Answer:
22.
Step-by-step explanation:
22-7=15.
Greg burned 200 calories exercising, and then he drank a 200-calorie protein shake. which expression uses an additive inverse and represents his net calorie intake?
The expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.
What is additive inverse?In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.
Now it is given that,
Calories burned by Greg = -200
Calorie taken from protien shake = + 200
Thus, Net calorie intake = Calorie taken + Calories burned
⇒ Net calorie intake = 200 + (-200) = 0
Thus, the expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.
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Solve for x.
z=9(x+2)
Answer:
Step-by-step explanation:
z=9(x+2)
z=9x+18
Subtract 18 from both sides
z-18=9x+18-18
z-18=9x
Divide both sides by 9
z-18/9 =x
Therefore
X= z-18/9
The area of a certain desert (Desert 1) is four times the area of another desert (Desert 2). If the sum of their areas is 15,000,000 square miles,
find the area of each desert.
Question content area bottom
Part 1
What is the area of Desert 1?
What is the area of Desert 2?
Answer:
Area of Desert 1 = 12,000,000 Area of Desert 2 = 3,000,000
Step-by-step explanation:
x+y=15,000,000
x=4y
4y+y=15,000,000
5y=15,000,000
y=3,000,000
Solve each question for the variable.
7. p+12,982= 25,000 (1 point)
Op = 12,010
Op=12,018
Op = 12,028
Solve each question for the variable.
8. 912+e=1,201 (1 point)
Oe=389
Oe=299
Oe=289
Solve each question for the variable.
3. 918.2 + v= 1,920.8 (1 point)
Ov=1,000.6
Ov=1,002.6
Ov= 1,001.6
Melissa buys 2 1/2 pounds of salmon an 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish
Answer:
$16.60
Step-by-step explanation:
Setup the formula to calculate the cost of each pound of salmon and swordfish for the 2.5 pounds of salmon (x) and 1.25 pounds of swordfish (y) which is equal to $31.25
2.5x + 1.25y = 31.25
Setup a formula to figure out how much a single pound of swordfish (y) is. The problem states it cost $0.20 less than a pound of salmon (x).
y = x - .20
Plug the y = x - .20 into the first equation.
2.5x + 1.25(x - .20) = 31.25
Distribute the 1.25 by multiplying it with x and -.20
2.5x + 1.25x - .25 = 31.25
Combine like terms, x on the left side
3.75x - .25 = 31.25
Add .25 to both sides to get x on one side
3.75x = 31.50
Divide both sides by 3.75 to get x by itself
x = 8.4
So, each pound of salmon, x, cost $8.40 per pound
Use y = x - .20 and plug in x = 8.4 to figure out how much a pound of swordfish cost.
y = 8.4 - .20
So, a pound of swordfish cost $8.20 per pound
The question wants to know the combined cost, z, of 1 pound of salmon, x, and 1 pound of swordfish, y.
x + y = z
8.4 + 8.2 = 16.6
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
You sold your car for $1,000 which had cost $1,450. How much did you lose expressed as a %?.
Answer:
45%
Step-by-step explanation:
1,450 - 1,000 = 450
the 450 becomes 0.45
to make 0.45 a percent, we multiply it by 100
0.45 x 100 = 45
45%
this is so in the morning & i need these answers!! :\
Taynia makes a quilt using fabric squares.
The side length of each fabric square is
the square root of the area. The area of
each fabric square is 40 square inches.
Which could be the approximate side
length of a square on the quilt?
The approximate side length of a square on the quilt = 6.32 inch
In this question,
Taynia makes a quilt using fabric squares.
We have been given the side length of each fabric square is the square root of the area.
Here, the area of each fabric square is 40 square inches.
We need to find the approximate side length of a square on the quilt.
Let A be the area.
A = 40 square inches
To find the side length, we need to take the square root of 40.
Let s be the side length.
⇒ s = √A
⇒ s = √40
⇒ s = 6.32 inch
Therefore, the approximate side length of a square on the quilt = 6.32 inch
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Dorothy earns a regular hourly rate of $15.25 and earns double time and a half for weekend work. Dorothy worked her normal 40 hours and 8 weekend hours.
Answer:$976
Step-by-step explanation:
In a physical bus topology, both ends of the medium must be terminated in order to prevent what?
In a physical bus topology, both ends of the medium must be terminated in order to prevent "single bounce."
What is bus topology?Bus topology, also recognized as line topology, is a network topology in which all network devices are connected by a single RJ-45 network cable and coaxial cable.
The bus, backbone, or trunk is the single cable through which all data is transmitted among devices.
Some pros of bus topology are-
Installing and adding or removing devices is simple and inexpensive.It does not necessitate that much cabling as other topologies.If a device fails, the other devices are unaffected.Works well for small networks.Some cons of bus topology are-
If the connection fails, the network as a whole will fail or split.Problems are difficult to troubleshoot.Slow and unsuitable for larger networksTerminators are required at both ends of the line to avoid bouncing signals from causing interference.Increasing the number of devices and network traffic reduces the overall network performance.To know more about bus topology, here
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Select the graph of the solution. Click until the correct graph appears.
|x| < 4
Answer:
Image 2: a segment from -4 to 4 with the endpoints excluded (with empty circles).
Step-by-step explanation:
|x| < 4 means "the distance from x to 0 is less than 4". That means that any number bigger than -4 and smaller than 4 matches the inequality from the question.
Side note: Please start analyzing the absolute values as "distance from 0" and you'll be able to solve those questions yourself with less effort.
Solve the equation v² = 36. What’s the value of v?
Answer:
6
Step-by-step explanation:
6 x 6 = 36
Two points on the y axis that are 25 units from (-24,3)
The two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).
We are given a point:
( - 24 , 3 )
We need to find a point on the y - axis, that is 25 units away from the axis.
The coordinate of the point will be:
(0, y)
So, by using the distance formula, we get that:
D = √ ( y₂ - y₁)² + ( x₂ - x₁)²
25 = √ ( y + 3)² + (0 + 24)²
625 = y² + 9 - 6 y + 576
625 = y² - 6 y + 585
y² - 6 y - 40 = 0
y² - 10 y + 4 y - 40 = 0
y ( y - 10 ) + 4 ( y - 10 ) = 0
(y - 10)(y + 4) = 0
y = - 4 or y = 10.
So, the two points will be:
(0, 10) and (0, - 4)
Therefore, we get that, the two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).
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What is the solution set for the equation l3x + 2 = 5?
Answer:--------X=3/13---------
Step-by-step explanation:
Sara divided up her dessert among her family. She gave her daughter 1/8 of the dessert, her son 1/4 of the
dessert, and her husband 3/8 of the dessert. How much of the dessert was left for Sara?
Answer:
¹/₄
Step-by-step explanation:
Given:
Daughter = 1/8 of the dessert.Son = 1/4 of the dessert.Husband = 3/8 of the dessert.The dessert is the "whole", i.e. equal to 1.
To find how much of the dessert was left, subtract all the given portions from 1:
[tex]\begin{aligned}\textsf{Dessert left for Sara} & = 1-\dfrac{1}{8}-\dfrac{1}{4}-\dfrac{3}{8}\\\\& = \dfrac{8}{8}-\dfrac{1}{8}-\dfrac{2}{8}-\dfrac{3}{8}\\\\& = \dfrac{8-1-2-3}{8}\\\\& = \dfrac{2}{8}\\\\& = \dfrac{1}{4}\end{aligned}[/tex]
Therefore, ¹/₄ of the dessert was left for Sara.
Answer:
2/8 (or) 1/4
Step-by-step explanation:
The amount of desert she served is,
→ 1/8 + 1/4 + 3/8
→ (1 + 2 + 3)/8
→ 6/8
Then amount of desert left for Sara is,
→ 1/1 - 6/8
→ (8 - 6)/8
→ 2/8 (or) 1/4
Hence, she was left with 2/8 of desert.
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.
Answer:-4
Step-by-step explanation:
2(-6)2
2 x -6 x 2=-24
5 x 2 x 2=20
-24+20=-4
A line has no thickness, but it does have direction and ___ length.
(Fill in the blank)
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
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Enter the numerator and denominator of the fraction in simplest form that is equal to the decimal number shown.
0.8 repeating
Answer:
4/5
Step-by-step explanation:
8/10
=4/5
Answer:
8/9!!
all credit goes entirely to the person in comments for giving us all the right answer.
Add using the number line.
7+(-10)
Drag and drop the word SUM to the correct value on the number line.
-18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 14 16 18
SUM
7+(-1) = -3
Steps of adding 7+(-10) using number line are as following:
1) Draw a number line by ranging from -10 to +10.
2) Point out 7 on the number line.
3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.
4) The number we reach -3 on left side would be our final sum.
5) From the number we can clearly see that moving 10 number on left to 7, we get -3.
Note: We are moving left because of negative sign in front of 10.
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Jose earned 45 points in a video game. He lost 40 points, earned 81 points, then lost 35 more points. Enter and evaluate an expression to find his final score in the video game.
if p=(3,1) and Q=(-3,-7), find the equation of the circle that has segment PQ as the diameter (x-{?})^2+(y-{?})^2={?}
Answer:
x² + (y + 3)² = 25
Step-by-step explanation:
the centre (C) of the circle is at the midpoint of the diameter.
using the midpoint formula
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )
C = ( [tex]\frac{3-3}{2}[/tex] , [tex]\frac{1-7}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex] , [tex]\frac{-6}{2}[/tex] ) = (0, - 3 )
the radius r is the distance from the centre to either P or Q
using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )
r = [tex]\sqrt{(3-0)^2+(1-(-3)^2}[/tex]
= [tex]\sqrt{3^2+(1+3)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (0, - 3 ) and r = 5 , then
(x - 0 )² + (y - (- 3) )² = 5² , that is
x² + (y + 3)² = 25
Why it is very important to follow the steps in solving an equation with 2 or more operations involve?
is the point with coordintaes (-2,-9) on the line whose equation is y=4x - 1?
Answer:
Yes
Step-by-step explanation:
If you have a graphing calculator or something similar, that could really help because all you would have to do is plug in the equation and look up the table and it would show that coordinate in there.
Does the ordered pair (3, 5) make the inequality x−3>2y true or false?
Answer:
Step-by-step explanation:
first let : x = 3 and y = 5
so x-3 means 3-3 = 0
and 2y means 2 * 3 = 6
therfore x-3 > 2y means 0 > 6, false
The base of a triangle is 3 inches more than 2 times the height. If the area of the triangle is 76 square inches, find
the base and height.
Height is h = 8 and base = 19 inch in triangle .
What Does a Triangle's Area Mean?
The space bounded by a triangle's three sides is known as the area of a triangle. Depending on the type of triangle, it is computed using a variety of methods and expressed in square units like cm2, inches2, and so forth.Area of a triangle whose base is b and height is h is =1/2 * b * h
Let the height of given triangle be h inch and as base of a triangle is 3 inch greater than the height, base is ( 2h + 3)
b = 2h + 3
Hence, its area is 1/2 × h × (2h + 3 ) = 76 inch²
So, 1/2 × h × (2h + 3) = 76
2h² + 3h = 76 × 2
2h² + 3h - 152 = 0
2h² + 19h - 16h - 152 = 0
h( 2h + 19 ) -8 (2h + 19) = 0
(h-8) ( 2h - 19)
now h = 8 and h = -19/2 but height of triangle cannot be negative.
Hence height is h = 8 and base = 2 * 8 + 3 = 19 inch
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I would like the answers to one and two bit the bottom ones
The numeric values for the functions are given as follows:
6 - a) f(-2) = -13.
6 - b) g(4) = 11.
How to find the numeric value of a function?To find the numeric value of a function, we replace each instance of the variable by the desired value.
At item 6a, the function is given by:
f(x) = 5x - 3.
The numeric value at x = -2 is:
f(-2) = 5(-2) - 3 = -10 -3 = -13.
Hence f(-2) = -13.
At item 6b, the function is given by:
g(x) = 0.5x² + 3.
The numeric value at x = 4 is:
g(4) = 0.5(4)² + 3 = 8 + 3 = 11.
Hence g(4) = 11.
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(PLEASE HELP!) Annie wishes to build a set of five stairs according to the plan below.
(a) How high is each step?
(b) How wide is each step, correct to 2 decimal places?
Answer:
a)
sin30=high of steps/175
sin30=1/2
so
high of steps= 175/2
high of steps=87.5cm
b)
cos30=wide/175
cos30=3^1/2÷2
wide=175*3^1/2÷2
3^1/2=1.73
so
wide=175*1.73/2
wide=151.37
Complete the table (again)
Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 26, 29, 27, 28, 29, 27, 27, 53, 25, 29
The mean of the data is 30 and the median of the data is 27.5.
What are the mean and median?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.
The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.
Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.
25,26,27,27,27,28,29,29,29,53
Mean = Sum of all the numbers / Total numbers
Mean = (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10
Mean = 300 / 10
Mean = 30
Median = ( 27 + 28 ) / 2 = 27.5
Therefore, the mean of the data is 30 and the median of the data is 27.5.
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What’s the GCF of 42, 70, 84
Answer: 14
Step-by-step explanation:
First. take the prime factorization of all three numbers:
42: 21*2 ==> 3*7*2
70: 35*2 ==> 5*7*2
84: 42*2 ==> 21*2*2 ==> 3*7*2*2
Notice any common factors? That's the GCF.
GCF: 7*2=14
GCF: 14
Answer:
14
Step-by-step explanation:
The greatest number that divides 42, 70, and 84 exactly is their greatest common factor.
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42
Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70
Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The GCF of 42, 70, and 84 is 14.
The greatest number that divides 42, 70, and 84 is 14.
What is GCF?
The biggest positive integer that divides evenly into all the numbers with no remainder is the greatest common factor (GCF, GCD, or HCF) of a set of whole numbers. For instance, the GCF is equal to 6 for the set of numbers 18, 30, and 42.
How do I get the GCF of something?
The greatest common factor among numbers can be discovered in a number of ways.
Factoring:
List each number's factors in order to calculate the GCF by factoring. The factors that evenly divide into the number with no remainder are known as whole numbers. The GCF is the largest number that appears on each list of common factors for each number.
Example: Find the GCF of 18 and 27
The factors of 18 are 1, 2, 3, 6, 9, 18.
The factors of 27 are 1, 3, 9, 27.
The common factors of 18 and 27 are 1, 3 and 9.
The greatest common factor of 18 and 27 is 9.
Prime Factorization:
List all of each number's prime factors to determine the GCF by prime factorization. List the prime factors that each of the original numbers has in common. Include the most instances of each prime factor that each original number has in common. To find the GCF, multiply these by one another.
You'll observe that the prime factorization approach may be simpler than straight factoring as numbers grow larger.
Example: Find the GCF (18, 27)
The prime factorization of 18 is 2 x 3 x 3 = 18.
The prime factorization of 27 is 3 x 3 x 3 = 27.
The occurrences of common prime factors of 18 and 27 are 3 and 3.
So the greatest common factor of 18 and 27 is 3 x 3 = 9.
There is another method but it focuses on more complex numbers.
Hope this helps!
