Answer:
12, 12 and 12 so 36
Step-by-step explanation:
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.
Answer:
40,000+300×
Step-by-step explanation:
300× × + the 40,000
A teacher wants to earn $1500 per year in supplemental income from a cash gift of $16,000. She puts $6,000 in a credit union that pays 7% annual interest. What rate must she earn on the remainder to achieve her goal
Answer:
6,000 * .07 = $420 per year
Therefore the remaining 10,000 must earn 1,080 per year
Total = Principal * (1+rate)^years OR
Total = 10,000 * 1 + rate
1,080 = 10,000*rate
1,080 / 10,000 = rate
rate = .108 OR rate = 10.8 % per year
Step-by-step explanation:
A can do a piece of work in 20 days and B can do it in 12 days,B work for 9 days,in how many days A alone can do the work
Answer: 9
Step-by-step explanation:
what is the sum of 2,888 and 74
Answer:
2962
Step-by-step explanation:
2 8 8 8
+ 7 4
----------------
2 9 6 2
2962
Step-by-step explanation:2888 +
74
---------
2962
8 + 4 = 12
8 + 1 + 7 = 16
8 + 1 = 9
The following statements are about finding a midpoint of a segment in the complex plane. Which statement is false?
The midpoint is the average of the endpoints.
First add the endpoints and then multiply by 1/2.
First subtract the endpoints and then divide by 2.
The midpoint of complex conjugates will lie on the x-axis.
Answer:
C.
Step-by-step explanation:
First subtract the endpoints and then divide by 2.
The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
What is complex number?"It is a number of the type a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is midpoint formula in the complex plane?"The midpoint of two complex numbers a + bi and s + ti is [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex]"
What is complex plane?"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"
For given question,
We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex].
This means, the midpoint is the average of the endpoints.
or to find the midpoint first add the endpoints and then multiply by [tex]\frac{1}{2}[/tex]
We know that the complex conjugate of a complex number x + iy is x - iy.
if we find the midpoint of a segment passing through these points, then it would be,
[tex]M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x[/tex]
This means the midpoint would lie on the X-axis.
Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
Learn more about midpoint of complex numbers here:
https://brainly.com/question/11839107
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M(5, 7) is the mid-point of the l.ine segment joining A (3,4) to B. Find the coordinates of B.
Answer:
B(7,10)
Step-by-step explanation:
[tex]M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = \frac{x_1+x_2}{2}\\ \\5 = \frac{3+x_2}{2}\\ Cross\:Multiply\\5\times 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = \frac{y_1+y_2}{2} \\\\7 = \frac{4+y_2}{2}\\ Cross\:Multiply\\7\times 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)[/tex]
The product of two whole numbers is 504 and their sum is 45. What are the two numbers?
Answer:
21, 24
Step-by-step explanation:
1. Given:
[tex]xy=504[/tex][tex]x+y=45[/tex] [tex]y=45-x[/tex]2. Solution:
[tex]x(45-x)=504[/tex][tex]45x-x^2=504[/tex] [tex]x^2-45x+504=0[/tex] [tex]x^2-24x-21x+504=0[/tex] [tex]x(x-24)-21(x-24)=0[/tex] [tex](x-24)(x-21)=0[/tex] [tex]x_1=24[/tex] ⇒ [tex]y_1=21[/tex] [tex]x_2=21[/tex] ⇒ [tex]y_2=24[/tex]What is the equivalent algebraic expression of " 5 less than four times a
number x " ?
The domain for variable x is the set of all integers. Select the statement that is true.
A. ∃x (3x=1)
B. ∃x (x2<1)
C. ∀x (x2=1)
D. ∃x (x2<0)
Answer:
B. ∃x (x2<1)
Step-by-step explanation:
When we take X = 0 and Placing it in each option as follow
A.
∃x (3x=1)
∃x (3(0)=1)
∃x (0=1)
Which is not true
B.
∃x (x2<1)
∃x ((0)2<1)
∃x (0<1)
Which is true
C.
∀x (x2=1)
∀x ((0)2=1)
∀x (0=1)
Which is not true
D.
∃x (x2<0)
∃x ((0)2<0)
∃x (0<0)
Which is not true.
5.2-6x+2-3-2
Simplify fully
Answer:
-6x+4
Step-by-step explanation:
Answer:
-6x + 2.2
Step-by-step explanation:
Collect like terms: −6x+(5.2+2−3−2)
then simplfiy to get the ansanswer
Samantha is preheating her oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven t t minutes after being turned on?
The answer is 410°
You have to multiply 17x20 and then add 70 because that’s the initial temp.
Answer
Temp after 17 minutes: 340
Temp after t minutes: 20t+70
Step-by-step explanation:
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of road per week. How many weeks will the company take to completely replace the stretch of road?
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
Solve the following equation 2x=15-1x
Answer:
x = 5
Step-by-step explanation:
2x = 15 - 1x
add 1x to both sides
3x = 15
divide both sides by 3
x = 5
Answer:
X=5
Step-by-step explanation:
Add 1x on both sides so you can get like terms on one side now you have 3x=15 You will now divide by 3 on both sides to get x by itself so you end up with X=5
what is 30 times ten
Answer:
300
Step-by-step explanation:
every time you're multiplying ten just add a zero at the end of the number your multiplying.
Answer:
30x10=300
sorry if im wrong-
2x+3=15=? .FIND X AND EXPLAIN WHY?
Answer:
x = 6
Step-by-step explanation:
The properties of equality let you add the same thing to both sides of the equation without changing the value of the variable. The same is true for dividing both sides of the equation by the same thing. These properties can be used to find the value of the variable.
Solution2x + 3 = 15 . . . . . . given
2x +3 -3 = 15 -3 . . . . add the opposite of 3 to both sides
2x = 12 . . . . . . . . simplify
2x/2 = 12/2 . . . . . . . divide both sides by 2
x = 6 . . . . . . . . . simplify
CheckThis value of x can be checked in the original equation to see if it makes the equation true:
2×6 + 3 = 15 . . . . . . substitute 6 for x
12 +3 = 15 . . . . . . . . a TRUE arithmetic fact
The value of x is 6, because that value makes the equation a true statement.
If a train travels at 66 mph for 10 min, what is the distance traveled?
Answer:
11 miles
Step-by-step explanation:
find how many miles per minute
66 / 60 = 1.1
find how many miles in 10 minutes
1.1 • 10 = 11
11 miles
Answer:
11 miles
Step-by-step explanation:
66 miles per hour
Convert minutes to hours
10 minutes * 1 hour/ 60 minutes = 1/6 hour
distance = rate * time
= 66 miles per hour * 1/6 hour
= 11 miles
Ramon needs to simplify the expression below. StartFraction 3.5 times 2 divided by 0.4 over 8.1 + 1.5 minus 4 EndFraction Which operation should he perform first? 1.5 minus 4 2 divided by 0.4 3.5 times 2 3.5 divided by 8.1
Answer:
I think is C
3.5x2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edu2021
A square hada perimeter of 29x^2-24x-16 what is the side length
Answer:
7.25x²-6x-4
Step-by-step explanation:
29x²-24x-16
÷4=
7.25x²-6x-4
Help me with this question please
Answer:
A. x + 46 = 2,749
Step-by-step explanation:
The total MUST be 2,749 as it is the amount of books added and the amount of books that were present from before; therefore, the books in total is 2,749.
x remains there, for the library had already had (x) amount of books from before.
46 is added to x because 46 is the amount of books acquired, in addition to (x) amount of books.
Therefore, the answer is x + 46 = 2,749
I need help with #17 some body pls help this is due in a few min and it’s my last question T^T
Step-by-step explanation:
i think this would be the right answer...
Answer:
53
Step-by-step explanation:
10= 1/5x Given
10 * 5 = 1/5x * 5 divide 5 to both sides (remember you need to do the reciprocal of 1/5, that's why you multiply 5 to both sides)
50=x
If x is 50, subsitute 50 in the equation x+3=?
(50) + 3 = ?
53 = ?
The sides of the figure below measure 11 14 and 21 ft find the perimeter
Answer:
46
Step-by-step explanation:
11+14+21=46
1. Simplify each of the following fractions
leaving each as an improper fraction, not a whole
number. Do not use your calculator!
4.50
5
3.2
8
Answers:
9/2
5/1
16/5
8/1
Nina goes to the neighborhood store to buy 14 rolls of toilet paper. If she spent $20.02 in all for her purchase, how much does one roll of toilet paper cost?
Answer:
Each roll is $1.43.
Step-by-step explanation:
20.02 ÷ 14 = 1.43.
1.43 × 14 = 20.02.
What is the order of the steps to solve for x in the equation 3x - 6x - 7 = 29?
Use the addition property of equality.
Use the division property of equality.
Combine like terms.
Answer:
3x - 6x - 7 = 29 Given
-----------------------------------
3x - 6x -7 = 29
+ 7 + 7 Addition property of equality
3x - 6x = 36
--------------------------------------------------------------
3x - 6x = 36
(3x + -6x) = 36 Combine like terms
-3x = 36
--------------------------------------------------------------
-3x = 36
(-3x = 36)/ -3 Division property of equality
x = -12
Step-by-step explanation:
I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.
Hope this helps :)
Answer:
answer in picture
Step-by-step explanation:
select two ratios that are equivalent to 7: 10
Awsers
21 : 30
17 : 20
10 : 13
26 : 40
35 : 50
Answer: 17:20
Step-by-step explanation:
7 is 3 away from 10, 17 is 3 away from 20, hope this helps
Two number are
from point A on a number line if the distance from
point A to each of the two numbers is the same.
opposite
similar
away
equidistant
12x – 18
Use the gcf to factor each expression
Answer:
Step-by-step explanation:
6(2x - 3)
GCF: 6
Four out of 12 goldfish in an aquarium ate their food. What ratio represents the
goldfish that ate their food to those that did not?
Answer:
4-8
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
I changed 4/12 to a fraction then simplified it
4/12=1/3
one gold fish ate their food for every 3 they fed
The function rule for this graph is
y =
Answer:
-1/2 + 2.
Step-by-step explanation:
Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
the value of RS, ST, and RT *
Answer:
RS = - 7
ST = - 13.5 = - 13½
RT = - 20.5 = - 20½
Step-by-step explanation:
From the question given above, the following were obtained:
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:
From diagram above, it is evident that:
RT = RS + ST
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
5y - 13 = 6y + 2 + 15y + 9
5y - 13 = 6y + 15y + 2 + 9
5y - 13 = 21y + 11
Collect like terms
5y - 12y = 11 + 13
- 16y = 24
Divide both side by - 16
y = 24/ - 16
y = - 1.5
Finally, we shall determine RS, ST and RT as follow:
RS = 6y + 2
y = - 1.5
RS = 6(-1.5) + 2
RS = - 9 + 2
RS = - 7
ST = 15y + 9
y = - 1.5
ST = 15(-1.5) + 9
ST = - 22.5 + 9
ST = - 13.5 = - 13½
RT = 5y - 13
y = - 1.5
RT = 5(-1.5) - 13
RT = - 7.5 - 13
RT = - 20.5 = - 20½