6x - 5y= 70
7x + 2y=66

I need a answer in words step by step please help!!

Answers

Answer 1
(10,-2) or x=10 , y=-2
Answer 2

Answer:

x = 10

y = -2

Step-by-step explanation:

Elimination method:

6x -  5y = 70 -----------------(I)

7x + 2y = 66 -----------------(II)

Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x

(I)*2           12x - 10y  = 140

(II)*5          35x + 10y = 330     {Now add}

                 47x           = 470

                              x = 470/47

x = 10

Plugin x = 10 in equation (II)

7*10 + 2y = 66

70 + 2y = 66

Subtract 70 from both sides

2y = 66 - 70

2y = -4

Divide both sides by 2

y = -4/2

y = - 2


Related Questions

What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)

Answers

Answer:

[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]

A rectangle has an area of 161.2m2.
One of the sides is 5.2m in length.
Work out the perimeter of the rectangle

Answers

Answer:

72.4 m

Step-by-step explanation:

The area of a triangle is

A = l*w

161.2 = 5.2 *w

Divide each side by 5.2

161.2/5.2 = w

31 =w

Now find the perimeter

P =2 (l+w)

P =2 ( 5.2+31)

P =2( 36.2)

P =72.4

At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?

Answers

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%

Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.

How many pieces can he cut?


Ignore the answer I put

Answers

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3

PLEASE HELP IM OVERDUE

Answers

Answer:

98 m³

Step-by-step explanation:

For similar shapes

The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.

Applying,

L³/L'³ = V/V'............... Equation 1

Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism

From the question,

Given: L = 5 m, L' = 7 m, V = 50 m³

Substitute these values into equation 1

5²/7² = 50/V'

25/49 = 50/V'

V' = (50×49)/25

V' = 98 m³

Answer: 137.2

Step-by-step explanation:

I'm just making the correct answer an actual answer instead of a comment so it's easier to see

In each part, a and b represent the length of a leg of a right triangle, and c represents the length of its hypotenuse. Find the missing length, given the other two lengths.

Answers

Answer:

c=13 and a=20

Step-by-step explanation:

Here you need to use the Pythagoras theorem :

c²=a² + b²

c = √a² + b²

c = √(12)²+(5)²

c= √144+25

c = √169

c = 13

2) c²=a²+b²

    b= √c²-b²

    b= √(29)²-(21)²

    b = √400

    b = 20

In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation

Every Friday the boss buys pizza for his workers. Last week the workers finished 5 pizzas. This week
they finished 5 pizzas. Write the ratio of pizzas eaten last week to pizzas eaten this week.
Remember ratios must have two whole numbers.

Answers

Answer:

1:1 because they ate the same amount both weeks

Based on the picture below (note that it is not drawn to scale), Maggie says that . Is she correct? Explain why or why not.

Answers

Answer:

Step-by-step explanation:

By using the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

If ΔSMA ~ ΔPOD

[tex]\frac{SM}{PO}=\frac{MA}{OD}=\frac{SA}{PD}[/tex]

[tex]\frac{6}{10}=\frac{5}{10}=\frac{5}{12}[/tex]

[tex]\frac{3}{5}=\frac{1}{2}=\frac{5}{12}[/tex]

Since, ratios of corresponding sides are not equal,

Therefore, the given triangles are not similar.

Apply the distributive property to create an equivalent expression.
\dfrac12(2a - 6b+ 8) =
2
1

(2a−6b+8)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 2, a, minus, 6, b, plus, 8, right parenthesis, equals

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]a-3b+4[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

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

Answer: a-3b+4

Step-by-step explanation:

Credits to guy up there

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Answers

Answer:

True

Step-by-step explanation:

The formula to convert Fahrenheit degrees to Celcius degrees is [tex]C=5/9*(F-32)[/tex]

Which of the following must be true to prove triangle ABC = ~ triangle DEF by the AAS theorem? I need help to understand this, can someone show me step by step on how to do this?

Answers

I think its a! If i am correct

Share $600 between Anna and Raman in the ratio 3:7 and 1:4

Answers

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

Shares when ratio is 3 : 7

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

                   [tex]\frac{3}{10} \times 600 = \$ 180[/tex]

Raman 's share=

                  [tex]\frac{7}{10} \times 600 = \$ 420[/tex]

Shares when ratio is 1 : 4

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

                   [tex]\frac{1}{5} \times 600 = \$ 120[/tex]

Raman's share =

                  [tex]\frac{4}{5} \times 600 = \$ 480[/tex]

I NEED THIS NOW NO LINKS OR ILL REPORT PLZZZ

Answers

Answer:

2x + 4

Step-by-step explanation

Answer:

it's B, because 2*x and 2*-6 give 2x-12+16 which is 2x+4

to multiply two fractions multiply the numerator by the and the denominator by the ​

Answers

Answer:

Multiply the numerator by the numerator and the denominator by the demoninator.

Step-by-step explanation:

Answer:

Nope, to multiply two fractions = numerator × numerator / denominator × denominator

Step-by-step explanation:

For Example:

[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]

Multiply 5 by 8

40

Multiply 3 by 2

6

Result: [tex]\frac{40}{6}[/tex]

Finally Simplify

[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal

How long would the processing take to develop 1000 negatives if it takes 5 minutes to develop 100 negatives? minutes Type the correct answer, then press Enter.​

Answers

Answer:

50 minutes

Step-by-step explanation:

First you need to find out how many times 100 will fit into 10

1000/100 = 10

then you need to multiply it by 5, because each 100 negatives takes 5 minutes.

10 * 5 = 50

your answer is 50.

June 14th Jim Thompson Homework

Answers

Answers:

8) Choices E, F and G9) r = -0.9510)  0.9 (choice C)11) Choice C. y1 = mx1+b12) Choice B. Slope13) Choice C. y intercept

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

Explanations:

8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.

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

9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.

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

10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9

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

11) The general equation is y = mx+b. We simply replace x,y with x1,y1.

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

12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.

As an example, y = 2x+5 has slope 2.

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

13) The b in y = mx+b is the y intercept. It's the initial value.

It always occurs when x = 0 since

y = mx+b

y = m*0+b

y = b

Meaning the point (0,b) is the location of the y intercept.

For example, y = 2x+5 has y intercept 5 located at the point (0,5).

16. Solve y2 - 17x + 30 = 0 by factoring.​

Answers

Answer:

x = 15 , x = 2

Step-by-step explanation:

[tex]x^2 -17x + 30 =0\\\\x^2 -2x-15x +30=0\\\\x(x-2)-15x(x-2) =0\\\\(x-15)(x-2)=0\\\\[/tex]

x = 15 , x = 2

Fessvhrddvg 26fggggggioytrewe

can someone pls pls help me?

Answers

Answer:

i think 88

Step-by-step explanation:

(it's been a while since I've done this so I'm not too sure it's correct)

The formula we need to use is

2πr(angle/360)

we need the radius (r)

To get r we need angle AES

180-80= 100

using the equation from before

88=2πr*(100/360)

raidus: 50.42

Then to get the length CD we need angle DEC

180-80=100

2π*50.42*(100/360)=88

there probably was some kind of shortcut we could've used to figure this out faster but whatever

Simplify by factorising first

Answers

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be [tex]x^{2} +2x and 8x+16[/tex]

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be [tex]x(x+2) 8(x+2)[/tex]

This can rewritten as (x+8)(x+2)

So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8

Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work

Answers

Answer:

y = 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes , then

y = 6x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = 6x - 19 ← equation of parallel line

3. Apply what you have learned to answer the following question. Select the correct choice
and explain your reasoning
Which equation has the same number of solutions as 914x + 2) 71588) -
А
C
3(8x 12) 5(
39)
B flor + 9) - / 12x + 8
D
3(180 + 10) = 313x + 2) -
A
О ООО

Answers

Answer:

shshghhhsjsjjsjsjs

Step-by-step explanation:

snnsbzhhhshs

PLEASE HELP!! Which variable is most important to the following problem?

Jackie played the first 8 minutes of a basketball game. Layla then replaced
her for the rest of the half. Layla started the second half and was replaced by
Jackie with 9 minutes left in the game. If each half is 16 minutes long, how
long did Jackie play?

A. The number of players who played during the game

B. The number of minutes Layla played in the second half

C. The total number of minutes Jackie played

D. The length of the half

Answers

Answer:

Step-by-step explanation:

d

D because I need free pass

i need help with this problem

Answers

Answer:

Step-by-step explanation:

Her angle of depression is the same measure as the angle of inclination inside the triangle. That's the base angle that is not the right angle. The height of the triangle is the 10,000 feet she is up in the air, and the reference angle is 20, and we are looking for the measure of the base of this right triangle. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

[tex]tan(20)=\frac{10000}{x}[/tex] and

[tex]x=\frac{10000}{tan20}[/tex] so

x = 27474.77 feet

- If 4x = 4, what is the value of 3y ?
2y
X
A)
3
4
B)
ما در
C)
2
D) 2

Answers

Answer:

C

Step-by-step explanation:

[tex] \frac{4x}{2y} = 4[/tex]

Simplify fraction:

[tex] \frac{2x}{y} = 4[/tex]

Divide both sides by 2:

[tex] \frac{x}{y} = 2[/tex]

[tex] \frac{x}{y} = \frac{2}{1} [/tex]

[tex] \frac{y}{x} = \frac{1}{2} [/tex]

[tex] \frac{3y}{x} [/tex]

[tex] = 3( \frac{y}{x} )[/tex]

[tex] = 3( \frac{1}{2} )[/tex]

[tex] = \frac{3}{2} [/tex]

Step-by-step explanation:

everything can be found in the picture

how many eggs are 5 dozen​

Answers

Answer:

A dozen is 12.

12*5 = 60 eggs

5 dozen eggs are equal to 60 eggs.

A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.

When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.

To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):

5 dozen x 12 eggs/dozen = 60 eggs

Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ6

Which system of equations has infinitely many solutions?

Answers

The last one. Both lines are the same

can someone pls pls help me?

Answers

Answer:

its 30 or 24

Step-by-step explanation:

but its most likely 30

-7 2/3 + (-5 1/2) + 8 3/4

Answers

Answer:

the answer would be -1339/24

If 50 kg of rice cost Rs 375,how much can be purchased for Rs.525?​

Answers

Answer:

70kg can be purchased for Rs 525

Step-by-step explanation:

Let the quantity of rice that can be bought with Rs 525 be = x

           Rice ( kg)                Cost (Rs)

              50                          375

                x                           525

  [tex]\frac{50}{x} = \frac{375}{525} \\\\x \times 375 = 50 \times 525\\\\375x = 26250\\\\x = \frac{26250}{375} = 70 \ kg[/tex]

Therefore 70kg rice can be purchased for Rs. 525

Worth 10 points please help me

Answers

Answer:

(2,1)

Step-by-step explanation:

one half of (4,2) would be (2,1)

easy math, just a little tricky logic

Other Questions
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However, when I run it It asks the first question "Employees name" after input it errors and closes itself down. Can anyone find where in my code it is causing it to do this please? To be clear, I am not asking for someone to write the program, I have already done this, just need to know why it compiles but does not run all the way through. Thank You!#include #include #include using namespace std;class Employee{private: string employeeName; int employeeNumber; int hireDate;public: void setemployeeName(string employeeName); void setemployeeNumber(int); void sethireDate(int); string getemployeeName() const; int getemployeeNumber() const; int gethireDate() const; Employee();{ What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school Andrea Arenas is the owner of 2 Places at 1 Time, a concierge company. 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