Answer:
3
Step-by-step explanation:
Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
Sam wrote exactly half of his land in his daughter's name and ⅓ of his land in his son's name. He donated the remaining 10 acres to a charity.
1. What fraction of the total plot of land did Sam donate to charity?
Answer:
he donated 1/6 of the total land to charity
Step-by-step explanation:
1/2 went to daughter
1/3 went to daughter
combined, this equals 5/6 of the total land
this leaves 1/6 to be donated
Find the value of 64 3/2
Answer:
65 1/2 or 65.5
Step-by-step explanation:
3/2 = 1.5 or 1 1/2
Answer:
65 1/2
Step-by-step explanation:
Anyone know the answer to this?
Answer:
124.80 ft
Step-by-step explanation:
Height of Daniel = 6 ft
The angle of elevation from his eyes to the top of the statue is = 68°
Daniel is 48 ft away from the base of the statue
To find the height of the statue apply the tangent of an angle formula then add height of Daniel as;
Tan 68° = h/48
h= {48 tan 68°} + 6 ft
h= 124.804168964
h= 124.80 ft
I need help with 16, 17, 18, 19, 20 & 21 please.
Answer:
Step-by-step explanation:
Number 16. You should put yes
Number 17 put no
number 18 is yes
Number 19 is yes
number 20 is no
number 20 is no
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
Juanita decided to start saving for college. She deposited $500 into an account which earns 4% simple annual interest. How much will she have in her account after the end of the three years?
A: $60.00
B: $440.00
C: $560.00
D: 562.43
Answer:
The answer is D
Step-by-step explanation:
Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?
Answer:
1/8
Step-by-step explanation:
Let
The total fraction of the book read = 1
The remaining 4 days be represented as= x
Hence:
1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days
1 = 1/6+ 1/3 + x
x = 1 - (1/6+ 1/3)
x = 1 - (1 + 2/6)
x = 1 - (3/6)
x = 1 - 1/2
x = 1/2
The fraction of the book read in 4 days = 1/2
To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:
1/2 ÷ 4 days
= 1/2 × 1/4
= 1/8
Therefore, the fraction of the book that was read on each of the 4 days is 1/8
how many feet tall is the building
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
hii I am enter in wrong serve ....
Answer:
have u goa answer
Step-by-step explanation:
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
ARE ON
1. Which of the following is most likely a graph of y=-2x +3?
Which value of n makes the equation true?
1/2(n+4)=6
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6
A is the center of the circle, and the length of CD is 15 centimeters.
1. Select a segment that is a radius.
Answer:
All answers expect CD
Step-by-step explanation:
A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD are a radius because it half of diameter, AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C
CD is the diameter.
help me plez There are 100 bolts in 5 bookcases.
What is the unit rate in bolts per bookcase?
2 bolts per bookcase
20 bolts per bookcase
50 bolts per bookcase
200 bolts per bookcase
Answer:
20 bolts per bookcase
Step-by-step explanation:
What is the distance from C to D?
A. 5 units
B. 1 unit
C. 25 units
D. 7 units
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]
[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
y=−34x 2 +1542x−10037
Answer:
10105
1542
Step-by-step explanation:
find f(-3) f(x) = 4x+7
Answer:
-5
Step-by-step explanation:
4(-3) + 7
-12+7
Answer:
f(-3) = -5
Step-by-step explanation:
f(x) = 4x + 7
f(-3) = 4(-3) + 7
f(-3) = -12 + 7
f(-3) = -5
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
A spinner has 3 yellow and 5 blue sections of equal size. A friend says the probability of getting a blue is 5:3. Describe and correct the error.
Answer:
5:8
Step-by-step explanation:
You have to combine the yellow and blue then put the blue amount in front.
Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be
Answer:
24 miles UwU
Step-by-step explanation: G'day mate!
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
15 is 30% of what number
Answer:
15 is 30% of 100 I believe
Answer:
50
Step-by-step explanation:
Hope this answer your question.
i need help finding z and y pls
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
PLZ HELP ME
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Answer:
Sorry just trying to get pts
Step-by-step explanation:
1.2^a x 2^5 =2^0
a=?
Answer:
One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.
The rest of the equation seems to indicate the latter, so we'll solve both:
If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.
If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.
Step-by-step explanation:
Interpretation #1:
[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]
Interpretation #2:
Here the question is much simpler, as we need only add the exponents when adding and dividing:
[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]
X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
please help will make brain list “simplify each expression”
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
[tex]\frac{x^{12} }{x^{2} }[/tex] = [tex]x^{12 - 2}[/tex]
12 - 2 = 10
So,
[tex]x^{10}[/tex] is the correct answer.
Hope this helps! ^^
need help solving a practice question
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.