If three times a number is increased by 24, the result is 16 less than seven times the same number. Find the number.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

let x = unknown number

three times x is increased by 24

so 3x + 24

this is equal to 16 less than 7 times x

so 3x + 24 = 7x - 16

we now solve for x

3x + 24 = 7x - 16

add 16 to both sides

3x + 24 + 16 = 7x - 16 + 16

3x + 40 = 7x

subtract 3x from both sides

3x - 3x + 40 = 7x - 3x

40 = 4x

divide both sides by 4

40/4 = 10

4x / 4 =x

x=10

the unknown number is 10


Related Questions

Factor the expression of 2x squared + 7x -4

Answers

Answer:

(2x−1)(x+4)

Step-by-step explanation:

2x2+7x−4=(2x−1)(x+4)

Please help me answer these questions I keep getting 60% and I can’t move on unless I have 70%

Answers

I think that it is The third one

A basket of fruit contained 5 oranges, 5 apples, 3 bananas, and 2 grapefruit. What percent of the basket were bananas

Answers

Answer:

20%

Step-by-step explanation:

The percentage score for 3 out of 15 is 20.00%.

Evaluate x/y if x= 4/5 and y= −0.1 . Write your answer in simplest form.

Answers

Answer:

-8

Step-by-step explanation:

given x as 4/5   and y =  - 0.1...

converting x to decimal it becomes 0.8

we then input values for x and y in the equation x/y

x/y =   0.8 /  -0.1  =   -8

The value of the fraction x/y is -8.

Given that, x= 4/5 and y= −0.1.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

To find the value of fraction x/y:

Here, x=4/5 = 0.8

Now, x/y = 0.8/(-0.1)

= -8

Hence, the value of the fraction x/y is -8.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ5

pact cameras are as follows:
185, 165, 250, 170, 220, 160, 215, 300, 180, 95, 150, 210, 180, 180
Find each of the following for the data:
a.) mean
b.) median
c.) mode
d.) midrange
e.) range
of the
f.) variance
g.) standard deviation
Molisivab babae

Answers

Answer:

In step by step

Step-by-step explanation:

Your mean is 190.

Your median is 180 because it is in middle.

Mode is also 180 because it appears most often

Range 205 because 300-95

Variance= without decimals/2346

Standard deviation without decimals /48

Hope it helps :}       have a great day!

if x + y = 12 and x * y = -360 what are the values of x and y

Answers

Step-by-step explanation:

x + y = 12

x × y = -360

we need to transform one equation into an identity of one variable being expressed by the other variable.

e.g. the first equation gives us

x = -y + 12

and then we use that in the second equation :

(-y + 12) × y = -360

-y² + 12y = -360

y² - 12y - 360 = 0

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = y

a = 1

b = -12

c = -360

y = (12 ± sqrt(144 - 4×1×-360))/2 =

= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =

= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =

= 6 ± 6×sqrt(11)

y1 = 6 + 6×sqrt(11) = 25.89974874...

y2 = 6 - 6×sqrt(11) = -13.89974874...

x1 = -y1 + 12 = -13.89974874...

x2 = -y2 + 12 = 25.89974874...

so, we see, they are interchangeable.

the solution is either

x = 25.89974874...

and

y = -13.89974874...

or

x = -13.89974874...

and

y = 25.89974874...

A bicycle has a listed price of $556.98 before tax. If the sales tax rate is 8.75% find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

Total Price with Tax: $ 605.72

Step-by-step explanation:

We can write an equation for the total cost of the bicycle as:

C=p+(t×p)

Where:

C is the total cost we are trying to calculate.

p is the list price - $556.98

t is the tax rate - 8.75%. "%" means "out of 100" or "per 100", Therefore 8.75% can be written as 8.75 [tex]\frac{x}{100}[/tex].

Substituting and solving for C gives:

C = $556.98([tex]\frac{8\\.75}{100}[/tex]×$556.98)

C = $556.98+$48.74

C = $605.72

For each inequality, find two For each inequality, find TWO values for that make the inequality true.
X+3>70
A. 61
B. 66
C. 50
D. 67
E. 70

Answers

Answer: Choice D and Choice E

Explanation:

Subtract 3 from both sides

x+3 > 70

x+3-3 > 70-3

x+0 > 67

x > 67

Any number larger than 67 will make the original inequality to be true.

Unfortunately, only E) 70 fits the description.

D) 67 won't work since 67 > 67 is false.

However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.

So I'll assume that this is the inequality you meant to type out.

At 8 a.m., the temperature in Phoenix, Arizona, is 74°F. The Temperature increases 25% by 11 a.m. and another 20% by 2 p.m. What is the temperature at 2 p.m.? Round your answer to the nearest tenth of a degree Fahrenheit.
(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is 111.0 °F)

Answers

The final temperature is original temp + original temp * temp increase

74+74*0.25=92.5

(another increase)

92.5+92.5*0.2=111

Final: 111degrees

The mapping diagram shows a functional relationship. Domain Range Complete the statements. f(4) is ___ f(x) = 4 when x is ___​

Answers

Answer:

f(4) is 1/2

f(8) is 4

Step-by-step explanation:

Remember that the range is the output so when you have f(anything) that anything is the domain (x) and the =anything is the y value.

A bowl has a radius of 3 inches. What is the circumference of the bowl?

Answers

Answer:

9.42 (sorry if im late)

Step-by-step explanation:

I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence

3.14 x 3 = 9.42

how many lines of symmetry does this rectangle have?

Answers

Answer:

sorry I don't know

Step-by-step explanation:

you have no image I can't tell

Answer: 2

Step-by-step explanation:

Rectangles have 2 lines of symmetry. One of them is vertically down the middle, and the other one is horizontally down the middle lengthwise. However, you can not draw the 2 symmetry lines diagonally in a rectangle from each corner to the opposite corner. An image is attached for a reference/example of this.

I hope this helps!

If BS = 9 and AB = 14, what is the measure of AS? Round to the nearest hundredth. Show all your work.

Answers

Answer:

When a radius meets a tangent the angle is always 90° and the length of the radius stays constant

So you can do pythagoras theorem

A2+b2=c2

9^2+14^2=C^2

C= 16.64

C~17

will give brainlist and 30 points

Answers

Answer:

what are you asking

Step-by-step explanation:

what are u asking

Which graph represents the solution of |–2 + (x – 3)| < 7?

Answers

Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

I dont know how to do this. My teacher said we had to use the X method and im so confused. please help​

Answers

Answer:

use distribution and multiply by the variable of x

i am your teacher and i knew youd ask this question so i got on here i knew i could catch you, i want you in the principals office tommorrow after my class, understood?

Step-by-step explanation:

Charity and timothy collect stamps. Timothy collected 17 fewer than three times the number of charitys stamps. Altogether, they collected 527 stamps. How many stamps did charity and timothy collect?
Charity collected _____
timothy collected____

Answers

Let

charity collected=xTimothy collected=3x-17

ATQ

[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x=544[/tex]

[tex]\\ \tt\hookrightarrow x=136[/tex]

Charity=136Timothy=527-136=391[/tex]

pls help me i need the answer

4672 x 47 will mark brainlists

Answers

The answer is 4672x47= 219584

In how many ways can the letters in the word spoon be arranged?

a. 24
b. 30
c. 60
d. 120

Answers

I search and found different answers but the nearest is 24

determine slope and what it represents!

Answers

Answer:

15 is the slope, it means you make $15 an hour

Step-by-step explanation:

$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.

Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 29. 11 feet 75. 18 feet 128. 67 feet 219. 80 feet.

Answers

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft

Find 3 consecutive integers that is 3 times the smallest is 32 more than the largest

Answers

Answer:

10,11,12

Step-by-step explanation:

32-2/3=smallest

The thesis statement, the theme or central idea of a speech, should be expressed as.

Answers

The thesis statement expresses the goal of the speech, whereas the specific purpose statement expresses the theme or central idea of the speech. ... Transitions should only be used between the introduction and the body of your speech.


[tex] \frac{10 {}^{6} }{10 {}^{ - 3} } [/tex]
simplify. ​

Answers

Answer:

1,000,000,000

Have a great day! :D

[tex] \frac{10 {}^{6} }{10 {}^{ - 3} } \\ {10}^{6 + 3} \\ {10}^{9} [/tex]

Tori received $28.50 for 2 hours of work. How
much did she earn if she worked 15 hours?

Answers

Answer:

Hey! I hope this helps. I used ratio, I divided $28.50 by 2 to find out how much she worked for in an hour then I multiplied by 15.

CHOOSE ALL THAT APPLY
Which statements about geometric sequences are true?
There is more than one correct answer. Select all that apply.
-Geometric sequences have a common difference between terms.
-Geometric sequences can have a first term of 0.
-Geometric sequences are restricted to the domain of natural numbers.
-Geometric sequences have a common ratio between terms.
PLSSSS HELPPPPP

Answers

Answer:

Geometric sequences have a common ratio between terms.  TRUE

hope it helped ;-;''

Wym has a packet of 50 biscuits she gives half of them to her friend and then eats 8 how many are left

Answers

Answer:

17 biscuits

Step-by-step explanation:

Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.

Yay is making jam. The recipe calls for 3 strawberries for each apple

Answers

Answer:

3 into 1 apple so if u have 3 apples u need 9 strawberrys

Step-by-step explanation:

Pre Ap Geometry, the circled ones are the ones I need help with!

Answers

Answer:

Yo hope you do not get in trouble for plagiarism

Step-by-step explanation:

need help on this question.

Answers

[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]

If you are wondering why 2x = 74 then, vertically opposite angles are always equal.

The top is correct :) have a great day
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