AACB = ADCE
ZA = 3x-10, ZC = 45°, ZD = 2x+10

Answers to the entire test:

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

Divide total seeds by seeds per package:

1960 / 35 = 56

56 packages can be made.

Answer:

75*1.05 = $78.75

Step-by-step explanation:

You can just multiply by 1.05 or go the long route and divide by 100 and multiply by 105.  

Answer:

3,400

Step-by-step explanation:

From the Pythagoras's Theorem, we know that:

(Hypotenuse)² = (base)² + (perpendicular)²

We are Given:

We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)

Solving for the Hypotenuse:

replacing the variables in the Pythagoras's theorem, we get:

Hypotenuse² = (m²-n²)² + (2mn)²

Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²)                  [(a-b)² = a² - 2ab - b²]

Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²

Hypotenuse² = m⁴ + 2m²n² + n⁴

Hypotenuse² = (m²)² + 2m²n² + (n²)²

Hypotenuse² = (m² + n²)²                                              [a² + 2ab + b² = (a+b)²]

taking the square root of both the sides

Hypotenuse = m² + n²

Answer:

1. <

2. >

3. >

4. =

5. <

6. <

7. >

8. >

9. >

10. <

11. >

12. <

13. <

14. =

15. =

16. =

Step-by-step explanation:

Answer: The slope is -7

Step-by-step explanation:

When a line is parallel to another line it means that they will never meet. This requires the slope to be the same, so no matter the line, if it is parallel to a line with a slope of -7, then its slope is also -7.

Answer:

$100

Step-by-step explanation:

The proportion would be [tex]\frac{60}{x} =\frac{60}{100}[/tex]. This is because you are paying for 60% of the original price and 60% is equal to [tex]\frac{60}{100}[/tex].

Answer:

a. 0.071

b. 0.226

C. 0.4849

Step-by-step explanation:

We add up all endangered and foreign species to get 775

A.

Probability of threatened in united States.

= 10+13+22+10 = 55 divided by total species

= 55/775

= 0.070967

= 0.071

B

An endangered foreign bird

Total number of foreign birds = 175

Probability = 175/775

= 0.2258

= 0.226

C.

Please check attachment for the calculation of answer part c.

Thank you!

Answer:

Yes it's B or C

Step-by-step explanation:

Answer:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Step-by-step explanation:

Given

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

Required

Simplify

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

We start by collecting like terms

[tex]-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y[/tex]

Then simplify like terms:

[tex]3x-y+0+2yz-3x^2y[/tex]

[tex]3x-y+2yz-3x^2y[/tex]

Conclusively, when [tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex] is simplified, the result is [tex]3x-y+2yz-3x^2y[/tex]

Hence:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = [tex]x[/tex] pounds

Cost of 1 pound = $8.24

Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]

Writing the equation as per question statement:

[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]

Therefore, 5 pounds of coffee was bought.

Answer:

298.

Step-by-step explanation:  

formula- n in the next term is (n+3)

basically adding three

3x100=300

-2+300=298

Answer:

Third choice.

Step-by-step explanation:

The left side is "8 less than 4 times a number"

The right side is "2 times the difference of 2 times the number decreased by 3"

Answer: Third choice.

The question is incomplete. The complete question is :

The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 25 persons 65 to 74 years of age in your state.

Suppose only one person in your survey has a chronic heart condition. What is the probability of getting one or fewer people with a chronic heart condition in a sample of 25 if 25% of the population in this age bracket has this health problem?

Solution :

Chronic heart disease is a condition where a person's heart have trouble to pump blood to the body. It develops over a period of time.

In the context, we can see from the figures from National Center for Health Statistics that the expected number of persons of age 65 - 74 years having a chronic heart disease is about

25 % of 25 = 6.25

Now by Poisson's ratio, the probability of choosing the sample where only one person having heart disease is 1.4%

Answer:

6.1%

Step-by-step explanation:

Amount increase=17.5-16.5

=1million

% increase= amount increase/original×100% amount

= 1/16.5×100%

= 6.1%

The percentage increase in auto sales is 6.1 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The auto sales of the country in 2014 = 16.5 million

The auto sales of the country in 2015 = 17.5 million

The increase in auto sales in 2015 from 2014 =
Auto sales of the country in 2015 - Auto sales of the country in 2014

The increase in auto sales in 2015 from 2014 = 17.5 million - 16.5 million

                                                                           = 1 million

Now , the percentage increase in auto sales =
( Increase in auto sales / Auto sales of the country in 2014 ) x 100

The percentage increase in auto sales = ( 1 / 16.5 ) x 100

                                                                 = 6.06 %

Therefore , the percentage increase is 6.1 %

Hence , the percentage increase in auto sales if 6.1 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ5

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

Answer:

Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon

Answer:

x=-1

Isolate the variable by dividing each side by factors that dont

contain the variable

Answer:

roads?

Step-by-step explanation:

i think thats right

Answer:

yes bc they all have sum to do wit eachother

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

9 x 2= 18

18+34= 52

52/2= 26

If I knew what the figures looked like I could help you but since I don't. I'll just explain.

A: If 2/3 is a ratio provided then AD to JM might be 4 to 6

B: If 6/5 is a ratio provided then AD to JM might be 12 to 10

C: If 3/2 is a ratio provided then AD to JM might be 6 to 4

Answer:

7,6 1/2, 5 here are your answers welcome

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

Answer:

$9000

Step-by-step explanation:

110 x 90 = 9900

90 x 10 = 900

9900 - 900 = 9000