What is something you do that can be set up as a two step equation? How would you set that up as an equation to explain to someone else how it can be solved?

Answers

Answer 1

As the name implies, a two-step equation is an equation that is solved in just two steps. There are several two-step equations; an example that can be set up as a two-step equation is a target savings with an initial amount and a constant rate of savings.

To set up the target savings equation, we consider the following parameters (I will assume values for the parameters).

[tex]Amount = \$1000[/tex]

[tex]Initial\ Capital = \$50[/tex]

[tex]Rate = \$2[/tex]

Let x be the number of savings.

[tex]Initial\ Capital + Rate \times x= Amount[/tex] ----- the equation

Mathematically, we have:

[tex]50 + 2x = 1000[/tex]

The equation is solved as follows:

The first step is to isolate the variable term by subtracting 50 from both sides

So, we have:

[tex]2x = 950[/tex]

The second step is to solve for x by dividing both sides of the equation by 2

[tex]x = 475[/tex]

This means that you have to save $2 in 475 times to reach the target amount

Read more about two-step equations at:

https://brainly.com/question/17180192


Related Questions

There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that
the first horse selected is tan and the second horse selected is brown?
20/81

5/18

2/9

1/20

Answers

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

find the missing length indicated.​

Answers

Answer:

The answer is 192 bestie btw im a freshmen

Step-by-step explanation:

an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm.
help plz plz .......

Answers

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where,

[tex]s=\dfrac{a+b+c}{2}[/tex]

Each pieces measuring 48cm,48cm, and 30cm. So,

[tex]s=\dfrac{48+48+30}{2}[/tex]

[tex]s=\dfrac{126}{2}[/tex]

[tex]s=63[/tex]

Area of one triangular piece is:

[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]

[tex]A=\sqrt{63(15)(15)(33)}[/tex]

[tex]A=\sqrt{467775}\text{ cm}^2[/tex]

[tex]A\approx 683.9408\text{ cm}^2[/tex]

Area of 10  triangular pieces is:

[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]

The rate is 5 paisa per square cm. So, the total cost is:

[tex]6839.408\times 5=34197.04[/tex]

Therefore, the total cost is 34197.04 paisa.

A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.

Answers

Step-by-step explanation:

The are of rectangle is 1300.5cm2

WILL AWARD BRANLIEST !!!Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2.


The lengths of the sides of triangle JKL are given.


Enter the lengths of the sides of triangle J'K'L' below.

(Decimal values may be used.)


JK=6 units


J'K'= _units

KL=10.5 units


K'L'= _units

LJ=12 units


L'J'= _ units

Answers

The lengths of the new triangle after dilation are; J'K' = 3; K'L' = 5.25 and L'J' = 6

How to carry out dilation of triangles?

When it comes to dilation in transformations, it could mean enlarging or reducing the triangle by a scale factor.

Now, we are given the lengths of the original triangle as;

JK = 6 units

KL = 10.5 units

LJ = 12 units

Thus, the dilation by a scale factor of 1/2 indicates a reduction. Thus, the new lengths after dilation are;

J'K' = (1/2) * 6 = 3

K'L' = (1/2) * 10.5 = 5.25

L'J' = (1/2) * 12 = 6

Read more about Triangle Dilation at; https://brainly.com/question/3457976

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Identify the range of the function shown in the graph.​

Answers

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.

Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).

Answers

Answer:

Ax + By = C is standard form.

y + 1 = (2/3)(x - 8)

distribute the (2/3)

y + 1 = (2/3)x - (16/3)

Multiply each term by 3 to clear the fractions.

3y + 3 = 2x - 16

Subtract 2x from both sides.

-2x + 3y + 3 = - 16

Subtract 3 from both sides.

-2x + 3y = - 19

Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.

2x - 3y = 19

Step-by-step explanation:

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

got it right on edge

Second time posting this. Please help!! :)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Grade improvement and study motivation

Answers

Answer:

yes you are write because when our results come with good marks and grade the we are motivate .

Step-by-step explanation:

thanks mark me brainlist

Make a documentary on the “Journey of Coronavirus” OR Conservation of Plants and Animals. Give an appropriate name for your documentary.

PLSS REPLY FAST

Answers

Answer:

Explanation is as follows;

Step-by-step explanation:

Fundamentals to Plant and Animal Preservation

Plants and animals are the foundation of life on Earth; it is critical to protect them from extinction by maintaining a healthy population that contributes to global biodiversity, or the variety of flora and wildlife.

Everyone in the area must actively participate in planting additional trees and preventing countless trees from being chopped down. Deforestation is the practise of chopping down trees and making a forestland barren and unsuitable for animals and birds to live in.

Please help me I honestly have zero clue how to answer this question

Answers

Step-by-step explanation:

[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]

Square both sides of the equation.

[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]

[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]

all perfect numbers from 20 to 30

Answers

Answer:

There is only one perfect number between 20 to 30 which is 28.

Explanation:

The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.

Three events A, B and C are defined over a sample space, S. Events A and B are independent. Events A and C are mutually exclusive. Given that P(A)= 0.04, P(B)=0.25, P(C)=0.20 and P(B/C)=0.15. Find for P(C/B)

Answers

Answer:

[(b/c)=0.15)]

Step-by-step explanation:

Answer:  0.12

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

Work Shown:

P(B/C) = P(B and C)/P(C) ... conditional probability formula

P(B and C) = P(C)*P(B/C)

P(B and C) = 0.20*0.15

P(B and C) = 0.03

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

P(C/B) = P(C and B)/P(B) .... note the swap of B and C

P(C/B) = P(B and C)/P(B)

P(C/B) = (0.03)/(0.25)

P(C/B) = 0.12

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

Extra notes:

The fact that events A and B are independent is not relevant.The fact A and C are mutually exclusive isn't used here either.This problem can be solved through Bayes' Theorem.Another alternative you can do is to set up a 3 by 3 contingency table to help solve this problem.

If you roll a standard number cube 42 times, how many times do you expect the cube to show a five?
Round your answer to the nearest whole number if needed.

Answers

Answer:

5

Step-by-step explanation:

this is probability

probability of 5 occuring once is = 5/42=0.119

therefore, probability of 5 occuring in 42 times is;

42 x 0.119=4.998

approximately 5

A ball is thrown into the air with an upward velocity of 36 ft/s. It’s height h in feet after t seconds is given by the function h = -16t^2 + 36t + 9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height ?

Answers

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

S is the centroid of the triangle. Find IT if ST= 9

Answers

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

Solve the proportion.
14
y +9
-
10
15
y = [?]

Answers

Answer:

y=12

Step-by-step explanation:

14          10

----- =  --------

y+9         15

Using cross products

14*15 = 10 (y+9)

210 = 10(y+9)

Divide by 10

210/10 = 10(y+9)/10

21 = y+9

Subtract 9

21-9 = y

12 =y

PLEASEEEE HELP, how do i draw this ?

Answers

Answer:

              /   -  -  - - - - - - -- - -  -

            /                                     \

        /                                           \

      /                                                \  _________

   /

_/

A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascends 112.2 feet. What is her current depth?
Negative 549.3 feet
Negative 59.3 feet
59.3 feet
549.3 feet

Answers

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation:

To make a disinfecting solution, Alana mixes 2 cups of bleach with 5 cups of
water. What is the ratio of water to the total amount of disinfecting solution?

Answers

Answer:

Step-by-step explanation:

Ok

2cm + 5cm + 6.4cm cuboid

Answers

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?

Answers

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

What is combination?

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

Learn more about combination here:

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please help i will give brainliest (check both images)

Answers

Answer:

Amanda's box holds more popcorn.

Amanda's box holds 70 m³ more than Mary's.

Step-by-step explanation:

Find the volume of both boxes.

13.5 x 10 x 10 = 1350.

20 x 8 x 8 = 1280.

As clearly shown, Amanda's box holds more popcorn.

To find how much more, subtract 1,280 from 1,350 to get 70 m³.

Hope this helps!

If there is something wrong, please let me know.

Someone please help me!! I don’t know the answer!!

Answers

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

The answer would be R= 5

dididjdjdjdhjdjdh < so that i could answer

1 by 8 of the passenger of a train where children is there where 40 children traveling in the train on a Saturday how many Abbott were there in that that day?

Answers

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 grams? Round to the nearest tenth of a day.

Answers

Answer: [tex]26.4\ \text{days}[/tex]

Step-by-step explanation:

Given

Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]

Initial amount [tex]A_o=2\ \text{days}[/tex]

Amount left at any time is given by

[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]

It takes 26.4 days to reach 2 gm.

Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?

a.distance = speed + 90
b.distance = speed × 90
c.distance − speed = 90
d.distance × 90 = speed

Answers

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

A lottery has a grand prize of 25and 1/2 million dollars. There are 5 people who have winning tickets and they share this prize equally. How many millions of dollars does each person get? Express the answer as a mixed number.

Answers

Answer:

5 1/10 million dollars

Step-by-step explanation:

25and 1/2 million dollars = 25 1/2 million dollars

= (25*2) + 1 / 2

= 50+1/2

= 51/2

Total prize = 51/2 million dollars

Number of people with winning ticket = 5

How many millions of dollars does each person get?

Amount of prize each person get = Total prize / Number of people with winning ticket

= 51 / 2 ÷ 5

= 51/2 × 1/5

= (51 * 1) / (2 * 5)

= 51/10

= 5 1/10 million dollars

Amount of prize each person get = 5 1/10 million dollars

Find AC, given that line AD is the perpendicular bisector of BC

Answers

Answer:

wouldn’t it just be 21? because both are the same but mirrored

Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?

Answers

Answer:

$100

Step-by-step explanation:

The amount Lucia gave Brenda = Half the amount in the store counter

The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings

The amount Brenda had saved = Half of the amount Lucia earned in the store that day

The number of food and treat packets Brenda bought = 5

The cost of each packet = $15

Let x represent the amount Lucia earned and let y represent the amount Brenda saved

We have;

x/2 = y

x/2 + y/2 = 15 × 5 = 75

Therefore, we get;

y + y/2 = 75

(3/2)·y = 75

y = 75 × 2/3 = 50

y = 50

From x/2 = y, we have;

x/2 = 50

x = 2 × 50 = 100

The amount Lucia earned in her store that day, x = $100

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