write y=(- 3/4)x+3 in standard form using intregers
What is the length of the diagonal of a 10cm by 15com rectangle
a2 + b2 = c2
102 + 152 = c2
100 + 225 = c2
√325 = c
5√13 = c
The diagonal measures 5√13 cm.
o decorate his bedroom, Mike spent $41.64 on new bedding, $36.84 on paint, and $72.49 on accessories. About how much did he spend to decorate his bedroom?
Answer:
Mike spent $150 on his decorations.
Step-by-step explanation:
In order to find the amount of money Mike spent on his decorations you must add all the costs together.
$41.64 + $36.84= $78.48
$78.48 + $72.49= $150.97
Then you round 150.97 to 151, which is also close to 150.
Hope this helps :)
Expand the polynomial:
(5a+1/5 b)^2
Prove it is rational by writing it as a quotient of two integers. Please answer these problems, I need to check my answers. Ignore the blank ones, I was able to check them. Thank you!
1. 2.4
2. 74
3. 17.3333333…
4. π
5.
6. –18
7.
8. 87.125
9. –30
10. –8.3
11. 58.25
12. 121
13. 4.5
14.
What is 3 1/3 +(-2 1/4) + 1 5/6 as a mixed fraction
By separating between whole numbers and fractions, we will see that the sum is equal to 2 + 11/12.
How to add mixed numbers?
Here we want to perform the sum:
(3 + 1/3) + (-2 - 1/4) + (1 + 5/6)
We separate between whole and fractions, so we get:
(3 - 2 + 1) + (1/3 - 1/4 + 5/6)
The left part is easy: 3 - 2 + 1 = 2
The right part needs to find a common denominator, we will use 12.
1/3 - 1/4 + 5/6 = 4/12 - 3/12 + 10/12 = 11/12
Then the sum is:
(3 + 1/3) + (-2 - 1/4) + (1 + 5/6) = 2 + 11/12
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find two consecutive odd integers such that 36 more than the lesser is three times the greater
Final answer:
To find two consecutive odd integers such that 36 more than the lesser is three times the greater, set up an equation and solve for the variable x. The two consecutive odd integers are 15 and 17.
Explanation:
To find two consecutive odd integers such that 36 more than the lesser is three times the greater, we can set up an equation:
x + 36 = 3(x + 2)
Simplifying this equation, we get:
x + 36 = 3x + 6
Subtracting x from both sides, we get:
36 = 2x + 6
Subtracting 6 from both sides, we get:
30 = 2x
Dividing both sides by 2, we get:
15 = x
Therefore, the two consecutive odd integers are 15 and 17.
A bag contains 30 cookies: 6 vanilla, 12 chocolate, and 12 oatmeal. What is the probability that an oatmeal is randomly selected?
A) 1/4
B) 1/5
C) 1/6
D) 2/5
Option: (D). The Probability that an oatmeal is randomly selected is 2/5.
What is Probability?
Probability is Possibility. Probability deals with" an occurrence of an Random event. It values varies from 0 to 1".
According to the question,
Number of vanilla = 6
Number of chocolate = 12
Number of Oatmeal = 12
Formula for Probability of an event to occur P(E) = [tex]\frac{Number of favourable event}{Total Number of an event}[/tex]T.
Total number of an Outcomes = 30
P(E) = [tex]\frac{12}{30}[/tex]
=[tex]\frac{2}{5}[/tex]
Hence, The Probability that an oatmeal is randomly selected is 2/5.
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The probability of selecting an oatmeal cookie from a bag of 30 cookies (6 vanilla, 12 chocolate, and 12 oatmeal) is 2/5, which is answer choice D.
The student's question involves calculating the probability of selecting an oatmeal cookie from a bag containing multiple types of cookies. The total number of cookies is 30, comprising 6 vanilla, 12 chocolate, and 12 oatmeal cookies. To find the probability of selecting an oatmeal cookie, we use the formula:
Probability (selecting an oatmeal cookie) = Number of oatmeal cookies / Total number of cookies.
This gives us:
Probability (selecting an oatmeal cookie) = 12 / 30 = 2 / 5
So, the probability that an oatmeal cookie is randomly selected is 2/5, which corresponds to answer choice D.
Between which two consecutive integers does ???147 lie?
A.
146 and 148
B.
12 and 13
C.
11 and 12
D.
10 and 11
The consecutive numbers where the square root of 147 will lie are between 12 and 13.
Consecutive numbers simply mean the numbers that follow each other. Examples of consecutive numbers are 2,3, 4.
It should be noted that the square root of 147 is 12.12. Therefore, 12.12 can be found between 12 and 13. In conclusion, the numbers will be 12 and 13.
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HELP WILL MARK BRAINLIEST!!!!!!!!!!!Cindy has to write an 18-page report. If she has written 1/3 of a report so far, how many pages has she written?
A. 4 pages
B. 6 pages
C. 8 pages
D. 9 pages
PLEASE HELP ME PLSSSSSSSSSSSSS
The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data. y = 3.4x + 43
According to the model, what is the average number of pizzas sold in one night if no coupons are issued?
Question 5 options:
A 43
B 0
C 11
D 21
Answer:
option: A is correct.
Step-by-step explanation:
We are asked to find the average number of pizzas sold in one night if no coupons are issued.
i.e. we have to find the value of y such that x=0 i.e. no coupon was issued.
We are given a equation which represents the linear model for this data:
y = 3.4x + 43
where y denotes the average number of pizza sold and x denotes the number of coupons issued.
Hence when x=0 we have value of y from the above linear equation as:
y=3.4×0+43=0+43=43
i.e. y=43.
Hence, average number of pizzas sold in one night if no coupons are issued are 43.
Think this belongs to math, I'm not sure though, anyway, what is the width and length of a wooden plank if the dimension is 12,5 x 8,5cm?
You can infer from this problem that the shape of the wooden plank is a rectangle based on the dimensions given. The length of a rectangle is usually the longest side of the rectangle so you can conclude that the length of the rectangle is 12.5 cm. Therefore, the width is 8.5 cm.
Make a conjecture about the position, size and shape of a figure if a composition of transformation included a dilation
HELP THIS IS URGENT HELLPP
NEED HELP ASAP 20 POINTS
A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?
TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5
A) nc= 9, $10
B) nc= 72, $6
C) n/c= 72, $12
D)n/c= 9, $12
As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:
[tex]3\times24=72[/tex][tex]6\times 12=72[/tex][tex]9\times 8=72[/tex][tex]16\times 4.5=72[/tex]Thus, the function which models the data is the [tex]nc=12[/tex].
Now, let us move on to the next part of the question:
If 12 students go on the trip then the cost per student as per this model will be:
[tex]\frac{72}{12}=6[/tex] dollars=$6
Therefore, out of the given options, the option the correct option is number B.
Answer:
nc=72,6$
Step-by-step explanation:
Write a real-world problem that can be represented by a rule and a table using division
What value of k makes the equation true?
a.2
b.3
c.4
d.8
Its C. 4
Correct on edge :D
a map is drawn with a centimeter representing 25 Miles. if the distance between two towns ia 3 centimeters on the map, what is the actual distance between the two towns?
800 hm = _____ cm
8
0.08
8,000,000
80,000
Answer:
Exactly what they said (the answer is i bold at the bottom)
Step-by-step explanation:
(80z) to the 3/4 power
Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years. y = 15,200 ∙ 2x; about 15,564,800 people y = 2 ∙ 15,200x; about 304,000 people y = 15,200 ∙ 1.02x; about 18,529 people y = 15,200 ∙ 2x; about 18,529 people
in a first aid kit the ratio of large bandages to small bandages is 5 to 2. Based on this ratio, how many large bandages are in the kit if there are total of 60 bandages?
If the dimensions of a parallelogram are increased by a factor of two, how will the perimeter of the object be affected?
increase by a factor of four
decrease by a factor of one-fourth
increase by a factor of two
decrease by a factor of one-half
Answer:
increase by a factor of two
Step-by-step explanation:
Given that dimension of a parallelogram are increased by a factor of 2.
Let the sides of the parallelogram be l and w.
Then perimeter = 2(l+w)
When each side is increased by a scale factor of 2, we get new dimensions as
2l and 2w
Hence new perimeter = 2(2l+2w) = 4(l+w)
= twice as old perimeter
Hence increase by a factor of two
Which is the ratio for sin A, written as a fraction in simplest form?
Answer:
√3/2
Step-by-step explanation:
Trent is fishing from a pier. ●The tip of his fishing rod is 53 ¾ feet above the surface of the water. ●The hook on the end of the fishing line is directly below the tip of the fishing rod 12 ⅔ feet below the surface of the water. Trent estimates that the distance between the tip of his fishing rod and the hook is less than 65 feet. Is Trent’s estimate reasonable? Explain your answer. HELP Please
Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds,one into fourths,one into sixths,and one into eights
I need help with my assignments on these two questions
a. Using properties of exponents, the value of the expression is 10⁰
b. The equation has no solution
What are properties of exponents?a. Properties of exponents are mathematical rules that allow us to simplify and manipulate expressions involving exponents. These properties help us perform operations such as multiplication, division, and raising to a power more efficiently.
In the given problem, we have to solve and simplify using properties of exponents.
Given that; [tex]\frac{10^-^3}{10^-^3}[/tex];
we can apply quotient rule when dividing exponents here;
[tex]\frac{10^-^3}{10^-^3} = 10^-^3 ^+^3 = 10^0[/tex]
The answer is 10⁰
b. To simply the equation, we just need to use basic mathematical operation to find the value of x.
3x - 2x + 4 = 5x - 4x - 8
Simplify;
x + 4 = x - 8
Collect like terms
x - x = -8 - 4
0 = -12
No solution
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what is the mean median and mode
what is the circumference of a circle with a diameter of of 8.4 cm?
Need answers please:)