The sum of 3 and a number is less than 5 times the number plus 2

Answers

Answer 1

Answer:

The number is 3

Step-by-step explanation

Let  x  be the unknown number

"3 less than 5 times a number" -->  

5

x

3

"number increased by 9" -->  

x

+

9

The sum of 24

5

x

3

+

x

+

9

=

24

6

x

+

6

=

24

6

x=

18

x

=

3

Therefore, the number is 3


Related Questions

which operation would u do first 2 · 15 - 2 ÷ 5 (order of operation)

Answers

Answer:

Multiply 2*15

Step-by-step explanation:

2 · 15 - 2 ÷ 5

PEMDAS

Parentheses  none

Exponents  - none

Multiply and divide from left to right

2*15 = 30

Then 2÷5 = .4

30 - .4 = 29.6

Answer:

You would multiply first.

Step-by-step explanation:

The order of operations goes Multiplication or Division then Adding or Subtracting. The equation is 2 × 15 - 2 ÷ 5. Since there you have to multiply and divide you go left to right on the equation. This means that you multiply first.

Hope This Helps :)

What is the answer for this?

Answers

Answer:

is no

Step-by-step explanation:

Answer:

f(g(x)) = x - 39/4g(f(x)) = x - 39B. No

Step-by-step explanation:

Given functions:

f(x) = 1/4(x + 13)g(x) = 4(x - 13)

Simplified f(g(x)) and g(f(x))

f(g(x)) = 1/4(4(x - 13) + 13) = x - 13 + 13/4 = x - 39/4g(f(x)) = 4(1/4(x + 13) - 13) = x + 13 - 4*13 = x - 39

Checking if f(x) and g(x) are inverse functions:

f(x) = 1/4(x + 13), substituting f(x) and x, with x and g(x)x = 1/4(g(x) + 13)4x = g(x) + 13/4g(x) = 4x - 13/4

As we see g(x) is different from the given, so the functions are not inverse

How many liters are in 50 gallons of water? (Round to the nearest whole number and do not include units in your answer.) Note: There are 3.785 liters in a gallon

Answers

Answer:

190

Step-by-step explanation:

Answer:   189 liters

================================================

Work Shown:

1 gallon = 3.785 liters ..... given info

50*(1 gallon) = 50*(3.785 liters) .... multiply both sides by 50

50 gallons = 189.25 liters

50 gallons = 189 liters .... round to the nearest whole number

Solve this X/-6<12 .

Answers

Answer:

x >-72

Step-by-step explanation:

Please tell me the function( will mark as brainiest) thanks

Answers

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in the 2 points: [tex]m = \frac{16-8}{1-0}[/tex]

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

24 = 8(2)+b24 = 16 + bb = 8

We have now found the equation of the linear function: y = 8x+8

Write an equation in slope-intercept forra for the line that passes through (1, - 2) and (3, 7)

Answers

Answer:

y = 9/2x -6.5

Step-by-step explanation:

m = (7-(-2))/(3-1)

m = 9/2

b = -6.5

y = 9/2x -6.5

If
[tex]x - y = 12[/tex]
[tex] \sqrt{xy } = 3[/tex]
find the valve of
[tex] {x }^{2} + {y}^{2} [/tex]

Answers

Answer:

162

Step-by-step explanation:

[tex] { \sqrt{xy} } = 3[/tex]

[tex] = > ( { \sqrt{xy} })^{2} = {3}^{2} [/tex]

[tex] = > xy = 9[/tex]

Also ,

[tex]x - y = 12[/tex]

[tex] = > {(x - y)}^{2} = {12}^{2} [/tex]

[tex] = > {x}^{2} + {y}^{2} - 2xy = 144[/tex]

Putting the value of 'xy' above gives :-

[tex] {x}^{2} + {y}^{2} - 2 \times 9 = 144[/tex]

[tex] = > {x}^{2} + {y}^{2} = 144 + 18 = 162[/tex]

The final velocity of an object moving in one dimension is given by the formula v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.

Solve this equation for a.

a = (v + u)/t

a = t(v + u)

a = t(v – u)

a = (v – u)/t

Answers

Answer:

correct answer is a = (v - u)/t

Answer:

correct answer is a = (v - u)/t

Step-by-step explanation:

Find the standard form of the equation for the circle with the following properties.

Center (−6,−7/6) and tangent to the x-axis

Answers

Answer:

[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]

Step-by-step explanation:

So, we know that the center of the circle is at (-6, -7/6).

To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.

Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).

So, find our distance by subtracting our x-values:

[tex]d=r=0-(-7/6)[/tex]

Subtract:

[tex]d=r=7/6[/tex]

So, our distance, which is also our radius, will be 7/6.

Now, we can use the standard form for a circle, which is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:

[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]

We can confirm by graphing (using a calculator):

Victor is making recipes for smoothies. His first recipe calls for 2 cups of
strawberries and 7 cups of other ingredients. His second recipe says that 3
cups of strawberries are combined with 9 cups of other ingredients. Which
smoothie recipe has more strawberries compared to other ingredients? Use
ratio tables to justify your answer.

Answers

Answer:

His second smoothie recipe

Step-by-step explanation:

Given that Victor has two receipts for smoothies:

The first recipe requires 2 strawberries to 7 cups of other ingredients (2:7),

The second recipe requires 3 strawberries to 9 cups of other ingredients, (3:9).

Let's crate a ratio tables in order to determine which recipe has more strawberry compared to other ingredients.

Ratio tables for first Recipe:

Straw berry | Other ingredients

2 | 7

4 | 2(7) = 14

6 | 3(7) = 21

Ratio Table for Second Recipe:

Straw berry | Other ingredients

3 | 9

6 | 2(9) = 18

9 | 3(9) = 27

Comparing his first recipe and his second recipe, when using 6 strawberries, his second recipe requires more cups of strawberry compared to other ingredients (6:18) than that required in his first recipe (6:21).

Caden deposited $4,251 into a savings account 15 years ago. The account has an interest rate of 3.4% and the balance is currently $7,063.91. How often does the interest compound? a daily b monthly c quarterly d annually

Answers

Answer:

quarterly

Step-by-step explanation:

i just took the unit exam i got it right, its quarterly.

Determine which expressions could be used to help find each component of the ice cream cone. ( answer choices are in picture question 2 )

Answers

Answer:

1). a

2). b

3). c

4). d

Step-by-step explanation:

From the picture of a cone attached,

Radius of the circular top = r

Height of the cone = h

Slant height of the cone 'l' = 6

Area of the circular top of the cone with radius 'r' = πr²

Amount of space inside the cone = Volume of the cone = [tex]\frac{1}{2}\pi r^{2} h[/tex]

The amount of wrapper needed to cover the side of the ice cream cone, not including the circular top of the cone = πrl = πr(6 in.)

The vertical height 'h' of the cone when the cone is standing upright = [tex]\sqrt{6^2-r^2}[/tex]

[By Pythagoras theorem, l² = h² + r² ⇒ h = [tex]\sqrt{l^2-r^2}[/tex]]

the length of LO if M is between L and O, LM = 7x – 9, MO = 14 inches, and LO = 10x – 7.

Answers

LM+MO=LO

7x-9+14=10x-7

7x+5=10x-7

7x-10x+5-5=10x-10x-7-5

-3x=-12

 

-3x/-3=-12/-3

x=4

10*4-7

=40-7

=33 in.

The length of LO is 33 inches.

It is given that LM = 7x - 9.

MO = 14

LO = 10x - 7

What is an equation?

Equation is the combination of variables, constant and mathematical symbols.

M is between L and O  

                           LM + MO = LO

                       7x - 9 + 14 = 10x - 7

                      7x - 10x = -7 + 9 - 14

                         - 3x = - 21 + 9

                           - 3x = - 12

                             x = 12/3              

                               x = 4

So , putting the value of x in LO = 10x - 7

                                           

                                               LO = 10 (4) -7

                                                LO = 40 -7

                                                  LO = 33 inches

The length of LO is 33 inches.

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Which of the following expressions could be interpreted as "a number times negative seven added to five equals two"?
5-7 x = 2
5 + 7 x = 2
O-7X-5 = 2
OX-7+5 = 2
TURN IT IN
SUBMIT ANSWER
© ASK FOR HELP

Answers

Answer:

5-7 x = 2

Step-by-step explanation:

a number times negative seven added to five equals two

"a number times negative seven added to five equals two" is represented by expression 5-7x=2

What is Expression?

An expression is combination of variables, numbers and operators.

The given sentence is "a number times negative seven added to five equals two"

Here let us consider the unknown number to be x.

As in the sentence we have a number times negative seven.

Times in the sentence means product. So the number x is multiplied with -7. i.e is -7x

Now a number times negative seven added to five.

This means 5 is added to -7x

-7x+5

"a number times negative seven added to five equals two" means -7x+5 is equal to two

-7x+5=2

5-7x=2

Hence the "a number times negative seven added to five equals two" is represented by expression 5-7x=2

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Which fraction is represented by point a on the number line

Answers

-1/3 It cant be the others because -1 is already at the edge and is not the number, 1/3 is positive but -1/3 is left of zero, therefore negative and 1 is right of zero, so is positive.



-1/3 is the correct answer.

Answer:

the Answer is B

Step-by-step explanation:

A 16 ​-oz iced tea at a certain restaurant has 80 calories. How many calories are there in a 24​-oz iced​ tea?

Answers

Answer: 120-oz

80/16=5

5x24=120

Answer:

120 calories

Step-by-step explanation:

8 oz is 40 calories so an extra 8 oz is another 40 calories added onto the 80 from the 16 oz to equal 24 oz

Q2. What is the unit rate? Type 800 words in 12 minutes.

66 words per minute

Answers

The u it rate would be words per minute.

Divide total words by total minutes:

800/12 = 66.666 words per minute.

Round the answer to 66.7 or 67 depending on your choices.

712,350 - 342,802 round to the nearest ten thousands

Answers

Answer: 370,000

Step-by-step explanation:

712,350 - 342,802 round to the nearest ten thousands is 370,000.

What is rounding of digit?

Rounding is a process to estimate a particular number in a context.

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.

Now the given expression is,

712,350 - 342,802

Solving we get,

712,350 - 342,802 = 369,548

Now to round to the nearest ten thousands,

Digit at ten thousands is 6.

Digit to right of 6 is 9 which is greater than 5,

Thus round up the number.

So, we get 370,000.

Thus, 712,350 - 342,802 round to the nearest ten thousands is 370,000.

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Jason is solving a homework problem.

Arianna buys 4 boxes of granola bars. Each box contains 12 granola bars. Arianna eats 8 bars.

Jason writes a numerical expression to represent the situation. His expression, (12- 8) 4, has a mistake.

Complete the explanation of Jason's mistake.
and then subtracted 8 from this

Jason subtracted 8 from 12 when he should have multiplied 12 x
amount.

Enter an expression to show how many granola bars are left, and then solve it.

(12 x
- 8=
8=

Answers

Answer:

There are 54 granola bars left.

Evaluate the expression in number 1

Answers

Answer

elno  s un nmeuro edec iamalu

Step-by-step explanation:

Heather has the following averages in her math class:
Homework Avg.: 88
Quiz Avg.: 84
Test Avg.: 92
Final Exam: ??
If the teachers weights Homework at 20%, Quizzes at 20%,
Tests at 40%, and the Final Exam at 20%, what is the minimum
grade Heather can make on the final exam so that she scores a
90 in the class?

Answers

Answer:

94

Step-by-step explanation:

multiply the averages by their weighted percentage

x = final exam

88(.2) + 84(.2) + 92(.4) + x(.2) = 90

solve for x

x(.2) = 90 - 71.2 = 18.8

divide both sides by 0.2

x = 94

The length of a rectangle is 3 m greater than two times the width the perimeter of rectangle is 30 m what is the length of the rectangle

Answers

Answer:

180m

Step-by-step explanation:

What is the IQR of the data?
Some teenagers collected trash for a beach clean-up.
The data for the number of pounds of trash collected
by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
1 pounds
O 5 pounds
05.033 pounds
15 pounds

Answers

Answer:

b edge

Step-by-step explanation:

The interquartile range is 5.

Given,

The data for the number of pounds of trash collected by each teenager is shown below.

26, 26, 21, 22, 20, 25, 35

We need to find the interquartile range

What is the interquartile range?

It is given by:

= Q(3) - Q(1)

Q(3) = median of the upper half

Q(1) = median of the lower half.

Arrange in ascending order.

20, 21, 22, 25, 26, 26, 35

We have,

Lower half

Q(1) = 21

Upper half

Q(3) = 26

Interquartile range:

= Q(3) - Q(1)

= 26 - 21

= 5

Thus the interquartile range is 5.

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What is 4 1/2 as a decimal number

Answers

Answer:

4.25

Step-by-step explanation:

which one of the following distances is the longest. .1 meter, .001 km, 101 mm or 101 cm

Answers

Answer:

101cm

1000m= 1km,

When 1m is converted to km, it gives 0.001km=101mm.

Therefore the longest is 101cm because when we convert, we will get 1.1m.

Hope this answer will help

Melissa wants to cover a square table with tiles. if she uses exactly 100 tiles, which could be the length of one side?

Answers

Answer:

The length of one side is 25 tiles

Step-by-step explanation:

Given

[tex]Tiles = 100[/tex]

Required

Determine the length of one side

The given parameter represents the perimeter of the table

Since the table is a square, then

[tex]Perimeter = 4L[/tex]

Substitute 100 for Perimeter

[tex]100 = 4L[/tex]

Solve for L

[tex]L= 100/4[/tex]

[tex]L = 25[/tex]

Hence:

The length of one side is 25 tiles

Answer:

what is it then

Step-by-step explanation:

Name a point non-coplanar to plane Z

Answers

You should upload a picture to make your question easier to understand

Can someone help me please

Answers

Answer:

160000

Step-by-step explanation:

4 x 10^4 = 40000

2 x 10^5 = 200000

200000-40000=160000

hope this helps :)

Based on surveys, 97% of students own cell phones. What is the probability that 10 randomly selected
students all own cell phones? Round your answer to 4 decimal places.

Answers

Answer:

[tex]Probability = 0.7374[/tex]

Step-by-step explanation:

Given

Represent the probability that a student has a phone with p

[tex]p = 97\%[/tex]

Required

Determine the probability that 10 has

This is calculated as thus:

[tex]Probability = p^n[/tex]

Where n = 10

[tex]Probability = (97\%)^{10}[/tex]

[tex]Probability = 0.97^{10}[/tex]

[tex]Probability = 0.73742412689[/tex]

[tex]Probability = 0.7374[/tex] --- Approximated


Is the following relation a function?


Yes

No

Answers

Answer:

Step-by-step explanation: The answer of this question is functional because of the dilemma of fractions make it functional.

Answer: yes

Step-by-step explanation: I think that the least confusing way to do this problem is to first write down the ordered pairs that are represented by this mapping diagram.

So we have {(6, -1), (-1, 2), (4, 3), (0, 3)}.

In order for this relation to be a function, the x-coordinate can only

appear once unless we have the same ordered pair more than once.

Since each x-coordinate does appear once, it must be a function.

Students often make the mistake of saying this relation is not a function

because we have the same y-coordinate in two different ordered pairs, 3.

In other words, looking at the mapping diagram students will say that this relation is not a function because we have two x's paired with the same y.

Remember however that the definition of a function doesn't

say that each x must be paired with a different y.

It says that each x must be paired with exactly one y.

So in summary, a function can have the same y-coordinate in

two different points, just not the same x-coordinate.

The exception to this would be if the same ordered pair

is listed more than once in which it would be a function.

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