Find the area of the shaded region.
A. 112.5 in²
B. 73.5 in²
C. 122.5 in²
D. 147 in²
9514 1404 393
Answer:
B. 73.5 in²
Step-by-step explanation:
The triangle area is half the rectangle area, so the shaded area is also half the rectangle area:
A = 1/2LW = 1/2(21 in)(7 in) = 73.5 in²
Answer:
B.) 73.5 in2
Step-by-step explanation:
I got it correct on founders edtell
I need someone to do this question
Answer:
$1487.50
Step-by-step explanation:
9514 1404 393
Answer:
$1487.50
Step-by-step explanation:
The amount of interest due is ...
I = Prt
where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...
I = $1400×0.125×1/2 = $87.50
The total amount due is the sum of the loan amount and the interest:
due = $1400 +87.50 = $1487.50
The total amount due after 60 months is $1487.50.
What is the value of Z? Z =2^3
the value of Zis 8.
Z =2^3=8
Now we have to,
find the required value of Z.
→ Z = 2^3
→ [Z = 8]
Therefore, value of Z is 8.
Use the figure to find x
Answer:
The value of x is [tex]\frac{7\sqrt{6}}{2}[/tex]
Solution given:
AB=7
BD=x
<BAC=60°
<DBC=45°
In right angled triangle ABC
Tan 60°=opposite/adjacent
Tan 60°=BC/AB
Substitute value
[tex]\sqrt{3}[/tex]=[tex]\frac{BC}{7}[/tex]
BC=[tex]7\sqrt{3}[/tex]
again
In right angled triangle BCD
Using Cos angle
Cos 45=adjacent/hypotenuse
Cos45°=BD/BC
Substituting value
[tex]\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}[/tex]
Doing criss cross multiplication
[tex]\frac{\sqrt{2}}{2}*7\sqrt{3}=x[/tex]
x=[tex]\frac{7\sqrt{6}}{2}[/tex]
Billy's heart rate is 13 beats every 10 seconds. What is his heart rate in beats per MINUTE (bpm)?
Reminder: 1 Minute=60 Seconds
(A)23 bpm
(B)63 bpm
(C)78 bpm
(D)130 bpm
write an expression to represent the sum of 3 and the quotient of a number divided by 6
is absolute value of -998
Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:
This should 998 I guess
Step-by-step explanation:
Minus the negative signs
Can someone please help
Answer:
he didnt build the field
Step-by-step explanation:
f
A box of tangerines that weighs 5 pounds costs $4.25.
What is the cost per pound?
Answer:
$0.85
Step-by-step explanation:
$4.25 divided by 5 pounds equals $0.85 per pound.
Answer:
$0.85
Step-by-step explanation:
Find the unit rate.
4.25/5=x/1
Solve for x. X= 4.25/5=0.85
So 1 lb of tangerines costs $0.85.
An office manager booked 55 airline tickets. He booked 6 more tickets on Airline A than Airline B. On Airline C, he booked 5 more than twice as many tickets as on Airline B. How many tickets did he book on each Airline?
9514 1404 393
Answer:
A: 17B: 11C: 27Step-by-step explanation:
If we let a, b, c represent tickets booked on airlines A, B, C, respectively, then we have ...
a + b + c = 55
a - b = 6
-2b + c = 5
Using the last two equations to write expressions for a and c, we have ...
a = b +6
c = 5 +2b
These can be substituted into the first equation to give ...
(b +6) +b +(5 +2b) = 55
4b +11 = 55
4b = 44
b = 11
a = b+6 = 17
c = 5 +2b = 27
He booked 17 tickets on Airline A, 11 tickets on Airline B, and 27 tickets on Airline C.
^please answer, thanks in advance ^
Answer:
There is not enough information to determine the mean, the median is 28.
There is not enough information to determine the mean absolute deviation, the interquartile range is 18
Step-by-step explanation:
The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.
From the box plot given, the marked point in between the box is 28 cm
Hence, Median = 28 cm
The mean cannot be inferred from the skewed box plot.
There is also not enough information to determine the mean absolute deviation ;
The interquartile range:
(Q3 - Q1)
Q3 = upper quartile, the endpoint of the box = 40
Q1 = the starting point of the box = 22
IQR = Q3 - Q1
IQR = 40 - 22 = 18
-4 is a whole number
Answer:
false
Step-by-step explanation:
a whole number is a number that doesnt contain a fraction or negative value
Find all two - digit numbers with the following property: the difference of the number and the number with the same digits in reverse order is 54.
Answer:
17
26
35
44
53
62
71
80
Step-by-step explanation:
Let's solve the problem step by step.
Let's assume the two-digit number is represented as "AB," where A represents the tens digit and B represents the units digit. According to the problem, the difference between the number "AB" and the number "BA" is 54.
So, we have the equation:
(10A + B) - (10B + A) = 54
Simplifying the equation, we get:
9A - 9B = 54
Dividing both sides of the equation by 9, we have:
A - B = 6
Now, we need to find two-digit numbers where the difference between the tens digit and the units digit is 6. The possible combinations are:
(1, 7)
(2, 8)
(3, 9)
(4, 10) - But 10 is not a valid unit digit since it exceeds the range of a two-digit number.
So, the valid two-digit numbers that satisfy the given condition are:
17
26
35
44
53
62
71
80
Therefore, there are 8 two-digit numbers that have a difference of 54 when subtracted from the number formed by reversing their digits.
A car travels 1/8 mile in 2/13 minutes. What is the speed in terms of miles per minute?
Answer:
13/16 miles per minute
Step-by-step explanation:
Take the miles and divide by the minutes
1/8 ÷ 2/13
Copy dot flip
1/8 * 13/2
13/16 miles per minute
Solve the following system of equations
x^2+2y^2=59
2x^2+y^2=43
Answer: x = (-3,3), y = (-5,5)
Step-by-step explanation:
Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)
Juan borrowed $ 3, 500 from a credit union for 6 years and was charged simple interest at a rate of 4.97 %. What is the amount of interest he paid at the end of the loan?
Answer:
$4543.70
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify
P = 3500
t = 6
r = 4.97% = 0.0497
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle A = 3500(1 + 0.0497 \cdot 6)[/tex](Parenthesis) Multiply: [tex]\displaystyle A = 3500(1 + 0.2982)[/tex](Parenthesis) Add: [tex]\displaystyle A = 3500(1.2982)[/tex]Multiply: [tex]\displaystyle A = 4543.7[/tex]Which choice is equivalent to the fraction below? (Hint: Rationalize the
denominator and simplify.)
2-√2
2 + 2
A. 2.
B. 2-3
o
C. 3-2.12
D. 6 - 42
Work out m and c for the line: y + 3 x = 1
Answer:
look at diagram above. Use y=mx+c
During a Team scavenger hunt event, the average number of steps taken was 1800. Calculate the distance traveled using 10,000 steps = 5 miles. Using a time of 27 minutes to complete the event, calculate your average speed.
Answer:
The average speed was of 2 miles per hour.
Step-by-step explanation:
Average speed:
Average speed is distance divided by time.
Distance:
Solved by proportions, using rule of three.
1800 steps - x miles
10,000 steps - 5 miles
[tex]10000x = 5(1800)[/tex]
[tex]x = \frac{9000}{10000}[/tex]
[tex]x = 0.9[/tex]
Distance of 0.9 miles.
Using a time of 27 minutes to complete the event, calculate your average speed.
Distance of 0.9 miles in 27/60 of an hour. So
[tex]d = \frac{0.9}{\frac{27}{60}} = \frac{60(0.9)}{27} = 2[/tex]
The average speed was of 2 miles per hour.
6.) What are the coordinates of D, E and F after a reflection over the y-axis?
D'(-3,-3) E (5,0) F (2,2)
D'(3,3) E'(-5,0) F'(-2,-2)
D'(3,-3) E (0,5) F'(-2,2)
6)Factor: x^2+1/3x+1/36
Answer:
2
Step-by-step explanation:
7 x 5/6 simplified!!
Answer:
5 5/6
Step-by-step explanation:
7 x 5 = 35
35/6 = 5 5/6
Answer:
5 5/6
Step-by-step explanation:
7 * 5/6
7/1 * 5/6
Multiply the numerators
7*5 = 35
Multiply the denominators
1*6 = 6
Numerator over denominator
35/6
Change to a mixed number
6 goes into 35 5 times with 5 left over
5 5/6
Can someone explain how to solve this step by step? Thank you
Answer:
x=10
Step-by-step explanation:
Using the Rational Roots Test, we can say that the potential rational roots are
± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).
Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.
To make the process faster, I wrote a Python script as follows:
numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]
negative_numbers = [i * (-1) for i in numbers]
numbers = numbers + negative_numbers
for i in numbers:
if (i**3 - 10*(i**2) + 9*i-90) == 0:
print(i)
The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get
10 | 1 -10 9 -90
| 10 0 90
_________________
1 0 9 0
Therefore, we can say that
(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so
x³-10x²+9x-90 = (x-10)(x²+9)
As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0
F(x)=x^2. What is g(x)?
A. g(x)= 1/4x^2
B. g(x)= (1/2x)^2
C. g(x)= 2x^2
D. g(x)= 1/2x^2
Answer:
D. g(x) = 1/2 × x²
Step-by-step explanation:
we need to pick the function that delivers
g(2) = 2
as the given point shows the coordinates (2, 2).
that means x=2, y=g(x)=2
A. for x=2
1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1
wrong, as we need 2 as result.
B. for x=2
(x/2)² = (2/2)² = 1² = 1
wrong
C. for x=2
2×x² = 2×2² = 2×4 = 8
wrong
D. for x=2
1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2
correct
How many arrangements of the letters in the word "SCHOOLS" are there?
2,520
1,260
5,040
After careful consideration the answer is...
1,260
Hope I helped
~Alanna~
Answer:
1,260
Step-by-step explanation:
PLEASE PLEASEEEEEEE HELPPPPPPPP
what are the zeros in this equation?
f(x) = 2x^2 + 6x^2 + 2
So you definately wrote something wrong but I will assume the 6x^2 was meant to be just 6x.
2x^2 + 6x + 2 = 0
x^2 + 3x + 1 = 0
I can't seem to find a better way than to simply use the quadratic formula:
(-3 + sqrt(9 - 4*1*1))/2 [tex]\approx[/tex] -0.382
(-3 - sqrt(9 - 4*1*1))/2 [tex]\approx[/tex] -2.62
So the zeroes for this function are at
(-0.382, 0) and (-2.62, 0)
Or exactly:
((-3 + sqrt(9 - 4*1*1))/2, 0) and ((-3 - sqrt(9 - 4*1*1))/2, 0)
P=2L+2W; L=57, W=148 solve for P
Answer:
[tex]{ \bf{P = 2L + 2W}} \\ { \tt{P = 2(W + L)}} \\ { \tt{P = 2(148 + 57)}} \\ { \tt{P = 410}}[/tex]
Answer:
P=410
Step-by-step explanation:
2(57)+2(148)=114+296=410
which algebraic expression represents this phrase? the product of 16 and the time after the start A. 16· t B. 16-t C. 16/t D. 16+ t
Answer:
the answer is C. 16/t
Step-by-step explanation:
The fourth term of an=(1/2)^n is
Answer:
[tex]1/16[/tex]
Step-by-step explanation:
The formula for the sequence [tex]a_n=\frac{1}{2}^n[/tex] is used to find the [tex]n[/tex]th term of the sequence.
To find the fourth term, substitute [tex]n=4[/tex]:
[tex]a_4=\left(\frac{1}{2})\right ^4,\\a_4=\frac{1^4}{2^4}=\boxed{\frac{1}{16}}[/tex]
Answer:
1/16
Step-by-step explanation:
the nth term is
[tex]a_{n} = (\frac{1}{2} )^{n}[/tex]
the 4th term is found by substituting n=4
[tex]a_{4} =(\frac{1}{2} )^{4} = \frac{1^{4} }{2^{4} } = \frac{1}{16}[/tex]
Evaluate the following expressions
Step-by-step explanation:
a.2+9-5=6
b.-9+1=-8
c.7(-36+50/120)2
=7(24/120)2
