You're making dessert but your recipe needs adjustment. Your chocolate chip cookie recipe makes 4 dozen cookies, but you need 3
1
dozen cookies. If the recipe requires 15 cups of butter, 5 teaspoons of baking powder, and 2 cups of pecans, how much of each of
these ingredients are necessary for 3 dozen cookies? Simplify your answer

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is

2(x + 2)(x - 9) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)

y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.

Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.

And putting x = 0 gives the y-intercept of the function. (if any, for both cases).

Given the function as;

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is;

2(x + 2)(x - 9) = 0

Then Equate each factor to zero and solve for x;

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Learn more about function here:

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Answer:

work is shown and pictured

Answer: Not normal

Step-by-step explanation:

Regular (in math) refers to an integer that is a whole number or the integers that make up a whole number.

If it’s irregular then it’s not a normal integer like a whole number.

Answer:

[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Step-by-step explanation:

[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]

[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Step-by-step explanation:

84 km to miles is 52.195 miles

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

Answer:

-9 ≤ y ≤ 5

Step-by-step explanation:

The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.

Answer:

x ≥ 0

Step-by-step explanation:

Answer:

The output value is 4

Step-by-step explanation:

The output value is the y value, so y=3(1)+1

y=3+1

y=4

Answer:

y = [tex]4^{x+1[/tex]

Answer:

b) 30^2 + b^2 = 40^2

Step-by-step explanation:

This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2

c ^ 2 always is on the right hand side of the equation.

In this case since 40^2 is c^2 is should be on the right side of the equation.

Answer:

90.80

Step-by-step explanation:

6x+4

= (6)(13)+4

= 78+4

=82

3x

=(3)(13)

= 39

So we know the sides are 39 and 82

Pythagoras theorem in triangles

= a2+b2= c2

Now, we know the value of a and B but not c (the hypotenuse)

Therefore,

c2 = (39)^2 + (82)^2

= 1521+ 6724

= 8245

so, c = √8245

= 90.80 unitd

Answer:

Step-by-step explanation:

[tex]12\sqrt{7}\\=31.74901[/tex]

Answer:

AC = 4DB

Step-by-step explanation:

see attachment

Given that B is the midpoint of AC, this means that AB≅BC.

Also, D is the midpoint of AB, therefore AD≅DB.

This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4).  DB is the same length, since it is congruent to AD.

Thus, AC = 4DB.

Answer:

B. AC = 4DB

May I have brainliest please? :)

Answer:

[tex] {a}^{2} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \frac{ {a}^{5} }{ {a}^{3} } \\ = {a}^{5 - 3} \\ = {a}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Hey!!

The answer is a^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

C

Step-by-step explanation:

like I said, find the square area and subtract the triangles.

28 x 28= 784

Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.

28-11.6=16.4

16.4/2=8.2

8.2 is the leg's length.

8.2*8.2*1/2*4=134.48

Subtract it to the square's area. 784-134.48= 649.52

Now round!

You get C

Answer:

14

Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Answer: h = -13

Step-by-step explanation: To get the answer for h all we have to do is....

78 ÷ -6 = -13

Let's check our work....

-6 x -13 = 78

I hope this helps!

Answer:

h= -13

Step-by-step explanation:

To solve the equation, we want to find out what h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-6h=78

h is being multiplied by -6. The opposite of multiplication is division. Divide both sides by -6.

-6h/-6=78/-6

h=78/-6

h= -13

Let's check our solution. Substitute -13 back in for h in the original equation.

-6h=78

-6(-13)=78

Multiply

78=78

Since both sides of the equation are the same, we know that the correct answer is h= -13.

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]x+3[/tex]

[tex]7(x+3)[/tex]

Expand the brackets.

[tex]7x+21[/tex]

Answer:

103.5 m²

Step-by-step explanation:

To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of  the rectangle and the triangle gives the area of the trapezoid.

For the right trapezoid attached below, the area can be gotten by:

Area of rectangle = length × breadth = 9 × 8 = 72 m²

Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²

Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²

Answer:

-6 =x

Step-by-step explanation:

g(x) = -3x -8

g(x) = 10

10 = -3x-8

Add 8 to each side

10+8 = -3x-8+8

18 = -3x

Divide by -3

18/-3 = -3x/-3

-6 =x

Answer:

7 inches

Step-by-step explanation:

formula for a trepezoid is 1/2(a+b)*h

1/2(5+x)X3=18 (now make x the subject)

(5+x)X3=36

5+x=12

x=7

so the other base is 7in

Answer:

233 parking spots

Step-by-step explanation:

1327 - 162 = 1165

1165 ÷ 5 = 233

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

Answer:

2160

Step-by-step explanation:

1872(volume of the cube)+288(volume of the square pyramid)=

2160

v of cube= lwh

v of square pyramid= a² times h/3

please mark brainliest!

Answer:

2cm by 3cm by 3cm.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to help us in solving this particular Question or problem;

=> We have a built rectangular prism.

=> The rectangular prism was built by using 18 cubes.

=> Each of the 18 cubes measure 1 cm on each side.

So, the dimensions of Carley's rectangular prism is given below as the multiples of 18 since each of the 18 cubes measure 1 cm on each side.

That's 2 cm × 3 cm × 3cm. Therefore, the length will be 2cm, breadth will be 3cm and height will be 3cm.

Answer:

$350 < M

Step-by-step explanation:

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

Answer:

x=< -1

Step-by-step explanation:

move the constant to the right-hand side and change its sign. 2x<-5+3

Calculate the sum

2x<-2

Divide both sides of the inequality by 2

x <-1