Can someone solve this problem

Answer: use a protractor and measure from the end of the line on the right side and measure 40 degrees and draw the line straight up from there

Answer:

is the any options?

Step-by-step explanation:

40 boys and 68 girls

let's start with variables and an equation.

boys: x

girls: 2x - 12

and we know that boys and girls make up the class. so let's add the two expressions.

x + 2x - 12 = 108

3x - 12 = 108

    + 12     + 12

3x = 120

x = 40 boys

BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.

2x - 12 = # of girls

2(40) -12 = # of girls

80 - 12 = # of girls

68 girls

let's check our answer!

68 + 40 does in fact add to 108, therefore our answer is correct.

Answer:

[tex](cosA +1)(cosA +2)[/tex]

Step-by-step explanation:

[tex]cos^2(A)+3cos(A)+2[/tex]

Which number add up to 3 and multiply to 2?

That would be 1 and 2.

[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]

Answer:

21 laps per hour

Step-by-step explanation:

2/3 = 20/30

20/30 × 2 = 40/60

1 and 2/3 = 1 hour 40 mins

60 + 40 = 100 mins

35 (laps) = 100 (mins)

÷10

3.5 = 10

×6

21 = 60

21 laps in 1 hour

so 21 laps per hour

Answer:

I'm not completely sure but I beileve Jackie less than 4

Step-by-step explanation:

good luck tho

Answer:

D

(i scored 100 on the quiz)

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

Key skills required are: Percentages, Multiplication

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

Do 0.12 x 40 and you will get 4.8

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

Answer:

747.84

Step-by-step explanation:

change the percent to a decimal 1.52 then multiply by 494

1.52×494=747.84

Answer:

300 is a rational number because it can be expressed as the quotient of two integers: 300 ÷ 1.

Step-by-step explanation:

The number [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] as a quotient of integers to show that it is rational.

A rational number is a number of the form [tex]\frac{p}{q}[/tex], where [tex]q \ne0[/tex] and [tex]p[/tex] and [tex]q[/tex] must be co-primes.

To write a number in the form of quotient of integer, we write it as [tex]\frac{p}{q}[/tex], where [tex]q \neq 0[/tex].

Here, [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] or [tex]\frac{600}{2}[/tex]or [tex]\frac{900}{3}.[/tex]

But we should also take care that [tex]p[/tex] and [tex]q[/tex] must be co-primes.

Co-primes are the pairs of numbers that have only one common factor which is [tex]1[/tex].

So, [tex]300[/tex] can be written as [tex]\frac{300}{1}.[/tex]

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Answer:

i think it is b

Step-by-step explanation:

Answer: a= -3 and b=2.

Step-by-step explanation:

If a system of linear equations has infinitely many solutions, then

Ratio of coefficient of y= ratio of coefficient of x = ratio of constants.

Given system: [tex]y=2x+a[/tex]

[tex]y=bx-3[/tex]

It it has infinitely many solutions, then

[tex]\dfrac{1}{1}=\dfrac{2}{b}=\dfrac{a}{-3}\\\\\Rightarrow\ \dfrac{2}{b}=1\ \ \ \text{ and }\ \ \dfrac{a}{-3}=1\\\\\Rightarrow\ b=2\ \ \ \text{ and } \ \ a=-3[/tex]

hence, a= -3 and b=2.

Answer:

circle the second and forth one

Answer

Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)

Step-by-step explanation:

Step-by-step explanation:

Given

4 - (x -1 ) ²

= 2² - ( x - 1) ² [ putting it into the formula a² - b² = (a+b) (a - b) ]

= ( 2 + x - 1) ( 2 - x + 1)

= ( x + 1 ) ( 3 - x)

Hope it will help :)❤

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Answer:

Step-by-step explanation:

15x +6y = 2 is equal to 0 because when we move the constant to the left and divide both sides of the equation by 3 we get:

Same with 7x +6y = -3, when we move the constant to the left and sum the two opposites equal to 0 it give us:

Answer:

.....................................

Step-by-step explanation:

y = 30 & x = 3

9514 1404 393

Answer:

  65 feet

Step-by-step explanation:

The problem involves finding the perimeter of a rectangle, then making adjustments to remove parts of the perimeter that aren't wanted.

The perimeter of a rectangle is given by the formula ...

  P = 2(L+W)

For Aubrey's 12' × 8' room, the perimeter is ...

  P = 2(12' +8') = 40'

This is the length of the border Aubrey needs at the ceiling.

__

At "waist-high", we need to subtract the total width of all the windows and doors. That total is ...

  3' + 4' + 3' + 5' = 15'

So, the waist-high border is 40' -15' = 25'.

__

The total amount of border Aubrey needs is ...

  ceiling border + waist-high border = 40' + 25' = 65'.

Aubrey needs 65 feet of border.

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

Answer:

125

Step-by-step explanation:

Answer:

Profit

7.50

4.50

Loss

-3.50

-6.00

Step-by-step explanation:

Here, we want to write each profit as a positive number and each loss as a negative number

thus, we have that;

Profit;

7.50

4.50

Loss;

-3.50

-6.00

Answer:

200 marbles are blue only if there are 600 marbles in total. If there are more than 600, you calculate by dividing the total number of marbles by three.

Answer:

200 blue marbles

Step-by-step explanation:

two-thirds of 600 is 400... so the rest is easy 600-400=200

brainliest pls

Answer:

[tex]\frac{111}{190}[/tex]

Step-by-step explanation:

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability that the two biscuits were not the same type is 111/190.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of total biscuits = 20

Number of plain biscuits = 12

Number of chocolate biscuits = 5

Number of current biscuits = 3

The probability that two randomly chosen biscuits were not the same type.

= [tex]^{12}C_1 \times ^5C_1[/tex] /  [tex]^{20}C_2[/tex]  +  [tex]^{12}C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^5C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex]

= 12 x 5 / 190  + 12 x 3 / 190 + 5 x 3 / 190

= (60 + 36 + 15) / 190

= 111 / 190

Thus,

The probability that the two biscuits were not the same type is 111/190.

Learn more about probability here:

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Answer:

2\10

Step-by-step explanation:

1\2 = 5\10

7\10 - 2\10 = 5\10

Answer:

x = -1/7

y = 6/7

Step-by-step explanation:

factor a 5 out of the first equation to work with smaller numbers:

y - 8x = 2

let y = -6x (derived from the second equation)

substitute:  -6x - 8x = 2

-14x = 2

x = -2/14 or -1/7

find 'y':  y - 8(-1/7) = 2

             y + 8/7 = 14/7

              y = 6/7

Answer:

x = -1/7, y = 6/7

System: [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex]

Step-by-step explanation:

The system of equations would be [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex].

To find out what x and y are, choose one of the equation and solve for y. Then, substitute the result for y into the other equation.

5y - 40x = 10 (Add 40x to both sides)

5y = 40x + 10 (Divide both sides by 5)

y = 1/5(40x + 10) (Multiply 40x + 10 by 1/5)

y = 8x + 2 (Substitute this for y in the other equation.)

8x + 2 + 6x = 0 (Add 8x to 6x)

14x + 2 = 0 (Subtract 2 from both sides)

14x = -2 (Divide both sides by 14)

x = -1/7 (Substitute this for x in the y = 8x + 2)

y = 8(-1/7) + 2 (Multiply -1/7 by 8)

y = -8/7 + 2 (Convert 2 into 14/7; show as a single fraction)

y = (-8 + 14)/7 (Add -8 and 14)

y = 6/7 (The system is solved)

Answer:

Given

△ABC and △CDE are equilateral.

AE

= 25

To find perimeters of the two triangles,

Let us consider the lengths of

AC

and

CE

to be

′

x

′

and

′

y respectively.

As △ABC is equilateral,

AC

=

AB

=

BC

= x

As △CDE is equilateral,

CE

=

CD

=

DE

= y

From the figure,

AE

=

AC

+

CE

25 = x + y

x + y = 25

Perimeter of the triangle is the sum of all sides of the triangle.

For △ABC,

Perimeter of △ABC =

AC

+

AB

+

BC

= x + x + x

= 3x

For △CDE,

Perimeter of △CDE =

CE

+

CD

+

DE

= y + y + y

= 3y

Now,

Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE

= 3x + 3y

= 3 × (x + y)

= 3 × 25 (from above)

= 75

Therefore, Perimeter of the two triangles is'75′units.

Step-by-step explanation:

Hope it is helpful...