Answer:
3 < M - N < 9
Step-by-step explanation:
First, let's write the inequalities for these two numbers.
"a number greater than -3 and less than -2"
-3 < N < -2
"a number greater than 1 and less than 6"
1 < M < 6
We want to subtract the first one to the second one, so we want to get:
M - N
Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.
Then the minimum value of M - N happens when:
M = 1
N = -2
(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)
Then the lower bound is:
M - N = 1 - (-2) = 3
We already got:
3 < M - N
For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N
This is:
M = 6
N = -3
M - N = 6 - (-3) = 9
Then:
M - N < 9
If we take both of our results, the possible values of the subtraction are given by:
3 < M - N < 9
The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as
3 < M - N < 9
What is the result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6Question Parameter(s):
-3 < N < -2
1 < M < 6
therefore,
subtraction for lower bound
M - N = 1 - (-2)
M - N = 3
3 < M - N
subtraction for upper bound
M - N = 6 - (-3)
M - N = 9
M - N < 9
In conclusion, the possible values after subtraction are
3 < M - N < 9
Read more about Inequality
https://brainly.com/question/19491153
Expand and simplify 2(x+3y)+5(2x+y)
Answer:
Step-by-step explanation:
2(x+3y)+5(2x+y)
2x + 6y + 10x + 5y
Solving like terms
12x + 11y
Please help me
Kali and Kim each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Kali spent $32 on 2 rose bushes and 14 shrubs. Kim spent $26 on Il rose bushes and 2 shrubs. What is the cost of one rose bush and the cost of one shrub?
Answer:
$2 for 1 rose bush and $2 for one shrub
Step-by-step explanation:
32=2x+14y
26=11x+2y
32=2(2)+14(2)
32=4+28
32=32
26=11(2)+2(2)
26=22+4
26=26
Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool
Answer:
The cost of one rose bush is $2 and the cost of one shrub is $2.
Step-by-step explanation:
Let r represent the cost of 1 rose bush and s the cost of 1 shrub.
Kali's expenditure
2r + 14s = 32
Divide each term by 2
r + 7s = 16 ------ (i)
Kim's expenditure
11r + 2s = 26 ------ (ii)
From equation (i)
r = 16 - 7s
11(16 - 7s) + 2s = 26
176 - 77s + 2s = 26
-75s = 26 - 176
-75s = -150
s = -150/-75 = 2
r = 16 - 7s = 16 - 7(2) = 16 - 14 = 2
The cost of one rose bush is $2 and the cost of one shrub is $2
Can someone please help me out
Answer:
7. The Puerto Rican Parrot's are the limiting factor in this scenario. 8. Yes because the hurricanes are limiting the Parrots population. 9. Other ways species can be limited because of the weather are either any natural disasters.
Step-by-step explanation:
Hope this helped : )
Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?
What percent of the ninth graders scored above an 87?
I need help please!!
Answer:
1
Step-by-step explanation:
sike i lied this is so easy pls try pls
A person swims 11 miles
downriver in the same time
they can swim 7miles
upriver. The speed of the
current is 4 mph, find the speed of the person in still water
Question below...15 points.
Answer: i think its c
Step-by-step explanation:
but im not totally sure
Answer:
B. s = 9 inches
Step-by-step explanation:
We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.
Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.
P = 4s
36 = 4s
Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :
36 = 4s
Divide 4 from both sides :
9 = s
s = 9
(2.5) . (1.4) *The dot stands for x*
Answer:
3.5 is the the answer if it is 2,5 × 1,4
otherwise it is 40 if (2×5) × (1×4)
Answer:
3.5
Hope that this helps!
joseph ordered 17 yards of lumber to build a tree house. how many inches of lumber did he order?
Answer:
612 inches.
Step-by-step explanation:
1 yard = 36 inches.
17 * 36 =
Answer:
612 inches
Step-by-step explanation:
1 yard = 36 inches
17 yards = 36 × 17 = 612 inches
Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.
Answer:
The gradient of the line segment between the two points is -1
Step-by-step explanation:
The gradient of the line segment between two points is also known as the slope,
We can find this by using the formula; y₂ - y₁ / x₂ - x₁
The points given to us are;(-1,2) and (-2,3).
This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3
We can now proceed to insert our values into the formula;
Gradient = y₂ - y₁ / x₂ - x₁
= 3 - 2 / -2-(-1)
= 1 / -2 + 1
=1/-1
Gradient = -1
Therefore the gradient of the line segment between the two points is -1
Heyy I'm the person who helped you with the test. Anyway I disagree with the person who answered on top. The correct answer is -5/2!
What are the factors of the product represented below?
A. (4x + 1)(2x+3)
B. (2x+ 1)(4x+3)
c. (4x + 2)(3x + 1)
D. (8x + 1)(x+2)
Aight so I got a grade of 44% on my module 6 exam... the assignment is worth 80 points and my grade is a 94.45%. I'm waiting on 2 unfinished essays. How much will this bring down my grade?
Answer:
It depends how many points you already have
Step-by-step explanation:
how much are the essays worth? i might be able to get your final score if you tell me
A numbered dice has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?
Answer:
5/8
Step-by-step explanation:
Cesar does the same number of push-ups everyday. On day 7 he had done a total of 35 push-ups. How many push-up does Cesar do each day? If he continues at this rate, how many total push-ups will he have done on day 10?
Answer:
first question
5 push-ups a day
second question
50 push-ups
Step-by-step explanation:
First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.
Then you multiply the number of days by the number of push-ups Cesar does in a day.
10 x 5 = 50
What is the probability of a blue jay being the next bird papa sees?
Answer:
A) 0.421
Step-by-step explanation:
[tex]\frac{59}{59+68+12+1} =\frac{59}{140}[/tex]
[tex]Answer:0.421[/tex]
----------------------
hope it helps...
have a great day!!
please help me people
Answer:
122.5 cm²
Step-by-step explanation:
a = 21cm
b = 14cm
h = 7cm
Area of given figure(trapezium) = [tex]\frac{a+b}{2} * h[/tex]
= 21 + 14/ 2 * 7
= 35/2 * 7
= 17.5 * 7
= 122.5 cm²
HELP PLEASEEEEEEEEEEEEEEEEEEEEE
Answer:
22%
Step-by-step explanation:
Janiya has a shoebox with a volume of 609 cubic inches. The length of the shoebox is 14.5 inches and the width is 7 inches. What is the height of the shoebox? Group of answer choices
Answer:
6 inches
Step-by-step explanation:
Hi there!
[tex]V=lwh[/tex] where l is the length, w is the width and h is the height of a rectangular prism
Plug in the volume (609), length (14.5) and width (7)
[tex]609=(14.5)(7)h\\609=(101.5)h[/tex]
Divide both sides by 101.5 to isolate h
[tex]\frac{609}{101.5} =\frac{101.5h}{101.5} \\6=h[/tex]
Therefore, the height of the shoebox is 6 inches.
I hope this helps!
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
A supermarket had bags of grapes for $20.72 for 7. They also had bags of green grapes priced at 8.46 for 3. Which type of grapes is most expensive?
Answer:
The grapes are more expensive than the green grapes.
Step-by-step explanation:
GRAPES: If you divide $20.72 by 7, to get one bag of grapes instead of seven, you get $2.96/bag.
GREEN GRAPES: If you divide $8.46 by 3, to get one bag of green grapes instead of three, you get $2.82/bag.
$2.82 is less than $2.96, therefore, the grapes are more expensive than the green grapes.
D. 13 inches
(PLS HELP!!!!)
Answer:
A
Step-by-step explanation:
HELP PLEASE WILL MARK Brainliest. 20 POINTS!!
Answer:
Step-by-step explanation:
9 square + 4 square = c Square
81 + 16 = c Square
98 = c square
98 Square root = c
The answer is Acan you choose me brainliest?
Which measurements could not represent the side lengths of a right triangle?
F 25 feet, 60 feet , 65 feet
G 9 feet, 12 feet, 15 feet
H 20 feet, 25 feet, 30 feet
12 feet, 35 feet, 37 feet
The limo travels 50 miles per hour on average. How many feet per second does the limo travel? Round to the nearest tenth
Answer:
70 - 80 foot per second
Step-by-step explanation:
Multiply the speed value by 1,467
The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?
Answer:
[tex]x^2+ 18x -130=0[/tex]
Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:
[tex]Area = Length * Width[/tex]
So:
[tex]A_1 = (x + 6) * (3x - 2)[/tex]
The smaller rectangle
[tex]A_2 = (x - 1) * (2x)[/tex]
The difference between this areas give the area of the shaded region.
So:
[tex]A_1 - A_1 = 118[/tex]
[tex](x+6)*(3x-2) - (x-1)*2x = 118[/tex]
Open brackets
[tex]3x^2 - 2x + 18x -12 -2x^2 +2x = 118[/tex]
Collect like terms
[tex]3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0[/tex]
[tex]x^2+ 18x -130=0[/tex]
The above equation can be used to solve for x
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST. Coleen read 159 pages of a book. This number represents 75% of the number of pages in the book. What is the total number of pages in the book.
help ASAP with working if possible
Answer:
1. The volume of the cylinder is approximately 0.153 m³
2. 25 cm
3. [tex]25.\overline 6 \ cm[/tex]
4. 16 m
5. 1,785 m³
Step-by-step explanation:
The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid
1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top
The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m
The area of the circular cross-section, A = π·d²/4
∴ A = π × 0.5²/4 = 0.0625·π
A = 0.0625·π m²
The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m
∴ The volume of the cylinder, V = A × h
∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153
The volume of the cylinder, V ≈ 0.153 m³
2. The given volume of the trapezium, V = 8550 cm³
The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively
The height of the trapezium from the diagram, h = 18 cm
The cross-sectional area of the trapezium, 'A', is found as follows;
A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²
The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium
∴ l = V/A
By substitution, we have;
l = 8550 cm³/(342 cm²) = 25 cm
∴ The Missing Length, l = 25 cm
3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³
The area of the (uniform) cross-section of the solid, A = 15 cm²
∴ The length of the solid, 'l', from V = A × l, is given as follows;
l = V/A
∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm
The length of the solid, l = 25.[tex]\overline 6[/tex] cm
4. From the diagram, we have;
The cross-sectional area of the solid, A = 216 m²
The length of the solid, l = 16 m
5. The cross-section of the solid can can be assumed to be either;
1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.
2. A triangle located above a rectangle
For scenario one, we have;
The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25
For scenario two, we find 'A' as follows;
A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25
∴ The cross-sectional area of the solid, A = 89.25 m²
The length, 'l', of the solid, is given as l = 20 m
The volume of the solid, V = A × l
∴ V = 89.25 m² × 20 m = 1,785 m³
The volume of the solid, V = 1,785 m³.
What is the measure of angle x?
A 44°
B 53°
C 83°
D 180°
Answer:
C
Step-by-step explanation:
53 + 44 + x = 180
97 +x = 180
x = 83
from edgunuity please help asap! image attached above