Get to has $12 to out gas in his car if gas costs 3.75 per gallon which ordered pair relating number of gallons of gas x to the total cost of gas

Answer:

$3

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

-c = -3

c = 3

So, a box of cereal costs $3

A box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00

Let c stand for the price of a box of cereal and m for the price of a milk jug.

The obtained system of equations is as follows,

2c + m = 8.5

3c + 2m = 14

Multiply the top equation by -2 to reach the solution by elimination:

-4c - 2m = -17

3c + 2m = 14

Put them all together to find c:

-c = -3

c = 3

Thus, a box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

[tex]x=12,\\y=12\sqrt{3}[/tex]

Step-by-step explanation:

In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,

Therefore, we have:

[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]

Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:

[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]

Answer:

[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]

Step-by-step explanation:

Look at the picture.

We have:

[tex]2a=24\\a=x\\a\sqrt3=y[/tex]

Therefore:

[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]

Answer:

27%

Step-by-step explanation:

Answer:

p(j)=27% is correct answer

Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7

Answer:

A

Step-by-step explanation:

We have the equation:

[tex]\displaystyle \frac{3}{8}y=2+x[/tex]

And we want to determine whether or not this represents a direct proportion.

First, let's solve for y. Multiply both sides by 8/3:

[tex]\displaystyle y=\frac{16}{3}+\frac{8}{3}x[/tex]

Remember that direct proportions must pass through the origin point on a graph. In other words, their y-intercept or constant value is zero.

Since the constant value here is not zero (it is 16/3), the equation is not direct proportion.

Our answer is A.

Answer:

I am a piano so yeah I'm just typing to fill the character requirement

Step-by-step explanation:

get got

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

Answer:

B) =−7j−k−1

Step-by-step explanation:

10k+17-7j-18-11k what we have

=(−7j)+(10k+−11k)+(17+−18) combine like terms

=−7j−k−1

Answer:

-7j-k-1

Step-by-step explanation:

for this problem you have to subtract the like terms while following the order of the equation (start with the terms on the left and move terms)

Step 1:

-7j has no like terms

= -7j

Step 2:

10k and -11k are like terms

10k-11k

= -1k

Step 3:

17 and -18 are like terms

17-18

= -1

Step 4:

put all simplified terms together

=-7j-k-1

[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]

[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]

                 [tex]\searrow[/tex]

                     [tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]

[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]

[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]  

                                                             [tex]\huge {\text {$ \sf \downarrow$}}[/tex]

           [tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex]                        [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]

[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]

                                           [tex]\huge {\text {$ \it Alternative \: A $}}[/tex]

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Answer:

Step-by-step explanation:

Answer:

a on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.

The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.

Solving for slope in the first table:

[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is

y = 3x - 4

Solving for the slope in the second table:

[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is

y = -1x + 3 or just y = -x + 3

That's the system, which happens to be choice D

Answer:

Volume of the cone given rounded to two decimal places is 1415.65in

Explanation:

Volume of a cone

[tex] = \pi {r}^{2} \frac{h}{3} [/tex]

[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]

[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]

[tex] = 1415.65644[/tex]

The answer is 3 to the 3/4 power.

Answer:

x^4+4x^3+6x^2+7x+2

Answer:

5.86

Step-by-step explanation:

Answer:

x = 5.86

Step-by-step explanation:

x / 15 = cos67°

x = 15cos67°

x = 5.86

Answer:

105.

Step-by-step explanation:

.

Answer:

€1.39

Step-by-step explanation:

£0.72 ÷ 0.72 = 1÷0.72

£1= €1.39

Hello!

|m² - 7| + n² =

= |-2² - 7| + 5² =

= |-4 - 7| + 5² =

= |-11| + 5² =

= 11 + 5² =

= 11 + 25 =

= 36

Good luck! :)

Answer:

28

Step-by-step explanation:

In between 2000 and 90000

Don't use a 2

Answer:

15, 21, 35, 105

Step-by-step explanation:

A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.

So, if we multiply 3x5x7=105  

All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are

15, 21, 35, 105

The list all the composite factors of K : 15, 21, 35, 105

"It is an integer that has only two different factors 1 and that integer itself."

"It is a method to find the prime factors of a given number."

"It is an integer that has more than two different factors. "

For given question,

The prime factorization of K is:

K = 3 × 5 × 7

This means the number K is, 3 × 5 × 7 = 105

The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

We need to list all the composite factors of K.

From above factors of 105 we can observe that,

15 has factors 1, 3, 5, 15;

21 has factors 1, 3, 7, 21;

35 has factors 1, 5, 7, 35;

and 105 has more than two factors factors as mentioned above.

This means, the numbers 15, 21, 35 and 105 are composite numbers.

Therefore, the list all the composite factors of K : 15, 21, 35, 105

Learn more about the prime factorization of number here:

https://brainly.com/question/22692933

#SPJ2

Answer:

D

Step-by-step explanation:

-10 < -6 - 1

-10 < - 7 (ok)

-10 < -4 - 3

-10 < -7 (ok)

The answer is D (-2, -10)

Answer:

sorry I don't know

Step-by-step explanation:

.........

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

[tex]y=ab^x[/tex]                 ...(i)

Where, a is the initial value and b is the growth factor.

Putting [tex]x=1,y=1[/tex] in (i), we get

[tex]1=ab^1[/tex]                  ...(ii)

Putting [tex]x=3,y=9[/tex] in (i), we get

[tex]9=ab^3[/tex]                  ...(iii)

Divide (iii) by (ii).

[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]

[tex]9=b^2[/tex]

[tex]3=b[/tex]

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

Answer:

exponential growth factor is 3

Step-by-step explanation:

Answer:

$1,920

$10,880

Step-by-step explanation:

Amount marlene earns per year = $12,800

Percentage of taxes = 15%

how much money is paid in taxes?

Amount of tax Marlene pays = 15% of $12,800

= 15/100 × $12,800

= 0.15 × $12,800

= $1,920

how much money is left for Marlene to spend?

Amount left for Marlene to spend = Amount marlene earns per year - Amount of tax Marlene pays

= $12,800 - $1,920

= $10,880

Answer:

31

Step-by-step explanation:

[tex]3+7[/tex] × 4        Multiply first

3 + 28           Then add

31