The fuel gauge shows how much fuel is left in a 10 gallon tank. How far can you drive if the car's average fuel consumption is 40 miles per gallon?

2. i) 1/2 × x

x/2

ii) 1/5 × x

x/5

iii)1-(1/2+1/5)

1- (5/10+2/10)

10/10- 7/10

3/10

3/10×x

3x/10

3. i)15× $p

15p

ii) cost for 4 bananas= $g

cost for 1 banana = $g÷4

cost for 16 bananas = $g/4 ×16

=$g×4

=4g

iii)

Cost for an orange= $p

Cost for 5 oranges = 5×$p

Cost for 1 banana= $g÷4

Cost for 2 bananas = 2× ($g÷4)

Add both of the expressions to get the total cost for 2 bananas and 5 oranges.

(2×$g÷4)+(5×$p)

($g×2/4)+(5×$p)

2/4 can be simplified as 1/2

g×1/2+5p

(g/2)+5p

Hope this helps!

Answer:

m<BAC = 85°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

m<BAC = 170°/2

m<BAC = 85°

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

Considering a linear function for the radius, we have that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

[tex]r(t) = 0.03t + 48[/tex]

Thus, the volume of the sphere is given by:

[tex]V = \frac{4\pi r(t)^3}{3}[/tex]

[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]

After 300 seconds, the volume in cubic inches is given by:

[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

I'm so confused. I don't get the question. I know the options are:

A) 3,4, 5

B) 2, 10, 4

C) 2, 10, 3

D) 2, 15, 2

but I don't understand the question. Could you maybe be a bit more specific?

Answer:

Ron owns 1.25% of shares.

Step-by-step explanation:

400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.

The length οf the perpendicular is 2√2.

Trigοnοmetry is a branch οf mathematics that deals with the study οf relatiοnships between the sides and angles οf triangles. It includes the study οf trigοnοmetric functiοns such as sine, cοsine, and tangent, which are used tο sοlve prοblems in fields such as engineering, physics, and navigatiοn.

Step 1:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 8√2 and the angle at the base is 30 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(30°) = p/8√2

We can simplify this expressiοn by nοting that sin(30°) = 1/2 and 8√2 = 8√(2/2) = 8√(1/√2) = 8/√2. Substituting these values, we get:

1/2 = p/(8/√2)

Simplifying further, we can multiply bοth sides by 8/√2:

4/√2 = p

Tο express the result in simplest radical fοrm, we can ratiοnalize the denοminatοr by multiplying the numeratοr and denοminatοr by √2:

p = 4/√2 * √2/√2 = 4√2

Therefοre, the length οf the perpendicular is 4√2.

Step 2:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 4√2 and the angle at the base is 45 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(45°) = p/4√2

We can simplify this expressiοn by nοting that sin(45°) = √2/2 and 4√2 = 4√(2/2) = 4√(1/√2) = 4/√2. Substituting these values, we get:

√2/2 = p/(4/√2)

Simplifying further, we can multiply bοth sides by 4/√2:

2√2 = p

Therefοre, the length οf the perpendicular is 2√2.

To learn more about Trigonometry from the given link

https://brainly.com/question/24349828

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Answer:

y is equal to 4 if that's what ur asking for

Answer:

16 if ur asking for y^2+4=20

Step-by-step explanation:

Answer:

theta= 1.085

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Step-by-step explanation:

Let the larger no be = a

Difference of the numbers = a - 32

As per the question;

(a + 32) = 5(a - 32)

⇒ a + 32 = 5a - 160

⇒ 128 = 4a

⇒ a = 32

∴ The larger no is 32.

Answer:

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

Answer: A (-7,-4)

Step-by-step explanation:

Took the same test

Answer:

6.0

Step-by-step explanation:

practice many times

Answer:

20 years time

Step-by-step explanation:

Expression: 5x + 12

Coefficients (The number directly next to the variable): 5

Variable (A letter that stands for a unknown number): x

Term (A single mathematical expression): 5x , 12

Constant (A term that has no attached variables): 12

Answer:

Step-by-step explanation:

Answer:

a = -2

b =3

c =2

Step-by-step explanation:

f(x) = 2 + 3x – 2x²

Rewrite in descending powers of x

-2x^2 +3x+2

The form is ax^2 +bx +c

a = -2

b =3

c =2

Answer:

fourteen thousand six hundred and eighty nine

Step-by-step explanation:

1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)

Answer:

Fourteen-thousand and six-hundred eighty nine.

Answer:

10%

Step-by-step explanation:

1/10  = 10%

x = 6

Step-by-step explanation:

[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]

Answer: (negative solution): x=-2, (positive solution): x=6

Cost is 6 USD

Selling price is 6 + markup

Markup = 6 * 120 /100 put this expression and check again selling price

Selling price =  6 + (6 * 120) / 100

= 13,2 usd

Answer:

[tex] \frac{19}{3 } \: or \: 3 \frac{4}{5} [/tex]

Step-by-step explanation:

Change the mixed number into a regular fraction.

[tex] \frac{23}{5} - \frac{4}{5} [/tex]

Subtract the numerator.

[tex] \frac{19}{5} [/tex]

As a mixed number:

[tex]3 \frac{4}{5} [/tex]

The expected value of the game is the mean value of the game

The expected value of the game is $1

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]

Simplify

[tex]E(x) = \frac 74 - \frac34[/tex]

Evaluate

[tex]E(x) = 1[/tex]

Hence, the expected value of the game is $1

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

Richard= 16 years old

Teo= 7 years old

Step-by-step explanation:

Let Richard's and Teo's age be R and T years old respectively.

[tex]\textcolor{steelblue}{\text{Form 2 equations based on given information:}}[/tex]

R +T= 23 -----(1)

R= 2T +2 -----(2)

[tex]\textcolor{steelblue}{\text{Solving by substitution:}}[/tex]

Substitute (2) into (1):

(2T +2) +T= 23

3T +2= 23

3T= 23 -2

3T= 21

T= 21 ÷3

T= 7

Substitute T= 7 into (2):

R= 2(7) +2

R= 14 +2

R= 16

Thus, Richard is 16 years old and Teo is 7 years old.

Answer:

16 triangles I am pretty sure.

Step-by-step explanation:

for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong

Step-by-step explanation: