Mia is working two summer jobs, making $18 per hour lifeguarding and making $10 per hour washing cars. In a given week, she can work at most 13 total hours and must earn a minimum of $180. If xx represents the number of hours lifeguarding and yy represents the number of hours washing cars, write and solve a system of inequalities graphically and determine one possible solution.

Answer: [tex]\overline{AC}=[/tex] 12.5

Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.

Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:

[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]

[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]

[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)

Substituting (2) into (1):

[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]

We want to find f, so:

[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]

[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]

f = 7.5

The length of [tex]\overline{AC}[/tex] is

[tex]\overline{AC}=f+5[/tex]

[tex]\overline{AC}=7.5+5[/tex]

[tex]\overline{AC}=12.5[/tex]

The length of the hypotenuse of triangle ABC is 12.5 units.

Answer:

x = 20

Step-by-step explanation:

Answer:

-1

Step-by-step explanation: hope this helps

Answer:

y = 18

Step-by-step explanation:

30² = 24²  + y²

900 = 576 + y²

y = [tex]\sqrt{324}[/tex]

y = 18

Answer:

error

Step-by-step explanation:

Answer: The rate of change = 2

✔️The rate of change is increasing because the value is a positive value.

✔️The rate of change is also constant over 1.5 ≤ x ≤ 3 since the line is straight.

Step-by-step explanation:

Answer:

[tex]0.6875[/tex]  OR:  [tex]0.7[/tex]

Step-by-step explanation:

[tex]0.6875\\0.688\\0.69\\0.7[/tex]

Answer:

$14 9/10

Step-by-step explanation:

Ruby had 30 dollars to spend on 3 gifts. She spent 9 7 10 dollars on gift A and 5 2 5 dollars on gift B. How much money did she have left for gift C?

From the above question,

$30 = Gift A + Gift B + Gift C

She spent 9 7/ 10 dollars on gift A and 5 2/5 dollars on gift B.

$30 = $9 7/10 + $5 2/5 + Gift C

Gift C = $30 - ( $9 7/10 + $5 2/5)

Lowest Common Denominator = 10

Gift C = $30 - $14+(7 + 4/10)

Gift C = $30 - $14+(7 + 4/10)

Gift C = $30 - $14+(11/10)

$30 - $14+(1 1/10)

$30 - $15 1/10

Gift C = $14 9/10

Therefore, the amount of money she had left for gift C is $14 9/10

Step-by-step explanation:

the first one if you are solving for x it will be x=21-8y

if you are solving for y it will be y =21/8 - x/8

the second one will be if you are solving for x  x = 2 -5y/3

solving for y is y=6/5-3x/5

Answer:

5000 Pounds

Step-by-step explanation:

I'm pretty sure this is the answer if not I'm honestly sorry.

Answer:

5512 lbs

Step-by-step explanation:

Answer:

as decimal = 2

as fraction = 1/2

Answer:

n-2

Step-by-step explanation:

N sides polygon has n-2 triangles

Answer:

1. 234.57

2.150.79

3. too lazy... lol sorry

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because its rellevant :)

Answer:

B

Step-by-step explanation:

Complex fraction.

Hope this helped!

Answer:

its the second option thats the answer

Answer:

prokololoy

Step-by-step explanation:

mag aral ka kase wag puro ml

Answer:

1.) -9

2.) 1/3 or 0.3

5.) 4

6.) 2.9

Step-by-step explanation:

Answer:

80.95

Step-by-step explanation:

Percentage increase = [tex]\frac{New Value - Old Value}{Old Value}[/tex] *100

=> (38-21)* 100/21 = 80.9523%

The answer round it to the nearest 100th = 80.95%

Answer:

x = 4

Step-by-step explanation:

the given figure is of an isoceles triangle.

The two angles opposite are congruent(i.e78 degrees) .

That is the sides opposite to them are also congruent.

I. e 4x + 23 = 10x - 1

I. e 4x - 10x = -1 -23

I. e -6x = -24

I. e -x. = -24/6

Dividing by 6 to 24 we get,

-x = -4

therefore by removing the minus sign from both the sides,

the answer comes x = 4

Answer:

no

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

D=m/v

D=20kg/5m3

D=4kg/m3

A

Answer:

2400

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

240*10=2400

Answer: x= 11.15

Step-by-step explanation:

Explanation is in the photo attached

Step-by-step explanation:

33 / 12: 2.75$ per pound

2.75m = c

2.75(12) = c

33 = c

Which is correct

Hi there!

Step By Step:

We know that 215 pounds are about 215 strawberries since every strawberry are about 1 pound.

Let think about this... 215 pounds are 215 strawberries.

If his brother ate 56 of the strawberries, it means that his brother ate 56 pounds of the strawberry.

We can also think like this... 56/215

Final Result: 56 pound sof strawberries.

Answer:2/6 i might be wrong but whats the answer choices?

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can see that (0,4) and (1,1) are points on the line. Use their coordinates to determine the slope of the line.

slope = (difference of y-coordinates)/(difference of x-coordinates)

= (1-4)/(1-0)

= -3

Answer:

Using the slope-intercept form, the slope is 2 .

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

go to calculator.net

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

There is an alternate angle, which would make the other angle on the same horizontal line as x 120 degrees, thus leaving 60 degrees.

-14

is the first one, remember 1- (-15) is like 1-15 but the you put the - on the14 so you get-14, hope this helped

Answer:

50 adults and 250 students tickets were sold

Step-by-step explanation:

Given data

Let the number of adults be x and students be y

3x+2y=650------1

x+y= 300---------2

from 2

x= 300-y

put the value of x in 1

3(300-y)+2y= 650

900-3y+2y= 650

900-y= 650

900-650= y

y=250

put the value of y in 2

x+250= 300

x= 300-250

x= 50

Hence 50 adults and 250 students tickets were sold