Answer:
1.63
HOPE THIS WILL HELP..............!
aljebra questions anum counted the money she had in her purse and money box . When she doubbled the amount in her purse and add it to the amount in money box she gets rs 1700 . When she triples the amount in her purse and add in to money box she gets rs 2200. How much money does she have in her purse
Answer:
Money in her purse is Rs. 500.
Step-by-step explanation:
Let the money in her purse = Rs. [tex]x\\[/tex]
Let the money in her Money box = Rs. [tex]y[/tex]
As per question statement,
Double the money in her purse (i.e. [tex]2 \times x[/tex]) and add it to the amount in money box, she gets Rs. 1700.[tex]2x+y=1700[/tex] ........ (1)
Triple the money in her purse (i.e. [tex]3\times x[/tex]) and add it to amount in money box ([tex]y[/tex]), she gets Rs. 2200.[tex]3x+y=2200[/tex] ....... (2)
To find: Money in her purse = ? i.e. [tex]x=?[/tex]
Let us solve for [tex]x[/tex] using the two linear equations.
We can use substitution method here i.e. find value of one variable from one equation and then substitute that value in other equation.
Using equation (1), we get the value of [tex]y[/tex] as follows:
[tex]y=1700-2x[/tex]
Now, let us put this value of y in equation (2) to find the value of [tex]x[/tex]:
[tex]3x+1700-2x=2200\\\Rightarrow x+1700 = 2200\\\Rightarrow x=2200-1700\\\Rightarrow x = Rs.\ 500[/tex]
Money in her purse is Rs. 500.
Help Please!! I can't seem to get the answer no matter how hard I try.... But it seems so easy.. Wjhsjwskwnw
Answer:
109 cm³
Step-by-step explanation:
Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r
The circumference of the semi-circle can be calculated as:
2r + 1/2 × (2πr) = 11Then we can find the value of r:
r(2+π)=11r= 11/(2+π)r= 11/5.14r= 2.14 cmThe volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:
V= (2r)³ + 1/2×πr²×2r= 8r³ + πr³= (8+π)×r³V= (8+3.14)×2.14³ = 109.1758 cm³The volume is approx. 109 cm³label missing angles 1, 2, 3, 4, and 5 if lines ‘m’ and ‘n’ are parallel
Answer:
see attached diagram
Step-by-step explanation:
1. 1 and 70 are angles on a line (supplementary)
2. vertical angles with 70
3. angles on a line are supplementary
4. 2 and 4 are supplementary interior angles between parallel lines m & n
5. corresponding angle with 70
2. If a perfect die is cast, what is probability of obtaining a 5?
A. 1/6
2. 9/20
C. 9/11
D. 7/10
-
Step-by-step explanation:
If a perfect die is cast, the probability of obtaining a 5 is 1/6.
(-y^5)(8y^2) and (-7^5)(9y) and (-7^5)(-5)
Answer:
[tex]-8y^{25}\\-9y^6\\5y^5[/tex]
Step-by-step explanation:
First one.
[tex]((-y)^5)(8y^{20})=-y^5*8y^{20}=-8y^{5+20}=-8y^{25}[/tex]
Second one
[tex]((-y)^{5} )(9y)=-y^5*9y=-9y^{5+1}=-9y^6[/tex]
and last one
[tex]((-y)^5)(-5)=-y^5*(-5)=5y^5[/tex]
Yesterday, a factory used (2)/(3) of a tub of peanut butter. They use 16 of a tub of peanut butter for each batch of peanut butter cookies. How many batches of peanut butter cookies did the factory make yesterday? help!
Answer:
4 batches
Step-by-step explanation:
1/3=2/6, 2/3=4/6
1. A test-tube has a diameter of 3cm. How many turns would a piece of thread of length
90.42cm make round the test tube. (Taken= =).
(3marks)
So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.
Step 1) Find the circumference
C = pi x diameter
C = 3.14 x 3
C = 9.42
Step 2) Divide the length of the string by the circumference
90.42 / 9.42 = 9.5987
The string would make approximately 9.60 turns around the test tube.
Hope this helps!! :)
PLEASE HELP I NEED HELP FAST ILL ALSO THANK AND MARK AS BRAINLIEST IF U ANSWER ALL OF THEM WITH AT LEAST MOST OF THEM CORRECT Find the original price if the price was: $3b after a 70% discount. What number : Increased by 75% is 35? Find the original price if the price was: $8a after a 60% increase?
Answer:
1) $10b
2) 20
3) $5a
Find the value of x.
x = 64°
Step-by-step Explanation
x = 1/2[(360° - 2*58°)-2*58°]
x = 1/2[(360° - 2*58°) - 2*58°]
x = 1/2[(360° - 116°) - 116°]
x = 1/2[244° - 116°]
x = 1/2[128°]
x = 64°
PLEASE HELP ASAP PLSSSS
Answer:
Got u 8382 for
Step-by-step explanation:
The one is the one for owing me owning this world haha 8282
Answer:
14°
Step-by-step explanation:
Calculate the common side ZX to both right triangles.
Using the tangent ratio in the upper right triangle.
tan70° = [tex]\frac{opposite}{asjacent}[/tex] = [tex]\frac{ZX}{3}[/tex] ( multiply both sides by 3 )
3 × tan70° = ZX , thus
ZX ≈ 8.24
Using the cosine ratio in the lower right triangle.
cos ZXY = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{ZX}[/tex] = [tex]\frac{8}{8.24}[/tex] , thus
∠ ZXY = [tex]cos^{-1}[/tex] ([tex]\frac{8}{8.24}[/tex] ) ≈ 14° ( to the nearest degree )
what must be divided to 43659 to get a perfect square
Answer:
11
Step-by-step explanation:
Prime factor: 43659 = 3*3*3*3*7*7*11
Pair: √43659 = √3²×3²×7²×11
11 is odd therefore 11 must be divided by 43659
3x (4x^2 + 4xy + 5y - 6) = ?
Answer:
12x^3 + 12x^2y + 15xy - 18x
Step-by-step explanation:
I simply expanded the equation by multiplying everything in the parentheses by 3x.
Answer:
12x^3+12x^2y+15xy-18x
Step-by-step explanation:
3x (4x^2 + 4xy + 5y - 6)
Distribute
3x *4x^2 +3x* 4xy + 3x*5y -3x* 6
12x^3+12x^2y+15xy-18x
Two cars leave an intersection at the same time. One drives east while the other travels south at 15 miles per hour faster than the other. After 3 hours, the cars are 225 miles apart. How fast is the southbound car driving?
Answer:
60 mph
Step-by-step explanation:
Let 'S' be the velocity of the southbound car and 'E' be the velocity of the eastbound car. The distances traveled by each car are:
[tex]D_E=3E\\D_S=3S=3(E+15)\\D_S=3E+45[/tex]
The distance between both cars is given by:
[tex]D^2=D_S^2+D_E^2\\225^2=(3E+45)^2+(3E)^2\\50,625=9E^2+270E+9E^2+2,025\\18E^2+270E-48,600=0\\[/tex]
Solving the quadratic equation for the velocity of the eastbound car:
[tex]18E^2+270E-48,600=0\\E^2+15E-2,700\\E=\frac{-15\pm\sqrt{15^2-4*1*(-2,700)}}{2}\\E=45.0\ mph[/tex]
The velocity of the southbound car is:
[tex]S=E+15=45+15\\S=60\ mph[/tex]
The southbound car is driving at 60 mph.
“a railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158 feet above the bottom of the gorge. a train is crossing this gorge from the higher cliff to the lower. when the front of the train has traveled three-fourths of the bridge's length, how many feet is it above the bottom of the bottom of the gorge?”
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Which of these r-values represents the strongest correlation?
A. -0.7
B. -0.8
C. -0.6
D. -0.5
I guess the answer is D because it is the most far from -1 rather than the other
Answer: The answer should be D.-0.5
a 4 times the sum of 3 & 5 is subtracted
from
rom 35
(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect square.
Answer:
1a (x + y)² = x² + 2xy + y²
1b. (x - y)² = x² - 2xy + y²
2. (x + y)² - (x - y)² = 4xy
3. 4² – 2² = 12
Step-by-step explanation:
1a. Expansion of (x + y)²
(x + y)² = (x + y)(x + y)
(x + y)² = x(x + y) + y(x + y)
(x + y)² = x² + xy + xy + y²
(x + y)² = x² + 2xy + y²
1b. Expansion of (x - y)²
(x - y)² = (x - y)(x - y)
(x - y)² = x(x - y) - y(x - y)
(x - y)² = x² - xy - xy + y²
(x - y)² = x² - 2xy + y²
2. Determination of (x + y)² - (x - y)²
This can be obtained as follow
(x + y)² = x² + 2xy + y²
(x - y)² = x² - 2xy + y²
(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)
= x² + 2xy + y² - x² + 2xy - y²
= x² - x² + 2xy + 2xy + y² - y²
= 2xy + 2xy
= 4xy
(x + y)² - (x - y)² = 4xy
3. Writing 12 as the difference of two perfect square.
To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.
We'll begin by 4
4² – 12
16 – 12 = 4
Find the square root of 4
√4 = 2
4 has a square root of 2.
Thus,
4² – 12 = 4
4² – 12 = 2²
Rearrange
4² – 2² = 12
Therefore, 12 as a difference of two perfect square is 4² – 2²
Plz ans with steps... Thx!!
Answer:
16
Step-by-step explanation:
Let the 1st part of your answer be x , so the 2nd part will be 40-x . From the given information, we can write the equation: (1/4)x = (3/8) × (40-x) . We can simplify this into (1/4)x = (120-3x)/8 ; 8x = 480-12x ; 8x+12x = 480 ; 20x = 480 ; x = 480/20; x = 24
Therefore, the 1st part = 24
Plug this into your 40-x equation to get: 40 - 24 = 16
Please answer this question now
Answer:
[tex] Area = 400.4 m^2 [/tex]
Step-by-step Explanation:
Given:
∆UVW,
m < U = 33°
m < V = 113°
VW = u = 29 m
Required:
Area of ∆UVW
Solution:
Find side length UV using Law of Sines
[tex] \frac{u}{sin(U)} = \frac{w}{sin(W)} [/tex]
U = 33°
u = VW = 29 m
W = 180 - (33+113) = 34°
w = UV = ?
[tex] \frac{29}{sin(33)} = \frac{w}{sin(34)} [/tex]
Cross multiply
[tex] 29*sin(34) = w*sin(33) [/tex]
Divide both sides by sin(33) to make w the subject of formula
[tex] \frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)} [/tex]
[tex] \frac{29*sin(34)}{sin(33)} = w [/tex]
[tex] 29.77 = w [/tex]
[tex] UV = w = 30 m [/tex] (rounded to nearest whole number)
Find the area of ∆UVW using the formula,
[tex] area = \frac{1}{2}*u*w*sin(V) [/tex]
[tex] = \frac{1}{2}*29*30*sin(113) [/tex]
[tex] = \frac{29*30*sin(113)}{2} [/tex]
[tex] Area = 400.4 m^2 [/tex] (to nearest tenth).
Which is the correct algebraic expression after combining like terms? 6 + 8 x minus 7 minus x 7 x minus 1 7 x + 13 9 x minus 1 9 x + 13
Answer:
7x-1
Step-by-step explanation:
i did the test
Answer:
7x-1
Step-by-step explanation:
correct answer on edge
What is the determinant of the coefficient matrix of the system –7 –2 –1 0
Answer:
0
Step-by-step explanation:
Please check attachment for complete solution
Answer:
D. 0
Step-by-step explanation:
last option
Can the following question be considered a statistical question, and why? How many hours are people watching movies each week?
Answer:
The answer is no.
Step-by-step explanation:
The questions does no specify how many people are watching the movies each week.
Hoped this helped you out a bit! :)
Around which line would the following cross-section need to be revolved to create a sphere? circle on a coordinate plane with center at 1 on the y-axis and a radius of 1
Answer:
y= 1
Step-by-step explanation:
A circle forms a sphere only when it goes around a straight line throughout the center so y= 1 because it's (1,0).
The y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.
It is given that the circle is on a coordinate plane with the centre at 1 on the y-axis.
It is required to find around which line would the following cross-section need to be revolved to create a sphere.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the centre of a circle).
We have a circle on the coordinate plane the centre of the circle lies on the y-axis at 1.
On y=axis the value of x is zero ie. x= 0
The centre of the circle = (0,1)
If a half-circle revovle around the axis which is dividing the circle into two halves.
As we can see in the graph the y-axis and y=1 divide the circle into two halves.
Thus, the line y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.
Learn more about circle here:
brainly.com/question/11833983
Can someone help me with this one too
Answer:
A. [tex] 3 {}^{9} [/tex]
Step-by-step explanation:
[tex]3 {}^{4} \times {3}^{5} = {3}^{4 + 5} = 3 {}^{9} [/tex]
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{3^9}[/tex]
Step-by-step explanation:
[tex]3^5 \times 3^4[/tex]
Apply the law of exponents : [tex]a^b \times a^c = a^{b+c}[/tex]
The exponent product rule states that, when multiplying two exponents that have the same base, you can add the exponents.
[tex]3^{5+4}[/tex]
[tex]3^9[/tex]
With steps... Thanks..
Answer:
[tex]\boxed{-25x-y}[/tex]
[tex]\boxed{-p^2q +5pq^2}[/tex]
Step-by-step explanation:
[tex](-15x+6y)-(10x+7y)[/tex]
Distribute negative sign.
[tex]-15x+6y-10x-7x[/tex]
Combine like terms.
[tex]\boxed{-25x-y}[/tex]
[tex]2pq(p+q)- (3pq(p-q))[/tex]
Expand brackets.
[tex]2p^2 q+2pq^2 -(3p^2q-3pq^2)[/tex]
Distribute negative sign.
[tex]-3p^2q+3pq^2+2p^2q+2pq^2[/tex]
Combine like terms.
[tex]\boxed{-p^2q +5pq^2}[/tex]
Answer:
a. -25x - yb. pq ( - p + 5q )Step-by-step explanation:
a.
[tex] - 15x + 6y - (10x + 7y)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] - 15x + 6y - 10x - 7y[/tex]
Collect like terms
[tex] - 15x - 10x + 6y - 7y[/tex]
[tex] - 25x - y[/tex]
b.
[tex]2pq(p + q) - 3pq(p - q)[/tex]
Factor out pq from the expression
[tex]pq(2(p + q) - 3(p - q))[/tex]
Distribute 2 through the parentheses
[tex]pq \: (2p + 2q - 3(p - q)[/tex]
Distribute -3 through the parentheses
[tex]pq \: (2p + 2q - 3p + 3q)[/tex]
Collect like terms
[tex]pq( - p + 5q)[/tex]
Hope this helps...
Best regards!!
I have a lot of questions like this, and I know the formula but I still get it wrong!
Answer: 4
Step-by-step explanation: use pick’s theorem to solve.
I+B/2-1.
We can substitute the variables with our information from the graph:
0+10/2-1=5-1=4 that’s the answe
Hope this helps
A professor is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71? *Round your answer to the nearest full value.
Answer:
66666699999
Step-by-step explanation:
49 students choose to attend one of three after school activities: football, tennis or running.
There are 18 boys.
11 students choose football, of which 1 are girls.
29 students choose tennis.
7 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
The probability that student chose running is 9/49 .
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Consider the information as that 49 students choose to attend one of three after-school activities: football, tennis, or running.
11 students choose football, 29 students choose tennis.
The students choose running = 49 - 11 - 29 = 9.
The students choose running = 0
This means out of 49 students 9 choose running.
P(E) = 9/49
Hence, the probability that student chose running is 9/49 .
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
What is the slope of (3,-2) (2,-4)
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -4 - -2)/ ( 2-3)
= ( -4+2)/( 2-3)
= -2/ -1
= 2
Guys.... Help me find it... Wether it is true or false.. With reasons 1rst one is BRAINLIEST.... Only the one who gave with REASON
Answer:
false
Step-by-step explanation:
x/11 +1=7/15
x/11 =7/15 - 1
x/11 = -8/15
They are unequal .So, It is false
Answer:
C) False
D) True
Step-by-step explanation:
C. False
[tex] \frac{x}{11} + 1 = \frac{7}{15} = \frac{x}{11} = \frac{7}{15} + 1 = \frac{7 + 15}{15} = \frac{22}{15} [/tex]
We can see that they are never equal.
D. True
Both have 'x' and 'y' as they terms.
Hope this helps ;) ❤❤❤