If 1/5 of cakes where fruit and reminder was sponge what's the reminder in %

Answers

Answer 1

Answer: If 1/5 of the cakes are fruitcakes, then $1- (1)/(5) = (4)/(5)$ of the cakes are sponge cakes. To convert to a percentage, we simply multiply by 100, for a result of $(4)/(5)*100= (400)/(5)=80$ percent sponge cakes.

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What is the main reason that people are hesitant to use nuclear energy a. It produces radioactive waste. b. It uses large amounts of water. c. The ore used for nuclear energy must be mined. d. It is more damaging to natural habitats than the use of coal.

Answers

Nuclear energy is FEARED due to production of radioactive waste. Expose to radioactive waste have already taken place like Fu.kushima nuclear power station (March 2011) and more famously known; Chernobyl (April 1986). Nuclear waste is dangerous for over tens of thousands of years! For humans, radioactive waste breaks up our DNA. Either damaging our cells, or MUTATING them, which eventually lead to cancer and ever death.

The main reason that people are hesitant to use nuclear energy is It is more damaging to natural habitats than the use of coal.

What is nuclear energy?

Nuclear energy refers to the energy that is obtained from the nucleus of an atom. It is the energy that that can be obtained from a fusion or a fission reaction.

However, there are many uncertainties that surround the use of nuclear energy especially the posibility of a nuclear disaster. Hence, the main reason that people are hesitant to use nuclear energy is It is more damaging to natural habitats than the use of coal.

Learn more about nuclear energy: brainly.com/question/3385510?

How do you solve x+2/3=11//12

Answers

$x+(2)/(3)=(11)/(12)\ \ \ /-(2)/(3)\n\nx=(11)/(12)-(2)/(3)\n\nx=(11)/(12)-(2\cdot4)/(3\cdot4)\n\nx=(11)/(12)-(8)/(12)\n\nx=(11-8)/(12)\n\nx=(3)/(12)\n\n\underline{\underline{x=(1)/(4)}}$

Evaluate the expression x - 7. If x= 12.
19
6
17
5

Answers

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}$

Step-by-step explanation:

Given , value of x = 12

To find : Value of the given expression

Given expression = $\sf{x - 7 }$

plug the value of x

$\dashrightarrow{ \sf{ 12 - 7}}$

Subtract 7 from 12

$\dashrightarrow{ \sf{5}}$

Hope I helped!

Best regards! :D

Solve each system using substitution.
3x+2y=23
1/2x-4=y

Answers

$\left\{\begin{array}{ccc}3x+2y=23&(1)\ny=(1)/(2)x-4&(2)\end{array}\right\n\nsubtitute\ (2)\ to\ (1)\n\n3x+2((1)/(2)x-4)=23\n3x+x-8=23\n4x-8=23\ \ \ \ |add\ 8\ to\ both\ sides\n4x=31\ \ \ \ \ |divide\ both\ sides\ by\ 4\n\boxed{x=7.75}\n\nsubtitute\ the\ value\ of\$

1: 3x+2y=23
2: 1/2x-4=y
We have that y=1/2x-4 in 2
So lets substitu y in 1
3x+2(1/2x-4)=23
3x+x-8=23
4x=23+8
4x=31
X = 7,75
Now lets replace x in 2:
1/2.7,75-4=y
3,875-4 + y
Y= - 0,125
So (x;y)=(7,75;-0.125)

How many points of intersection will the following system of linear equations have? y = 9x, 3y = -3x - 5 a) 0 b) 1 c) 2 d) Infinite

Answers

Answer:

Step-by-step explanation:

given the system of equations

y = 9x → (1)

3y = - 3x - 5 → (2)

substitute y = 9x into (2)

3(9x) = - 3x - 5

27x = - 3x - 5 ( add 3x to both sides )

30x = - 5 (divide both sides by 30 )

x = - $(5)/(30)$ = - $(1)/(6)$

substitute x = - $(1)/(6)$ into (1) and solve for y

y = 9x = 9 × - $(1)/(6)$ = - $(9)/(6)$ = - $(3)/(2)$

point of intersection = ( - $(1)/(6)$ , - $(3)/(2)$ )

Solve to three significant digits 123= 500e ^ -0.12x

Answers

$500{ e }^( -0.12x )=123\n \n { e }^{ -\frac { 12 }{ 100 } x }=\frac { 123 }{ 500 } \n \n { e }^{ -\frac { 3 }{ 25 } x }=\frac { 123 }{ 500 }$

$\n \n { \left( { e }^( x ) \right) }^{ -\frac { 3 }{ 25 } }=\frac { 123 }{ 500 } \n \n { e }^( x )={ \left( \frac { 123 }{ 500 } \right) }^{ \frac { 1 }{ -\frac { 3 }{ 25 } } }$

$\n \n { e }^( x )={ \left( \frac { 123 }{ 500 } \right) }^{ -\frac { 25 }{ 3 } }\n \n \ln { \left( { \left( \frac { 123 }{ 500 } \right) }^{ -\frac { 25 }{ 3 } } \right) } =x$

$\n \n x=-\frac { 25 }{ 3 } \ln { \left( \frac { 123 }{ 500 } \right) }$

$\therefore \quad x\approx 11.7$

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