Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per
gigabyte. She wants to keep her bill under $60 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Lily
can use while staying within her budget.

the length of point AC is 13.67cm

Answer:

y = x + 11

Step-by-step explanation:

x = Number of donuts Dave sells

y = Total amount of donuts Alex sells

Amount earned by Alex = $11 more than Dave's earning

This means y is greater than x by $11

Total amount of donuts Alex sells = Number of donuts Dave sells + $11

y = x + 11

Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 ( to the nearest tenth )

Answer:

4

Step-by-step explanation:

If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4

Answer:

xjxjxjzjzjxxjxjxjxjx

Answer:

first answer  20

Second answer 1/2

For the last on I think it’s 1/4

Step-by-step explanation:

Lol Sorry if I’m wrong

Answer:

1. 5 1/4 or 5.25 or 21/4

2. 1/2

3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75

Step-by-step explanation:

Answer:

creo que si

Step-by-step explanation:

primero hacemos lo primero

y luego lo segundo

Answer:

Number of weeks= 3.63 weeks

Step-by-step explanation:

First, we need to determine the total amount to be saved:

Difference= 500 - 256

Difference= $254

Now, the number of weeks given the following formula:

Number of weeks= amount to be saved / savings per week

Number of weeks= 254 / 70

Number of weeks= 3.63 weeks

Answer:

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $3.25 for 1 gallon of gasoline.

Step-by-step explanation:

To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.

Noah spent $66 for 20 gallons of gasoline.

Amount spent $66, 20 gallons. So

66/20 = $3.3

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $81.25 for 25 gallons of gasoline.

Amount spent $81.25, 25 gallons. So

81.25/25 = $3.25

Lydia spent $3.25 for 1 gallon of gasoline.

Answer:

height of the utility pole = 12 meters

Step-by-step explanation:

It is simple application of Pythagoras theorem.

In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.

The applying Pythagoras theorem.

H^2 = P^2 +B^2

⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144

⇒ P = 12 meters

hence, height of the utility pole = 12 meters

Answer:

4 months

Step-by-step explanation:

we take $300 ÷$75 which is per month

then we get 4 , which is our months

Answer:

132in²

Step-by-step explanation:

Answer:

should be like 1 out of 6 chances

Step-by-step explanation:

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]

So the area of the base is 24 in²

Answer:

The prime factors of 110 are 2, 5, and 11.

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Answer:

2 x 5 x 11 = 110.

Step-by-step explanation:

The prime factors of 110 are 2, 5, and 11.

-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110

-Prime Factorization of 110: 110 = 2 × 5 × 11

1 × 110 = 110

2 × 55 = 110  

5 × 22 = 110

10 × 11 = 110

11 × 10 = 110

22 × 5 = 110

55 × 2 = 110

110 × 1 = 110

Answer: with these values I don't find any of cones

Step-by-step explanation: volume is 1/3 x pi x r^2 x h

And radius r = diameter/2. Is you round pi/3 =1 it's easier.

Possible measures: d=2 and h=18

D= 4 and h= 4.5 or d= 6 and h=2

Answer:

181.5 in^2 to the nearest tenth.

Step-by-step explanation:

This consists of a rectangle and a triangle.

Area of the rectangle = 10 * 17  = 170 in^2

Area of the triangle:

The base  = 17-13 = 4 in.

The height ( that is the vertical line below the rectangle) can be found using Pythagoras:

H = √(7^2 - 4^2) = √33

Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2

Area of the whole figure = 170 + 11.489 = 181.489 in^2,

Answer:

50.8

Step-by-step explanation:

Answer:

21 & 23

Hope that helps!

Step-by-step explanation:

Answer:

Perimeter = 9700 cm

Step-by-step explanation:

Dimensions of sides are;

12, 2x, 12, 5, 5, circumference of semi circle

Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14

We see that x is the diameter. Thus, x = 14

Thus; base of trapezium that is 2x = 2 × 14 = 28

Also, circumference of semi circle = 2πr = 2π × 7 = 44

Thus;

Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44

Perimeter = 97 m

Converting to cm, we multiply by 100 to get;

Perimeter = 97 × 100 cm

Perimeter = 9700 cm

Answer:

3 is vertical angles

1 is same side interior

2 is corresponding angles

4 is straight angles

Step-by-step explanation:

Answer:

-1 and -5

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer:

Step-by-step explanation:

[tex]\sf m^2+6m+5=0[/tex]

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

[tex]\sf (m+1)(m+5)[/tex]

[tex]\sf (m+1)(m+5)=0[/tex]

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

[tex]\sf m+1=0[/tex]

[tex]\sf m+5=0[/tex]

Now, solve each of the 2 equations:

[tex]\sf m+1=0[/tex]

Subtract 11 from both sides:

[tex]\sf m+5=0[/tex]

Subtract 5 from both sides:

[tex]\sf m=-1,-5[/tex]

________________________________________

Answer:

4/5=bc/8

Step-by-step explanation:

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer:

5kg

Step-by-step explanation:

Here the given force is 2500N and

acceleration is 500m/s²

Now,

F = ma

m = F/a = 2500/500 = 5kg

Thus, The mass is 5kg

-TheUnknownScientist

Answer:

Step-by-step explanation:

Total handshakes:

Answer:

-7 to 7

Step-by-step explanation:

it is the range of the x values

Answer:

(1,2) is your vertex and (2,3) is your second point

Step-by-step explanation:

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:
i got it right on the quiz