Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?

Answers

Answer 1

Answer:

The value of a is 52.

Step-by-step explanation:

Ten less than 5 times the value of a number

5a - 10

is equal to 10 times the quantity of 12 more than one-fourth of the number.

This means that:

[tex]5a - 10 = 10(12 + \frac{a}{4})[/tex]

If a is the number, what is the value of a?

Solving the equation:

[tex]5a - 10 = 120 + 2.5a[/tex]

[tex]2.5a = 130[/tex]

[tex]a = \frac{130}{2.5}[/tex]

[tex]a = 52[/tex]

The value of a is 52.


Related Questions

Solve for x:

3-a/x-a=1/a

PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answers

x=a(4a-1)/1-3a
hope this helps!!

          a2 (exponent 2)

x= - _______

        1 - 3a + a2 (exponent 2)

                  Mark brainliest please.

3. The table gives the coordinates of a
triangle that was rotated 90° clockwise.
Which rule correctly describes the
rotation?
Pre-image
A (4,5)
B (7,8)
C (3, 1)
Image
A' (5,-4)
B' (8,-7)
C' (1, -3)
A
B
(-x, y)
(y, x)
с
D
(x,-y)

Answers

Answer:

B

Step-by-step explanation:

Look at the X and Y coordinates carefully. X and Y coordinates are swapped and Y coordinate got negative sign.

A cell phone company charges $45 per month plus $10 per GB of data used above your limit. If your total bill was $79, write and solve and equation to find how much data was used above the limit?

Answers

x = 50 because x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.



Which expression gives the distance between the points (5, 1) and (9,-6)?

Answers

9514 1404 393

Answer:

  C.  √((5-9)² +(1+6)²)

Step-by-step explanation:

The distance formula can be written ...

  d = √((x1 -x2)² +(y1 -y2)²)

Filling in the given point coordinates, this becomes ...

  d = √((5 -9)² +(1 -(-6))²)

Simplifying the signs, this becomes ...

  d = √((5 -9)² +(1 +6)²) . . . . . matches choice C

They are similar solve for y

Answers

Answer:

y = 3

Step-by-step explanation:

the figure on the right is similar, except the lengths are half as big as the figure on the left. the missing segment, PR, corresponds to FH on the other figure, which is 6. 6/2 = 3, so PR, or y, is 3.

Find the slope of the line passing through the points (-4,-5) and (3, -5).

Answers

I checked my answer on a graph and the line turned out to be horizontal. When the line is horizontal it is called a zero slope line. There is no slope.

HELPP MEE!!!!

IS the histogram below symmetrical?

..


Is it skewed to the right or left?


how many peaks does it has?

Answers

Skewed is right I think

help plsssssssssssssssss I BEGGGGGG

Answers

A - non equivalent
B - equivalent
C - Equivalent

| Which expression is equivalent to m+ m - (m + 1)? m+ 3 А oolw colw 1 B. inloo C 3 5 mt 8 1 D 3 8 m 5 8​

Answers

Answer:

C? I dont really know.

Step-by-step explanation:

but

if

I

am

right

plz

give

brainliest

Find the properties of each Quadratic Function

Answers

Down(-2, 1)-2Maximum1All real numbersy < 1-3-3 and -12

1. If x and y are vertical angles, then y _____ has the same measure as x.

2. If x and y are adjacent angles, then x and y are ____ acute

Fill in blank with (sometimes, never, always)



Someone please help me for brainliest and 30 points. Please DO NOT answer if u don’t know. And do not put in the comment here’s a link cause it leads to no where. Ty.

Answers

Answer: 1. Sometimes  2. Always

Step-by-step explanation:

I am pretty sure these are right.

1.36 km is how many cm

Answers

Answer:

136000 cm

Step-by-step explanation:

I think it's helps you

7. Using the information from question #6, after how many
years will the amount of the original loan double if Omar
makes no payments on the loan?
F. 7 years
G. 8 years
H. 9 years
10 years

Answers

Answer:

the answer would be F

Step-by-step explanation:

What is the volume of this figure

a
12 cubic units
b
16 cubic units
c
28 cubic units
d
40 cubic units

Answers

Answer:

c

28 cubic units

Step-by-step explanation:

Asap: please can you help me with this question

Find the range of values for which
x2–5x + 6 < 0

Answers

Answer:

Step-by-step explanation:

x^2 - 5x + 6 = 0

(x - 2)(x - 3)

So the critical point are x = 2 and x = 3.

The graph of the function opens upwards and pass through the x axis at (2, 0) and (3, 0).

So the required range is the values of f(x) between  when x = 2 and x = 3

that is  2 < x < 3.

Answer:

Step-by-step explanation:

1 Factor {x}^{2}-5x+6x

2

−5x+6.

(x-3)(x-2)<0

(x−3)(x−2)<0

2 Solve for xx.

x=3,2

x=3,2

3 From the values of xx above, we have these 3 intervals to test.

\begin{aligned}&x<2\\&2<x<3\\&x>3\end{aligned}

 

x<2

2<x<3

x>3

4 Pick a test point for each interval.

For the interval x<2x<2:

Let's pick x=0x=0. Then, {0}^{2}-5\times 0+6<00

2

−5×0+6<0.

After simplifying, we get 6<06<0, which is false.

Drop this interval..

For the interval 2<x<32<x<3:

Let's pick x=\frac{5}{2}x=

25

. Then, {(\frac{5}{2})}^{2}-5\times \frac{5}{2}+6<0( 25) 2−5× 25+6<0.

After simplifying, we get -0.25<0−0.25<0, which is true.

Keep this interval..

For the interval x>3x>3:

Let's pick x=4x=4. Then, {4}^{2}-5\times 4+6<04 2 −5×4+6<0.

After simplifying, we get 2<02<0, which is false.

Drop this interval..

5 Therefore,

2<x<3

2<x<3

ANSWER AND STEPS PLEASE

A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches. What is the approximate volume of the basketball in cubic inches?

Answers

Answer:

Step-by-step explanation:

V sphere = (4/3) π r³    r = 4.7 inches

               = (4/3) π 4.7³            use calculator now

               = 435 in³

What is the length of a rectangle who’s permitter is P if the width is 6

Answers

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

Step-by-step explanation:

Hope this helps!

You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a 6 and flipping tails is

You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a number less than 3 and flipping tails is
.
You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a number less than 3 and flipping tails is
.
.

Answers

Answer:

1/6*1/2=1/12

Step-by-step explanation:

You basically multiply the probability of getting 1 which is 1/6 out of the total and the probability for getting heads is 1/2 because there are 2 outcomes heads or tails.

So then you multiply them to get the probability of both of them so thats why it is 1/12

Answer:

2/10

Step-by-step explanation:

We can get 2/10 by multiplying the probability of the spinner and the coin because the question wants the compound probablity.

Since there is 2 numbers less than 3 on the spinner and a 50 50 chance of getting tails, 2/5 * 1/2 is 2/10.

4|y - 2| - 16 = 0
Rewrite the equation above in standard form and determine if there is a solution,

Answers

Answer

In standard form, the equation is y=4|x+16|+2

Step-by-step explanation:

I included a graph as well

The requried solution of the given expression is y = 6 and -2.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,

Simplifying the equation as to form standard form.
4|y - 2| - 16 = 0
4|y - 2| = 16
y - 2 = ± 4,

Now,
y - 2 = 4         ; y - 2 = - 4
y = 6              ; y = -2

Thus, the requried solution of the given expression is y = 6 and -2.

Learn more about equations here:

brainly.com/question/10413253

#SPJ2

THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCHHHH!!

Answers

Answer:

If you are finding area then the area is 254.34

Step-by-step explanation:

Area of a circle- 3.14 times radius squared

3.14 (pi) times 81 (9 squared)

Corresponding angles are congruent which angle corresponds with <4?

Answers

Answer:

<8

Step-by-step explanation:

From the diagram, Corresponding angles are congruent that is Corresponding angles are equal in measure. From the diagram shown, the angle corresponding to <4 is <8 since they are located at the same position on both parallel lines that is right below (both at the top and bottom based on geometry )

Corresponding Angles are congruent.
Which angle corresponds with <4?

Answers

Answer:

angle 6 corresponds with angle 4.

how do I get help answering math problems showing how to figure them out

Answers

Answer:

HI

Step-by-step explanation:

HI HI HI HI HI HI HI HI HI HI HI HI

The points on the number line below are equally spaced. Point Q is the opposite of 20. What is the value of point S?

(A) -8

(B) -4

(C) 4

(D) 8

Answers

Answer:

4

Step-by-step explanation:

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Win 3.0
Fend SUPERWASH​

Answers

the answer to this is yes thank you

The graph shows the function f(x) = 6(3)x. What is the value of the inverse function, f −1, at x = 2?

Answers

Answer:

There is an error in the equation.

f ( x ) = 63 X?? or whatt??

Answer:

-1

Step-by-step explanation:

y = f(x)

y = 6 * 3^x

Interchange x and y

x = 6 * 3^y

Divide by 6

x/6 = 3^y  

Take the log of both sides

log(x/6) = log(3)^y

Bring the y down

log(x/6) = y log(3)                    

Divide by log(3)

log(x/6)/log(3) = y

Let x = 2

log(2/6) / log(3) = y

-(0.4771 )/ 0.4771 = y

y = - 1

Remark

The original graph is in green

The red graph is the inverse.

The point (2,-1) is marked so that you know it falls on the inverse.

(13 + 2) divided by (9-4) I have to show my work please help!

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{(13 + 2)}{(9-4)}=\frac{15}{5}=3[/tex]

Answer:

3

Step-by-step explanation:

13+2= 15 9-4=5. 15÷5=3

_____ data are information about people, places, and things that can be measured with numbers.

Answers

Answer:

numerical

Step-by-step explanation:

i guess not sure though

24 + 6 divide by 3 -2 (4 + 1)

Answers

Answer:

30

Step-by-step explanation:

Answer:

About -4.286

Step-by-step explanation:

First, let's set up the equation.

(24 + 6)/(3 - 2 [4 + 1])

Now, let us do the parenthesis first. (4 + 1). While we are at it, we can also do 24 + 6.

30/(3 - 2[5)]

Now, -2(5)

30/3 - 10

Let us do 3 - 10

30/-7

Lastly, 30/-7, which unfortunately, is a non-terminating decimal, which is about:

-4.286, rounded to the nearest thousandth.

Hope this helps!

Solve for x.
Question 6 options:

A)

10

B)

13

C)

12

D)

11

Answers

Answer:

Step-by-step explanation:

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