4x – y = 7 3y – 12x = –21

Answers

Answer 1

Answer:

y=4x-7   3(4x-7)-21x=-21     12x-21-12x=-21 -21=-21

Step-by-step explanation:

Answer 2
Step: Solve
4
x

y
=
7
for y:
4
x

y
=
7
4
x

y
+

4
x
=
7
+

4
x
(Add -4x to both sides)

y
=

4
x
+
7

y

1
=

4
x
+
7

1
(Divide both sides by -1)
y
=
4
x

7

Step: Substitute
4
x

7
for
y
in

12
x
+
3
y
=

21
:

12
x
+
3
y
=

21

12
x
+
3
(
4
x

7
)
=

21

21
=

21
(Simplify both sides of the equation)

21
+
21
=

21
+
21
(Add 21 to both sides)
0
=
0

Related Questions

Help please!! Help me with this triangle

Answers

Answer:60°

Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.

Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).

Equilateral triangles have equal angles, meaning 60° for each angle.

How many terms are in this expression? d + 8c + 7 ​

Answers

Answer:

2

Step-by-step explanation:

Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.

Robby went on Monday and bought three movies for $15.36. The cost per movie will be:

= $15.36/3

= $5.12

Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:

= $27.40/5

= $5.48

Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:

= $20.08/4

= $5.02

Madison went on Friday and bought six movies for $31.44. The cost per movie will be:

= $31.44/6

= $5.24

We can see that Trey had the best deal.

A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?

Answers

Answer: 9 feet below the surface.

Step-by-step explanation:

The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:

Position = -40ft

Where the negative sign is because it is below the surface of the water, so

"He swam up 12 feet to see a unique fish."

Now we need to add 12ft

Then his new position is:

Position = -40ft + 12 ft = -28ft

"He followed the fish down 8 feet.

Now we need to subtract 8ft

His new position is:

Position = -28ft - 8 ft = -36 ft

"Then he followed the fish up 27 feet."

Now we add another 27 ft.

The final position will be:

Position = -36ft + 27ft = -9ft

Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.

6x times (-2y)

Urgent please send solution

Answers

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.

Answers

Answer:

The basketball game sold 439  adult tickets and  858 student tickets.

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values ​​of the unknowns, with which when replacing, they must give the solution proposed in both equations.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047  was collected on the sale of 1,291 tickets.

With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:

[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]

Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:

y=1291 -x

and you replace in the second equation:

5*x + 1291 - x= 3047

Solving, you get:

5*x-x= 3047 - 1291

4*x= 1756

x= 1756÷4

x=439

Replacing this value in the expresion y=1291 -x you get:

y=1291 -439

y= 858

The basketball game sold 439  adult tickets and  858 student tickets.

the table shows a summary of the number of spots counted on 20 ladybug calculate the mean number of spots per lady bug

Answers

Answer:

bcbdjdsjxbxifjfbdbdbbxbxhxhdhdhbdbdbxbxbxbxbbxnxnxnxx

HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.

Answers

A. Multiply the 2 numbers.

Can somebody help me please

Answers

It will be 110 because a circle is 360, so you subtract 250 from that and you get 110

Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.

Answers

Answer:

%11.76

Step-by-step explanation:

400/3400x100 = 11.76

Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?

Answers

Answer:

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours

He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours

                             Wednesday - [tex]1\frac{1}{4}[/tex] hours

                             Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice =  [tex]4\frac{1}{2}[/tex] hours

⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]

⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]

⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]

⇒x - 1 = [tex]-\frac{1}{4}[/tex]

⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]

⇒x = [tex]\frac{3}{4}[/tex] hour

∴ we get

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.

Answers

Răspuns:

292,50

Explicație pas cu pas:

Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17

Suma principală depusă, P = 250

Suma totală, A după 1 an poate fi calculată astfel:

A = P (1 + rt)

Unde ; r = rata dobânzii; t = timp

A = 250 (1 + (0,17 * 1))

A = 250 (1,17)

A = 292,5

HELP FOLKS PLEASE ( i don't have much time)

Answers

Tan Angle y= 7/4
Tan Angle z= 4/7

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

For which value of m is start fraction 4 over 16 end frction equals start fraction m over 24 end fraction a proportion? A. m = 6 B. m = 8 C. m = 12 D. m = 14

Answers

Answer:

A. M=6

Step-by-step explanation:

Basically, this question is asking you to find m if 4/16 = m/24.

First, 4/16 can be simplified to 1/4. This will make it easier to solve.

You now have 1/4 = m/24.

Multiply both sides by 24 to get 24/4 = m.

Simplify to get m = 6.

Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4

Answers

Answer:

[tex]\displaystyle f'(4) = 63[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]  

Step-by-step explanation:

Step 1: Define

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]:                              [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]:                                                                    [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute:                                                                            [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²):                                                     [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x):                                                      [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms:                                                           [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor:                                                                                 [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify:                                                                               [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate:                                                                                                 [tex]\displaystyle f'(x) = 14x + 7[/tex]

Step 3: Find Slope

Substitute in x:                                                                                                [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply:                                                                                                           [tex]\displaystyle f'(4) = 56 + 7[/tex]Add:                                                                                                                  [tex]\displaystyle f'(4) = 63[/tex]

This means that the slope of the tangent line at x = 4 is equal to 63.

Hope this helps!

Topic: Calculus AB/1

Unit: Chapter 2 - Definition of a Derivative

(College Calculus 10e)

need help please will give brainliest

Answers

Answer:

y=1/5x+7

Step-by-step explanation:

Please help me with this

Answers

Answer:

1 h 30 minuutes

Step-by-step explanation:

[tex]1.5 \: hr = 1 \: hr + 0.5 \times 60 \: min \\ \\ = 1 \: h \: 30 \: min \\ \\ [/tex]

Answer:

1.5 Hrs x 60 minutes = 90 minutes

1 hour 30 minutes

The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help

Answers

Answer:

Total income= $4,083.75

Step-by-step explanation:

First, we need to calculate the total number of people that enter the aquarium in the first two hours.

1st hour= 140

2nd hour= 140*1.25= 175

Total number of people= 315

Now, we can determine the total amount of money earned:

Each ticket cost 15.25.

Total income= 315*15.25

Total income= $4,083.75

6. Draw the graph of the linear equation 3x - y = 3. Hence find the
coordinates of the point where the graph intersects y-axis.

Answers

Answer:

(0,-3)

Step-by-step explanation:

Solve the inequalities by graphing. Select the correct graph. y> X y<-X​

Answers

Answer:

i think is y>X

Step-by-step explanation:

Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____

Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______


Answers

Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Therefore you have 3 dimes

Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?

Answers

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Answers

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:

[tex]r = \frac{4\,in}{5\,ft}[/tex]

We can convert each length by dividing it by scale factor. That is:

Length

[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]l' = 20\,ft[/tex]

Width

[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]w' = 31.25\,ft[/tex]

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?

Answers

He should get $855. 28500 x 3% = 855

Solve by Substitution:
3x-2y = 4
y = -2x + 5


YALL PLZ HELP ILL DO ANYTHING

Answers

Answer:x=2

Step-by-step explanation:

3x-2(-2x+5) = 4

3x + 4x - 10 = 4

7x-10 = 4

7x = 14

x = 2

y = -2(2) + 5

y = -4 + 5

y = 1

(x,y) = (2,1)

Solve.
952448 / 112 =

Answers

Answer:

10

Step-by-step explanation:

yup that's all have sorry

Is the function even,odd, or neither

Answers

Answer:

even  :D

Step-by-step explanation: :D

A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case in ONE STEP, my equation Part = %*whole will be...

Answers

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?

Answers

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Which of the following is an equation with ONE solution?

A
2x = 2x + 18

B
2x - 10 = 2(x - 5)

C
5(x + 3) + x

D
2x + 5= 11 - 4x

Answers

D is the answer. I hope this helps!
Other Questions
Dana has to pay 30% tax on any income above 30,000 per year.Dana is paid 45,000 annually.Calculate the amount of money she receives after tax each month. Which expression is equivalent to -3(m + 5)?A: m - 15.B: -3m + 5.C: -3m - 15.D: - 15m. please help will mark brainliest. random answers will be reported What is the answer??? I WILL GIVE BRAINLIESTThe first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 5.9) 0.5 before entering it into the calculator is shown.4(3.8 5.9) 0.5Which statement is true?Juan performed the first step correctly.The first step should have been 3.6 + 0.4(2.1) 0.5.The first step should have been 3.6 + 0.4(2.1) 0.5.The first step should have been 3.6 + 1.52 5.9 0.5. Please hurry ill give brainiestUse the correct definite article. (the- el la los las)marcadoresUse the correct definite article. (the- el la los las)relojUse the correct definite article. (the- el la los las)ventanaUse the correct definite article. (the- el la los las)pizarrasUse the correct definite article. (the- el la los las)sacapuntasUse the correct indefinite article. (a/some- un una unos unas)pginaUse the correct indefinite article. (a/some- un una unos unas)pupitresUse the correct indefinite article. (a/some- un una unos unas)cesto de papelesUse the correct indefinite article. (a/some- un una unos unas)leccionesMake the noun and the article plural.el marcadorMake the noun and the article plural.el lpizMake the noun and the article plural.la calculadoraMake the noun and the article plural.el cuadernoMake the noun and the article plural.el escritorio a dog walks 696 steps in 12 minutes. how many steps in 12 minutes 1.25 x 10^12 molecules H2SO4 to moles Is the function even,odd, or neither You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order? What would happen if a second universal flood occurs? Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct? If a section of DNA has 15% thymine, how much adenine will it have? 1. 15%2. 30%3. 60%4.85% 4. A surgical patient needs to have her liquid intake carefully monitored. How many mL of fluid did she consume if shedrankL of water, a pint of milk, and 8 oz of juice? Which of the following objects absorbs the most light? Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)= 7x^2 + 7x + 3 at x= 4 A car salesman receives 3% commission on his total weekly sales. Last week his total sales were 28500How much commission does he earn? Which is an example of physical weathering ?limestone in rock dissolving when acid rain flows across itbits of rock rusting when exposed to oxygen and waterwind blowing off bits of a rock over timeoxidation of certain metals in rock What will determine whether or not mutations will be passed to offspring? 1. The government of the U.S is an unlimited government:a. Trueb. False