Step-by-step explanation:
[tex] \tt{ 1. \: \: 4 \frac{1}{9} + 1 \frac{1}{2}}[/tex]
⇢ [tex] \tt{ \frac{37}{9} + \frac{3}{2} }[/tex]
⇢ [tex] \tt{ \frac{37 \times 2 + 3 \times 9}{18} }[/tex]
⇢ [tex] \tt{ \frac{74 + 27}{18} }[/tex]
⇢ [tex] \tt{ \frac{101}{18}} [/tex]
⇢ [tex] \boxed{ \tt{5 \frac{11}{18}} }[/tex]
---------------------------------------------------------
[tex] \tt{ \: 2. \: \: 4 \frac{1}{2} \div \frac{3}{5}}[/tex]
⇢ [tex] \tt{ \frac{9}{2} \times \frac{5}{3}} [/tex]
⇢ [tex] \tt{ \frac{9 \times 5}{2 \times 3}} [/tex]
⇢ [tex] \tt{ \frac{45}{6}} [/tex]
⇢ [tex] \boxed{ \tt{7 \frac{3}{6}} }[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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I need major help with number 5. Please show the work.
Answer:
Step-by-step explanation:
p-1=5p+3p-8
7=7p
p=1
Answer:
p = 1
Step-by-step explanation:
[tex]p-1 = 5p + 3p - 8[/tex]
combine like terms on the right side
[tex]p - 1 = 8p - 8[/tex]
subtract 8p from both sides
[tex]-7p - 1 = -8[/tex]
add 1 to both sides
[tex]-7p = -7[/tex]
divide both sides by -7
[tex]p = 1[/tex]
Which expression has a term with a coefficient greater than 1?
m - 5 x 3
5/6m + 3
5 + 3m
5 + m
Answer:
5+3m
Step-by-step explanation:
n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4
Please i need the answer ASAP
here u go
In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points T and U lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.PLS MARK ME AS BRAINLIST!!!!!
y = 3x + 4
state the slope and the y-intercept for the graph of each equation
Answer:
3x = slope
4 = y-intercept
Step-by-step explanation:
Actual formula: y = mx + b
where m = slope
b = y-intercept
Equation given: y = 3x + 4
In this case the "3x" is the slope
And the "4" is the y-intercept (it never changes as well)
Hope this helped!
Have a supercalifragilistcexpialidocious day!
PLEASE I NEED HELP!!!!Annika finished
of her run in
of an hour.
How long will her whole run take?
Less than 1 hour
More than 1 hour
Exactly 1 hour
Answer:
More than 1 hour . Cheers.
Step-by-step explanation:
1/4 x 4 = 1
1/2 x 4 = 2
2<1
Ingrid had 30 dollars to spend on 3 gifts. She spent 10 3/4 dollars on gift A and 5 1/2 dollars on gift B. How much money did she have left for gift C?
Answer:
ggs
Step-by-step explanation:
can someone help me please?
A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?
at the pediatricians office, patients are able to select a toy from the toy bin. The toy bin has 12 puzzles, 16 boxes of crayons, and 2 bouncy balls. What is the probability of selecting anything but a bouncy ball
Answer:
9%
Step-by-step explanation:
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Hannah has 4 L of cooking oil's in a bottle she uses 1 1/2 L of the oil how many liters of oil are left in the bottle
graph a line that contains the point (3,-6) and has slope of -1/2
Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y intercept
Since, m = -[tex]\frac{1}{2}[/tex]
Equation of the line will be,
y = [tex]-\frac{1}{2}x+b[/tex]
Since, a point (3, -6) lies on the line,
-6 = [tex]-\frac{3}{2}+b[/tex]
b = -6 + 1.5
b = -4.5
Equation of the line will be,
[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]
Table for the points on the graph,
x -4 -3 -2 -1 0
y -2.5 -3 -3.5 -4 -4.5
Plot these points and join them to get the graph of a line.
4
Betsy was given £75 for her birthday.
She saved some of the money and spent the rest on a T-shirt and a bag.
Betsy saved 40% of the £75
She spent £12 more on the bag than she spent on the T-shirt.
Work out how much Betsy spent on the bag.
Answer:
Total money Betsy spent on T-shirt = £ 16.5
Total money Betsy spent on Bag = £ 28.5
Step-by-step explanation:
As given, Total money Betsy have = £ 75
Given that Betsy saved 40% of £ 75
⇒Betsy saved = [tex]\frac{40}{100}*75 = \frac{3000}{100} =[/tex]£ 30
So, total money spent on T-shirt and bag = £ 75 - £ 30 = £ 45
Let Betsy spent money on T-shirt = x
Betsy spent money on Bag = y
⇒ x + y = £ 45 ........(1)
As given, She spent £12 more on the bag than she spent on the T-shirt.
⇒ y = £ 12 + x
Put the value of y in equation (1), we get
x + £ 12 + x = £ 45
⇒ 2x + £ 12= £ 45
⇒ 2x = £ 45 - £ 12
⇒ 2x = £ 33
⇒ x = £ [tex]\frac{33}{2}[/tex] = £ 16.5
⇒ x = £ 16.5
⇒ y = £ 12 + £ 16.5 = £ 28.5
∴ we get
Total money Betsy spent on T-shirt = x = £ 16.5
Total money Betsy spent on Bag = y = £ 28.5
Evaluate the expression when
C = 6 and d = 3.
(c- d)2 x 3
(6-3)2 x 3
(3)2 x 3
6 x 3
18
PARKING Stephanie is drawing the layout of a parking lot on a coordinate grid and needs to verify that two
sides meet in a right angle. In her sketch, one side of the parking lot has endpoints A(0,0) and B(50,0). The
second side of the parking lot has endpoints B(50,0) and C(18, 24). How can Stephanie prove that the two
sides of the parking lot meet in a right angle? Select all that apply.
® Find the slopes of AC and CB. If the product of the slopes is -1, then the sides meet in a right angle.
B Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
© Find the slopes of CB and AB. If the slope of AB is the opposite of the slope of AC, then the sides meet in
a right angle.
Find AB, BC, and AC. If AB + BC = AC, then the sides meet in a right angle.
Find AB, BC, and AC. IfAB2+ BC = AC?, then the sides meet in a right angle.
Answer:
The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
Step-by-step explanation:
From Analytical Geometry, two lines are perpendicular to each other if and only if [tex]m_{1}\cdot m_{2} = -1[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of each line, respectively. According to this, the following expression must be observed:
[tex]m_{AB} \cdot m_{BC} = -1[/tex] (1)
Each slope can be determine by definition of the slope of a Secant Line:
[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
[tex]m_{BC} = \frac{y_{C}-y_{B}}{x_{C}-x_{B}}[/tex] (3)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}[/tex], [tex]y_{B}[/tex], [tex]y_{C}[/tex] - y-Coordinates of points A, B and C.
If we know that [tex]x_{A} = 0[/tex], [tex]y_{A} = 0[/tex], [tex]x_{B} = 50[/tex], [tex]y_{B} = 0[/tex], [tex]x_{C} = 18[/tex] and [tex]y_{C} = 24[/tex], then the relationship between slopes is:
[tex]m_{AB} = \frac{0-0}{50-0}[/tex]
[tex]m_{AB} = 0[/tex]
[tex]m_{BC} = \frac{24-0}{18-50}[/tex]
[tex]m_{BC} = -\frac{3}{4}[/tex]
[tex]m_{AB}\cdot m_{BC} = 0\cdot \left(-\frac{3}{4} \right)[/tex]
[tex]m_{AB}\cdot m_{BC} = 0[/tex]
Which means that both line segments are not perpendicular to each other.
In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.
The point where the graphs of two equations intersect has y-coordinate 2. One equation is y=−3x+5 . Complete the other equation in the form y=mx+b if its graph has a slope of 1.
Answer:
y = x + 1
Step-by-step explanation:
y = -3x + 5
Let y = 2
2 = -3x +5
-3 = -3x
x = 1
(1, 2)
y = mx + b
y = 1x + b
2 = 1 + b
b = 1
Therefor, the other one is, y = x + 1
Now solve: Alice wants to wrap a gift box of length 8 inch, height 6 inch,
and width 4 inch. How much wrapping paper does Alice need to buy? (Type
answer only- no units)
Answer:
208 square inches
Step-by-step explanation:
2(8 X 4) + 2(6 X 4) + 2(8 X 6)
64 + 48 + 96 = 208 square inches
Which equation best represents the relationship between x and y in the graph?
Answer:
Y=1/2x+2
Step-by-step explanation:
The 2 is crossing the y-axis not the x so it crosses out the first two equations and the third one wouldn't work because -4 is through the x-axis meaning it can't be b.
1/1
Proportion
ains 12 marbles. The marbles are either red or blue. If th
1: 2, how many of each colour are there in the bag?
help with number 2 pleasee :(
Answer:
y+4=x
Step-by-step explanation:
desmos. com graphing calculator helps with things like this
PLZ HELP PLZ HELP PLZ HELP PLZ HELP
HELP NOWWWWW PLZZZ SIMPLIFY IT I did it and it's not 2.4
Answer:
4Step-by-step explanation:
You just need to calculate, how many times does '5' enter in '20'.
It can enter 4 times because:
-5x4= -20
or
-20÷-5=4
Hope it helped! :D
Answer:
4
Step-by-step explanation:
can i get brainliest
⚠️⚠️How do you solve a dilation?⚠️⚠️
I missed the day it was taught and now I’m confused
Here’s a math problem you can use as an example in the image above
also just in case: I know I can ask my teacher for help and they kinda did but I’m still lost
Which of the following graphs could represent a 6th-degree polynomial function, with 3 distinct zeros, 1 zero with a multiplicity of 3, and a negative leading coefficient?
Answer:
a=1
b=5
c=1
d=3
1+5+1+3 = 10
PLZZZ HELP ITS DUE VERY SOON!
Write a function to represent each series of transformations:
• rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
• reflection across the y-axis, then a translation a units to the right and b units up
• translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Answer:
Step-by-step explanation:
For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.
OR
1. We know that, 'Translation shifts the figure in any direction'.
As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).
Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.
2 and 3. We know that, ' Reflection flips the image over a line'.
As the function g(x) is reflected over y-axis, the new form of the function is g(-x).
As the function h(x) is reflected over x-axis, the new form of the function is -h(x).
4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.
Let us assume the function to be a point (x,y).
As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R
90
(x,y) = ( -y,x ).
As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R
180
(x,y) = ( -x,-y ).
As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R
270
(x,
The radius of a circle is 16 feet. What is the circle's area?
Use 3.14 for .
square feet
Answer:
803.84 feet squared
Step-by-step explanation:
A=pi*r^2
16^2=256
256*pi=803.84
Help !! Solve for all values of x in simplest form. Its in the picture!!☝☝☝
Given a function described as equation y = 3x + 4, what is y when x is 1, 2, and 3?
Answer:
x=1 y= 7
x=2 y= 10
x=3 y= 13
Step-by-step explanation:
y=3x+4
y=3(1)+4
=7
y=3(2)+4
=-10
y=3(3)+4
=13
Sofia misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 9?
Answer:
90
Step-by-step explanation:
0.1x=9
x=90
Answer:
90 free throws
Step-by-step explanation:
She would have attempted 90 free throws because since 9 is 10%, and 10x10 is 100, then you would just multiply 9x10.
Question 5
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20
respectively
Given that Davina gets 48 sweets, how many sweets did Nikhil get?
sweets
Solve the following inequality algebraically.
[tex] |x - 9 | \geqslant 4[/tex]