Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61

Answers

Answer 1

Answer:

223/29

Step-by-step explanation:

5x+3y=10 . multiply by 4

3x-4y=61 .  multiply by 3

20x+12y=40

+  9x-12y=183

_____________

29x-0y = 223 . divide both sides by 29

   x = 223/29


Related Questions

Can Someone Please Explain This To Me

Answers

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

-3/5+2/3 pls help now

Answers

Hope it helpsssss !!!!!!!

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.

Jane is

years old.
Harvey is

years old.

Answers

Answer:

Jane is 12 and Harvey is 36

Step-by-step explanation:

3x+x=48

4x=48

x=12

3(12)=36

1(12)=12

simplify
-12 divided by 3 x (-8 + (-4) ^2 - 6) + 2

Answers

[tex] \large \mathfrak{Solution : }[/tex]

-12 ÷ 3 × (-8 + (-4)² - 6) + 2

-12 ÷ 3 × (-8 + 16 - 6) + 2

-12 ÷ 3 × 2 + 2

-4 × 2 + 2

-8 + 2

-6

3x + 2
given f(x) =
What is f(1)?
X-1

Answers

Answer:

D

Step-by-step explanation:

f(1)=(3+2)/(0)=5/0 which means f(1) doesn't exist

What is the value of (-1/4 - 1/2) ÷ (-4/7)

Answers

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

(x+1)/5 + (x+1)/6 + (x+1)/7 + (x+1)/8 + (x+1)/9 + (x+1)/10 = 0

Answers

Step-by-step explanation:

[tex] \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0[/tex]

[tex](x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0[/tex]

Since the second factor is non-zero, the only possible condition for the equation to hold is,

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

Solve for w.
|5w + 7) = |5w + 8)

please help :)

Answers

Answer:

w=3/2

Step-by-step explanation:

[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]

What is the perimeter of the recangle 6 in by 8 by6 by 8

Answers

Answer:

28

Step-by-step explanation:

6+8+6+8

6+8=14x2=28

Answer:

28

Step-by-step explanation:

P = 2(l+ w)

2(6+ 8) =

2(14)=

28

Hope this helps.

HELP MEE !!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

It is D

9 * (12 + 7) = 9 * 19 = 171

now we test to see if 9 * 12 + 9 * 7 is the same

9 * 12 = 108

9 + 7 = 63

108 + 63 = 171

Step-by-step explanation:

The ratio of sugar to flour in Sydney's favorite recipe for chocolate chip cookies is 3 to 2. If Sydney used 20 tsp of flour, how many tsp of sugar did she use? ​

Answers

Answer:

30 tsp of sugar

Step-by-step explanation:

If 20 is 2 parts of the 5 parts  then 1 part is 10

 10x3 =30

   30 to 20    =  3 to2

11. Solve for x: 2x^2 - 18 = 0

please help show work

Answers

Answer:

x = 3^2

Step-by-step explanation:

2x^2 = 18

x^2 = 18 / 2

x^2 = 9

x = √9

= 3

need help with this!

Answers

9514 1404 393

Answer:

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

  a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

  a(n) = 1/2(-8)^(n-1)

The illustration below shows the graph of y as a function of x.
Complete the sentences below based on the graph of the function.
As x increases, y _____
The rate of change for y as a function of x is ______
therefore the function is_____
For all values of x, the function value y____ 0
The y-intercept of the graph is the function value y=______
When x=6 equals, 6, the function value y=____

Answers

As x increases, y increases

The rate of change for y as a function of x is 1.4

therefore the function is growth function

For all values of x, the function value y increases

The y-intercept of the graph is the function value y 1

When x = 6, the function value y = 7.5

How to find the rate of change of for the function

For an exponential function, the rate of change is b, in the equation

= f(x) = abˣ

From the graph, points (0, 1), and (2, 2) will be used for the calculation

Exponential function is represented by f(x) = abˣ

for x = 0, f(x) = 1

1 = a * b^0

a = 1

for x = 2, f(x) = 2

2 = 1 * b^2

2 = b^2

b = √2 = 1.414

for increasing rate, b = 1 + r

1.41 = 1 + r, r = 41%

When x = 6

= 1 * 1.4^6

= 7.5

Learn more about exponential function here:

https://brainly.com/question/29716012

#SPJ1

Choose the repeating decimal that is equal to
the fraction on the left.
0.17
0.351
0.17
0.351
0.351
58
165
79
225
13
37
ОО
ОООО
8
45
ООО
17
99

Answers

Step-by-step explanation:

[tex] \frac{58}{165}[/tex]

[tex] \frac{79}{225} [/tex]

[tex] \frac{13}{37} [/tex]

[tex] \frac{8}{45} [/tex]

[tex] \frac{17}{99} [/tex]

The answer is in the picture shown here

7. Sorav bought a jacket for Rs. 2500 sold it for Rs. 1900. Find her loss.​

Answers

Answer:

600

Step-by-step explanation:

if SP>CP,  

It is profit [SP - CP = Profit]

if CP>SP,  

It is loss  [CP - SP = Loss]

 

Here in the question CP>SP so,  

loss = CP - SP  

      =2500 - 1900  

      = 600

Answer:

24

Step-by-step explanation:

C.P=2500

S.P=1900

Here,

Cp>Sp

So,

Loss= cp-sp

---------- ×100%

cp

=2500-1900

----------------- ×100%

2500

= 600

------- ×100 %

2500

= 24.

If it wrong, then sorry .

Hope it helps you.

How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long

Answers

Answer:

[tex]14\frac{2}{11}[/tex] ft

Step-by-step explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

[tex]\frac{x}{26} =\frac{6}{11}[/tex]

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =  [tex]14\frac{2}{11}[/tex]

Determine which number is in "proper" scientific notation.

Answers

The number that is in "proper" scientific notation is A. 2.31 * 10^-4

What is scientific notation?

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.  When a number is too big or too small to be conveniently stated in decimal form, or if doing so would involve writing out an exceptionally long string of digits, it can be expressed using scientific notation. It is also known as standard form in the scientific form, standard index form, and standard form.

The number on the left in scientific notation always consists of a single digit, a decimal point, and the appropriate (see important figures) number of digits after the decimal.

Learn more about scientific notation at:

https://brainly.com/question/1767229

#SPJ1

A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.

Answers

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

There are 25 students' names in a hat. You choose 5 names. Three are
boys' names and two are girls' names. How many of the 25 names would
you expect to be boys' names?
Show all of your work do in 10 minutes

Answers

Answer:

15

Step-by-step explanation:

You have to calculate the boys name using ratio expression.

3/5 × 25

= 15

Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?

Answers

Step-by-step explanation:

Please mark me as brainlyest

jasper had 3 5/6 feet of rope. He cut off two pieces that were 1 2/3 feet each for a project. How many rope does Jasper have left?

Answers

Answer:

Jasper have left 1/2 feet

Step-by-step explanation:

3 5/6 - (1 2/3 x 2)

= 23/6 - 10/3

= 23/6 - 20/6

= 1/2

Answer:

Jasper has [tex]3/6[/tex] feet of rope left.

Step-by-step explanation:

[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]

Average rate of change question

Answers

Answer:

Step-by-step explanation:

A good doctor recommends that a person who weighs 65 pounds be given 200
milligrams of medicine. If the dosage were proportional to a person's weight, how
many milligrams of medicine would the doctor recommend for a person who
weighs 96 pounds?

Answers

9514 1404 393

Answer:

  295 mg

Step-by-step explanation:

The proportion can be written ...

  dose/(96 lb) = (200 mg)/(65 lb)

  dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units

The doctor might recommend 295 mg for a 96-pound patient.

Cecelia receives two credit card offers in the mail. Each has a 0% introductory APR. After the introductory period, the first card has an APR of 19.99% and the second card has an APR of 24.99%. If each card has a late fee of $35 and an annual membership fee of $25, which card should she choose and why?

Answers

Answer:

1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35

Then we must consider the APR after the initial value 19.999% < 24.99%

Hence she should price the first card with a 19.99% APR

<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5​​

Answers

Here <5=<8 then

<7=<6=29

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

<5=61°

What is 10% Compound interest of R15 000 every month for 3 years?​

Answers

Answer:

19500

Step-by-step explanation:

30/100 X 15000 = 4500

15000 + 4500 = 19500

Answer:

A = $19,965.00

A = P + I where

P (principal) = $15,000.00

I (interest) = $4,965.00

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 15,000.00(1 + 0.1/1)(1)(3)

A = 15,000.00(1 + 0.1)(3)

A = $19,965.00

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 10% per year compounded 1 times per year over 3 years is $19,965.00.

evaluate the expression

Answers

Step-by-step explanation:

13

[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]

[tex]3 + 4 - 4 = 3[/tex]

15

[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]

[tex] \frac{10 - 9}{20 - 12} [/tex]

[tex] \frac{1}{8} [/tex]

which graph shows x =4?

Answers

Answer:

second graph shows x=4 because you can see from origin point and counting will makex=4

What's the X-Intercepts of (2x-5)(x+1)=9 or (2x-5)(x+1)-9

Answers

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.

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