A batch of cookies was being sold at a bake sale. 25% of the cookies contained traces of tree nuts. All 60 cookies were eventually sold. How many contained traces of tree nut? QUICK

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2  (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2  (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.

More than one variable may be present inside a linear equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

y=3x+2 and y=x+6

Compare both values,

3x + 2 = x + 6

3x - x = 6 - 2

x = 4/2 = 2

And, y = 2 + 6 = 8

Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

32/12

Step-by-step explanation:

To calculate the tangent you need to divide the opposite side by the adjacent side: 70/24=35/12

Answer:

tan G = 2.9167

Step-by-step explanation:

tan G = 70/24

tan G = 2.9167

Answer:

D.

Step-by-step explanation:

[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]

The radius of the circle is 17 feet. Then the area of the circle is 907.46 square feet.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The diameter of the circle is 34 feet. Then the radius of the circle is calculated as,

r = 34 / 2

d = 17 feet

The area of the circle is calculated as,

A = πr²

A = 3.14 x 17 x 17

A = 907.46 square feet

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ2

Answer:

0.09

Step-by-step explanation:

9/100 as a decimal is 0.09.

Answer:

0.09!

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.09 is your answer!

Hope this helped.

Signed ~Jaz~

Answer:

D) (-2,0)

Step-by-step explanation:

(-2,0)

(-2-2)²+(y+3)²=25

16+9=25

25=25

Answer:

1/12 yard

Step-by-step explanation:

divide the total length by the amount of pieces

3/4 / 9

or multiply the bottom number by 9

4 *9 then divide by 3

36/3 = 12 and put it under 1

1/12

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

Answer:

1/3

Step-by-step explanation:

(5 + 4 + 3 + 3) x 2 = 30

Multiplied by two because two marbles are being picked.

10/30 = 1/3

Answer:

a

Step-by-step explanation:

Answer:

The amount of metal recovered at the eight pass is approximately 4.27 kg

Step-by-step explanation:

The mass of metal recovered formed the following geometric sequence;

32 kg, 24 kg, 18 kg, 13.5 kg

∴ The first term, a = 32 kg

The common ratio in the geometric sequence is found as follows;

r = a·r/a = 24 kg/(32 kg) = 0.75

r = a·r²/a·r = 18 kg/(24 kg) = 0.75

r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75

The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;

nth term = a·rⁿ⁻¹

a = 32, r = 0.75, n = 8

∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27

The amount of metal recovered at the eight pass ≈ 4.27 kg.

The eight term of the geometric sequence is 4.27.

A geometric sequence is in the form:

aₙ = ar⁽ⁿ⁻¹⁾

where aₙ is the nth term, a is the first term and r is the common difference.

Given that a = 32, r = 24/32 = 0.75

The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27

The eight term of the geometric sequence is 4.27.

Find out more on Geometric sequence at: https://brainly.com/question/9300199

Answer:

Step-by-step explanation:

If [tex]f(x) = x[/tex]. then you would use the x in that equation to plug in for the x in the equation [tex]g(x)=[/tex] [tex]-x^{2} - 2[/tex]

Answer:

600 cubic units.

Step-by-step explanation:

The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.

Answer:

x > -5

Step-by-step explanation:

-3x > 15

divide by -3

x > -5

Answer: x<-5

Step-by-step explanation:

First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all  the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot.  Hope this helps!

Step-by-step explanation

the third one

Step-by-step explanation:

Let's solve for y.

8x−3y>11

Step 1: Add -8x to both sides.

8x−3y+−8x>11 −8x −3y>−8x+11

Step 2: Divide both sides by -3.

−3y/−3 > −8x+11/−3

y<8/3x−11/3

Answer:

y<8/3x−11/3

Answer:

15 square feet

Step-by-step explanation:

Answer:

First angle would be 31°, second angle would be 59°

Step-by-step explanation:

You can use the equation 90° = a + (2a - 3°), where a is the measure of your smaller angle.

simplify:

90° = 3a - 3°

93° = 3a

31° = a

let your second angle equal (2a - 3°)

(2(31°) - 3°) = 59°

Answer:

D.

Step-by-step explanation:

Answer:

When the line of the graph is going up

Step-by-step explanation:

When the line is going down that means its a exponential decay :)