Answer:
B
Step-by-step explanation:
Total money spent = 25 + 30 + 10 + 8 = 73
Per week = 73 / 4 = 18.25
If the value of a home is assessed at $110,000, and the homeowner pays property tax at a rate of 25 mills, how much would the homeowner have to pay in property tax each year?
$2,500
$3,125
$1,100
$2,750
Using proportions, it is found that the homeowner would have to pay $2,750 in property tax each year.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax at a rate of 25 mills means that for each $1,000 in value of the home, he pays $25 in taxes. Hence, for a home of value of $110,000, the amount he pays in taxes is given by:
A = 110 x 25 = $2,750.
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What is the measure of AC?
Answer:
The measure of a minor arc is less than 180° , and equal to the measure of the arc's central angle . A major arc is the longer arc connecting two endpoints on a circle. The measure of a major arc is greater than 180° , and equal to 360° minus the measure of the minor arc with the same endpoints.
Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
if it's diameter is 19, then its radius must be half that, or 9.5.
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3[/tex]
find X if X is equal to 9x=6
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
[tex]\textsc{heya!}[/tex]
[tex]\square\!\!\!\!\checkmark[/tex]what we need to do:
find x if 9x=6[tex]\square\!\!\!\!\!\checkmark[/tex] what we are provided with:
9x=6[tex]\textsc{solution:}[/tex]
[tex]\bold{x=\frac{2}{3}}[/tex][tex]\textsc{explanation:}[/tex]
divide both sides by 9; after performing this operation, we obtain:
[tex]\bold{x=\frac{6}{9}}[/tex]
divide top & bottom by 3; we obtain the solution
[tex]\bold{x=\frac{2}{3}}[/tex]
[tex]\textsc{hopefully\;helpful!}[/tex]
by: [tex]^da_n^cIn_g}[/tex]
have a great rest of your day ahead ~ = )
~
Find the solution to the system of equations by
using
substitution.
y = -2x + 13
4x + 8y = 20
Answer:
the solution is (7,-1)
Step-by-step explanation:
if you dont trust your boy look below
4x + 8(-2x+13)=20
4x -16x + 104 = 20
-12x + 104 *-104* = 20 -104
-12x/-12 = -84/-12
x = 7
y = -2(7) + 13
y = -14 + 13
y = -1
Describe how the product of 0.4 x 2 would look on a ten-square grid.
The product would have____
squares shaded out of 10.
Explanation:
Draw out a 10 squares.
Shade in 4 of them to represent 4/10 = 0.40 = 0.4
Then use another color to shade another 4 squares. You should have 4+4 = 8 squares shaded, out of 10 total, giving 8/10 = 0.80 = 0.8
This is one visual way to see how 0.4 x 2 = 0.8
In other words, 0.4 x 2 means we have two copies of 0.4 added together. You could write it as 0.4 x 2 = 0.4 + 0.4 = 0.8 if you wanted.
See the diagram below.
Situation:
A 8 gram sample of a substance that's a
by-product of fireworks has a k-value of
0.1001.
N = Noe-kt
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
The half life of the substance is 6.92 days.
What is the Half life ?Half life can be defined as the time required to reduce the concentration to half of its initial value.
Here the equation given is
[tex]\rm N = N_o e^{-kt}[/tex]
The concentration will reduce to half therefore
[tex]\rm N= \dfrac{N_o}{2}[/tex]
so,
[tex]\rm 39/2 = 39 e^{- 0.1001 * t_{1/2}}[/tex]
ln 0.5 = - 0.1001 * t(1/2)
-0.693 = -.1001 * t(1/2)
t(1/2) = 6.92 days.
Therefore the half life of the substance is 6.92 days.
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-9x²(x²+2x²y - 3y²)
Simplify
−9x^4−18x^4y+27x^2y^2
HAVE A NICE DAY!Answer:
=−18x^4y−9x^4+27x^2y^2
Step-by-step explanation:
(−9x^2)(x^2+2x^2y−3y^2)
=(−9x^2)(x^2+2x^2y+−3y^2)
=(−9x^2)(x^2)+(−9x^2)(2x^2y)+(−9x^2)(−3y^2)
=−9x^4−18x^4y+27x^2y^2
=−18x^4y−9x^4+27x^2y^2
---
Hope I helped! Have a great day :)
find the size of an angle which is five times its supplement
Two supplementary angles when addd together equal 180.
let one angle = x
The second angle is 5 times that so would be 5x
x + 5x = 180
Simplify:
6x = 180
Divide both sides by 6:
X = 30
One angle is 30, the second angle would be 150
The answer is 150
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side length.
What is the lateral area of the prism?
12x square inches
12x2 square inches
36x square inches
36x2 square inches
The area of the prism is 12x² inches². Thus, the correct option is B.
What is a triangular prism?Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.
Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.
For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,
Lateral Area = 3(x×4x) = 12x² inches²
Hence, the area of the prism is 12x² inches². Thus, the correct option is B.
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Suppose a square pyramid has a height of 5 meters and a base whose area is 36 square meters.
Explain how to determine the slant height of the pyramid.
The slant height can be found using Pythagoras theorem, the slant height is the hypotenuse side of the pyramid. Therefore, slant height = √34 meters
How to find the slant height of a pyramid?The base of the pyramid is a square.
Therefore,
area of a square = l²
where
l = side lengthhence,
area of the base = l
36 = l²
l = √36
l = 6 meters
Therefore, using Pythagoras theorem,
l² = 5² + 3²
l² = 25 + 9
l² = 34
l = √34 meters
slant height = √34 meters
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Math need help please
Answer:
none
Step-by-step explanation:
4x - 6 = 2(2x + 3)
4x - 6 = 4x + 6
Everything cancels out meaning there are no real solutions
please help me I'm almost done
Answer:
[tex]\mathsf {SA = 112 in.^{2} }[/tex]
Step-by-step explanation:
[tex]\textsf {Formula used :}\\\implies \textsf {SA = 2(length * width + width * height + length * height) }[/tex]
[tex]\textsf {Given :}\\\textsf {Length = 5 in.}\\\textsf {Width = 4 in.}\\\textsf {Height = 4 in.}[/tex]
[tex]\textsf {Solving :}[/tex]
[tex]\implies \mathsf {SA = 2 (5 * 4 + 4 * 4 + 5 * 4)}[/tex]
[tex]\implies \mathsf {SA = 2 (20 + 16 + 20)}[/tex]
[tex]\implies \mathsf {SA = 2 (56)}[/tex]
[tex]\implies \mathsf {SA = 112 in.^{2} }[/tex]
If a fission reaction yields 4.50×10^9 kJ of energy, then how much mass was lost?
1.50×10^−6 kg
5.00×10^−2 kg
5.00×10^−5 kg
1.50×10^−3 kg
Answer:
(c) 5.00×10^-5 kg
Step-by-step explanation:
The mass and energy are related by Einstein's formula E = mc².
__
Solving for mass in kg, we find it to be ...
m = E/c² . . . . . . . . where E is in joules, and c is in meters/second
m = (4.50×10^12 J)/(3×10^8 m/s)² = 5.00×10^-5 kg
The lost mass was about 5.00×10^-5 kg.
Answer:
5.00×10^−5 kg
Step-by-step explanation:
I took the test and it was correct! PLEASE LIKE and have a wonderful day!
An arithmetic sequence starts
-10, -13, -16,
Find the sum of its first 35 terms.
Answer:
-10,-13,-16 and importance of being in a good night friends ni pta nhi hai to you
Help! Select the correct answer from each drop-down menu.
Consider right triangle ABC.
(file is attached below!)
The value of Sin A = 9 / 41 and the value of Cos A = ( 40 / 41).
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The values of the angels will be calculated by using the trigonometry property.
Sin A = Perpendicular / Hypotenuse
Sin A = 9 /41
Cos A = Base / Hypotenuse
Cos A = 40 / 41
Therefore the value of Sin A = 9 / 41 and the value of Cos A = ( 40 / 41).
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the graph of the function 10/x
The function will have a vertical asymptotes of x = 0 and horizontal asymptotes of y = 0.
What are rational functions?Rational function are functions that are written as a ratio. For instance a/b can be expressed as rational function.
According to the question, we are to plot the graph of the function 10/x
The function will have a vertical asymptotes of x = 0 and horizontal asymptotes of y = 0.
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Two trains, Train A and Train B, weigh a total of 526 tons. Train A is heavier than Train B. The difference of their weights is 466 tons. What is the weight of each train?
Answer:
Train A = 466
Train B = 60
Step-by-step explanation:
Mr.khatiwada. is a unmarried secondary level mathematics teacher in a community school.His monthly salary is Rs 39990with Rs 2000 allowance and gets one months basic salary as festival expense.if 10%and next 13%of his basic salary is deposited in his provident fund and civil investment trust respectively,how much income tax should he pay in this year.
The income tax that will be paid for the year will be RS 4199.
How to calculate the tax?The total income that the ma gets will be:
= 39990 + 2000
= 41990
The tax rate is given as 10%. Therefore, the income tax that will be paid this year will be:
= 10% × 41990
= 4199
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Jamal puts $2300 into an account that does not earn any interest.
Every month after that, he deposits the same amount of money.
This sequence
represents his account balance for the first few months:
$2300, $2500, $2700, ...
What is the explicit formula for the amount of money in his account at the beginning of month n?
A. a(n) = 2300 + (n − 1)200
B. a(n) = 200-2300"-1
C. a(n) = 2300 200-1
D. a(n) = 200+ (n − 1)2300
The explicit formula for the amount of money in his account at the beginning of month n is a(n) = 2300 + (n − 1)200.
What is the explicit formula?The explicit formula would be a linear function. A linear function is a function that has a single variable raised to the power of 1.The rate of increase in the account is a constant amount : $200
Amount of money at the beginning of the month = beginning balance + (number of months - 1) x rate of increase
a(n) = 2300 + (n − 1)200
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What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the line
y=x?
O (10,-2)
O (-10, 2)
O (-2,-10)
O (2, 10)
Answer:
it is b
Step-by-step explanation:
The solution is Option A.
The coordinates of the vertex A before the reflection across the line y = x is given by A = A ( 10 , -2 )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the coordinates of the point A be A ( x , y )
Now , the vertex A is reflected over the line y = x
When you reflect a point across the y = x , the y-coordinate gets interchanged with x-coordinate. The reflection of point (x, y) across the line y = xis ( y , x )
So , the coordinates of the point A' ( -2 , 10 )
Now , the coordinates of the point A will be
A ( x , y ) = A ( 10 , -2 )
Therefore , the value of A is A ( 10 , -2 )
Hence , the coordinates of the point before reflection is A ( 10 , -2 )
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how to Find the number of ways to distribute 5 bananas and 7 different books to 3 person
empty allowed
Answer:
In order for each child to receive a book, first distribute one book to each.
This can be done in [math] 5\times 4\times 3 = 60 [/math] ways.
The remaining two books can be distributed in [math] 3^2 [/math] ways.
Total number of ways[math] = 60 \ times 9 = 540 [/ math]
Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triangle DEC. Which statements about the two triangles must be true? Select three options.
△ABC ~ △DEC
∠B ≅ ∠E
3BC = 2EC
3DE = 2AB
3m∠A = 2m∠D
2m∠A = 3m∠D
The triangle △ABC and △DEC are similar to each other. Then the correct option is A, B, and D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
Right triangle ABC is reflected over AC.
Then dilated by a scale factor of Two-thirds to form triangle DEC.
The triangle △ABC and △DEC are similar to each other.
△ABC ≅ △DEC
The dilation is 2/3. Then we have
DE / AB = 2 / 3
3AB = 2DE
∠B ≅ ∠E = 90
There is no effect of dilation on angle.
Then the correct option is A, B, and D.
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Answer:
A. △ABC ~ △DEC
B. ∠B ≅ ∠E
D. 3DE = 2AB
Step-by-step explanation:
got it right on edge 23
Find the slope please
Mr. Garcia had some blueberries. He sold 2 3/4 kilograms of the blueberries and packed the rest equally into 9 bags. Each bag contained 1/4 kilogram of blueberries. Find the mass of blueberries that mr. Garcia had at first
Answer:
Mr. Garcia had 5 kilograms of blueberries at first
Step-by-step explanation:
to make this easiest, we can imagine that we're undoing mr. garcia's actions.
So, we can start by 'unpacking' mr garcia's bags
we know that each of the nine bags had 1/4 kilograms, so we can multiply 1/4 by 9 to find the collective mass packed into bags
(remember, multiplication is repeated addition. we could also add 1/4 + 1/4 + 1/4... nine times, but this would take a while)
so,
1/4 x 9 = 9/4
(9 = 9/1 [if that is how you're used to multiplying a fraction])
Then, he also sold 2 3/4 kilograms
so, we can add 2 3/4 + 9/4 to find the total mass of the blueberries at first
2 3/4 + 9/4 = 2 + 12/4
(12/4 = 3)
2 + 3 = 5
So, Mr. Garcia had 5 kilograms of blueberries at first
make mathematical expression and simplify. The sum of 4 and 5 is subtracted form one-third of the difference of 40 and 4.
Answer:
X= -3
Step-by-step explanation:
(4+5)-1/3(40-4)=X
X=9- 1/3(36)
X=9-12
Pls help me I need answers in summer school teachers won’t help!!
Answer:
21. x = 18.1
22. x =28.7
Step-by-step explanation:
SOH = sin(theta) = opp/hyp
CAH = cos(theta) = adj/hyp
TOA = sin(theta) = opp/adj
21. You would be using tangent.
tan(theta) = Opp/Adj
tan(32°) = x/29
x = 29 * tan(32°)
x = 18.1
22. You would be using cosine
cos(theta) = Adj/Hyp
cos(43°) = 21/x
x * cos(43°) = 21
x = 21 / cos(43°)
x = 28.7
Use a Calculator to help you solve for those side lengths or degrees.
If you were to search of SOHCAHTOA online and find an image you would be able to see their example problem done using
SOHCAHTOAI am not sure if I am allowed to use an online example image since I got warned for some reason without explanation to the warning.
What's the least common
denominator of ¾,
⅘, and ⅔?
O A. 15
O B. 12
O c.20
O D. 60
Answer:
D. 60
Step-by-step explanation:
60 is the only number that 3 and 4 and 5 all go into.
4 does not go into 15, so not answer A.
5 does not go into 12, so not answer B
3 does not go into 20, so not answer C
D is correct. 4 and 5 and 3 all go into 60.
-2
Mark all of the statements that are true.
-2
A. The domain for this function is all
real numbers.
B. The domain for this function is
the set {3}.
+2
C. All real numbers are in the range of this function.
D. This graph is not a function because the value of y is the same for
every value of x.
E. The range for this function is the set (3).
5. Se hizo una encuesta a estudiantes, de una carrera de un total de 6000 estudiantes encuestados el 75% le gusta leer. ¿Cuántos estudiantes les gusta leer?
La encuesta indica que de entre todos los estudiantes de una carrera, 4500 les gusta leer.
PercentageThe percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{30}{100} =\frac{3}{10}=0.3*100=30 \%[/tex].
The question gives:
6000 students75% of students like to readThen, you will have:
[tex]6000\cdot \frac{75}{100}\\ \\ 6000\cdot \frac{3}{4}\\ \\ \frac{18000}{4} =4500[/tex]
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