Ask question

Ask question

All categories

2 years ago

6

Jake is making cookies. To make 30 cookies, his recipe requires 4 eggs. Using this recipe, what is the total number of eggs he w

ill need to make 120 cookies?

1 answer:

TiliK225 [7]2 years ago

8 0

Answer:

16 eggs

Step-by-step explanation:

<u>Steps to answering this question </u>

determine how many eggs would be required to make one cookies
Multiply the answer gotten above by the number of cookies

Number of eggs needed for one cookie = 4/30 = 0.1333

Number of eggs needed for 120 cookies = 0.1333 x 120 = 16 eggs

You might be interested in

Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4

Kay [80]

Answer:

<h2>c. x = -4 or x = 9</h2>

Step-by-step explanation:

$\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}$

Domain:

$x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3$

solution:

$\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}$

use <em>(a - b)(a + b) = a² - b²</em>

$\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}$

multiply both sides by (x - 3) ≠ 0

$\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}$

cancel (x - 3)

$\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3$

subtract $\frac{4(x-3)}{x}$ from both sides

$\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}$

cross multiply

$(4)(x)=(x+3)(-x+12)$

use FOIL

$4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36$

subtract 4x from both sides

$0=-x^2+12x-3x+36-4x$

combine like terms

$0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36$

change the signs

$x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0$

The product is 0 if one of the factors is 0. Therefore:

$x-9=0\ \vee\ x+4=0$

$x-9=0$ <em>add 9 to both sides</em>

$x=9\in D$

$x+4=0$ <em>subtract 4 from both sides</em>

$x=-4\in D$

7 0

3 years ago

Tyler’s brother works in a shoe store. The store was selling a pair of shoes for $80. They now are on sale for $50. What is the

DerKrebs [107]

Answer:

i think its 37.5%. let me know if its correct or not

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Daniel invests $2,037 in a retirement account with a fixed annual interest rate of 6% compounded 6 times per year. What will the

notka56 [123]

Answer:

$\$5294.72$

Step-by-step explanation:

GIVEN: Daniel invests $\$2,037$ in a retirement account with a fixed annual interest rate of $6\%$ compounded $6$ times per year.

TO FIND: What will the account balance be after $16$ years

SOLUTION:

Amount invested by Daniel $=\$2037$

Annual interest rate $=6\%$

Total amount generated by compound interest is $=P(1+\frac{r}{n})^n^t$

Here Principle amount $P=\$2037$

rate of interest $r=6\%$

number of times compounding done in a year $n=6$

total duration of time $nt=16\text{ years}$

putting values we get

= $2037(1+\frac{6}{6\times100})^1^6$

$=2037(\frac{101}{100})^1^6$

$=\$5294.72$

Hence the total balance after $16\text{ years}$ will be $\$5294.72$

4 0

3 years ago

A flat-screen television was marked down by 35 percent, which reduced its price by $115.65. What was the original cost of the te

Vera_Pavlovna [14]

Marked down by 35% this decreased it by 115.65 thhat means that 115.65 is 35% of original find original 35%=35/100=7/20 'of' means multiply 115.65=7/20 times original multiply both sides by 20/7 to clear fraction (20/7 times 7/20=140/140=1) 2313/7=original 330.428=original round 330.43 original price=$330.43

3 0

3 years ago

Read 2 more answers

What is the value of x in the following equation? 4(x-1) = 2(x +1)

Alla [95]

Start by multiplying to get rid of parentheses. Then use addition/subtraction to isolate x on one side of the equation. Finally, use division to determine the value of x.

3 0

3 years ago