Answer:
1.40f .
Step-by-step explanation:
One answer could be:
In March the house had f + 40% of f
= f + 0.40f
= 1.40f
Answer:
If the February snowfall is valued as fs, the snowfall in March with an additional 40% could be expressed as:
March snowfall = 1.4fsStep-by-step explanation:
In the exercise it is mentioned that the snowfall in March was 40% higher than in February, if you wanted to express it in a mathematical function it could be mentioned that:
March snowfall = February snowfall (fs) + 40% of February snowfall.What could be represented as:
March snowfall = fs + 0.4fsWhen calculating we would obtain:
March snowfall = 1.4fsfind the missing value in the ratio table. towels 14, 7, ? , blankets 8, ?, 16
Final answer:
The missing value in the ratio table is 16.
Explanation:
To find the missing value in the ratio table, we can look at the relationship between the given values. In this case, we have the ratios of towels to blankets. We can see that the ratio of towels to blankets is the same for each pair of values. So, we need to find a value that, when divided by 8, gives the same result as when 14 is divided by 7.
Let x be the missing value. We can set up the equation 14/7 = x/8. To solve for x, we can cross multiply: 14 * 8 = 7 * x. This gives us 112 = 7x. Dividing both sides by 7, we find that x = 16.
Therefore, the missing value in the ratio table is 16.
GETS BRAINILIST!!!!9.85 ÷ 1.25 = ______ Numerical Answers Expected! Answer for Blank 1:
Answer:
7.88
Step-by-step explanation:
Answer: 7,88
Explanation
Between 1:30 P.M. and 1:50 P.M.,40 gallons of water leaked into a boat.At what rate in gallon per hour was the water leaking in to boat?
Answer:
120 gallons per hour.
Step-by-step explanation:
Between 1:30 P.M. and 1:50 P.M., 40 gallons of water leaked into a boat.
We know, the (1: 50 P.M. - 1: 30 P.M.) = 20 minutes.
So, the time span is of 20 minutes and the amount of water leaked into is 40 gallons.
Therefore, the amount of water that will leak into the boat in 60 minutes is [tex]\frac{40 \times 60}{20} = 120[/tex] gallons.
So, the rate in gallons per hour of the leaking water is 120 gallons per hour. (Answer)
what is the answer to 3.4m+2.4m
Answer:
5.8m
Step-by-step explanation:
y=2x+3
y=−3x+3
What is the solution
Final answer:
The solution to the given system of equations is x=3 and x=-7. To find the solution, set the expressions for y equal to each other, combine like terms, and solve for x. Substitute the values of x back into one of the original equations to find the corresponding y value.
Explanation:
The solution to the given system of equations is x = 3 and x = -7.
To find the solution, we can set the expressions for y equal to each other:
2x + 3 = -3x + 3
Combine like terms:
5x = 0
Divide both sides by 5:
x = 0/5
x = 0
Substitute x = 0 back into either of the original equations to find the corresponding y value:
y = 2(0) + 3
y = 0 + 3
y = 3
The solution to the system of equations is (0, 3).
Divide nine by three then subtract two double the results
Answer:
2
Step-by-step explanation:
When n basketball uniforms are purchased, the cost, C, of each uniform is given by the equation.
C = 40n + 260
If the total cost of the teams uniforms is $860, how many uniforms were purchased? What property of equality is the first step to use when solving this equation?
A.
Addition property of equality; n = 8
B.
Division property of equality; n = 6
C.
Multiplication property of equality; n = 13
D.
Subtraction property of equality; n = 15
Answer:
D. Subtraction property of equality; n = 15
Step-by-step explanation:
Given equation that shows the cost of n basketballs uniforms,
C = 40n + 260
According to the question,
Total cost = $ 860,
⇒ 40n + 260 = 860
Using subtraction property of equality, subtract 260 on both sides,
⇒ 40n = 860 - 260
⇒ 40n = 600
Using division property of equality, divide both sides by 40.
⇒ n = [tex]\frac{600}{40}[/tex] = 15.
Hence, 15 uniforms were purchased.
i.e. Option D is correct.
Find two consecutive positive integers whose product is 552.
Answer:
The numbers are 23 and 24
Step-by-step explanation:
Let
x ----> the first positive consecutive integer
x+1 ----> the second positive consecutive integer
we know that
The product of the two consecutive positive integers is 552
so
The algebraic expression that represent this situation is
[tex]x(x+1)=552[/tex]
Convert to expanded form
[tex]x^2+x-552=0[/tex]
Solve the quadratic equation by graphing
The roots of the equation are
[tex]x_1=-24[/tex] ----> the number cannot be negative
[tex]x_2=23[/tex]
see the attached figure
therefore
[tex]x=23\\x+1=24[/tex]
The numbers are 23 and 24
To find two consecutive positive integers whose product is 552, set up the equation x(x + 1) = 552, expand and solve the quadratic equation.
Explanation:To find two consecutive positive integers whose product is 552, we can set up the equation x(x + 1) = 552, where x represents the smaller integer.
Expanding the equation, we get x^2 + x - 552 = 0. This is a quadratic equation, and we can solve it by factoring or using the quadratic formula.
Factoring the quadratic equation, we find that (x - 23)(x + 24) = 0. So the two consecutive positive integers are 23 and 24.
Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave? A x15=100/20 B x15=20/100 C 15x=20/100 D 20x=15/100
Answer:
B
Step-by-step explanation:
20% is 20 out of 100
and that's how you find out how much of a tip you should leave.
The proportion that would BEST represent how to find how much tip she should leave is x/15 = 20/100
Let the amount of tip h left be expressed as x
Given the following parameters
Bill for lunch = $15.00Tip = 20%To find the amount of tip Jennifer dropped;
Price of tip = 20% of 15
x = 20/100 * 15
x/15 = 20/100
Hence the proportion that would BEST represent how to find how much tip she should leave is x/15 = 20/100
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The cost of a babysitting on a cruise is 10 for the first hour, and 12 for each additional hour. If the total cost of baby Aaron was 58, how many hours was Aaron at the sitter?
Answer:
5 hours was Aaron at the sitter
Explanation:
Cost of baby sitting for the first hour: 10
Cost of baby sitting for additional hour= 12
Total cost of babysitting= 58
Since the cost of first hour is 10
Hence the remaining cost after first hour
= 54-10
=48
Which means 1 hour is consumed in the first hour
Now to calculate the remaining hours for every additional hour
= [tex]\frac{48}{12}[/tex]
=4 hours
Hence the total hour Aaron was with the sitter
= 1 hour + 4 hours
= 5 hours
write inverse of the given function [(5,3) (-2,4) (7,-2)
The inverse is: {(3,5), (4,-2), (-2,7)}
Step-by-step explanation:
In the inverse of a function, the output becomes input and the input becomes output i.e. the functions is reversed.
Given function is:
[(5,3) (-2,4) (7,-2)]
The order of elements in ordered pairs will be reversed. The second elements will be on first place and first element will be on second place.
So,
The inverse is: {(3,5), (4,-2), (-2,7)}
Keywords: Functions, inverse
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The inverse of the given function (5,3), (-2,4), (7,-2) is (3,5), (4,-2), (-2,7).
The inverse of a function is created by swapping each input-output pair.
For the given function with ordered pairs (5,3), (-2,4), and (7,-2), we can find the inverse by switching each pair's coordinates. This yields the inverse ordered pairs (3,5), (4,-2), (-2,7). Remember that the inverse function only exists if the original function is bijective, meaning each output is paired with exactly one input.
The population of Woodstock, GA is about 23,896 people, and the city encompasses
11.3 square miles. What is the population density of Woodstock?
211.47 people per square mile
Answer:
2114.7 people per square mile
Step-by-step explanation:
Population density can be calculated by dividing the total number of people by the area.
23,896 people ÷ 11.3 square miles
≈ 2114.7 people per square mile (rounded number)
Your answer is one decimal place off.
two airplanes are approaching an airport to land. the pilot of plane a records and angle of decent of 15 degrees. a person near the runwat finds the angle of elevation to plane b to be 15 degrees as well. are the two planes decending at the same angle?
Answer:
Yes,two planes descending at the same angle
Explanation:
Given the angle of deviation as seen by the pilot is equal to 15 degrees,
i.e the angle made by the line of sight with the ground is 15 degrees also the angle of elevation from a person at ground to the other plane is given to be equal to 15 degrees
which means the angle made by line of sight to plane and ground is equal to 15 degrees hence both of these situations refer to the same angle at a point and hence both planes are descending at the same angle.
Solve for c. a(c + b)=d
c=d − ab/b
c=d + ab/a
c=ab − d/a
c=d − ab/a
Answer:
c = (d - ab) / aStep-by-step explanation:
a(c + b) = d // We multiply a by c and b (addition is distributive)
ac + ab = d // We let the c addend in the left
ac = d - ab // We divide by a
c = (d - ab) / a
Answer: Hi Hi I know this is like a year late but I would like to be able to help future people with this question.
The correct answer is: c=d+ab/a (B)
Isolate the variable by dividing each side by factors that don't contain the variable.
I really hope this helps people, have a happy halloween :D
If f(x) = x - 5, then match each of the following.
Click the item in the left column. Use the plus sign to move it up or the minus sign to move it down until it matches the correct entry in the right column. Lock your answer in place by clicking the square beside the item. (A checkmark means it is locked.)
0 f(-1)
-4 f(0)
-5 f(1)
3 f(2)
-6 f(5)
-3 f(8)
Answer:
f(-1) = -6
f(0) = -5
f(1) = -4
f(2) = -3
f(5) = 0
f(8) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[Function] f(x) = x - 5
f(-1) is x = -1 for function f(x)
f(0) is x = 0 for function f(x)
f(1) is x = 1 for function f(x)
f(2) is x = 2 for function f(x)
f(5) is x = 5 for function f(x)
f(8) is x = 8 for function f(x)
Step 2: Evaluate
f(-1)
Substitute in x [Function f(x)]: f(-1) = -1 - 5Subtract: f(-1) = -6f(0)
Substitute in x [Function f(x)]: f(0) = 0 - 5Subtract: f(0) = -5f(1)
Substitute in x [Function f(x)]: f(1) = 1 - 5Subtract: f(1) = -4f(2)
Substitute in x [Function f(x)]: f(2) = 2 - 5Subtract: f(2) = -3f(5)
Substitute in x [Function f(x)]: f(5) = 5 - 5Subtract: f(5) = 0f(8)
Substitute in x [Function f(x)]: f(8) = 8 - 5Subtract: f(8) = 3was flying her model airplane. It took the airplane 5 seconds to go 90 feet. What was the average rate of speed of the model airplane, in feet per second
Answer:
The average rate of speed of the model airplane, per second is 18 feet.
Step-by-step explanation:
Given:
It took the model airplane 5 seconds to go 90 feet.
Now, to find the average rate of speed in feet per second.
So, in 5 seconds the airplane go to = 90 feet.
In 1 second the airplane go to = 90 ÷ 5 feet.
Therefore, by dividing 90 feet by 5 seconds we get = 18 feet.
Thus, the average rate of speed of the model airplane, per second is 18 feet.
Is mean absolute deviation a measure of center
measure of variation ?
or a
A. measure of center
B. measure of variation
The mean absolute deviation is a measure of variation in a dataset, not its center. It helps indicates how spread out the data is from the mean value.
Explanation:The mean absolute deviation is not a measure of center,instead, it is a measure of variation. The center of a data set is typically represented by measures like the mean, median, or mode. These describe the common, central value in the dataset.
Conversely, the mean absolute deviation is a statistical tool used for understanding the dispersion or variation in a set of values. It gives an average of the absolute differences between each data point and the mean of the data set. This helps identify how spread out the data is from the mean.
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The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 12 .
What is the equation of the hyperbola in standard form?
Answer:
The equation of the hyperbola in standard form is [tex]\frac{(x - 4)^2 }{ 9} - \frac{(y +2)^2}{2.25} = 1[/tex]
Step-by-step explanation:
Given:
Centre of the hyperbola=(−2,4)
one vertex of the hyperbola= (−2,7) .
slope of the asymptote = 12
To Find:
The equation of the hyperbola in standard form=?
Solution:
W know that the standard form of hyper bola is
[tex]\frac{(x - h)^2 }{ a^2} - \frac{(y - k)^2}{ b^2} = 1[/tex]............................(1)
where
(h,k) is the centre
(x,y) is the vertex of the parabola
a is the length between the centre and the vertices of the hyperbola
b is the distance perpendicular to the transverse axis from the vertex to the asymptotic line
Now the length of a is given by
a=|k-y|
a=|4-7|
a=|-3|
a=3
Also we know that,
Slope =[tex]\frac{a}{b}[/tex]= 2
=>[tex]\frac{3}{b}=2[/tex]
=>[tex]\frac{3}{2}=b[/tex]
=>b=1.5
Now substituting the known values in equation(1)
[tex]\frac{(x - 4)^2 }{ 3^2} - \frac{(y - (-2)^2}{ 1.5^2} = 1[/tex]
[tex]\frac{(x - 4)^2 }{ 9} - \frac{(y +2)^2}{2.25} = 1[/tex]
Answer:
[tex]\frac{(x+2)^{2}}{1296} - \frac{(y-4)^{2}}{9} = 1[/tex]
Step-by-step explanation:
The standard form of a hyperbola centered at a point distinct from origin has the following form:
[tex]\frac{(x-h)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
The distance between the center and the vertex is:
[tex]b = \sqrt{[(-2)-(-2)]^{2}+(7-4)^{2}}[/tex]
[tex]b = 3[/tex]
The value of the other semiaxis is:
[tex]\frac{a}{b} = 12[/tex]
[tex]a = 12\cdot b[/tex]
[tex]a = 36[/tex]
The standard equation of the hyperbola is:
[tex]\frac{(x+2)^{2}}{1296} - \frac{(y-4)^{2}}{9} = 1[/tex]
What is the slope of the line passing through (0, 5) and (-12, 2) ? Enter your answer in the box.
Final answer:
The slope of the line passing through (0, 5) and (-12, 2) is calculated using the slope formula and is found to be 1/4.
Explanation:
The slope of the line passing through the points (0, 5) and (-12, 2) can be calculated using the formula slope (m) = (rise)/(run), where 'rise' is the change in the y-values and 'run' is the change in the x-values. To find the slope, we subtract the y-value of the second point from the y-value of the first point and divide by the subtraction of the x-value of the second point from the x-value of the first point: m = (5 - 2) / (0 - (-12)) = 3 / 12 = 1/4. Therefore, the slope of the line is 1/4.
Find the circumference and area of a circle with diameter 6 inches. Use 3.14 for pi.
(need answer asap please)
Andrew’s math teacher entered the seventh-grade students in a math competition. There was an enrollment fee of $30 and also an $11 charge for each packet of 10 tests. The total cost was $151. How many tests were purchased?
use a tape diagram to solve and if-then statement
Answer:
p=11 packets were purchased
Step-by-step explanation:
30+11p=151
11p=121
then
121/11
so
p=11
Hope I understood the question :/
Answer:
Step-by-step explanation:
I believe the correct answer is that Andrew's Math Teacher purchased 11 packets of 10 tests each, meaning that the total number of test would be 110. I got this by subtracting the $30 entrance fee from the $151. After doing this we are left with $121. I then divided the $121 by the cost per packet and I was left with 11 packets. Since every packet contains 10 tests I multiplied that by the number of packets to get the final answer... 110 tests purchased.
4) Arnold ate breakfast at a restaurant. His total came to $76.75. There is an 8% sales tax and 15% tip. What is Arnold's total cost? Show all your work and label all your answers.
all your answers.
Answer:
The total cost is $95.32.
Step-by-step explanation:
Given:
Total came to $76.75. There is an 8% sales tax and 15% tip.
Now, to find the total cost.
8% sales tax is there so we calculate the amount after adding sales tax:
$76.75 + 8% of $76.75
[tex]76.75+\frac{8}{100}\times 76.75[/tex]
[tex]76.75+0.08\times 76.75[/tex]
[tex]76.75+6.14[/tex]
[tex]82.89[/tex]
The cost after sales tax is $82.89.
Now, the cost after 15% tip:
$82.89 + 15% of $82.89
[tex]82.89+\frac{15}{100}\times 82.89[/tex]
[tex]82.89+0.15\times 82.89[/tex]
[tex]82.89+12.43[/tex]
[tex]95.32[/tex]
The cost after the tip is $95.32.
Therefore, the total cost is $95.32.
Molly and George earned 352 points together. Molly has half the number of points as George. Which equation could represent this situation? Let g represent the number of points George earned.
A. g+2g =352
B. g+1/2g =352
C. g+g/2 =352
D. 1/2g = 352
Answer: A. g+2g =352
Step-by-step explanation:
Let points : g
If molly has half of George then let
Let molly : 1
Let George: 2
Therefore g*1 =g
And g*2 = 2g
So, g+2g = 352
how do I do this PLEASE HELP ME!!!!
Answer:
23 quarters and 12 dimes
Step-by-step explanation:
Evaluate the expression below (5.2+6.3) - 12 ÷ 2.5
Answer:6.7
Step-by-step explanation:5.2+6.3=11.5 then you do -12 divided by 2.5 and get -4.8 then you add the answers together but that won’t work because different signs subtract and you get positive 6.7
To evaluate the expression (5.2+6.3) - 12 ÷ 2.5, you first perform the division. Then, substitute the result and add the numbers inside the parentheses. Finally, subtract the result from the addition.
Explanation:To evaluate the expression (5.2+6.3) - 12 ÷ 2.5, we start by performing the division. 12 ÷ 2.5 equals 4.8. Now, we substitute this result into the expression, so the expression becomes (5.2+6.3) - 4.8. Next, we add the numbers inside the parentheses together, giving us 11.5. Finally, we subtract 4.8 from 11.5, resulting in 6.7.
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10. A toy store received a shipment of 17 cases of
teddy bears. Use compatible numbers to estimate
the total number of teddy bears in the shipment.
estimate
12 bears per case
Answer:
17 × 12 = 204 teddy bears
Step-by-step explanation:
17 cases, 12 bears in each case
trigonometry problem
Answer:
The values are x = 0° or x = 60°
Step-by-step explanation:
Given:
[tex]\cos x + \frac{1}{\sqrt{3} }\times \sin x = 1[/tex]
Let it be in the form of
[tex]a\cos x + b\sin x = 1[/tex] such that
a = 1
[tex]b=\frac{1}{\sqrt{3} }[/tex]
We have
[tex]\sqrt{(a^{2}+b^{2} )}=\sqrt{(1^{2}+(\frac{1}{\sqrt{3} }) ^{2} )}\\=\sqrt{\frac{4}{3}}\\=\frac{2}{\sqrt{3} }[/tex]
Now, Dividing both the side by [tex]\frac{2}{\sqrt{3} }[/tex] we get
[tex]\frac{\sqrt{3} }{2}\cos x + \frac{1}{2}\sin x =\frac{\sqrt{3} }{2}\\[/tex]
We Know
[tex]\sin 60 =\frac{\sqrt{3} }{2}\\and\\\cos 60 = \frac{1}{2}[/tex]
Now by replacing with above values we get
[tex]\sin 60\times \cos x + \cos 60\times \sin x = \frac{\sqrt{3} }{2}\\[/tex]
Also we have formula
[tex]\sin A\times \cos B + \cos A\times \sin B = \sin (A+B)[/tex]
By applying the above Formula we get
[tex]\sin (60+x)=\frac{\sqrt{3} }{2}\\[/tex]
Also ,
[tex]\sin (60)=\frac{\sqrt{3} }{2}\\and\\\sin (120)=\frac{\sqrt{3} }{2}[/tex]
Comparing we get
60 + x = 60 or 60 + x = 120
∴ x = 0° ∴ x = 120 - 60 = 60°
Therefore, the values are x = 0° or x = 60° i.e between 0° to 360°
A metal stud for a warrior costume is in the shape of a square pyramid. The stud does not have a base.
how much metal is needed to make the stud?
Answer:
D
Step-by-step explanation:
Kayla works for 7 hours at $10.25 per hour. How much does he earn?
Please PLEASE PLEASE ANSWER!! I will make you brainliest if you show how you got the answer also :)
Multiply the number of hours worked by how much is made per hour:
7 hours x $10.25 per hour = $71.75 total
so it's 71.76 all i did was multiply 7 x 10.25 which equals 71.76
Wich is longer? A cabinet that is 3/4s foot or a shingle that is 2/3s foot? How much longer?
Answer:
The cabinet is longer by 1/12 foot.
Step-by-step explanation:
3/4 x 3/3 = 9/12
2/3 x 4/4 = 8/12