Can you figure out the answer to this pencil problem?

Answer:

19 1-point shots and 32 2-point shots

Step-by-step explanation:

Let x be the amount of 1-point shots they made and y be the amount of 2-point shots they made then...

x+y=51

x+2y=83

We can solve this equation using elimination. In this case, we can eliminate x be subtracting the two equations.

-y=-32

Divide both sides by -1

y=32

Plug this back into the equation to solve for x

x+32=51

Subtract 32 from both sides

x=19

They scored 19 1-point shots and 32 2-point shots.

Answer:

1 / [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x [tex]\sqrt{2}[/tex]. So that make the unknown sides 6 and 6[tex]\sqrt{2}[/tex]. When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6[tex]\sqrt{2}[/tex]) This gives you 6/6[tex]\sqrt{2}[/tex]. You can simplify the 6s to get 1 / [tex]\sqrt{2}[/tex]

Explanation:

This is a 45-45-90 right triangle, aka isosceles right triangle.

The two legs are 6 units each, because the legs of isosceles triangles are the same length.

The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.

From here we can say:

[tex]\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\[/tex]

It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.

Side note: Rationalizing the denominator will have [tex]\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex]

Answer:

56.52 units²

explanation:

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

Solution:

Note that:

Finding the area of the semicircle:

We can conclude that the area of the semicircle is 56.52 units².

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

Answer:

1/2x

Step-by-step explanation:

It's exactly in between the steep slope and the flat line and the steep line's slope is x or 1x.

Answer:

z-355=x

2z-80=y

x+y+z=2425 ft

Step-by-step explanation:

Smallest Yosemite falls- x

Largest Yosemite falls-y

Middle Cascades Falls- z

Answer:

Equation is Y=x/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

455

Using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

An algebraic equation, like the one given, models word problems, and can be used to find unknown numbers.

Thus:

y = 4× represents the rate Kathrine uses to make bracelets, where,

x = number of days

y = total number of bracelets made

Find the number of days (x) it takes to make 20 bracelets.

Substitute y = 20 into y = 4x:

20 = 4x

20/4 = x

x = 5 days.

Create an algebraic equation in the form of, y = kx, for the rate of necklace Kathrine makes using the graph.

Thus, using the point, (4, 10), substitute x = 4 and y = 10 into y = kx and find k.

10 = k(4)

10/4 = k

k = 2.5

The algebraic equation for rate of necklace made is: y = 2.5x

Number of days Kathrine will use to make 20 necklaces would be:

20 = 2.5x

20/2.5 = x

x = 8 days.

Number of days to make 20 bracelets = 5 days

Number of days to make 20 necklaces = 8 days

In summary, using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

Learn more about algebraic equations on:

https://brainly.com/question/2164351

Answer:

last one, x>-2.5

Step-by-step explanation:

Answer:

? X 3= 6

3 X 3= 9

?= 6/3

?= 2

please mark as Brainliest

Answer:

2

Step-by-step explanation:

6 multiply by 3 to give 18

9 multiply by question mark we represent the question mark with x

so 18 divided by 9 gives 2

Answer:

The answer is 1716

Step-by-step explanation:

214.50x8=1716

Answer:

D

Step-by-step explanation:

275 increased by 10% = 302.5

10 percent of 275= 27.5

hence, we add 275 plus 27.5 and get 302.5.

- 2/9

Step-by-step explanation:

(2/3 - 5/6)÷3/4

we'll first sort out the first part by equalizing denominators

(2/3 × 2/2) - 5/6 = 4/6 - 5/6 = -1/6

dividing by fraction is The Same as multiplying by it's inverse

= - 1/6 × 4/3 = - 4/ 18 = -2 × 2 = - 2/9

----------

2 × 9

Answer:

H = 58, I = 71, J = 51

Step-by-step explanation:

Set all angles equal to 180

3x - 2 + 4x - 9 + 3x - 9 = 180

Then combine like terms

10x - 20 = 180

      + 20  + 20

10x = 200

/10     /10

x = 20

Then plug in for each angle

3 (20) - 2 = 58

4 (20) - 9 = 71

3 (20) - 9 = 51

Answer:

0.33

Step-by-step explanation:

i found this answer from knowing common sense. 33 hundredths is 0.33. thus making 33 pennies; 0.33

Answer:

There is only one solution, and that is x=−2 and y=7

Step-by-step explanation:

Answer:

what is x then i can say

Step-by-step explanation:

?????????????????????? i dont gets it

Otherwise its already simplified.

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

The function which expressed the tax on discounted price is,

[tex]c(p) = 1. 12p.[/tex]

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

[tex]c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p \\[/tex]

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Learn more about the composite function here;

https://brainly.com/question/10687170

Answer:

(E/2)/n = k

So when doing this you have to isolate K since your solving for “k”.

In order to do this you have to perform the inverse of every variable or number in order to isolate K.

In this case you divide 2 and then N.

Answer: A B C

Step-by-step explanation:

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

hope this helps

Answer:

2p^2 - 1p - 8     GCF= 2p

Step-by-step explanation:

The GCF of the following equation can be written as 2p.

So with this information, we can solve the equation.

2p^2 - 1p - 8

Let me know if I am correct.

x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

----------------

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

Answer:

24

Step-by-step explanation:

7m - 4

7(4) - 4

28 - 4

24

Therefore, the value of the expression 7m-4 when m=4 is 24

Cp = 15000

L % = 2 %

First Let's find loss :

Final equation:

I am pretty lazy to use latex adjust with it xD

Answer:

wait a minuate which school you study i study in indian school salalah

Answer:

14g

Step-by-step explanation:

Combine like terms

8g–4g+10g = (8-4+10)g = (4+10)g = 14g

Hi!

I can help you with joy!

Solve by Combining Like Terms:

[tex]\bold{8g-4g+10g}[/tex]

[tex]\bold{4g+10g}[/tex]

[tex]\bold{14g}~(\text{Answer})[/tex]

Hope it helps!

Enjoy your day!

Ask me if you have any doubts.

~Misty~

The volume of the triangular prism clay pot is 195 unit³

where

B = base area

H = height of the prism

Therefore,

Base area = area of a triangle

area of a triangle = 1 / 2 × base × height

Therefore,

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

Therefore,

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

learn more on triangular prism here: https://brainly.com/question/16537585

Answer:

x = 4

Step-by-step explanation:

Rewrite the given equation as b^(2x) = b^8.

The exponents 2x and 8 must be equal, and so 2x = 8, and x = 4

Answer:

[tex]y=-5.6[/tex]

Step-by-step explanation:

[tex]2.5\left(y + \dfrac{2}{5} \right) =-13\\\\\textsf{divide both sides by 2.5} : y+ \dfrac{2}{5}=-5.2\\\\\textsf{subtract} \ \dfrac{2}{5} \ \textsf{from both sides} : y=-5.6[/tex]