5w = 23 - 3f and 4f = 12 - 2w

Answers

Answer 1

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

Answer 2

Answer:

Step-by-step explanation:

5w = 23 - 3f And 4f = 12 - 2w

Related Questions

Write each decimal as a fraction or mixed number in simplest form -0.4

Answers

Answer:

-2/5

Step-by-step explanation:

Simplify the following equation

4−8÷2+3 ​

Answers

This is NOT an equation because it has no =
The correct order to evaluate it is:
4 - (8 / 2) + 3 = (4 - 4) + 3 = 0 + 3 = 3

Hi there!  

»»————- ★ ————-««

I believe your answer is:

3

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

raise s to the 7th power, then find the sum of the result and 3

Answers

Answer:

s^7 + 3

Step-by-step explanation:

Brainliest, please!

The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?​

Answers

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side

Answers

Answer:

7

Step-by-step explanation:

Let the each leg be x so,

√(x²+x²)=√98

or, √(2x²)=√98

or, x√2=7√2

or, x=7

Please help for brainliest!!​

Answers

Answer:

108

Step-by-step explanation:

3(6*3*2)

Answer:

L x W x H is the formula to solving this problem.

It looks like 6 is the length, 3 is the width and 2 is the height!

6 x 3 x 2 = 36

BUT WAIT!

It seems like the 2 is on one of the tissues, if it isn't 36, the other answer is definitely something else...

2 + 2 + 2 = 6

6 x 3 x 6 = 108!

_ _ _ _ _

The answers could either be 36 or 108!

PLZ HELP! I WILL PUT BRAINLIEST!
Find the three digit numbers which have the the following properties: all three digits are different, the first digit is the square of the second digit and the third digit is one more than twice the second digit.

Answers

Answer:

Step-by-step explanation:

1^2 = 1       This one is impossible. The digits have to be different.

2^2 = 4

3^2 = 9

so the first two digits can either be

4 and 2

9 and 3

The third clue is the one that decides. The third digit is odd and and 1 more than twice the second

The third digit can be 2 * 2 + 1 = 5 or 2*3 + 1 = 7. There is no way to choose between them.

So the answer is either 425 or 937. We cannot decide which. If there is another clue that will break the log jam, post it and I'll come back.

These are the only two answers possible. If the second digit is more than 3 then the first digit is no longer a single digit. It is more than 9.

The telephone numbers in a small town have two digits. They run from 00 to 99.

Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.

What is the maximum number of telephone numbers this town could have?

Answers

Answer:

[tex]55[/tex]

Step-by-step explanation:

We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].

Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:

[tex]B\geq A[/tex]

This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.

Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:

[tex]0B,\\01, 02, 03,...[/tex]

Therefore, there are 10 possible telephone numbers when the tens digit is 0.

Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.

This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].

The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.

Since there are 10 cases (0-9), add up the possible telephone numbers for each case:

[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]

Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:

[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]

g(x) = x3 + 2x2 - x - 2 to answer all the questions in Part II. 1. Use synthetic division to show that x = -2 is a zero of the polynomial.

Answers

Answer:[tex]x^{2} -1[/tex]

Step-by-step explanation:

Given :[tex]g(x)=x^{3} +2x^{2} -x-2[/tex]

Factor x+2,x=-2

Using synthesis division:

-2 )  1 2   -1  -2

        -2    0   2

      1  0   -1   0

[tex]x^{2} +0x-1[/tex]

Yes,  x = -2 is a zero of the polynomial.

Given that,

The function g(x) = x³ + 2x² - x - 2 is divided by (x + 2)

Now apply the synthetic division to show that x = -2 is a zero of the polynomial.

When we divide by using synthetic division as shown in the attached image.

Remainder = 0

Hence, this shows that x = -2 is a zero of the polynomial.

Therefore, x = -2 is a zero of the polynomial.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ4

What is the explicit formula for this sequence?
-9, - 3, 3, 9, 15, ...

Answers

Answer:

-15+6d

Step-by-step explanation:

The common difference of the sequence is -3+9=6

The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d

If 150° and 3a are supplementary angles, find the value of a. ​

Answers

Answer:

a = 10

Step-by-step explanation:

Supplementary angles sum to 180° , so

150 + 3a = 180 ( subtract 150 from both sides )

3a = 30 ( divide both sides by 3 )

a = 10

If the nth term of A.P. are 7, 12, 17, 22.....is equal to the nth term of another A.P. 27, 30, 33, 36. Find the value of n?​

Answers

Answer:

[tex]n = 11[/tex]

Step-by-step explanation:

We are given two arithmetic sequences:

7, 12, 17, 22... and 27, 30, 33, 36...

And we want to determine n such that the nth term of each sequence is equivalent.

We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

The first sequence has an initial term of 7 and a common difference of 5. Hence:

[tex]\displaystyle x_n = 7 + 5(n-1)[/tex]

The second sequence has an initial term of 27 and a common difference of 3. Hence:

[tex]x_n = 27 + 3(n-1)[/tex]

Set the two equations equal to each other:

[tex]7 + 5 (n-1) = 27 + 3(n-1)[/tex]

Solve for n. Distribute:

[tex]7 + (5n - 5) = 27 + (3n - 3)[/tex]

Combine like terms:

[tex]5n + 2 = 3n + 24[/tex]

Isolate:

[tex]2n = 22[/tex]

Divide. Hence:

[tex]n = 11[/tex]

In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.

Help pls this is really hard

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

√2 ≈ 1.414 ≈ 1.4 +0.1(1/7)

The dot will be about 1/7 of the way between 1.4 and 1.5.

Choose the inequality that represents the following graph.

Answers

Answer:

it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d

At age ​20, to save for​ retirement, Rebecca decides to deposit 80​$ at the end of each month in an IRA that pays 6.2% compounded monthly. Use the formula for the value of an annuity.

A=P[(1+r/n)^nt-1]/(r/n)

How much money will be in the IRA when Rebecca​ retires?

How much interest will the IRA have​ gained?

Answers

Answer:

159319.26 I Don't know the interest

Which is the graph of y = [x]-2?

PLEASE HELP TIMED PLEASE 20points

Answers

Answer:

3rd graph

Step-by-step explanation:

Answer:

it depends on the equation thats given

Step-by-step explanation:

you put the value of x in the brackets and then solve it so that u get the coordinates of y, then u can put the point on whichever values u get for x and y and continue like that until you get all the points (you can join them if the question asks)

Pls help. I really suck at math.

Determine whether the following polygons are similar.

Answers

Answer:

They are not similar.

To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.

Those triangles possess right angles as you can see the little square thingie in the corners.

Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.

There are 180 degrees in a triangle, so 180 - 120 = 60.

Therefore, the unknown angle is 60.

A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.

The other triangle has a 55 degree angle which is not on the first, so they must not be similar.

Pls brainly dont delete this link, its useful.

https://blog.prepscholar.com/30-60-90-triangle-ratio-formula

This helps you understand the special triangles.

You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.

Step-by-step explanation:

choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2

Answers

Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
-4 = 1/2(1) + b
b = 9/2
Therefore, the equation of the line is:
y = 1/2x + 9/2

Choose the model that correctly illustrates the division problem 2 3 ÷ 3 4 3 2 ​ ÷ 4 3 ​ .

Answers

23÷34÷32÷43

= 0.0001558519

Must click thanks and mark brainliest

Need help with 1 and 2

Answers

Answer:

1a. 128

1b. 81

1c. 64

1d. 25

1e. 343

1f. 100000

1g. 64

1h. 0

1i. 13

1j. 1

2a. 243

2b. 64

2c. 36

2d. 625

2e. 1331

2f. 10000000

2g. 81

2h. 0

2i. 17

2j. 1

Which situation is best represented using a negative integer?

Answers

The answer is A (a mountain climber descending a mountain. This sis the answer because it is the only option with a decrease. When something decreases, a negative value (a number) represents the amount it decreased

Answer:

a

Step-by-step explanation:

Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?

Answers

Answer:

12 miles

Step-by-step explanation:

From the graph given :

Mike's travel :

School to Mall= 16 miles

Mall to Library = 30 miles

Total travel = 16 + 30 = 46 miles

Henry's travel :

From school to Library = Hypotenus :

Distance can be obtained using Pythagoras :

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √(30² + 16²)

Hypotenus = √1156

Hypotenus = 34 miles

Difference in Distance covered :

(46 miles - 34 miles) = 12 miles

1)a)write any three rational numbers .

Answer : 3/4,-2/6,1/2 is are called rational
number.

b)Explain rational numbers in your own words .

Answer: A number which can be written in the form p/q , where p and q are integers and q = 0 is called a rational number ​

Answers

Step-by-step explanation:

1)1/2,1/5 and 0

2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer

Find the missing side of the triangle.
A. √226 ft
B. √17 ft
C. √329 ft
D. √346 ft

Answers

15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

Find the volume of a rectangular solid that
is 9 ft. by 12 ft. by 8 ft.


Help please

Answers

Answer:

864 ft³ is the volume

Step-by-step explanation:

Volume = width · height · length

= 12 · 9 · 8

= 864

Answer:

Step-by-step explanation:

Volume of rectangular solid = length * width * height

                                              = 9 * 12 * 8

                                              = 864 ft³

In the figure below, triangle ABC is similar to triangle PQR:

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.

What is the length of side PQ?

48
24
40
18

Answers

Answer:

24

Step-by-step explanation:

Since the triangles are similar the side lengths must be proportional

2/12 = 4/PQ cross multiply expressions

2PQ = 48 divide both sides by 2

PQ = 24

The cost of hat, pants, and sweater is $225. The pant cost $10 more than hat, and the sweater cost $10 more than the pants. What is the cost of the hat ?

Answers

Answer:

$65

Step-by-step explanation:

Let x represent the cost of the hat.

Since the pants cost $10 more than the hat, the cost can be represented by x + 10.

Since the sweater cost $10 more than the pants, the cost can be represented by x + 20.

Create an equation adding these all together and setting it equal to 225, then solve for x:

(x) + (x + 10) + (x + 20) = 225

3x + 30 = 225

3x = 195

x = 65

So, the hat cost $65

2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280

Answers

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.

Answers

B

Step-by-step explanation:

Might be wrong

Simplify 7 to the 6th power ⋅ 7 to the fifth power.

49 to the 11th power
49 to the 35th power
7 to the 11th power
7 to the 35th power

Answers

Answer:

7 to the 11th power

Step-by-step explanation:

7⁶×7⁵=7¹¹

because a¹×a¹=a¹+¹

7to the 11th power!!!!!
Other Questions
The width of Estelle's rectangular living room is 4 meters, and the distance between opposite corners is 7 meters. What is the length of Estelle's living room? If necessary, round to the nearest tenth. Explain "Being young is Overrated" with an example. I will give you 20 points Write down the missing number number 86 493 -...... =8420 What ideologies were at the heart of the anti-American wave that swept Latin American in the revolutionary period?Help ASAP please PLEASE HELP MEEEEEEEEEEEEE!!!! Help me1he motions of the arms, legs, head, or body to communicate thoughts or feelings are calledgesture/involuntary/or distracters2The word changeable is spelled correctly.TrueFalse3.Effective listening includes courteous listening and note taking.TrueFalse4.A person might beckon to tell another to go away.TrueFalse5.Shrugging the shoulders is a gesture universally showing indifference or puzzlement.TrueFalse6.The word riotous is spelled correctly.TrueFalse7.Gestures are always used instead of words.TrueFalse8.A summary should be about__ the length of the original document.two-thirdone-thirdthree-thirds help a girl out bc im strugglinggg also, these are two different questions, you can answer both or one of them thank you so much in advance Which of the following is an example of a scientific theory?Matter can be neither created nor destroyed.Force equals mass times acceleration.Matter behaves the way it does because it is made of atoms.There is probably life on Mars.C. Matter behaves the way it does because it is made of atoms. The earliest atmosphere on earth was composed ofA. Oxygen, carbon dioxide and nitrogenB. Carbon dioxide steam nitrogen nothing and ammoniaC. Hydrogen and helium Please help me on this question. Change the following fractions to 24ths.3/4= ??5/6= ?? How is a barrel vault constructed?AndWhy were buildings constructed with barrel vaults dark andgloomy inside? Unscramble the following words and spell them correctly (all of these words come from this lesson):opalesbalaoteficanpurnocnipaejoalrtaesleovuh The quality of food prepared for students in your school has become very poor. Write a letter to the principal complaining about this and explaining ways in which this situation can be remedied. 12. A concave lens has a focal length of 10 cm. An object 2.5 cm high is placed 30 cm from the lens. Determine the position and size of the image. (3) Under our Constitution, some powers belong to the federal government. Which are powers of the federalgovernment? Check all that apply.to print moneyto declare war to create an armyto establish schoolsto make treaties Three jackets cost as much as five shirts. Each jacket costs $16 morethan each shiri. What is the cost of one shirt? Alexis received an email message from an unknown sender that included an attachment. If she opens the attachment, what kind of malicious software might be activated, and what are the consequences?Opening the attachment would release a worm, which would infect her system with a virus.Opening the attachment would release a worm, which would infect her system with spyware.Opening the attachment would release an active worm, which would infect her system with adware.Opening the attachment would release a passive worm, which would infect her system with adware. challenges of teaching mathematics in 21st century Evaluate (3.4 x 10^4)(4.5 x 10^3). Write your answer in scientific notation. HELPPP