which expression represents the difference of (5x-3y) and (8x+8y)?
Given:
The expressions are:
[tex](5x-3y)[/tex] and [tex](8x+8y)[/tex]
To find:
The difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex].
Solution:
Difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex] is written as:
[tex]Difference=(5x-3y)-(8x+8y)[/tex]
On simplification, we get
[tex]Difference=5x-3y-8x-8y[/tex]
[tex]Difference=(5x-8x)+(-3y-8y)[/tex]
[tex]Difference=-3x-11y[/tex]
Therefore, the difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex] is [tex]-3x-11y[/tex].
If f(x)= x2 + 5, and g(x) = 3x - 11, find (g(f(-3)).
Answer:
31
Step-by-step explanation:
first find f(-3)
f(-3) = (-3)^2 +5
= 9+5 = 14
The find g(f(-3) = g(14)
= 3*14-11
= 42-11
=31
Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote
The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :
= [tex]\frac{-9}{10}[/tex]
Let's check from the given options which is the correct one.
A)
- [tex]\frac{9}{-10}[/tex]
if we multiply and divide by -1 then we find that the given fraction is equal to :
= [tex]\frac{9}{10}[/tex]
This is not equal to what Callie has written.
B)
[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.
C)
[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.
D)
[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.
Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
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Can someone please help me with this, btw don’t mind the white-out
Answer:
x< 10
Step-by-step explanation:
To start the absolute difference between 20 and 5 is 15. Next, write out an equation for the problem:
x * 1.5 < 15,
Then divide by 1.5 on both sides...
Boom! x < 10.
Geometry
Find the value of x. The diagram is not to scale.
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
Since lines [tex]\overrightarrow{f}[/tex] and [tex]\overrightarrow{g}[/tex] are parallel, the angles labelled in the diagram must be supplementary (add up to [tex]180^{\circ}[/tex]). Therefore, we have the following equation:
[tex]4x+(7x+26)=180,\\11x+26=180,\\11x=154,\\x=\boxed{14}[/tex]
What inverse operation is used to solve the equation?
2x=10
Addition Property: add 2 to both sides
Division Property: divide both sides by 2
Multiplication Property: multiply both sides by 2
Subtraction Property: subtract 2 from both sides
Answer:
Division Property: divide both sides by 2
Step-by-step explanation:
[tex]2x = 10[/tex]
[tex] \frac{2x}{2} = \frac{10}{2} [/tex][tex]x = \frac{10}{2} [/tex][tex]x = 5[/tex]
Hope it is helpful....What is the answer to this 3a-b;a=4b=6
Answer:
3a-b
3×4-6 solve by using the rules of BODMAS
12-6
6(ans)
Hope it helps
Keith has 7 yards of string. He needs ⅓ yard of string for each of his puppets. How many puppets can Keith make with his string?
Answer:
the no of puppets that could be made with his string is 21
Step-by-step explanation:
Given that
There is 7 yards
And, it needs one -third of string for each of his puppets
= 7 × 3
= 21 puppets
We simply multiply the 7 yards with the 3 so that the no of puppets could come
hence, the no of puppets that could be made with his string is 21
If 4 cups of milk is required to make 20 pancakes, how much milk will 30 pancakes require?
Hope this help!!!!!!! :)
Quantity of flour needed to make 20 pancakes =
Then , number of pancakes that can be made from 1 cup of floor :-
.
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-
Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-
Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLY
What is the median of the data set represented by the dot plot?
What is the equation of the line that passes through (4, 3) and (-4,-1)?
Answer:
[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]
Step-by-step explanation:
Given :-
Two points (4,3) and (-4,-1)And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,
[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]
Let us take that ,
[tex](x_1,y_1)=(4,3) [/tex][tex](x_2,y_2)=(-4,-1)[/tex]Now substitute the respective values ,
[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]
Hence the correct option is (2) .
Helppppppp what's the answer??????
Find the volume of the cylinder
Either enter an exact answer in terms of pie or use 3.14 for pie.
Please help me any help will be appreciated thank you!
Answer:
500π m^3
Step-by-step explanation:
The question is not complete
Cylinders are described with dimensions as
Diameter and Height
Say the diameter is
D= 10m
and Height is
H=20
Hence the radius is
R= D/2= 10/2= 5 m
Therefore the volume is gotten as
V= πr^2h
V= π*5^2* 20
V= π*25*20
V= 500π m^3
Hence the volume is 500π m^3
Which set of ordered pairs represents y as a function of x? {(2,2), (3,3), (2,4), (5,5)} A. {(2,2), (3,3), (2,4), (5,5)} A. , 2, 2... 3, 3.... 2, 4... 5, 5... , {(−1,−2), (−2,−1), (−2,7), (−4,8)} B. {(−1,−2), (−2,−1), (−2,7), (−4,8)} B. Negative 1, negative 2... Negative 2, negative 1... Negative 2, 7.... Negative 4, 8... , {(−1,6), (4,3), (1,1), (−3,4)} C. {(−1,6), (4,3), (1,1), (−3,4)} C. Negative 1, 6... 4, 3... 1, 1... Negative 3, 4... , {(0,1), (2,1), (3,1), (0,2)} D. {(0,1), (2,1), (3,1), (0,2)}
Answer:
The correct answer is C
Step-by-step explanation:
In a function, no two ordered pair has the same first element. if you check all the Rest, they have one or more two ordered pairs having the same first element. But C has unique first ordered elements, -1, 4, 1 and -3
One of the flights was 350 miles and its residual was -
105.00. What was the fare for this flight?
Based on data taken from airline fares and distances
flown, it is determined that the equation of the least-
squares regression line is ý = 102.50 +0.65x, where
ý is the predicted fare and x is the distance, in miles.
O $102.50
O $435.00
O $225.00
O $330.00
Answer:
O $225.00
Step-by-step explanation:
Given that
The one of the flight was 350 miles
And, its residual is 105
The regression line is y = 102.50 + 0.65x
where
y denotes the expected fare
And, x denotes the distance
We need to find out the fair of the flight
So,
y = 102.50 + 0.65 (350)
= 330.00
Now the fare is
= 330 - 105
= 225
Answer:
(C) 225 Is correct.
Predicted cost - residual = answer
y= 102.50 + .65(35)
330 - 105 = 225
255
ED2021
PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!
Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars
quality plumbing charges 50 for each hour of work plus one time fee of 150
t or f quality plumbing charges the least for 5 hours of work false
Step-by-step explanation:
I think this is correct, no time to explain if you need this answer fast
Which expression could be used to find the distance between points (-2,8) and (7,13) on a coordinate plane?
Choose all that apply.
Answer:
A and E.
Step-by-step explanation:
Its square root of [(13-8 and 7 - - 2 ( = 7 + 2)both squared)]
OH I see there are 2 answers.
The other one is A.
What is the measure of x?
Answer:
105+54=x
Step-by-step explanation:
(Translate the sentence into an inequality)
Twice the difference of a number and 2 is at most -30
Answer:
2(x-2) ≤ -30
Step-by-step explanation:
2(twice) (x-2)( the difference of a number and 2) ≤ (is at most )-30
24 + _ = 120 * 3 what is the answer
Answer:
336
Step-by-step explanation:
120*3 is 360.
360= 24 + ___
360-24 is 336
Answer:
432
Step-by-step explanation:
24+__=120
144*3
=432
Hope This Helps, Have a great day!
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses the color? Tahari has 60 options left because Tahari has 12 options left because she has options left. Tahari has 12 options left because . Tahari has 7 options left because she has options left.
Answer:After choosing the color she still has the choices of brands and style so:
Tahari has 4*3=12 options left.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
right on edge
A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here: The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
This question is incomplete, the complete question is;
A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here:
Test Results Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
a) Based on the information provided, The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
b) Based on the information provided, The specificity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
Answer:
a)
The sensitivity of this test is expressed as 80%
Option B) 80% is the correct answer.
b)
The specificity of this test is expressed as 70%
Option D) 70% is the correct answer.
Step-by-step explanation:
Given the data in the question;
Test Results Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
Number of persons affected by disease with positive factor of X = 40
Number of persons with negative factor of X without the disease = 140
Total number of persons affected by the disease = 40 + 10 = 50
Total number of persons not affected by the disease = 60 + 140 = 200
a) Sensitivity of the Test;
Sensitivity = [( Number of persons affected by disease with positive factor of X ) / ( Total number of persons affected by the disease )] × 100
we substitute
Sensitivity = [ 40 / 50 ] × 100
Sensitivity = 0.8 × 100
Sensitivity = 80%
Therefore, The sensitivity of this test is expressed as 80%
Option B) 80% is the correct answer.
b) The specificity of the test;
Specificity = [ ( Number of persons with negative factor of X without the disease) / ( Total number of persons not affected by the disease ) ] × 100
we substitute
Specificity = [ 140 / 200 ] × 100
Specificity = 0.7 × 100
Specificity = 70%
Therefore, The specificity of this test is expressed as 70%
Option D) 70% is the correct answer.
a triangle has side lengths 10, 16, and 11. is the triangle actue, obtuse, or right?
Answer:
Obtuse
Step-by-step explanation:
a^2 + b^2 = c^2
10^2 + 11^2 = 16^2
100 + 121 = 256
221 = 256
221 < 256
A triangle has side lengths 10, 16, and 11. is the triangle is obtuse.
Name three types of triangles based on angles?Triangles can be classified into three types with respect to their interior angles which are:
1. Acute-angled
2. Obtuse-angled
3. Right-angled
Acute Triangle
An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.
Obtuse Triangle
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.
Right Triangle
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse.
Three given sides are 10, 11, 16
Let a = 10, b = 11, c = 16
then, [tex]a^{2} +b^{2} = 10^{2} +11^{2}[/tex]
= 100 + 121
= 221
and [tex]c^{2} = 16^{2} =256[/tex]
Since, [tex]a^{2} +b^{2} < c^{2}[/tex]
Thus, given triangle is obtuse.
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Determine the equation of the circle graphed below
I need help plsss help
Answer:
Triangle: True
Parallelogram: False, area is 63cm^2
Trapezoid: True
Step-by-step explanation:
Use area calculators on the internet to find the area of shapes.
help plssssss!!!!!!!
Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
A. y−4=−611(x−1)
B. y+1=−611(x+4)
C. y+7=−611(x−7)
D. y−7=−611(x+7)
Answer:
D) y-7=-6/11(x+7)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-7)/(4-(-7))
m=-6/(4+7)
m=-6/11
y-y1=m(x-x1)
y-7=-6/11(x-(-7))
y-7=-6/11(x+7)
y=-6/11x-42/11+7
y=-6/11x-42/11+77/11
y=-6/11x+35/11
Round off 31623 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
31623
1 is less than 5 so you dont round up
30,000
-- Gage Millar, Algebra 2 Tutor
heyy! i’ll give brainliest please help thanks
Answer:
Aswan, Sudan
Step-by-step explanation:
Answer:
egypt and africa
Step-by-step explanation:
Evaluate the expression when a = -4 and x=4.
4x-a
Answer: 20
Step-by-step explanation: Substitute -4 in for a and 4 in for x. Then, simplify.
4(4) - (-4)
16 + 4
20
Hope this helped. Please mark brainliest if correct!
Answer:
4(4)-(-4)
16+4
20
Step-by-step explanation:
When you put x is 4 in the first term u will get 16 and when you add two negatives u will get a positive, hence positive 4, that is 16+4
20