Answer:
The location of the sum is 2 units before P (left to P)
Step-by-step explanation:
* Lets describe the number line
- A number line is a horizontal straight line with numbers placed at
an equal units
- A number line can be extended infinitely to the left and to the right
- A number line represents both positive and negative integers
- The numbers come on it from left to right
- The negative numbers come on the left of zero and the positive
numbers come on the right of zero
- Ex: -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 part of the numbers on the
number line
- To add numbers on the number line we start from first number of
the addition and if this number is added by a positive number we
go to right , if the number is added by a negative number
we go to left
- Ex: 5 + 3 ⇒ go from 5 to the right 3 units, then your position is at 8
2 + (-3) ⇒ go from 2 to the left 3 units then your position is at -1
* Now lets solve the problem
- The sum of P + (-2)
∵ Your location is P
∵ You will add P by (-2)
- Negative number means you go to the left
∴ Your position will be before P by two units
∴ The location of the sum is 2 units before P (left to P)
The sum of p + (-2) will always be located to the left of p on a number line.
To describe the location of the sum P+(−2) on a number line, you would start at the point represented by
P and then move 2 units to the left.
This is because adding a negative number is equivalent to moving to the left on the number line.
For example, if P is located at the number 5 on the number line, then
P+(−2) would be located at 5−2=3.
So, the sum is 3 units to the left of the point P on the number line.
Based on location of the original figure, in which quadrant Will the figure be after rotating?
Answer:
Step-by-step explanation:
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of
butterflies are shown below. What inference can be made about the butterflies in Louden County from the samples?
14
2009
Meadow Fritillary
Variegated Fritillary
Zebra Swallowtail
Eastern-Tailed Blue
5
7
33
242
Louden County Butterfly Count
2010
Meadow Fritillary 34
Variegated Fritillary 95
Zebra Swallowtail 21
Eastern-Tailed Blue 168
2011
Meadow Fritillary
Variegated Fritillary
Zebra Swallowtail
Eastern-Tailed Blue
10
170
A) All butterfly populations are steadily decreasing.
B)All butterfly populations were larger than usual in 2010.
C)The Eastern-Tailed Blue butterfly is more common than the others.
D)The Meadow Fritillary is equally common as the Variegated Fritillary
As laden country wildlife conservation counts the butterflies each year they have data over 3 years and is based on four types of butterflies.
The option C that is The Eastern-Tailed butterfly is most common than the other. As the unit has data of 2009-011. The eastern blue butterfly is more common than other types. That is 168 populationLearn more about the Wildlife Conservancy counts butterflies each year.
brainly.com/question/15695192.
Answer:
C✔(*/ω＼*)
Step-by-step explanation:
Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way i
which he can cut the wood to create three pieces that can form a triangle?
Answer:
The correct answer is 3ft | 4ft | 4ft
Step-by-step explanation:
Got it correct on edge
The dimensions of the lumber that can be used to build the triangular garden are 3ft, 4 ft and 4ft.
What are the pieces that can be used to build the triangular garden?A triangle is a three-sided polygon with three edges and three vertices. The sum of angles in a triangle is 180 degrees
In order to determine the pieces that can be used to build the triangular garden, the sum of the two sides must be greater than the length of the third side
2 + 2 < 7
1 + 4 < 6
3 + 2 < 6
3 + 4 > 4
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which values are in the solution set of |x| = 3
a.) x < 3
b.) x > 3
c.) x = -3
d.) x = 0
Answer:
c.) x = -3Step-by-step explanation:
[tex]|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\\text{Examples:}\\\\|2|=2\\|-5|=-(-5)=5\\|0|=0\\|-23|=23\\\\=====================\\\\|x|=3\Rightarrow x=-3\ or\ x=3\\\\\text{Check:}\\\\|3|=3\\|-3|=-(-3)=3[/tex]
When an oil tank is 7/12 full, it contains 5 1/4gallons. How many gallons does it hold when full?
Final answer:
To determine the full capacity of the tank, the amount of oil it contains when it is 7/12 full (5 1/4 gallons) is divided by 7/12. After conversion and calculation, the full capacity is found to be 9 gallons.
Explanation:
The student's question asks, "When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full?" To find the full capacity of the tank, we divide the amount of oil when the tank is partially full by the fraction representing how full it is.
First, convert 5 1/4 gallons to an improper fraction: 5 1/4 = 21/4 gallons. Then divide this amount by 7/12 to find the full capacity.
Full capacity = (21/4) ÷ (7/12) = (21/4) × (12/7) = (21×12) / (4×7) = 252 / 28 = 9 gallons.
So, the full capacity of the oil tank is 9 gallons.
michael bought 0.44 pound of slice turkey. what is the value of the digit in the hundredths place?
Answer:
4
Step-by-step explanation:
You have 0.44
0 is in the ones place
4 is in the tenths place (0.4)
And the other 4 is in the hundredths place (0.04)
Answer:
4
Step-by-step explanation:
There is a 4 in the tenths place which is 0.4, and there is a 4 in the hundredths place which is 0.04. The 0.04 is the hundredths place, making 4 your answer
A given line has the equation 10x+2y=−2 . What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y=−5x+12 5x+y=12 y−12=5(x−0) 5x+y=−1
Answer:
y = -5x + 12
Step-by-step explanation:
10x + 2y = −2
-10x - 10x
_______________
2y = -10x - 2
__ ________
2 2
y = -5x - 1, [0, 12] ∥↷
12 = -5[0] + b
0
12 = b
y = -5x + 12
I am joyous to assist you anytime.
Answer: [tex]y=-5x+12[/tex] or [tex]5x+y=12[/tex]
Step-by-step explanation:
The given equation of a line: [tex]10x+2y=-2[/tex]
Rewrite equation of line in slope intercept form (y=mx+c) by subtracting 10 on both sides and then divide both sides by 2, we get
[tex]y=-5x-1[/tex]
Slope of line : m= -5 [Coefficient of x]
Since , the slope of two parallel lines are equal.
Then, slope of line parallel to given line= -5
Equation of a line passing through point (a,b) and has slope p is given by :-
[tex](y-b)=p(x-a)[/tex]
Similarly, Equation of a line passing through point (0,12) and has slope -5 is given by :-
[tex](y-12)=(-5)(x-0)\\\\\Rightarrow\ y-12=-5x\\\\\Rightarrow\ 5x+y=12[/tex]
20 POINTSSS
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one
dealer she would pay $2,350 down and $150 each month. At another dealer, she would pay $2,950 down
and $125 each month. After how many months would the total amount paid be the same for both
dealers? What would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.
Answer:
24 Months; $5950
Step-by-step explanation:
The scale of a map is 1 cm : 79 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer: 316 km
Step-by-step explanation:
If the scale is 1 cm is equal to 79 km, and you have to find the real distance of 4 cm, then you would just multiply 4 times 79:
4 x 79 = 316
giving you your answer of 316 kilometers. Hope this helps!
Answer:
316
Step-by-step explanation:
4x79=316
Val rented a bicycle while she was on
vacation. She paid a flat rental fee of $55.00,
plus $8.50 each day. The total cost was
$123. Write an equation you can use to find
the number of days she rented the bicycle
Answer:
8.50x+55=123
Step-by-step explanation:
x will be the number of days, then the daily fees are 8.50x. Since there is a flat fee of $55, the total fees are 8.50x+55
2x+3x^2(4x-5)
please helpppp asap
Here's my step-by-step explanation:
We're just gonna factor.
If your teacher has spoken of FOIL, then he/she has probably said that it means First Outer Inner Last and that it helps with distributing problems like these.
Right, so let's get to it.
[tex]2x+3x^2 (4x-5)\\2x(4x-5)+3x^2(4x-5)\\2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)[/tex]
Can you see the FOIL method being spread out here? Let's keep going.
[tex]2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)\\8x^2 + (-10x) + 12x^3 + (-15x^2)\\12x^3 + 8x^2 - 15x^2 -10x\\12x^3 -7x^2 -10x[/tex]
Hope this helps, and let me know if I made a mistake! ^_^
If angle jnp =2x+3 and angle knl =3x-17 and angle knj =3x+34 find the measure of each angle
Answer:
m∠JNP=43°
m∠KNJ=94°
m∠KNL=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠JNP+m∠KNJ+m∠KNL=180° ----> by definition of supplementary angles
we have
m∠JNP=(2x+3)°
m∠KNJ=(3x+34)°
m∠KNL=(3x-17)°
substitute the values
(2x+3)°+(3x+34)°+(3x-17)°=180°
Combine like terms in the left side
(8x+20)=180
Subtract 20 both sides
8x=180-20
8x=160
x=20
Find the measure of m∠JNP
m∠JNP=(2x+3)°
substitute the value of x
m∠JNP=(2(20)+3)=43°
Find the measure of m∠KNJ
m∠KNJ=(3x+34)°
substitute the value of x
m∠KNJ=(3(20)+34)=94°
Find the measure of m∠KNL
m∠KNL=(3x-17)°
substitute the value of x
m∠KNL=(3(20)-17)=43°
How to estimate 1,103 x 59
Answer:
60000
Step-by-step explanation:
Rough estimate: 1000(60) = 60000
Answer:
1,103~1,000
59~60
×__________________
60000
Step-by-step explanation:
You round each of them by the nearest place then multiply (ex. 12 round the 2 because its the one closest to the highest place ~10
× 15~10=100) sorry if it doesn't make sense @-@
sam is 5 feet tall and casts a shadow 4 feet long. at the same time, a nearby tree casts a shadow 12 feet long. what is the height of the tree
Answer:
15
Step-by-step explanation:
We can just make a ratio. 5:4 = x:12. We see x=15
The height of the tree = 15m.
let us say the height of the tree=h
in this problem,
the height of the sam can be treated as perpendicular of a right-angle triangle.
while his shadow can be treated as the base of the same triangle.
now, we need to calculate the angle of elevation α
what is the angle of elevation?it is the angle between the line of sight and the horizon.
hence,
the tangent of the angle of elevation α= height/length of the shadow
tanα= 5/4
tan α = height of the tree/length of the shadow of the tree
5/4 = h/12
h=15m
therefore, the height of the tree = 15m
to get more about trigonometric ratios refer to the link,
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please help me! thanks in advance trying to raise my grade
Answer:
x=53
Step-by-step explanation:
In the attachment, it shows how the angle 53 is vertically opposite to the one in blue. Which happens to be corresponding, therefore equal, to the angle x.
Have a nice day!!! :-)
KA
-4×-y=24 to find the x-vlue that corresponds to y=8 let's substitute this y-vlue In the equation
-4x - y = 24
Let y = 8
-4x - 8 = 24
-4x = 24 + 8
-4x = 32
You finish.
the line of the line below is -4 use the coordinates of the labeled point to find a point slope equation of the line(4,-9)
a. y - 9 = -4(x + 4)
b. y + 9 = 4(x - 4)
c. y + 9 = -4(x - 4)
d. y - 9 = 4(x + 4)
Answer:
c. y + 9 = -4(x - 4)
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful.
I am joyous to assist you anytime.
Choose all the statements that are true about this sequence.
60, 66, 72, 78
The value of the first term is 1.
This is an arithmetic sequence.
The value of the third term is 72.
The sequence starts at 60 and adds 4 repeatedly.
The sequence starts at 66 and adds 6 repeatedly
There are four terms in this sequence.
The sequence starts at 60 and adds 6 repeatedly.
This is an arithmetic sequence
The value of the 3rd term is 72
There are 4 terms in this sequence
The sequence starts at 60 and adds 6 repeatedly
Hi the question is done below pls answer for 60points
Answer:
Scalene Right i would believe!
Step-by-step explanation:
Find n 5|6n+15|+2=-43
Answer:
No solutionStep-by-step explanation:
[tex]5|6n+15|+2=-43\qquad\text{subtract 2 from both sides}\\\\5|6n+15|+2-2=-43-2\\\\5|6n+15|=-45\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1|6n+15|}{5\!\!\!\!\diagup_1}=\dfrac{-45\!\!\!\!\!\diagup^9}{5\!\!\!\!\diagup_1}\\\\|6n+15|=-9\qquad\bold{FALSE}\to\text{no solution}\\\\\text{because}\ |a|\geq0\ \text{for any real value of}\ a.[/tex]
5(2-x) is greater than or equal to -5(x+8)
Answer:
greater than
Step-by-step explanation:
5(2-x) = 10-5x
-5(x+8)= -5x-40
Two students wrote the following numerical expressions.
Angeline: (7 + 15) × (38 + 15)
MeiLing: 15 × (7 + 38)
Are the students’ expressions equivalent to your answer in Problem 4? Explain your answer.
Answer:
The expression are not equivalent.
Step-by-step explanation:
For Angeline we have the next process:
[tex](7+15)\times(38+15)=22\times53=1166[/tex]
For MeiLing we have:
[tex]15\times(7+38)=15\times45=675[/tex]
Then we have that the students expressions are not equivalent.
The process to solver the expressions was solving first the parenthesis and after that solver the multiplication.
Angeline's and MeiLing's expressions are not equivalent; Angeline's result is 1166 whereas MeiLing's is 675, due to different placement of parentheses and the main operator used.
To determine if the expressions provided by Angeline and MeiLing are equivalent, we must first simplify both expressions using the order of operations.
Angeline's expression is: (7 + 15) × (38 + 15). First, we perform the additions inside the parentheses:
7 + 15 = 22
38 + 15 = 53
Now we multiply the sums:
22 × 53 = 1166
MeiLing's expression is: 15 × (7 + 38). Again, we first add the numbers inside the parentheses:
7 + 38 = 45
And then multiply by 15:
15 × 45 = 675
Angeline's result is 1166 and MeiLing's result is 675, so the two expressions are not equivalent. It's the placement of the parentheses and the use of the main operator that leads to different results. This illustrates the importance of following the proper mathematical rules and sequence of operations to get the correct answer.
Raj wrote - (5^4) = ( – 5)^4 is Raj correct? Why or why not?
Answer:
This is False / incorrect
Step-by-step explanation:
because one side is positive and the other one negative
Answer:
No, it would just be -5^4
Step-by-step explanation:
Because when distributing the negative into the parentheses, we would not keep the parentheses afterwards
m<ZHG = 11x - 1, m<ZIHZ=24°
and m<IHG = 12x + 13. Find m<IHG.
Answer:
m<IHG=133°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate
substitute the given values and solve for x
11x-1+24=12x+13
Combine like terms
11x+23=12x+13
Group terms that contain the same variable
12x-11x=23-13
x=10
Find the measure of angle IHG
substitute the value of x
m<IHG= 12(10)+13 =133°
Marcie is playing a board game with I friend. She needs 20 points to win.she currently has -10. She want to know the difference between the number of points she needs.
A. Write a subtract problem to represent the situation. Then write the subtraction problem as an addition problem.
B. Model the addition problem on the number line.
C.what is the difference between the number of points she needs to win and the number point she has now.
A. 20 - (- 10) = 20 + 10 = 30 points.
B. Illustrated on the diagram.
C. The difference between the number of points she needs to win and the number of point she has now is 30 points.
What is a number line?A number line is a horizontal line where we can represent any real number.
The origin of the number line is represented with zero and left to it are all negative numbers and right to it is all positive numbers.
Given, she has - 10 points, and to win she needs 20 points.
∴ She needs 20 - (- 10) = 20 + 10 = 30 points.
Modeling of this situation is represented by the diagram given.
The difference between the number of points she needs to win and the number of point she has now is 30 points.
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This answer provides a step-by-step explanation of how to solve a subtraction and addition problem in the context of a board game scenario.
A. Subtract problem: Marcie needs 20 points to win, she has -10 points. The subtraction problem is 20 - (-10). This can be written as an addition problem: 20 + 10.
B. Model on the number line: Mark 20 as the target number on the number line and then move 10 units to the right to represent addition.
C. The difference: The difference between the number of points Marcie needs to win and what she has now is 30 points.
for #3 find the x and y-intercept and graph
Answer:
The x-intercept is at -8 and the y-intercept is at -5.
Step-by-step explanation:
When you simplify 5x + 8y = 40 into y = mx + b form, you get y = -5/8x - 5.
Answer: x-intercept is (-8,0) and y-intercept is (0,-5)
Step-by-step explanation:
5x+8y=-40
To find the x-intercept, you plug in 0 in for y.
5x+8(0)=-40
5x=-40
Then solve for x
5x/5=-40/5
x=-8
The x-intercept is (-8,0)
To find the y-intercept, you plug in 0 in for x
5(0)+8y=-40
8y=-40
Solve for y
8y/8=-40/8
y=-5
y-intercept is (0,-5)
What is the first step in simplifying
Answer: PEMDAS
parenthesis, exponents, multiplication, division, addition, subtraction
Step-by-step explanation:
Answer:
Collect like terms or reduce or using PEMDAS METHOD.
3-(-9)÷-10+6
what is the answer?show work
Answer:
- 12/4
Step-by-step explanation:
3 - (-9) / (-10) + 6
3 + 9 / (-4)
12 / (-4)
- 12/4
Question
George invested $4400 in an account with annually compounded interest. After 5 years, he had $5790 in the account. What
was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign,
Answer:
The rate of interest was approx 5.64%.
Step-by-step explanation:
The compound interest formula is :
[tex]A=p(1+\frac{r}{n} )^{nt}[/tex]
Here p = 4400
r = ?
n = 1
t = 5
A = 5790
Now putting the values in formula we get;
[tex]5790=4400(1+\frac{r}{1} )^{5}[/tex]
=> [tex]5790=4400(1+r )^{5}[/tex]
=> [tex]\frac{5790}{4400} =(1+r )^{5}[/tex]
=> [tex]1.316=(1+r )^{5}[/tex]
=> [tex]1+r=\sqrt[5]{1.316}[/tex]
r = 0.0564
In percentage it is [tex]0.0564\times100[/tex] = 5.64%
Hence, the rate of interest was approx 5.64%.
The length of a rectangle is 2 m greater than the width. The area is 168 m2 Find the length and the width
Answer:
Length = 14m
Width = 12m
Step-by-step explanation:
The length of a rectangle is 2m greater than the width.
The area of the rectangle = 168m²
Let's say the width is x meters.
The length will be (x + 2) meters.
Area of a rectangle = length × width
x(x + 2) = 168
x² + 2x - 168 = 0
Solving x by applying the quadratic formula we get;
x = 12 or -14
Since the width cannot be negative, we take 12 meters to be the dimensions of the width.
The length = 12 + 2 = 14 meters.
To find the length and width of the rectangle, we formulate an equation based on the known relationship between the dimensions and the given area. Solving the equation, we get the width as 12 m and length as 14 m.
Explanation:The question is about finding the length and width of a rectangle given the area and a relationship between the two dimensions. We can set up an equation based on the information given and the formula for the area of a rectangle. Namely, the area of a rectangle is equal to its length multiplied by its width (A = lw).
According to the problem, the length of the rectangle is 2 m more than the width. We can express this relationship as L = W + 2. We also know that the area of the rectangle is 168 m2, which results in the equation (W + 2)W = 168.
Solving this quadratic equation, we find that the width (W) is 12 m and the length (L) is 14 m. These are the dimensions of the rectangle.
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