Answer:
5 days
Step-by-step explanation:
You subtract $610 from $1800. You should get 1190.
Then divide 1190 with 238.
The answer you get should be 5.
Answer:
5 days
Step-by-step explanation:
Manori’s bag has 10cent and 20cent coins. She has 202 coins with a total value of $31.90. How many 20cent coins does manori have?
a = 85 10cent coins
b = 117 20cent coins
Step-by-step explanation:a = 10c coins
b = 20c coins
$31.90 = c3190
a + b = 202 => a = 202 - b
10a + 20b = 3190
10(202 - b) + 20b = 3190
2020 - 10b + 20b = 3190
10b = 3190 - 2020
10b = 1170
b = 117 (20cent coins)
a = 202 - 117
= 85 (10cent coins)
write an expression for each sentence
1. The sum of the square of a number and a second number.
2. Three times the difference of a number and seven.
3. 9.85 less then the product of 37 and a number.
Answer:
x^2+y3(n-7)37x-9.85Step-by-step explanation:
1. If x represents a number, then x^2 represents its square. If y represents a second number, then the sum of that square and the second number is ...
x^2 + y
__
2. The difference of a number (n) and 7 is (n-7). Three times that difference is ...
3(n - 7)
__
3. If x represents a number, then the product of 37 and a number is 37x. 9.85 less than that is ...
37x - 9.85
Simplify the following expression and put in standard form:
(4x – 5x2) + (3x4 – 4x + 2) – (62° + 1)
Which of the following is not an undefined term?
point
ray
line
plane
Answer:
ray
Step-by-step explanation:
ray is the answer because it starts with a startline but has no endpoint so it goes on for infinity.
if there are two numbers on one side, do i have to add them together?
Answer:
YES
Step-by-step explanation:
For example, in the figure displayed in the attachment, the length of [tex] YM = MS + SY [/tex]
[tex] MS = 3 [/tex]
[tex] SY = 10 [/tex]
Therefore, [tex] YM = 3 + 10 = 13 [/tex].
The lengths of segments MS and SY sums up to give you the length of YM.
Use Stokes' Theorem to calculate . F = 5yi + 7xj + z3k; C: the counterclockwise path around the perimeter of the triangle in the x-y plane formed from the x-axis, y-axis , and the line y = 5 - 2x (Hint: n = k)
Answer:
hello your question is incomplete attached is the complete question
answer : 25/2 ( A )
Step-by-step explanation:
using Stokes' Theorem to calculate
F = 5yi + 7xj + [tex]z^3 k[/tex]
line y = 5 - 2x
attached below is the remaining part of the solution to the question
The salaries of 235 nurses were recorded and analyzed. The analyst later found that the highest salary was incorrectly recorded as 10 times the actual amount. After the error was corrected, the report showed that the corrected value was still higher than any other salary. Which sample statistic must have changed after the correction was made? mean median (know it is not this) mode minimum
The correct answer is A. Mean
Explanation:
In the analysis of numerical data, means refers to the average value. This is found by adding all the values, in this case, all the salaries and then dividing the total by the total of values, in this case, 235. This sample statistic is affected by each of the values that are added, due to this, if a value changes or was corrected, the mean needs to be revised. Also, this does not occur in the case of the minimum (lowest value), the median (value in the middle), or in the mode (most frequent value.)
In your gym class, your teacher can create teams of 4 for a
relay race and have no students left over. The next day, your
teacher creates teams of 5 for dodge ball and has no
students left over. What are some possible numbers of
students in your class?
Answer: 20, 40, 60, 80, 100,....
Step-by-step explanation:
Given that :
It is possible to create teams of 4 for a relay race with no student leftover
Also,
It is possible to create teams of 5 for dodgeball with no student left over from the same class
To deduce the possible number of students in the class, then the number of students should be a multiple of both 4 and 5
Multiples of 4 include = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100,....
Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100,....
Multiples common to both 4 and 5 : 20, 40, 60, 80, 100,....
OMG HELP PLEASE!!!!!!!!!!
Answer:
Step-by-step explanation:
Hello, please consider the following.
We will multiply the numerator and denominator by
[tex]3-\sqrt{3}[/tex] to get rid of the root in the denominator.
Let's do it!
[tex]\begin{aligned}\dfrac{\sqrt{12}}{\sqrt{3}+3}&=\dfrac{\sqrt{2^2*3}*(3-\sqrt{3})}{(3+\sqrt{3})*(3-\sqrt{3})}\\\\&=\dfrac{2\sqrt{3}*(3-\sqrt{3})}{3^2-\sqrt{3}^2}\\\\&=\dfrac{2\sqrt{3}*(3-\sqrt{3})}{9-3}\\\\&=\dfrac{2\sqrt{3}*(3-\sqrt{3})}{6}\\\\&=\dfrac{6\sqrt{3}}{6}-\dfrac{2*3}{6}\\\\&=\sqrt{3}-1\\\\\large &\boxed{=-1+\sqrt{3}}\\\end{aligned}[/tex]
Thank you
Step-by-step explanation:
Here,
[tex] = \frac{ \sqrt{12} }{ \sqrt{3} + 3} [/tex]
is given.
Now, rationalizing it,
[tex] = \frac{ \sqrt{12} }{ \sqrt{3} + 3} \times \frac{ \sqrt{3} - 3 }{ \sqrt{3} - 3} [/tex]
now, simplifying it,
[tex] = \frac{ \sqrt{12 } \times \sqrt{3 } - 3 }{( { \sqrt{3} )}^{2} - 9} [/tex]
or, simplifying it we get,
[tex] = \frac{3}{ - 6} [/tex]
= 1/ -2
Hope it helps...
solve:
[tex]\underset{x\rightarrow~3}{\lim}~\dfrac{2x^2-18}{x^2-3x}[/tex]
Hello, please consider the following.
[tex]\displaystyle \lim_{x\rightarrow3}~\dfrac{2x^2-18}{x^2-3x} \\ \\ \\ =\lim_{x\rightarrow3}~\dfrac{2(x^2-3^2)}{x(x-3)} \\ \\ \\ =\lim_{x\rightarrow3}~\dfrac{2(x-3)(x+3)}{x(x-3)} \\ \\ \\ =\lim_{x\rightarrow3}~\dfrac{2(x+3)}{x} \\ \\ \\=\dfrac{2(3+3)}{3}\\ \\ \\=\dfrac{2*3*2}{3} =\Large \boxed{\sf \bf \ 4 \ }[/tex]
Thank you
[tex]\\ \tt\longmapsto {\displaystyle{\lim_{x\to 3}}}\dfrac{2x^2-18}{x^2-3x}[/tex]
[tex]\\ \tt\longmapsto {\displaystyle{\lim_{x\to 3}}}\dfrac{2(x^2-9)}{x^2-3x}[/tex]
[tex]\\ \tt\longmapsto {\displaystyle{\lim_{x\to 3}}}\dfrac{2(x^2-3^2)}{x^2-3x}[/tex]
(a+b)(a-b)=a^2-b^2[tex]\\ \tt\longmapsto {\displaystyle{\lim_{x\to 3}}}\dfrac{2(x+3)\cancel{(x-3)}}{x\cancel{(x-3)}}[/tex]
[tex]\\ \tt\longmapsto {\displaystyle{\lim_{x\to 3}}}\dfrac{2x+6}{x}[/tex]
[tex]\\ \tt\longmapsto \dfrac{2(3)+6}{3}[/tex]
[tex]\\ \tt\longmapsto \dfrac{6+6}{3}[/tex]
[tex]\\ \tt\longmapsto \dfrac{12}{3}=4[/tex]
alicia rides her bike 4 miles due north and 3 miles due west to a playground. What is the shortest distance to alicias home from the playground
Answer:
5 miles.
Step-by-step explanation:
We would be using the Pythagoras Theorem to solve for this.
I have attached a diagram to better help you to better understand my explanation this.
The shortest distance from her playground to her house = Hypotenuse
Pythagoras Theorem for a triangle =
c² = a² + b²
Where c = Hypotenuse
a = 3 miles due west
b = 4 miles north
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 miles
Therefore, the shortest distance to Alicia's home from the playground is 5 miles.
need halp solving this step by step to further understand. please and thank you!
Answer:
w=6
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
4 3
----- = --------
8 w
4w = 3*8
4w = 24
Divide by 4
4w/4 = 24/4
w = 6
Answer:
As hard as this may seem, it's actually quite simple. Because these two figures are similar, their sides can be compared.
See how on the left side of both of the triangles the numbers are 4 and 8? This shows that the left triangle is twice as small as the right one, which means that if you multiply any of the sides of the triangle on the left by 2, you'll get the triangle on the right.
We can apply this to w. Look at the left triangle on the bottom and see how there is a 3. Well, we've already noticed how the triangle on the left just needs to be multiplied by 2 in order to get to the one on the right, so that's what we should do! When you multiply 3 by 2, you get 6 which is w.
So, long answer short, w is 6.
Triangle ABC is a right triangle. The sides measure AB = 6 and BC = 8. Use the
Pythagorean theorem to find CA.
Answer:
AC = 10 units
Step-by-step explanation:
From the picture attached,
Triangle ABC is a right triangle.
Opposite side of the right angle B = Hypotenuse (AC)
and the other two legs are AB and BC
Pythagoras Theorem states
(hypotenuse)² = (leg 1)² + (leg 2)²
AC² = AB² + BC²
AC² = (6)² + (8)²
AC² = 36 + 64
AC² = 100
AC = √100
AC = 10
Therefore, length of the hypotenuse (AC) = 10 units will be the answer.
please help! Please explain as well!!!!
Answer:
value of the variable: 3/2
perimeter: 84 feet
Step-by-step explanation:
Let's find the value of the variable first:
It is a square, so all 4 sides are the same (have the same length)
This means, 3(2f + 4) = 12f + 3
Simplify it,
6f + 12 = 12f + 3
6f = 9
f = 3/2
So, the variable f = 3/2!
Let's find the perimeter:
First, we find the value of one side of the square
12f + 3 is a side
because f = 3/2, we know that the one side of a square is 18 + 3 ft, which is 21 ft
Like I said, all 4 sides are the same in a square, so we can just calculate the length of 1 side, and multiply it by 4!
so 21 * 4 = 84!
The perimeter of this square is 84 feet!
I hope this helps! Please tell me if I did anything wrong, thank you and have a great day =D
Define the following sequence recursively: 4, 4/3, 4/9, ....
Answer:
Step-by-step explanation:
[tex]a_n=\frac{1}{3} a_{n-1}[/tex]
Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.
a. y = 5x + 28
c. y + 2 = 5(x + 6)
b. y = -5x + 28
d. y - 2 = 5(x - 6)
Answer:
y=ax+b
y=5(-6)+28=-2
a
which equation is equivalent to the given equation? x^2+16x=22
Answer:
[tex](x+8)^2 = 86[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 16x = 22[/tex]
Required
Determine an equivalent equation
[tex]x^2 + 16x = 22[/tex]
Get the coefficient of x
[tex]Coefficient = 16[/tex]
Divide this by 2
[tex]Result = \frac{16}{2}[/tex]
[tex]Result = 8[/tex]
Take its square
[tex]Result = 8^2[/tex]
[tex]Result = 64[/tex]
Add this to both sides of the equation
[tex]x^2 + 16x + 64 = 22 + 64[/tex]
[tex]x^2 + 16x + 64 = 86[/tex]
Expand the expression on the right hand side
[tex]x^2 + 8x + 8x + 64 = 86[/tex]
Factorize
[tex]x(x+8)+8(x+8) = 86[/tex]
[tex](x+8)(x+8) = 86[/tex]
[tex](x+8)^2 = 86[/tex]
Hence, the equivalent equation is [tex](x+8)^2 = 86[/tex]
The manufacturer wants to estimate the proportion of their cars that get over 100 mpg. Their sample of 30 indicates that 28% can obtain over 100 mpg. Construct a 95% confidence interval for the population proportion.
Answer:
The 95% confidence interval is [tex]0.1193 < p <0.4407[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]m = 30[/tex]
The sample proportion is [tex]\r p = 0.28[/tex]
Given that the confidence interval is 95% then the level of significance is mathematically represented as
[tex]\alpha = 100 - 95[/tex]
[tex]\alpha = 5\%[/tex]
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of the [tex]\frac{\alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{ \alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{ \alpha }{2} } * \sqrt{\frac{ ( \r p (1 - \r p ))}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{ (0.28 (1 - 0.28 ))}{ 30} }[/tex]
=> [tex]E = 0.1607[/tex]
The 95% confidence interval is
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.28 - 0.1607 < p < 0.28 + 0.1607[/tex]
=> [tex]0.1193 < p <0.4407[/tex]
The area of a rectangular parking lot is represented by A = 6x^2 − 19x − 7 If x represents 15 m, what are the length and width of the parking lot?
=====================================
Work Shown:
Multiply the first coefficient (6) and the last term (-7) to get -42. We need to find factors of -42 that add to -19
Turns out that those two numbers are -21 and 2, which you find by trial and error.
-21 * 2 = -42
-21 + 2 = -19
Break up -19x as -21x+2x and use the factor by grouping method
6x^2 - 19x - 7
6x^2 - 21x + 2x - 7
(6x^2 - 21x) + (2x - 7)
3x(2x - 7) + 1(2x - 7)
(3x+1)(2x-7)
The factorization represents the length*width, since this product is equal to the rectangle's area.
----------------------
Plug x = 15 into each factor
3x+1 = 3*15+1 = 46
2x-7 = 2*15-7 = 23
The length and width are 46 and 23
Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of 214 square feet. To the nearest tenth of a foot, how long can a side of his garden be?
Answer:
14.6 feet
Step-by-step explanation:
Let A be the area of a square and S be the length of one of its sides.
The area of a square is A = S². We know A = 214 in this problem, so:
214 = S²
√214 = S
S ≈ 14.629 ≈ 14.6 feet (to the nearest tenth of a foot)
Zamba has found a little black dress on sale for 50% off the original price of $239.99. She also has a coupon offering free shipping and an additional 10% off of her entire online purchase. If she buys the dress and a pair of shoes costing $34.70, how much will she pay for her ensemble?
108.00
$139.23
$94.23
$104.70
Answer: $139.23
Step-by-step explanation: Take 50% of original dress price and add price of shoes. Subtract 10% of that.
c) Chairs are placed in equal rows and column of a squared room. If there are 144 chairs in the room, how many chairs are there in the first row?
Answer:
12
Step-by-step explanation:
144 chairs in total.
the room is square, this means that the number must be multiplied by the same number
12x12= 144
there are 12 chairs on the first row.
To attend a field trip, a person must be at least 10 years old. which graph best represents this situation?
Answer:
(b
Step-by-step explanation:
the line graph is showing this: x<10
Answer:
Option H (the third option)
Step-by-step explanation:
A person must be at least 10 years old.
Let the person's age be x years
therefore, he has to be x≥ 10 (the person's age has to be equal or more than 10 )
20 points! Jason is 22, which is 6 years older than twice his sister Taylor’s age. How old is Taylor? Enter your answer in the box.
Answer:
8
Step-by-step explanation:
Jason = 22
Taylor = x
2x + 6 = 222x = 22 -62x = 16x = 16/2x= 8Taylor is 8
write another name for AE ? need asap
Answer:
EA, or s
Step-by-step explanation:
The line AE could also be named any of the following:
AC, EC, CE, CA, EA
If you’re only looking at the line segment AE, the only option is:
EA
Since I don’t know whether you need the line or line segment, you might want go with EA since it’s on both lists. It could also be line s.
Dave tried to evaluate 55 – 15 + 20 step-by-step.
55 - 15 + 20
Step 1: =40 + 20
Step 2: = 20
Find Dave’s mistake
Choose 1 answer:
A: step 1
B: step 2
C: Dave did not make a mistake
Answer:
Step 2
Step-by-step explanation:
In step 2 the expression was 40+20 which would have been 60 but he might have thought addition sign was subtraction so he did 40-20 which is 20 so he is wrong made mistake in step 2
can someone please help me
Problem 6, part c)
The tickmarks indicate the sides are the same length. This triangle is isosceles.
The two base angles are always opposite the congruent sides. One base angle is 25, so the other base angle must be 25 as well (base angles are congruent for isosceles triangles).
The three angles of this triangle are
25, 25 and 4x+2
Add those three angles up, set the result equal to 180, and solve for x
4x+2+25+25 = 180
4x+52 = 180
4x = 180-52
4x = 128
x = 128/4
x = 32 is the answer====================================================
Problem 7, part a)
We use the same idea as with the last problem above. This works because this triangle is also isosceles (due to the tickmarks).
The three angles of this triangle are
(4x+1), (4x+1) and (5x-4)
note how (4x+1) shows up twice because it is a base angle
Add up those angles and set it equal to 180 to solve for x
(4x+1) + (4x+1) + (5x-4) = 180
13x - 2 = 180
13x = 180+2
13x = 182
x = 182/13
x = 14
Using this x value, we can find angle F
angle F = 5x-4
angle F = 5*14-4
angle F = 70-4
angle F = 66 degrees is the answer====================================================
Problem 7, part b)
We'll use the x value found back in part a) above.
angle D = 4x+1
angle D = 4*14+1
angle D = 56+1
angle D = 57 degrees is the answerAngle E is also 57, since D and E are congruent base angles
note how D+E+F = 57+57+66 = 180 to help confirm our answers
PAPER II
Q1. Solve the equation 2r2 - 11r - 21 = 0.
Give the answer
Answer:
The values of r = -3/2 ,7
Step-by-step explanation:
2r2 - 11r - 21 = 0.
The is a quadratic equation in the form
2r²-11r -21= 0
Let's determine the value of r using factorization method
2r² -14r +3r -21= 0.
2r(r-7)+3(r-7)= 0
(2r+3)(r-7)= 0
2r+3= 0
2r= -3
r= -3/2
And
r-7= 0
r= 7
The values of r = -3/2 ,7
Simplify the expression to a polynomial in standard form:
(x + 3)(2x^2+ 3x + 7) PLEASEEE HELP ME WITH THISS
Answer:
[tex]2x^3+9x^2+16x+21[/tex]
Step-by-step explanation:
So we have the expression:
[tex](x+3)(2x^2+3x+7)[/tex]
Use the distribute property. Multiply each term on the right by (x+3):
[tex](2x^2)(x+3)+(3x)(x+3)+(7)(x+3)[/tex]
Distribute further:
[tex]=(2x^3+6x^2)+(3x^2+9x)+(7x+21)[/tex]
Combine like terms:
[tex]=(2x^3)+(6x^2+3x^2)+(9x+7x)+21\\=2x^3+9x^2+16x+21[/tex]
A polynomial in standard form has terms in descending order based on degree.
And we have that. Thus, we are done :)
Find an equation for the plane y=4x in cylindrical coordinates. (Type theta for θ in your answer.)
Answer:
sinθ - 4cosθ = 0Step-by-step explanation:
Given the equation of a plane in rectangular coordinates to be y = 4x.
The cylindrical coordinates of the axis is as given below;
x = rcosθ
y = rsinθ
z = z
Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;
y = 4x
rsinθ = 4( rcosθ)
rsinθ = 4rcosθ
sinθ = 4cosθ
sinθ - 4cosθ = 0
Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0
The equation of the plane y=4x in cylindrical coordinates is, [tex]sin\theta-4cos\theta=0[/tex]
Equation of plane:To find the equation of plane in cylindrical coordinates,
We have to substitute ,
[tex]x=rcos\theta\\\\y=rsin\theta\\\\z=z[/tex]
Given equation of plane is, [tex]y=4x[/tex]
Substitute values in equation of plane.
[tex]rsin\theta=4(rcos\theta)\\\\sin\theta=4cos\theta\\\\sin\theta-4cos\theta=0[/tex]
Learn more about the equation of plane here:
https://brainly.com/question/8629643