[1/2]^-1 +[1/3]^-1 +[1/4]^-1
is equal to

Answer:

the one you have clicked is correct just took that quiz

Step-by-step explanation:

The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .

∴ [tex]\frac{3}{4}[/tex] of x =  [tex]\frac{3}{4}x[/tex]  and  [tex]\frac{2}{3}[/tex] of another number =  [tex]\frac{2}{3}\times(21-x)[/tex]

Now the sum of the two new numbers is given as 15.

∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]

[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

To learn more about number visit:

https://brainly.com/question/24908711

#SPJ1

Answer:

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

[tex]x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}[/tex]

[tex]x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}[/tex]

[tex]x = 2.6\times 10^{18-14}[/tex]

[tex]x = 2.6\times 10^{4}[/tex]

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

Answer:

A = 1660 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the sail or a triangle is base times height

A = [tex]\frac{1}{2}[/tex](b x h)

Base is 40 ft (horizontal length)

Height is 83 ft (vertical height)

A = [tex]\frac{1}{2}[/tex](b x h)

A = [tex]\frac{1}{2}[/tex](40 x 83) =  [tex]\frac{1}{2}[/tex](3320) = 1660 [tex]ft^{2}[/tex]

Answer:

30x=48+22×

30x -22x=48

8x=48

x=6

Answer:Megan spent 0.15 pounds more on bananas than strawberries

Step-by-step explanation:

Step 1

Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound

2 1/4 x 0.80 = 1.8 pounds

Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds

1 1/2 x 1.10  = 1.65.

Step 2  how much  more means the difference between the cost of bananas and strawberry .

 Therefore, we have Cost of bananas - cost of strawberries

1.80 pounds - 1.65 pounds=0.15

Megan spent 0.15 pounds more on bananas than strawberries

Answer:

0

Step-by-step explanation:

hope this helps :)

Given:

The International Space Station takes 644 minutes to orbit Earth 7 times.

To find:

The time taken by each orbit.

Solution:

Total time = 644 minutes

Total number of orbits =7

Now,

[tex]\text{Time taken be each orbit}=\dfrac{\text{Total time}}{\text{Number of orbits}}[/tex]

[tex]\text{Time taken be each orbit}=\dfrac{644}{7}[/tex]

[tex]\text{Time taken be each orbit}=92[/tex]

So, the required time is 92 minutes.

Therefore, you are correct and all options are incorrect.

Answer:

(-3,2)

Step-by-step explanation:

It was correct on mine

The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).

Now,

The coordinate of A' after dilation of k = 1/3 is,

⇒ (1/3 × - 3, 1/3 × 2)

⇒ (- 1, 2/3)

⇒ (- 1, 0.67)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

Answer: 41

Step-by-step explanation:

No❤️

Answer:

k = -5

g = 6

Step-by-step explanation

1) First solve for k and plug that into the other equation to solve for g.

5g + 4k = 10

4k = -5g + 10

k = -5/4g + 2.5

2) Plug k into the other equation to solve for g

-3g - 5k = 7

-3g = 5k + 7

-3g = 5(-5/4g + 2.5) + 7         Use the distributive property

-3g = -6.25g + 12.5 + 7        Combine like terms and simplify

-3g = -6.25g + 19.5               Add 6.25g to both sides

3.25g = 19.5                          Divide 3.25 from both sides to find g

g = 6

3) Now we take this g and plug it into the other equation to find k

(we could also just plug it into this equation as well)

5g + 4k = 10

5(6) + 4k = 10

30 + 4k = 10

4k = -20

k = -5.

If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...

-3(6) - 5(-5) = 7

-18 + 25 = 7

So yes, k = -5 and g = 6.

Answer:

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

It will take 2.5 hours

Answer:

-8/7/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5 2/3 +-3 1/9

-79/9 or - 8 7/9

Answer:

195 students are left-handed

Step-by-step explanation:

Here, we want to calculate the total number of students who are left-handed

Let the total number of students in the school be x

The total ratio is 8 + 3 = 11

8/11 * x = 520

8x = 11 * 520

x = (11 * 520)/8

x = 715 students

So the number of students who are left handed will be;

Total - number of right-handed students

That would be;

715-520 = 195

-1/6

Hope this helped!

Answer:-1/6

Step-by-step explanation:

Answer:

25 + 0.55x ≤ 212

Step-by-step explanation:

Bart can only spend 212, hence the less than or equal to symbol. The cost of using the car must be at most 212, so 25 and 0.55x are on the same side. 0.55x represents the cost of driving an unknown amount of miles.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]

[tex]2 \times \frac{3}{4} mile = \frac{6}{4} mile = \frac{3}{2} miles \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

1.50 miles or 1 and 1/2

Step-by-step explanation:

Answer: I believe the answer is A.

Explanation: hope this helps

Answer:

−7.1s+8

Step-by-step explanation:

First Distribute

=−0.3s+−2+(2)(5)+(2)(−3.4s)

=−0.3s+−2+10+−6.8s

Combine Like Terms:

=−0.3s+−2+10+−6.8s

=(−0.3s+−6.8s)+(−2+10)

=−7.1s+8

Answer:

−

7.1

s

+

8Step-by-step explanation:

−7.1s+8

Answer:

9.8

Step-by-step explanation:

You would see if the hundredths place is less that 5 or 5 and up. In this case it it less, so it would be 9.8 or 9.80

Answer:

The expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Step-by-step explanation:

We need to solve the expression [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex]

Since it is a fraction, and all terms are multiplying with each other we can cancel out common terms.

Since x-4 is both in numerator and denominator so, it will be cancelled out and we will get:

[tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}\\=\frac{(x+2)}{(x+4)}[/tex]

So, the expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Answer:

D.) x+2/x+4

I took the quiz :)

Step-by-step explanation:

Answer:

This is it sorry about the last one

Step-by-step explanation:

ithink I posted the wrong one

Given:

Initial speed of typing = 35 words per minute

At the end of the course her typing speed = 77 words per minute

To find:

The percent of increase in her typing rate.

Solution:

We know that,

[tex]\text{Percent of increase in her typing rate}=\dfrac{\text{New speed - initial speed}}{\text{Initial speed}}\times 100[/tex]

[tex]\text{Percent of increase in her typing rate}=\dfrac{77-35}{35}\times 100[/tex]

[tex]\text{Percent of increase in her typing rate}=\dfrac{42}{35}\times 100[/tex]

[tex]\text{Percent of increase in her typing rate}=120\%[/tex]

Therefore, her typing rate is increased by 120%.

Answer:

A. 127º

Step-by-step explanation:

So we already know that the inside of a triangle is equal to 180º. We already have two of the angles so we can start by adding those together.

75 + 52 = 127

180 - 127 = 53

m∠A = 53º

Now, we also know that a straight line is equal to 180º so all we have to do now is subtract 53 from 180 to get the measure of ∠BAD

180 - 53 = 127

Answer:

Smash, all the Wayyyyyyyyyyyy

Answer:

Hehe

Step-by-step explanation: