1. Essential Question How do you classity and
represent solid figures?
If your income is $3380 a month and you plan to budget 2/5 of your income for rent and 1/10 of your income for food, how much do you plan to spend each month on these two items? Simplify your answer.
Answer:
for the rent = $1352
for the food = $338
Step-by-step explanation:
plan to budget 2/5 of your income, it is the same as 4/10 of it
(3380) (4/10)
(338) (4) = $1352 this is what a 2/5 of the income is
_____
about the 1/10
(3380) (1/10)
(338) (1) = $338 and this is what a 1/10 of the income is
A large carton of sour cream is 36 ounces. How many cups of sour
cream does the container hold?
Answer:
4.5 cups
Step-by-step explanation:
What’s greater then in order? 1 , 0.7 , or 1/10
Answer:
1 > 0.7 > 1/10
Step-by-step explanation:
1 = 10/10
0.7 = 7/10
1/10 = .10
Answer:
1, 0.7, 1/10
Step-by-step explanation:
So 1/10 is like 0.1 you get this by dividing 1 by 10
So now you have 1,0.7,0.1
In grader than order its the biggest goes first all the way down to the smallest so in this case the first one would be 1 and the second one would be 0.7 and then 1/10 is the last one
Approximate which two integers does the root of 30 is between
Answer:
It lies between 5 and 6
Step-by-step explanation:
[tex]{ \tt{ \sqrt{30} = \sqrt{5 \times 3 \times 2} }} \\ \\ x={ \tt{ \sqrt{5} \times \sqrt{3} \times \sqrt{2} }} \\ \\ { \boxed{ \tt{= 5 < x < 6}}}[/tex]
x is the root of 30
A contractor needs to buy grass seed to cover a lawn. The dimension of the llama song below. One bag of grass seed cover isn’t it area of 600sy. Shade in the minimum number of bags of seed the contractor needs to buy the To cover the entire lawn.
The minimum number of bags of seed the contractor needs to buy the to cover the entire lawn is 4
How to determine the number of bagsStart by calculating the area of the entire field using:
[tex]Area = Length * Width[/tex] --- area of square
So, we have:
[tex]Area = (18 + 54 + 18)* 28[/tex]
[tex]Area = 2520[/tex]
Next calculate the area of the porch using:
[tex]Area = 0.5 * (L1 + L2) * H[/tex] -- area of trapezium
So, we have:
[tex]Area = 0.5 * (54+ (54 + 18 + 18 - 14 - 14)) * 10[/tex]
[tex]Area = 580[/tex]
The difference between the areas of the entire field and porch is the area of the lawn.
So, we have:
[tex]Lawn= 2520 - 580[/tex]
[tex]Lawn= 1940[/tex]
The above means that, the area of the lawn is 1940 square yards
If one bag of grass covers 600 square yards, then the number of bags that can cover 1940 square yards is:
[tex]n =\frac{1940}{600}[/tex]
[tex]n =3.23[/tex]
Round to the next highest integer
[tex]n =4[/tex]
Hence, the minimum number of bags of seed is 4 bags
Read more about areas at:
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Which of the following statements is true about a 30°-60°-90° right triangle?
OA) The length of the short leg is the squared value of the length of the hypotenuse.
OB) The length of the short leg is one-sixth the length of the hypotenuse.
C) The length of the short leg is one-third the length of the hypotenuse.
D) The length of the short leg is half the length of the hypotenuse.
Answer:
D) The length of the short leg is half the length of the hypotenuse.
Help pls
This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
34
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has fewer than 3 pairs of
shoes in their closet.
p = [?]
Enter
Answer:
0.32
Step-by-step explanation:
→ Add the frequencies for 1 pair of shoes and 2 pairs of shoes
12 + 20 = 32
→ Add all of the frequencies together
12 + 20 + 38 + 20 + 10 = 100
→ Divide 32 over the answer
32 ÷ 100 = 0.32
Solve for s.
3(s+8)=36
s = 2
s = 4
s = 8
s = 12
Answer:
3(s+8) = 36
= 3(4+8) = 36
=3(12) = 36
= 3×12 = 36
Answer:
s = 4
Step-by-step explanation:
To solve for "s", we need to simplify the distributive property on the LHS.
[tex]\rightarrow 3(s + 8) = 36[/tex]
[tex]\rightarrow 3s + 24 = 36[/tex]
Now, let's solve for "s".
[tex]\rightarrow 3s + 24 = 36[/tex]
[tex]\rightarrow3s + 24 - 24 = 36 - 24[/tex]
[tex]\rightarrow3s = 12[/tex]
[tex]\rightarrow \boxed{s = \dfrac{12}{3} = 4}[/tex]
How do i solve this??
-8x+6y=34
-8x-4y=44
Answer:
\/\/
Step-by-step explanation:
-8x+6y=34
(+8x) (+8x)
6y=8x+34
÷6
y=8/6x+34/6
or
y=1.3x+ 5.7
would you like me to do the other one step by step or would you like to try it going based on the other one?
John runs a computer software store. Yesterday he counted 125 people who walked by the store, 66 of whom came into the store. Of the 66, only 21 bought something in the store. (Round your answers to two decimal places.)
(a) Estimate the probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
A. Divide number of people in the shop by total people walking by:
66/125 = 0.528 = 0.53
B. Divide people who bought something by total people walking by:
21/125 = 0.168 = 0.17
d. 66 -21 = 45 people don’t buy anything.
45/66 = 0.68
A savings account pays 4% annual interest. Another account pays 5% annual interest. How
much money is in each account if the total interest from each account is $420 and if there is
twice the amount in the 5% account than the 4% account.
Step-by-step explanation:
are you having problems with something if so message this guy
Quadrilateral WXYZ with vertices W(0,-4), X(13,0), Y(9,-12), and Z(5,-12); scale factor: k = 3/4, center of dilation: (1,0).
W’
X’
Y’
Z’
Dilation involves changing the size of a quadrilateral or any shape
The coordinates of the image of the dilation are: [tex]W' = (1/4,-3)[/tex], [tex]X' = (10,0)[/tex], [tex]Y' = (7,-9)[/tex] and [tex]Z' = (4,-9)[/tex]
How to determine the vertices of the imageThe vertices of the pre-image are given as:
W = (0,-4)
X = (13,0)
Y = (9,-12)
Z = (5,-12)
The scale factor is given as:
k = 3/4
The center of dilation is given as:
(a,b) = (1,0)
To calculate the vertices of the image, we make use of the following formula
[tex](x'y') = (k(x-a) + a,k(y-b) + b)[/tex]
So, we have:
[tex]W' = (3/4(0-1) + 1,3/4(-4-0) + 0)[/tex]
[tex]W' = (1/4,-3)[/tex]
[tex]X' = (3/4(13-1) + 1,3/4(0-0) + 0)[/tex]
[tex]X' = (10,0)[/tex]
[tex]Y' = (3/4(9-1) + 1,3/4(-12-0) + 0)[/tex]
[tex]Y' = (7,-9)[/tex]
[tex]Z' = (3/4(5-1) + 1,3/4(-12-0) + 0)[/tex]
[tex]Z' = (4,-9)[/tex]
Hence, the coordinates of the image of the dilation are:
[tex]W' = (1/4,-3)[/tex], [tex]X' = (10,0)[/tex], [tex]Y' = (7,-9)[/tex] and [tex]Z' = (4,-9)[/tex]
Read more about dilation at:
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Drag the tiles to the boxes to form correct pairs
What are the unknown measurements of the triangle round your answer to the nearest hundredth as needed
Answer:
1st question : m C : 28
b : 7.06
c : 3.76
You are 100m from the base of a tall building. If your feet are exactly 180m from the top of the building, how tall is the building?
Please help, you'll be a lifesaver!
Answer:
the building would be 280 feet (judging on how this is worded.)
Step-by-step explanation:
you are already 100 meters from the base ( bottom) of the building so you add 180 as you are 180 ft from the top of the building. 100 + 180 is equal to 280.
Greg spent 3/4 of an hour each day for 2 days working on his project.Giselle spent 1/4 of an hour each day for 6 days working on her project.Who spent more time in total working on the project?
GregB) GiselleC) They spent the same amount of time on the project.D) There is not enough information to solve the problem.
PLEASE HELP ASAP
Answer:
C)They spent the same amount of time.
Step-by-step explanation:
Greg did 3/4 of an hour is 45mins for 2 days is x2 so Greg in total did 1 and 1/2 hours
Giselle did 1/4 of an hour which is 15mins for 6 days so x6 so Giselle did 1 and 1/2 hours too.
C)They spent the same amount of time on the project
2x + 3 - 15
Need help asap please
Answer:
If the question is to factorize, then the answer would be 2(x−6).
If the question is to simplify, then the answer would be 2x−12.
Answer: 2x -12
Step-by-step explanation:
hope this helped you. :)
For the right triangles below, find the exact values of the side lengths d and c.
If necessary, write your responses in simplified radical form.
Answer:
90 would be your answer because you have to add up 45 and 45 which you get 90 and 90 and 90 gives you 180 which your right angle will always equal up to if you get what im saying
If
A. M < GHI = 75
B. M < GHI = 25
C. M < GHI = 85
D. M < GHI = 15
Carly is planning on stenciling a pattern of flowers along the ceiling in her
bedroom. She wants all of the flowers to look exactly the same. What type of congruence
transformation should she use? Why?
Transformation involves changing the position and the size of a shape
The congruence transformation to use is translation
How to determine the congruence transformationFrom the question, we understand that:
She wants the flowers to look the same
To do this, she has to translate the image of a pattern of flower from one position to another
Hence, the congruence transformation to use is translation
Read more about transformation at:
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what is the factored form of this equation
2x3+5x2+6x+15
Answer:
37x
Step-by-step explanation:
I multiplied first and then rounded up all the equation
Answer:
[tex]{ \tt{ {2x}^{3} + {5x}^{2} + 6x + 15 }} \\ = { \boxed{ \tt{ \blue{ \: (2x + 5)(x \pm1.73i)}}}}[/tex]
What is 1800/100 using long division
Answer:
1800 divided by 100 = 18
Step-by-step explanation:
18
=
18 Remainder 0
!answer?????????????????????????
Answer:
The correct answer is option (d) x = 4.
Step-by-step explanation:
LMNO is a parallelogram.
NM = x + 23OL = 5x + 7As we know that, a parallelogram has opposite sides parallel and equal in length.
Now, according to the question :
[tex]\begin{gathered} \qquad{\dashrightarrow{\sf{NM = OL }}}\\\\\qquad{\dashrightarrow{\sf{x + 23= 5x + 7 }}}\\\\\qquad{\dashrightarrow{\sf{5x - x= 23 - 7 }}}\\\\\qquad{\dashrightarrow{\sf{4x= 16 }}}\\\\\qquad{\dashrightarrow{\sf{x= \frac{16}{4}}}}\\\\\qquad{\dashrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\underline{\boxed{\tt{\red{x = 4}}}}}} \end{gathered}[/tex]
Hence, the value of x is 4.
[tex]\rule{300}{2.5}[/tex]
PLEASE HELP ME I WILL GIVE YOU POINTS
Answer:I got 18.28
Step-by-step explanation:
so for getting the perimeter, you only need the outer line, so you sum the measurements you have for the rectangle: 1+2+2+7= 12. After that you need the circumference of the circle, you can figure it out by using the formula C = 2pi(r) You can find the radius by substracting the known sides of the rectangle attached to the circle from the bottom base and then dividing it in 2, leaving us with a radius of 2. Then we input values; C=2pi(2) which equals 4pi, but we need to divide that in half since it’s only half a circle. That leaves us with 2pi, or 6.28. Then we add the perimeter of the square, which was 12, and 6.28+12= 18.28
Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 122.9 volts, and use a class width of 0.2 volt. Does the result appear to have a normal distribution? Why or why not?
A frequency distribution table is a table that summarizes data in two columns.
The result does not appear to have a normal distribution.
How to construct the frequency distribution tableFrom the dataset, we have the following classes using 5 classes with a lower class limit of 119.4 and a class width of 0.2 volts
119.4 - 119.6, 119.7 - 119.9, 120.0 - 120.2. 120.3 - 120.5. and 120.6 - 120.8
So, the frequency distribution table is:
Class Frequency
119.4 - 119.6 4
119.7 - 119.9 10
120.0 - 120.2 6
120.3 - 120.5 5
120.6 - 120.8 0
The result does not appear to be normal.
This is so, because the frequency table do not go in form of a bell shape
Read more about frequency distribution table at:
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mean proportional between 25&16
Answer: I think its 20.
Step-by-step explanation:
Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?
Answer:
The median amount he makes is $84.00 in a day.
Step-by-step explanation:
Is Jacob correct in thinking that the median best represents how much money he makes in daily tips? Yes, Jacob is correct. The median amount he makes is $84.00 in a day.
-Hope that helps<3
To solve this problem, we have to understand statistical terminologies and most importantly, what is a median.
Jacob is wrong here because the median does not represent or estimates how much he earn but instead the mean will do that.
What is a median?In a set of a given data, the median is represented by the value just at the middle position.
Data;
$99$78$58$91$90$68The median does not give a right estimate of how much Jacob's earn from tips. This would've been accurate if it was the mean but in this case, Jacob is wrong.
Learn more on median here;
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#SPJ2
An increasing number of statistics courses use a computer and software rather than manual calculations. A survey of statistics instructors asked each to report the software his or her course uses. The responses are as follows: 1. Excel 2. Minitab 3. SAS 4. SPSS 5. Other a. Produce a frequency distribution. b. Graphically summarize the data so that the proportions are depicted. c. What do the charts tell you about the software choices
A frequency distribution shows the frequency of the data elements it represents
(a) A frequency distributionTo do this, we make use of a table that has the following columns
SNSoftwareFrequencyRelative frequencyUsing the given dataset, the frequency distribution is:
SN Software Frequency Relative frequency
1 Excel 34 48.6%
2 Minitab 17 24.3%
3 SAS 3 4.3%
4 SPSS 4 5.7%
5 Other 12 17.1%
(b) Present the frequency distribution on a chartSee attachment for the histogram that represents the frequency distribution
(c) Interpret the chartFrom the chart, we have the following highlights:
Most statistics instructors use Excel software.Least statistics instructors use SAS software.Read more about frequency distribution at:
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4,48).
Answer:
y = 3(2^x)
Step-by-step explanation:
Put the given point values in the equation and solve for 'a' and 'b'.
3 = a(b^0) = a . . . . . for x=0, y=3
The y-intercept has given us the value of 'a'.
__
The other point will tell us 'b'.
48 = a(b^4) = 3(b^4) . . . . . for x=4, y=48
16 = b^4 . . . . . . . . . . . . . . . divide by 3
2^4 = b^4 ⇒ b = 2
The exponential function is ...
y = 3(2^x)
_____
Additional comment
We can use roots to find b:
16^(1/4) = (b^4)^(1/4) = b
2 = b . . . . your calculator can do this, or √(√16) = 16^(1/4) = 2.
PLEASE HELP ASAP!! (NO LINKS)
Tell whether the ordered pair
(-5, -4) is a solution of the system.
