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
The two figures below are similar. What is
the length of side GH?
help asap!
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’?
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
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 $366,510Answer:
$366,510
explanation: I got 100
what is the best way to study 4 at test?
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
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.
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
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!!
Answer:26.44%
Step-by-step explanation:
f(x)=2x−2
g(x) = −2x + 1
Find f(5) • g(3)
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)=-40Order these fractions from the biggest to the smallest, 2/3, 1/3, 5/3, 3/3, 4/3
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!!!!
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
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?
Answer:
The graph of the new function would be steeper than the first one.
Step-by-step explanation:
Slope-intercept formy= 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 gradientsSince 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 gradientThe 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- interceptsThe y-intercept does not change in this case and both graphs intercept the y-axis at y= 1.
NoteIn 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.
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
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?
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.
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!
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 transformationsThe 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.
helpppp guysssssss Find the volume of the prism.
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
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
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
Answer: 2.4 x 10^6
Step-by-step explanation:
Is y = 5 a solution to the inequality below?
y > 4
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
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
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
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?
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
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 polygonAn 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
Answer:
37.68
Step-by-step explanation:
ayo
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
>:)
Answer:
The answer is 37.68
Step-by-step explanation:
I took the test! :)