The amount of money used for scholarship and the fraction of the estate gotten by Miss Maple are :
Scholarship amount = $561,600Fraction gotten by Miss Maple = 1/30The entire fraction of the estate = 1/1
Fraction given to children = 2/3
Fraction left = Total - fraction given to children
Fraction left = 1/1 - 2/3 = 1/3
For scholarship :
1/5 of fraction left :
1/5 of 1/3 = 1/5 × 1/3 = 1 /15
Fraction Given to grand children :
1/5 - 1/15 = 2/15
Amount of money used for scholarship :
1/15 × 8424000 = $561,600
B.)
Since There are four grand children and it was equally shared among them:
Miss Maple is one of the grand children:
Fraction each grandchild gets is :
2/15 ÷ 4
2/15 ÷ 4/1
2/15 × 1/4 = 2/60 = 1/30
Hence, miss Maple will get 1/30
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what property are these equations?
Answer:
Line 1 to line 2: Distributive property.
Line 2 to line 3: Commutative property.
n - 5.5 = 8.3 please help ASAP
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
15. Create Write a real-world problem that can be solved by modeling integer
operations on the number line.
Answer:
The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?
80 - 10 = 70 degrees
Step-by-step explanation:
name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
Four times the sum of twice a number and -3 is less than times that same number
Determine whether the sequence is arithmetic or geometric.
Sequence 1: –10, 20, – 40, 80, ...
Sequence 2: 15, – 5, – 25, – 45, ...
Which of the following statements are true regarding Sequence 1 and Sequence 2.
A. Sequence 2 is arithmetic and Sequence 1 is geometric.
B. Sequence 1 is arithmetic and Sequence 2 is geometric.
C. Both sequences are geometric.
D. Both sequences are arithmetic.
Answer:
A. Sequence 2 is arithmetic and Sequence 1 is geometric
Step-by-step explanation:
Hello,
Answer A
-10,20,-40,80,.... is geometric= Sequence 1
15,-5,-25,-45.... is arithmetic= Sequence 2
Unit rate $46 for 5 toys
Answer:
$9.20
Step-by-step explanation:
you divide 46 by 5 and you get 9.20
Answer:
9.50
Step-by-step explanation:
$46 divided by 5 which equals $9.50
You need to buy a carpet that measures 7.5 yards long and 5 yards wide and costs $49.50 per square yard. How much will the carpet for the room cost?
Answer:
$1,856.25
Explanation:
To find the square yards, multiply length and width
7.5 * 5 = 37.5
Then, since each square yard costs $49.50, multiply the square yards and the cost
37.5 * 49.50 = 1,856.25
Thus the answer is $1,856.25
The carpet for the room will cost $1,856.25.
This is the product of the unit cost per square yard multiplied by the area of the room.
The area of the room is = 37.5 square yards (Length x Width)
Length of the room = 7.5 yards
Width of the room = 5 yards
Therefore, the total area of the room = 37.5 square yards (7.5 x 5)
Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).
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16+24/8-6 is equal to __.
A) 6
B) 20
C) -1
D) 13
Answer:
16+21/8-6 simplifies to 13
Hope this helps!!
Answer:
D. 13
Step-by-step explanation:
Step 1:
16 + 24 / 8 - 6
Step 2:
16 + (24 / 8) - 6
Step 3:
16 + 3 - 6
Step 4:
(16 + 3) - 6
Step 5:
19 - 6
Answer = 13
Hope it helps :)
The graph shows the result of matrix operation AB, where the pre-image has dashed lines. Which matrix could represent B?
Matrix operations includes the addition, multiplication and subtraction of matrices
The correct option for the matrix that can be used to represent B is option D)
[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The reason the above option is correct is as follows:
From the graph, we have that the coordinates of the preimage are;
(-6, 5), (-3, 9), and (6, 5)
The coordinates of the preimage in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The coordinates of the image are;
(-6, -5), (-3, -9), and (6, -5)
The coordinates of the image in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
The above image matrix can be obtained from the primage matrix as follows:
[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Which is of the form AB = C
Where;
[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]
[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)
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Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.
9514 1404 393
Answer:
a) J(K(x)) = x; K(J(x)) = x; functions are inverses
b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses
c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4
Step-by-step explanation:
a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.
J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses
K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses
__
b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses
g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses
__
c) To find the inverse function for y = f(x), solve x = f(y).
The inverse of f(x) = 4 -x is ...
x = f(y) = 4 -y
y = 4 -x . . . . . add y-x to both sides
f^-1(x) = 4 -x
and for g(x) = x -4, the inverse is ...
x = g(y) = y -4
x +4 = y
g^-1(x) = x +4
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
Given the following functions:
f(x)=x^2
g(x)=x−3
Find the composition of the two functions and show your process:
f(g(x))
Answer:
[tex]x^2-6x+9[/tex]
Step-by-step explanation:
Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.
Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].
Hope this helps!
There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
What is m∠A? ???????
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc
We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.
Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.
It's given in the question,
Dana can type 90 words per minute.Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]
= 90×60
= 5400 words per hour
She types [tex]2.6\times 10^5[/tex] words in 'x' hours.Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= [tex]5400\times x[/tex]
Therefore, [tex]5400\times x =2.6\times 10^5[/tex]
[tex]5400x=260000[/tex]
[tex]x=\frac{260000}{5400}[/tex]
[tex]x=48.15[/tex] hours
Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.
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How do the perimeters of the rectangles compare?
An a adult ticket to the zoo costs $20 and a child’s ticket costs $10.How much will it cost for Mr. and Mrs.Brown and their 4 children to get into the zoo?
Answer:
Step-by-step explanation:
you add 20 for mr brown 20 for mrs brown 10 for kid one 10 for kid 2 ten for kid 3 and 10 for kid for giving you a grand total of 80 dollars
9514 1404 393
Answer:
$80
Step-by-step explanation:
Add up the ticket costs:
$20 +20 +10 +10 +10 +10 = $80
It will cost $80 for the family to purchase tickets to the zoo.
__
Many folks find it easier to use multiplication to simplify the addition:
2×$20 +4×10
= $40 +40 = $80
Evaluate m^2 -4m+2 for m =-2
Answer:
answer is 6
Step-by-step explanation:
m^2 - 4m + 2
-2(2) - 4(-2) + 2
-4 + 8 + 2
-4 + 10
6
1+2+5834-54545246
43122
Answer:
-5454524637285
Step-by-step explanation:
Calculator lol
2) A rectangular pyramid has the base area measuring 30 m by 20 m. Given 1 point
that the volume is 7,000 m^3, find its height. *
Answer:
20x30xH=7000
11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.
Answer:
Pyramid Height = 3 * Pyramid Volume / Base Area
Height = 3 * 7,000 / (30 * 20)
Height = 21,000 / 600
Height = 35 meters
Step-by-step explanation:
the distance between the base of the tree and the base of the building is:
please
my guess is "15m" is it correct ?
Explanation:
Apply the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]
The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.
Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.
The square root of 89 is rational or irrational and why
Step-by-step explanation:
√89 is irrational number because it is not a perfect squareI WILL GIVE BRAINLIEST AND 100 POINTS (answer correctly) I NEED NUMBER 12 DONE ASAP!!
Answer:
16Step-by-step explanation:
p³/r² - (m + np) = (-8)³/4² - (-32 + 2(-8)) = -512/16 - (-32 - 16) = -32 + 48 = 16m+np
-32-16-48Now
-32-(-48)16how do you write 0.94 as a fraction with this _on top of the 4
Answer:
[tex]94/99[/tex] Or [tex]0.94[/tex] as a repeating decimal
Step-by-step explanation:
Oh pls help I have a test tomorrow
Answer:
you would write it as -3.25 as a whole number
Please help fast Subtract 5/8 - 1/6
Answer:
0.4583
Hope it helps you!!
seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number
Solve: 0 = 2x^2 + 16x
Answer:
2x^2 +16x=0
=>2 x(x+8)=0
=>2x=0 or x+8=0
=>x= 0 or x=-8
Step-by-step explanation:
Jonathan is solving this 3 variable system by hand.
What should be the entries for row 3 in step 3 (list them in order)? A) 0, -1, -2, 1 B) 0, 1, 3, 1 C) 0, 1, -2, 3 D) 3, 2, 1, 1
The entries for Row 3 in step 3 are : 0, -1, -2, 1
R_{1} = Row1
R_{2} = Row 2
R_{3} = Row 3
For the third step, STEP 3 :
THE VALUE OF Row 3 is obtained thus :
[tex]R_{3} = R_{3} - 3R_{1}[/tex]
[tex]From \: step \: 1 : R_{1} = [1 1 1 0][/tex]
[tex]R_{1} = [1 1 1 0] \\ \\
[tex]R_{3} = [3 2 1 1] \\
\\ 3R_{1} = 3(1 1 1 0) = [3 3 3 0][/tex]
[tex]R_{3} - 3R_{1} \: =
(3 - 3), (2 - 3), (1 - 3), (1 - 0) = (0, -1, -2, 1)[/tex]
Hence, the entry for Row 3 in step 3 will be :
(0, - 1, - 2, 1)
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