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3 years ago

PLEASE ANSWER CORRECTLY WILL GIVE 15 PTS! Solve each of the following inequalities.

Mathematics

1 answer:

Kitty [74]3 years ago

5 0

Answer:

a. k > 7

b. a < -21

c. h > 9

d. f < 301

Step-by-step explanation:

a. 2k + 7 > 21

2k > 14

k > 7

b. a/3 + 12 < 5

a/3 < -7

a < -21

c. 6h − 5 > 49

6h > 54

h > 9

d. f/7 − 9 < 34

f/7 < 43

f < 301

Hope this helps!

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On a number line, suppose point E has a coordinate of −2, and EG=7. What are the possible coordinates of point G? The possibl

laila [671]

Answer:

-9 ; 5

Step-by-step explanation:

Given that:

Coordinate of Point E = - 2

EG = 7

Possible coordinate of G

On the number line, G may be located on either side of E

If G is to the left of E; the coordinate if G is expressed as : (E - EG) = (-2 - 7) = - 9

If G is to the right of E; the coordinate if G is expressed as : (E + EG) = (-2 + 7) = 5

Hence, the possible coordinates of G are :

-9 and 5

6 0

3 years ago

45 points + brainliest for correct & explained answer :)

devlian [24]

|AD| = 30 - 6 = 24

The triangle ABC and the triangle BDA are similar, therefore:

$\dfrac{30}{x}=\dfrac{x}{24}\ \ \ \ |cross\ multiply\\\\x^2=30\cdot24\to x=\sqrt{30\cdot24}\\\\x=\sqrt{5\cdot6\cdot6\cdot4}\\\\x=\sqrt{6^2\cdot4\cdot5}\\\\x=\sqrt{6^2}\cdot\sqrt4\cdot\sqrt5\\\\x=6\cdot2\cdot5\\\\\boxed{x=12\sqrt5}$

7 0

3 years ago

Based on data from a statistical abstract, only about 16% of senior citizens (65 years old or older) get the flu each year. Howe

SSSSS [86.1K]

Answer: The required probability is 2.24%.

Step-by-step explanation:

Since we have given that

Percentage of people are senior citizens ( 65 years old or older ) = 14%

Percentage of people are under 65 years old = 100-14 = 86%

Probability that senior citizens get the flu each year = 16%

Probability that under 65 years old get the flu each year = 30%

So, Probability that a person selected at random from the general population is senior citizen who get the flu this season is given by

$P(S\cap F)={P(F|S)\times P(S)\\\\P(S\cap F)=0.16\times 0.14\\\\P(S\cap F)=0.0224\\\\P(S\cap F)=2.24\%$ Hence, the required probability is 2.24%.

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2 years ago

Read 2 more answers

A ramp has a horizontal distance of 10 feet and a vertical rise of 3 feet. Find the length of the ramp. Round to the nearest ten

Tatiana [17]

Answer:

Step-by-step explanation:

Tye length of the ramp can be gotten using Pythagoras theorem.

Horizontal distance = 10ft.

Vertical distance = 3ft

Length of the ramp² = 10²+3²

Length of the ramp² = 100+9

Length of the ramp² = 109

L² = 109

L =√109

L = 10.44ft

Hence the length of the ramp is 10.4ft to the nearest tenth

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3 years ago

PLZ HELP ME

Likurg_2 [28]

Answer:

x ≈ 14.87

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 10² + 11² = 100 + 121 = 221 ( take the square root of both sides )

x = $\sqrt{221}$ ≈ 14.87 ( to the nearest hundredth )

8 0

2 years ago