There are 30 students in Mr. Shawn’s class and 60% of the students are above 12 years old. How many students are above 12 years old?

40 oz of a 65% iron alloy contains 40 × 0.65 = 26 oz of iron.

x oz of a 42% alloy contains 0.42x oz of iron.

To end up with an alloy of 50% iron, Donna needs to use x oz of the 42% alloy such that

(26 + 0.42x) / (40 + x) = 0.50

Solve for x :

26 + 0.42x = 0.50 (40 + x)

26 + 0.42x = 20 + 0.50x

6 = 0.08x

x = 75

Answer:

B. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.

Step-by-step explanation:

A system of two lines has:

No solutions: When both lines have the same slope but a different x and y-intercept.

One solution: When both lines have different slopes.

Infinitely many solutions: When both lines have the same slope and same x and y-intercept.

Since it is given that the lines have different slopes, the equation has only one solution.

We do not need to check the y-intercept.

Megan is correct.

♛ Mark me as Brainliest if I’m right

Step-by-step explanation:

It is known that area of a circular is calculated as follows.

[tex]Area = \pi \times r^{2}[/tex]

So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to  calculate the radius it is required to divide the diameter by 2.

Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.

Answer:

choice 4

Step-by-step explanation:

It's not that hard if you understand once you get past the fancy words

degree= largest exponent

so if something has a degree of 3 we know that the highest exponent is 3

Coeficcent= thing multipllying x

in this case it's 4 which means the number we are looking for is 4x³

Onlyanswer choice 4 meets these criteria

Answer:

The answer is (4)  [tex]2x+x^{2} +4x^{3}[/tex].

Step-by-step explanation:

A leading coefficient is the coefficient of the term of highest degree in a given polynomial.  

A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).

The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like [tex]4x^{3}+x^{2} +2x[/tex]. A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.

Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) [tex]2x+x^{2} +4x^{3}[/tex] to be the answer.

Answer:

A line with a slope of – that passes through the point (–14, 4)

Step-by-step explanation:

The equation of a line is typically written as y= mx+b where m is the slope and b is the y- intercept.

Answer:

5^-4

Step-by-step explanation:

5^3/5^7=5^(3-7)=5^-4

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

Answer:

probably D po

Step-by-step explanation:

sana maka help po

Answer:

6+3v

Step-by-step explanation:

(2+v) *3

Distribute

2*3 + v*3

6+3v

Answer:

U.S. Treasury Bond

Step-by-step explanation:

A bond is a debt instrument.

the US government cannot default on a bond. thus government bonds are considered riskless. this is because the government can print money with the central bank to pay debt obligations

other debt issuers cannot print money to pay debt obligations. thus, they are not riskless

Answer:

so 6+30=36

we can use the distributive property

36-6=30

36-30=6

Hope This Helps!!!

Answer:

∠ C = ∠ A + ∠ B

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, so

C = A + B

Answer:

13km

Step-by-step explanation:

Answer:

c=13km

Step-by-step explanation:

13 (by pythagorean triples)

or you could use the pythagorean theorem to find c:

5^2+12^2=c^2

25+144=c^2

c^2=169

c=13

Answer:

x<1

Step-by-step explanation:

x+5<6 - 6-5

x<1

Answer:

4. 6 cups

6. 50 dollars

7. 27000 words

8. 300 dollars

Step-by-step explanation:

4.

2 cups           x cups

-------------- = -----------

6 people         18 people

Using cross products

2 * 18 = 6x

Divide by 6

36/6 =6x/6

6 =x

6.

12 cans           30 cans

-------------- = -----------

20 dollars         x dollars

Using cross products

12x = 20*30

12x = 600

Divide by 12

12x/12 =600/12

x = 50

7.

3 hours = 3*60 minutes/hour = 180 minutes

30 minutes           180 minutes

--------------        = -----------

4500 words         x words

Using cross products

30x = 4500*180

Divide by 30

x = 4500*180/30

x=27000

8.

45 dollars           x dollars

-------------- = -----------

15 burgers        100 burgers

Using cross products

45*100 = 15x

Divide by 15

45*100/15 = x

300 =x

Answer:

x = 83 degree

Step-by-step explanation:

x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)

x = 126 - 43

x = 83 degree

Answer:

83 degrees

Step-by-step explanation:

To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.

This equals 54 degrees.

Now, 54 + 43 equals 97.

Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.

Answer:16,284

Step-by-step explanation:

Given:

You move down 2 units and up 8 units.

You end at (0, 4).

To find:

The starting point.

Solution:

Let the starting point be [tex](x,y)[/tex].

You move down 2 units and up 8 units. So, the rule of translation is:

[tex](x,y-2+8)=(x,y+6)[/tex]

You end at (0, 4).

[tex](x,y+6)=(0,4)[/tex]

On comparing both sides, we get

[tex]x=0[/tex]

[tex]y+6=0[/tex]

[tex]y=4-6[/tex]

[tex]y=-2[/tex]

Therefore, the starting point is (0,-2).

Answer:

That they can mess up the whole house

Step-by-step explanation:

That's all I got, sorry if it's not very helpful.

Answer:

its either -20 or -7

Step-by-step explanation:

i believe its -20 tho hope it helps

Answer:

-20

Step-by-step explanation:

a-5c

a = -5  and c=3

-5 -5(3)

Multiply

-5 - 15

-20

Answer:

The answer is below

Step-by-step explanation:

The area of the wall is 84 ft².

The width of the wallpaper is 18 in.

1 ft. = 12 in

Hence; 18 in = 18 in * 1 ft. per 12 in = 1.5 ft

The length of the wallpaper is 33 ft.

Therefore, the area of the wallpaper = length * width = 1.5 ft. * 33 ft. = 49.5 ft². This means that each roll of wallpaper has an area of 49.5 ft²

Therefore, the minimum amount of rolls of wallpaper needed = area of wall / area of wallpaper

Amount of wallpaper = 84 ft² / 49.5 ft² = 1.7 rolls

a = 85°

Step-by-step explanation:

Method 1

5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)

3x = 57°

x = 57/3 = 19°

a = 180 - 57 - 2x

a = 180 - 57 -2(19)

a = 85°

Method 2

2x + a + 57° = 180°

2x + a = 123° ==> 1

5x + a = 180°

x = (180° - a)/5 ==> 2

By substitution

2((180° - a)/5) + a = 123°

(360° - 2a)/5 + a = 123°

(360° - 2a)/5 = 123° - a

360° - 2a = 5(123° - a)

360° - 2a = 615° - 5a

-2a + 5a = 615° - 360°

3a = 255°

a = 85°

I think answer is 120 right?

Sorry if my answer is incorrect.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {120}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](8 + 52) \times [(9 - 7)2 \div 2][/tex]

➼[tex] \: (60) \times [(2)2 \div 2][/tex]

➼[tex] \: (60) \times (4 \div 2)[/tex]

➼[tex] \: 60 \times 2[/tex]

➼[tex] \: 120[/tex]

[tex]\sf\purple{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

t=3

Step-by-step explanation:

Heres why i think t=3

Replace the T in 3t+2

3x3+2

9+2=11

11=5t-4

Now Replace the t again by 3

5x3-4

15-4

11

11=11

T=3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

2 + 4 = 5t - 3t

6 = 2t

6/2 = 2/2t

t = 3

if this helps you, please mark brainliest!

Answer:

11/20

Step-by-step explanation: