be positive.

Examples: 5*7*14=490

1*2*3*4*5*6*7=5040

When 3 negative numbers are multiplied together, the product will be negative. Two negatives make a positive and a negative and a positive will make a negative. Because the product of the first two numbers will be positive, the final product will be negative.

Examples:

(-9)(-2)(-5)

Two negatives make a positive

= 18(-5)

A negative and a positive make a negative

= -90

I hope this helps! Please comment if you have any questions :)

Answer:

C, E

Step-by-step explanation:

it is

Answer:

x>−2

Step-by-step explanation:

−4x<8

Step 1: Divide both sides by -4.

−4x

−4

<

8

−4

x>−2

Answer:

w=−115.2

Step-by-step explanation: