Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality

Answer:

[tex]\frac{15}{17}[/tex]

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sin²x = 1 - cos²x

sinx = [tex]\sqrt{1-cos^2x}[/tex]

Hence

sinΘ = [tex]\sqrt{1-(8/17)^2}[/tex]

        = [tex]\sqrt{1-\frac{64}{289} }[/tex]

        = [tex]\sqrt{\frac{225}{289} }[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

Step-by-step explanation:

2 sets of books

The area of a parallelogram is given by

[tex]A=bh[/tex]

Now, if we consider the 9.9 inches side as the base, then the height is the one labeled with 5.5 inches.

If instead we choose the 11 inches side as the base, the height is h.

So, we can express the area in this two equivalent ways:

[tex]A = 9.9\cdot 5.5 = 11\cdot h[/tex]

Solving for h, we have

[tex]h = \dfrac{9.9\cdot 5.5}{11} = 4.95[/tex]

Value of x is 140

Tangent are present that means those angles are of 90° and 90° + 90° = 180°

One angle is already given 40°

By angle sum property of Quadrilateral

We can get its value

Love from India❤

Answer:   [tex]32\pi[/tex] cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

[tex]V_{cone}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

[tex]r=\frac{8units}{2}\\\\r=4units[/tex]

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

[tex]V_{cone}=\frac{1}{3}\pi (4units)^2(6units)[/tex]

[tex]V_{cone}=32\pi \ units^3[/tex]

Answer:

b. 32

Step-by-step explanation:

e2020 says so

Answer:

The answer is 1 over 4

Step-by-step explanation:

Answer:

1/4.

Step-by-step explanation:

The spinner has 4 sections, and 1 out of those 4 is the black one, that of which we are seeing the probability of landing on it.

1 chance out of 4 for landing on black.

therefore, your answer is 1/4.

sorry if i'm late but I needed the points :)

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Let's build the f(c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f(c) =17.12c -14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

So

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

The original statement is true only if:

Options a and d are equivalent:

[tex]P\implies Q \iff \lnot Q \implies \not P[/tex]

and they both are true in the same cases as above.

Option c is also fine, because it is false only if both England and Africa are both countries, just like the original statement.

Option b, instead, is true only if neither of the two options are countries, so it doesn't cover the cases where only one of the two is a country.

Answer:

Both are cities smh ‍♂️

Step-by-step explanation:

Answer:

The equation that describe the situation is

[tex]b^{3}-9b^{2}-18,900=0[/tex]

Step-by-step explanation:

we know that

The volume of a square pyramid is equal to

[tex]V=\frac{1}{3}b^{2} h[/tex]

where

b is the length side of the square

h is the height of the pyramid

we have

[tex]V=6,300\ in^{3}[/tex]

[tex]h=(b-9)\ in[/tex]

substitute the values and solve for b

[tex]6,300=\frac{1}{3}b^{2} (b-9)\\ \\18,900=[b^{3}-9b^{2}]\\ \\b^{3}-9b^{2}-18,900=0[/tex]

Using a graphing calculator

[tex]b=30\ in[/tex]

[tex]h=(30-9)=21\ in[/tex]

Answer:

A is correct on edge 2022

Step-by-step explanation:

Answer:

11.7

Step-by-step explanation:

a^2+b^2=c^2

10^2+6^2=c^2

100+36=c^2

add 100+36=136

square root of 136 = 11.6619037897

= 11.7

Answer:

88?

Step-by-step explanation:

Since XPY is a lot smaller and 23 degrees, 88 degrees makes the most sense.

Answer:

B

Step-by-step explanation:

In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3).  We are told the slope, so everything we have fills in like this:

[tex]3=\frac{1}{4}(1)+b[/tex]

Now we just need to solve for b:

[tex]3-\frac{1}{4}=b[/tex] and

[tex]\frac{12}{4}-\frac{1}{4}=b[/tex] so

[tex]b=\frac{11}{4}[/tex]

Answer:

e.

Step-by-step explanation:

Each side is multiplied by 5.

It is the multiplication property of equality.

Answer: 48 fl oz ( fluid ounces )

Explanation:

1 c = 8 fl oz

1 1/2 c = 12 fl oz

12 fl oz of milk × 4 Days =

48 fl oz in four days

Answer:

its option D

Step-by-step explanation:

The angle measures of triangle VUW is D) m∠V = 60°, m∠U = 90°, m∠W = 30°

All three angles in any triangle always upload as many as 180 degrees. So in case you best have of the angles with you, just upload them together, after which subtract the sum from 180. EX: A Triangle has three angles A, B, and C.

The method for finding the sum of the measure of the indoor angles is (n - 2) * 180. To discover the degree of 1 indoors perspective, we take that method and divide via the range of aspects n: (n - 2) * a hundred and eighty / n.

Learn more about Triangle at https://brainly.com/question/17335144\

#SPJ2

Answer:

tire A=39 revolutions

tire B=38 revolutions

tire C= 37 revolutions

Step-by-step explanation:

The question is on circumference

Tire A diameter = 15 +4.60+4.60=24.20 inches

Tire B diameter= 16+4.43+4.43=24.86 inches

Tire C diameter=17+4.33+4.33=25.66 inches

Finding the circumference/single revolution

Tire A = 2×3.14×24.20=151.98 inches

Tire B= 2×3.14×24.86=156.12 inches

Tire C=2×3.14×25.66=161.15 inches

Number of revolutions made

Track length=500 feet.............change feet to inches

500×12=6000inches

Revolutions for tire A= 6000/151.98 =39.47⇒39 revolutions

Revolutions for tire B=6000/156.12 =38.43⇒38 revolutions

Revolutions for tire C= 6000/161.15 =37.23⇒37 revolutions

Answer:

36 ft³

Step-by-step explanation:

The volume of a rectangular prism is computed by multiplying the length, width, and height:

V = LWH = (9 ft)(1 ft)(4 ft) = 36 ft³

Answer:

  D.  y = -1/5x +32/5

Step-by-step explanation:

The equation of the line passing through point (h, k) with slope m can be written ...

  y = m(x -h) +k

Filling in your given values, the equation is ...

  y = -1/5(x -(-3)) +7

  y = -1/5x -3/5 +7 . . . . eliminate parentheses

  y = -1/5x +32/5 . . . . . combine constants

Answer:

  42 ft/s

Step-by-step explanation:

The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is (10+4)/2 = 7 ft/s^2, so the change in velocity is ...

  (7 ft/s^2)(6 s) = 42 ft/s

The velocity of the car at t=6 is 42 ft/s.

The velocity of the car at t=6 is 42 ft/s.

The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is [tex](10+4)/2 = 7 ft/s^2[/tex], so the change in velocity is ...

[tex](7 ft/s^2)(6 s) = 42 ft/s[/tex]

The velocity of the car at t=6 is 42 ft/s.

x^2 = 4 -7x

Need to rewrite the equation in quadratic form.

Add 7x to each side:

x^2 +7x = 4

Subtract 4 from each side:

x^2 + 7x - 4 = 0

Now using the quadratic formula -b +/-√(b^2-4(ac)) / 2a

We can solve for x.

a = 1, b = 7 and c = -4

Replace the letters with their values:

-7 +/- √(7^2 -4(1-4)) / 2*1

Simplify:

-7 +/- √65 /2

The exact answers are:

X = -7 + √65 / 2 and X = -7 - √65 / 2

Answer:

X = -7 + √65 / 2 and X = -7 - √65 / 2

Step-by-step explanation:

Answer:

16.6 in

Step-by-step explanation:

The volume (V) of a pyramid is

V = [tex]\frac{1}{3}[/tex] area of base × h

where h is the perpendicular height and area of base = 14² = 196

here V = 980, so

[tex]\frac{1}{3}[/tex] × 196h = 980 ( multiply both sides by 3 )

196h = 2940 ( divide both sides by 196 )

h = 15

Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse

Using Pythagoras' identity in the right triangle

s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )

s = [tex]\sqrt{274}[/tex] ≈ 16.6

The answer is:

The correct option is the third option;

[tex]-23\leq t\leq 50[/tex]

To find which of the options expresses the intersection of the three days as an inequality in terms of temperature "t" we need to find an inequality which starts at the lowest temperature (greater or equal) and finish at the highest temperature (less or equal).

So, we have that the lowest temperature is -23°F and the highest temperature is 50°F, there are two options for that range, but we need to consider that the temperature will range from -23° to 50°, so, the correct option is the third option;

[tex]-23\leq t\leq 50[/tex]

We can see that the inequality express that the temperature will range from -23°F being greater or equal than that, to 50°F being less or equal than that.

Have a nice day!

12x18.2/2=109.2 is the area of the big triangle and also the same area could be found 20 x h=109.2 so

h= 109.2/20=5.46 m

Answer:

48 minutes.

Step-by-step explanation:

Reggie can line [tex]\frac{1}{120}[/tex] of a football field in one minute.

Rosalinda can line [tex]\frac{1}{80}[/tex] of a football field in one minute.

[tex]\frac{1}{120}[/tex] + [tex]\frac{1}{80}[/tex] =  [tex]\frac{1}{48}[/tex], so together, they can line [tex]\frac{1}{48}[/tex] of a football field in one minute.

[tex]\frac{1}{48}[/tex] * 48 = 1

They can line 1 football field together in 48 minutes.

Answer:

16/21 km

Step-by-step explanation:

The LCD here is 42.  Thus, 8  3/7 km = 8  18/42 and 7  4/6 km = 7  28/42 km.

The difference in the two distances is

 8  18/42  km

- 7   28/42 km

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

or:

 7  60/42 km         Here I have borrowed 42/42 from that 8.

- 7  28/42 km

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

     32/42 km,   or 16/21 km

Answer:

Step-by-step explanation:

[tex]12.\ a^v=1\to a^v=a^0\to v=0\\\\\text{because}\ a^0=1\ \text{for any}\ a\neq0.\\\\13.\ \ b^{-w}=\dfrac{1}{b^9}\to \dfrac{1}{b^w}=\dfrac{1}{b}\to b=9\\\\\text{because}\ a^{-n}=\dfrac{1}{a^n}\ \text{for any}\ a\neq0\\\\14.\ \dfrac{3^3}{3^y}=\dfrac{1}{9}\to\dfrac{3^3}{3^y}=\dfrac{3^0}{3^2}\to 3-y=-2\to y=5\\\\\text{used}\ \dfrac{a^m}{a^n}=a^{n-m}\\\\15.\ 5^8\cdot5^z=1\to5^{8+z}=5^0\to8+z=0\to z=-8\\\\\text{used}\ a^n\cdot a^m=a^{n+m}[/tex]

[tex]16.\ 7^n\cdot 7^m=1\to7^{n+m}=7^0\to n+m=0\to n=-m\\\\17.\ \dfrac{3^x\cdot2^2}{3^4}=\dfrac{4}{3}\to3^{x-4}\cdot2^2=3^{-1}\cdot2^2\to x-4=-1\to x=3[/tex]

18 x 15 x 3 is 810. The volume is 810. (Also you cant give 99 points but I’ll take a brainlist answer?)

Answer:

[tex]810\text{ cm}^3[/tex].

Step-by-step explanation:

We have been given an image of a container. We are asked to find the volume of nuts could the container hold.

We can see that our given container is in form of cuboid, so we will use volume of cuboid formula to solve our given problem.

[tex]\text{Volume of cuboid}=\text{Length*Width*Breadth}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\text{Volume of container}=18\text{ cm}\times 15\text{ cm}\times 3\text{ cm}[/tex]

[tex]\text{Volume of container}=810\text{ cm}^3[/tex]

Therefore, the container can hold 810 cubic cm of macadamia nuts.

4. His percentage is 79% so making each shot is 79%

Multiply the percent for each shot for each shot:

Making two shots = 0.79 x 0.79 = 0.624 = 62.4% Round the answer to 62% if needed.

5. They have 4 different flavors and 6 different toppings.

a. Picking vanilla is 1 out of 4 = 1/4 and picking chocolate chips is 1 out of 6 = 1/6.

The probability of picking both is 1/4 x 1/6 = 1/24

b.  There are a total of 10 different things to pick.

Picking chocolate ice cream is 1 out of 10 = 1/10, picking marshmallow topping is 1 out of 10 = 1/10

Picking one or the other would be 2 out of 10 = 2/10 which reduces to 1/5

Answer:

4. 79%

5. 1/24 and 1/5 for part a and b

Answer:

Out of the 6 observations when the temperature is between 90 and 99, 2 are on Thursday.

2/6 = 33%

Out of the 4 observations when the temperature is less than 90, 1 was on Monday.

1/4 = 25%

Out of the 26 observations when the temperature is greater than 89, 4 were on Friday.

4/26 = 15%

Out of the 6 observations when the temperature is between 90 and 99, 2 are on Thursday.

2/6 = 33%  

Out of the 1 observation when the temperature is between 110 and 120, none were on Sunday.

0%

To calculate probabilities of certain observations concerning different variables, we need relevant data pertaining to those variables. Without this data, it's challenging to calculate precise probabilities. In such cases, we use the closest available data or make educated assumptions.

To find the probability of different observations, we need specific data that relates to those situations. For example, to find the probability that an observation is on a Thursday when the temperature is between 90 and 99, we would need historic data that captures temperature observations on Thursdays. Similarly, other probabilities also need specific data. For instance, to know the probability of an observation being on a Monday with temperature less than 90, or a Friday where the temperature is greater than 89, we would need historic temperature measurements for these specific days. However, since the provided information doesn't include specific data needed to calculate the probabilities asked in the question, we can't provide precise probabilities. Probability in statistics is generally calculated based on relevant data that is representative of the situation of interest. In situations where it is necessary to estimate the probability without access to specific data, we might use available data that is as closely matching as possible, or might make educated assumptions.

https://brainly.com/question/32117953

Answer:

Every 70th visitor

Step-by-step explanation:

Find the least common multiple of 2, 10, and 7.

Write the prime factorization:

2 = 2

7 = 7

10 = 2×5

So the LCM is:

LCM = 2×5×7

LCM = 70

Every 70th visitor will get a bag containing all 3 items.