All categories

3 years ago

2y = 4x + 8 4y = 4x + 20

2 answers:

8 0

2y = 4x + 8

Multiply 2 to both sides

(2)2y = 2(4x + 8)
4y = 8x + 16

Plug in 8x + 16 for 4y.

8x + 16 = 4x + 20

Isolate the x, subtract 4x from both sides and 16 from both sides

8x (-4x) + 16 (-16) = 4x (-4x) + 20 (-16)

8x - 4x = 20 - 16

4x = 4

divide 4 x from both sides to isolate the x

4x/4 = 4/4

x = 4/4

x = 1

Plug in 1 for x in one of the equations

2y = 4(1) + 8
2y = 4 + 8
2y = 12

isolate the y, divide 2 from both sides

2y/2 = 12/2

y= 12/2
y = 6

x = 1, y = 6 is your answer

hope this helps

mars1129 [50]3 years ago

6 0

2y = 4x + 8 ------> y = 2x + 4
4y = 4x + 20 ------> y = x+5

2x+4 =x+5
x = 1
y=x+5=1+5=6

Check:
2*6 = 4*1 + 8 , 12 =12
4*6 = 4*1 + 20, 24 =24

x=1,y=6
(1,6)

You might be interested in

I need help on solving M4n3(-mn)4

Andreas93 [3]

M⁴n³(-mn)⁴
m⁴n³(-m⁴n⁴)
-m⁸n⁷

3 0

4 years ago

In △MNK MN = NK, m∠N = 110º, MK = 5. Find MN.

alexgriva [62]

Answer:

MN = 3.03 ≈ 3

Step-by-step explanation:

Given: In ΔMNK MN = NK , m∠N = 110° and MK = 5.

To find: MN = ?

Sol: In ΔMNK,

∠M + ∠N + ∠K = 180° (sum of angles of a triangle)

2∠M = 180° - 110° ( ∠M =∠K since MN = MK)

∠M = 70°/2 = 35°

∴ ∠M = ∠K = 35°

Now, Using Sine Rule for finding sides,

$\frac{m}{sinM} = \frac{n}{sinN} = \frac{k}{SinK}$

$\frac{k}{sinK} = \frac{n}{sinN}$

$\frac{5}{sin 110^{\circ}} = \frac{k}{sin 35^{\circ}}$

$k = \frac{5 sin 35^{\circ}}{sin 110^{\circ}}$

Now ∵ sin 35° = 0.57 and sin 110° = 0.94 approx.

By substituting these values in above expression,

$k = \frac{5 \times 0.57}{0.94}$

k = $\frac{2.85}{0.94}$

k = 3.03

Therefore, MN = 3 approx.

8 0

3 years ago

Lenny bought a motorcycle. he paid 12.5% in tax. the tax added $1437.50 to the price of the motorcycle. what was the price of th

Lyrx [107]

In order to calculate the initial price of the motorcycle, we use the formula:
Total item price=(Item price*tax rate)+item price.
Rearranging the equation to solve for the unknown:
Item price=total item price/Tax rate.
Substituting the real values into the formula:
Item cost=1,437/12.5%. The result of this equation determines that the original price of the motorcycle (not including tax) is:
$11,496-$1,437=$10,059

6 0

3 years ago

Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental c

Elina [12.6K]

Answer:

$t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058$

The degrees of freedom are:

$df=8+9-2=15$

And the p value would be:

$p_v =P(t_{15}>2.058) =0.0287$

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are signiﬁcantly higher than those in Dallas

Step-by-step explanation:

Data given

$n_1 =8$ represent the sample size for group Boston