At the first track meet, Bobby threw the shot put feet. At the second track meet he threw the shot put feet.
Which of the following expressions could be used to find the distance he improved his throw from the first track meet to the second track meet?
A. 423/4 + 44 1/2
B. 42 3/4 - ( -44 1/2 )
C. 44 1/2 - ( 42 3/4 )
D. 42 3/4 - 44 1/2

Let, amount of 14% solution required is x ounces.

So, amount of 8% solution will be ( 28 - x ) ounces.

Now, mathematical equation is :

[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]

Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.

Hence, this is the required solution.

Answer:

4x-1y=3xy

Step-by-step explanation:

because 3-2=1 and add the y on and the do 4x-1y and that will = 3xy

Answer:

x=4, y=6

Step-by-step explanation:

hope that helps :)

Answer:

14

Step-by-step explanation:

7-3 = 4 4+10=14 therfore 14 would be the answer hope this helps

Answer:

D. 6

Step-by-step explanation:

Answer:

B, 6

I think! hope it helped

Part (i)

Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,

(angleABC)+(angleCBX) = 180

angle CBX = 180-(angleABC)

angle CBX = 180-150

angle CBX = 30 degrees

Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.

The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.

In summary so far,

CX = 3

BX = 3*sqrt(3)

We have enough information to find the tangent of angle CAB, and then find the actual angle itself.

tan(angle CAB) = opposite/adjacent

tan(angle CAB) = (CX)/(AX)

tan(angle CAB) = 3/(4+3*sqrt(3))

angle CAB = arctan(  3/(4+3*sqrt(3))  )

I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.

========================================================

Part (ii)

Focus on triangle AXC. The legs we found were

AX = 4+3*sqrt(3)

CX = 3

Use the Pythagorean theorem to find the hypotenuse AC

a^2 + b^2 = c^2

(AX)^2 + (CX)^2 = (AC)^2

(AC)^2 = (AX)^2 + (CX)^2

(AC)^2 = (4+3*sqrt(3))^2 + (3)^2

(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9

(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9

(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9

(AC)^2 = 52+24*sqrt(3)

AC = sqrt( 52+24*sqrt(3) )

Note that AC is a length so AC is positive. We don't have to worry about the plus minus.

This is known as a nested radical since one square root is buried in another.

We can write that as [tex]AC = \sqrt{52 + 24\sqrt{3}}[/tex] if you're curious as to how that looks on paper.

Using your calculator, you should find that,

[tex]\sqrt{52+24\sqrt{3}} \approx 9.673118[/tex]

Answer:

6x-2

Step-by-step explanation:

the side lengths are x+2, x+2, 2x-3 and 2x-3

(the other two are the same as the ones shown because it's a rectangle)

when you combine like terms you get 2x+4 and 4x-6

combine like terms again and you get 6x-2

hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

8+11

Step-by-step explanation:

Answer:

3(2x + 1) +2(x + 4)

6x + 3 + 2x + 8

8x + 11

Step-by-step explanation:

Answer:

34 * 6 = 204

Thank you and please rate me as brainliest as it will help me to level up

Answer:

the answer is A). y=1/3×-52

Answer:

Step-by-step explanation:

Part 1:y=426x+4298

        y=223x+6129

Part 2: x=9.020 (x is the number of months and y is the miles)

Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile

Answer:

See answers in explanation below

Step-by-step explanation:

1.   4298 + 426t = 6129 + 223t

2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129

and find the answer at where these two lines intersect with each other, x=9.0197 (months)

3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)

Answer:

4/15

Step-by-step explanation:

what's the answer? 4/5×1/3?

Answer:

2350000000

Step-by-step explanation:

Answer:

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.

Step-by-step explanation:

9514 1404 393

Answer:

  25.

Step-by-step explanation:

The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.

Answer:

14.2

Step-by-step explanation:

you just have to add both of the numbers shown in the question

Answer: a right triangle

Step-by-step explanation:

Step-by-step explanation:

Let aron's variable be = a

Let davids variable be( 6 less tan 3 times aron) = 3×a-6

Thier sum is =214

So,

3×a-6 + a = 214

3a -6 +a = 214

(transpose)

3a + a = 214 + 6

4a = 220

a = 220/4

a= 55

Thus,aron's score is = 55

And davids score is (3×a-6) = 3×55-6 = 159

Checking,

Aron score + david score = 214

55 + 159 = 214

SO, ITS CORRECT

HOPE IT HELPS :)

Answer: -9

Step-by-step explanation:

You count down the distance from T to K

Answer:

-9

Step-by-step explanation:

you are counting from t to k but its going to the left of the number line to its negative.

Answer:

17 meters

Step-by-step explanation:

I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.

Hope this helps :)

Answer:

The answer is 17 meter

Step-by-step explanation:

So the formula for this is a^2 + b^2 = c^

The two legs are a and b

So plug those into the equation

It should look something like this 7^2 + 16^2 = c^2

Then solve the exponents and you get 49 + 256 = c^2

After that just add the two integers and you have 305

Finally take the square root of 305 and you get 17

pls mark brainliest because i didnt waste your time Lol

Answer:

p is 8

Step-by-step explanation:

4 - 20

then 2 divided by 16

then you get 8

Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.

Step-by-step explanation:

i think thats the answer

Answer:

Percentage baked= 75%

Step-by-step explanation:

Giving the following information:

After 20 minutes in the oven, 15 of the 20 cookies were fully baked.

First, the fraction of cookies baked:

Fraction of cookies= 15/20= 3/4

Now, to calculate the percentage, we need to use the following formula:

Percentage baked= (15/20)*100

Percentage baked= 75%

Answer:

128

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Subtract to find the difference in the amounts:

9.1 - 6.2 = 2.9

Divide the change by the starting amount:

2.9/6.2 = 0.46774

Multiply by 100 to get the percentage and round to the nearest tenth:

0.46774 x 100 = 46.8 %

Answer: 46.8%

Answer:

eu singer nuştiu

terog scuză

Answer:

y=4x

Step-by-step explanation:

you just have to find the slope!