All categories

3 years ago

NEED ASAP WILL GIVE BRAINLIEST

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

Answer:

QS = 38

Step-by-step explanation:

First, we need to find the value of x.

Given that R is the midpoint of Q and S, that means QR = RS.

6x-11 = 2x+9

Solve.

x = 5.

To find QS, we need to solve the following equation:

6x-11 + 2x+9

Substitute 5 for x.

6(5)-11+2(5)+9

30-11+10+9

You might be interested in

Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a

earnstyle [38]

Ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

Solution:

Let "a" be the age of Alex

Let "g" be the age of George

Let "c" be the age of Carl

Alex is 12 years older than George

Therefore,

Age of Alex = 12 + Age of George

a = 12 + g

g = a - 12 ---- eqn 1

Carl is Three times older than Alex

Age of Carl = 3 x Age of Alex

c = 3a -------- eqn 2

The sum of their ages is 68

age of Alex + age of George + age of Carl = 68

a + g + c = 68 ----------- eqn 3

Substitute eqn 1 and eqn 2 in eqn 3

a + a - 12 + 3a = 68

5a - 12 = 68

5a = 12 + 68

5a = 80

a = 16

Substitute a = 16 in eqn 2

c = 3(16) = 48

c = 48

Substitute a = 16 in eqn 1

g = 16 - 12 = 4

g = 4

Find the ratio of George’s age to Carl’s age to Alex’s age

Ratio of George’s age to Carl’s age to Alex’s age = g : c : a

g : c : a = 4 : 48 : 16

Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

6 0

3 years ago

PLEASE ANSWER 10 POINTS!

zysi [14]

Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:

7.5 x 1.5 = 11.25 square feet (Bottom)

1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)

2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)

1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)

2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)

2.5 x 1.5 = 3.75 square feet (Top)

7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)

The area of all these surfaces is 61.5 square feet.

8 0

4 years ago

Read 2 more answers

A musician spends 90 minutes practicing piano and guitar the time spent is 30 minute less than twice the same time spent on guit

11111nata11111 [884]

Answer:

The which spends on the piano is( 50 minutes )

The which spends on the guitar is( 40 minutes )

Step-by-step explanation:

The steps of the solution in the above photo

I hope that is useful for you :)

8 0

3 years ago

A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20

Llana [10]

Answer:

Mean = 70,000 dollars

SD = 800 dollars

For Khan Academy

Step-by-step explanation:

3 0

3 years ago

If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?

ivolga24 [154]

Answer:

- $\sqrt{5}$

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

One answer with positive square root
One answer with negative square root

For example, for the equation:

$x^{2}=3$

If we take the square root of both sides, the answers will be:

$x=\sqrt{3} \text{ or } x= -\sqrt{3}$

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and $\sqrt{5}$ . Therefore, the 3rd root of the polynomial function f(x) had to be - $\sqrt{5}$

It seems you made error while writing option B, it should be - square root of 5.

4 0

3 years ago