Translate to the correct equation: The sum of 24 and three times a number is 57 *
Translate into an inequality: Six less than double a number is less than 18.

Answers

Answer 1

Answer:

EQUATION:  24 + 3X = 27. INEQUALITY: 2X - 6 < 18.

Step-by-step explanation:

For the equation:

"A number" means that we do not know what the number is yet. So it is a variable. I chose the variable, "X."

"The SUM of 24 AND" means we are adding 24 to something. So what we have so far is "24 + ..."

"3 times a number" means we are multiplying 3 by the unknown variable X. So 3X. What we have so far is "24 + 3X..."

"is 57" means that everything we've just stated equals 57.

Our entire equation is: 24 + 3x = 27.

For the inequality:

Inequalities mean that two expressions are NOT equal to each other.

"6 less than" means that we subtract 6. So we have,"6 - ..." so far.

"Double a number" means 2 times a number, which we are saying is X. So "2X."

" is less than 18" means that everything we just said is less than the value of 18.

So the whole inequality is: 2X - 6 < 18.


Related Questions

Need help -2<2×-3<1​

Answers

Answer:

[tex]-2 < 2x - 3 < 1 \ = \ \frac{1}{2} < x < 2[/tex]

Step-by-step explanation:

[tex]-2 < 2x - 3 < 1\\\\-2 + 3 < 2x - 3 + 3 < 1 + 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ adding \ by\ 3 \ ]\\\\1 < 2x + 0 < 4\\\\1 < 2x < 4\\\\\frac{1}{2} < \frac{2x}{2} < \frac{4}{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ divide \ by \ 2 \ ]\\\\\frac{1}{2} < x < 2[/tex]

Answer:

1/2 < x < 2

Step-by-step explanation:

-2<2x-3<1​

Add 3 to all sides

-2+3<2x-3+3<1​+3

1<2x<4

Divide all sides by 2

1/2 < 2x/2 <4/2

1/2 < x < 2

Which of the following is the solution set for -3t + 11 > 20?

t < 3
t > 3
t < -3
t > -3

Answers

Answer:

t < -3

Step-by-step explanation:

-3t + 11 > 20

subtract 11 from both sides

-3t > 9

Divide both sides by -3

when multipying or dividing by a negative the inequality must be reversed

t < -3

What is the value of x when h(x) = -3?

Answers

Answer and Step-by-step explanation:

The answer is -7 (A.)

This is determined by looking at the graph. If you to to the x-point of -3 units, you will see there is a point at a y-value of -7 (units down).

#teamtrees #PAW (Plant And Water)

Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?


Please I need it fast

Answers

Answer:

12y

Step-by-step explanation:

1. Brad invested $2,300 in a corporate bond
that pays 14% interest compounded
continuously. How long will it take
Brad's investment to triple?

Answers

Given:

Principal value = $2300

Rate of interest = 14% compounded continuously.

To find:

The time taken by Brad's investment to triple.

Solution:

The formula for amount after the compound interest (Continuously) is:

[tex]A=Pe^{rt}[/tex]

Where, P is the principal, r is the rate of interest in decimal and t is the time period.

Triple of Brad's investment is

[tex]3\times \$ 2300=\$ 6900[/tex]

Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get

[tex]6900=2300e^{0.14t}[/tex]

[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

Taking natural log on both sides, we get

[tex]\ln 3=\ln e^{0.14t}[/tex]

[tex]1.0986=0.14t[/tex]                [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.0986}{0.14}=t[/tex]

[tex]7.84714=t[/tex]

After approximating the value, we get

[tex]t\approx 7.85[/tex]

Therefore, Brad's investment will take 7.85 years to triple.

How would I do this?

Answers

Answer:

you can do it

Step-by-step explanation:

by using your brain

What is the decay factor in the exponential decay function y=a (1-r) t

Answers

Answer:

in this form, the "-r" would cause the result to decrease

I assume that the answer is "r"

if r = .1 (10 %) then 1-.1 = .9

if you have 100 items then y = 100(.9)^1 = 90

the total decreased by 10% ... y = 100(.9)^2 after 2 time periods

Step-by-step explanation:

Is the following shape a rectangle? How do you know?

Answers

Is there a picture? Because I am not sure if it’s a rectangle or not

HELP PLEASE I WILL GIVE BRAINLY TO CORRECT ANSWER PLS.
2 The graphs of y = 3x + 7x – 4 and y + 2x = 10 intersect at the points A and B.
Find the coordinates of A and B.
You must show all your working and give your answers correct to two decimal places.

Answers

Answer:

Check the text of the exercise, there is something wrong

Step-by-step explanation:

y=10x-4

y=-2x+10

These are two stright lines, they meet in one point only, P(7/6, 23/3)

Please help I really need ur help please

Answers

Answer:

y = 3x - 30

Step-by-step explanation:

First, put both equations into slope-intercept form.

x + 3y - 4 = 0

3y = -x + 4

y = (-1/3)x + (4/3)

2x + 5y - 20 = 0

5y = -2x + 20

y = (-2/5)x + 4

For a line to be perpendicular to y = (-1/3)x + (4/3), its slope should be the opposite and reciprocal of this line's slope.

The slope of y = (-1/3)x + (4/3) is (-1/3). The slope of a perpendicular line is 3.

To find the x-intercept of y = (-2/5)x + 4, plug in 0 for y and find x.

0 = (-2/5)x + 4

x = 10

The equation of the line right now is y = 3x + b

Plug in (10, 0) to find the y-intercept.

0 = 3(10) + b

b = -30

The equation of the line is y = 3x - 30

Evaluate f(3)

A. 18
B. 12
C. 4
D. 21

Answers

C


Thanks me later, pa brainliest po ako....

Answer:

the answer is c you will thank us later

pls help if I get this right you get brainlist if not you will get a 1 star​

Answers

The answer is the last one (15+6)+3

Answer:

(15+6)÷3

hope it helps!!

The temperature rose by 15°C from morning till noon. If the temperature
was less than 50°C at noon, write and solve an inequality to show the
possible temperature in the morning (use t to represent the temperature
in the morning)

Please help meeee

Answers

Step-by-step explanation:

answer is in photo above

a shop sells three types of boots (football, rugby and hiking) sales are usually in the ratio 6:2:3
last month 24 pairs of football boots were sold
how many boots altogether were sold last month

Answers

Answer:

44

Step-by-step explanation:

divide 24 by 6 then multiply it by all the number then add it all

please make me brainliest

There are 30 students in Mr. Shawn’s class and 60% of the students are above 12 years old. How many students are above 12 years old?

Answers

Answer:

the answer is a 18 as 60 percent of 30 is 18

hope it helps

the answer to this question

Answers

Answer:

1 square unit

Step-by-step explanation:

Area of the shaded region

= Area of the triangle with base 3 units and height 1 unit - Area of triangle with base 1 unit and height 1 unit.

= 1/2 *3*1 - 1/2 *1*1

= 1.5 - 0.5

= 1 square unit

Convert 4years to months. ​

Answers

Answer:

56 months 12+12x2=56 hope this helps

Step-by-step explanation:

if shreeja wants to level her garden of length (2z+5) metre and breadth (2Z-3) metre, then the area of garden is ___________​

Answers

Answer:

4z²+4z-15 Square Metre  

Step-by-step explanation:

According To The Question,

Given, Shreeja wants to level her garden of length (2z+5) metre and breadth (2z-3) metre.

Area Of Garden = Length × Breadth

Area Of Garden = (2z+5) × (2z-3)

Area Of Garden = 4z²-6z+10z-15

Area Of Garden=4z²+4z-15 Square Metre

|x - 3|<5

Pls solve this you need to rewrite it without modulus sign and explain as well

Answers

Answer:

-2< x< 8

Step-by-step explanation:

|x-3|<5 <=> -5<x-3<5 <=> -2<x<8

..

Answer:

-2x<8

Step-by-step explanation:

|x-3|<5<=> -5<x-3<5 <=>-2<x<8

.....

Please helpppp

Graph the system of inequalities {y>2x+1/ y>|x|. Which two quadrants does the solution lie in?

Answers

Answer:

Option (1)

Step-by-step explanation:

We have to graph the system of inequalities given.

y > 2x + 1 -----(1)

y > |x| --------(2)

For inequality (1),

Solution area will be the area above the dotted line y = 2x + 1

Similarly, solution area of the second inequality will be the area above the dotted lines of y = |x|

Solution area of the system of inequalities will be the common area of both the graphs of the given system.

That will lie in quadrants 1 and 2.

Option (1) will be the answer.

Please halp due today its fill in the blanks dont do it randomly please


fill in the blanks with the words at the bottom

Answers

1. Biome
2. Desert
3. Dry
4. Temperature fluctuation
5. Sahara
6. Desert pavement
7.Adaptation
8. Water loss
9. Cacti
10. Sonoran

(1.8 + 1.3) + 0.7 = 1.8 + (1.3 + 0.7) is an example of which property?

Answers

Answer:

Associative property

Step-by-step explanation:

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Hope this helps

What is the solution to the system of equations?
Support your answer and justify your reasoning.
Answer in complete sentences.

Answers

Answer:

The solution to the system is (-2,6)

Step-by-step explanation:

I said the solution to the system is (-2,6) because that is where both lines cross, meaning that's the solution.

Hope this is hepful.

A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72, then find the numbers.

Answers

Answer:

Our two numbers are:

[tex]2+4\sqrt{2} \text{ and } 4\sqrt{2}-2[/tex]

Or, approximately 7.66 and 3.66.

Step-by-step explanation:

Let the two numbers be a and b.

One positive real number is four less than another. So, we can write that:

[tex]b=a-4[/tex]

The sum of the squares of the two numbers is 72. Therefore:

[tex]a^2+b^2=72[/tex]

Substitute:

[tex]a^2+(a-4)^2=72[/tex]

Solve for a. Expand:

[tex]a^2+(a^2-8a+16)=72[/tex]

Simplify:

[tex]2a^2-8a+16=72[/tex]

Divide both sides by two:

[tex]a^2-4a+8=36[/tex]

Subtract 36 from both sides:

[tex]a^2-4a-28=0[/tex]

The equation isn't factorable. So, we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -28. Substitute:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-28)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{4\pm\sqrt{128}}{2}=\frac{4\pm8\sqrt{2}}{2}=2\pm4\sqrt{2}[/tex]

So, our two solutions are:

[tex]\displaystyle x_1=2+4\sqrt{2}\approx 7.66\text{ or } x_2=2-4\sqrt{2}\approx-3.66[/tex]

Since the two numbers are positive, we can ignore the second solution.

So, our first number is:

[tex]a=2+4\sqrt{2}[/tex]

And since the second number is four less, our second number is:

[tex]b=(2+4\sqrt{2})-4=4\sqrt{2}-2\approx 3.66[/tex]

Answer:

[tex]2+4\sqrt{2}\text{ and }4\sqrt{2}-2[/tex]

Step-by-step explanation:

Let the large number be [tex]x[/tex]. We can represent the smaller number with [tex]x-4[/tex]. Since their squares add up to 72, we have the following equation:

[tex]x^2+(x-4)^2=72[/tex]

Expand [tex](x-4)^2[/tex] using the property [tex](a-b)^2=a^2-2ab+b^2[/tex]:

[tex]x^2+x^2-2(4)(x)+16=72[/tex]

Combine like terms:

[tex]2x^2-8x+16=72[/tex]

Subtract 72 from both sides:

[tex]2x^2-8x-56=0[/tex]

Use the quadratic formula to find solutions for [tex]x[/tex]:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] for [tex]ax^2+bx+c[/tex]

In [tex]2x^2-8x-56[/tex], assign:

[tex]a\implies 2[/tex] [tex]b \implies -8[/tex] [tex]c\implies -56[/tex]

Solving, we get:

[tex]x=\frac{-(-8)\pm \sqrt{(-8)^2-4(2)(-56)}}{2(2)},\\x=\frac{8\pm 16\sqrt{2}}{4},\\\begin{cases}x=\frac{8+16\sqrt{2}}{4}, x=\boxed{2+4\sqrt{2}} \\x=\frac{8-16\sqrt{2}}{4}, x=\boxed{2-4\sqrt{2}}\end{cases}[/tex]

Since the question stipulates that [tex]x[/tex] is positive, we have [tex]x=\boxed{2+4\sqrt{2}}[/tex]. Therefore, the two numbers are [tex]2+4\sqrt{2}[/tex] and [tex]4\sqrt{2}-2[/tex].

Verify:

[tex](2+4\sqrt{2})^2+(4\sqrt{2}-2)^2=72\:\checkmark[/tex]

A bicycle tire has a radius of 10 inches. To the nearest inch, how far does the tire travel when it makes 4 revolutions?

Answers

Answer: 251.2 inches.

Step-by-step explanation: You have to multiply 4*2*π*radius. So, simply multiply 4*2*3.14*10. It would come out as 251.2 inches.

Martin had 60kgs of sugar. He put the sugar weighing 3/4 kg. How many packets did he fill ??

Answers

Answer:

45kg

Step-by-step explanation:

60.3/4=45

Mrs. Laser is building a new space for her chickens. She has 80 feet of fencing. What is the greatest fencing area she could create using fencing?

Answers

Answer:

400 ft^2

Step-by-step explanation:

It can be shown that a square area is the most efficient way in which to use fencing.  If the area is not square, the area will inevitably be smaller.  

Calculus is the tool most often used in higher math to solve optimization problems.  

But the same goal can be achieved in this problem by working with constraints:  

If x and y are the length and width respectively, then

2x + 2y = 80 ft, or x + y = 40, or x = 40 - y.  This is one constraint.  

The other constraint involves the area:  A = x*y, or A = (40 - y)*y.  To maximize this, we need to rewrite (40 - y)*y in standard form:

A = 40y - y^2, or, finally, A = -y^2 + 40 y.  The coefficients of this quadratic are -1, 40 and 0; the axis of symmetry is thus

x = -b/ [2a], or, in this case, x = -40/[2*(-1)], or x = 20.

Thus, If x = 20, y = 20 also, proving that the shape of the enclosed yard is that of a square.

Then Mrs. L' 80 feet of fencing is sufficient to construct a 20 ft by 20 ft space, which comes out to a maximum area of 400 ft^2.

40 -

400ft hope this helps you out

Instructions: Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e.
"/"). If the slope is undefined, enter "undefined

Answers

Answer:

Δy = 5  Δx = 1

slope = [tex]\frac{5}{1}[/tex] = 5

Step-by-step explanation:

2 more than the sum of y and x as an algebraic expression​

Answers

Answer:

(x+y)+2

hope this helps

If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)

Answers

Answer:

5x=13.5

Step-by-step explanation:

Well, we know that 1x=2.7. So, if we want 5x we need to multiply 2.7*5 becuase 1x=2.7, so 5x=2.7*5.

Multiply. 2.7*5=13.5

So, 5x=13.5.

Hope this helps!

Answer:

13.5

Step-by-step explanation:

5x = ?

Replace 'x' with 2.7.

5(2.7) = ?

5(2.7) = 13.5

Hope this helps.

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