josh earns $415 a week plus 3% commision on any sales he makes. in a particular week, he gets paid $600. how much did he make in sales?

Answer:

(13.5,-46.5)

Step-by-step explanation:

Since equation 2 is missing y, then x is a constant

-2x + 61 = 34

-2x = 34 - 61

-2x = -27

x = 13.5

Then plug x into the 1st

5x + y = 21

5 * (13.5) + y = 21

67.5 + Y = 21

y = 21 - 67.5

y = -46.5

So the point satisfying both equations is (13.5,-46.5)

Answer:

(0, -2)

(-3, 1)

(3, -4)

Step-by-step explanation:

The constraints given as;

x + y ≥ -2

3x - y ≤ 2

x - y ≥ -4

Since we want to find vertices of the feasible region, we will ignore the less than or greater than sign and use the equal to sign to some simultaneously.

Let's add first and third constraint together to get;

2x = -6

x = -6/2

x = - 3

Put - 3 for x in equation 1 to get;

-3 + y = -2

y = 3 - 2

y = 1

Thus, vertex here is; (-3, 1)

Lets add first and third equations to get;

4x + 0 = 0

Thus, x = 0

Putting this for x in eq 1;

0 + y = -2

y = -2

vertex here is; (0, -2)

Lets subtract eq 3 from eq 2 to get;

2x = 6

x = 6/2

x = 3

Put 3 for x in eq 3;

x - y = -4

vertex here is; (3, -4)

Answer:

Where I can't see the pattern made from sticks?

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

Answer:

not enough information

Answer:

A (-6, 0) (-2, 0), and (0,0)

Step-by-step explanation:

just took quiz on this

Answer:

Linear pairs add up to 180°

1st angle = x

2nd angle = x+24 (24° more than the first)

The equation would be

1st angle + second angle = 180 Subbing in the expressions we came up with:

x+x+24 = 180

Answer:

Solution given;

Cos (x-[tex]\frac{5}{6}[/tex])=[tex]\frac{\sqrt{2} }{2}[/tex]

Cos (x-[tex]\frac{5}{6}[/tex])=Cos45°

equating corresponding value

(x-[tex]\frac{5}{6}[/tex])=45°

x=45°+5/6

x=45.83°

If [tex]P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0[/tex] is divided by [tex](x-a)[/tex], then [tex]P(x) = (x-a) \cdot Q(x) + R(x)[/tex] for some polynomials [tex]Q,R[/tex]. Moreover, [tex]\deg R < 1[/tex] (because [tex]\deg (x-a) = 1[/tex]), so there exists  [tex]\alpha \in \mathbb{R}[/tex] such that [tex]R(x) = \alpha[/tex] for all [tex]x \in \mathbb{R}[/tex]. But if we calculate [tex]P(a)[/tex], it turns out that [tex]P(a) = (a-a)\cdot Q(a) + \alpha[/tex], so [tex]R(x) = \alpha = P(a)[/tex]. [tex]\blacksquare[/tex]

Answer:

C

Step-by-step explanation:

The cylinder would show an ellipse when cut diagonally. Please Brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS.

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer:

x = 126

Step-by-step explanation:

The angles are complementary which means they sum to 180

x+54 =180

x = 180-54

x = 126

[tex]\\ \sf\longmapsto 3x-4=x-8[/tex]

[tex]\\ \sf\longmapsto 3x-x=8+4[/tex]

[tex]\\ \sf\longmapsto 2x=12[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{12}{2}[/tex]

[tex]\\ \sf\longmapsto x=6[/tex]

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

Answer:

-15,-5,0,10,25

Step-by-step explanation:

Answer:

prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..

all odd numbers have prime factors but not all prime factors are odd numbers

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=3[/tex]

[tex]\\ \rm\Rrightarrow x=2(3)[/tex]

[tex]\\ \rm\Rrightarrow x=6[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}+1=3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}=3-1=2[/tex]

[tex]\\ \rm\Rrightarrow y=2(2)[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

Answer:

x=6 y=4

Step-by-step explanation:

Equating corresponding terms , we get

x/2=3

or, x=6

Also,

y/2+1=3

or, (y+2/2)=3

or, y+2=6

or, y=6-2

y=4

Therefore, x=6 and y=4.

Answer:

b. The science students

Step-by-step explanation:

If you count the dots, they are the same for both class (9 people) but the range of the science students' scores are higher than the range for the math students, which means that the sum of their scores will be larger than the math students' and since they have the same number of people, the number being divided for the average would be the same, so the science students' average would be greater than the math's.

I hope this helped! ;D

Answer:

20.66 cm^2

Step-by-step explanation:

area =1/2 AxB sine C

=1/2 x11x8 x sine 152

=11x4x0.46947156279

20.65674876258 cm^2

=20.6567cm^2

rounding it to the nearest hundredth we get,

20.66 cm^2

Answer:

15

Step-by-step explanation:

Use the distance formula

d = distance

[tex]d=\sqrt{(10-1)^2 + (-4 - (8))^2\\[/tex]

Solve the equation to get the following:

[tex]d=\sqrt{9^2 + (-12)^2}[/tex]

[tex]d = \sqrt{81+144[/tex]

[tex]d=\sqrt{225[/tex]

[tex]d = \sqrt{15[/tex]

Answer:

-7 = y

Step-by-step explanation:

3x=y-5

Let x = -4

3(-4) = y-5

-12 = y-5

Add 5 to each side

-12 +5 = y-5+5

-7 = y

Answer:

209/50 is the improper fraction of 4.18

mixed no. is 4 9/50

Answer:

The best option would be the second one.

Step-by-step explanation:

This is the only option that shows that x can only be greater than -8. The circled dot means x cannot be the number the dot is sitting on, in this case, -8.

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

Answer:

Greatest number is 65432

Lowest number is 23456

Step-by-step explanation:

[tex]65432+23456=88888[/tex]

Answer:

G = 140

Step-by-step explanation:

Linear pairs add to 180

H+G = 180

40+G = 180

G = 180-40

G = 140

Answer:

7.9 L

Step-by-step explanation:

Juice dispensed in 1 second=0.1 L

Juice dispensed in 36 seconds=3.6 L

Juice left=11.5-3.6=7.9 L