Answer:
I) 1.1cm
II) 0.001m = 1mm
Step-by-step explanation:
I)
10mm = 1 cm
11mm = ?
? = (11 x 1)/10 =11/10 =1.1
II)
1000mm = 1m
Milli represents 10^-3 = 0.001
1 millimeter = 1 x 0.001 =0.001m
An electronic salesman wants to earn $4,000 in November. He receives a base salary of $2000 per month as well as a 10% commission for all sales in that month. How much merchandise will he have to sell to earn the amount of money he wants
20000
Based on the given conditions, formulate:
[tex](4000-2000)\div10\ percent[/tex]
Calculate
[tex]\frac{4000-2000}{0.1}[/tex]
Calculate the sum or difference
[tex]\frac{2000}{0.1}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]\frac{20000}{1}[/tex]
Any fraction with a denominator of 1 is equal to its numerator
[tex]20000[/tex]
I hope this helps you
:)
Step-by-step explanation:
his salary =$2000
his commission should be (to make a total of $4000/month )=$4000-$2000 =$2000
let he should sell x amount over $7000 to get $2000 commission
So, 7% of x = 2000
7x/100 = 2000
x= (2000*100)/7 =28571.43 approx
As he will get commission on sales over $ 7000,so his should sell in a month
=$7000+$28571.43
= $ 35571.43
3/4(8x + 12) = -2x + 65
Answer: x=7
Step-by-step explanation:
what is the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the one that appears the most, most common one
Answer:
2
Step-by-step explanation:
mode means the most common number in the set.
I hope this helps....
Triangle ABC has vertices A(−2,10) , B(4,8) , and C(2,4) .
What are the coordinates of A′B′C′ after triangle ABC has undergone the following transformation?
rotation 90° clockwise about the origin
Enter your answers, as ordered pairs (x, y) , in the boxes.
A′=
B′=
C′=
A'=(10,2)
B'=(8,-4)
C'=(4,-2)
To rotate a point 90° clockwise about the origin,
The new coordinates become (y,-x)
So the first one was A(-2,10)
x=-2 & y=10
The new coordinates become A'(y,-x)
So y=10 and -x=-(-2)=2
A'(10,2)
Answer:
A' =(2,4)
B'=(8,2)
C′=(6,-2)
By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 290 minutes on the phone, and paid $22.25. In another month, you spent 360 minutes on the phone, and paid $24.00.
Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.
a. This linear model's slope-intercept equation is_____________.
b. If you spent 140 minutes over the phone in a month, you would pay________________ .
c. If in a month, you paid $26.25 of cell phone bill, you must have spent ______________minutes on the phone in that month.
Answer:
(a) [tex]y = 0.025x+15[/tex]
(b) 18.5 minutes
(c) 450.4 minutes
Step-by-step explanation:
Given
[tex]290\ minutes = \$22.25[/tex]
[tex]360\ minutes = \$24.00[/tex]
Solving (a): Determine the linear equation
First, we need to calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (290,22.25)[/tex]
[tex](x_2,y_2) = (360,24.00)[/tex]
So, we have:
[tex]m = \frac{24.00 - 22.25}{360 - 290}[/tex]
[tex]m = \frac{1.75}{70}[/tex]
Multiply through by 100
[tex]m = \frac{1.75 * 100}{70 * 100}[/tex]
[tex]m = \frac{175}{7000}[/tex]
Next, is to calculate the equation of the line using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that:
[tex](x_1,y_1) = (290,22.25)[/tex]
[tex]m = \frac{175}{7000}[/tex]
[tex]y - 22.25 = \frac{175}{7000}(x - 290)[/tex]
[tex]y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290[/tex]
[tex]y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}[/tex]
Add 22.25 to both sides
[tex]y = \frac{175x}{7000} - \frac{5075}{700} + 22.25[/tex]
[tex]y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}[/tex]
[tex]y = \frac{175x}{7000} + \frac{10500}{700}[/tex]
[tex]y = 0.025x+15[/tex]
(b) Solve for y when x = 140
[tex]y = 0.025x+15[/tex]
Substitute 140 for x
[tex]y = 0.025 * 140 + 15[/tex]
[tex]y = 3.5 + 15[/tex]
[tex]y = 18.5[/tex]
(c) Solve for x when y = 26.25
[tex]y = 0.025x+15[/tex]
Substitute 26.25 for y
[tex]26.25 = 0.025x + 15[/tex]
Solve for 0.025x
[tex]0.025x = 26.26 - 15[/tex]
[tex]0.025x = 11.26[/tex]
Solve for x
[tex]x = 11.26/0.025[/tex]
[tex]x = 450.4\ minutes[/tex]
Ms. Heinz spent 12 dollars on 30 bus tokens for
the field trip. What was the cost of 12 tokens
Answer:
4.8
Step-by-step explanation:
Firstly, you take the ratio 12d/30t(d=dollars, t=tokens). And you switch it to (unknown)d/30t. And if you execute the formula(12 * 12 / 30) you get 4.8.
hope i helped
It takes the window washing crew 15 minutes to wash 18 windows. Based on this, how long does it take them to wash all 24,348 windows?
Answer:
Step-by-step explanation:
34321.2 min
Step-by-step explanation:
The Burj Khalifa has in total 28601 windows. On the other hand, we are told the window-washing crew can wash 15 windows in 18 minutes. So, we can use the Rule of three to solve this problem:
If:
15 windows ---- 18 min
28601 windows ---- ?
Then:
? = (28601windows)(18min)/15windows
? = 34321.2min
To wash all 24,348 windows the washing crew needs 20290 minutes.
What is unitary method ?Unitary method a tool for first determining the value of a single unit from there we can find values of any given unit.If we multiply the value of single unit with the give data we can obtain our result.
According to the given question It takes the window washing crew 15 minutes to wash 18 windows.
∴ To wash 1 window by the window washing crew is
= 15/18 minutes.
= 5/6 minutes.
So, To wash 24348 windows the time required is
= (5/6)×24348 minutes.
= 20290 minutes.
learn more about unitary method here :
https://brainly.com/question/23423168
#SPJ2
In a short story, a scientist spends decades working to genetically engineer a
chimpanzee that can produce human speech. Her eventual success reveals
that animals of all kinds are far smarter and more perceptive than we had
ever realized. In the end, the chimpanzee is
released into the wild and the
scientist's work erased because humans are not comfortable with this
knowledge.
What are two common literary themes that this story most clearly shows?
• A. The determination to succeed and the acceptance of failure
• B. The domination of man over nature and unrealized dreams
• C. The complexity of nature and the security of ignorance
• D. The power of
science and the evil of humankind
Answer:
C
Step-by-step explanation:
it’s just unnatural for a wild animal to give a speech. The security of ignorance is when humans are uncomfortable with it.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Determine the equation of the line containing the points given in the table below.
Answer:
BTW where is the table??Josephine is in HR and believes the population mean amount of new employee hires per year in the region is greater than 64. She would like to find evidence of this claim against the standard belief that the population mean amount of new employee hires per year is exactly 64. Josephine gathers a random sample of 56 companies from the region and calculates the sample mean amount of new employees per year to be 64.79 with a sample standard deviation of 2.77. Should the pharmacist reject or fail to reject the null hypothesis given the sample data below? H0:μ=64 versus Ha:μ>64 α=0.05 (significance level) t0=2.13 0.01
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The population mean is p = 64
The sample size is n = 56
The sample mean is [tex]\= x = 64.79[/tex]
The standard deviation is [tex]s = 2.77[/tex]
The null hypothesis is [tex]H_o : \mu = 64[/tex]
The alternative hypothesis is [tex]H_a : \mu > 64[/tex]
The test statistics [tex]t = 2.13[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]0.01 < p-value < 0.025[/tex]
Given that the [tex]p-value < \alpha[/tex] we reject the null hypothesis
A biologist was doing an experiment with plants. The shortest plant measured 13 feet. The tallest plant measured 1.45 feet. Drag all measurements into the box that are between the heights of the two plants.
1.2 feet
1.4 feet
1.31 feet
1.03 feet
1.44 feet
1.5 feet
help I will follow and give BRAINLIEST
The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.
The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.
Use the multiplication property of inequality to solve the inequality and graph the solution set on a number line.
Find the solution set.
-4x≥12
You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?
Answer:
80%
Step-by-step explanation:
GIven:
You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?
Solve:
24/30 x 100
0.8 x 100
80%
Hence, the percentage of correct answers on the test.
~Lenvy~
Convert 64 quarts to gallons
Answer:
16 gallons
Step-by-step explanation:
Since 4 quarts is equal to a gallon, you should divide 64 quarts by 4 to get 16 gallons
Answer:
Containing in one gallon, there is 4 quarts.
I like to order my units preferably so I can understand better;
QUARTS 4 (x16) 64
________ = ______ = ______ so x = 16
GALLONS 1 (x16) x
Reflect the given triangle over the line y= -x
[0 7 -1]
[0 -3 -4]
Answer:
9514 1404 393
Answer:
[ 0 -3 4 ]
[ 0 -7 1 ]
Step-by-step explanation:
Reflection over the line y=-x swaps the coefficients and negates both of them.
(x, y) ⇒ (-y, -x)
Dont take my word for it ...
Answer: 0 3 4
0 -7 1
Step-by-step explanation:
Please help with this!
I will need a clear explanation!
Willy can cover in 1L paint
[tex]\\ \rm\rightarrowtail \dfrac{13.5}{3}=4.5m^2[/tex]
1st box should be filled with 4.5Can cover in 10L
[tex]\\ \rm\rightarrowtail 4.5(10)=45m^2[/tex]
Second one should be filled with 45
Answer:
4.5 : 1
45 : 10
Step-by-step explanation:
Given ratio: 13.5 : 3
To calculate equivalent ratios, we need to do the same operation to both sides of the ratio.
To reduce 3 L of paint to 1 L of paint, we need to divide by 3.
Therefore, we should also divide 13.5 by 3:
13.5 ÷ 3 : 3 ÷ 3
= 4.5 : 1
To increase 1 L of paint to 10 L of paint, we need to multiply by 10:
4.5 × 10 : 1 × 10
= 45 : 10
what is the absolute value of -4.5
Answer:4.5
Step-by-step explanation:
Answer:
Absolute value means any value but always positive. So |-4.5|=4.5
What is P44 ? 16 24 4 1
Answer:
Page 44? you mean
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
i just took the test
write the EQ of circle i find center and radius given
x² + y²-4x+12y =-4
Answer:
CENTER :(2,-6)
RADIUS: 6
FOLLOW ME❤️✨FOR M0RE QUESTION
THAT YOU WHAT ME TO ANSWER
Step-by-step explanation:
Hey there!
Given;
[tex] {x}^{2} + {y}^{2} - 4x + 12y = \: - 4[/tex]
Now, Try to make it a perfect square.
[tex] {x}^{2} - 4x + {(2)}^{2} - ( { 2)}^{2} + {y}^{2} + 12y + ( {6)}^{2} - ( {6)}^{2} = - 4 [/tex]
Make perfect square and shift -(2)^2 and -(6)^2 on right side.
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = - 4 + 40[/tex]
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = 36[/tex]
Comparing the equation with (x-h)^2(y-h)^2= r^2.
We get,
Centre (h,k)= (2,-6)
Radius (r) = 6
Hope it helps...
Find the vertex, the equation of the axis of symmetry, and the y-intercept of each function.
7) y = -2x-4x+5
Answer:
Vertex: (-1,7)
Equation of the axis of symmetry: x = -1
y-intercept: (0, 5)
Step-by-step explanation:
I will assume that the function is quadratic where it is supposed to be y = -2x² - 4x + 5.
The standard form of quadratic functions can be written as
y = ax² + bx + c
To find the vertex of this function, we need the axis of symmetry (aos).
aos = - b/2a
= - ( -4/-4)
= - 1
Axis of symmetry: x = -1
For the vertex, simply plug in the aos into the function.
f(x) = -2x² - 4x + 5
f(-1) = -2(-1)² -4(-1) + 5
= -2 + 4 + 5
= 7
Vertex: (-1, 7)
Now the y-intercept is the easiest part, since the function is written in standard form. When it is, the y-intercept is always (0, c), which in this case is (0, 5).
y-intercept: (0,5)
Which of the following is the equation of a nonlinear function?
A. y = 25
B. y = x −
C. y = 10x
D. y = x 2 + 15
Answer:
A
Step-by-step explanation:
y = 25 is a zero slope function and is also not in the form of y=mx+b, unlike the others.
Help help help help
Answer:
y = 5
x = 0
Step-by-step explanation:
soo i think elimination was this:
so first lets make -x = 3x
so we multiply -3 to the whole equation
3x + 3y = 15
now we eliminate (i think this is elimination)
3x + 5y = 25
-
3x + 3y = 15
----------------------------
0 + 2y = 10
2y = 10
y = 5
now substitute to one of the original equations
3x + 5(5) = 25
3x + 25 = 25
3x = 0
x = 0
now lets check
-0 -5 = -5?
-5 = -5
You play a gambling game with a friend in which you roll a die. If a 1 or 2 comes up, you win $6. How much should you lose on any other outcome in order to make this a fair game?
$
Answer:
every other roll should make u lose $3
which would be the right one????
Question 8 (Essay Worth 2 points)
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
Complete the following table:
Number of friends (f) 5 10 15 20
Cost of party (c) 100 200 300 400
Plots the points from the table onto the graph.
No fixed entry fee
Cost is 20$ per personIf no of persons be x
The expression is
y=20xVerification:-
100=5(20)=100Hence verified
Answer:
Let f be the number of friends
Let c be the cost of the party
As (f) is the independent variable, the number of friends will be along the x-axis.
As (c) is the dependent variable, the cost of the party will be along the y-axis.
If the cost of the party is $20 per person, then the equation to represent the relationship is:
c = 20 f
**see attached graph complete with plotted points**
Help me with this pls
Answer:
C. 72
Step-by-step explanation:
The whole angle measures 106 degrees as mentioned on top and we know that angle HFG is 34 degrees because it says so in that angle. Just do this: 106-34. The answer is 72. We subtract because we're finding the remaining/missing number in this problem. If you want to check if your answer is correct, you can add 72 and 34.
Another way you could do this is by just adding each option with 34 to see if you get a total of 106.
Need help asap
Everything provided below in picture
Answer:
[tex]1. \frac{4}{3}[/tex]
[tex]2.\frac{1}{3}[/tex]
Step-by-step explanation:
To find the scale factors, you find the length of one side from the image, and divide it by the length of the similar side in the image.
So, for #1, the image side is 8 units, and the pre-image is 6.
8/6 = 4/3
For #2, the image is 3 units, and the pre-image is 9 units.
3/9 = 1/3
Light travels at a speed of 1.9 times 10^5 miles per second. How far in miles does light travel in 30 seconds?
Answer:
5,700,000 miles
Step-by-step explanation:
[tex](1.9*10^{5})*30\\ \\190,000*30\\\\=5,700,000[/tex]
(−2/3)(1/6) I need to know how to do fraction accurately
Answer && Step-by-step explanation:
Simple.
- 2/3 1/6 line up together, we already know end result is neg since only one neg sign
2*1 = 2
6*3 == 18
ans == -2/18
The value of y is directly proportional to the value of x. If y =
60 when x = 240, what is the value of y when x = 100?
Answer:
25
Step-by-step explanation:
Since y= 60 when x=240 it would be 0.25 and 0.25 x100 would be 25