All categories

2 years ago

Help please i need it bad

Mathematics

1 answer:

evablogger [386]2 years ago

5 0

Answer:

-13, -3

15, 2.6

Step-by-step explanation:

x, y are the numbers

x = 5y + 2

x×y = 39

(5y + 2)×y = 39

5y² + 2y - 39 = 0

the solution of a quadratic equation :

y = (-b ± sqrt(b² - 4ac))/2a

a = 5

b = 2

c = -39

y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =

= (-2 ± sqrt(4 + 780))/10 =

= (-2 ± sqrt(784))/10 = (-2 ± 28)/10

y1 = (-2 + 28)/10 = 26/10 = 2.6

y2 = (-2 - 28)/10 = -30/10 = -3

x1 = 5×2.6 + 2 = 13 + 2 = 15

x2 = 5×-3 + 2 = -15 + 2 = -13

You might be interested in

AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha

ra1l [238]

Answer:

Therefore the lengths of the opposite side pairs.

C) 18, 9

Step-by-step explanation:

Given:

Quadrilateral ABCD is a parallelogram

AB = 6x

DC = x + 15

AD = 9

BC = 3y

TO Find:

AB = ?

BC = ?

Solution:

Quadrilateral ABCD is a parallelogram ..........Given

∴ Both pairs of opposite sides of a Parallelogram are congruent.

∴ AB = DC and AD = BC

substituting the values we get

$6x=x+15\\6x-x=15\\5x=15\\x=\dfrac{15}{5}\\ x=3\\and\\9=3y\\y=\dfrac{9}{3}\\ y=3$

substituting the x' and 'y' values we get

$AB= 6\times 3=18\\and\\BC=3\times 3=9$

Therefore the lengths of the opposite side pairs.

C) 18, 9

3 0

3 years ago

A shirt originally cost $35. It was on sale for $28. What was the percent markdown?

kotykmax [81]

Answer:

The percent markdown is 25%.

Step-by-step explanation:

It got marked down by $7.

7 divided by 35 = 0.25

0.25 x 100 = 25%

3 0

3 years ago

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi

djyliett [7]

Answer:

$C(d) = \frac{1}{5}d + 320$

Step-by-step explanation:

Given

$d \to miles$

$C \to cost$

So:

$(d_1,C_1) = (500,420)$ --- May

$(d_2,C_2) = (620,444)$ --- June

Required

Express as a function

Start by calculating the slope (m)

$m = \frac{\triangle C}{\triangle d}$

$m = \frac{444-420}{620-500}$

$m = \frac{24}{120}$

Simplify

$m = \frac{1}{5}$

The equation is:

$C(d) = m(d - d_1) +C_1$

$C(d) = \frac{1}{5}(d - 500) +420$

$C(d) = \frac{1}{5}d - 100 +420$

Take LCM

$C(d) = \frac{1}{5}d + 320$

6 0

2 years ago

Can someone help me with this

zepelin [54]

Answer:

Step-by-step explanation:

48-3=45

45-4=41

3 0

3 years ago

A class of 24 students went on a picnic. They had a choice between having a turkey sandwich or a vegetarian sandwich. Eighteen s

Alekssandra [29.7K]

I believe it is the ratio 3 : 1.

<u>18 students chose the turkey sandwich</u>.

Since the class has a total of 24 students, we can deduce that <u>6 students chose the vegetarian sandwich</u>.

This gives us a ratio of 18 : 6.

When simplified, we get a ratio of 3 : 1.

5 0

3 years ago