Which equation is equivalent to

Answer:

Step-by-step explanation:

Given the system of equations -4x - 5y = 5  and -0.08x + 0.10y = 0.10, to know the number of solutions the system of equation has, we need to solve for the values of x and y if possible.

-4x - 5y = 5... 1

-0.08x + 0.10y = 0.10... 2

Multiplying equation 2 by 100 will give -8x+10y = 10

The resulting system of equation will be;

-4x - 5y = 5 ...3 * 8

-8x + 10y = 10... 4 * 4

Using the elimination method to solve the equation, multiplying eqn 3 by 8 and eqn 4 by 4 we have;

-32x-40y = 40

-32x+40y = 40

Subtracting both resulting equations to eliminate x will give;

-40y-40y = 0

-80y = 0

y = 0

Substituting y = 0 into equation 3 to get x we have;

-4x-5(0) = 5

-4x = 5

x = -5/4

The solution to the system of equations is (0, -5/4). This shows that the system of equations only has one solution

Answer:

usas la sustitución para resolver esto

Step-by-step explanation:

Restar y

de ambos lados de la ecuación.

x = 7 − y

x − y = 1

Reemplazar todas las apariciones de x

en x − y = 1 con 7 − y

.

x = 7 − y

(7 − y) −y = 1

Restar y

de −y

.

x = 7 − y

7−2y = 1

Resuelve por y

en la segunda ecuación

x = 7 − y

y = 3

Reemplazar todas las ocurrencias de y

en x = 7 − y con 3

.

x = 7− (3)

y = 3

Simplifica 7− (3)

x = 4

y = 3

La solución al sistema de ecuaciones se puede representar como un punto.

(4,3)

El resultado se puede mostrar en múltiples formas.

Forma de punto:

(4,3)

Formulario de ecuación:

x = 4, y = 3

espero que esto ayude :)

Answer:

19) x=-3, 20) a=1, 21) b=3, 22) x=8

Step-by-step explanation:

hope that helps, those are the answeres to each question. :)))

Answer:

Step-by-step explanation:

Answer: 26.4 ft.

Step-by-step explanation: To find the numerical value of 8 meters in feet you need to use unit multipliers. In this case, you need to multiply 8 meters by 3.3 ft / 1 meter. This would cancel out the meters, making the unit feet. 8*3.3 = 26.4, so the answer is 26.4 ft.

Answer:

x=-13/2=-6 1/2

Step-by-step explanation:

13 3/4 +x-7 1/4=

6 2/4+x

x= -6 1/2

Answer:

x=-13/2=-6 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x) = \frac{2x}{3x^2 - 3} \\\\ Domain: \\ 3x^2 - 3 ≠ 0 \\ 3x^2 ≠ 3 \\ x^2 ≠ 1 \\ x ≠ \pm 1[/tex]

D = {x E R/ x ≠ 1 and x ≠ - 1}

I Hope I've helped you.

Answer:all real numbers except -1 and 1

Step-by-step explanation:

End behavior -The graph approach 0 as x approaches negative infinity

Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

Answer:

[tex]6 \times 2 + 2 \times 2 = 28 \\ \\ 6 \times 3 \times 2 = 36 \\ \\ 3 \times 4 \times 2 = 24 \\ \\ 28 + 36 + 24 = 88cm {}^{2} [/tex]

Answer:

[tex]5^{11}/5^5[/tex]

Step-by-step explanation:

[tex]5^{11}/5^5=5^6[/tex]

[tex]5^6/5^1=5^5[/tex]

[tex]5^1/5^{16}=5^{-15}[/tex]

[tex]5^{11}/5^{-5}=5^{16}[/tex]

Answer:

[tex]x = \frac{4y - 9}{5} [/tex]

[tex] \frac{5}{4x} + \frac{9}{4} = y \\ \frac{5}{4x} = y - \frac{9}{4} \\ \frac{5}{4} over \frac{5}{4x} = \frac{y - \frac{9}{4} }{5 \frac{}{4} } \\ x = \frac{4y - 9}{5} [/tex]

Answer:

Step-by-step explanation:

[tex]y= 5/4x+9/4\\ (-8,7).\\\\m = \frac{5}{4} \\\\Perpendicular =m= \frac{1}{m2}\\\ 5/4 = -4/5\\substitute : (-8,7)-into slope -intercept -form\\ \\y =mx+b\\7=\frac{-4}{5}(-8)+b\\\\7 = \frac{32}{5} +b\\\\b=7-32/5\\b = 3/5\\m =-4/5\\substitute-into-slope-intercept-form\\y = mx+b\\y = -\frac{4}{5} x+\frac{3}{5}\\[/tex]

Answer:

x=(k-14)/5

Step-by-step explanation:

subtract 14 to get

5x=k-14

Then divide by 5 to get

x=(k-14)/5

:D

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer:

They must sell 40 shirts to break even

Step-by-step explanation:

The break-even point is that point where the cost and revenue graphs intersect.

Up front,

expenditures are $280 + ($3.99)t, and this is to be set equal to revenue:  ($10.99)t:

[tex](\$ 10.99)t = \$ 280 + (\$ 3.99)t.[/tex]

Begin solving this by subtracting ($3.99)t from both sides of this equation.  The result is

[tex](\$ 10.99-\$ 3.99t)t = \$ 280 + (\$ 3.99t - \$ 3.99t)[/tex]

[tex]\$ 7t=\$ 280t[/tex]

($7/shirt)t = $280.

Dividing both sides by ($7/shirt), we get

 [tex]t=\frac{\$ 280}{\$ 7}[/tex]

t = $40

Revenue will equal costs (expenses) when these students have sold 40 shirts.

Therefore,they must sell 40 shirts to break even

Answer:

18

Step-by-step explanation:

the answer is 18 because when you multiply two negative numbers, the result is the same as if the two numbers were positive.

Therefore, -9x-2=9x2=18

Answer:

18

Step-by-step explanation:

(-9)-2

negative times a negtive = positive

9 *2 = 18

Answer:

I think its $6894.21

Step-by-step explanation:

compound interest formula: A= P(1+ r/n)^nt

A= 5000(1+ 0.055/1)^1(6)

A= 6894.21403

A= $6894.21

Answer:29 quarter and 4 nickels

Step-by-step explanation:

7.45= ? Quarters + ? nickles

7(4)+1= 28 quarters

45-25= 20/5 4nickles

Answer:

[tex]\theta=45^\circ[/tex]

Step-by-step explanation:

P is the centre of the circle and:

[tex]\angle P=90^\circ[/tex]

Angle [tex]\theta[/tex] is the angle subtended by the same arc as P at the circumference.

By the Inscribed Angle Theorem, we know that angle subtended by an arc at the centre is twice the angle subtended by the same arc at the circumference.

Therefore:

[tex]\angle P =2\theta\\2\theta=90^\circ\\\theta=90^\circ \div 2\\\theta=45^\circ[/tex]

Answer:

n =55/18

Step-by-step explanation:

18/11 = 5/n

Using cross products

18n = 11*5

18n = 55

Divide each side by 18

18n/18 = 55/18

n =55/18

Answer:

55/18

Step-by-step explanation:

Cross multiplying, we get:

18n = 11 * 5

18n = 55

= 55/18

= 55/18

Hope this helps!

Answer:

a = -4, b = 3, c = 6

Step-by-step explanation:

x² + 8x = 38

(x + 4)² - 16 = 38

(x + 4)² = 54

x + 4 = ± √54

x = -4 ± 3√6

Answer/Step-by-step explanation:

i. No. of hours Martine works per week = 33.5 hours

If she does this for 36weeks in a year, she works the following hours in a year:

33.5 hrs × 36 weeks = 1,206 hours

Rounding of to 1 significant figure (first non-zero digit counting from left to right is the first significant figure) = 1,000 hours

Thus:

33.5 × 36 = 1,000

ii. Martine earns £263 per week, in a year (36 weeks), she'd earn:

263 × 36 = 9,468 ≈ £10,000 (rounded to 1 s.f)

iii. Overtime = £8.35 per hour

To save to pay £900 for a holiday, she needs to do the following number of overtime:

900 ÷ 8.35 = 107.784431 ≈ 100 hours (rounded to 1 s.f)

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

C

Step-by-step explanation:

The y-coordinate is the average of 7 and -1 which is 3. This eliminates options A and D. Option B doesn't make sense since 5 is greater than 3, so that leaves us with option C.

Answer:

C.

Step-by-step explanation:

The midpoint is (3+2)/2 , (7 + -1) / 2)

= (5/2, 6/2)

= (5/2, 3)

Answer:

Option A. is the correct choice.

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables.

The degree of the given monomial   [tex]8ab^3[/tex]   is 1+3=4.

Best Regards!

Answer: x + 12.7 = -25.2 ✓given

x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality

x + 0 = -37.9 ✓ Additive inverse and simplification

x = -37.9 ✓ Identity property

Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?

Answer:

[tex]8x^2+19x+3[/tex]

Step-by-step explanation:

[tex]3x^2+7x+3+5x^2+12x=\\3x^2+5x^2+7x+12x+3=\\8x^2+7x+12x+3=\\8x^2+19x+3[/tex]

Answer:

i did it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that,

ABC is an Isosceles triangle.

In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.

It is als given that D is the mid point of BC.

i.e., BD = CD

Therefore,

By SAS theorem of congruency of triangles,

ABD = ACD

If this is the answer required, hope it helps...

Answer:

19

Step-by-step explanation:

Since these two are vertical angles, their measure must be equal. Therefore:

[tex]3x-3=6(x-10) \\\\3x-3=6x-60 \\\\3x+57=6x \\\\3x=57 \\\\x=19^{\circ}[/tex]

Hope this helps!

Answer:

19

Step-by-step explanation:

The two angles are vertically opposite angles, so they are equal.

3x - 3 = 6 (x - 10)

3x - 3 = 6x - 60

3x - 6x = - 60 + 3

-3x = -57

x = -57/-3

x = 19

Answer:

Congruent Triangles - Two angles and included side (ASA)

Definition: Triangles are congruent if any two angles and their included side are equal in both triangles. ... If any two angles and the included side are the same in both triangles.

Answer: x = -9, y = -6

y = mx + b

2x + 3y = -18

Assuming x = 0

2(0) + 3y = -18

y = -6

Assuming y = 0

2x + 3(0) = -18

x = -9

Answer:

x-intercept = -9

y-intercept = -6

Step-by-step explanation:

The equation is

=> 2x+3y = -18

Finding x-intercept

Let's assume y = 0

The equation becomes

=> 2x = -18

Dividing both sides by 2

=> x = -9

Finding y-intercept:

Let's assume x = 0

The equation becomes

=> 3y = -18

Dividing both sides by 3

=> y = -6

Answer:

She subtracted 3.4 on the left and added 3.40 on the right

Step-by-step explanation:

3.40 + 0.85 x = 5.27

Subtract 3.40 from each side  

3.40 -3.40+ 0.85 x = 5.27-3.40

.85x = 5.27 - 3.40

.85x =1.87

Divide by .85

.85x/.85 =1.87/.85

x = 2.2

Answer:

(C) Carina should have subtracted 3.40 from 5.27.

Step-by-step explanation: