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Answer:

3.60

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the remaining volume of fuel in a car's tank is expressed as;

V = I - E.D

where;

I is the initial volume of fuel,

E is the fuel efficiency, and;

D is the distance traveled.

Given

I = 30 litres

1m³ = 1000L

x = 30L

x = 30/1000

x = 0.03m³

I = 0.03m³

E = 100cm³/km

E = 100*10^-6m³/km

E = 10^-4m³/km

E = 10^-4m³/1000m

E = 10^-7m²

D = 120km

Convert km to metres

D = 120km = 120,000m

Substitute the results into the formula;

V = I - E.D

V = 0.03 - (10^-7)(120,000)

V = 0.03 - 0.012

V= 0.018 m³

Convert 0.018 m³ to litres

Since 1 m³ = 1000L

0.018 m³ = y

cross multiply;

y  = 1000 * 0.018

y = 18 litres

Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Answer:

x = y

Step-by-step explanation:

Given

2x - y = y ( add y to both sides )

2x = 2y ( divide both sides by 2 )

x = y

Answer: hey want to talk

Step-by-step explanation:

Full question attached:

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?

Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3

Simplified expression: x^2 - 6x - 6

ANSWER CHOICES:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Mickey should have added 2 and 1 when combining the x^2 terms.

Mickey should have added 9 and 3 when combining the constant terms.

Mickey should have added –4 and –1 when combining the x terms.

Answer

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Explanation:

To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved

Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

Therefore the correct option is

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Answer:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

we start with:

n(n + 1) + 3 = 45

n² + 1n = 42

n² + 1n - 42 = 0

n can be either 6 or -7

(n - 6)(n + 7)

since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:

n = 7 ⇒ n(n + 1) + 3 = 45

7(7 + 1) + 3 = 59 WRONG

n = 6 ⇒ n(n + 1) + 3 = 45

6(6 + 1) + 3 = 45 ✓ CORRECT

Answer:

6

Step-by-step explanation:

Answer:

The graph decreases everywhere.

Step-by-step explanation:

you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-4=10 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=10+4 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=14 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {14}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]

Answer:

The answer is 46.

Step-by-step explanation:

First, you will have to add up both functions in order to find the new expression for (g + f)(a) :

g(a) + f(a) = (g + f)(a)

(g + f)(a) = 3a + 3 + 2a - 2

(g + f)(a) = 5a + 1

Next, you have to substitute a = 9 into the function :

(g + f)(9) = 5(9) + 1

(g + f)(9) = 46

Answer:

the answer is 4

Step-by-step explanation:

you plug in the 8 into the y variable. Then you divide 8 by 2. The answer comes out as 4.

Answer:

Step-by-step explanation:

i think you are forgetting to put the equation into your question because you cannot find x if y=32 x would be non existent

Answer:

[tex]5\sqrt{5}i[/tex] or D

Step-by-step explanation:

[tex]\sqrt{-125} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-125}=\sqrt{-1}\sqrt{125}\\\\=\sqrt{-1}\sqrt{125}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{125}i\\\\=5\sqrt{5}i[/tex]

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

https://brainly.com/question/13391696

#SPJ2

Answer:

Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.

Step-by-step explanation:

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Answer:

1 1/5 or 12/10

Step-by-step explanation:

310+910=?

The two fractions have like denominators so you can add the numerators.

Then:

3+910=1210

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 10 using

GCF(12,10) = 2

12÷210÷2=65

The fraction

65

is the same as

6÷5

Convert to a mixed number using

long division for 6 ÷ 5 = 1R1, so

65=115

Therefore:

310+910=1 1/5

Hope this Helps!

Answer:

1   1/5

Step-by-step explanation:

trust me i did the test and got a passing grade

Answer: The answer is 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I just put in in the desmos graphing calculator

Answer:

yes  

Step-by-step explanation:

Answer:

a) 0.21078

b) 21.078%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean of 3500 and standard deviation of 300.

a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?

For x = 3200

z = 3200 - 3500/300

z = -1

Probability value from Z-Table:

P(x = 3200) = 0.15866

For x = 3400

z = 3400 - 3500/300

z = -0.33333

Probability value from Z-Table:

P(x = 3400) = 0.36944

The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk

P(x = 3400) - P(x = 3200)

= 0.36944 - 0.15866

= 0.21078

b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?

We convert the answer in part a) to percentage

= 0.21078 × 100

= 21.078%

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

nearest is 3.2 that is with whole bumber

Answer:

mwe.n pa konen men tenyen ooooo

Answer:

s=13

Step-by-step explanation:

[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]

Answer:

Package B has a unit rate of $1.50 per bag

Step-by-step explanation:

its the correct answer if its wrong deal with it