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3 years ago

Write and graph an equation to represent the situation.

1 answer:

5 0

Distance=amount of gas times miles per gallon
distance=y
amount of gas=x
mpg=?

given
y=300
x=10

300=10 times ?
divide both sidesj by 10
30=?

equation is
y=x times 30 or
y=30x

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$

$\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}$

3 0

3 years ago

At a summer camp, there are 15 counselors, 5 cooks, and 120 campers. 5 points

lesya [120]

Answer:

eto 1:12 pero di ko sure,antayin mo nlng yung sagot ng iba

8 0

3 years ago

You rise 15 feet for every 1000 feet you drive forward, what is the slope?

liberstina [14]

The slope is: $\frac{3}{200}$ .
________________________________________________________
Note:
________________________________________________________
slope = rise/ run = 15 ft/ 1000 ft ;

= 15/1000 = (15÷15) / (1000÷15) ;

= 1/ (200/3) = 1* (3/200) = [tex] \frac{3}{200} [/tex] .
________________________________________________________

3 0

3 years ago

A display of seed packets contains 24 zucchini seed packets and 28 other seed packets. What is the probability that a randomly s

Nonamiya [84]

Answer:

The probability is 6/13

Step-by-step explanation:

Number of zucchini seed packets = 24

Number of other seed packets = 28

Total number of packets = 24 + 28 = 52

Probability is given by

$P(E)=\frac{n(E)}{n(s)}\\\\n(E)=24,n(s)=52\\P(E)=\frac{24}{52}\\\\P(E)=\frac{6}{13}$

Hence, the required probability is 6/13

3 0

3 years ago

Simplify completely

Mandarinka [93]

Answer: x+2 / x+ 9, x = -2, x=-9 ( A )

Solution:

Breakdown the problem into two sets

Step 1: simplify x^2 -10x - 24

Factorize the above equation,

Multiply the last term (24) with the first term coefficient i.e. 1

Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10

x2 - 12x + 2x - 24 >>>> (x2-12x) + (2x-24) >>> take common

>>>> x(x-12) + 2( x-12)

Step 3: (x + 2) (x - 12)

Step 4: Step 1: simplify x^2 - 3x - 108 using the same steps

x2 - 12x + 9x - 108 >>>> take common x(x-12) + 9 ( x -12) >>>

(x + 9) (x - 12) final product

Now, Simplify the equation as a whole

(x + 2) (x - 12) / (x + 9) (x - 12) Note: (x - 12) cancels out

= (x + 2) / (x + 9) with x= -2 and x= -9

6 0

3 years ago