? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)​

Answers

Answer 1

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's (4,5)

Hope this helps! :)


Related Questions

how to solve 3^8 times 3^2

Answers

8x8x8x6= 3,072 ? if i remember doing that right ig lol

Answer:

3072 that what I known as a 10th grader

What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)

Answers

Answer:[tex]3^1^1\\[/tex]

Step-by-step explanation:

[tex]\frac{81^4}{3^5}[/tex]

[tex]\frac{3^1^6}{3^5}[/tex]

The base is same power can be add or subtract

[tex]3^1^6^-^5[/tex]

[tex]3^1^1[/tex]

Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.

Answers

The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+i is a root, so 6-i is also a root.

So the simplest polynomial you can build with these roots is

(x - (-5)) (x - (6 + i )) (x - (6 - i )) = x ^3 - 7x ^2 - 23x + 185

(first choice)

You kick a 3.2 kg ball with a Force of 61 N. Find the acceleration of the
ball in m/s2. Round your answer to 1 decimal place.

Answers

Answer:

[tex]19.4 ms^{-2}[/tex]

Step-by-step explanation:

Newton second law: [tex]\vec F= m\vec a[/tex] We know the force, we know the mass, we can substitute and find the acceleration, which is [tex]61/3.2 = 19.4 ms^{-2}[/tex]

help please asap just the answers

a = 2 ; b = −1 and c = −3​

Answers

Solution for above question :

The values are :

[tex]a = 2[/tex]

[tex]b = - 1[/tex]

[tex]c = - 3[/tex]

let's plug the values :

[tex] {c}^{2} + 5ab[/tex]

[tex]( - 3) {}^{2} + (5 \times 2 \times - 1)[/tex]

[tex]9 - 10[/tex]

[tex]-1[/tex]

Therfore, correct answer is :

[tex] \large - 1[/tex]

[tex]\mathfrak{good \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

9.) Detemine the value of [tex] \sf{ {c}^{2} + 5ab.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{c}^{2} + 5ab}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{( - 3)}^{2} + 5( 2)( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶9+ 5( 2)( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶9+ 10( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶9 - 10 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ -1}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{-1}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

y is proportional
to x
y = 72 when x = 12
Write a direct
proportion
equation.
A. y = 12x
B. y = 6x
C. 72x = 12
D. 7 x 12 = y

Answers

Answer:

B :) (im sure btw)

Step-by-step explanation:

10 points!!!!! Do 14 and 15 only hurry please.

Answers

Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

GivenDEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

GivenDEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

Answer:

14. 13x+5x

=18x

180(angles on a st. line)= 18x

180/18

=10

RSU=13*10=130

UST=5*10=50

Geometric stuff and please explain

Answers

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

The radius of a cylinder of volume 2970cm³ is 30mm. Find the volume of a similar cylinder of radius 40mm.

Answers

34.3 cm3

if you use formula    

30mm 2970cm3

x-x un^3

Express 60g as a percentage of 3kg?

Answers

Answer:

2%

60/3000g= ?/100

60×100/3000=2

Pls don’t have much time

Answers

Answer:

the answer is b

Step-by-step explanation:

35 occurs the most on the graph meaning that it's the mode

The correct answer is b
35

Find the distance between the points (-6, -8) and (6, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answers

Answer:

[tex]\displaystyle d = 13[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, -8)

Point (6, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(6- -6)^2+(-3- -8)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{12^2+5^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{144+25}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{169}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 13[/tex]

How do you graph x ≤ 5 on a number line? pls help!

Answers

Answer:

From 5, the arrow would be facing left and the dot on 5 would be closed

Step-by-step explanation:

Hope this helps

harleys house has a value of £160000 correct to 2 significant figures
write down the least possible value of the house
write down the greatest possible value of the house

Answers

Answer:

155,000

159,999

Step-by-step explanation:

In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit

e.g. Rounding off 10,999 to the nearest thousand is 11,000

In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9

What is the product?
(-20d^2+s)(5d^2-6s)

Answers

Answer:

-100d⁴ + 125d²s - 6s²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

(-20d² + s)(5d² - 6s)

Step 2: Expand

FOIL:                                                                                                                  -100d⁴ + 120d²s + 5d²s - 6s²[Addition] Combine like terms:                                                                        -100d⁴ + 125d²s - 6s²

Bari Jay, a gown manufacturer, received an order for prom dresses from China. Her cost is $32 a gown. If her markup based on selling price is 76%, what is the selling price of each gown? (Round your answer to the nearest cent.)

Answers

Answer:

$56.32

Step-by-step explanation:

Find the selling price by multiplying the original cost by 1.76:

32(1.76)

= 56.32

So, the selling price is $56.32

32% of the days in a year the wind blows south.About how many days does the wind blows south?

Answers

Answer:

116 days because 32 percent of 365 is 116

I think the answer is 116 days. 117 if it asks you to round. Hope this helps!

HELP I HAVE 10 MINS

If AB and CD have endpoints at A(- 1,3), B(6,8), C(4, 10) and D(9,3), are AB and CD parallel,
perpendicular, or neither? Explain.

Answers

Answer:

perpendicular

Please help I’ll give brainliest

Answers

Answer:

The answer for this question is 3

Answer:

i believe its 2 but i could be wrong

Step-by-step explanation:

im sorry if i am

Graph a line with y- intercept of 5 and gradient of -10/3

Answers

Step-by-step explanation:

the equation is:

y= -10/3 x +5

the graph as attached

Equation of a line is y = 2x + 5

a) what is the gradient?

b)what is y- intercepted?

c) if the gradient is -3 and y-intercept is 1,then what is the equation of the line?

Answers

Answer:

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and g is y intercept

a) The gradient is the slope and we have the value as 2

b) The y-intercept here is 5

c) for slope -3 and intercept 1, the equation becomes

y = -3x + 1

Solve for x.
3x +13

6x + 5
x = [?]

Answers

Answer:

nessa resposta da 10 beijos

Answer:

x = 18

Step-by-step explanation:

The given angles are same- side exterior angles and sum to 180°, that is

6x + 5 + 3x + 13 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

ASAP 30 POINTS BRAINLIEST IF RIGHT

Answers

Answer:

answer in the link below if you have any questions let me know

Answer:

≈ 0.14

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [a, b ] = [ - 1, 3 ] , then

f(b) = f(3) = [tex]\sqrt[3]{3+3}[/tex] = [tex]\sqrt[3]{6}[/tex] ≈ 1.817

f(a) = f(- 1) = [tex]\sqrt[3]{-1+3}[/tex] = [tex]\sqrt[3]{2}[/tex] ≈ 1.260 , then

average rate of change = [tex]\frac{1.817-1.260}{3-(-1)}[/tex] = [tex]\frac{0.557}{4}[/tex] ≈ 0.14 ( to the nearest hundredth )

Identify the coefficients in this expression 4+3×+5×​

Answers

Answer:

8

Step-by-step explanation:

4 + 3x + 5x

= 4 + 8x

Hence, coefficient of x is 8 (Ans)

What is the value of 2 + (-2/3) ^2 ÷1/3 ?

16
3
-2
0

.

Answers

10/3 is the right answer

Answer:

Doing the test rn got 3 1/3 i dont know if u should trust me but just try

Step-by-step explanation:

Flying against the wind, an airplane travels 3800 kilometers in 4 hours. Flying with the wind, the same plane travels 3750 kilometers in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

[tex]V_w =1100[/tex] ---- velocity of wind

[tex]V_a = 150[/tex] --- velocity of airplane

Step-by-step explanation:

Given

[tex]V_a \to[/tex] velocity of airplane

[tex]V_w \to[/tex] velocity of wind

Flying with the wind, the distance (d) is:

[tex]d = (V_w + V_a) * t[/tex]

Where d and t are distance travel and time spent with the wind

So:

[tex]3750 = (V_w + V_a) * 3[/tex]

Divide by 3

[tex]1250 = (V_w + V_a)[/tex]

Flying against the wind, the distance (d) is:

[tex]d = (V_w - V_a) * t[/tex]

Where d and t are distance travel and time against with the wind

So:

[tex]3800 = (V_w - V_a) * 4[/tex]

Divide by 4

[tex]950 = (V_w - V_a)[/tex]

Make [tex]V_w[/tex] the subject

[tex]V_w= 950 + V_a[/tex]

Substitute: [tex]V_w= 950 + V_a[/tex] in [tex]1250 = (V_w + V_a)[/tex]

[tex]1250 = 950 + V_a + V_a[/tex]

[tex]1250 = 950 + 2V_a[/tex]

Collect like terms

[tex]2V_a = 1250 -950[/tex]

[tex]2V_a = 300[/tex]

Divide by 2

[tex]V_a = 150[/tex]

Substitute [tex]V_a = 150[/tex] in [tex]V_w= 950 + V_a[/tex]

[tex]V_w =950 +150[/tex]

[tex]V_w =1100[/tex]

What is the answer for this

Answers

Answer:

A

Step-by-step explanation:

The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.

Cameron drives a semi-truck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives. If Cameron drove 827.4 miles on his last route, how much money did he earn?

Answers

Answer:

$372.33

Step-by-step explanation:

For 1 mile= $0.45

For 827.4 miles = $0.45 x 827.4

= $372.33

b(1)=−7
b(n)=b(n−1)+12 ​

Find the 4th term in the sequence.

Answers

Answer:

4th term = 29

to generate the terms, substitute n = 2, 3, 4 into the rule

noting that b(1) = - 7

b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5

b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17

b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29

Josie is purchasing a $75 appliance for her kitchen. She has three coupons to the store that she can choose from. Which is a true statement about Josie’s options?

Answers

Answer:

where are the answer choices?

Step-by-step explanation:

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