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3 years ago

How do you solve this 8x+y=-16 , -3x+y=-5 using elimination

1 answer:

7 0

$\left \{ {{8x+y=-16} \atop {-3x+y=-5\ |\cdot-1}} \right. \\\\ \left \{ {{8x+y=-16} \atop {3x-y=5}} \right. \\+-----\\\\11x=-11\ \ \ \ |:11\\x=-1\\\\8\cdot(-1)+y=-16\\-8+y=-16\\y=-16+8\\y=-8\\\\ \left \{ {{y=-8} \atop {x=-1}} \right.$

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Sandi works for Elizabeth Arden Cosmetics and earns $500 per week salary plus 4% commission on sales over $2,000. If Sandi sold

BARSIC [14]

With the total sales of $2,733, the sales over $2,000 is $733. The commission she will receive is equal to the product of $733 and the decimal equivalent of the commission. That is,
commission = (0.04)($733)
commission = $29.32
The total compensation she will receive is the summation of the commission and weekly salary.
total compensation = $29.32 + $500
 total compensation = $529.32

This week, Sandi will receive a total compensation of $529.32.

5 0

3 years ago

Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and

natka813 [3]

Answer:

384 cm²

Step-by-step explanation:

Property of rhombus :

Diagonals of rhombus bisect each other and are perpendicular to each other

Given :

Rhombus ABCD and its diagonals AC and BD bisect each other at O
AC ⊥ BD
AB = BC = CD = DA = 20 cm
AC = 24 cm

Solving :

Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.

2 × 1/2 × OB × AC
24 × OB
24 × √AB² - AO²
24 × √20² - (AC/2)²
24 × √400 - 144
24 × √256
24 × 16
384 cm²

6 0

2 years ago

In a certain Algebra 2 class of 28 students, 14 of them play basketball and 19 of them

erastova [34]

Answer:

13/28

Step-by-step explanation:

Total number of students = 28

Number of students that play basketball = 14

Number of students that play baseball = 19

Number that play neither sport = 5

Number of students playing sports = 28 – 5 = 23

Number of students playing both basketball and baseball = 14 + 19 – 23 = 10

Number of students that play only basketball = 14 – 10 = 4

Number of students that play only baseball = 19 – 10 = 9

Number of students playing basketball or baseball = 4 + 9 = 13

P(a student chosen at random plays basketball or baseball) = 13/28

5 0

3 years ago

Can someone answer these two I am not understanding my math Algebra 1

sergey [27]

Answer:

1 = A. 2 = C

Step-by-step explanation:

the slope of the graphs have to be the dots that are on the x and go through the y.Hopefully i simplified what you had to do

8 0

3 years ago

Read 2 more answers

Find Exact Answers, Show your work. BRANLIEST ASAP!! THANK YOU

4vir4ik [10]

$$\cos\theta=\frac{\text{5}}{\text{13}}, \ \sin\theta=\frac{\text{12}}{13}, \ \tan\theta=\frac{\text{12}}{\text{5}}$

$$\sec\theta=\frac{\text{13}}{\text{5}},\ \csc \theta=\frac{\text{13}}{\text{12}} , \ \cot \theta=\frac{\text{5}}{\text{12}}$

Solution:

Given triangle is a right triangle.

Base = 5, Hypotenuse = 13, Height = ?

Height (h) = opposite

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

$5^2+h^2=13^2$

$25+h^2=169$

$h^2=144$

Taking square root on both sides.

h = 12

$$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}$

$$\cos\theta=\frac{\text{5}}{\text{13}}$

$$\sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$$\sin\theta=\frac{\text{12}}{13}$

$$\tan\theta=\frac{\text{Opposite}}{\text{Base}}$

$$\tan\theta=\frac{\text{12}}{\text{5}}$

$$\sec\theta=\frac{\text{Hypotenuse}}{\text{Base }}$

$$\sec\theta=\frac{\text{13}}{\text{5}}$

$$\csc \theta=\frac{\text{Hypotenuse}}{\text{Opposite }}$

$$\csc \theta=\frac{\text{13}}{\text{12}}$

$$\cot \theta=\frac{\text{Base }}{\text{Opposite}}$

$$\cot \theta=\frac{\text{5}}{\text{12}}$

6 0

4 years ago