Answer:
4000 centimeters
Step-by-step explanation:
40 cm x 100 = 4000 cm
HELP PLEASE! I AM DOING A TEST TO QUALIFY FOR SCHOOL!!!
Marcus’s mom lets him play video games for a certain amount of time each day. He has already spent 9 minutes playing video games and has fewer than 27 minutes left to play. The inequality
t – 9 < 27 can be used to determine the number of minutes Marcus has left to play video games.
Which number line best represents the solution to the inequality?
Answer:
one where 36 is unshaded
Answer:
the first one
Step-by-step explanation:
Solve the following problems using equations. Show your working steps clearly.
1. Four years ago, the age of Paul was twice that of John. John is 18 years old now. How old is Paul now?
2. Five bottles of milk cost $4.4 more than four bottles of juice. If one bottle of milk costs $3.2, find the cost of one bottle of juice.
3. Miss Cheung spends 1/8 of her savings on personal ornaments and 5/6 on clothing. If her savings still has $130 left, find the original amount of her savings.
1.
Paul's present age = x
John's present age = 18
Paul's age 4 years ago = x - 4
John's age 4 years ago = 18 - 4 = 14
Also,
Paul's age four years ago was twice that of John's age four years ago.
Therefore,
Paul's age 4 years ago = 2(14)
= 28
Paul's age 4 years ago = x - 4 = 28
x - 4 = 28
x = 28 + 4
x = 32
Therefore, the present age of Paul is 32.
2.
Cost of one bottle of milk = $3.2
Cost of five bottles of milk = $3.2 × 5 = $15
Cost of four bottles of juice = $15 - $4.4
= $10.6
Cost of one bottle of juice = x
= Cost of four bottles of juice
4
= 10.6
4
= 2.56
Therefore, one bottle of juice costs $2.56.
3.
Savings spent on personal ornaments = 1/8
Savings spent on clothing = 5/6
Total savings spent = 1/8 + 5/6
= 3/24 + 20/24
= (3+20)/24
= 23/24
Savings left = 1/24 = $130
Total amount of savings = x
As 130 is one part of the total savings,
Total amount of savings =
x = 130 × 24
x = 3120
Therefore, original amount of savings is $3120.
Please help me It’s my birthday!
2. Janyce conjectured that in the visual pattern below, there would be 3n – 1 small
squares in the nth figure
Can you disprove Janyce’s conjecture?
Step-by-step explanation:
Janyce's rule doesn't work. In the case where n = 3 her rule predicts that there will be 3(3) - 1 = 8 squares but instead, there are 10 squares. Likewise, for n = 4, there are 17 squares instead of 11 that she predicted. Instead, I propose the rule [tex]n^2 + 1.[/tex] It works for all the figures shown and mostly likely, for all other values of n.
2. Part A;
Given that the number of squares obtained using Janyce conjecture for
figures 3 and 4 which are 8 and 11 squares respectively and the number of
squares in the diagram for figures 3 and 4 which are 10 and 17 squares
respectively are not the same, disproves Janyce conjecture
Part B:
The rule for the number of squares in the nth squares is n² + 1
The reasons the above conclusion and rule are correct is as follows:
2. Part A
The given number of squares in each figure are;
[tex]\begin{array}{|c|c|c|}\mathbf{Figure \ number}&\mathbf{Number \ of \ squares} &\mathbf{Janyce \ conjecture \ (3\cdot n - 1)}\\&&\\1&2 \ squares &(3 \times 1 - 1 = 2) \ squares \\2&5 \ squares&(3 \times 2 - 1 = 5) \ squares\\3&10 \ squares &(3 \times 3 - 1 = 8) \ squares\\4&17 \ squares&(3 \times 4 - 1 = 11) \ squares\end{array}[/tex]
Given that the number squares in figure 3, and 4 are;
Figure 3 = 10 squares
Figure 4 = 17 squares
Janyce conjectured number of squares are;
Figure 3 = 8 squares
Figure 4 = 11 squares
The values for the number of squares in the diagram in figures 3 and 4 are different from Janyce conjecture which disproves Janyce's conjecture for the number of squares in the nth figure
Part B
From the diagrams, we have;
The number of squares on the each figure is given by a square shape with a side length equal to the figure number of squares plus one extra square at the top right end corner, we have;
The area of the square part of the shape = n² = The number of squares in the square shape
The number of squares in the nth figure = n² + 1
Verifying, we have;
Figure 1 = (1² + 1) squares = 2 squares (Same as in diagram)
Figure 2 = (2² + 1) squares = 5 squares (Same as in diagram)
Figure 3 = (3² + 1) squares = 10 squares (Same as in diagram)
Figure 4 = (4² + 1) squares = 17 squares (Same as in diagram)
Therefore;
The correct formula for the number of squares in the nth figure = n² + 1
Learn more about the nth term of a sequence here:
https://brainly.com/question/12998719
https://brainly.com/question/15325765
https://brainly.com/question/21493252
A motorboat travels 116 kilometers in 4 hours going upstream. It travels 164 kilometers going downstream in the same amount of time. What is the rate of the
boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
9514 1404 393
Answer:
boat: 35 km/hcurrent: 6 km/hStep-by-step explanation:
Let b and c represent the rates of the boat and current, respectively. Then the upstream rate is ...
speed = distance/time
b -c = (116 km)/(4 h) = 29 km/h
b +c = (164 km)/(4 h) = 41 km/h
Adding these equations gives ...
2b = 70 km/h
b = 35 km/h
Substituting into the first equation, we have ...
35 -c = 29
c = 6
Rate of the boat: 35 km/h.
Rate of the current: 6 km/h
A survey of the members of a school house revealed the following statistics: 60% liked football, 56% liked hockey, 50% liked athletics, 26% liked football and hockey, 20% liked hockey and athletics,30% liked football and athletics, 10% liked all three sports. What percentage of the house liked football and hockey but not athletics? What percentage liked exactly two put of the tree sports? What percentage did not like any of the three sports?
Use the graph to find out over what interval f(x) is less than or equal to 0. PLEASE HELP ASAP!!!
Answer:
[-5, 2]
Step-by-step explanation:
We have to find the interval for which f(x) <= 0, the interval is [-5, 2].
A display case of glitter stickers are marked 15 for $2. If Cathy wants to buy 30 glitter stickers, how much will Cathy spend?
Answer:
$4, 15 x 2=30
2 x 2=4
Answer:
4 dollars
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
In the number 6.253
(a) What is the place value of 2 ...................................................................
(b) What is the value represented by 5 ...................................................................
Answer:
place value of 2 is 100
Step-by-step explanation:
please brainleist my answer
Answer:
The place value of 2 in 6.253 is 200
Step-by-step explanation:
Place value of 2 is occurring in hundreds
from the number 0,1,2,3,4,5
a. how many 2-digit number can be made if repetition is not allowed
b. how many 4-digit number less than three thousand can be made if repetition is allowed
c. how many 4 digits numbers greater than 4000 can be made if repetition is not allowed
Answer:
25, 432, 120
Step-by-step explanation:
a. 5 × 5 = 25 ways
b. 2 × 6 × 6 × 6 = 432 ways
c. 2 × 5 × 4 × 3 = 120 ways
Pre-algbra worksheet!!Please help!! will give brainliest!!
Answer:
1/4= 0.5=0.125, 2/4=0.5=0.125, 3/4= 0.75=0.1878
PLEASE HELP
1= a-13/-6
Show your work in details if you can, I have a hard time understanding this.
Answer: 7
Step-by-step explanation:
1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6: 1= a-13/-6 ==> -6=a-13
2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13
3. you know -6+13 equals 7 right? so the answer is a=7
Hey there! I'm happy to help!
We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.
[tex]\frac{a-13}{-6} =1[/tex]
What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.
We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.
[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]
Now we add 13 to both sides to undo the -13 on the left side.
[tex]a-13+13=-6+13[/tex]
[tex]a+0=7\\a=7[/tex]
Have a wonderful day and keep on learning! :D
You move left 4 units. You end at (-5, -5). Where did you start?
Answer:
(-1,-5)
Step-by-step explanation:
To understand where this point was before the transformation you must first understand the transformation itself. Shifting left is a horizontal translation, this means that it will affect the x-coordinate. The x-coordinate is the first digit in the pair. Therefore, in the case of (3,5), 3 would be the x-coordinate. Additionally, moving left is moving towards the negative, so it is the same as subtracting. Thus, to find where you started, work backward. Do this by adding 4 to the x-coordinate. This means the beginning coordinate was (-1,-5).
hi my friend needs help with this ASAP if you cant read the small writting under the equation it says (y is a fraction) PLEASE HELP she tried to do it on her own as you can see but she could not do it HELPPPPPP
Answer:
(3)
x = 0
y = 3/7
(4)
x = 6
y = -11
Step-by-step explanation:
the beginning was right, but get mistake was then to add the 2 equations but the parts with the y terms she suddenly subtracted.
no, one operation for everything. and then maybe another operation (and again for everything present).
so, some would multiply by -2 and then truly add.
or, as we will do it now to refuse as much as possible from your friend's work, we multiply by 2 and then SUBTRACT !
5x + 7y = 3
3x + 14y = 6
multiply the first equation by 2 and then subtract the second one.
10x + 14y = 6
- 3x + 14y = 6
-----------------------
7x + 0 = 0
=>
x = 0
then we use this e.g. in the first equation to get y :
5×0 + 7y = 3
7y = 3
y = 3/7
10x + 3y = 27
3x - 5y = 73
let's go e.g. for 15y (multiply the fits by 5 and the second by 3)
50x + 15y = 135
+ 9x - 15y = 219
------------------------
59x + 0. = 354
59x = 354
x = 6
10×6 + 3y = 27
60 + 3y = 27
3y = -33
y = -11
What is the range with steps? f(x)=x^2+8x+8
Answer:
[-8, ∞)Step-by-step explanation:
Given function:
f(x)=x² + 8x + 8This is a quadratic function with positive leading coefficient, therefore it is an increasing function with its minimum at vertex. It has no maximum value.
The vertex is at x = -b/2a:
x = -8/2 = -4The minimum value is:
f(-4) = (-4)² + 8(-4) + 8 = 16 - 32 + 8 = -8The range of the function is:
[-8, ∞)f(x)=x^2+8x+8
Find vertex to x[tex]\\ \sf\longmapsto \dfrac{-b}{2a}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8}{2(1)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8}{2}[/tex]
[tex]\\ \sf\longmapsto -4[/tex]
Find value of function at -4[tex]\\ \sf\longmapsto f(-4)[/tex]
[tex]\\ \sf\longmapsto (-4)^2+8(-4)+8[/tex]
[tex]\\ \sf\longmapsto 16-32+8[/tex]
[tex]\\ \sf\longmapsto -16+8[/tex]
[tex]\\ \sf\longmapsto -8[/tex]
The range is
[tex]\\ \sf\longmapsto (8,\infty)[/tex]
Simplify image below 20 POINTS!
Hey there!
I believe this would be your answer: [tex]\frac{a^2+ab+b^2} {a+b}[/tex]
Hope this helps!
Have a great day!
Please solve the equation for z
Answer:
z = 2y - 4x
Step-by-step explanation:
[tex]{ \sf{x = \frac{2y - z}{4} }} [/tex]
multiply both sides by 4:
[tex]{ \sf{(4 \times x) = ( \frac{2y - z}{4}) \times 4 }} \\ \\ { \sf{4x = 2y - z}} \\{ \sf{z = 2y - 4x}}[/tex]
how many inches is 10560 feet?
Answer:
126720
Step-by-step explanation:
Find the perimeter of the shape shown below.
Answer:
22 cubes
Step-by-step explanation:
Hi! I'm happy to help!
Perimeter is the total length of all the sides.
Let's start out with the top left corner and work our way counterclockwise.
For our first segment, we start from the top left corner and go to the bottom left corner, this is a length of 3, let's start our equation:
3+
Next, we are at the bottom left corner, let's go to the bottom right corner. This is a length of 5. Let's expand our equation:
3+5+
Now we are at the bottom right corner, let's go to the top right corner. This is also a length of 3. Let's add that to our equation:
3+5+3+
Now we are at the top right corner, lets go to the top middle right corner, which is to the left one unit. Let's add this:
3+5+3+1+
Now, let's head down 2 units to the inside of our shape.
3+5+3+1+2+
Move toward the center one unit:
3+5+3+1+2+1+
Move up one unit:
3+5+3+1+2+1+1+
Move left one unit:
3+5+3+1+2+1+1+1+
Move down one unit:
3+5+3+1+2+1+1+1+1+
Move left another unit:
3+5+3+1+2+1+1+1+1+1+
Start heading back up 2 units towards the top left corner:
3+5+3+1+2+1+1+1+1+1+2+
Finally, reach back 1 unit to the top left corner:
3+5+3+1+2+1+1+1+1+1+2+1=
Let's solve:
3+5+3+1+2+1+1+1+1+1+2+1=
8+3+1+2+1+1+1+1+1+2+1=
11+1+2+1+1+1+1+1+2+1=
12+2+1+1+1+1+1+2+1=
14+1+1+1+1+1+2+1=
15+1+1+1+1+2+1=
16+1+1+1+2+1=
17+1+1+2+1=
18+1+2+1=
19+2+1=
21+1=
22
Our perimeter is 22.
I hope this was helpful,(I think this was longer than it needed to be) keep learning! :D
find the number halfway between 19 and -55
Answer:
-18 is answer vvv9p6trrrd
When solving the given equation, what is the first step?
(a)
Given: x - 3=8
А
Add 3 to both sides
B
Subtract 3 from both sides
C
Multiply -3 to both sides
D
Divide -3 from both sides
(b) What is the solution to the give equation?
Given: 1 - 3 = 8
Answer:
A
Step-by-step explanation:
You are given that x - 3 = 8
It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.
In this case, x has 3 taken away from it. So you have to get x by itself. The way to do that is to add 3. Then the -3 on the left disappears.
x - 3 + 3 = 8+3
x = 11
The answer is A
Answer:
don't know actually but I can elaborate the solution
Step-by-step explanation:
x-3=8
x=8+3
x=11Ayudaa con esa qnq
-9/4 + 3/7 x -1/11
Answer:
3x-721/44 over 7
Step-by-step explanation:
1)Combine multiplied terms into a single fraction
2)Multiply the numbers
3)Subtract the numbers
4)Find common denominator
5)Combine fractions with common denominator
6)Multiply the numbers
7)Rearrange terms
Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0,3). Use Green's Theorem to evaluate the line integral
∫C 8y^2 x dx + 6x^2 y dy
Let D denote the region whose boundary is C. By Green's theorem,
[tex]\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}[/tex]
Calculate the area of each figure.
Answer:
230cm²
Step-by-step explanation:
We can split the shape into 2 parts - the triangle and the rectangle.
The area of the retangle is 10*17cm = 170cm²
The area of the triangle = 1/2 * (22-10) * (17-7)
= 1/2 * 12 * 10 = 60
Therefore the total area is equal to 170+60 = 230cm²
On a scatter plot, what is the difference between a positive and a negative correlation
Answer:
Positive correlation means that as the first variable increases, the second variable increases as well. ... Negative correlation would mean that as one variable increases, the second variable decreases. Negative correlation corresponds to points that move down as you go from left to right on your scatter plot
Hope this helps you!
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number.
- 10,9
9514 1404 393
Answer:
10, -1
Step-by-step explanation:
If you assume the numbers are integers, you can look at the factor pairs that make -10:
-10 = 10(-1) = 5(-2) = 2(-5) = 1(-10)
The sums of these pairs are 9, 3, -3, -9, so the pair of interest is the first one:
10, -1
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
(3,-8) and (7,-2)
Jeejekrjrjeksksndnfkfk
Answer:
First question(-14)
Second question(-24)
Step-by-step explanation:
8 x 3 = 24/since the signs are different the number will be negative.
7 x -2 = -14/since the signs are different the number will be negative.
hope this helps!! plz mark as brainly if it helps you<3
PLEASE HELP ME I DKNT UNDERSTAND
Answer:
a.36
b.8.5
c.2.5
d.6
e.9
f.8
how do you write -10 2/9 as a decimal
Answer:
10.22
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
10 × 9 = 90
Step 2: Add the product you got in Step 1 to the numerator:
90 + 2 = 92
Step 3: Divide the sum from Step 2 by the denominator:
92 ÷ 9 = 10.222222
Find the value of x.
9514 1404 393
Answer:
C) 41
Step-by-step explanation:
The angles of the linear pair are supplementary, so you have ...
(x +16)° +123° = 180°
x = 41 . . . . . . . . . . . . . . divide by °, subtract 139
Answer:
x = 41
Step-by-step explanation:
The angles shown are supplementary
Supplementary angles add up to equal 180
This means that x + 16 + 123 = 180
x + 16 + 123 = 180
Solve for x
Combine like terms ( add 16 and 123 )
x + 139 = 180
Subtract 139 from both sides
x = 41