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2 years ago

What is the value of z in the equation 10z + 15 = -5

Mathematics

1 answer:

lesantik [10]2 years ago

6 0

Answer:

Z = 2

Step-by-step explanation:

10z+15=-5

subtract 15 from both sides

10z=-20

divide both sides by 10, leaving z by itself.

20 divided by ten is 2

so z =2

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If 8x = 24, then 24= 8x what property is this

yarga [219]

Answer:

it is transitive property

as, a=b

also, b=a

Step-by-step explanation:

5 0

2 years ago

The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all

katovenus [111]

Answer:

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

12% ⇔ $9000

then

100% ⇔x

the ratio is

$\frac{12}{9000}=\frac{100}{x}\\$

Now, solve for x

$\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\$

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is $\frac{75000}{price\ of\ the\ car} \\$

$\frac{75000}{price\ of\ the\ car} \\$

now, price of the car* number of the car = 75000

where

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Have a nice day

6 0

3 years ago

The number y of deer in a county after x years can be modeled by y=0.75x^2 + 10.5x + 1300. When were there about 2000 deer? Roun

Lemur [1.5K]

Answer:

24 years

Step-by-step explanation:

We are told that the model of number of deers is;

y = 0.75x² + 10.5x + 1300

Where;

y represents number of deers

x represents number of years

Now, we want to find how many years it will take to get to 2000 deers.

Thus;

2000 = 0.75x² + 10.5x + 1300

0.75x² + 10.5x + 1300 - 2000 = 0

0.75x² + 10.5x - 700 = 0

Using quadratic formula, we have;

x = [-b ± √(b² - 4ac)]/2a

x = [-10.5 ± √(10.5²- (4*0.75*-700)]/(2*0.75)

x = [-10.5 ± √(110.25 + 2100)]/(1.5)

x = [-10.5 ± √2210.25]/(1.5)

x ≈ -38 or 24

Number of years can't be negative, so we will take the positive value.

So, x = 24 years

3 0

2 years ago

ALL THE POINTS!! (01.01 LC) What is the rational number equivalent to 3 point 12 with a bar over 12? (1 point) 3 and 4 over 33 3

saul85 [17]

Answer:

A is the answer

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

your friend's house is 7.5 miles north and 10 miles west of the zoo. How far is your friend's house from the zoo?

maria [59]

Answer:

2.5 miles

Step-by-step explanation:

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2 years ago