#3 D
MODELING REAL LIFE You consider buying a phone from one of two cell phone carriers. The table shows the total costs
(in dollars) of the phone and service for different numbers of months at Carrier A. The total cost y (in dollars) of the phone
and x months of service at Carrier B is represented by the equation y = 55x + 300. Which carrier has the lower initial fee?

The inequality: y < 10 represents Andy's  age.

Inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given:

To find: Inequality that represents Andy's possible  age.

Finding:

Let y = Andy's age

According to the question,

x = 2y + 5

x + y < 35

=> 2y + 5 + y < 35

=> 3y < 30

=> y < 10

Hence, the inequality: y < 10 represents Andy's  age.

To learn more about inequalities, refer to the link: https://brainly.com/question/24372553

#SPJ4

Total time Olumide spends practicing piano is 40 minutes.

For every five minutes of piano practice, Olumide spends 8minutes practicing guitar.

Total time he spends practicing guitar = 64 minutes

We need to divide 64 by 8 to get the number of times he plays guitar.

The number of times he plays guitar = 64 / 8 = 8

According to question, he plays guitar after every piano practice.

So, The number of times he plays piano = The number of times he plays guitar = 8

Each time he practice piano for 5 minutes. So,

Total time he spends practicing piano = 8 × 5 = 40 minutes.

Total time Olumide spends practicing piano is 40 minutes.

To know more about Mathematical Problems involving statements refer to the link :

brainly.com/question/14564489

#SPJ4

Distributionally robust stochastic optimization (DRSO) is a framework for decision-making problems under certainty, which finds solutions that perform well for a chosen set of probability distributions.

Review on r. gao and a. j. kleywegt. distributionally robust stochastic optimization with wasserstein distance -

Learn more about DRSO

brainly.com/question/2748639

#SPJ4

Convert 99 grams into pounds is 0.22.

In the US, the pound is the unit of mass that is utilized. It is symbolized by the letter lbs. Therefore, we must calculate the estimated number of grams in a pound. Both pounds and grams can be converted into one another as units of mass.

Since both systems of units may carry the same mass, the fundamental conversion rate between pounds and grams is crucial for international trade. Because just writing the numbers makes no sense, units should always be written after the final solution has been evaluated. The method of transposition may be used to discover the conversion of a given number of values from one unit to another by multiplying or dividing both sides of the equation by the same number.

Covert the unit = 99 gram

99 gram = 0.218258 pound

Rounding the converted number is 0.22.

To learn more about grams into pounds refer the link:

https://brainly.com/question/9821786

#SPJ9

It takes Hiroshi 30 years to reach his investment goal.

The formula for calculating the amount received on the principal amount (P) after t years at r% rate of interest is-

Amount = P(1 + r/100)^t

Let the principle amount with Hiroshi be P

then, the amount that Giulio starts with = 3P

Let time period for Giulio's investment = t

Then, the time period for Hiroshi's investment = 5t

Rate = 5%

As the investment goals of both the people are equal, they will get the same amount.

Therefore, we get the following equation-

P(1 + 20/100)^5t/4 = 3P(1 + 20/100)^t/4

(1 + 20/100)^5t/4 = 3(1 + 20/100)^t/4

[(1 + 20/100)^5t/4] /[(1 + 20/100)^t/4] = 3

(1 + 20/100)^(5t/4- t/4) = 3

(1 + 20/100)^(4t/4) = 3

(1 +0.2)^t = 3

(1.2)^t = 3

Taking log on both sides-

Log (1.2)^t = log 3

t log 1.2 = log 3

t = log 3/ log 1.2

t = 6.025

Time taken by Hiroshi to reach his investment goal = 5t

= 5(6.025)

= 30.128

Thus, it takes Hiroshi 30 years to reach his investment goal.

Learn more about compound interest here-

https://brainly.com/question/24924853

#SPJ9

The ratios are shown equivalent as by simplification done below.

Ratio is the representative of comparison of part of things in a complete thing. Equivalent ratios are collection of ratios that show same comparison. As per the given question, the equivalent ratios are calculated as follows -

First column -

Ratio = 6:2

Dividing both the parts of ratio by 2

Ratio = 3:1

Second column -

Ratio = 9:3

Dividing both the parts of ratio by 3

Ratio = 3:1

Third column -

Ratio = 12:4

Dividing both the parts of ratio by 4

Ratio = 3:1

Fourth column -

Ratio = 15:5

Dividing both the parts of ratio by 5

Ratio = 3:1  

Similarly, for rest of the columns, division by 6, 7 and 8 of both parts of ratio will give the result 3:1. Hence, the given rations are shown as equivalent ratios, by simplifying into 3:1.

Learn more about equivalent ratio -

https://brainly.com/question/18219942

#SPJ4

868.34 cubic yards (yd³) of mulch is needed to cover 2 ft in from the edge to a depth of 3.5 inches,

It is given that a circular flower bed, 320 ft in diameter which means radius[tex]=\frac{320}{2}= 160 \ ft[/tex]

Putting r = 160 in equation (1) , we get

[tex]A=160\times160\times3.14\\A=80384 \ ft \ sqaure \ units[/tex]

We need the mulch 3.5 inches deep

[tex]80384\times3.5=281344[/tex]

On dividing the above number by 324 , we will get the required cubic yards  [tex]\frac{281344}{324} =868.34[/tex]

Learn more about area of circle here :

https://brainly.com/question/15673093

#SPJ9

The function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

This function is linear. A linear variable function can be written in the form of y=f(x)=a+bx, where a and b are integers and x, is the variable. This function has one independent variable and one dependent variable. In the above given function y=f(x)=a+bx; y is the dependent variable and x is the independent variable.

Here since x number of rides are taken and the cost per ride is x so the total cost of x rides is given as 2x.

Since there is a total of $100 and an amount of ($10+$20=$30) is spent on entry and food respectively.

Therefore, total amount left after all the expenses can be expressed as:

f(x)=100-(30+2x)

f(x)=70-2x

f(x)=-2x+70

Therefore, function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

Learn more about Function at:

brainly.com/question/10439235

#SPJ4

Answer:

multiply simplify and work out the problem as slow as possible so you can get it right

Answer:

Yes, (2, -1) is a solution.

Step-by-step explanation:

Plug in 2 for x and -1 in for y and see if it is a true statement.

2x - y = 5

2(2) - (-1) = 5

4 - (-1) = 5  Subtracting a negative number is the same as adding a positive number

4 + 1 = 5

5 = 5  Since this statement is true, (2,-1) is a solution.

Answer:

3752

Step-by-step explanation:

there are 60 minutes in an hour so multiply 2.2 times 60

2.2 • 60 = 132 minutes

132 min • 36 fish = 3752

Answer:

tu respuesta es -1

Step-by-step explanation:

15-4(n-2) =27

15-4n+8=27

15-4n+8=27

23-4n=27

-4n+23=27

-4n+23-23=27-23

-4n=27-23

-4n=4

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

The area of the remaining rectangular plot of land is 4680m²

Area of rectangle:

Area of rectangle means the area covered by the rectangle.

The formula for area of rectangle is

A = l x b

where,

l is the length of the rectangle

b is the breadth or width of the rectangle

Given,

A rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer.

Here we need to find the remaining area of the rectangular plot land.

For that first, we have to find the area of each separately,

Like,

The area of the rectangular plot is,

A₁ = 40.0 x 120.0 m²

A₁ = 4800m²

Similarly, the area of the electric transformer is,

A₂ = 10.0 x 12.0 m²

A₂ = 120m²

Now the remining area is,

A = A₁ - A₂

A = 4800 - 120 m²

A = 4680m²

Therefore, the area of the remaining rectangular plot is 4680m².

To know more about Area of rectangle here.

https://brainly.com/question/20693059

#SPJ4

An irregular 14-sided polyhedron which has two congruent bases is as shown in the attached file.

A polyhedron is a three dimensional solid shape made by joining together polygons.

For example we can consider a prism having 12-sided regular polygons as bases because then there would be 2 bases and 12 lateral sides for a total of 14 sides for the polyhedron.

Since the lateral faces are rectangles and not 12-sided polygons like the bases, the polyhedron is an irregular polyhedron.

Applying the above, we can draw an irregular 14-sided polyhedron which has two congruent bases as shown in the attached file.

Read more about Polyhedron at; https://brainly.com/question/16389365

#SPJ1

Answer: C. 0.9

I used a caculator.

Step-by-step explanation:

Do you mean width equal 5

Answer:

16/725

Step-by-step explanation:

Given that x = 8, y = 2, and z = 3, the inequality x + y > z + y is true.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To check if the inequality x + y > z + y is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the inequality and evaluate.

x + y > z + y

8 + 2 > 3 + 2

10 > 5

Since 10 is greater than 5, the given values satisfies the inequality, then the statement is true.

Learn more about inequalities here: https://brainly.com/question/24372553

#SPJ4

The perimeter of this region is 4.

playing a card game, set of cards that are numbered or outlined (or both) and are utilized for messing around, for schooling, for divination, and for conjuring. Generally, Western playing a card game are made of rectangular layers of paper or slight cardboard stuck together to frame a level, semirigid material. Some have proposed that the playing a card game previously worked as "play cash" and addressed the stakes utilized for other betting games, and later turned out to be essential for the actual games. Others have proposed associations between playing a card game and chess or dice games, yet this is again theoretical. Different games, for example, a 25-card variation of Euchre which involves the Joker as the most elevated trump, make it one of the main in the game. Frequently, the Joker is a special case, and subsequently permitted to address other existing cards.

To learn more about perimeter, visit:

https://brainly.com/question/12546443

#SPJ4

Natalie read 4.5 hours each week

In this question,

Natalie reads for 6/8 hour on 6 days each week.

We need to find how many hours Natalie read each week.

Based on the given conditions, formulate: 6/8 × 6

Write as a single fraction:

= (6 × 6)/8

= (3 × 3)/2             .................(Cross out the common factor)

= 9/2

= 4.5 hours

Therefore, Natalie read 4.5 hours each week

Learn more about the fractions here:

https://brainly.com/question/8969674

#SPJ4

Surveys, Experiments, and Observational studies are some common methods of data collection in statistical studies that involve people.

A survey is a means to gather information about a group of individuals by asking some of them to respond to questions. A survey may require participants to fill out forms, respond to online questionnaires, take part in in-person interviews, or respond to questions over the phone.

In an experiment, as opposed to an observational study, different treatments are purposefully applied to several groups, and the groups are then compared to see whether there are any differences in a certain variable of interest termed a response. Researchers can determine whether various treatments have distinct effects by using a well-designed experiment.

In an observational study, a researcher utilizes data from observations to learn about a group of people. Aside from assessing their replies, the people being watched are particularly not hampered.

To know more about statistical studies, refer to this link :

https://brainly.com/question/12748848?referrer=searchResults

#SPJ4

Answer:

25/3

Step-by-step explanation:

Answer: Brainliest? It's a lot of questions

Step-by-step explanation:

7) 20*50 = 1000

8) 10^2 = 100

20*6=120

120>100

Yes, she will finish the reading in time because she will read 20 pages more than needed.

9) 10 x 20 x 30 x 40 = (1 x 10) x (2 x 10) x (3 x 10) x (4 x 10)

=(1 x 2 x 3 x 4) x (10 x 10 x 10 x 10)= 24 x 10000 = 240000

10) Called different things different places do yourself

11) (10^3 x 12) + (10^2 x 35)

=(1000 x 12) + (100 x 35)

=12000+3500

=15500

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the sum of all angles around a single point on one side of a line is also always 180° (because that line is like a diameter of any circle with that point as center, and half a circle is 180°).

3)

the third inner angle of the triangle is

180 = 63 + 51 + angle = 114 + angle

angle = 66°.

x = 180 - 66 = 114°

4)

the third inner angle of the triangle is

180 = 86 + 45 + angle = 131 + angle

angle = 49°

x + 30 = 180 - 49 = 131°

x = 101

Answer:

One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

Step-by-step explanation:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

A fraction that is equals to 5 is given by: 10/2.

A fraction is modeled as follows:

a/b.

In which:

The equivalent of a fraction is a division operation, that is, the example fraction is equivalent to the division of a by b.

Hence, a fraction that is equivalent to 5 is a division of two numbers that result in 5, for example 10 and 2, hence:

A fraction that is equals to 5 is given by: 10/2.

More can be learned about fractions at https://brainly.com/question/17220365

#SPJ1

Answer:

279, Remainder 0

Step-by-step explanation(Using long division):

[tex]72 - 52(26 \times 2) = 20\\20(5) - 182(26 \times 7) = 23\\23(4) - 234(26 \times 9) = 0(Remainder)\\= 279\\= R=0[/tex]