​Solve the system of equations.
5x−4y=−10
−4x+5y=8

Answers

Answer 1

Answer:

(- 2, 0 )

Step-by-step explanation:

5x - 4y = - 10 → (1)

- 4x + 5y = 8 → (2)

multiplying (1) by 4 and (2) by 5 and adding result will eliminate x

20x - 16y = - 40 → (3)

- 20x + 25y = 40 → (4)

add (3) and (4) term by term to eliminate x

9y = 0 , thus

y = 0

substitute y = 0 into either of the 2 equations and solve for x

substituting into (1)

5x - 4(0) = - 10

5x - 0 = - 10

5x = - 10 ( divide both sides by 5 )

x = - 2

solution is (- 2, 0 )


Related Questions

tim has 4 quarters and 5 pennies. how many cents does tim have?

Answers

Answer: $1.05

Step-by-step explanation:

quarters= 25 cents

4 x 25=100 cents

pennies=1 cent

5 x 1 = 5 cents

100+5=$1.05 or 105 cents

Через какую из данных точек проходит график функции y=6/x?
А) (3;3) Б) (2;3) В) (2;6) Г) (6;0)

Answers

Answer:

Б) (2,3)

Step-by-step explanation:

Заметь [tex]y=\frac{6}{x}\rightarrow 3=\frac{6}{2}[/tex]. Поскольку это утверждение верно, то ваш ответ Б) (2,3).

the volume of a cube is 729ft^3. if the dimension are divided in thirds , what is the new volume? A. 27ft^3 B. 2ft^3 C. 8ft^3 D. 16ft^3

Answers

Answer:

A. 27 ft^3

Step-by-step explanation:

cube root of 729 is

9

1/3 of 9 is

3

volume of a cube with an edge of 3 is

3^3 =

27

Please help its a math problem please see image attached

Answers

Answer:

(-∞, ∞)

Step-by-step explanation:

Solving :

Lowest x-value is -22 options have the lowest value as 0Hence, the correct option is : (-∞, ∞)

Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3​

Answers

Answer:

0.3, 1/3, 35%, 0.35, 2/3

Step-by-step explanation:

Find the volume of the trapezoidal prism

Answers

Answer:

228 in³

Step-by-step explanation:

Volume of a trapezoidal prism

V = Area x height

Finding Base Area (on the side here)

A = 1/2 x (a + b) x hA = 1/2 x (12 + 7) x 6A = 3 x 19A = 57 in²

Volume

V = A x hV = 57 x 4V = 228 in³

An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?

Answers

Answer:

from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children

Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?

Answers

Answer
29/75
Explanation
Total number of students = 75
Number of students taking algebra n(A) =45
Number of students taking chemistry n(C)=32
Number of students both taking algebra and chemistry n (ANC) =16
Number of students taking algebra only = n(A)-n(ANC)
=45-16
=29
The probability That the students are taking algebra not chemistry = 29/75

.
In a system of nonlinear inequalities, where and what is the feasible region?

Answers

Answer:

the region of the graph where the shaded regions of the graph of each inequality overlap, or where the regions intersect

Step-by-step explanation:

The area of the triangle below is 15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.

Answers

Answer:

5/8

Step-by-step explanation:

Area for a triangle

A=1/2bh

15/32=3/4h

5/8 = h

What is a fraction that is equal to 5?

Answers

Answer:

5/1  or 10/2

5/1 = 5

10/2 = 5

The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth

Answers

37.7 cm

C = 2πr
C = 2(3.14)6
C = 37.7 rounded
the radius is 6 because it is half of the diameter

11.
30 cm
30 cm
26 cm
Find the area

Answers

Answer:

30 x 30 x 26 = 23,400 area= 23,400

Step-by-step explanation: hope it helps

Answer:

i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM

Step-by-step explanation:

sorry caps

Write in the missing numbers.
ordering intergers

Answers

Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.

How are integers ordered?

Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.

Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.

If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.

An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:

= -800, -4, 1, 5, 52, 86

Find out more on ordering integers at https://brainly.com/question/12399107.

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(-2,-4)

Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4

Answers

Answer:

[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:  

[tex]y=a(x-h)^2+k[/tex]

where:

[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constant
If [tex]a > 0[/tex], the parabola opens upwards
If [tex]a < 0[/tex], the parabola opens downwards

From inspection of the graph, the vertex (turning point) is (-2, -4).

Substituting the vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-4)[/tex]

[tex]\implies y=a(x+2)^2-4[/tex]

As the parabola opens downwards, [tex]a < 0[/tex]:

[tex]\implies y=-a(x+2)^2-4[/tex]

The curve intercepts the y-axis at (0, -8).

Inputting this into the equation and solving for [tex]a[/tex]:

[tex]\implies -8=-a(0+2)^2-4[/tex]

[tex]\implies -4=-4a[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the graph is:

[tex]y=-(x+2)^2-4[/tex]

Answer:

y = -(x + 2)² - 4

Step-by-step explanation:

Vertex form of an equation :

y = a(x - h)² + k

Vertex = (h, k)

Substituting the coordinates of the vertex in the equation :

y = (x -(-2))² + (-4)

y = (x + 2)² - 4

y = -(x + 2)² - 4 (as the graph  opens downwards)

Father brought a carton of fruits. Total fruits in it are 150. 15 percent of them are rotten. Find the number of fresh mangoes

Answers

Answer: 127

Step-by-step explanation:

150 fruits times 15% = 22.5 rotten fruits

150 total -22.5 rotten=127.5 fres fruits

You can't have half a fruit so I chose to round down to 127

Will mark brainlist to whoever answers first, full explanation please

Answers

Reflection- It flips the image over a line to create a mirror image

Rotation - It spins a figure around a point

Translation-  It slides the figure in a different direction

Dilation- It enlarges or reduces a figure

The following scatter plot represents a company's sales on a certain product based on its price.
What does −4.8 represent in this linear model?
Pls help asap

Answers

Using linear function concepts, it is found that representation of the value of -4.8 is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:

f(x) = -4.8x + 121.02.

The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

help me iiwh this quesrion

Answers

Answer:

3 is $8 and 14 is about 18%

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

since the annual rate is 2% and you wait 6 months which is half a year

you'd get 1% of 800 so it'd be 8.

Show work please!!!!! HELPPPP

Answers

If you would like to find the volume here:

L•W•H

Big Rectangular: 10•14•6
Small Rectangular: 1•2•3


Surface Area:

2(L•W) + 2(L•H) + 2(W•H)

Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)

Find the interquartile range (IQR) of the data in the dot plot below. ms orlando

Answers

Answer:
1.75
Step-by-step explanation:
Low- 81
Q1-82.5
Median- 83.5
Q3-84
High- 85

Amanda invited 5 friends over for a sleepover. They decided to bake cupcakes. By the end of the night they had baked 6 dozen cupcakes. If the girls planned to use a third of the cupcakes for a bake sale and wanted to split the rest equally, how many would each girl receive?​

Answers

correct me if i’m wrong but i think the answer is 4.8

reasoning: a dozen is 12 so 6 times 12 is 72 and a third of that is 24 so i did 24 divided by 5 (24/5) and got 4.8

Answer:

  8

Step-by-step explanation:

After saving 1/3 of 6 dozen for the bake sale, the girls had 2/3 of 6 dozen left to split between them. Each of the 6 girls would receive 2/3 of 1 dozen, or 12×2/3 = 8 cupcakes.

Solve the equation 2(3x-2)=(12x+4)

Answers

Answer:

x = -4/3 or -1.3333333....... (infinite)

Step-by-step explanation:

6x-4=(12x+4)

6x-4+4=12x+4+4

6x = 12x + 4 + 4

6 = 12x + 8

6x - 12x = 12x + 8 - 12x

-6 = 12x + 8 - 12x

-6x = 8

-6x/6 = 8/-6

x = 8/-6

x = -4/3

Answer:

[tex]\sf x = -\dfrac{4}{3}[/tex]

Explanation:

Given Expression:

2(3x-2) = (12x+4)

Remove Parenthesis:

2(3x) - 2(2) = 12x + 4

Multiply Integers:

6x - 4 = 12x + 4

Exchange Sides:

12x - 6x = -4 - 4

Simplify:

6x = -8

Divide Both Sides by 6:

x = -8/6 = -4/3

please help!!!
Find an equation for this graph.

Answers

y=3(sin)pie over 4 +2

A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the volunteers of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.

Pls help. I need the first and third quartile and the median

Answers

Answer:

Step-by-step explanation:

Minimum: 2

Quartile Q1: 4.5

Median: 10

Quartile Q3: 15

Maximum: 19


The triangles shown below must be congruent.

Answers

true...

cus their angles are same... if you rotate the second triangle once to the left side

hope it helps...!!!

Find the value of cos G rounded to the nearest hundredth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS
(Image above!)

Answers

Answer:

[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = GA = GF = 2H = EG = 4

[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

CosG=Base/HypotenusecosG=FG/EGcosG=2/4cosG=1/2cosG=cos60G=60°

please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)





(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________

(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)

Answers

Answer:

a)

[tex] \frac{2}{5} [/tex]

b)

Step-by-step explanation:

slope formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{4 - 9}{ - 2 - 8} [/tex]

=

[tex] \frac{2}{5} [/tex]

b) using point (-2,4)

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]

Now distribute

[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]

add 4 to each side

[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]

can use the other point given if you want

help________________​

Answers

Answer:

302cm³

Step-by-step explanation:

The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)

Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]

Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)

We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]

Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]

Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)

That is the answer

- Kan Academy Advance

GIVING BRAINLIEST!!!!!

Answers

Answer:

135

Step-by-step explanation:

All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135

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