Xiao bought ​ 4 3/10 ​ gallons of gas that cost $2.50 per gallon.

What is the total cost of the gas?

Enter your answer in the box.

Answer:

761090000

Step-by-step explanation:

10⁸ = 100000000

7.6109 * 100000000 = 761090000

Answer:

761090000

Step-by-step explanation:

=7.6109×10^8

=761090000

ANS

x² + y² = 6xy

or, (x + y)² - 2xy = 6xy

or, (x + y)² = 8xy

or, (x + y)² = 2³xy

Taking (log) in both sides, we get

log (x + y)² = log (2³xy)

or, 2 log (x + y) = log (2³) + logx + logy

or, 2 log (x + y) = 3 log2 + logx + logy

there hopefuly it help!!!

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

T = 0.50m + 3.5p

Step-by-step explanation:

if T is the total cost and m is the miles driven and you have a fee of $3.50, the equation would be 3.50 + 0.50m = T which can be written like that or re written as T = 0.50m + 3.5p.

hope this helps :)

Answer:

f^-1(x) = (x+2)/3

Step-by-step explanation:

F(x) = 3x-2

substitute x for y, and f(x) for x:  x = 3y - 2

Solve for y:  x + 2 = 3y

y = f^-1(x) = (x+2)/3

Answer:

10 squared

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

6*6 = 36 4*4 = 16

36+16=52

Answer:

Step-by-step explanation:

The slope of a line can be calculated:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]

We know that the slope is 7, so we want to solve for [tex]y_2[/tex]

[tex]\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3[/tex]

Answer:

About 6.44 kilometers

Step-by-step explanation:

I mile is approximately 1.61 kilometers, so 4 miles would be 1.61 · 4 = 6.44 kilometers.

Hope this helps!

Answer:

D. all real numbers

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

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

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

Answer:

Step-by-step explanation:

Answer:

12-foot shadow

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

The average rate of change over an interval is the same as the slope between those two values.  The formulate for slope is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

You are given the x values: x2=3 and x1=-9.  Plug in these x values to g(x) find the y values:

g(3)=3^2+5(3)-2=9+15-2=22

g(-9)=(-9)^2+5(-9)-2=81-45-2=34

Now, you can solve for m:

m=(22-34)/(3--9)

m=-12/12

m=1

Hope this helps!!

the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

The average rate is the change of expression with respect to time.

Given the expression g(x)=x^2+5x-2 within the interval -9 ≤ x ≤ 3​

At the lower interval x = -9

g(-9) = (-9)²+5(-9)-2

g(-9)= 81-45-2

g(-9) = 34

At the upper interval x = 3

g(3) = (3)²+5(3)-2

g(3)= 9+15-2

g(3) = 22

The average change of the function will be expressed as:

[tex]\frac{\triangle y}{\triangle x} =\dfrac{g(b)-g(a)}{b-a}\\ \frac{\triangle y}{\triangle x} =\dfrac{g(3)-g(-9)}{3-(-9)}\\\frac{\triangle y}{\triangle x} =\dfrac{22-34}{12}\\\\\frac{\triangle y}{\triangle x} =\dfrac{-12}{12} \\\frac{\triangle y}{\triangle x} =-1[/tex]

Hence the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

Learn more here: https://brainly.com/question/7590674

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length [tex]5\sqrt{3}[/tex]. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is [tex]5\sqrt{3}[/tex].

[tex]\tan(\theta)=\frac{5}{5\sqrt{3}}[/tex]

[tex]\tan(\theta)=\frac{1}{\sqrt{3}}[/tex]

[tex]\theta=\tan^{-1}(\frac{1}{\sqrt{3}})[/tex]

[tex]\theta=30[/tex]

So 90-30=60.

The answer therefore 60+90=150.

Answer:

D 150 degrees

Step-by-step explanation:

got it right on edge

Answer:

it is (8;1)

Step-by-step explanation:

Answer:

(8, 1)

Step-by-step explanation:

When a point undergoes a reflection across the y-axis, it follows the following transformation:

(x, y) --> (-x, y)

(8, 1) --> (-8, 1)

Answer:

it means that John GAINED $163 by selling stocks.

Step-by-step explanation:

Answer:

$30.81

Step-by-step explanation:

4.89 x 6.3 = 30.807 = 30.81 (rounded)

30 dollars

81 cents

Answer:

36.18

Step-by-step explanation:

316800

Step-by-step explanation:

Answer:

This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. And third, there's the ASA postulate.

Step-by-step explanation:

Googled it. Hope this helps

Answer:

4n r+

Step-by-step explanation:

Try using calculator cause I seen this before.

Answer:

1,908

Step-by-step explanation:

Answer:

Pesa 1.088kg

Step-by-step explanation:

Peso jarra vacía --> 0.64kg

Peso jarra llena de agua --> 1.728kg

Peso agua = peso jarra vacía - peso jarra llena

Peso agua = 1.728kg - 0.64kg = 1.088kg

Peso agua= 1.088kg

Answer:C) She would have $216.88.

Step-by-step explanation:

A) Deposits:  +34.98; +51.02; +51.22

Withdrawals:  -5.23; -5.22; -7.89

B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22

The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.

98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88

Answer:

5x+9−2x+13=67

3x+9+13=67

3x+22=67

3x=45

x=15

Mark brainliest!!

Step-by-step explanation:

3x + 22 = 67

3x = 67 - 22

3x = 45

x = 45/3

put the this is ur calculator and u will get the answer

Answer:

(a) 2000 mL

(b) 70 mL, 30 mL

(c) No

Step-by-step explanation:

Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.

(a) Let x mL of Artesia is added to 500  mL of Borromeo to produce a 60% acid solution.

So, 70% of x + 20% of 500 = 60% of (x+500)

[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]

[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.

(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.

So, x+y=100\Rightarrow y= 100-x

And, 70% of x + 20% of y = 55% of (100)\\\\

[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]

[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.

and y= 100-x= 100-70=30 mL.

(c)  Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.

And, 70% of x + 20% of y = 80% of (x+y)

[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]

As x and y are amount of Artesia and Borromeo, so x>0 and y>0

[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.

Ad the negative value of x/y is not so x/y=-6 is not possible, hence,  any combination of Artesia and Borromeo that is 80% acid solution is not possible.

Answer:

Area: [tex]9 cm^{2}[/tex]

Step-by-step explanation:

Since all sides of a square have equal lengths, the area of the square is [tex]a^{2}[/tex] (a = length of a side).

Since the length of the side of the square is given (is 3cm), the area of the square is [tex](3cm)^{2}[/tex] =  [tex]9cm^{2}[/tex]

Answer:

9

Step-by-step explanation:

3 by 3 is 9