Ask question

Ask question

All categories

3 years ago

5

Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes wi

ll he need?
5 cakes
6 cakes
10 cakes
11 cakes

1 answer:

Sauron [17]3 years ago

4 0

11 cakes; 2/11=x/58, cross multiply, 11x=(2)(58), 11x=116, x=116/11=10.54, you would need 11 cakes.

You might be interested in

7% of what number is 105?

Gnom [1K]

The answer should be n= 1500

5 0

3 years ago

Read 2 more answers

PLEASE HELP THANK YOU

Katen [24]

Answer:

One metric ton is equal to a 1000 kilograms.

5 0

3 years ago

Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0

solong [7]

Answer:

The solutions to the quadratic function are:

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3$

Let us determine all possible solutions for f(x) = 0

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

switch both sides

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

subtract 3 from both sides

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

simplify

$4x^2-4x=-3$

Divide both sides by 4

$\frac{4x^2-4x}{4}=\frac{-3}{4}$

$x^2-x=-\frac{3}{4}$

Add (-1/2)² to both sides

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2$

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}$

$\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{1}{2}=\sqrt{-\frac{1}{2}}$

$x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}$ ∵ $\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}$

as

$\sqrt{-1}=i$

so

$x-\frac{1}{2}=i\sqrt{\frac{1}{2}}$

Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

also solving

$x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}$

$x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}$

Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

$x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

Therefore, the solutions to the quadratic function are:

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

4 0

2 years ago

SOLVE PLEASE, FIND THE VALUE OF X! 7x/3+2=-15

nikklg [1K]

Answer:

${ \tt{ \frac{7x}{3} + 2 = - 15 }} \\ \\ { \tt{ \frac{7x + 6}{3} = - 15 }} \\ \\ { \tt{7x + 6 = - 15 \times 3}} \\ \\ { \tt{7x + 6 = - 45}} \\ \\ { \tt{7x = - 45 - 6}} \\ \\ { \tt{7x = - 51}} \\ \\ { \boxed{ \tt{x = - 7.3}}}$

8 0

2 years ago

Read 2 more answers

Please help <br>Answer

PSYCHO15rus [73]

Answer:

STEP 3.) x = 9/8

Step-by-step explanation:

x + 5/8 = 7/4

x + 5/8 - 5/8 = 7/4 - 5/8

= x =9/8

8 0

3 years ago