The sum of two numbers is 81 the difference of the same two numbers is 33 write a system of equations to represent this situation then find the numbers

Answers

Answer 1

Answer:

48

Step-by-step explanation:


Related Questions

For f (x) = 3x + 1 and g(x) = x^2 -6, find (f-g) (x)

Answers

Answer:

D

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), so

f(x) - g(x)

= 3x + 1 - (x² - 6) ← distribute by - 1

= 3x + 1 - x² + 6 ← collect like terms

= - x² + 3x + 7 → D

Writing Assignment: Your friend in another school has just sent you a
screenshot of a math problem and needs your help. IN WORDS, you must
describe how to solve the problem and you must include your solution.
Remember to use COMPLETE sentences. Include math vocabulary (coefficent,
variable, functions, etc) in your verbal description. Here is the problem:
Evaluate if x = 4.
f(x) = = - 3x + 8

Answers

Given that,

f(x) = -3x + 8

To find,

The value of f(x) at x = 4.

Solution,

We have,

f(x) = -3x + 8

We need to find the value of f(x) at x = 4

Pu x = 4 in f(x).

f(4) = -3(4) + 8

= -12 +8

= -4

So, f(4) is equal to -4.

in the diagram below, the expression in each circle is the result of the sun of the two rectangles connected to it. complete the diagram, writing the expressions in their simplified form

Answers

Answer:

this is the answer for the empty circle and rectangle

help it is impossible

Answers

Answer:

6,0

Step-by-step explanation:

Isolate x to get x=3/2y+6

6 is the x intercept.

In (x,y) form it is (6,0)

A piece of machinery depreciates $6000 the first year,
$5700 the second year, and $5400 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?

Answers

Answer:

$4500

Step-by-step explanation:

it decreases $300 per yeae

Based on the rate of depreciation each year, the amount of depreciation of the machinery in the sixth year will be $300.

What is the annual depreciation amount?

The depreciation in the second year is:

= 6,000 - 5,700

= $300

The depreciation in the third year is:

= 5,700 - 5,400

= $300

If this amount remains constant till the sixth year therefore, then it means that the sixth year depreciation amount is also $300.

Find out more on annual depreciation at https://brainly.com/question/1287985.

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Hi I rly need some help plz answer;)

Answers

Answer:

Step-by-step explanation:

1.8kg into grams

1.8kg = 1800 grams

Total toys = 6

Weight of one toy = 1800 ÷ 6 = 300 grams

Weight of 4 toys = 300 x 4 = 1200 grams = 1.2kg

Answer:

Step-by-step explanation:

a) 1 Kg =  1000 grams

1.8 Kg = 1.8 * 1000 = 1800.0 = 1800 grams

b) Weight of one toy = Weight of all the 6 toys ÷ 6

                                 = 1800 ÷ 6

                                = 300 grams

c)  Weight of 4 toys = 4 * 300

                               = 1200 grams

                              = 1200 ÷ 1000

                              = 1.2 Kg

Could someone pls help me If you know it pls ASAP thank you 

Answers

Answer: 6 hours

Step-by-step explanation:

25% of 30 = 7.5

5% of 30 = 1.5

7.5 - 1.5 = 6

Tremaine used 6 hours more to play games than to do research.

Answer:

games - 7.5 hours

research - 1.5 hours

7.5-1.5 = 6

He played games 6 hours more than doing research

Step-by-step explanation:

30:100=0.3

1% - 0.3

0.3x5=1.5

0.3x25=7.5

Harry purchased a table with Rs. 7000 and sold it at an amount of Rs. 7900. Find his gain percent.​

Answers

Answer:

12%

Step-by-step explanation:

Answer:

12.89%

Step-by-step explanation:

[tex] \frac{900}{7000} \times 100 = 12.85714286[/tex]

A triangle in which all of the angles are smaller than 90° is called an ____ ____.

Answers

Answer:

acute triangle

Step-by-step explanation:

Two linear functions are shown. Which function has the greater initial value

Answers

function b ..............

Identify the like terms in the expression.

10x+5+3x-1+x2

Answers

Answer:

x2 +13x+4

Step-by-step explanation:

1+2+3= 4 quick maths

Please help
when two triangles have two pairs of congruent sides, how are the third pair of sides and the pair of angles opposite the third pair of sides related

Answers

Answer:

b77fe jegd isf edre h7rwyr e7e7eoetr 38 eyg dbuyr e HFUGRG duetyr fgisyvbfvdyirrrg7h

Step-by-step explanation:

Barbara's gross earnings for the week ending on December 21 amount to \$1,100 . Her cumulative gross earnings for the year up through her tast pay date amount to 55,000. Using the table below, calculate the FICA tax deduction for the current pay period . FICA Tax ( 1496 10%

Answers

Answer:

b) $44

Step-by-step explanation:

Barbara's cumulative gross earnings for the year up through her last pay date amount to 55000.

As per attached table this amount falls in 4% region ($50001 - $70000).

Her tax per current pay period is:

$1100*0.04 = $44

Correct choice is b)

1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.
Let b represent the hours she babysits and a represent the hours she gardens.
a. Create an inequality to represent the number of hours she should babysit or garden to make at least
$80.

b.How much would she have to garden if she did not babysit at all?

C.How much would she have to babysit if she did not garden at all

Answers

Answer:

Step-by-step explanation:

Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80

“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit

Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2

:c part = 20+20+20+20. Key:20=2

Sorry I didn’t do a but just add all the things above and u get your answer

Please help. I need to refresh my mind of this problem and a few more if you don't mind

Answers

Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

Find the Area of a rectangle whose width is 16 inches and diagonal is 20 inches?



What are the dimensions of the rectangle? Show your work and explain how you got your answer in complete sentences.

Answers

Pythagorean’s theorem. 16^2+b^2=20^2
b=12
Area is 12x16=192

30 divided

3 diveded

[tex]30 \: diveded[/tex]

Answers

Answer:

30÷3=10

Step-by-step explanation:

thank you for the pints I hope you have a good day :)

Answer:

30 divided by 3 is 10

Step-by-step explanation:

I don't know why you put the extra divided

What is the measure of angle 7?
Explain?

Answers

65 degrees. alternate exterior angles of two parallel lines intersected by a transversal are equal

Answer:

60 or 65 degrees.

Step-by-step explanation:

HELP PLEASE HURRY WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

c . 63

Step-by-step explanation:

on Tuesday at lunch time , it was 29°C .by sunset , the temperature had dropped to 16°C ​

Answers

Answer:

viivuvuhc ol xlbhxhx

Step-by-step explanation:

xxx tube xxx s s s s s yh y uinollnkbk j

Will give Brainlyest PLEASE HELP!!

Answers

Answer:

6.98 feet that the anwers

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is
an hourly wage of $22. Option B is a commission rate of 4% on weekly sales. How much does he
need to sell this week to earn the same amount with the two options?


thank you so much!

Answers

His salary for 40 hours per week with an hourly rate is hours x the rate:

40 hours x $22 per hour = $880 per week.

If he is paid commission, to make the same , he needs to make $880 iin commissions.

The commission rate is 4%, to find how much sales is needed divide the amount he needs to make ( $880) by the rate:

880/ 4% = 880/ 0.04 = $22,000

He needs to sell $22,000

In the fraction 1/2, the number 1 is:?

Answers

Answer:

the numerator

Step-by-step explanation:

It would be the numerator! Hope this helps

a cyclist rode 3.75 miles in 0.3 hours how fast was she going in miles per hour?​

Answers

Answer:

12.5 miles per hour

Step-by-step explanation:

Math

Answer:

12.5 MPH

Step-by-step explanation:

Miles per hour can also be written as miles/hour

therefore 3.75 miles in .3 hours can also be written as 3.75 miles/.3 hours

3.75 / .3 = 12.5

Therefore the cyclist was going 12.5 miles per hour

Which similarity statement is true?

ASRQ - ATRS
ASRQ - ARTQ
ASRQ - ARTS
ASRQ-AQRT

Answers

Answer:

It would be B (The 2nd option)

Step-by-step explanation:

The two triangles that can be considered similar are RTQ and SRQ. These two have one right angle and share angle Q, make them similar by AAA.

Both the 2nd option and the 4th option mention these triangles, but the triangles are not named correctly in the 4th option.

The similarity statement that is true is

ΔSRQ - ΔRTQ

The correct option is B.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

The two triangles that are similar are RTQ and SRQ. According to the AAA (Angle-Angle-Angle) similarity criterion, since they share two congruent angles, ∠RTS and ∠STQ, they must be similar. Therefore, we can write:

ΔRTQ ~ ΔSRQ

This similarity statement means that triangle RTQ is similar to triangle SRQ. So, we can use the corresponding parts of similar triangles to write:

SR / RT = SQ / TQ = RQ / RQ

where SR, RT, SQ, TQ, and RQ are the corresponding side lengths of the two triangles.

Since RQ / RQ = 1, we can simplify the above equation to:

SR / RT = SQ / TQ

This means that the ratios of the corresponding side lengths of the two triangles are equal. We can use this to find the true similarity statement:

ΔSRQ ~ ΔRTQ

So, the correct similarity statement is:

ΔSRQ - ΔRTQ.

To learn more about the congruent;

https://brainly.com/question/12413243

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y = 2x + 1

x - y = -3

Is (2, 5) a solution of the system?

Yes
No

Answers

Answer:

No

Step-by-step explanation:

If you substitute the numbers into either of the two functions when you solve you don't get the right numbers

what's the value of x??​

Answers

Answer:

ABCDEFGHIJKLMNOPQR*X*

Step-by-step explanation:

ikaw ex na

Answer:

x = 30°

Step-by-step explanation:

As we can see it is right angled triangle so

2x + x + 90° = 180° (Sum of angels of triangle )

3x + 90° = 180°

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

A biology test is worth 100 points and has 36 questions.

a. Multiple-choice questions are worth 2 points each and essay questions are worth 6 points each. How many questions of each type are on the test?

b. Your friend says that it is possible for the multiple-choice questions to be worth 4 points each. Is your friend correct? Explain.

Answers

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

[tex]M + E= 36[/tex] --- Number of questions

[tex]2M + 6E = 100[/tex] --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in [tex]M + E= 36[/tex]

[tex]E = 36 - M[/tex]

Substitute 36 - M for E in [tex]2M + 6E = 100[/tex]

[tex]2M + 6(36 - M) = 100[/tex]

[tex]2M + 216 - 6M = 100[/tex]

Collect Like Terms

[tex]2M - 6M = 100 - 216[/tex]

[tex]-4M = - 116[/tex]

Divide both sides by -4

[tex]M = \frac{-116}{-4}[/tex]

[tex]M = 29[/tex]

Substitute 29 for M in [tex]E = 36 - M[/tex]

[tex]E = 36 - 29[/tex]

[tex]E = 7[/tex]

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

[tex]2M + 6E = 100[/tex] would be:

[tex]4M + xE = 100[/tex]

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

[tex]4 * 29 + x * 7 = 100[/tex]

[tex]116 + 7x = 100[/tex]

Subtract 116 from both sides

[tex]116-116 + 7x = 100 -116[/tex]

[tex]7x = 100-116[/tex]

[tex]7x = -16[/tex]

Make x the subject

[tex]x = -\frac{16}{7}[/tex]

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

Your friend is incorrect.

The test contained 29 multiple choice questions and 7 essay questions.

Let x represent the number of multiple questions and y represent the number of essay questions.

Given that there are a total of 36 questions, hence:

x + y = 36    (1)

Also, the test is worth a total of 100 points, hence:

2x + 6y = 100   (2)

Solving equation 1 and 2 simultaneously gives:

x = 29, y = 7

Therefore the test contained 29 multiple choice questions and 7 essay questions.

Find out more at: https://brainly.com/question/16763389

Solve for x: 5x + 13 = 1/3(9x – 6) + 7x

Answers

Step-by-step explanation:

5x + 13 = 1/3(9x – 6) + 7x

5x + 13 = 3x-2+7x

5x-3x= -2-13

2x= -15

x= -7.5

#4.. are the triangles congruent using SSS Congruence Theorem. Explain

Answers

Yes, the triangles in number 3 are congruent using SSS because all of the sides have the congruent markings.
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