Answer:
5
Step-by-step explanation:
if x<0 => |x| = -x
So |-5|= -(-5) = 5
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:
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]
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:
As a puppy, Cricket weighed 2 1/4 pounds. At her 1-year check-up with the vet, Cricket weighed 9.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number.
A. 6.25
B. 12.75
C. 11.75
D. 7.25
Answer:
D. 7.25
Step-by-step explanation:
9.50-2.25=x
9.50-2.25= 7.25
The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data provide by the question,
Initial weight of puppy = 9/4 = 2.25 pounds.
After 1-year, weight = 9.5 pounds.
Weight gained by the puppy = 9.5 - 2.25 = 7.25
Therefore, weight gained by the puppy is 7.25 Pounds.
To know more about arithmetic operations:
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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
The table shows the portions of copper
Ring
Portion that is Copper
Red gold
25%
Pink gold
0.2
Rose gold
9
40
Which ring has the highest portion of copper?
Answer:
Red Gold
Step-by-step explanation:
Assuming you mean 9/40
Red gold = 25%
Pink Gold = .2 which is 20%
Rose gold is [tex]\frac{9}{40}[/tex] = .225 which is 22.5%
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?
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
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
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
how many times can henry expect to roll a 4 if he rolls a dice 120 times
Answer: Varies
Step-by-step explanation:
There's a 1 / 6 chance each time.
PLEASE LAST ONE HELP!!!
Answer:
JKN and ONK
Step-by-step explanation:
Hope this helps :)
Estimate the sum of 462+526+856
Answer: 1844 because you just simply add 462+526+856=1844.
[(1 1/4 - 3/4) × (-2/3) exponent 3] ÷4
plz help lol
Step-by-step explanation:
(5/4_3/4)×(_2/27)÷_4
5_3/4
1/4×_2/27÷_4
1/54÷4
=0.004629
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?
x-40+9x-5 simplified
Answer:
your answer would be 10x-45
Step-by-step explanation:
y = 0.75x - 0.5 LINEAR EQUATION
please don't send a link, I will report.
Answer:
Step-by-step explanation:
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°
Find the length of the third side. If necessary, round to the nearest tenth.
May I please receive help?
Answer:
74 meters
Step-by-step explanation:
Complete the statements about the linear equation 10x + 4y =
-20. Enter the intercepts as Coordinate points.
The x-intercept is
choose your answer...
and the y-intercept is
choose your answer.…
Answer:
x-intercept: (-2, 0)
y-intercept: (0, -5)
Step-by-step explanation:
Note:Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).
Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:
X-intercept:The x-intercept, in the form (a, 0), is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.
In order to find the x-intercept, set y = 0 and solve for the value of x:
10x + 4y = -20
10x + 4(0) = -20
10x + 0 = -20
10x = -20
Divide both sides by 10 to solve for x:
[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]
x = -2
Hence, the x-intercept is (-2, 0).
Y-intercept:The y-intercept, in the form (0, b ), is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.
In order to find the y-intercept, set x = 0 and solve for the value of y:
10x + 4y = -20
10(0) + 4y = -20
0 + 4y = -20
Divide both sides by 4 to solve for y:
[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]
y = -5
Hence, the y-intercept is (0, -5).
write the equation in general form
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
thank you
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.
Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?
Step-by-step explanation:
That's the answer! hope it helped!
Someone returned a pair of sunglasses for a refund of $14.75.
What number represents the effect on the store's earnings?
Answer:
-14.75
Step-by-step explanation:
i did it on iready & got it wrong .
Answer:
-14.75
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
Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?
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
(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
help!! show all steps!
Find SURFACE AREA
Answer:
132 cm²
Step-by-step explanation:
The area of the two triangular ends is ...
A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles
The area of the three rectangular faces is ...
A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)
= (4 cm +3 cm +5 cm)(10 cm) = 120 cm²
Then the total surface area is ...
triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²
