Mathematics High School

3x+2y=46 x+y=17 how u solve

Answers

Answer 1

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

−y = 46 − 51

x = 17 − y

Subtract 51 from 46.

−y = −5

x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

x = 17 − y

Multiply (−y) ⋅ −1.

y = (−5) ⋅ −1

x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

Related Questions

Help pls ill mark brainliest

Answers

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

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Add (-12x+6)+(4x-12)

Answers

Answer:

-8x - 6

Step-by-step explanation:

Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have

(-12x+6)+(4x-12) = -8x - 6

Answer:
-8x - 6

Explanation:
-12x + 4x = -8x
6 - 12 = -6

6x^3 -x^2-10x-3 by 2x-3

Answers

Answer:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.

Please help!!!

Answers

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).

Answers

Answer:

Step-by-step explanation:

It's a simple question as we know:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

Now, your line is in slope intercept form you can compare it with

y=mx+c

m=12 and c=16. You can also put your point to verify your answer.

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5

Answers

Answer:

7 / 15= 0.47

Step-by-step explanation:

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Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

Answers

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

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A circle has a radius of 6 meters. What is the circumference of the circle?

Answers

Answer:

The answer is option A

A) Circumference= 12[tex]\pi[/tex] m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r

if the radius is 6 meters, C is

C = 2*6 [tex]\pi[/tex]r

C= 12[tex]\pi[/tex] m

the answer is a) 12 .......

Which is an irrational number

Answers

Answer:

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?

Answers

Drink b it’s 15% and it’s also a in a container

What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F

Answers

Answer:

A. 35°C.

Step-by-step explanation:

35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.

So, you answer is 35°c.

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Answers

red- 2
green- 3
yellow - 1
blue- 4

What is the slope of a line perpendicular to the line whose equation is x−2y=12.

Answers

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

Convert 30% into a fraction and shade the circle according to the result.

Answers

Answer:

3/10 shade 3 in

Step-by-step explanation:

What is 2 times 2? It would be really helpful.

Answers

Answer:

2*2=4

Step-by-step explanation:

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Answers

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer the following. a) Find h b) Find x

Answers

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

5 = h

8 24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

5x + 1 5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

Help. I need help with these questions ( see image).
Please show workings.

Answers

9514 1404 393

Answer:

4) 6x

5) 2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

lim[h→0](f(x+h)-f(x))/h = 2ax +b

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Please help!!
How do I rewrite this expression into radical form??

Answers

i think this should be right

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Answers

Answer:

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 = 69.97

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

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Find the area of each geometric figure or product of the polynomial.

(5n + 3)

A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9

Answers

it’s c
Because you do 5n+3 times 5n+3 and you get 25n^2+9

Very confused. Will give 40pts.

Answers

Answer:

Y = 10.25 or 10.247

Step-by-step explanation:

Alright So use the Formula A^2 + B^2 = C^2

You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.

Next, you need to find 16^2 = 256.

Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105

Finally, you take 105 and find its square root.

And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)

Hope this helps!

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Answers

9514 1404 393

Answer:

x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

FB^2 = BC^2 +CF^2

FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

FA^2 = 3x^2

FA = x√3 = 30 . . . . take the square root and substitute for FA

x = 30/√3

x = 10√3

I need help and for the other select it’s are or are not

Answers

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

Simplify the following and express the result in positive exponential form

( 3/11)-2 x ( 3/11)-5

Answers

Answer:

Step-by-step explanation:

Solution:

Your problem → (3/11)-2 x (3/11)-5

(3/11)-2x(3/11)-5

=(3/11)-2x × (3/11)-5

=(3/11)-(6x/11)-5

=(3-6x-5×11)/11

=3-6x-55/11

=(-52-6x)/11

Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating

Answers

Answer:

4 1/8 ounces

Step-by-step explanation:

Total bag of chocolate chips Mary has = 16 1/2 ounces

She will only use 1/4 of the bag for decorating a cake.

How many ounces will she use for decorating

Ounces used in decoration = 1/4 of 16 1/2

= 1/4 × 33/2

= (1*33)/(4*2)

= 33/8

= 4 1/8 ounces of chocolate chips

She will use 4 1/8 ounces of chocolate chips for decorating a cake

Help please! I’m bad at math

Answers

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40

Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded

Answers

did you get ittttt???

please help me out

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?

Answers

Answer:

a. 311 hours

b. i. $3,100 in receipts

ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

= 311 hours

b. In 311 hours, the total receipts would be:

= 311 * 10

= $3,110

The expenses would be:

= 311 * 9

= $2,799

Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3

Answers

Answer: X=3 X=4 I don’t know if this is multiple choice but those two are correct

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