​Yesterday, Grace drove 35 1/2
miles. She used 1 1/4
gallons of gasoline. What is the unit rate for miles per​ gallon?

Answer:

fraction form 3/4

decimal form 0.75

percentage form 75%

Step-by-step explanation:

Answer:

0

x

Step-by-step explanation:

Step-by-step explanation:

that's the answer bbbbbbbb

Check the picture below.

how long will it take for it to hit the ground, or namely, what is "t" when h(t)  is 0.

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&100\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases}[/tex]

[tex]h(t)=-16t^2+100t+0\implies h(t)=-16t^2+100t\implies \stackrel{h(t)}{0}=-16t^2+100t \\\\\\ 16t^2-100t=0\implies 4t(4t-25)=0\implies \begin{cases} 4t=0\\ t=0\\[-0.5em] \hrulefill\\ 4t-25=0\\ 4t=25\\ t=\cfrac{25}{4}\\[1em] t=6\frac{1}{4} \end{cases}[/tex]

so h(t) is 0, as you saw on the picture, at two instances, once it was on the ground, 0 seconds, or t=0, and then t = 6.25, or 6 seconds and some change later.

Answer: 1.5 ft

Step-by-step explanation:

You can set up a proportion since the triangle are similar:

3 / 12 = x / 6

meaning x=1.5 ft

Answer:

Two points, (0,2) & (1,10)

Step-by-step explanation:

We already know the first point (0,2) just by looking at the +2 in the problem

Now we use the system rise/run to solve the problem

Go up vertically 8 to get to 10 (this is the rise part)

Next, go over 1 to get your x-axis point (this is the run part)

So our next point is (1,10)

Hope this helps and please award brainliest if possible :)

Answer:

Step-by-step explanation:

Using the equation given:

8 is the gradient and 2 is the y-intercept

We can draw a point at (0,2) y-intercept

And we can substitute x with 1 to give us (1,10)

Use the diagram below for further details

Answer:

It might be $5000 x .025 x 1 = $125

Step-by-step explanation:

Sorry if its wrong

Answer:

Ok

Step-by-step explanation:

Question: 5²-11 x 2

Answer: 5x5 -11 x 2

25-22

3

Hope this helps you

have a great day :)

Answer:

[tex]f(x)=\dfrac25x+\dfrac35[/tex]

Step-by-step explanation:

The data in the table means that if you input the value of x into the function, the output will be f(x).

The first two answer options are linear functions.  If a function is linear, the ratio of the difference in y-values to the difference in x-values is always constant.

We can see that the x-values in the table increase by 3 each time, so the difference in x-values is 3.

By calculation, we can also see that the y-values increase by 6/5 each time, so the difference in y-values is 6/5.

Therefore, the ratio of differences is 6/5 ÷ 3 = 2/5 and is constant.

So the function is linear and has a slope (gradient) of 2/5

Therefore, the function is: [tex]f(x)=\dfrac25x+\dfrac35[/tex]

Answer:

Step-by-step explanation:

The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...

  V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³

The 8-cm cube has a volume of ...

  V = s³

  V = (8 cm)³ = 512 cm³

The volume of the empty space is the difference of these volumes:

  space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³

  space ≈ 243.9 cm³

__

The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.

  top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²

The lateral area of the cylinder is ...

  LA = 2πrh

  = 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²

Then the total surface area of the birdbath is ...

  total area = top+bottom area + lateral area

  total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²

  = 3 102/175 m²

Answer:

x^2 -10x+25

Step-by-step explanation:

(x − 5)^2

(x-5)(x-5)

FOIL

first  x*x = x^2

Outer  -5 *x = -5x

inner  -5*x = -5x

last -5*-5 =25

Add them together   x^2 -5x-5x+25

Combine like terms  x^2 -10x+25

Hey there!

(x - 5)^2

= (x - 5)(x - 5)

= x(x) + x(-5) - 5(x) - 5(-5)

= x(x) - 5(x) - 5(x) - 5(-5)

= x^2 - 5x - 5x + 25

COMBINE the LIKE TERMS

= x^2 - 10x + 25

Therefore, your answer is:

x^2 - 10x + 25

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

(1.5,2.5)

Step-by-step explanation:

f(x) = 2x^2 - 6x + 7

Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)

f'(x) = 4x -6

0 = 4x - 6

4x = 6

x = 3/2 or 1.5

If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7

y = 2(9/4) - 18/2 + 7

y = (9/2) - 2

y = 2.5

See attached graph.

Answer:

A and D

Step-by-step explanation:

I really hope this helps, because this took me forever to figure out.

Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary. But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180° so

angle ∠ABC  90°  therefore subtract the 90 to 180 to get the final answer

180-90=90

Final Answer is ∠QRS 90

The age at which the maximum heart rate would be 135 beats per minute is 51 years.

In order to determine the age, take the following steps given this equation - M = 176 - 0.8A:

Substitute for M

135 = 176 - 0.8A

Combine similar terms

176 - 135 = 0.8A

Subtract 135 from 176

41 = 0.8A

Divide both sides by 0.8

A = 51 years

To learn more about division, please check: https://brainly.com/question/194007

The measure of the other angle in the linear pair is: 118°.

A linear pair is formed by two angles, whose sum equals 180 degrees.

Given that one of the angles of a linear pair is 62 degrees, the measure of the other angle will be its supplement.

Thus:

The other angle = 180 - 62 = 118°

Therefore, the measure of the other angle in the linear pair is: 118°.

Learn more about linear pair on:

https://brainly.com/question/13218054

If the team members want to brag about how tall they are, they should use the mean height of approximately 65.14 inches.

The basketball team should use the mean height as the measure of center to brag about how tall they are.

The team’s mean height is calculated by summing up all the heights and dividing by the total number of players. In this case, the sum of the heights is 64 + 67 + 83 + 65 + 66 + 62 + 69 = 456. Dividing 456 by the total number of players (7) gives us a mean height of approximately 65.14 inches.

The team’s median height is the middle value when the heights are arranged in ascending order. In this case, the heights arranged in ascending order are 62, 64, 65, 66, 67, 69, 83. The middle value is 66 inches.

If the team members want to brag about how tall they are, they should use the mean height of approximately 65.14 inches. The mean takes into account all the heights and provides an overall average, whereas the median only represents the middle value and may not accurately reflect the heights of all the players.

For more such answers on median

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#SPJ8

Answer:

x = 20°

explanation:

Steps:

[tex]\qquad\huge\underline{\sf Answer}[/tex]

now , subtract 20 from both sides which will give you, 160

divide both sides by 8

Hope it helps ~

SOLUTION:

=) 9 + 6² - 2 × 8

=) 9 + 36 - 16

=) 45 - 16

=) 29

The steps which could be used to solve x  are add negative 3. 6 to both sides and subtract 3. 6 from both sides.

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The expression given in the problem is,

[tex]x +3.6 = -1.7[/tex]

To isolate the terms x, add Negative 3. 6 to both sides as,

[tex]x +3.6+(-3.6) = -1.7+(-3.6)\\x=-1.7-3.6\\x=5.3[/tex]

Thus, by adding negative 3. 6 to both sides, the problem can be solved.

Instead of adding negative 3.6, subtract 3.6 from both sides in the given equation can also be work and give same result as,

[tex]x +3.6-3.6 = -1.7-3.6\\x=5.3[/tex]

Thus, a step which could be used to solve x add negative 3. 6 to both sides and subtract 3. 6 from both sides.

Learn more about the property of equality ehre;

https://brainly.com/question/1601404

Using the concept of the angle the conditions are solved. For any whole number n, 360+58n is coterminal with 418°. option C is correct.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

The measures of all angles are coterminal with a 418° angle.

a.  360+58n, for any whole number n.

For any whole number n, 360+58n is not coterminal with 418° except one.

b.  58+360n, for any integer n.

For any integer number n, 360+58n is coterminal with 418° except zero.

c.  58+360n, for any whole number n.

For any whole number n, 360+58n is coterminal with 418°.

d.  360 58n, for any integer n.

For any integer number n, 360+58n is not coterminal with 418° except one.

Thus, for any whole number n, 360+58n is coterminal with 418°. option C is correct.

More about the angle link is given below.

https://brainly.com/question/15767203

Answer:

313003.6

Step-by-step explanation:

The number increases by 3 percent every year so 313003.6 is it.

Answer:

[tex]\sqrt{154}[/tex] is A) already simplified

Step-by-step explanation:

Answer:

B. 136 °

Step-by-step explanation:

Given:  m and n intersect to form a 44° degree angle

⇒ (180 - 44)°

⇒ 136 °

Answer: B. 136 degrees

Answer:

[tex]y=0.2*4^{x}[/tex]

Step-by-step explanation:

Notice when x increases 1, y is 4 times the previous one, so

the function is like [tex]y=C*4^{x}[/tex]

To determine the constant C, put any pair of (x, y)

Use x = 0, y = 0.2, so

0.2 = [tex]C*4^{0}[/tex] = C * 1 = C

then [tex]y=0.2*4^{x}[/tex]

Answer:

[tex]y=(0.2)4^x[/tex]

Step-by-step explanation:

General form of the exponential function: [tex]y=ab^x[/tex]

Substituting the first point (0, 0.2) into the function:

[tex]\implies 0.2=ab^0[/tex]

As any number to the zero power always gives one, [tex]b^0=1[/tex]

[tex]\implies0.2=a \times 1[/tex]

[tex]\implies a=0.2[/tex]

Therefore, [tex]y=(0.2)b^x[/tex]

Substituting the second point (1, 1.8) into the function:

[tex]\implies0.8=(0.2)b^1[/tex]

[tex]\implies0.8=(0.2)b[/tex]

[tex]\implies b=\frac{0.8}{0.2}[/tex]

[tex]\implies b=4[/tex]

So the final exponential equation is:

[tex]y=(0.2)4^x[/tex]

Checking the equation with the remaining two points:

[tex]x=2 \implies (0.2)4^2=3.2 \ \ \ \checkmark[/tex]

[tex]x=3 \implies (0.2)4^3=12.8 \ \ \ \checkmark[/tex]

Answer:

$ 2.167

Let the cost of a pencil be x and that of a pen be y.

A pen costs twice as much as a pencil.

==> cost of a pen = 2 × cost of a pencil

==> y = 2x

Their total cost is $6.50

==> x + y = $6.50

since y = 2x, substituting y for 2x

==> x + 2x = 6.50

==> 3x = 6.50

dividing both sides by 3

==> x = 2.16

As per our assumption, x is the cost of one pencil.

Therefore, the cost of a pencil is $2.167