Answer:
Step-by-step explanation:
First write the question as an equation
x+y = -5
2x+y = -2
From the given equations, we can create a third one.
x+y+2x+y = -7 or 3x+2y = -7
Use trial and error method for the possible values x and y
We know that at least one of these two have to be negative.
x can be 1, in which case y has to be 5.
Check this for
x+y ≠ -5
x can be -1
Try another one where x = -1 and y has to equal -2
Check this
X
x+y = -5
but,
2x+y ≠ -2
Another one,
Answer:
3 and -8
3 x 2 = 6
6 + -8 = 2
3 + -8 = 5
You have to find out which numbers add up to -5
Mainly trial and error
Step-by-step explanation:
What is the solution to the system of equations? y = –5x + 3 y = 1
a(0.4, 1) b(0.8, 1) c(1, 0.4) d(1, 0.8)
Answer:
A
Step-by-step explanation:
We know that the y-coordinate has to be 1 so we can eliminate options C and D. If we plug y = 1 into y = -5x + 3 to solve for x we get:
1 = -5x + 3
-2 = -5x
x = 0.4 so the answer is A.
WILL MARK BRAINLIEST PLEASE HELP ME! In a complete sentence, describe the angle relationship between ∠APD and ∠CPB. Then write and solve an equation based on the relationship you identified in order to find the measure of ∠APD.
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for x:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find x by dividing 2 on both sides
x = 9
Step 5: Plug in x for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
∠APD and ∠CPB are vertically opposite angles
The equation is 6x-10=4x+8
[tex]6x-10=4x+8\\6x-4x=8+10\\2x=18\\x=9[/tex]
Plug x as 9 for the angle.
[tex]4(9)+8\\36+8\\44[/tex]
∠APD and ∠CPB = 44 degrees
The population, P (t), of an Ontario city is modeled by the function p(t) = 14t^2 + 650t + 32,000. If t = 0 corresponds to the year 2,000. When was the population 25,000?
Answer:
The population of the city was 25,000 in 1970 and 1983.
Step-by-step explanation:
In order to find the year at which the population was 25,000 we need to make p(t) equal to that number and solve for t as shown below.
[tex]25000 = 14*t^2 + 650*t + 32000\\14*t^2 + 650*t + 7000 = 0\\t^2 + 46.43*t + 500 = 0\\t_{1,2} = \frac{-46.43 \pm \sqrt{(46.43)^2 - 4*1*500}}{2}\\t_{1,2} = \frac{-46.43 \pm \sqrt{155.75}}{2}\\t_{1,2} = \frac{-46.43 \pm 12.48}{2}\\t_1 = \frac{-33.95}{2} = -16.98\\t_2 = \frac{-58.91}{2} =- 29.5[/tex]
Since t = 0 corresponds to the year 2000, then t1 = 1983 and t2 = 1970.
A group of 4 friends are posing for a photograph. If 2 of the friends want to stand beside each other, how many ways can the picture be taken? 6,10,12,20
Answer:
6
Step-by-step explanation:
If 2 of the friends wants to stand beside each other, we can take these 2 friends like 1 option and calculated the number of ways, using the rule of multiplication as:
__ 3_____ * ____2_____ *____1____ = 6
1st place 2nd place 3rd place
Because we have 3 options (2 friends and the friends that are beside each other) for the first place of the picture, 2 options for the second and 1 option for the third.
What is the surface area of a sphere with a diameter of 16 cm?
Answer:
804.25 cm² (corrected to 2 decimal places)
Step-by-step explanation:
Radius = diameter / 2
= 16/ 2
=8 cm
Surface area of sphere = 4πr²
= 4π8²
=804.25 cm² (corrected to 2 decimal places)
Prove that (〖sin〗^2 θ)/(1+cosθ)=1-cosθ
Answer:
proved
Step-by-step explanation:
prove that : (sin^2 θ)/(1+cosθ)=1-cosθ
(sin^2θ)*(1−cosθ)/(1+cosθ)(1+cosθ) =
sin^2Ф)(1-cosФ)/1-cos^2Ф since 1-cos^2Ф=sin^2Ф then:
(sin^2Ф)(1-cosФ)/sin^2Ф =
1-cosФ (sin^2Ф/sin^Ф=1)
proved
Answer:
Step-by-step explanation:
take it befor delete
Your friend is having trouble solving word problems. Create a word problem of your own and provide the answer along with a detailed explanation of how you solved your equation.
Step-by-step explanation:
Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the car travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
Solution :
Let “x km/hr” be the speed of 1st car
Let “y km/hr” be the speed of the 2nd car
Time = Distance/Speed
Speed of both cars while they are traveling in the same direction = (x – y)
Speed of both cars while they are traveling in the opposite direction = (x + y)
5 = 100/(x -y)
x – y = 100/5
x - y = 20
x - y - 20 = 0 ---(1)
1 = 100/(x + y)
x + y = 100
x + y - 100 = 0--b----(2)
x/(100 + 20) = y/(-20 + 100) = 1/(1 + 1)
x/120 = y/80 = 1/2
x/120 = 1/2 y/80 = 1/2
x = 120/2 y = 80/2
x = 60 y = 40
So, the speed of first car = 60 km/hr
Speed of second car = 40 km/hr
It takes 20 minutes for 5people to paint 5 walls. How many minutes does it take 9 people to paint 9walls?
Answer:
20 minutes.
Step-by-step explanation:
Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.
Hope this helps!
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Answer:
second option
Step-by-step explanation:
Given
[tex]x^{4}[/tex] + 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± [tex]\sqrt{-1}[/tex] = ± i ( noting that [tex]\sqrt{-1}[/tex] = i ), and
x² = - 5 ( take the square root of both sides )
x = ± [tex]\sqrt{-5}[/tex] = ± [tex]\sqrt{5(-1)}[/tex] = ± [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] = ± i[tex]\sqrt{5}[/tex]
Solutions are x = ± i and x = ± i[tex]\sqrt{5}[/tex]
out of 8000 students of Chitwan district 10% take tuition in various subject before the SLC examination. Among them 40% take tuition in English only,20% in math only and 80 students in other subject. Compare the number of students who take tuition on both subject and the total number of students.
Answer:
Out of 8000 students, 10% take tuition in various subjects before the exam.
10% of 8000 is:
10/100 * 8000 = 800
Among the 800, 40% take tuition in English only and 20% take tuition in Math only.
80 students take tuition in other subjects, therefore, in percentage:
80/800 * 100 = 10%
Therefore, the percentage of students that take tuition in both Math and English is:
100% - (40% + 20% + 10%) = 100% - 70% = 30%
30% of the 800 students take tuition in both subjects. That is:
30/100 * 800 = 240 students
Therefore, among the 8000 students in the district, only 240 take tuition in both English and Math.
In percentage:
240/8000 * 100 = 3%
3% of students take tuition in both English and Math.
In Ratio:
3 : 100
3 out of 100 students take tuition in English and Math.
PLEASE HELP ASAP!!!! what is 3/5x + 22 = 28? Explain!
The company profits increased 20% from last year. If the profits last year were $2,500, what are the company's profits this year? A. $30 B. $300 C. $5,000 D. $3,000
Step-by-step explanation:
last years was $2500.00
20% of $2500 = $500.00
profit this year is $3000.00
Answer:
D
Step-by-step explanation:
Find the approximate side lengths and perimeter of quadrilateral WXYZ. If necessary, round your answers to the nearest hundredth.
The approximate length of segment WX is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment XY is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment YZ is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate perimeter of quadrilateral WXYZ is [tex]\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right][/tex]
Answer:
The answer is given below
Step-by-step explanation:
Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)
The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:
[tex]|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Therefore, the side length of the quadrilaterals are:
[tex]|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47[/tex]
[tex]|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4[/tex]
The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units
Answer:
4.47,
2
4
14.47
Step-by-step explanation:
Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
PLEASE HELP IMA MARK BRAINLIST
Answer:
53
Step-by-step explanation:
Explicit Formula: an = a1 + d(n - 1)
Simply plug in your known variables:
an = 8 + 3(n - 1)
Then plug in 16 for n:
a(16) = 8 + 3(16 - 1)
a(16) = 8 + 3(15)
a(16) = 8 + 45
a(16) = 53
Answer:
53
Step-by-step explanation:
an = dn + (a - d)
an = 3n + 8 - 3
an = 3n + 5
Put n as 16 and solve.
3(16) + 5
48 + 5
= 53
HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. How long is the book? _____=pages How long did it take Naoya to read the entire book?______=hours
total number of pages = 550 pages
total amount of time to read the full book = 10 hours
======================================================
Work Shown:
1 hour = 55 pages
4 hours = 220 pages ... multiply both sides by 4
After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall
550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.
While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.
Answer:
550 pages
10 hrs
Step-by-step explanation:
he reads 55 pages per hour
4 hrs* 55 pages/hrs=220 pages
the book is 550 pages long
220 pages+330=550 pages
to find the time to read the whole book:
330/55=6 hrs +4 hrs=10
or
550/55=10 hrs
In the diagram, what is the measure of angle 1 to the nearest degree? a) 82° b) 92° c) 94° d) 98°
Answer:
98
Step-by-step explanation:
7x+4 = 88 because they are vertical angles and vertical angles are equal
7x = 88-4
7x = 84
Divide by 7
7x/7 = 84/7
x = 12
<1 and 7x-2 are supplementary angles since they form a line
<1 + 7x-2 = 180
<1 + 7(12) -2 = 180
<1 +84-2 =180
<1 +82 = 180
<1 = 180-82
<1 = 98
Answer-
98
step by step explanation -
7x+4=88
7x=84
x=12
7x-12=7*(12)-2=82
angle 1=180-82 =
98A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
Answer:
The answer is below
Step-by-step explanation:
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25
Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:
P(A or B) = P(A) + P(B)
Given that P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:
P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57
Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no two of her friends got the same number of coins. What is the largest number of friends to whom Mei Su could have given coins?
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:
12
Step-by-step explanation:
my
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variable y for the unknown number.
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
Thus,
as an inequality it is 8x + 20 ≥ 25.
Hope this helps :)
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
The diagram shows an incomplete polygon. How do I determine whether it is a regular polygon or not? How should I write my reasoning?
Answer:
see explanations below.
Step-by-step explanation:
The shown sides are all equal.
If it is a regular polygon, it must have all interior angles equal, and all sides equal.
IF
all sides are equal and all angles are equal,
THEN
it is a regular polygon, with 12 sides, because in regular polygons, all exterior angles are equal, and add up to 360 degrees.
No. of sides = 360/(180-150) = 360/30 = 12 sides.
Solve (x - 4)2 = 5.
O A. x-5+
O B. * = 41.5
O C. X = 9 and x = -1
O D. X=-4115
Answer:
x=4_+√5option B is the correct option.
Solution,
[tex] {(x - 4)}^{2} = 5 \\ [/tex]
x-4=_+√5
X=4_+√5
Hope this helps...
Good luck on your assignment...
Answer:
(x-4)^2 =5
x^2-16=5
x^2=5+16
x^2=21
√x^2=√21
x=√21
Step-by-step explanation :
First of all open the bracket which has square
Secondly change the position of 16
Note: when a number changes its place , the symbol also changes
then when you get the value take the square root on both sides
and you'll get the answer
find x.
help please !!
Answer:
x = 95°
Step-by-step explanation:
[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]
Here are the 30 best lifetime baseball batting averages of all time, arranged in
order from lowest to highest:
0.329, 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.3616 denotes one occurrence of the batting
average
0.3219
0.33 011 3 3 3 4 4 4-6 7 8 8 8
0.34 100 1 1 2 2 2 4 4 5 6 9
0.35 168
0.3616
JEET
O A. 0.360
OB. 0.336
O C. 0.3606
O D. 0 366
Answer:
D. 0.366
Step-by-step explanation:
Hello!
A stemplot is a way of arranging a data set.
In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.
In the leafs you'll find the third decimal digit.
So for the first value of the stem "0.32" there is only one observation:
0.329 ⇒ 0.32 | 9
For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"
0.358 ⇒ 0.35 | 8
0.366 ⇒ 0.36 | 6
So the whole stem plot for this 30 observations is:
Stem | Leafs
0.32 | 9
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
0.35 | 8
0.36 | 6
Considering this, the correct option is D
I hope this helps!
Gassim bought 2L of colour paints to paint a wall of a villa. He already had 0.75L of colour paint. If he uses 2/5 of colour paints , find the amount of colour paints left?
THNXX for answering : )
Answer:
0.45 litres
Step-by-step explanation:
2/5 multiplied by 2 = 0.8
0.8+0.75= 1.55
2-1.55 = 0.45
Samuel wants to estimate what 5843 x .00243 is. What should his first step be?
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
A: x2
B: x5
C: divide by 2
D: divide by 5
Answer:
x2
Step-by-step explanation:
In 5x, 5 is a constant and therefore if we double x we will double 5 too.
The UK has an area of 243,610km2 and a population of 6.41 x 107. Calculate the population density the United Kingdom. Answer to the nearest whole person and give your answer in standard form, such as a x 10b where you are required to enter the values of A and B
A =
B =
Answer: Population density the United Kingdom [tex]=2.63\times10^2[/tex]
A= 2.63
B= 2
Step-by-step explanation:
We know that, to calculate the population density, we will divide the population by the size of the area.
i.e. [tex]\text{Population density}=\dfrac{\text{Population size}}{\text{Area}}[/tex]
Given : Area of UK = 243,610 km²1
Population = [tex]6.41 \times 10^7[/tex]
Then, the population density the United Kingdom would be :
[tex]\text{Population density}=\dfrac{6.41 \times 10^7}{243,610}\\\\=\dfrac{64100000}{243610}=263.125487459\\\\\approx263=2.63\times10^2[/tex]
On comparing to [tex]A\times10^B[/tex], we get
A= 2.63
B= 2
Add the sum of (−5.4) and 8.2 to the opposite of (−2 3/4 ).
Answer:2
Step-by-step explanation:
-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.