Answer:
x = 44º
Step-by-step explanation:
∡P = 360 - 112*2 = 136º
∡A = x = 180 - 136º = 44º
Answer:
x=44 degrees
Step-by-step explanation:
first find angle P ( interior)
the sum of angle of circle=360
angle p=360-(112+112)= 136
angle P and x add up to 180
P+x=180
x=180-136=44 degrees
Tins of milk each of volume 77cm^3 and weight 170g
were packed into an empty carton of volume 1540cm^3
and weight 5ooo g.
How many tins of milk can be packed to fill the carton ?
What is the weight of the carton when packed with the tins of milk?
Answer:
1. 20 tins of milk
2. Weight of the Carton = 8,4kg ot 8400g
Step-by-step explanation:
Given
Volume of a Tin = 77cm³
Weight of a tin = 5000g
Volume of Empty Carton = 1540cm³
Weight of Empty Carton = 5000g
Calculating the number of tins of milk
To do this, we have to make use of the given volumes;
And this is done as follows;
[tex]Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}[/tex]
Substitute 77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton
[tex]Number = \frac{1540cm^3}{77cm^3}[/tex]
[tex]Number = 20[/tex]
Hence, 20 tins of milk will filled the empty carton
Calculating the weight of the Carton after filled with tins of milk
This is calculated as thus;
Total Weight = Weight of Empty Carton + Weight of Tins of Milk
Substitute 5000g for Weight of Empty Carton
Total Weight = 5000g + Weight of Tins of Milk
_________________________________________
Calculating Weight of Tins of Milk
Since 20 tins of milk will fill the empty carton, the
Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk
Weight of Tins of Milk = 20 * 170g
Weight of Tins of Milk = 3400g
_________________________________________
Substitute 3400g for Weight of Tins of Milk
[tex]Total\ Weight = 5000g + 3400g[/tex]
[tex]Total\ Weight = 8400g[/tex]
In Kilograms:
[tex]Total\ Weight = 8.4kg[/tex]
Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108
Answer:
m(m-3)=108
Step-by-step explanation:
Complete question below:
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Solution
On the number line,
Let
m= larger integer
The integers are 3 numbers apart on the number line, so
m-3=smaller integer
The product (×) of the larger and smaller integers=108
(m)*(m-3)=108
m(m-3)=108
Therefore, the equation that can be used to solve for m, the larger integer is:
m(m – 3) = 108
Answer:
its a
Step-by-step explanation:
XD
Which one of the following would most likely have a positive linear correlation coefficient?
A. temperature of a refrigerator compared to the number of items inside of it
B. amount of money spent on baby food as a child ages
C. length of a driveway compared to number of cars owned
D. distance driven in a car compared to the hours spent driving
Answer:
D
Step-by-step explanation:
In this question, we are to select which of the options best answer the question.
What we are dealing with in the question is the coefficient of correlation. We want a correlation. coefficient that is positively linear.
Correlation talks about the extent of agreement between the data points involved.
So basically, what we want here are the two terms that are mostly related to one another.
A has no relationship between the two quantities. There is actually no relationship between a refrigerator’s temperature and the number of items in the refrigerator.
B , all things being equal, when a child ages , the amount spent of baby food decreases.
This shows a kind of negative correlation between the two terms
C basically has no relationship between the term/. The number of cars owners does not dictate the length of the driveway.
D. Yes, we have a positive linear relationship here. The longer you drive, the longer the distance covered.
For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What is the resulting equation? 1. 3x + 5x - 4 = 1 2. 3x + 4 - 5x = 1 3. 3x + 5x + 4 = 1
Answer:
The answer is A.
Step-by-step explanation:
So we have the two equations:
[tex]3x+y=1\\y+4=5x[/tex]
To make a substitution of the second equation into the first equation, we need to isolate the y variable in the second equation. Thus:
[tex]y+4=5x\\y=5x-4[/tex]
Now, we can substitute this into the first equation. Therefore:
[tex]3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1[/tex]
Which equation can you use to solve for theta in the figure shown? A right triangle is shown. 2 sides have lengths of 45 feet and 31.2 feet and the hypotenuse has a length of 54.8 feet. The angle opposite to the side with length 45 feet is theta.
Answer:
45/58.4
Step-by-step explanation:
Answer: part 1: 45/54.8.
Part 2: 55.2
Step-by-step explanation:
Edge
2. Ravi purchased an old house for Rs. 76.5000 and
spent Rs. 115000 on its. Then he sold it at a
gain of 5%. How many
much did he get.
Answer:
Rs. 924000.
Step-by-step explanation:
Cost of house = 765000
Additional money spent on it = 115000
Total cost incurred by Ravi = 765000 + 115000 = 880000
Gain = 5% of total cost
gain in Rs = 5/100 * 880000 = Rs. 44000
Total selling price of house = total cost incurred + profit = 880000+ 44000
Total selling price of house = Rs. 924000
Thus, Ravi got Rs. 924000.
which ones have no solution? a. -14x+23=14x-23 b. 14x+23=14x-23 c. -23x-14=14x-23 d. 14x-23=14x-23
Answer:
B and D
Step-by-step explanation:
B: 14x and 14x cancel out, so there would be no x left.
D: 14 x and 14x cancel out, as well as -23 and -23, therefore leading to no solution.
Hope this is helpful! :)
Answer:
The answer is B
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
Which of the following represents a term from the expression given?
3x2+8x - 10
Answer:
8x for plato
Step-by-step explanation:
The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8
Answer:
-2
Step-by-step explanation:
your equation is
f(x) = -2x+8
-2x
-2 is the slope
Answer:
The slope is -2
Step-by-step explanation:
Rewriting f(s) as y
y = -2x+8
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x+8
The slope is -2
Let [tex]m=x^{2}+3[/tex]
Which equation is equivalent to [tex](x^{2}+3)^{2} +7x^{2} +21=-10[/tex]
A.) [tex]m^{2}-7m+10=0[/tex]
B.) [tex]m^{2}-7m+31=0[/tex]
C.) [tex]m^{2}+7m+10=0[/tex]
D.) [tex]m^{2}+7m+31=0[/tex]
Answer:
[tex]{m}^{2} +7m + 28 = 0[/tex]
Step-by-step explanation:
Given that,
[tex]m = {x}^{2} + 3[/tex]
We know that,
[tex] {x}^{2} = m- 3[/tex]
Now look at the sum
[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ [/tex]
[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ {m}^{2} + 7 \times m- 3 + 21 = - 10 \\ {m}^{2} +7m + 18= - 10 \\ {m}^{2} + 7m + 18+ 10 = 0 \\ {m}^{2} + 7m + 28 = 0[/tex]
A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2? Please show you're work!
Answer:
5/18
Step-by-step explanation:
There are 36 possible outcomes
There are 6 with a 2 as the first roll
There are 4 with a sum of 9
P( sum is 9 or that the first number is a 2)
= sum is 9 or that the first number is a 2/total
( 6+4) / 36
=10/36
=5/18
Please answer this question now in two minutes
Answer:
20
Step-by-step explanation:
use the cos or sin function to solve
Step-by-step explanation:
using 30°
we use cos
cos 30 =10√3/UU = 10√3/Cos30 =20cmusing 60
we use Sin
Sin 60=10√3/UU = 10√3/Sin60 = 20plz help will give brainliest
Answer:
77
Step-by-step explanation:
slope equation
The roots of 100x2 – 20x + 1 = 0 is:
Answer:
x = 0.1Step-by-step explanation:
[tex]100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1[/tex]
If the lengths of the legs of a right triangle are 3 and 10, what is the length of the hypotenuse?
Answer:
a = √109 or 10.44Step-by-step explanation:
To find the hypotenuse we use Pythagoras theorem which is given by
a² = b² + c²
where a is the hypotenuse
So we have
a² = 10² + 3²
a² = 100 + 9
a² = 109
a = √109 or 10.44Hope this helps you
Answer:
10.4
Step-by-step explanation:
write the sum of twice a number and eleven as an algebraic expression
Answer:
2x-11
Step-by-step explanation:
2 x X = 2x + 11
(Tough day dividing polynomials and I'm still lost!) Please help me my hands are legit numb:)
Answer:
Option D. 9
Step-by-step explanation:
There are two ways to obtain the answer to the question.
Method 1:
Let 2x + 1 = 0
Making x the subject, we have
2x + 1 = 0
Collect like terms
2x = –1
Divide both side by 2
x = –1/2
Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:
4x³ – 6x² – 8x + 7
x = –1/2
4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7
4(–1/8) – 6(1/4) – 8(–1/2) + 7
–1/2 – 3/2 + 4 +7
– 4/2 + 4 + 7
– 2 + 4 + 7
= 9
Method 2:
Divide 4x³ – 6x² – 8x + 7 by 2x + 1
Please see attached photo for explanation.
A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?
Answer: 120
Step-by-step explanation:
Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.
The total number of marbles in the bag : 2+2+1+5+6=16
Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is
[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex] [[tex]\because\ C(n,1)=n[/tex]]
Hence, the number of sets of four marbles include one of each color other than lavender = 120
What is a co-prime number? Please answer as soon as possible Thank you
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Two numbers that only have 1 as a common factor are called co-prime numbers.
Example:
Factors of 3 ⇒ 1, 3
Factors of 4 ⇒ 1, 2, 4
These numbers only have 1 as a common factor. So 3 and 4 are co-prime numbers.
Which graph represents the solution to this system of inequalities? y 2x-4
Answer:
where's the graph??? .......
Determine whether the underlined number is a statistic or a parameter. Upper A sample of professors is selected and it is found that Modifying 35 % with underline own a television. Choose the correct statement below. Parameter because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a population. Parameter because the value is a numerical measurement describing a characteristic of a sample. Statistic because the value is a numerical measurement describing a characteristic of a sample
Answer:
Option : Statistic because the value is a numerical measurement describing a characteristic of a sample.
Step-by-step explanation:
A sample of professors is selected and it is found that Modifying 35 % with underline own a television.
The 35% is the value that summarizes the characteristic of the sample taken from the population. Thus, the value 35% is a statistic.
While a parameter gives a value describing the characteristic of the population itself
Given: Sample proportion is (P)=[tex]35%[/tex]%.
Statistics are the constants that are computed from sample observations alone. This is a simple definition of statistics.
Answer: The correct statement is Statistic because the value is a numerical measurement describing a characteristic of a population.
Explanation: That is, statistic because the value is a numerical measurement describing the characteristic of a sample.
The remaining statements are incorrect.
As parameters are the constants of the population. They describe only the population not the sample.
Learn more: https://brainly.com/question/10211620
A box with an open top is to be constructed from a square piece ofcardboard, with sides 6 meters in length, by cutting a square from each of the fourcorners and bending up the sides. Find the dimensions that maximize the volume ofthe box and the maximum volume.
Answer:
Step-by-step explanation:
Let x be the height of the box . x will be cut at four corners .
each side of the box = 6 - 2x
volume of box V = ( 6 - 2 x )² x
V = ( 36 + 4 x² - 24 x ) x
V = 4x³ - 24 x ² + 36 x
For maximum volume
dV / dx = 12 x² - 48 x + 36 = 0
x² - 4 x + 3 = 0
( x - 3 ) ( x - 1 ) = 0
x = 1 , x = 3 ( not possible )
Possible solution x = 1
Volume , for x = 1
V = V = ( 6 - 2 x )² x
V = 4² x 1
= 16 m³.
Which of the following is(are) the solution(s) to |x+3| = 12?
A. X= 15
B. X = 9.-15
C. X = 15,-9
O D. x = 9
Answer:
B. x = 9 or -15Step-by-step explanation:
|x+3| = 12
x+3 = 12 or x+3 = -12
x = 9 or x = -15
Follow the steps to solve for the variable in this two step equation 5x-10=0
Answer:
x = 2
Step-by-step explanation:
5x = 10
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-10=0
Add 10 to each side
5x-10+10=0+10
5x = 10
Divide by 5
5x/5 = 10/5
x = 2
10. Read the following word problem, then choose which linear equation models the problem.
The length of a rectangle is six feet more than twice the width. The rectangle’s perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. 2(2w +6) • (2w) = 84
D. (2w + 6) • (w) = 84
Answer:
D. ( 2w+6). (w)
i tried my best
hope this is the answer
stay at home stay safe
Solve for x. 60 10 20 120
Answer:
Hey there!
We have the angle is equal to half the measure of the arc of 120 degrees. (Just another rule for circles)
7x-10=0.5(120)
7x-10=60
7x=70
x=10
Hope this helps :)
Answer:
x = 10
Step-by-step explanation:
Tangent Chord Angle = 1/2 Intercepted Arc
7x-10 = 1/2 ( 120)
7x -10 = 60
Add 10 to each side
7x -10+10 = 60+10
7x = 70
Divide by 7
7x/7 = 70/7
x = 10
Shelley and David have a sweet tooth. Shelley spent \$2.65 for 15 sour keys and 2 chocolate bars. David bought 3 chocolate bars and 10 sour keys for \$3.35 at the same store. Find the cost of each chocolate bar and each sour key at this store. If you need 8 chocolate bars and 24 sour keys to give to friends coming to your birthday party, how much will they cost you at this store?
Answer:
Chocolate bars: $0.95 each
Sour keys: $0.05 each
Total cost for 8 chocolate bars and 24 sour keys: $8.80
Step-by-step explanation:
sour keys=x
chocolate bars=y
15x+2y=2.65
10x+3y=3.35
multiply the second equation by 1.5
15x+4.5y=5.025
2.5y=2.375
y=0.95
Chocolate bars are $0.95 each.
Now substitute the y value in one of the equations
15x+2(0.95)=2.65
15x+1.9=2.65
15x=0.75
x=0.05
Sour keys are $0.05 each.
For the second part of the question, just multiply the number of chocolate bars by the cost and same thing with the sour keys and add them.
Final answer: $8.80
If a and b are rational numbers and 5 +2 root 3/7+4 root3=a-b root 3;then a and b=
Answer:
[tex]\bold{a=5\,,\quad b=-4\frac27}[/tex]
Step-by-step explanation:
[tex]5+\frac{2\sqrt3}7+4\sqrt3=5+\frac27\sqrt3+4\sqrt3=5+4\frac27\sqrt3=5-(-4\frac27)\sqrt3[/tex]
Urgent help I need it right now!!!!
Answer:
[tex]\boxed{\sf 30 \ bean \ cans}[/tex]
Step-by-step explanation:
The ratio of bean cans to corn cans is 6 : 7
Given that Corn cans = 35
Let the bean can be x
So,
The proportion for it will be:
6 : 7 = x : 35
Product of Means = Product of Extremes
7 * x = 6 * 35
7x = 210
Dividing both sides by 7
x = 30
So, 30 bean cans have to be put on the table to hold the needed ratio
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
[tex]\large \boxed{\sf \ \ 70\% \ \ }[/tex]
Step-by-step explanation:
Hello,
We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :
[tex]1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})[/tex]
For the second week
[tex]1000\cdot (1+\dfrac{r}{5200})^2[/tex]
After 52 weeks
[tex]1000\cdot (1+\dfrac{r}{5200})^{52}[/tex]
and we want to be equal to 2000 so we need to solve:
[tex]1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...[/tex]
Rounded to the nearest percent, the solution is 70%.
If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
4%
Step-by-step explanation: