Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?

y=4+x
y = x − 4
y = 4 · x
y = x ÷ 4

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:

[tex]-y=-2x+3[/tex]

After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:

[tex]y=2x-3[/tex]

Answer:

(A) B h(x)= -2x-5.5

(B) The y intercept is (0,-5.5)

(C) The rate of change is -2

(D) The x intercept is (-2.75,0)

Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

Answer:

Parallel: y = -2x + 2 (Or any value that isn't 4), Perpendicular: 1/2x + (Anything),

Neither: y = 4x - 7 (Or any random equation that does not have the same, or opposite reciprocal slope)

Step-by-step explanation:

Answer:

Select all possible values for x in the equation.

x cubed=375.

5*the cubed root of 3

the cubed root of 375

75*the cubed root of 5

125*the cubed root of 3

I am trying to do a practice test to prepare for my real test tomorrow and I don't understand the question. Can anyone help explain it plz any help would be great.

Step-by-step explanation:

Answer:

here go the answer hope it help

Step-by-step explanation:

Answer:

The correct answers are:

• Option 1,

• Option 3 and

• Option 4

Step-by-step explanation:

From the two-way table, it is true that;

1.) 5 students study both French and Spanish.

2.) 30 students study French but not Spanish.

3.) 2 students study neither French nor Spanish

4.) 35 students study French

5.) 68 students study Spanish

6.) 63 students study Spanish but not French

This makes the correct answers options 1, 3 and 4

P.S: I believe your question is from the attached image

Answer:

A. 5 students study both French and Spanish.

C. 2 students study neither French nor Spanish.

D. 30 students study French, but not Spanish.

:)

Answer:

4.997

Step-by-step explanation:

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

The volume of the cone is 120π.

Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.

The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where \ r= radius , \ h = height[/tex]

A trap to catch fruit flies uses a cone in a jar.

The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)

1. The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 6^2\times 10\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 36\times 10\\\\ Volume \ of \ cone=120\pi \\\\[/tex]

The volume of the cone is 120π.

2. Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.

If you are dealing with everyday physical measurements, this accuracy for π will likely exceed the accuracy of your measurement (such as your height to within a millimetre or four hundredths of an inch!). Hence a calculated answer would not be more accurate than if you simply used 3.14 or, just to be sure, 3.142.

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Answer:

2 real solutions

Step-by-step explanation:

x=6i, -6i

Answer:

it would be $1800

Step-by-step explanation:

if each hoop costs $600, and they buy 3, 600 x 3 = 1800

Answer:

1800

Step-by-step explanation:

600 * 3 = 1800

Answer:

what

Step-by-step explanation:

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

Answer:

1) D

2) B

Step-by-step explanation:

Hope this Helps!

:)

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

Answer: 81.2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

Answer:

The answer is A, C, and D

The graph should be 7 units for x and 2 units for y.

Step-by-step explanation:

Full Question: Graph y = 2/7x

Look at attachment:

Hope this helps! :)

The graph of the linear function y = (2/7)x will be given below.

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The function is given below.

y = (2/7)x

Compare the function with standard equation of the line,

Then the slope of the function is 2/7 and the y-intercept is zero, that means the line is passing through origin.

Then the graph of the linear function y = (2/7)x will be given below.

More about the graph of the function link is given below.

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Answer:

C

Step-by-step explanation:

No soil bag weighs A or B and D is too much unless she has many acres.

Answer  The guy Above  is right

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

Answer:

x=6 and x=-2

Step-by-step explanation:

so

x(x-4)=12

first distribute

then move the terms

and the u get

x=6 and x=-2

hope this helped

Answer:

x=6, x=-2

Step-by-step explanation:

x(x-4)=12

distributive property, x^2-4x=12

x^2-4x-12=0

(x-6)(x+2)

therefore, x=6, x=-2

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

Answer:

I think option (d) is right answer

Answer:

c

Step-by-step explanation:

Answer:

1200

0.65

The answers are in the function

Answer:

quadratic equation

Step-by-step explanation:

Answer:

the equation shown here is a quadratic equation

Answer:

I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.

I'm not 100% sure so try at your own risk

Have a great day!

The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".

Mean is the process of "adding all values and then divided by total number of values".

Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle  point is the median or if 'n' is even then sum of two mid value and then divided by two".

Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".

According to the question,

Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.

Heights in inches                       Frequency

         55                                             1

          57                                              3

          58                                             3

          59                                              2

          60                                              1

          61                                               3

          62                                              3

          63                                              2

          64                                              2

          65                                              2

          66                                              1

           67                                              1

Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12

Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.

= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]

= [tex]\frac{1399}{24}[/tex]

= 58.29.

Mean of heights of siblings are 58.29

Median of the height of 24 siblings are sum of 61 and 62 divided by 2.

= [tex]\frac{61+62}{2}[/tex]                           [since 'n' is odd]

=61.5.  

Median of the height of 24 siblings are 61.5.

Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

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Answer:

14 mm

Step-by-step explanation:

Just write down the answer.

Answer:

28mm

Step-by-step explanation:

is the right answer