Answer:
9.6
Step-by-step explanation:
Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed in a standard room for x nights and their total room charge is $750.
Answer:
3 nights
Step-by-step explanation:
total charge = rate times time interval
Here, time interval = total charge / rate
$750 = ($250/night)(n nights)
Solving for n, we get n = 3 (nights)
An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x = 750
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
The rate charged for a standard room is $250 dollars
A couple stayed in a standard room for x nights
Total room charge = $750
Equation = ?
Total charge = 250 × x
Total charge = 750
So,
250x = 750
Thus, an equation is 250x = 750
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A savings account earns 4% annual simple interest. The principal is $1,100. What is the balance after 5 years?
Answer:
$220
Step-by-step explanation:
4% of 1100=$44
$44 × 5 years=$220
if (a+b)+(a-b)i=7+2 find a and b
Answer:
a = 4.5
b = 2.5
Step-by-step explanation:
The question is incomplete.
Complete question
If (a+b)+(a-b)i=7+2i find a and b
Compare the terms on both sides
a+b = 7
a-b = 2
Add both equations
a+a = 7+2
2a = 9
a = 9/2
a = 4.5
Recall:.
a+b = 7
4.5+b = 7
b = 7-4.5
b = 2.5
Find the area of the parallelogram.
22 mm
11 mm
Answer:
I have no idea
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
A=bh
A=11x22
A=242 mm
Simplify (4x^2y)(3xy)(2xy)^3
A. 96x^4y^5
B. 96x^6y^5
C. 24x^4y^5
D. 24x^6y^5
Answer:
the answer is D
Step-by-step explanation:
hard to explain it with just words and not be able to show you step by step
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim
Answer:
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
Step-by-step explanation:
Given that :
Sample size, n = 900
p = 0.37
p0 = 0.34
H0 : p = 0.34
H1 : p > 0.34
Right tailed test:
Decision region:
Reject Null if ;
Zstatistic > Zcritical
Zcritical at α 0.02 = 2.05
Hence
Reject H0 : if Zstatistic > 2.05
Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)
= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)
= 1.8999
1.8999 < 2.05
Zstatistic < Zcritical
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
Noah raised $54 to support the animal shelter, which is 60% of his fundraising goals. Write an equation to represent the situation. (In your answer, write 60% as 60/100.)
Answer:
54 x 1.4 = 54 x 140/100 = 75 60/100
75.6
Step-by-step explanation:
If x = t^3 and y = t^2 - 2 , what is y in terms of x?
Answer:
E
Step-by-step explanation:
You have to get t^2 in the first equation.
x = t^3 Take the cube root of both sides
[tex]\sqrt[3]{x} = \sqrt[3]{t^3}[/tex]
[tex]\sqrt[3]{x}=t[/tex] Now square both sides
[tex](\sqrt[3]{x})^2 = t^2[/tex]
[tex]x^\frac{2}{3} = t^2[/tex]
Now you can substitute into the second equation
y = t^2 - 2
y = [tex]x^\frac{2}{3}[/tex] - 2
E
Medians and IQRs. For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning. (a) (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20 (b) (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9 (c) (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10 (d) (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.
What is median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.
The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.
(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20
Since all the values are identical except the highest, the distributions' median and IQR will be equal.
(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9
The median is higher for the second distribution because in the case of (2) the middle number is larger.
Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.
(c). (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10
Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.
Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.
(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.
Therefore, the reasoning is explained.
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The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and width.
Answer:
W=1 4/5 feet
L= 2 2/5 feet
Step-by-step explanation:
3L = 4W L = 4W/3
2L+2W = 8 2/5
Substitute L
2(4W/3)+2W = 8 2/5
8W/3+2W = 8 2/5
multiply both sides by 3
8W+6W = 24 6/5
14W = 25 1/5
Divide both sides by 14
14W/14 = (25 1/5)/14
W = (126/5)/14 = 9/5 = 1 4/5
Substitute for W
L = 4(1 4/5)/3
L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5
The perimeter is an enclosed area of any two or one-dimensional shape.
The perimeter of a rectangle is given by:
[tex]\rm P = 2 ( L + B )[/tex]
The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].
This can be calculated by:
Given,
Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]Let,
Length = LWidth = WSince,
3L = 4W
[tex]\rm L = \dfrac{4W}{3}[/tex]
Substituting the value of L in the equation of perimeter:
[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]
[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]
Now multiplying the left and right sides by 3 we get:
[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]
[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]
Now divide both sides by 14:
[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]
[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]
[tex]\rm W = 1 \dfrac{4}{5}[/tex]
Now substituting the value of W, length can be calculated:
[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]
[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]
[tex]\rm L = 2 \dfrac{2}{5}[/tex]
Therefore, length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].
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x less than two time x.
Answer:
x < 2x
Step-by-step explanation:
which is the correct description of how to find the volume of a cylinder
Answer:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Step-by-step explanation:
PLEASE HELP PLEASe!!!!
what does 3p equal to?
p= 1/3
please show your work and include the steps in doing it.
Im confused so please help thank you!
Answer:
1 just 1 i need 20 characters but ok
Explanation:
If p = 1/3, then 3p = 1 after multiplying both sides by 3
We can show the steps like this
3p = 3(p) = 3(1/3) = 3/3 = 1
b) A triangle-based prism
12.7 cm
8 cm
9 cm
9 cm
Volume:
Surface Area:
What is the volume and surface area
Answer:
Step-by-step explanation:
9²+9²=162
√162 ≈12.7
so base is a right angled triangle with sides 12.7,9,9
area of base and top=2×1/2×9×9=81 cm²
area of sides=(9+9+12.7)×8
=30.7×8=245.6 cm ²
total surface are =81+245.6=326.6 cm²
volume=1/2 ×9×9×8=324 cm³
an enrollment of 200 students and this year enrollment has increased by 118%. What is this year's enrollment ?
Answer:
436 students
Step-by-step explanation:
Original number of students enrolled = 200students
% increase = 118%
Increment = 118% of 200
Increment = 1.18 * 200
Increment = 236
The year enrollment = 200 + 236
The year enrollment = 436 students
-Ms. Gorman says, “Then victory won’t lie in the blade, but in all the bridges we’ve made.” What does she mean by ‘bridges?’
please help
Answer:
OH I love Amanda Gorman!
Step-by-step explanation:
f(x) = 200(1
Bhhhhhhhhhhh
Answer:
hgyt67rdjhhrgytr7ugjv. hgehalk4
Step-by-step explanation:
There are 8 marbles in a bag, all of different colors. In how many orders can 4 marbles be chosen? In other words, what is the
number of permutations of picking 4 marbles from the bag?
A
1680
B
70
С
40320
I got 70
Combination=n!/((n-r)!r!)
=8!/((8-4)!*4!)
=8*7*6*5*4!/(4!*4!)
=8*7*6*5/(4*3*2)
=70 ways
The flux hotel recently installed a triangular pool as shown below. If the hotel manager needs to order a cover for the pool and the cost is $35 per square foot, how much can he expect to spend?
Answer:
[tex]Total = \$6545[/tex]
Step-by-step explanation:
Given
[tex]Base = 17ft[/tex]
[tex]Height = 22ft[/tex]
[tex]Slant\ Height = 32ft[/tex]
[tex]Cost = \$35[/tex] per square ft
Required
Determine the expected spending
First, calculate the area of the pool.
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} * 17ft * 22ft[/tex]
[tex]Area = 17ft * 11ft[/tex]
[tex]Area = 187ft^s[/tex]
The total cost is:
[tex]Total = Cost * Area[/tex]
[tex]Total = 35 * 187[/tex]
[tex]Total = \$6545[/tex]
On a trip, a family travels 180 km in 2.5 h on the first day, 220 km in 4.4 h on the second day, and 88 km in 2.2 h on the third day. What was the average speed, in kilometers per hour, for the total trip?
Answer:
Step-by-step explanation:
180+220+88 = 488 km
2.5+4.4+2.2 = 9.1 h
(488 km )/(9.1 h) = (488/9.1 km)/h ≈ 53.6 km per hour
Slope of (-2,-1) and (2,-3)
SLOPE is the picture.
Point-Slope form is y+1=-1/2*(x+2)
The y=mx+b form is y=-1/2x-2
i hope its not confusing lol
please solve the question below
Answer:
x = 5.61
Step-by-step explanation:
Applying the knowledge of similarity between two figures, thus:
Height of flag : height of Tommy = shadow length of flag : shadow o
Length of Tommy
30:5.5 = (25 + x) : x
30/5.5 = (25 + x)/x
30×x = 5.5(25 + x)
30x = 137.5 + 5.5x
30x - 5.5x = 137.5
24.5x = 137.5
x = 137.5/24.5
x = 5.61 (nearest hundredth)
11.
8. The graph below shows the price Joanna
sells tomatoes according to their weight.
Write an equation for the graph.
h
H
Tomato Prices
12
10
Price (in dollars)
12
12.
Weight
(in pounds)
a. y = -x
6
10
b. y =
12
c.
=
d. y = x
Answer:
the question is invalid. please rewrite the question.
2 3
X 8 4
What’s the answer?
Answer:
1932
Step-by-step explanation:
Answer:
1932
...................
_:7 = 24 : 56
A.2 B.3 C.4 D.5
Answer:
The answer is 3 : 7 .
Hope it helped
All the best !!
please help with question
Answer:
70
Step-by-step explanation:
180 - (90) - (20)
90 - 20
70
Factor out the GCF from the terms of the polynomial 2x^3 − 5x^2 + 25.
Answer:
Step-by-step explanation:
The polynomial is already factored.
please help me solve this geometry problem:)
Given:
The endpoints of a line segment are (-5,12) and (-5,0).
To find:
The coordinates of a points which divides the line segment in 2:1.
Solution:
Section formula: If a point divides a line segment in m:n.
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Let point P divides the given line segment in 2:1. They, by using section formula, we get
[tex]P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)[/tex]
[tex]P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)[/tex]
[tex]P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)[/tex]
[tex]P=\left(-5,4\right)[/tex]
Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).
answer plz plz for brainleiest
Answer:
-.5
Step-by-step explanation:
Answer:
B=0.5 or 1/2
its correct please give brainliest!!!
What number is between 5/2 and the other number In the photo.
