Follow the directions to solve the system of equations by elimination.

8x + 7y = 39

4x – 14y = –68

Multiply the first equation to enable the elimination of the y-term.
Add the equations to eliminate the y-terms.
Solve the new equation for the x-value.
Substitute the x-value back into either original equation to find the y-value.
Check the solution.
The solution to the system of equations is (
,
).

Answers

Answer 1
8x + 7y = 39
4x - 14y = -68

(multiply each term in second equation by -2)

8x + 7y = 39
-8x + 28y = 136

(add both equations)

35y = 175

(divide both sides by 35)

y = 5

(substitute value of y in one of the equations)

8x + 7(5) = 39
8x + 35 = 39
8x = 4
x = 1/2
(x, y) = (1/2, 5)

Related Questions

A car tire with a diameter of 1.6 ft rotates 275 degrees . How far does a point on the circumference of the tire travel

Answers

Answer:

A point on the circumference of the tire will travel 7.68 ft.

Step-by-step explanation:

Given;

radius of the car tire, r = 1.6 ft

angular distance or rotation = 275⁰

A complete rotation of the tire = 360⁰

the distance a point on the circumference will travel = 2πr

If 360⁰ = 2πr

then 275⁰ = ?

[tex]= \frac{275 \ \times \ 2\pi r}{360} = \frac{275 \ \times \ 2\pi \times 1.6ft}{360} = 7.68 \ ft[/tex]

Therefore, a point on the circumference of the tire will travel 7.68 ft.

Please help me with i will mark brainliest

Answers

Answer:

125

Step-by-step explanation:

This can be simplified to sqrt(25) ^3

sqrt(25) is 5

          (5*5) = 25

5^3 = 225

          (5*5*5) = 125

Answer:

125

Step-by-step explanation:

[tex]\sqrt[2]{25^3} \\=25\sqrt[2]{25} \\=25*5\\=125[/tex]

Roció hará un circulo con un diámetro de 22.8 cm cuánto medirá un radio

Answers

Answer:

r = 11.4 cm

Step-by-step explanation:

The question says that, "Spray will make a circle with a diameter of 22.8 cm how long a radius will measure."

Given that,

The diameter of the circle, d = 22.8 cm

We know that the relation between the diameter and the circle is given by :

d = 2r

Where

r is the radius of the circle

r = d/2

r = 22.8/2

r = 11.4 cm

So, the radius of the circle is equal to 11.4 cm.

What is the measure of angle B

Answers

Answer:

Step-by-step explanation:

angle C + Angle B= Angle A(sum of two interior oppposite angles are equal to the exterior angle formed)

61+B=143

B=143-61

B=82 degree

We know that,

→ C = 61°

[A = B + C]

→ 143° = B + 61°

→ B = 143° - 61°

→ B = 82°

[180° = A + B + C]

→ 180° = A + (82° + 61°)

→ A = 180° - 143°

→ A = 37°

What is the distance between -4 and 0 on the number line

Answers

Answer:

4

Step-by-step explanation:

Answer:

The distance between -4 and zero is 4.

Step-by-step explanation:

If you count from -4 to 0 you will count 4 which is the answer.

Find the area of the shape below

Answers

Answer:

Q1) 104m²

Q2) 121 in.²

Step-by-step explanation:

Q1)

GIVEN :-

Figure given in the question comprises of a triangle & a rectangle.Length of the rectangle = 10 mWidth of the rectangle = 8 m Base of the triangle = 8 mHeight of the triangle = 6 m

TO FIND :-

Area of the figure

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex].For a rectangle with length 'l' & width 'w' , its area = [tex]l \times w[/tex]

SOLUTION :-

Area of the triangle = [tex]\frac{1}{2} \times 8 \times 6 = 24m^2[/tex]

Area of the rectangle = [tex]10 \times 8 = 80m^2[/tex]

Area of the figure = (Area of the triangle) + (Area of the rectangle)

                              = 24m²+ 80m²

                              = 104m²

Q2)

GIVEN :-

Figure given in the question comprises of a triangle & a trapezium.Lengths of parallel sides of trapezium are 6 in. & 7 in. Height of trapezium = 20 - 3 = 17 in.Base of the triangle = 3 in.Height of the triangle = 7 in.

TO FIND :-

Area of the figure

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex].For a trapezium with parallel sides whose lengths are 'a' & 'b' and height 'h' , its area = [tex]\frac{1}{2} \times (a +b) \times h[/tex]

SOLUTION :-

Area of the triangle = [tex]\frac{1}{2} \times 3 \times 7 = \frac{21}{2} = 10.5 \; in.^2[/tex]

Area of the trapezium = [tex]\frac{1}{2} \times (6 +7) \times 17 = \frac{221}{2} = 110.5\; in^2[/tex]

Area of the figure = (Area of the triangle) + (Area of the trapezium)

                              = 10.5 in.² + 110.5 in.²

                              = 121 in.²

Using the following image,find PQ given QR = 3 and PR =10

Answers

Answer:

7

Step-by-step explanation:

since the whole line is 10 and QR Is a part of the line and is 3. we subtract 3 from 10 to get our answer which is 7.

help please , i need the perimeter and area

Answers

Answer:

Area = 3.5325 ft² ≈ 3.53 ft²

Perimeter = 7.71 ft

Step-by-step explanation:

This is a semi-circle so we just divide the circumference of the original circle by 2

C = 2πr

C = 2 * 3.14 * 1.5

C = 3.14 * 3

C = 9.42

9.42 / 2 = 4.5 + 0.21 = 4.71 ft

4.71 ft + 3 = 7.71 ft

Area:

A = πr²

A = 3.14 * 2.25

A = 7.065 ft²

7.065 ft² = 3.5 + 0.0325 = 3.5325 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

. A tree casts a shadow that is 10 metres long. If the angle of elevation to the top of the tree from the ground at the end of the shadow is 60°, how high is the tree?

Answers

Answer:

Tree = 17.32 m

Step-by-step explanation:

HELL ASAP WILL MARK BRAINLIEST!!!

Lines CD and DE are tangent to circle A, as shown below:

CE is 105°, what is the measure of angle CDE?
52.5°
62.5
75°
255°

Answers

Answer:

The correct answer is 75 dgrees

Step-by-step explanation:

<CDE = arcCBE - arcCE / 2

arcCE = 105°

arcCBE = 360° - 105° =255°

<CDE = 255° - 105°

<CDE = 150 / 2

<CDE = 75°

Therefore the measure of < CDE is 75°

A is the point (-5, 2)
B is the point (7,-2)
C is the point (-2, 5)
a) Find the gradient of a line perpendicular to line AB.​

Answers

Step-by-step explanation:

the gradient for the line perpendicular to AB is 3

The slope of the line that is perpendicular to the line of AB is: 3.

What is the Slope of Perpendicular Lines?

If two lines are perpendicular to each other, their slopes will be the negative reciprocal of each other. i.e., if the slope of one is 3, the slope of the other would be -1/3.

Slope = change in y / change in x

Slope of AB = (-2 - 2) / (7 -(-5))

Slope of AB = -4/12

Slope of AB = -1/3

Negative reciprocal of -1/3 would be 3.

Therefore, the slope of the line that is perpendicular to the line of AB is: 3.

Learn more about slopes of perpendicular lines on:

https://brainly.com/question/1362601

Rewrite this expression using a single exponent 10^2/10^5

Answers

Answer:

10^-3

Step-by-step explanation:

so if you have 10^2/10^5, you would subtract the exponents since it is division.  2-5=-3

therefore, it would be 10^-2

Hope this helps!

Can someone pls help me with this :')

Answers

Answer:

7.5cm2

Step-by-step explanation:

5x3cm=15cm2 because of base x height/2 you would do

15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2

Answer:

D.

Step-by-step explanation:

Area of a triangle is bh/2

So your base is 5 and your height is 3.

So you do 5*3 which is 15.

And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16

So 7.5 times 2 is 15

A.)90
B.)41
C.)15
D.)83

Answers

Answer:

D

Step-by-step explanation:

∠ABC= ∠DBE (vert. opp. ∠s)

(6x -7)°= (4x +23)°

6x -7= 4x +23

Being x terms to 1 side, constant to the other:

6x -4x= 23 +7

Simplify:

2x= 30

Divide both sides by 2:

x= 15

Substituting the value of x:

m∠ABC

= 6(15) -7

= 83

What is the area of 9yd and 5yd and how’d you get it

Answers

9514 1404 393

Answer:

  45 yd²

Step-by-step explanation:

The area of a rectangle is the product of its length and width. If your given measures are the length and with of a rectangle, the area is found by multiplying them.

  A = LW

  A = (9 yd)(5 yd) = 9·5 yd·yd = 45 yd²

The area of a 9 yd by 5 yd rectangle is 45 square yards.

Which is true about the functional relationship shown in the graph?
Cost of Apples
AY
110
100
90
80
Cost ($)
50
an
2
20
10
0
Weight (pounds)

Answers

Right away we can get rid of answer b and c they have no correlation with the question imo the answer is A. The weight of the apples is a function to their cost the weight is the independent and the cost dependent.
Sorry if this is wrong I am not 100% sure

2y+ 3x = 87 and y=6x+21

Answers

Answer:

x=3 and y=39

Step-by-step explanation:

2y + 3x = 87

y = 6x + 21

2(6x+21) + 3x = 87

12x + 42 + 3x = 87

15x + 42 = 87

15x = 45

x = 3

y = 6(3) + 21

y = 18 + 21

y = 39

Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as a
percent
You choose a marble at random from a bag containing 12 red, 12 blue, 4 green, 6 yellow, and 26 black
marbles,
The marble is red

Answers

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

The table shows the daily high temperature for a week in April in New York City. What is the range of the temperatures

A) 32 F
B) 33 F
C) 59 F
D) 62.6 F

Answers

Answer:A. 32 F

Step-by-step explanation:

im correct if I'm rwong

A 4-digit code is to be formed using 4 different numbers selected from 1, 2, 3, 4, 5, 6, 7, 8 and 9. Find how many different codes can be formed if (a) there are no restrictions, (b) only prime numbers are used, [2] (c) two even numbers are followed by two odd numbers,​

Answers

Answer:

ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|Welcome to Gboard clipboard, any text you copy will be saved here

help me solve this question and thanks !

Answers

[tex] (x + 3)(x + 5)[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + 8x + 15 \\ ={x}^{2} + 5x + 3x + 15 [/tex]

Taking [tex]x[/tex] as common from first two terms and 3 from last two terms, we have

[tex] =x(x + 5) + 3(x + 5)[/tex]

Taking the factor [tex](x+5)[/tex] as common,

[tex] = (x + 3)(x + 5)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Albert bought 3 blank tapes for $5.95. Find
the cost per tape to the nearest cent.

Answers

Answer:

1.94

Step-by-step explanation:

Divide 5.95 by 3

sutract
-2/8 from 4/5

Answers

4/5-(-2/8)= 4/5+2/8 On taking LCM = 42/40= 21/20

what is 13/4+(-3/4)=c​

Answers

Answer:=5/2

Step-by-step explanation:

I dont get it yall help​

Answers

The answer is x=-2

First distribute 8 to what’s in the parentheses

3x-1=8x+8+1

Then combine like terms on both sides (in this case only the right side)

3x-1=8x+9

Then move the -1 to the right side (you add one and cancel it out on the left side and then add one to 9 on the right side)

3x=8x+10

Move the 8x to the left side by subtracting 8x and subtracting 8x to 3x

-5x=10

Divide -5 on both sides and it will cancel out the -5x and leave you with x and complete the problem (since 10 divided by -5 is -2 that’s your answer)

x=-2

Using the number line shown, place a point at 4 and the opposite of 4 . Place a point at −2 and at the opposite of −2 . Place a point at 0 . For parts (b) and (c), type each answer in the box below. b. Explain why the opposite of a positive number will always be a negative number. c. Explain why zero is its own opposite number.

Answers

Answer:

1/4

Step-by-step explanation:

Does anyone know how to solve this? I would really appreciate help.

Answers

Answer:

Step-by-step explanation:

The intersection point (centroid) divides the medians in ratio 2:1. it does mean that the long segment value is the short segment value multiplied by two. let's call the centroid point G.

BG=DG*2=4*2=8

CG=EG*2=2*2=4

AG=FG*2 =>FG=AG/2=6/2=3

Determine whether the lines given by the fallowing equations intersect at (-1/4,3/4) show all work. 4x+8y=5, x-3y= -3

Answers

Answer:

(0, 1)

Step-by-step explanation:

First, we need to make y the subject of the formula from both expressions

For 4x+8y=5

8y = 5- 4x

y = (5-4x)/5

Similarly for x-3y= -3

-3y = -3 - x

3y = x+3

y = (x+3)/3

Since both lines intersects, hence;

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

Cross multiply

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

5x + 15 = 15 - 12x

5x + 12x = 15 - 15

17x = 0

x = 0/17

x = 0

Sustitute x = 0 into any of the equations

Given that y = x+3/3

y = 0+3/3

y = 3/3

y = 1

This shows that the lines intesects at (0, 1)

Carly takes a taxi from her house to her friends. Their houses are 6km apart. The taxi driver charges a flat fee of $10 plus $0.25/km. This can be modeled using the equation: C=0.25+10, where X represents the distance travelled in km and C represents the cost in dollars. How much will the taxi ride cost?

Answers

Answer:

$11.50

Step-by-step explanation:

0.25 times 6= 1.5, plus 10= 11.50

8. Select all the numbers that irrational

Answers

Answer:

Answers are square root of 2, square root of 7,

Step-by-step explanation:

Irational is a number that is never ending.

Square root of 2 is irrational since there is no pattern to the number after the decimal.

10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is  not a irrational.

Sqrt of 7 does not have a pattern after the decimal point so it is irrational.

 

5.87 with a dash on top is rational since it means it has a pattern of continues 87's.

Last one it is equal to 2 so it is rattional.

Answer:

The square root of 2 is irrational, also 5.87 repeating,  the square root of 7 and the other two options aren't irrational.

Step-by-step explanation:

Irrational numbers definition: a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers

Hope I helped, have a nice day :)

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