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. Ifa is the number, what is the value of a?

Write and solve an equation to find a. Show your work.

Answers

Answer 1

10 less than 5 times the value of a number -> 5a - 10
10 times the quantity of 12 more than one-fourth of a number -> 10(12+1/4a)

We have :
5a - 10 = 10(12 + 1/4a)
5a - 10 - [10(12 + 1/4a)] = 0
5a - 10 - (120 + 5/2a) = 0
5a -10 - 120 - 5/2a = 0

Group : (5a-5/2a) - (10 + 120) = 0
5/2a - 130 = 0
5/2a = 130 -> a = 130 : 5/2 = 52

Recheck : 5 x 52 - 10 = 250
10 x (12 + 1/4 x 52) = 10 x (12 + 13) = 10 x 25 = 250


Related Questions

The two figures below are similar. What is
the length of side GH?




help asap!

Answers

Answer: A. 3 units

Step-by-step explanation:

Since the two figures are similar, that means their side lengths are proportional.

Therefore, [tex]\frac{CB}{KF} = \frac{EA}{GH}[/tex].

We are given the value for 3 of these side lengths.

Thus, [tex]\frac{10}{5} = \frac{6}{GH}[/tex].

We can cross multiply:

10 GH = 30

Divide both sides by 10:

GH = 3 units

Under a dilation of scale factor 5 with the center at the origin, if M (3, 6), what will be the coordinates of the point M’?

Answers

Answer:

(8,11) because a whole number dilation means you add that number to the points, but a fraction means you subtract.

Step-by-step explanation:

A relationship between education and income is given in the table.

HURRY HELP ASAP

Based on the data, how much more does a person with a doctoral degree earn than a person with a bachelor's degree over the course of 15 years?



$252,390


$366,510


$785,805


$1,152,315

Degree of education Income

High school diploma $26,582

Associate's degree $37,955

Bachelor's degree $52,387

Master's degree $59,995

Doctoral degree $76,821

Answers

Answer:

$366,510

Step-by-step explanation:

Take Bachelor's degree $52,387 subtract from Doctoral degree $76,821 You will get the answer as $24,434Take $24,434 multiply by 15yearsYou will get $366,510

Answer:

$366,510

explanation: I got 100

what is the best way to study 4 at test?

Answers

Answer:

GO over the work that the teacher gave you and use Quizlet to help study the work. It works for me

Step-by-step explanation:

Step-by-step explanation:

Study and play, or u can say hav fun while studying.

Eat healthy food and light food.

Play some music at the background for concentration.

Take 10 min break.

These are the things which i do

Hope they are helpful to you if yes then please let me

Stay safe, stay healthy and blessed.

Have a great day !

Thank you

HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION FOR ME ​

Answers

Answer:

The top graph represents y = x-6.

Step-by-step explanation:

The graph is a translation 6 units down and the slope is 1.

(−12)·(−6)

First, open the brackets, then multiply or divide.

Answers

Answer:

i dont know but this looks like integers if im correct

Step-by-step explanation:

-x-= +

so, we plus 12 and 6

=18

Need help on knowing where to graph!!
y = 4x - 2
y = 1/2x +5

Answers

Answer:

(0,5) and (2,6)

Step-by-step explanation:

During an experiment, the temperature of a mixture changes from 12 °F to 153 °F.
What is the percent of increase in the temperature of the mixture?
Enter your answer in the box as a percent rounded to the nearest hundredth.


PLEASE HURRY!! ILL OFFER AS MANY POINTS AT POSSIBLE!!

Answers

Answer:26.44%

Step-by-step explanation:

f(x)=2x−2

g(x) = −2x + 1

Find f(5) • g(3)

Answers

Answer:

-40

Step-by-step explanation:

Given function:  f(x) = 2x - 2

f(5) means: substitute x = 5 into the function:

⇒ f(5) = 2(5) - 2

⇒ f(5) = 10 - 2

⇒ f(5) = 8

Given function:  g(x) = -2x + 1

g(3) means: substitute x = 3 into the function:

⇒ g(3) = -2(3) + 1

⇒ g(3) = -6 + 1

⇒ g(3) = -5

Therefore,

f(5) · g(3) = 8 · -5 = -40

f(5):-

[tex]\\ \rm\rightarrowtail 2(5)-2[/tex]

[tex]\\ \rm\rightarrowtail 10-2[/tex]

[tex]\\ \rm\rightarrowtail 8[/tex]

g(3)

[tex]\\ \rm\rightarrowtail -2(3)+1[/tex]

[tex]\\ \rm\rightarrowtail -6+1[/tex]

[tex]\\ \rm\rightarrowtail -5[/tex]

So

f(5)g(3)=8(-5)=-40

Order these fractions from the biggest to the smallest, 2/3, 1/3, 5/3, 3/3, 4/3

Answers

Answer:

5/3, 4/3, 3/3, 2/3, 1/3

Step-by-step explanation:

since there is a common denominator of 3, you just order them from greatest to least or biggest to smallest

What value of x makes the statement true?
Subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and
Record your answer in the boxes below. Be sure to use the correct place value.
+/-
What’s the answer!!!!

Answers

Step-by-step explanation:

Hence the number = 25. hope it helps

A student says a word and you hear it. Mark the best description how a sound wave is created when the student speaks

Answers

Answer:

When someone speaks their vocal cords vibrate. That sends sound waves through the air. It's just like dropping a rock in the water and watching the waves move out in a circle. For every different sound, there's a different wave. In the same way, when a student speaks, his/her vocal cords vibrate and send sound waves through the classroom. Sound is produced when an object vibrates, creating a pressure wave. This pressure wave causes particles in the surrounding medium (air, water, or solid) to have vibrational motion. As the particles vibrate, they move nearby particles, transmitting the sound further through the medium.

I hope this helps :)

If y = 3x + 1 is changed to y = 4x + 1, how would the graph of the new function compare with
the first one?

Answers

Answer:

The graph of the new function would be steeper than the first one.

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept. Note that in this form, the y term is the only term on the left-hand side of the equation and its coefficient is 1.

Identifying gradients

Since the two equations are in the slope-intercept form, we can easily identify their gradients from the coefficient of x.

The gradient of the first graph is 3, while that of the new function is 4.

Implications of a greater gradient

The gradient of a graph is how steep it is, or the change of y with respect to x. Also when we are given a linear graph without its equation, we can find its gradient using the formula:

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

This formula can also be written as

[tex]\boxed{ slope = \frac{rise }{run} }[/tex]

These formulas imply that the gradient is the looking at how much the y- coordinate changes with respect to x. The term 'gradient' and 'slope' have the same meaning and is used interchangeably here.

Given that the new function has a greater slope, it has a greater change in y with respect to x than the first graph. Thus, we see a steeper graph when y= 3x +1 is changed to y= 4x +1.

y- intercepts

The y-intercept does not change in this case and both graphs intercept the y-axis at y= 1.

Note

In the attached graph, the first graph is represented by the red line while the graph of the new function is in blue.

A tuna can is a right circular cylinder with a radius of 4.25 centimeters and a height
of 3.25 centimeters.
a. If the volume of a cylinder is given by V = nr2h, find the volume of the can to the
nearest cubic centimeter.

Answers

Answer:

Hello, My name is Anastasiya

184.32 cubic centimeter is the  volume of the can.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that A tuna can is a right circular cylinder with a radius of 4.25 centimeters.

Height of the can is 3.25 centimeters

The volume of the cylinder = πr²h

We have to substitute the values of r and h

volume of the cylinder = 3.14×4.25²×3.25

= 184.32 cubic centimeter

Hence, 184.32 cubic centimeter is the  volume of the can.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

$75.96 divided by 4 = in steps

Answers

Answer:

18.99

Step-by-step explanation:

I just know the answer sorry. Hope this helps you a little.

How much is 2.62 if my answers are A.2 5/8 B.2 7/8 C.3 3/8 D.4 2/8?

Answers

Answer:

I'm sorry to say but 2.62 as a fraction is 2 31/50.

That's the lowest that can simplify. Unless I am mistaken with another number.

Write an inequality that represents the graph. Use as the variable in the inequality. ​

Answers

Explanation:

We know the following:

Since the starting point of a line is shaded in blue, the sign that represents the inequality should either be < or >.The value of x should be below 1 1/3. Since the value of x is below 1 1/3, 1 1/3 must be greater than x. The sign that will be used is <.

After looking at these key points, we can conclude that...

The inequality that represents the graph is x < 1 1/3.

Does anybody know the questions for the 05.04 Exponential and Logarithmic Functions Discussion-Based Assessment (FLVS)? Thank you!

Answers

The functions are illustrations of function transformations

The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up

How to determine the transformations

The equation of the function is given as:

[tex]g(x) = 2 - x[/tex]

The parent function of the above equation is:

[tex]f(x) = x[/tex]

First, the function f(x) is reflected across the y-axis to give

[tex]f(-x) = -x[/tex]

Next, the function is shifted 2 units up.

So, we have:

[tex]f(-x) + 2 = -x + 2[/tex]

Rewrite as:

[tex]f(-x) + 2 = 2-x[/tex]

Express f(-x) + 2 as g(x).

So, we have:

[tex]g(x) = 2-x[/tex]

Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up

Read more about function transformation at:

https://brainly.com/question/1548871

The collection of all possible events is called a. a sample space b. an outcome c. an event d. None of these choices.

Answers

The collection of all possible events is called a sample space.

helpppp guysssssss Find the volume of the prism.

Answers

Answer:

182 cubic feet

Step-by-step explanation:

(7 x 4)/2 to get the area of triangle

than times 13 to get the volume

I need urgent help and maybe please explain how to do it? I will appreciate it

Answers

Answer:

It will take 12.5 days for Alejandra to catch up with Javier and they both will have travelled 800m

Step-by-step explanation:

Alejandra "catching up" implies that they will both have travelled the same distance

Therefore,

Let y represent the distance when Alejandra will catch up with Javier

Since both equations have the same y-value (distance):

24x+500 = 12x+650

24x - 12x = 650 - 500

12x = 150

x = 12.5

It will take 12.5 days for Alejandra to catch up with Javier

Next, put the amount of time into any of the 2 equations to find what the distance is:

24x + 500 = y

24 (12.5) + 500 = y

y = 800

800m is the distance travelled when Alejandra catches up with Javier

Daphne drives 500 mi to visit her sister. She stops for lunch after driving 375 mi. What percent of the trip has Daphne completed when she stops for lunch? Record your answer on the grid. Then fill in the bubbles

Answers

Answer:

She completed 75% of the trip

Step-by-step explanation:

375 miles of 500 miles= 375/500

375/500=0.75

0.75 x 100=75%

r = x^2/y
x = 3.8 * 10^5
y = 5.9 * 10^4

Answers

Answer:   2.4 x 10^6

Step-by-step explanation:

Is y = 5 a solution to the inequality below?

y > 4

Answers

Answer: Yes and it could be greater than 5 but it has to be greater than 4


:

Answer:

Yes

Step-by-step explanation:

y > 4

Y is greater than 4 which means whatever the value of y is, we know that it is greater than four. Which means y = 5 is indeed a solution to the inequality shown, or "yes."

Now if the inequality shown:


y < 4
We know that y is less than 4, so y = 5 is not a possible solution for the inequality.

Hope this helps.

One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm. Find the measure of the other leg. If necessary, round to the nearest tenth

Answers

Answer: 11.49 or 11.5 cm

I just rounded it, it's still the same answer

Step-by-step explanation: sorry if wrong


Identify the vertex, focus axis of symmetry, and directrix. Then sketch the graph

Answers

Answer:

vertex = ( -6 , -3 )

focus = [tex](-\frac{97}{16} ,-3)[/tex]

axis of symmetry = y = -3

directrix = x = [tex]-\frac{95}{16}[/tex]

GRAPH :

The Corollary to the Triangle Exterior Angle Theorem says, "The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior. " Is this still true if you delete the word "remote"? Explain

Answers

Answer: No it is not still true

Step-by-step explanation: Remote is short for remotely which means combine of shapes so with out that word it would be wrong

One of the giraffes, Bernard, is sick. Last week he weighed 2,490 pounds. This week, he weighs 2,312 pounds.
If w represents the amount of weight lost, which bar diagram can be used to find the amount of weight Bernard lost?

Answers

Answer:

w+2,312=2,490

w= 178 pounds

Step-by-step explanation:

Let

W—-^ the amount of weight Bernard lost in pounds

We know that

The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week

So…

The linear equation that represents this situation is

w=2,312=2,490

solve for w

Subtract 2,490 - 2,312 = 178lbs

If you found this helpful please let me know! I’m always striving to improve my answers! Have a wonderful day!

Answer:

yo

Step-by-step explanation:

its A

edge is weird

First, break the irregular polygon into shapes whose (select)
you can find using familiar formulas. The (select) of these areas is the area of the polygon.

First Select options: Areas,distances,sizes,averages,perimeter

Second Select options: Sum, Difference, Average, Product

Answers

The area of a shape is the amount of space it occupies

The complete statement is: First, break the irregular polygon into shapes whose area you can find using familiar formulas. The sum of these areas is the area of the polygon.

How to determine the area of an irregular polygon

An irregular polygon contains several familiar shapes.

So, the first thing to do is to break the polygon into smaller shapes

Then calculate the areas of these shapes

Lastly, add the areas of the shapes to get the area of the irregular polygon

Hence, the area of an irregular polygon is the sum of the areas of the shapes that make up the irregular polygon

Read more about areas at:

https://brainly.com/question/24487155

A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio.

Approximately how many feet of stringed lights does Holly need?

Use 3.14 for π.

Enter your answer as a decimal in the box.

feet

Answers

Answer:

37.68

Step-by-step explanation:

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Answer:

The answer is 37.68

Step-by-step explanation:

I took the test! :)

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