Answer:
An infinite amount
Step-by-step explanation:
The domain and range of the equation [tex]x+y=10[/tex] are both [tex](-\infty, \infty)[/tex] or all real numbers ([tex]\mathbb{R}[/tex]). This means the equation takes on any real value for [tex]x[/tex] and [tex]y[/tex]. Therefore, there are an infinite number of real solutions to the equation.
Conceptually this makes sense. For any number we plug in for [tex]x[/tex], we can change [tex]y[/tex] to make [tex]x+y=10[/tex] true. Since there are an infinite number of numbers, there are an infinite number of values we can plug in for [tex]x[/tex] and [tex]y[/tex].
Nicole Tobin receives a salary of $250
per week plus a commission of 15% of all
sales over $1,500. Find her earning
during a week in which sales totaled
$3,000.
Answer:
Earnings = 475
Step-by-step explanation:
She gets a straight salary of 250
She sold 3000 worth of merchandise 3000
She receives a commission on anything over 1500 Subtract
She gets a commission on 1500
15% of 1500 = 15/100 * 1500 225
Earnings 475
The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.
Answer:
20 and 55
Step-by-step explanation:
Let's assume, we have two numbers 'x' and 'y'.
Now, all we know is:
one number exceeds the other by 35 (i.e their difference is 35)sum of two numbers is 75So we form two equations:
x + y = 75_____(i)
and x - y = 35
so, x = y+35 _____(ii)
Put the value of x from (ii) into (i)
x + y = 75
y + 35 + y = 75
2y = 40
y = 20
Put value of y back in (ii)
x = y+35
x = 20 + 35
x = 55
The first number is 20, and the second number is 55.
Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.
Let's assume the first number is x.
According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).
The sum of the two numbers is given as 75, so we can set up the equation:
x + (x + 35) = 75
Simplifying the equation, we get:
2x + 35 = 75
Subtracting 35 from both sides:
2x = 40
Dividing both sides by 2:
x = 20
Therefore, the first number is 20, and the second number is (20 + 35) = 55.
Learn more about numbers click;
https://brainly.com/question/24908711
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If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is _____ cm.
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.
Answer: Perimeter = 10.5 cm
Step-by-step explanation:
Concept:
Here, we need to know what is an equilateral triangle.
An equilateral triangle is a triangle in which all three sides have the same length.
Perimeter = 3a
a = side length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
a = 3.5 cm
Given formula
Perimeter = 3a
Substitute the value into the formula
Perimeter = 3 (3.5)
Simplify
Perimeter = 10.5 cm
Hope this helps!! :)
Please let me know if you have any questions
The area of a square is given as (s3)6.
What is its perimeter?
Step-by-step explanation:
what does this problem description really say ? what is the area of that square ?
36 ?
s3×6 ?
s³×6 ?
5³×6 ?
2³×6 ?
(5×3)×6 ?
(2×3)×6 ?
and these are just the options that I can see right away without really thinking about it.
in any case, the solution is to draw the square root of the area, and then multiply the result by 4.
why ?
because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².
therefore, sqrt(area) = sqrt(length²) = length.
and the perimeter of the square is the way all around the whole square (4 sides), which is then
length + length + length + length = 4×length
from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.
as the area would be in both cases 36.
sqrt(36) = 6
and the perimeter would be 6×4 = 24
The weekly wages of employees of Volta gold are normally distributed about a mean of$1250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying 1) between $1320 and $970 2) over $1290 3) under $1400
Answer:
1) 0.7104 = 71%
2) 0.6615 = 66%
3) 0.8944 = 89%
Step-by-step explanation:
1)
Z(low)=-2.333 0.009815329
Z(upper)=0.583 0.720165536
2)
Z(low)=0.333 0.63055866
Z(upper)=8322.908 1
3)
Z(low)=-10.417 0
Z(upper)=1.25 0.894350226
Can someone help me out plz
Answer:
The answer is 43.52 you're welcome
In Natalie's class, 18 children listed math as their favorite subject while 15 said English was their favorite
subject. Eleven children liked both subjects equally well and 3 children didn't like either math or English. How
many children are in the class?
25 is your answer if i am sure, the question was confusing tho.
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞
Answer:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have;
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5
The correct option is therefore, F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Answer:
A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
Step-by-step explanation:
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.
Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY
Answer:
C. The distance is the absolute value of the difference.Step-by-step explanation:
See the table made based on the given values.
It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.
So we can say that:
distance = |a - b|Correct choice is C
Can you help me out plz
Answer:
An isometry preserves all the following except orientation .
Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
please help, i will give brainliest!
Answer:
hope that helps i don't know it either tho
Factor 4n4 + n3. find the factor
Answer:
n^3( 4n+1)
Step-by-step explanation:
4n^4 + n^3
2*2*n^3*n + 1*n^3
Factor out the common terms
n^3( 4n+1)
find the missing side of the triangle
Answer:
197 is the missing side of the triangle
HELP is it a, b, c , or d?
Answer:
B
when you input the first value of y which is -2
-2+2=(4/5)(x+9)
0=(4x+36)/5
multiply both sides by 5
0=4x +36
4x =-36
divide both sides by 4
x=-9
if you like my answer mark as brainliest
5-7
To rationalize the denominator of
9- 114 · you should multiply the expression by which fraction?
o
5+
g-ſ14
9-14
9-14
9+ 14
9+
14
14
14
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
follow the rule
[tex]\\ \sf\longmapsto \dfrac{a+b}{c-d}[/tex]
To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator
Like
[tex]\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}[/tex]
Here correct option is C
Please see picture for question.
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times heavier is a blue whale than an elephant in pounds?
Answer:
42 more times
Step-by-step explanation:
1) 4×105=420 (pounds)-blue whale
2) 1×10=10 (pounds)- elephant
3) 420:10=42
The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.
We are given;Average weight of blue whale; W_w = 4 × 10^(5) pounds
Average weight of elephant; w_e = 1 × 10⁴ pounds
Now, we want to find how much more heavier the blue whale is than the elephant. Thus we will just divide W_w by W_e to get;W_w/W_e = (4 × 10^(5))/(1 × 10⁴)
According to laws of exponents;
a¹²/a³ = a¹² ¯ ³ = a^(9)
Applying that to our question gives;
4(10^(5 - 4)) = 4 × 10 = 40
Read more about exponents at; https://brainly.com/question/18248071
can someone help me figure out how much my final exam is weighted?
in the grade book there are:
6 assignments for 10 points each
52 assignments for 20 points each (it’s not a typo i promise there was actually 52)
5 assignments for 30 points each
5 assignments for 40 points each
and 1 assignment for 60 points (aka the final exam)
my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a)
Answer:
About 4%
Step-by-step explanation:
6x10=60
52x20=1040
5x30=150
5x40=200
1x60=60
Total Points available:1510
Final Exam is 60 points
60/1510=0.0397
find the missing side
Answer:
x ≈ 14.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )
x × tan73° = 48 ( divide both sides by tan73° )
x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )
Find the volume of the water tank shown.
Depth: 1.8 m
Diameter : 2.4m
Volume = ? m3 (nearest m3)
Answer:
Step-by-step explanation:
r = d/2
r = 2.4 m/2 = 1.2
h = 1.8
pi = 3.14
Volume = pi * r^2 * h
Volume = 3.14 * 1.2^2 * 1.8
Volume = 8.139
Volume = 8 to the nearest m^3
I want a simple explanation on how to get the answer to this question not just the answer.
8. Solve the following triangle for all missing sides and angles.
Part I: Find the measure of angle B. (1 point)
Part II: Use the law of sines to find the length of side a. (2 points)
Part III: Use any method to find the length of side c. (2 points)
Answer:
Step-by-step explanation:
I need 26/50 simplified so I can answer an assignment
find the measure of the missing angles in the kite
Answer:
Step-by-step explanation:
In a kite, the angles between the two non- congruent side have the same degree.
x = 114 degrees
In a quadrilateral the sum of the inner angles is 360 degrees
88 + (114 * 2) + y = 360
88 + 228 + y = 360
316 + y = 360
y = (360 - 316)
y = 44 degrees
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.
Answer: 8 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED
2x=x+2
x=2
AC=2x+x+2
AC=3x+2
SUbstitute x
AC=3(2)+2
AC=6+2
AC=8
HELP ANSWER ASAP. what is the radius of a circle in which a 30 arc is 2pi inches long?
Answer:
I believe it's 12 in.
Step-by-step explanation:
hope this helps you!
Can you answer me this question please? I have doubts. Thank you
Answer:
9Step-by-step explanation:Step-by-step explanation:you have 2 bars right ? the taller one has a frequency of 12 Step-by-step explanation:you have 2 bars right ? the taller one has a frequency of 12 so the half of the taller one is 6 which is smaller than the 2nd one right ? so the frequency of the smaller one is surely greater than half of the big which is 6 so the frequency should be from 6 upwards ....hi pls help. pls explain a bit thank you:)
Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
