Answer:
m ∠ A = 139° ; m ∠ B = 41°
Step-by-step explanation:
Supplementary angles sum = 180°
m ∠A + m ∠ B = 180°
(7x - 15) + (2x - 3) = 180°
9x - 18 = 180°
9x = 180 + 18
9x = 198°
x = 22
m ∠A = 7x - 15 = (7·22) - 15 = 154 - 15 = 139°
m ∠ B = 2x - 3 = (2·22) - 3 = 44 - 3 = 41°
Check: m ∠ A + m ∠ B = 180°
139° + 41° = 180
Estimate the sum of 462+526+856
Answer: 1844 because you just simply add 462+526+856=1844.
Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.
Where's your question?
x-40+9x-5 simplified
Answer:
your answer would be 10x-45
Step-by-step explanation:
While Dr. Andy operated, he thought of consecutive odd integers. His intensas
such that 4 times the sum of the first and fourth was 12 greater than 3 times them
the second and third. What were the first four integers on Dr. Andy's list?
Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).
The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:
1/3(x)+1/4(x+1)=9.
Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...
1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).
Now the equation is 4/12(x)+3/12(x+1)=9
Multiply both sides by 12 so the denominators are gone:
[12•]4/12x+3/12(x+1)=9•12
4x+3(x+1)=108
Using distribution, it's now 4x+3x+3=108. Continuing on with the math...
7x+3=108
7x=105
x=15
We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?
5+4=9 and 9=9 so YES! The numbers are 15 and 16
I don’t understand this :(
Step-by-step explanation:
Sum of two interior Angles equals to exterior angle . So ,
1 = 65 + 47 = 112°
And , angle sum property of a ∆ is 180° . Hence ,
2 = 180 - 65 - 68 = 47°
don’t get it. someone help. algebra 1!
Answer:
+2
Step-by-step explanation:
F = 1.8 C + 32
(a) Work out the value of F when C = -8
Answer:
17.6°
Step-by-step explanation:
1.8x-8=-14.4
-14.4 + 32= 17.6°C
The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?
Answer:
$2408.
Step-by-step explanation:
28 * 86
1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))
Answer:
[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]
The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
PLEASE LAST ONE HELP!!!
Answer:
JKN and ONK
Step-by-step explanation:
Hope this helps :)
divide four into twelve
Answer:
3
Step-by-step explanation:
Four circles and 12 dots, divide them equally into the circles.
Answer:
3
Step-by-step explanation:
It's kinda like multiplying 3 and 4 then get 12
Please Answer this (mathematics)
Answer:
50.21, 50.12, 50.102,50.021
the last one
Step-by-step explanation:
sorted into descending order
What is 2x + 45?
Plz help, Wanna T.a.l.k?
Answer:
It is linear
Step-by-step explanation:
I don't know if you needed it graphed or what was needed to solve your question
Make y the subject of the formula
w=x^2-2yz
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
y = x^2/2^z - w/2z
Step-by-step explanation:
Answer:
w=x^2-2yz
x^2-w=2yz
x^2-w=y
2z
Step-by-step explanation:
Drag and drop each reason next to the corresponding statement to prove ∠B ≅ ∠C, given point M is the midpoint of BC.
Answer:
1. Given
2. Definition of midpoint
3. Given
4. Reflexive property of congruence
5. SSS
6. CPCTC
Step-by-step explanation:
If 2x +4= 36, what is the value of x?
Answer:
2x + 4 = 362x = 36-42x = 32x = 32/2x = 16Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? %
Answer: Percentage of all the people in the company are under the age of 25=x
Step-by-step explanation:
We have to use the weighted average.
x=(Σwi * vi )/Σ wi
w₁=3
w₂=2
v₁=40%
v₂=10%
x=[3(40%)+2(25%)] / (3+2)=34%
Solution: 34% of all people in the company are under the age of 25.
Find the length of the third side. If necessary, round to the nearest tenth.
Rearrange to make x the subject
4(x-3) =y
pls help
Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The length of the missing side is 7.5
Step-by-step explanation:
let the missing side be x
[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]
98.01 = 42.25 + x^2
x^2 = 98.01 - 42.25
x^2 = 55.76
[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]
x = 7.5 or 7.47
8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?
Please help make sure to show your steps too, please
Answer:
Slope = -2
Step-by-step explanation:
Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:
Let (x₁, y₁) = (-4, 10)
(x₂, y₂) = (0, 2)
The formula for solving for the slope of the line is:
m = (y₂ - y₁)/(x₂ - x₁)
where m represents the slope of the line.
Substitute the given values into the formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]
[tex]m = \frac{-8}{0 + 4 }[/tex]
m = -8/4
m = -2
Therefore, the slope of the line is -2.
1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?
Answer:
a.divide the amount by the percentage.
$2700× 25%
Ans:$675
subtract the selling price from the profit.
$2700 - $675
Ans:$2025
b.divide the 15% from selling price.
$2700 × 15%
Ans: 405
deduct the selling from from the discount given.
$2700 - $405
Ans: $2,295
what’s 4x+9-x-3x=9 ?
Answer:
x=0
Step-by-step explanation:
4x+9-x-3x=9
4x-x-3x=9-9
0x=0
x=0
please answer a and b fast
15 marks
Answer:
a) $670
b) $6600
Step-by-step explanation:
a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price
0.906P = 607, P is the price of 1 kg of silver on 1st January 2015
P = 607/0.906 = 669.9779249 ≈ $670
b) The decrease of the price was $1320, which is 20%.
0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010
-0.20P = 1320
P = 1320/(-0.20) = $6600
what pattern do you noticed for each column
Answer:
If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.
For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.
This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.
Step-by-step explanation:
Hope that makes sense :)
If you still don't get it, please let me know.
May I please receive help?
Answer:
74 meters
Step-by-step explanation:
A system of equations is shown. x = 10 3x + 5y = 20
Answer:
(10, - 2 )
Step-by-step explanation:
x = 10 → (1)
3x + 5y = 20 → (2)
Substitute x = 10 into (2)
3(10) + 5y = 20
30 + 5y = 20 ( subtract 30 from both sides )
5y = - 10 ( divide both sides by 5 )
y = - 2
solution is (10, - 2 )