ving Advanced Linear Equations: Practice

Question 4 of 5

Type the correct answer in each box. Use numerals instead of words.

Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In

the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total

$46.21 on gas.

In the first week, Micah bought

g allons of gas.

In the second week, Micah bought

g allons of gas.

Submit

Reset

Answers

Answer 1

Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.


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Can somebody give me an answer to this it would be really helpful thanks!

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Answer:

.625 for decimal, and 62.5 percent.

Step-by-step explanation:

1/8 is 1.25 and that times 5 is .625. .625 * 100 = 62.5

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Answer:

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The percent is 62.5%

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

30000/0.006=5000000

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Answer:

they did the horizontal line test.

Step-by-step explanation:

the vertical line test is to see whether or not a graph is a function. you can draw a vertical line at every x-value to see if there are 2 or more points at that x-value. if there are, then it is not a function. however, this student drew a horizontal line instead. this graph is a function, so the student is incorrect. they did the horizontal line test instead of the vertical line test.

10. In APQR, right-angled at Q, PR+QR = 25 cm and PQ = 5 cm. Determine the values of
sin P, cos P and tan P.

Answers

Given PR + QR = 25 , PQ = 5 PR be x.  and QR = 25 - x   Pythagoras theorem ,PR2 = PQ2 + QR2 x2 = (5)2 + (25 - x)2 x2 = 25 + 625 + x2 - 50x 50x = 650 x = 13   PR = 13 cm QR = (25 - 13) cm = 12 cm sin P = QR/PR = 12/13 cos P = PQ/PR = 5/13 tan P = QR/PQ = 12/5 HOPE IT HELPS (◕‿◕✿)

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Step-by-step explanation:

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Answer:   36y

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

Answer:

36y

Step-by-step explanation:

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Answer: it's B

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Traffic lights at three different junctions show green light at intervals of 10 seconds, 12 seconds and 15 seconds. They all show green at 1:00 p.m. At what time will they show again green together?

Answers

Answer:

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If x = 14, which equation is true?

Answers

Answer:

You have to give us the equations that are listed.

Step-by-step explanation:

I would love to help, but I need more info.

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Factor
25x^3+5x^2-15x-3
With a step by step explanation

Answers

Ok look at this problem as
25x^3+5x^2 and
-15x-3

with 25x^3+5x^2
they both are divisible by 5 (25/5 & 5/5) and since x^2 is the highest x they both have you can factor that too.
so 25x^3+5x^2
becomes
5x^2(5x+1) since you can take 5x^2 out of the original.

To do -15x-3
find what both can be factored by
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since -3 doesn’t have an x we cannot favor and x out so.
-3(5x+1) would be the completed factor!

Please note when factoring a negative the signs will change and you can always make sure the answers right by FOILING

Write a proportion for the number of strands in each color to find how many strands are needed to make one pom-pom.
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blue strands: b/80=?/?







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Answers

Answer:

white: w/80 = 35/100

blue: b/80 = 25/100

red: r/80 = 40/100

Step-by-step explanation:

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For a rectangle the length is 3x+4 and the perimeter is 10x+18, what is the width of the rectangle? Show your work.

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Answers

So we know that to find the perimeter it’s 2W+2L= the perimeter. So 6x+8+2W=10x+18
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Answers

Hi there.

Glad to see you using Brainly!

Equation:

a^2-b^2c^2

Then, multiply the terms with equal exponents.

(We can do this by multiplying their bases)

After:

a^2 - (b c)^2

Now, using a^2 - b^2 = (a-b)(a+b) we factor.

Therefore, after using that we get:

(a-bc) x (a+bc)

Therefore, our solution is

(a - bc) x (a+bc)

Thanks for using Brainly!

- Tutor John

Answer:

[tex] {a}^{2} - {b}^{2} {c}^{2} = (a - bc)(a + bc) [/tex]

Identify the slopes between the given points
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2.) (7, 5) and (-8, 3)

Answers

Answer:

slopes points=4576789y5qscm

The stair is inches high.

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Answer:

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Step-by-step explanation:

Okay guys pls help like I'm desparate!!!

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A theater has 500 seats. Three fourths of the seats are filled. How many seats are filled?

Answers

Answer:

Three fourths of the theater that is 500 seats is 375 seats.

Your answer is 375 seats.

Step-by-step explanation:

Okay, so to find 3/4 of 500 the first thing you want to do is set up an equation. To find 3/4 of 500 you want to multiply 500 by 3/4 so here's your equation.

x= 500*3/4

An equivalent to this is this equation,

x=500/1 *3/4

To solve this multiply the numerators together then the denominators together.

That would give you,

x=1500/4

Simplify by dividing 1500 by 4 and you get 375.

x=375

So that means that three fourths of the theater that is 500 seats is 375 seats.

In the theater, 500 seats fill 3/4, or 375 seats. An algebraic expression is an expression made up of integer constants, variables, and algebraic operations.

What exactly are algebraic expressions?Integer constants, variables, and the basic arithmetic operations of addition, subtraction, multiplication, and division are used to construct algebraic expressions.An algebraic expression would be 5x + 6. x is a variable in this case, whereas 5 and 6 are fixed values. An algebraic expression is a mathematical expression made up of variables, constants, and algebraic operations (addition, subtraction, etc.).A mathematical phrase that includes variables, constants, coefficients, and algebraic operations is known as an algebraic expression. 5x2+6xyc, for example, is an algebraic expression. Algebraic expressions, unlike algebraic equations, do not have equal signs.

Given,

500 must be multiplied by 3/4 in order to find 3/4 of 500.

x = 500 × 3/4

This can be compared to this equation

x = 500/1 × 3/4

To find the solution, multiply the numerators and denominators together.

After that, you'd have

x = 1500/4.

By multiplying 1500 by 4, you can get 375 by simplifying.

x = 375

Hence, In other words, 375 seats, or roughly one-quarter of the theater's 500 seats, are available.

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brainly.com/question/6143254

#SPJ2

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Answers

9514  1404 393

Answer:

  96

Step-by-step explanation:

For each of the 4 items in the first column, Dave can choose any of the 6 items in the second column.

For each of those 4×6 = 24 combinations of items, Dave can choose any of the 4 items in the third column.

The total number of choices Dave can make is ...

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Answer:

96 different combinations

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Answers

Answer:

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Explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Addison scored a better score on the test.

Step-by-step explanation:

Elaine's score can be found by dividing 19 by 24, which yields a result of 0.7916, which means her score is a 79 out of 100 (79%). Her score can also be found by doing 100/24 = 4.16666 repeating and multiplying that by 19, which also yields 79.6. Hope this helps!

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer: X= -1/2, X= -5/6

Step-by-step explanation:

0=12x^2+16x+5

Move all terms to the left:

0-(12x^2+16x+5)=0

Add all the numbers together, and all the variables

-(12x^2+16x+5)=0

Get rid of parenthesis

-12x^2-16x-5=0

a = -12; b = -16; c = -5;

Δ = b2-4ac

Δ = -162-4·(-12)·(-5)

Δ = 16

The delta value is higher than zero, so the equation has two solutions

Use following formulas to calculate:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=16−−√=4

-> x1=−b−Δ√2a=−(−16)−42∗−12=12−24=−1/2

-> x2=−b+Δ√2a=−(−16)+42∗−12=20−24=−5/6

   

   

b. Convert yards to feet.
3.2 yards
3
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lxd
x
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feet

Answers

Answer:

9.6 feet

Step-by-step explanation:

solve equation 2(4b-6)=4(3b-7)

Answers

Answer:

2(4b - 6) = 4(3b - 7)

This is

8b - 12 = 12b - 28

Now,

16 = 4b

This means that b = 4 :)

Answer:

[tex]\boxed {b = 4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]b[/tex]:

[tex]2(4b - 6) = 4(3b - 7)[/tex]

-Use Distributive Property:

[tex]2(4b - 6) = 4(3b - 7)[/tex]

[tex]8b - 12 = 12b - 28[/tex]

-Take [tex]12b[/tex] and subtract it from [tex]8b[/tex]:

[tex]8b - 12 - 12b = 12b - 12b - 28[/tex]

[tex]-4b - 12 = -28[/tex]

-Add [tex]12[/tex] to both sides:

[tex]-4b - 12 + 12 = -28 + 12[/tex]

[tex]-4b = -16[/tex]

-Divide both sides by [tex]-4[/tex]:

[tex]\frac{-4b}{-4} = \frac{-16}{-4}[/tex]

[tex]\boxed {b = 4}[/tex]

So. therefore, the value of [tex]b[/tex] is [tex]4[/tex].

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