Under his cell phone plan, Oliver pays a flat cost of $45 per month and $3 per gigabyte. He wants to keep his bill under $60 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget

Answers

Answer 1

Answer: g < 5

5 is the amount of gigabytes

Answer 2

Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:

3g + 45 ≤ 60.

where,

"g" represents the number of gigabytes used.

$3 is the cost per gigabyte.

$45 is the flat monthly cost.

$60 is the maximum budget.

Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.

He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.

The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.

Hence, the inequality is 3g + 45 ≤ 60.

Now, solve for g:

45 + 3g ≤ 60

Subtract 45 from both sides:

3g ≤ 15

Divide both sides by 3:

g ≤ 5

So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

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Related Questions

Use the scale factor 1:8 to find the missing dimension.

Item = baby giraffe
model = height = cm
actual = height = 1.84m

Answers

Answer:

0.23 m or 23 cm

Step-by-step explanation:

Accordingto the scale factor, the model is 8 times smaller than actual figure.

Its height is:

1.84 m * 1/8 = 0.23 m or 23 cm
model: actual=1:8model=actual/8

So

Actual=1.84m

Model:-

1.84/80.23m

A glass container holds 40 fluid ounces of tea. How many pints of tea does the glass container hold?​

Answers

Answer:

2.5

Step-by-step explanation:

40 divided by 16 is 2.5

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answers:

Mode = 6

Range = 7

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

Explanation:

The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.

Therefore, 6 is the mode. It shows up four times which is the most of any other value.

-------

The range is the difference of the min and max

range = max - min = 8 - 1 = 7

Write the phrase as an expression.
18 added to a number n

Answers

Answer:

n + 18

Step-by-step explanation:

n + 18

18 added to n: n + 18


Ex: 7 added to 3 = 3 + 7 = 10



Hope this helps!

The original blueprint for the Morenos living
room has a scale of 2 inches
5 feet, The family
wants TO use a new blueprint that shows the
length of the living room to be 15 inches. If
the width of the living room on the original
blueprint is 6 inches and the length is 9.6 inches,
what are the scale and the width of the new
blueprint?

Answers

Answer:

new width=9.375 in

new scale= 1 foot= 0.4 inches

Step-by-step explanation:

Firstly to find the width we can set up a proportion:

[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.

To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,

[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]

After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,

15/37.5= 0.4

I tried my best loooool

Please help!!! i'll give brainliest and offering 20 pts each!!!
write each trinomial in the form a(x+b)^2 or a(x-b)^2
please answer all questions correctly! please no spam :-(
5x^2 + 15x + 11.25
10x^2 +20x +10
1/4x^2 + x + 1
3x^2 + 5x + 25/12

explanation isn't necessary, but i will give brainliest to the person with an explanation/best explanation

Answers

Answer:

5(x +1.5)^210(x +1)^21/4(x +2)^23(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

Additional comment

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

If the diameter is 11, then what's the radius?

Answers

I’ll try and answer this the best as I can.

EXPLANATION: The radius of a circle is the distance from the center of the circle to any point on the circumference.

The easiest way to find the radius is by dividing the diameter in half

1/2 x 11 = 11/2 OR 5.5

ANSWER: the radius of the circle 11 cm in diameter would be 5.5 cm.


what are the guidlines

Answers

Answer:

A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice. 

Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent

Answers

total price : amount = individual price

6.57:5=1.31

Maya has warm 120 caramel apples to sell each caramel Apple is covered with
one topping how many caramel apples are covered with sprinkles

Answers

Answer:

The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.

Step-by-step explanation:

Given :

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

1/5 of the caramel apples are covered with peanuts.

1/3 of the caramel apples are covered with chocolate chips.

3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.

The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:

Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.

Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.

Step 3 - So, the value of 'n' is calculated as:

Step 4 - Simplify the above equation.

120 = 24 + 40 + 36 + n

n = 20

For more information, refer to the link given below:

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Answer:

There are 20 caramel apples that are covered with sprinkles.

Step-by-step explanation:

First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.

       so, there are 20 caramel apples that are covered with sprinkles.

{hope I helped you.]

Kate and Patty are both saving money to go to a Red
Sox game. Patty has $60 already and decides to put
$10 per week into her savings, while Kate doesn't have
any money to start, but commits to saving $25 every
week.
After 6 weeks, who will have more money saved?
EXPLAIN HOW YOU KNOW.

Answers

Answer:

kate will have more money

Step-by-step explanation:

cuz Kate have 25$ × 6 weeks = 150$

in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$

hey guys, i need help with this ill give you brainlist :)

Answers

Answer: C. 2 3/4 yards.

Hope this helps! :)

Please mark me brainliest.

Answer:

2  3/4

Step-by-step explanation:

Longest  - shortest =

  4 1/2     -   1 3/4   =  2 3/4

Find the measure of angle 4
689
44
68
90
136

Answers

Answer:

90 degrees

Step-by-step explanation:

It is a right angle

X^2 =11+2 sqrt30 find value of X

Answers

Answer:

If the question goes like this : x²=11+2

then the value of x will be √13

Step-by-step explanation:

x²=11+2

x²=13

x=√13 ans…

if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins

Answers

Answer:

418122 seconds

Step-by-step explanation:

First divide 400,500 by 50. That is 8010.

Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR

6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days

he roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
What is the slant height of the roof?

Answers

Answer:  20 meters

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

Explanation:

The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.

We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.

We'll use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]

It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.

I don't get this one?

Answers

Answer:

4000

Step-by-step explanation:

V=4/3(3)(10)^3

V= 4/3 (3)(1000)

V=4/3 (3000)

V=4000

AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]

Answers

Answer:

Answer is 6

Step-by-step explanation:

See it is equilateral so AB=AC=BC

Now we are given values of AB and AC, but they are equal so,

22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6

Hope it helps

BYE

124 7/8 drained in 25 mins how much is drained each min

Answers

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

I need help with this
Conclusion
And discussion
It’s a science assignments

Answers

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)? ​

Answers

Answer:

8,874%

Step-by-step explanation:

Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"

Max has a square piece of cloth. He cuts it in half from one corner to the opposite corner. How many sides does each of the cut pieces have?

Answers

Answer:

Step-by-step explanation:

You have a cloth:

____________

|                        |

|                        |

|___________|

and you cut it in half.

There are three sides

Answer:

Step-by-step explanation:

The cut pieces will each have three sides:  two that are equal and one that is the hypotenuse.

If the original square had sides of length s, then the cut pieces would each have two of that length:  s and s; the third side would have length h = √(s² + s²), or h = s√2.

HI can somebody outline it pls and tyy

Answers

Answer:

Step-by-step explanation:

*View the attached file*

Hope this helps!

Find two numbers whose product is 3 and the sum of whose reciprocals is 76/15

Answers

Answer:

xy=3_equation I

x+y=76/15 eq 2

Step-by-step explanation:

from eq

x=3/y

now put x=3/y in eq 2

3/y+y=76/15

(3+y^2) 15=76y

45+15y^2=76y

15y^2-76y+45=0

by using quardic equation

x=76+_root under 76^2-4×15×45/2×15

y= 5776+- 53.62/2×15

taking positive sign and taking negative sign

y=194.32

y=190.745

simplify l(m-n) + m (n-l) + n (m-l)​

Answers

2n(m - l)

Step-by-step explanation:

Multiplying :-

l(m-n) + m (n-l) + n (m-l)lm - ln + mn - ml + nm - nl

Solve the like terms :-

lm - ml - ln - nl + mn + nm2mn - 2nl

Take common :-

2n(m - l)...simplified

Hope it helps you !!

Answer:

-2ln + 2mn

Step-by-step explanation:

Simplify l(m-n) + m(n-l) + n(m-l)​

Step 1 : Distribute and multiply

l(m-n) + m(n-l) + n(m-l)​

l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)

lm - ln + mn - lm + mn - ln

Step 2: Combine like terms

lm - ln + mn - lm + mn - ln

lm - lm - ln - ln + mn + mn

0 -2ln + 2mn

Solution:

-2ln + 2mn

Hope this helps!

Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. he must determine the surface area of the tank so that he knows how much paint to purchase. what is the surface area of the tank? use 3.14 for π, and round your answer to the nearest whole number. refer to your staar 8th grade math reference sheet for the appropriate formula. question 9 options: 1413 ft2 5655 ft2 6855 ft2 7069 ft2

Answers

The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

What is surface area of cylinder?

Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi rh+2\pi r^2[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.

Put the values in the above formula,

[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]

Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

Learn more about the surface area of cylinder here:

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I just am confused what to do on 11-16 and if able to can’t 1-9 be checked

Answers

Answer:

add all the sides that you have and subtract it from 180

Step-by-step explanation:

Martín quiere poner una manguera color neón alrededor del helado que está afuera de su nevería para llamar la atención de sus clientes. Considerando las dimensiones del helado como se muestra en la figura, ¿Cuál es la longitud en centímetros de manguera que se requiere para rodear el helado? *

area 80 cm

longuitud 89. 44cm

215. 04 cm

295. 04 cm

304. 48 cm

384. 48 cm

Answers

La manguera que necesita Martín para rodear el helado es de 304,48m

Cómo calcular la longitud de la manguera que necesita Martín?

Para calcular la longitud de la manguera que necesita Martín para rodear el helado es necesario aplicar la siguiente fórmula matemática:

Longitud de la manguera = π × r + 2 × LLongitud de la manguera = 3,14 × 40 + 2 × 89,44 Longitud de la manguera = 125,6 + 178,88Longitud de la manguera = 304, 48 m

De acuerdo a lo anterior, la longitud de la manguera que necesita Martín es de 304,48m.

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HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?

A)Segment J K is congruent to Segment A B

B)Segment J K is congruent to Segment K L

C)Segment J L is congruent to Segment B A

D)Segment J L is congruent to Segment B C

Answers

Answer:

Choice C

Step-by-step explanation:

This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.

So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.

So first side:

BC is congruent  to JK

So second side:

CA is congruent  to KL

So third side:

JL is congruent  to BA

The third side is one of our answer choices.

That answer choice is C.

Answer:

c

Step-by-step explanation:

An inequality is shown.
2x + 5 ≥ 15
Which model represents the first step in solving this inequality?
A
+1
+1 +1
+1 +1
AA
+1
+1 +1 +1 +1
+1
+1 +1
B
+1 +1
+1
+1 +1
+1 +1 +1 +1 +1
AA
+1 +1
+1
+1
+1
+1
+1
+1 +1 +1
XXA
+1 +1
+1
+1
D
+1 +1 +1
AV
+1 +1
+1
+1 +1
+1 +1 +1

Answers

Answer:

Option A

Step-by-step explanation:

Step 1:  Solve the equation

[tex]2x + 5 \geq 15[/tex]

[tex]2x + 5 - 5 \geq 15 - 5[/tex]

[tex]2x \geq 10[/tex]

[tex]2x / 2 \geq 10/2[/tex]

[tex]x \geq 5[/tex]

Step 2:  What model represents the equation

Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.

Answer:  Option A

Given ↓The inequality 2x+5≥15

To Find ↓The solution to the inequality

Calculations ↓

First, subtract 5 on both sides

2x≥15-5

2x≥10

Now divide by 2 on both sides

x≥5

The correct option is Option A

hope helpful ~

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