Two times a number minus four times another number is ten, and four times the first
number minus four times the second number results in four. What are the two
numbers? Let the first number be x. Iand the second number be y.

Answers

Answer 1

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

2x-4y=10

4x-4y=4

distribute first equation by -2 to eliminate x-values:

 -4x + 8y = -20

+ 4x - 4y = 4

4y = -16

y = -4

solve for 'x':

2x - 4(-4) = 10

2x + 16 = 10

2x = -6

x = -3

Answer 2

The solution for the given system of equations is x = -3 and y = -4.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

This is a system of linear equations in two variables, x and y.

The first equation is:

2x - 4y = 10

The second equation is:

4x - 4y = 4

You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.

From the first equation:

2x - 4y = 10

2x = 4y + 10

x = 2y + 5

Substitute this expression of x in the second equation,

4(2y+5) - 4y = 4

8y + 20 - 4y = 4

4y = -16

y = - 4

Now, substitute this value of y in x = 2y + 5

x = 2 × -4 + 5

x = - 3

Hence, the solution for the system of equations is x = -3 and y = -4.

Learn more about the Linear equations here:

brainly.com/question/13738061

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Related Questions

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

I say A or B but in favor A

Step-by-step explanation:

How. Many 5s is in 200989

Answers

Answer:

40197 these many 5s make up 200985 so 4 are left to make 200989

Step-by-step explanation:

Answer:

40197.8

Step-by-step explanation:

200989 ÷ 5

40197.8

Which matrix represents the system of equations shown below?
y = 5
4x = 3

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]

Step-by-step explanation:

A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.

When given the following system:

y = 5

4x = 3

One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).

y + 0x = 5

0y + 4x = 3

Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).

[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]

please help will mark brainlyist and 10 points if right

Answers

Answer:

can u copy the text and send it to help u

how many lakhs are there in 2 millions?​

Answers

Answer:

2,000,000 - 2 million

20,00,000 - 20 lakhs

Answer:

10 lakh = 1,000,000

So 20 lakh is = 2 million

Hope it helps!

What is the area of a triangle with a base of 9 feet and a height of 10 feet?

38 ft 2
90 ft 2
19 ft 2
45 ft 2

Answers

Answer:

45 [tex]ft^2[/tex]

Step-by-step explanation:

Multiply 9 · 10 = 90 then divided by 2 = 45

Answer:

45

Step-by-step explanation:

Did the test

please help. i don’t know what to dooooooooooo

Answers

Answer:

x = 48 degrees

Step-by-step explanation:

(2x + 2) + (x + 34) = 180

3x + 36 = 180

3x = 180 - 36

3x = 144

x = 144 / 3

x = 48 degrees

I hope this helps :)

Answer:

B. x = 48

Step-by-step explanation:

(x + 34)+(2x + 2) = 180°. Angles on a straight line

x+2x = 180 - (34+2)

3x = 180 - 36

3x ÷3 = 144 ÷3

x = 48°

hey! i’ll give brainliest help thanks

Answers

Answer:

B

Step-by-step explanation:

A story about someone's life, written by that person.

Good luck with the rest!

Answer:

Option B, A story about a person's life, written by that person

Step-by-step explanation:

We can take Autobiography, the term auto refers to by one's self, therefore autobiography would mean a story written by a person about them selves.

Hope this helps!

PLEASE HELP!!
Describe the relationship between expanding and factoring.

Answers

Answer:

To factor means to express as a product. To expand means to multiply something out.

Step-by-step explanation:

please answer my question for me pleaseeee

NEED ANSWERS ASAP THREE POINTERS
Scatter plot project
Below are the average three-point field goals per NBA game over seasons between 1979 and 2019. (The year refers to the
year each season began. For example, 2019 refers to the 2019-2020 season.) Create a scatter plot of the data. Then, write
a detailed analysis of what your scatter plot shows about the relationship of the variables. Include details about
correlation, whether or not the data is linear, any outliers, and how your scatter plot might be used to make predictions
3 Point Field
3 Point Field
3 Point Field
3 Point Field
Year Goals per Year Goals per Year Goals per
Year Goals per
Game
2019
12.1
2008 6.6
1998 4.5
1988 2.1
Game
Game
Game
2018
11.4
2007
6.6
1997
4.4
1987
1.6
2017
10.5
2006
6.1
1996
6
1986
1.4
2016
9.7
2005
5.7
1995
5.9
1985
0.9
2015
8.5
2004
5.6
1994
5.5
1984
0.9
2014
7.8
2003
5.2
1993
3.3
1983
0.6
2013
7.7
2002
5.1
1992
3
1982
0.5
2012
7.2
2001
5.2
1991
2.5
1981
0.6
2011
6.4
2000
4.8
1990
2.3
1980
0.5
2010
6.5
1999
4.8
1989
2.2
1979
0.8
2009
6.4

Answers

You’re welcome stranger

Find the area of the triangles with
congruent sides of 25 ft, a height
of 20 ft and a base of 30 ft.

Answers

I’m not sure if it’s right

Find the derivative of f(x) = 6 divided by x at x = -2

Answers

Answer: x=-3

Step-by-step explanation:

i don't really know if this is what I was supposed to do, but i did 6 divided by x=-2 and got x=-3

4. Mrs. Hernandez drew a quadrilateral on the board.
What type of quadrilateral did Mrs. Hernandez
draw?
A. Rectangle
B. Trapezoid
C. Rhombus
D. Square

Answers

all of those are quadrilaterals ..

Select all expressions that equal −7−(−12) .

A
7+(−12)

B
−7+(−12)

C
−7+12

D
7+12

Answers

Answer:

C, -7+12

Step-by-step explanation:

-7--12= 5

-7--12 can also be -7+12

Answer:

The answer is c

Step-by-step explanation:

-7-(-12) = 5

Mel received notice that his monthly health care rate will increase 20% next year. If Mel currently pays $150 per month for health care, by what amount will his rate increase next year?

Answers

It will increase by $30

We need to convert the percentage to a decimal by dividing by 100. Then we multiply by the $150.

150 x 0.20 = 30

AHH ILALAGAY KO PO YUNG TANONG YUNG IBA PO NA KAILANG NG PICT NASA PIC SA TAAS masagot po sna plsssssssssssssssssssssssssss

A.draw the following lines in the boxes
1.line AB and line CD-parallel lines

2.line FH and line XY - intersecting line

3.line MN and line QP-perpendicular line

performance 2

A.classify the triangles by their sides and angle

Answers

Step-by-step explanation:

seriously another one its ok i can do it

Find the total volume of the composite figure below. Round to the nearest thousandth.

Use the π key.

Answers

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ([tex]V[/tex]), in cubic feet, figure can be determined by this expression:

[tex]V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l[/tex] (1)

Where:

[tex]r[/tex] - Radius of the circle of the right cone, in feet.

[tex]h[/tex] - Height of the cone, in feet.

[tex]w[/tex] - Width of the cuboid, in feet.

[tex]H[/tex] - Height of the cuboid, in feet.

[tex]l[/tex] - Length of the cuboid, in feet.

If we know that [tex]r = 10\,ft[/tex], [tex]h = 10\,ft[/tex], [tex]w = 20\,ft[/tex], [tex]H = 7\,ft[/tex] and [tex]l = 18\,ft[/tex], then the volume of the composite figure is:

[tex]V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)[/tex]

[tex]V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}[/tex]

[tex]V \approx 3567.198\,ft^{3}[/tex]

The volume of the composite figure is approximately 3567.198 cubic feet.

I'LL GIVE BRAINLIEST IF CORRECT
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph.
- The slope of the graph of the function is equal to ___ for x between x = -3 and x = -2.
- The slope of the graph is equal to ___ for x between x = 3 and x =4.
- The greatest value of y is y = ___.
- The smallest value of y is y = ___.

Answers

Answer:

Did you mean to attach something?

Step-by-step explanation:

I don't see the illustration... without it I cannot answer the question.

Answer:

0, 0, 4, -3

Step-by-step explanation:

Between 02 30 and 05 15, the same day ,the volume of water in a reservoir increased from 1500 L to 14 700 L. What was the average rate of increased in volume of water, giving your answer in L/h?

Answers

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs

raise in water level = 14700-1500= 13200

the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h

Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x+3y=5

Answers

9514 1404 393

Answer:

  3x -5y = -38

Step-by-step explanation:

The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.

  given: 5x +3y = 5

  perpendicular: 3x -5y = constant

At the given point, the constant is ...

  3(-6) -5(4) = -18 -20 = -38

So, the desired equation is ...

  3x -5y = -38

Help me pls I need this to pass low key stuck

Answers

Answer:

m<F = 44°

length of FH = 15

length of GF = 21

Perimeter of ∆FGH = 50

Step-by-step explanation:

✔️Find m<F using the sum of triangle theorem:

The small box indicates angle 90°. Sum of a triangle is 180°. Therefore,

m<F = 180° - (90° + 46°)

m<F = 180° - 136°

m<F = 44°

✔️Find FH using trigonometric function:

Reference angle = 46°

Length of Opposite side = FH = ?

Length of Adjacent side = GH = 14

Apply TOA because we are concerned with the OPP and ADJ sides:

Tan 46° = Opp/Adj

Tan 46° = FH/14

14*Tan 46° = FH

14.4974243 = FH

FH = 15 (approximated to nearest whole number)

✔️Find GH by applying either a trigonometric function or just simply apply pythagorean theorem:

Pythagorean theorem is given as,

c² = a² + b²

c is the longest side (hypotenuse) = GF = ?

a = GH = 14

b = FH = 15

Thus:

GF² = 14² + 15²

GF² = 421

GF = √421

GF ≈ 21 (nearest while number)

✔️Perimeter of ∆FGH = GH + GF + FH

= 14 + 21 + 15

= 50

A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questions were worth 3 points. The team answered a total of 10 questions and earned 65 points. How many questions did the team answer in each category?

Answers

Answer:

The answered 5 math questions, and 5 science questions.

5 * 3 = 15

5 * 10 = 50

15 + 50 = 65

Step-by-step explanation:

helppppppppppp no links or you'll get reported

Answers

Answer:

1.95

Step-by-step explanation:

area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)

area = ( 1/2 ×1 ×0.9) = 0.45 for base

area =1.5+0.45 = 1.95

A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 3/10 of its total height. How much time, in minutes, does it take for the drawbridge to reach its total height?

Group of answer choices

1/5

9/20

20/9

5

Answers

9/20 this is the answer I hope I helped !

Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.

Answers

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=10/15

sin x=0.66

x=sin 42

therefore x=42 degree

A bag contains 6 green marbles and 4 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replaced. then the second marble is drawn. What is the probability that the first marble is red and the second one is green

Answers

Answer:

4/15

Step-by-step explanation:

4/10*6/9

2/5*2/3

4/15

3x+4y=−2. 2x−4y=−8
Select the statement that correctly describes the solution to this system of equations.

Answers

Answer:

One solution at (-2,1)

Step-by-step explanation:

3x+4y=−2.

2x−4y=−8

Add the two equations together

3x+4y=−2

2x−4y=−8

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

5x +0y = -10

Divide by 5

5x/5 = -10/5

x=-2

Now find y

2x-4y = -8

2*-2 -4y = -8

-4-4y = -8

Add 4 to each side

-4+4 -4y = -8+4

-4y = -4

Divide by -4

y = 1

Question 38
Two cuboids are congruent. Which statement about their properties

a.Each face has the same area

b.One is larger than the other

c.They have the same volume

d.The sum of the angles is 360°​

Answers

a because the face are always going to be the same.

Find each missing measure.

Answers

Answer:

m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

I agree the answer is 84...

What value of x solves the equation 56/x = 8 (Trigonometry)

(In image)

Answers

Answer:

b. 7

[tex] \frac{56}{x} = 8 \\ 8x = 56 \\ x = 7[/tex]

It’s b.7 bc 56/8 is 7 and 8x7 is 56
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