The factors of 45 are 9 and 5.
A number divisible by 45 needs to be divisible by both 9 and 5.
For a number to be divisible by 9 the sum of the digits must also be divisible by 9 and the number needs to end with either a 0 or a 5 to be divisible by 5.
This means the number needs to end with the 0 so cross out the last number (4)
Now find a sum of 5 remaining numbers divisible by 9.
5 + 1 + 4 + 8 + 0 = 18 which is divisible by 9
Cross out 9,7 and the last number 4 to get the number: 51480
The length of a rectangle is 12 m and its diagonal is 15 m. find
the breadth and area of the rectangle.
Answer:
108 square metres
Step-by-step explanation:
A=√d square - l square
here
A = area
d= diagonal
l= length
a + b·c = a + c·b is an example of the associative property.
Answer:
yes , This is an example of the associative property.
Step-by-step explanation:
An 8-oz bottle of hair spray costs $4.46. Find the unit price in cents per ounce
Answer:
55.75 cents per ounce
Step-by-step explanation:
Take the cost and divide by the number of ounces
We want cents per ounce so change dollars to cents
446 / 8
55.75 cents per ounce
The sum of 5 consecutive integers is 505. What is the second number in this sequence?
Answer:
The second number is 100.
Step-by-step explanation:
Let the first integer be x.
Then since the five integers are consecutive, the second integer will be (x + 1), the third (x + 2), fourth (x + 3), and the fifth (x + 4).
They total 505. Hence:
[tex]\displaystyle x+(x+1)+(x+2)+(x+3)+(x+4)=505[/tex]
Solve for x. Combine like terms:
[tex]5x+10=505[/tex]
Subtract 10 from both sides:
[tex]5x=495[/tex]
And divide both sides by five. Hence:
[tex]x=99[/tex]
Thus, our sequence is 99, 100, 101, 102, and 103.
The second number is 100.
What is the length of my
?
M
3x
X + 8
7639
630
N
¿
O
A. 8
B. 4
C. 16
a
D. 12
Answer:
The length of MN is 4
Choose B
A modified roulette wheel has 36 slots. One slot is 0, another is 00, and the others are numbered 1 through 34, respectively. You are placing a bet that the outcome is an even number. (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning?
Answer:
[tex]P(win) = 0.4722[/tex]
Step-by-step explanation:
Given
[tex]n = 36[/tex] --- slots
[tex]Even = 17[/tex] i.e. even numbers between 1 and 34 (inclusive)
Required
[tex]P(win)[/tex]
The probabiity of winning is the number of even numbers divided by the total slot;
i.e.
[tex]P(win) = \frac{Even}{n}[/tex]
So, we have:
[tex]P(win) = \frac{17}{36}[/tex]
[tex]P(win) = 0.4722[/tex]
find the measures of m and n.
Answer:
m = 4
n = 5
Step-by-step explanation:
[tex]m + 8 = 3m\\\\m - 3m = - 8\\\\-2m = - 8\\\\m = 4[/tex]
[tex]2n - 1 = 9 \\\\2n = 9 + 1\\\\2n = 10\\\\n = 5[/tex]
I'm not sure how to do this so I'm just asking for help.
Answer:
C
Step-by-step explanation:
In ∆DEG, we are given that all the three angles are congruent.
This means that all the three angles have equal measure. Thus,
<D = <E = <F
An equilateral triangle has equal angle measure. ∆DEF is an equilateral triangle.
Since the sum of a triangle is 180°, therefore, each angle in ∆DEF = 60°
m<D = 60°
Question 8 of 9
Use a calculator to find the correlation coefficient of the data set.
у
2
15
6
13
7
8
12
X
15
13
9
8
5
A. -0.909
B. 0.909
C. 0.953
D. -0.953
Actual data table :
X __ y
2 15
6 13
7 9
8 8
12 5
Answer:
0.953
Step-by-step explanation:
The question isnt well formatted :
The actual data:
X __ y
2 15
6 13
7 9
8 8
12 5
Using a correlation Coefficient calculator, the correlation Coefficient obtained by fitting the data is 0.953 which depicts a strong linear correlation between the x and y variable. This shows that the value of y increases with a corresponding increase in x values and vice versa.
Please help me. A) vertical angle. B) complementary angle. C) supplementary angle. D) none of the above
(C)
Step-by-step explanation:
The sum of angles a and b is 180°, which make the two supplementary angles.
Someone please help me ASAP!
Answer:
The 3rd
Step-by-step explanation:
If x goes to infinity, f(x) goes to infinity too:
[tex]lim \: \frac{2 {x}^{2} }{3x - 1} = lim \frac{2x}{3 - \frac{1}{x} } = \frac{ 2 \times \infty }{3 - 0} = \infty [/tex]
How to solve it and explain it
Answer:
28.27 in²
Step-by-step explanation:
The equation for the area of a circle is A = π[tex]r^{2}[/tex]. However, we got the diameter.
diameter = 2(radius), so:
A = [tex]\frac{1}{4}[/tex]πd².
A = 1/4 * π * 6² ≈ 28.27433
a drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
.
.
.
Please show to work too. Thank you.
Answer:
My answer is 78.55
Step-by-step explanation:
I've given the steps. Hope it really helps
Answer: 78.5 inches
Step-by-step explanation:
Area = Pi x r x r
Diameter = 10 in
Radius = 5 in
314/100 x 5 x 5 = 314/4
314/4 = 78.5
= 78.5 inches
Side CA of the right triangle CAT is 3cm long. The hypotenuse is 5cm long. How many
square centimeters is the area of CAT?
Answer:
8
Step-by-step explanation:
By taking the number "3" and plus together with the number 5
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by
y = 340,110/
1 + 377e−0.259t
where t represents the year, with
t = 5 corresponding to 1985.
Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006
Answer:
(a) 74553
(b) 172120
(c) 234802
Step-by-step explanation:
Given
[tex]y = \frac{340110}{1 + 377e^{-0.259t}}[/tex]
Solving (a): 1998
Year 1998 means that:
[tex]t =1998 - 1980[/tex]
[tex]t =18[/tex]
So, we have:
[tex]y = \frac{340110}{1 + 377e^{-0.259*18}}[/tex]
[tex]y = \frac{340110}{1 + 377e^{-4.662}}[/tex]
[tex]y = \frac{340110}{1 + 3.562}[/tex]
[tex]y = \frac{340110}{4.562}[/tex]
[tex]y = 74553[/tex] --- approximated
Solving (b): 2003
Year 2003 means that:
[tex]t = 2003 - 1980[/tex]
[tex]t =23[/tex]
So, we have:
[tex]y = \frac{340110}{1 + 377e^{-0.259*23}}[/tex]
[tex]y = \frac{340110}{1 + 377e^{-5.957}}[/tex]
[tex]y = \frac{340110}{1 + 0.976}[/tex]
[tex]y = \frac{340110}{1.976}[/tex]
[tex]y = 172120[/tex] --- approximated
Solving (c): 2006
Year 2006 means that:
[tex]t = 2006 - 1980[/tex]
[tex]t =26[/tex]
So, we have:
[tex]y = \frac{340110}{1 + 377e^{-0.259*26}}[/tex]
[tex]y = \frac{340110}{1 + 377e^{-6.734}}[/tex]
[tex]y = \frac{340110}{1 + 0.4485}[/tex]
[tex]y = \frac{340110}{1.4485}[/tex]
[tex]y = 234802[/tex] --- approximated
Which problem has a greater (bigger) answer? Solve both, choose the one that has the bigger answer and explain (1-2 sentences) how you found your
answer.
1) (2 + 3) (5 + 5)
2)2 + 3 x 5 + 5 =
I need so much helppppp pleaseeeee
Answer:
Problem 1 has a greater answer.
Step-by-step explanation:
Solve problem 1 using the order of operatiobs PEMDAS (Parentheses, Exponents, multiplication/division, and addition/subtraction):
Multiplication/division depends from left to right of the expression, the same goes to addition/subtraction.
(2 + 3) (5 + 5)
= (5)(10)
= 50
SOLVE problem 2 using PEMDAS:
2 + 3 x 5 + 5
= 2 + 15 + 5
= 17 + 5
= 22
Answer 1 (50) compared to Answer 2 (22):
50 > 22
HOPE THIS HELPS!
i gave someone a Brainliest pls
Answer:
i think the mistake was in step 1
Step-by-step explanation:
A rectangular garden is 5 ft longer than it is wide. Its area is 1800ft^2. What are its dimensions?
Answer:
The dimensions are 45 feet by 40 feet.
Step-by-step explanation:
Recall that the area of a rectangle is given by:
[tex]\displaystyle A=w\ell[/tex]
Where w is the width and l is the length.
The length is five feet longer than the width. Thus, we can write that:
[tex]\ell = w+5[/tex]
The total area is 1800 square feet. Substitute:
[tex]1800=w(w+5)[/tex]
Solve for w. Distribute:
[tex]w^2+5w=1800[/tex]
Subtract 1800 from both sides:
[tex]w^2+5w-1800=0[/tex]
Factor. We can use 45 and -40. Hence:
[tex]\displaystyle (w+45)(w-40)=0[/tex]
Zero Product Property:
[tex]w+45=0\text{ or } w-40=0[/tex]
Solve for each case:
[tex]\displaystyle w=-45\text{ or } w=40[/tex]
Since the width cannot be negative, we can ignore the first solution.
So, the width is 40 feet. Since the length is five feet longer, the length is 45 feet.
The dimensions are 45 feet by 40 feet.
On a coordinate plane, a line goes through points (negative 1, 0), (0, 1), and (1, 2). Which table goes with the graph?
Answer:
Table B
Step-by-step explanation:
correct on edge :)
Select the correct answer from each drop-down menu. Julie invests $200 per month in an account that earns 6% interest per year, compounded monthly. Leah invests $250 per month in an account that earns 5% interest per year, compounded monthly. After 10 years, Julie's account balance will be After 10 years, Leah's account balance will be After 10 years, will have more money in her account.
the answer: $32,776 / $38,821 / leah
Answer:
After 10 years, Julie's account balance will be $ 363.88 and Leah's account balance will be $ 411.75, thus Leah will have more money in her account.
Step-by-step explanation:
Since Julie invests $ 200 per month in an account that earns 6% interest per year, compounded monthly, and Leah invests $ 250 per month in an account that earns 5% interest per year, compounded monthly, to determine the amount of each after 10 years, the following calculations must be performed:
200 x (1 + 0.06 / 12) ^ 10x12 = X
200 x 1.005 ^ 120 = X
200 x 1.8193 = X
363.88 = X
250 x (1 + 0.05 / 12) ^ 10x12 = X
250 x 1.00416 ^ 120 = X
250 x 1.647 = X
411.75 = X
Therefore, after 10 years, Julie's account balance will be $ 363.88 and Leah's account balance will be $ 411.75, thus Leah will have more money in her account.
Complete the following statement.
Answer:
Hello dude
[tex] - 1 \frac{21}{24} + 1 \frac{22}{24} = + \frac{1}{24} [/tex]
so it's positive
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
verify that whether -2 and 3 are zeroes of the polynomial x^2-x=6
PLEASE HELP
Answer:
Both give remainder 0 for the polynomial
Step-by-step explanation:
p(-2) = (-2)² - (-2) - 6
= 6 - 6 = 0
p(3) = (3)² - 3 - 6
= 9 - 9 = 0
In a test of a heat-seeking rocket, a first rocket is launched at 2000 fts and the heat-seeking rocket is launched along the same flight path 20 s later at a speed of 3000 fts. Find
the timest, and t, of flight of the rockets until the heat-seeking rocket destroys the first rocket
What are the times of the flight?
Answer:
Time of flight of first rocket = 60 seconds
Time of flight of second rocket = 40 seconds
Step-by-step explanation:
Let the time of flight of first rocket be t1.
Since the second rocket is launched 20 seconds later, then it means that;
t1 = t2 + 20
Where t2 is the time of flight of the second rocket.
When destruction has occurred, it means that both of the rockets would have covered the same distance.
We know that;
Distance = speed × time
Thus;
2000t1 = 3000t2
We know that t1 = t2 + 20
Thus;
2000(t2 + 20) = 3000t2
2000t2 + 40000 = 3000t2
3000t2 - 2000t2 = 40000
1000t2 = 40000
t2 = 40000/1000
t2 = 40 seconds
Thus;
t1 = 40 + 20
t1 = 60 seconds
f(X) = 10x^3 find inverse
Answer: [tex]y=\sqrt[3]{\frac{x}{10} }[/tex]
Step-by-step explanation:
[tex]f(x)=10x^{3}\\y=10x^{3}[/tex]
switch the x and y:
[tex]x=10y^{3}[/tex]
Now solve for y:
[tex]x=10y^{3} \\\frac{x}{10} =y^{3} \\\sqrt[3]{\frac{x}{10} } =y\\[/tex]
Therefore, the inverse of that function is: [tex]y=\sqrt[3]{\frac{x}{10} }[/tex]
round 6.8 to nearest hundredth
Answer:
6.8
Step-by-step explanation:
The number is already rounded to the nearest tenth and hundredth.
Please Help
Solve 3(x+2)-4x=8
Hello!
3(x + 2) - 4x = 8 <=>
<=> 3x + 6 - 4x = 8 <=>
<=> -x + 6 = 8 <=>
<=> -x = 8 - 6 <=>
<=> -x = 2 <=>
<=> x = -2
Good luck! :)
I didn't understand this to be honest I thought I had to find what jm and lm were together and then subtract from the whole total...but ended up being wrong. whats the correct answer?
Answer:
The correct answer is 3x-2
Step-by-step explanation:
It gives you the expression for JM and LM, and it asks for JL. Therefore, if you take away LM from JM, you are left with JL. You must subtract 2x-6 from 5x-8.
∴5x-8-(2x-6)
Do not forget to distribute the negative since you are subtracting, so instead of subtracting 6 from 8, you will be adding 6 to 8 because two negatives make a positive.
Find the volume of the cone. Round to the nearest hundredth.
Answer:
Step-by-step explanation:
volume of cone=1/3 πr²h
=1/3×π×5²×11
=275/3 ×3.14
≈287.33 in³
A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?
a. 6 by 6
c4 by 9
b. 3 by 12
d. 4 and 8
Answer:
C
Step-by-step explanation:
here in the question it is given that it is four times as long as wide and its area is 36 square inches
now as we onow 3×4 =12
therefore here the side becomes four time
now area of rectangle is equal to 12 ×3 =36
When Claire chooses a piece of fruit from a fruit bowl, there is a 22% chance that it will be a plum, an 18%
chance that it will be an orange, and a 60% chance that it will be an apple. Which type of fruit is she least likely
to choose?
Answer:
Orange
Step-by-step explanation:
As the chance of choosing orange is 18% which is the least.