Hi
a+b > a-b
<=> a+b-a = b > a-b-a=-b ** subtract a **
<=> b+b > 0 ** add b **
<=> 2b > 0 ** divide by 2 **
<=> b > 0
so (E) is the right answer
Thanks
A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !
Answer:
100 people
Step-by-step explanation:
first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)
this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress
Answer:
100 people did know they're representative
Step-by-step explanation:
You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)
Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
Is it geometric or arithmetic? Why
Answer: It is Geometric.
Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.
If a varies inversely with b, and a=20 when b=14, find the equation that relates a and b.
Answer:
ab = 280
or
a = 280/b
Step-by-step explanation:
Inverse variation is of the form
xy = k
Since we have a and b as our variables
ab = k
20 *14 = k
280 = k
ab = 280
Sometimes they write it as
a = 280/b
The problem
divided by
appeared on a recent test. The problem was done incorrectly. Identify one error that the student made. Identify an additional error, different from your answer in Part A, that the student made.
Part C:
Write a complete sentence to explain how the two errors can be corrected.
Answer:
Step-by-step explanation:
In the given division, when 24.725 is divided by 215,
Step 1 is the wrong step.
Quotient in first step will be 0.1 .
Part C.
215) 24.725 (0.115
215
322
215
1075
1075
0
Therefore, the correct way to divide should be as agove.
Quotient after division should be 0.115.
Solve for p. 3/5(p - 3) = -4
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
what percenr of 60 is 15
Answer:
9%
Step-by-step explanation:15% of 60 is 9%
Answer:
25%
Step-by-step explanation:
Jody and Mark are using the spinner shown for a probability experiments they spend the spinner on the left if they spin A2 or A3 then they spin the spinner on the right which organized list showing all the possible outcomes for
Answer:
2 and 4
3 and 4
2 and 5
3 and 5
2 and 6
3 and 6
please help! Will mark you as BRAINLIEST!!!!!
Answer:
2x²-2x+5y doing the math reply if you need explanations
a man spent 58% of his income and the amount of money left was $210. Find his income
Answer:
500 $
Step-by-step explanation:
[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]
[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]
[tex]\frac{21}{50}x=210\\[/tex]
[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]
x=500
<3
Red
The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?
Answer:
B
Step-by-step explanation:
To answer this question, we can just pick a couple of points and see which table gives the correct values.
Test Value 1)
Let's let m be 0.5.
So, our output will be:
[tex]-(T(0.5)+G(0.5))[/tex]
From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:
[tex]=-(1.25+4.9)[/tex]
Add:
[tex]=-6.15[/tex]
So, when m is 0.5, our output should be -6.15.
The only choice that does this is B. So, B is our correct answer!
However, let's do another test point just to confirm.
Test Value 2)
Let's let m be 1.2.
So, our output will be:
[tex]-(T(1.2)+G(1.2))[/tex]
From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:
[tex]=-(3+11.76)[/tex]
Add:
[tex]=-14.76[/tex]
The only choice that does this is B. So, we are confident that B is our answer.
And we're done!
Answer:
B
Step-by-step explanation:
Find the linear function with the following properties.
f(−4)=6
Slope of f=−6
Given:
f(−4)=6
Slope of f=−6
To find:
The linear function with the given properties.
Solution:
We have,
f(−4)=6
It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).
Slope of f=−6
The point slope form of a linear function is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the linear function.
On substituting the values, we get
[tex]y-6=(-6)(x-(-4))[/tex]
[tex]y-6=-6(x+4)[/tex]
[tex]y-6=-6x-24[/tex]
Add 6 on both sides.
[tex]y-6+6=-6x-24+6[/tex]
[tex]y=-6x-18[/tex]
The function form of this linear equation is
[tex]f(x)=-6x-18[/tex]
Therefore, the required function is [tex]f(x)=-6x-18[/tex].
how many centiliters are in 3 quarts?
Answer:
283-284
The real answer is like 283.906
What is the perimeter of a hexagon with a side length of 31cm?
Answer:
186cm im pretty sure
Step-by-step explanation:
Answer:
The perimeter is 186 centimeters.
Step-by-step explanation:
The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:
31 + 31 + 31 + 31 + 31 + 31
Or in simpler terms:
31 times 6.
All you need to do is multiply, and the answer comes out to 186cm
Find the equation of the line using the given information.
(x, y) = (-3,0) and (x, y) = (-3, 5) are points on the line
Pls help
Answer:
x 1 = -3
x2 = -3
y1 = 0
y2 = 5
The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.
So, the equation is x = -3.
Step-by-step explanation:
Given parameters:
The coordinates of points on the line;
(x, y) = (-3,0) and (x, y) = (-3, 5)
Unknown;
The equation of the line = ?
The equation of a line is usually expressed in the form y = mx + c
Where;
y and x are the coordinates
m is the slope
c is the y-intercept
Now we need to first find the slope of the line.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
(x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)
Input the parameters and solve;
Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex] = infinity
The line has an infinite slope.
The equation of the line is therefore x = c
x = -3
7 x 10 PowerPoint 6.
Answer:
420
Step-by-step explanation:
7 x 10^6 = 7 x 60 = 420
Answer:
7000000
Step-by-step explanation:
10^6 = 1000000
1000000 x 7
find the value of x. The answer is 53, but I need to show my work.
THANK YOU!!!
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53
A lady decides she wants to start saving more money so she can buy a house. So, she decides to trick herself into saving by creating a challenge for herself. She bought a box of 100 envelopes and wrote the numbers 1-100 on separate envelopes. Twice a week, she drew two envelopes at random and put the corresponding amount of cash inside. (So, if she drew envelope 23, she put $23 inside). How much will she save? How long will it take her to fill all the envelopes?
Answer:
she should at least have $1,150 in at least 575 weeks
Step-by-step explanation:
How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy
Answer:
[tex]300\; \rm lb[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.
Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?
Mass of copper in [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy: [tex](0.15\, x)\; \rm lb[/tex].Mass of copper in [tex]700[/tex] pounds of that [tex]30\%[/tex] copper alloy: [tex]700 \times 0.30 = 210\; \rm lb[/tex].Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.
The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].
This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].
[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].
Simplify and solve for [tex]x[/tex]:
[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].
[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].
[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].
Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.
Write the absolute value of each number. 1. -2/8 2. 3 ¾
Plzz do correctly also worth a lot of points
Answer:
I believe the Answer is B
I'm really sorry if this is wrong.
Step-by-step explanation:
I tried my best :)
Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?
Answer:
5 hours
Step-by-step explanation:
3h5min+1h55min=5hours
Answer:
3+1=4
55+5=60
60 minutes make an hour
=5
Step-by-step explanation:
I dont understand do I multiply four to get the area?
Answer:
yes
Step-by-step explanation:
3×5×45=365m²
Answer:
yes
Step-by-step explanation:
what is Midsegment of a Triangle Theorem
Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Step-by-step explanation:
Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?
Answer:
- 1/2
Step-by-step explanation:
Just took the test
The value of cot (b) using trigonometry is -1/2 when tan b = -2.
Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).
In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.
Given:
tan(b) = -2
The cotangent (cot) of an angle is the reciprocal of the tangent:
cot(b) = 1 / tan(b)
Now, substituting the given value of tan(b):
cot(b) = 1 / (-2)
cot(b) = -1/2
So, the value of cot(b) is -1/2.
Learn more about Trigonometry here:
https://brainly.com/question/11016599
#SPJ4
Determine whether each equation represents a proportional relationship.
y = 3 + x
Proportional Relationship
Not a Proportional Relationship
y = 1.6%
y = 3/(4x)
y = x
y = 12x
y = 2x + 1
Answer:
Proportional Relationship: I Not a Proportional Relationship:
y=1.6x I y=3/(4x)
y=x I y=2x+1
y=12x . I y=3+x
Explanation:
I took the test and that's how i got these answers.
Which ratio is equivalent to 3:7?
A 6:7
B 3:21
C 24:56
D 15:30
Answer:
c
Step-by-step explanation:
Answer:
C. 24:56
Step-by-step explanation:
3/7 * 8/8
3*8 = 24
7*8 = 56
24/56
What makes a function
Answer:
a relation of X to Y, if one element from X is equal to one element from Y.
Step-by-step explanation:
a function in which one thing from X is equal to one thing from Y...
A family spends $540 every month on food. If the family's income each month is $1800, what percent of the family's income is spent on food?
Answer:
1,260
Step-by-step explanation:
This is if you subtract those numbers up you would get 1,260
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
