Remember the Rules of Operations (PEDMAS):
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
So with the expression 3 + 4 x 3 - 3 x 5 we know to multiply first. So let's multiply 4 x 3 and -3 x 5 first:
3 + 4 x 3 - 3 x 5
= 3 + 12 - 15
Then let's work out the rest of the expression!
3 + 12 - 15
= 15 - 15
= 0
Therefore we can determine that 3 + 4 x 3 - 3 x 5 = 0
I hope this helped! :)
The area of abcd
is 10cm^2 show that x^2 +6x =1
Answers
Maths
GCSE
Article
The area of square ABCD is 10 cm^2 . Show that x^2 + 6x = 1 (requires diagram which I will draw on the whiteboard).
The area of a square is the length of one side squared (multiplied by itself), so for a square with side length 3, the area will be 32 or 3 x 3, which = 9. For a square with side length x, the area will be x2 .Given that the length of one side is 3 + x, the area will be (3+x)2 This can be written as (3+x) * (3+x), and to expand these brackets we will use the 'crab claw' method. We will take the first value in the first bracket, and times it by both values of the second bracket. So we will multiply 3 by 3 which is 9, and then 3 by x which is 3x. We will then take the second value in the first bracket and multiply is by both values in the second bracket. So we will multiply x by 3 which is 3x, and then x by x, which is x2. Now we will add together all the the values we have just found: x2 + 3x + 3x + 9. Because the only like terms are 3x and 3x, and 3x + 3x = 6x, the final equation we form after expanding the brackets will be x2 + 6x + 9.. Given that the area of the square is given as 10cm2, 10 must be equivalent to x2 + 6x + 9, so we form the equation x2 + 6x + 9 = 10. When balancing equations, you must do whatever you do on one side to the other side. Therefore if we take 9 away from the left hand side, we must take 9 away from the right hand side (10 - 9 = 1), leaving us with x2 + 6x = 1, and completing the question.
PLEASE HELP ME Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)
o 45xy-220
o 15x-30y-220
o 15x+30y-220
o 15x+30y-64
Answer:
15x+30y−220
Step-by-step explanation:
hope this helps
25 points
Which of the following would be the correct similarity statement for the
figures shown?
Answer:
GJIH - WXYZ I guess I ryt
Natalie tried to evaluate the expression \left( 4^{-3} \cdot 2^{-3} \right)^{0}(4 −3 ⋅2 −3 ) 0 left parenthesis, 4, start superscript, minus, 3, end superscript, dot, 2, start superscript, minus, 3, end superscript, right parenthesis, start superscript, 0, end superscript. \begin{aligned} &\phantom{=}\left( 4^{-3} \cdot 2^{-3} \right)^{0} \\\\ &=\left( 8^{-3}\right)^{0} &\text{Step } 1 \\\\ &= 8^{0} &\text{Step } 2 \\\\ &=0&\text{Step } 3 \end{aligned} =(4 −3 ⋅2 −3 ) 0 =(8 −3 ) 0 =8 0 =0 Step 1 Step 2 Step 3 Did Natalie make a mistake? If so, in which step?
Given:
The expression is
[tex]\left( 4^{-3} \cdot 2^{-3} \right)^{0} [/tex]
To find:
The Natalie's mistake.
Solution:
We have,
[tex]\left( 4^{-3} \cdot 2^{-3} \right)^{0} [/tex]
Using properties of exponents, we get
[tex]=\left( (4\times 2)^{-3} \right)^{0} [/tex] [tex][\because a^mb^m=(ab)^m][/tex]
[tex]=\left( (8)^{-3} \right)^{0}[/tex]
[tex]=\left( 8 \right)^{0}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]=1[/tex] [tex][\because a^0=1,\text{ where, a is any non zero number}][/tex]
Therefore, Natalie make a mistake in Step 3. She write [tex]8^0=0[/tex] instead of [tex]8^0=1[/tex].
Answer:
d
Step-by-step explanation:
HELP ASAP PLEASE WILL GIVE BRAINLIEST
pls give explanation too
graph f(x) = |x+5|
it cost Evan $17.70 to send 177 text messages how many text messages did he send if he spent $19.10
Last month the ending balance on Maryanne’s Mastercard was $1,789, the average daily balance was $755, and the monthly periodic rate is 1.85%. Her finance charge can be calculated by multiplying the ending balance times the monthly periodic rate. So the finance charge is $1,789 ´ 0.0185 = $33.10.
Answer:
False
Step-by-step explanation:
Based on the information given we can calculate the finance charge of Maryanne’s by simply multiplying her average daily balance which is the amount of $755 times her monthly periodic rate which is 0.0185.
Hence, Maryanne's finance charge is calculated by using this formula
Finance charge=Average daily balance*Monthly periodic rate
Let plug in the formula
Finance charge= $755* 0.0185
Finance charge= $13.97
Therefore Maryanne's finance charge will be $13.97
The ideal gas law takes the form PV=NRT where P represents pressure, V represents volume, N represents number of moles of gas, R represents gas constant, and T represents temperature in kelvins.
A piece of jewelry is located 614 how many feet away from the jewelry ann
Answer:
Dublin Village Jewelry's is a family owned and operated full service fine jewelry store located in the heart of Dublin, Ohio. We are passionate about what we do and pride ourselves on providing our clients with a fun, pressure free shopping experience. We carry beautiful, ethically sourced, high quality bridal and fine jewelry as well as luxury timepieces, all at excellent values.
Step-by-step explanation:
Make sure you press this to brainliest
Identify the following equations as linear,
quadratic or other.
x + 3x2 = 0
can someone please help me with this math problem please and thank you
Answer:
67°
Step-by-step explanation:
AI/AK=AH/AJ=HI/JK
angle HJK= angle AHI
= 67°
angle x= 180°-46°-67°
=67°
- How will the magnetic field intensity at the
centre of a circular coil carrying-current
change, if the current through the coil is
doubled and radius is halved?
(HOTS)
find the area and perimeter
Answer: P=3 A=7 I think.
Step-by-step explanation:
The perimeter is basically how many sides are there so on this shape there is 3 if u count it and the area is how many squares or whatever is inside the shape so the 11 and 23 stand for the squares on those sides where the numbers are so if u add 11+23=34 so on the last side it only shows u 1 square and has no number so now u have to make the rest of those square till u cant and on the end of it it cant be a square bc its a triangle so it does not have a square like type of shape to where u can make it even. I hope this helps have a nice day or night:)
Pllllsssss it's due today
Answer:
Step-by-step explanation:
For every 4 pounds of sugar you get 20 cups of coffee. 4:20
For every packet of seeds you get 10 plants 1:10
why must the vertex of an isosceles triangle be an even number
Answer:
Step-by-step explanation:
The vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the .
The Chambers family has driven 603 miles at a constant speed of 67mph. How many hours have they been driving. Use d = rt to solve.
Write an equation for the situation that will represent the distance for any time.
Answer:
d = 67t
and
eqn d = 67t represents d over time.
Step-by-step explanation:
part one : find the hours they have been driving
d = 603 miles driven
r = 67 mph
t = ?
r = d/t
rt = d
t = d/r
t = 603/67
t = 9
unit = in hours
they have been driving for 9 hours.
part 2 : find an equation for the situation that represents distance for any time
t is the independent variable
d will represent the dependent variable
let r represent the slope
d = rt
d = 67t
therefore the eqn d = 67t represents d over time.
Parallelogram ABCD is shown with diagonal AC drawn. (Remember, opposite sides of a parallelogram are PARALLEL). Which proves that ZDCA is 12 to ZBAC? (THINK about what
kind of angles they are when two lines are parallel - DC is parallel to AB)
Answer:
If two parallel lines are cut by a transversal,then alternate interior angles are congruent.
Step-by-step explanation:
What would i get if i did this equation-3z-2/2<5
help!! i dont understand this thanks if you helped :)
Answer:
28
Step-by-step explanation:
The function h(x) = g(x + 2) - 1, complete the table for h(x).
g(x + 2) - 1
h(x)
-2
-1
0
(0+2) - 1
1
1
2.
Part A: What is the value for h(2)?
Select a Value
Answer:
x g(x + 2)-1 h(x)
-2 g(-2+2)-1 -1
-1 g(-1+2)-1 0
0 g(0+2)-1 1
1 g(1+2)-1 2
2 g(2+2)-1 3
Part A: 3
Part B: -1
Step-by-step explanation:
When you have questions like these all you have to do is plug in and solve.
For example I will do h(2) & h(-2) for reference.
h(2):
[tex](2+2)-1\\4-1\\3[/tex]
h(-2):
[tex](-2+2)-1\\0-1\\-1[/tex]
PLS EXPLAIN WHY .. and how steps
Answer:
[tex]\lim_{x \to 2^+} f(x)=0[/tex]
Option C is correct option.
Step-by-step explanation:
We are given:
[tex]f(x)=\begin{cases} x^3 , x<2 , \ then \ \lim_{x \to 2^+} f(x)= \\ x-2, x>2\\\end{cases}\\[/tex]
Since the limit given is x-> 2⁺ so, values greater than 2 will be considered. So, we will consider f(x)=x-2 x>2
Putting x=2
f(x)=x-2
f(2)=2-2
f(2)=0
So, [tex]\lim_{x \to 2^+} f(x)=0[/tex]
Option C is correct option.
Find the area of the shape below
Answer: where is the pdf
Step-by-step explanation:
Answer:
Circle shape HOOOOOOYAAAAAHHHH
Step-by-step explanation:
find the slope of the line between (1,5) and (3,9)
Answer:
Slope is 2.
Step-by-step explanation:
We can use the points in either order and you will still get the same slope. I usually solve in order that is given. So the first coordinates I label (x1,y1) and the second is (x2,y2).
Slope=m=(y2-y1)/(x2-x1)
m=(9-5)/(3-1)=4/2=2
Answer:
slope = 2
Step-by-step explanation:
use y2-y1 over x2-x1
pls help math problem
6.333(repeating) as a decimal and 6 4/9 as a fraction
help pls it’s due soon hurry will mark as brainliest if correct
Answer: 3,885.71428571428571 I’m not sure
Step-by-step explanation:
Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x) = 3x where x represents the number of laps she swims.
Given :
Everyday Isabel swims 10-20 laps in a 50 meter pool.
The amount of time she spends swimming is represented by the function f(x) = 3x .
To Find :
The speed of Isabel.
Solution :
Distance travelled in x laps is, D = 50x .
It is given that time taken is, t = 3x .
So, speed of Isabel is given as :
[tex]Speed=\dfrac{Distance}{Time}\\\\Speed = \dfrac{50x}{3x}\\\\Speed = \dfrac{50}{3}=16.67 \ m/s[/tex]
Hence, this is the required solution.
A high school championship football game was attended by 1580 fans. there were 640 were out of state fans at the game. the other fans were local.
Answer:
Step-by-step explanation:
1580-640=940 were local
No. of local fans = 940
What is subtraction?Subtraction is one of the four basic arithmetic operations in mathematics. It represents the operation of removing objects from a collection. The minus sign signifies subtraction −.
Example: There are nine oranges arranged as a stack, out of which four oranges are transferred to a basket, then there will be, 9 – 4 oranges left in the stack, i.e. five oranges.
Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5.
Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers such as negative numbers, fractions, rational & irrational numbers, decimals, functions, matrices and vectors.
Given,
Total fans attended championship = 1580
No. of out of state fans = 640
No of local fans = total fans - no. of out of state fans
= 1580 - 640
No of local fans = 940
Hence, there were 940 local fans who attended football championship.
Learn more about subtraction here:
https://brainly.com/question/2346316
#SPJ2
A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective phones out of every 6000 phones. What is the highest number of defective phones do the companies have in common?
Answer:
10
Step-by-step explanation:
Given that:
Company A:
40 defective out of every 5000
Company B :
30 out of every 6000
To obtain the highest number of defective phones both companies can produce in common :
Factors of :
40 : 2, 4, 5, 8, 10, 20, 40
30 : 2, 3, 5, 6, 10, 15, 30
Hence, highest number of defective phones both companies can produce in common is 10
PLZ HELP ASAP what number should be placed in the box to help complete the division calculation
It should be 18 because after subtracting 55 and 54 you get 1 but then you bring down the 9 so you get 19. 18 can only fit to 19 one time, 18x 1, and you get 18. So you subtract 18 and 19 and get 1 then you bring down the 3 and get 13. Answer=18
How do I find the quotient for 42.6 ÷ 0.07
Answer:
Step-by-step explanation:
42.6 divided by 0.07 is 608.571428
Regular division.
