Urgent please see image
Answer:
A
Step-by-step explanation:
Because the mouse goes through 8 segments, this becomes a series of 8
James earns $1000 weekly base pay as a sales-person and gets a 10% commission on everything he sells. It is said that he sold $20,000 worth of merchandise last month, how much did he earn for the month? Provide an explanation :)) A. $4,000 B. $22,000 C. $6,000 D. $2,000
Answer:
Option C.
Step-by-step explanation:
It is given that James earns $1000 weekly base pay as a sales-person.
We know that, we have 4 weeks in a month. So, monthly salary of james is
Monthly income [tex]=\$1000\times 4=\$4,000[/tex]
It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.
Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]
Total amount = Monthly income + Commission
[tex]=\$4,000+\$2,000[/tex]
[tex]=\$6,000[/tex]
Therefore, the correct option is C.
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 22, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
Relative Frequency
1-5
6 - 10
11 - 15
16 - 20
21 - 25
What is the relative frequency for the range 1 -57
a. 0.33
b. 0.4
c. 0.2
d. .27
{y = 308x
y = 122x + 2,338
Solve the linear equation
Answer:
Step-by-step explanation:
So if y=308x then we have to use the substitution method.
y=308x
y=122x+2338
so y=308x=122x+2338
308x-122x=186x
186x=2338
do the division and thats your answer. which is what y equals
9. How many ounces of a 25% alcohol solution must be mixed with 5 ounces of a 30% alcohol solution to make a 26% alcohol
solution?
ounces
The amount of 25% alcohol solution is
(Type an integer or a decimal.)
Answer:
27 Oz of 25% alcohol
Step-by-step explanation:
--percent ---------------- quantity
Alcohol I 30 ---------------- 18 Oz
alcohol II 25 ---------------- x Oz
Mixture 27 ---------------- 18 + x Oz
30*18+25x=27(18+x)
540+25x =486+27 x
25x-27x =486+540
-2x=-54
/ -2
x = 27
27 Oz of 25% alcohol
What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?
A.15
B. 17
C.30
D.32
Answer:
17Option B is the correct option.
Solution,
[tex]2(4z - 5 - 3) = 166 - 46 \\ or \: 8z - 10 - 6 = 120 \\ or \: 8z - 16 = 120 \\ or \: 8z = 120 + 16 \\ or \: 8z = 136 \\ or \: z = \frac{136}{8} \\ z = 17[/tex]
Hope this helps
Answer:
17 is the correct answer
Step-by-step explanation:
2(2×17-5-3)=166-46
2×60=120
120=120
Hence,
z=17
what are the steps and answer
Answer:
Trust me it’s I disagree
Step-by-step explanation:
So you have to use the Pythagorean Theorum which is [tex]a^2+b^2=c^2[/tex] and in this case a is 70 and b is 40.
So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different
Answer:
It's I disagree
Step-by-step explanation:
. Determine whether the forces in the pair are pulling at right angles to each other. For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other. 13 lb, 35 lb, resultant force 30 lb no; 20 lb, 15 lb, resultant force 25 lb yes 13 lb, 35 lb, resultant force 30 lb yes; 20 lb, 15 lb, resultant force 25 lb yes 13 lb, 35 lb, resultant force 30 lb yes; 20 lb, 15 lb, resultant force 25 lb no 13 lb, 35 lb, resultant force 30 lb no; 20 lb, 15 lb, resultant force 25 lb no
Answer:
13lb
Step-by-step explanation:
At a profit of 8% a shopkeeper sold a calculator for Rs 1,382.40. If he wants to increase his profit by 2%, at what price should he sell the calculator?
Answer:
Step-by-step explanation:
which symbol is used to name a line with two points A and B
Answer:
AB
Step-by-step explanation:
I think that's the answer
Z is a positive integer x is 5% more than z. Y is 5% less than x
Answer:
[tex]x>z\\z>y[/tex]
Step-by-step explanation:
[tex]x[/tex] is greater than [tex]z[/tex].
[tex]z[/tex] is greater than [tex]y[/tex].
WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. x squared divided by 900 plus y squared divided by 169 = 1 x squared divided by 1467 squared plus y squared divided by 736 squared = 1 x squared divided by 736 squared plus y squared divided by 1467 = 1 x squared divided by 169 plus y squared divided by 900 = 1
Answer:
a=567 km+900 km
a=1,467 km
b=567 km+169 km
b=736 km
x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1
Step-by-step explanation:
Answer:
x^2 / 736^2 + y^2 / 1467^2 = 1
I’m in need of major help with my Intermediate Algebra. Anyone please I need to pass my summer class.
Answer:
oki
Step-by-step explanation:
what do you need help with? :)
Solve x/2 + y/3 = 1 for x
Answer:
[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.
Hope this helped you, Also please let me know if anything is unclear or wrong!
Answer:
Step-by-step explanation:
"Give your answers to 1 decimal place" help :(
Answer:
[tex]b[/tex] ≈ [tex]12.0[/tex]
Step-by-step explanation:
Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.
[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]
Subtract 144 from both sides
[tex]b^2=145\\[/tex]
Square root both sides
[tex]b=\sqrt{145}[/tex]
[tex]b[/tex] ≈ [tex]12.0[/tex]
Answer:
Step-by-step explanation:
[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]
Hope it helps tell me if its right
Find x
There’s 2 problems! Thank you!
Answer:
Step-by-step explanation:
1. x/10=12/15
x*15=10*12
x=10*12/15
x=2*5*3*4/5*3=8
x=8
2. x/9=8/6
x*6=9*8
x=9*8/6
x=3*3*8/3*2=24/2
x=12
If the equation below is solved by graphing, which statement is true?
log(6x + 10) = log 1 x
92
Answer:
92
Step-by-step explanation:
Which two numbers does 128 lie between on a number line
Answer:
127 and 129 if its going up by ones
Solve C = 2mr for r could not make the correct sign for m
Answer:
C = 2mr =
r=
m=
Step-by-step explanation:
Not sure if it's correct.
The end points of AB are A(2,3) and B(8,1). The perpendicular bisector of AB is CD and point C lies on AB. The length of CD is √10 units. The coordinates of point C are?
Answer and Step-by-step explanation:
Answer:
The coordinates of C are (5 , 2)
The slope of CD is 3
The coordinates of D are (6 , 5) and (4 , -1)
Step-by-step explanation:
* Now lets study the problem
- The ends points of line AB are A = 2 , 3) and B = (8 , 1)
- CD is the perpendicular bisector of AB, and C lies on AB
- That means:
# C is the mid-point of AB
# The slope of AB × the slope of CD = -1 (one of them is a multiplicative
inverse and additive inverse of the other)
-Ex: the slope of one is a/b, then the slope of the other is -b/a
* The mid-point between two points (x1 , y1) and (x2 , y2) is:
[(x1 + x2)/2 , (y1 + y2)/2]
∵ C is the mid-point of AB
∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)
* The coordinates of C are (5 , 2)
- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:
the slope = (y2 - y1)/(x2 - x1)
∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3
∵ CD ⊥ AB
∴ The slope of CD × the slope of AB = -1
∴ The slope of CD = 3
* The slope of CD is 3
- The length of a line passing through points (x1 , y1) and (x2 , y2) is:
the length = √[(x2 - x1)² + (y2 - y1)²]
∵ The length of CD = √10
∵ Point D is (x , y)
∴ (x - 5)² + (y - 2)² = (√10)²
∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)
∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply
∴ (y - 2) = 3(x - 5) ⇒ (2)
- Substitute (2) in (1)
∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify
* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²
∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms
∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides
∴ (x - 5)² = 1 ⇒ take √ for both sides
∴ x - 5 = ± 1
∴ x - 5 = 1 ⇒ add 5 to both sides
∴ x = 6
* OR
∴ x - 5 = -1 ⇒ add 5 to both sides
∴ x = 4
- Substitute the values of x in (2)
∴ y - 2 = 3(6 - 5)
∴ y - 2 = 3 ⇒ add 2
∴ y = 5
* OR
∴ y - 2 = 3(4 - 5)
∴ y - 2 = -3 ⇒ add 2
∴ y = -1
* The coordinates of D are (6 , 5) and (4 , -1)
PLEASE HELP ASAP!!
Determine the value of k that would make these two functions inverses.
Answer: K = 6
Step-by-step explanation:
If you find the inverse of the inverse function, it will return back to initial function.
The inverse of r^-1 (x) will give r(x).
To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,
Y = 2x^2 - 14
Interchange y for x
X = 2y^2 - 14
2y^2 = x + 14
Y^2 = x/2 + 14/2
Square both side
Y = sqrt ( x/2 + 7 )
It is only when K = 6, that will can get the value above.
A man purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5
pens at [tex]16 \frac{2}{3} [/tex]% loss. If he received Rs 625 in total, find the cost price of each pen.
help!!!
Answer:
Rs 60
Step-by-step explanation:
[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]
[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]
[tex]5x(1.25)+5x(5/6)=625[/tex]
[tex]10.416667x=625[/tex]
[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]
[tex]x=59.99999...[/tex]
[tex]x=60[/tex]
What is the slope of the line described by the equation below y= 3x-6 A. (0,-6) B. (0,-3) C. (0,6) D. (0,3)
Answer:
A.)
Step-by-step explanation:
If you plug in the x and y values into the equation, you will see that -6=-6
y=3x-6
-6=3(0)-6
-6=-6
Therefore, A.) is the correct answer
Factor a2 - 11a + 28.
A. (a + 4)(a +7)
B. (a - 4)(a - 7)
C. (a + 14)(a + 2)
D. (a - 14)(a - 2)
Answer:
B. [tex](a-4)(a-7)[/tex]
Step-by-step explanation:
a*a makes it a^2
-4*-7=28
-4a+-7a=-11a
the diameter of a circle is 14in. Find its area in terms of pie(urgent)
The area of a circle is equal to:
[tex]\pi \times {r}^{2} [/tex]
r = 1/2 the diameter
1/2 of 14 is 7
7 squared is 49
The area is 49π
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate [tex]3^x[/tex] for [tex]x = -2, x = 1, \text{ and } x = 3.[/tex]
So, we substitute values of x in the given function.
At x= -2, we have
[tex]3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}][/tex]
At x= 1, we have
[tex]3^1=3[/tex]
At x= 3
[tex]3^3=3\times3\times3=27[/tex]
So, the values of [tex]3^x[/tex] for
Thus, the correct answer is B) 1/9, 3, 27
Answer:
Step-by-step explanation:
Answer: B) 1/9, 3, 27
For the equations given below, which statement is true?
-21 = 14
6.1 = -42
A. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -3.
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by 3.
C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -4.
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value.
Answer:
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
Step-by-step explanation:
-21=14 Equ(1)
6.1=-42 Equ(2)
Multiplying the first equation by -3 will give
-63= -42
Which is not equivalent to the second equation
Multiplying the first equation by 3, we have
-63=42
Not equivalent to the second equation
Multiplying both sides of the first equation by -4, we have
84=56
Not equivalent to the second equation
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
I need help with the ye old math
Answer:
24 scoops
Step-by-step explanation:
Each scoop is 1/4 and each bird feeder needs 1 1/2. 6 scoops of 1/4 make one bird feeder and for 4 bird feeders you would need 24 scoops.
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
Complete question:
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
A. likely
B. certain
C.unlikely
D.impossible
Answer:
C. unlikely
Step-by-step explanation:
If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be certain that she will score a point on her next turn.
Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be likely that she will score a point on her next turn.
Also, If the probability that Sarah will score a point on her next turn is ¹/₃ which is 33%, then it will be unlikely that she will score a point on her next turn.
Furthermore, If the probability that Sarah will score a point on her next turn is 0 which is 0%, then it will be impossible that she will score a point on her next turn.
Thus, the correct statement for the given question is "unlikely"
Explain the main parts and uses of two kinds of proofs. March the word with the right definition.
A. Definition
B. Postulate(axiom)
C. Common notion
D. Theorem
E. Corollary
1. A statement that is assumed to be true without proof
2. A statement that has already been proven to be true
3. A statement that tells exactly what something is or means
4. A statement that makes sense based on another statement that has already been proven
5. A statement that is not officially defined but that is understood to be common sense.
Help pls :3
Answer:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Step-by-step explanation:
A. Definition refers to a statement that exactly defines the object, thing or everything.
B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.
C. Common notion is the statement that helps to understand the common sense about the subject.
D. Theorem is a statement that shows proof on the basis of previously making statements.
E. Corollary is a statement that act as a small proof that has already been proven.
Hence, the correct matches are:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.