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3 years ago

Five times the difference of a number and twelve is greater than forty.

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

Answer:

This is the value in numbers.

5(n-12)>40

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(n−12)>40

Step 1: Simplify both sides of the inequality.

5n−60>40

Step 2: Add 60 to both sides.

5n−60+60>40+60

5n>100

Step 3: Divide both sides by 5.

100

n>20

Answer:

n>20

sattari [20]3 years ago

5 0

Answer:

so, the required inequality is : -

=》5(x - 12) > 40

and it's solution: -

=》x > 20

Step-by-step explanation:

here's the solution : -

let the number be x

difference between the number and 12 is :-

=》x - 12

five times the difference of a number and 12 is :-

=》5(x - 12)

and we know this is greater than forty

so, the inequality will be : -

=》5(x - 12) > 40

now solving the inequality : -

=》x - 12 > 40 ÷ 5

=》x > 8 + 12

=》x > 20

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At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio

Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

$FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup$

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0

4 years ago

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

zaharov [31]

Answer:

The y-intercept is -1

The x-intercept is 4.5

Step-by-step explanation:

We have the following equation:

f(x) = log(2x+1) - 1

The y intercept is the value of f(x) when x is equal to 0, so replacing x by 0 and solving for f(x), we get:

f(0) = log(2*0 + 1 ) -1

f(0) = log(1) - 1

f(0) = 0 - 1 = -1

Additionally, the x-intercept is the value of x when f(x) is equal to 0. So, replacing f(x) by 0 and solving for x, we get:

$0 = log(2x + 1) - 1\\1 = log(2x + 1)\\10^1=10^{log(2x + 1)}\\10 = 2x + 1\\10 - 1 = 2x\\4.5 = x$

3 0

3 years ago

What is the image point of (4, -6) after a translation right 5 units and up 4 units?

Ivan

Answer:

Coordinate point of the image is (9, -2)

Step-by-step explanation:

In the coordinate point (4, -6);

=> x-value = 4

=> y-value = -6

We know that the translation of;

=> 5 units right would add 5 to the x-value

(x) + 5 = (4) + 5
9 <= This is the x-value of the image being created by the translation.

=> 4 units up would add 4 to the y-value

(y) + 4 = (-6) + 4
-2 <= This is the y-value of the image being created by the translation.

Therefore the answer; (x, y) => (9, -2)

Hope this helps!

4 0

3 years ago

Write ab in terms of a and b

baherus [9]

Answer:

a multiple b

Step-by-step explanation:

a x b = ab

eg. a = 5 , b = 2

ab = 5x2

8 0

3 years ago

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What is the equation of this line? y=1/2x-3 y=-1/2x-3 y=-2x-3 y=2x-3

quester [9]

Answer:

y=1/2x-3

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. The slope is 1/2 and the y-intercept is -3. Hope this helps!

6 0

3 years ago

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