Answer:
We factor the number 16 into prime numbers to get their factors.
We do the same with any given number. Only if it has the same factor as 16 that numberwill be divisible by 16
Both numbers proposed (144&256) are divisible by 16
Step-by-step explanation:
To prove it we need to factor the number 16 to get their expression in prime numbers:
16 2
8 2
4 2
2 2
1
16 is equal to [tex]2^{4}[/tex]
We have to factor a number and if their factor include [tex]2^{4}[/tex] or a higher power
then, they are divisible by 16
144 2
72 2
36 2
18 2
9 3
3 3
1
144 is queal to: [tex]2^4 . 3^2[/tex] as it does have [tex]2^4[/tex] It is divisible by 16
256 2
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
256 is equal to [tex]2^8[/tex] This contains [tex]2^4[/tex] as [tex]2^8 = 2^4 . 2^4[/tex]
therefore it is divisible by 16
What is 3 over 5 + 1 over 9
Answer:
2/5
Step-by-step explanation:
3/5 + 1/9
= 12+6/45
= 18/45 which is 2/5
find the values of x and y (2y+5) + (5x-17) +( 3x-11)
Step-by-step explanation:
Hey there!!
You can simply work with it.
(5x - 17)° + (3x - 11)° = 180° { Being a linear pair}.
or, 8x - 28°= 180°
8x = 180° + 28°
[tex]x = \frac{208}{8} [/tex]
Therefore, the value of x is 26°.
Now,
3x - 11°= 3×26°-11° = 67°
Again,
67°+90°+(2y+5)° = 180° { being linear pair}.
157°+2y+5° = 180°
or, 2y + 162° = 180°
or, 2y = 180° - 162°
[tex]y = \frac{18}{2} [/tex]
Therefore, the value of y is 9°.
The value of x is 26° and y is 9°.
Hope it helps....
need an awser please help
Answer:
A
Step-by-step explanation:
Perimeter of a rectangle is 2(L+W)
2(37+28)=130 cm and the width should be less than the length by nine so 37-28=9
Mary's car can go 24 miles on one gallon of gasoline. However , her gas mileage can vary by 2 miles per gallon depending on where she drives . Write an absolute value equation that you can use to find the minimum and maximum gas mileage.
Answer: | x -24 |=2
Step-by-step explanation:
Given: Mary's car can go 24 miles on one gallon of gasoline.
her gas mileage can vary by 2 miles per gallon depending on where she drives .
i.e. either 2 miles added or subtracted in the gas mileage.
i.e. -2< Gas milegae -24 <2
⇒ | Gas milegae -24 |=2
Let x represents the gas mileage.
Then, | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.
cuál es la suma de los primeros 30 términos de la sucesión 1,2,3,4
Answer:
465
Step-by-step explanation:
1 + 2 + 3 + ... + n = n(n + 1)/2
1 + 2 + 3 + ... + 30 = 30(31)/2 = 465
1/2 + 2/3 ÷ 1/6 PLEASE HELP ASAP ASAP!!!!!!!!
Answer:
4.5
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
a rectangular picture has a length of 9 1/2 feet and width of 7 7/8 feet. How will you determine how much border is needed.
a. add 9 1/2 and 7 7/8
b. multiply 9 1/2 and 7 7/8
c. estimate with length 9 feet and width 7 feet
d.estimate with length 10 feet and length 8 feet
Answer:
c) part
Step-by-step explanation:
THIS WILL HELP ME ALOT
HELP ASAP
Which expression represents the prime factorization of 450?
A. 2 x 3 x 5 x 5
B. 2 x 2 x 5 x 5
C. 2 x 3 x 3 x 5 x 5
D. 2 x 2 x 3 x 5 x 5
Answer:
C
Step-by-step explanation:
2*3*3*5*5 =450
The temperature at 6:00p.m. was 7 degrees Celsius. The temperature dropped 2 degrees every hour. What was the temperature at 11:00 p.m.
Answer:
7 Celsius to Fahrenheit is 44.6.
There is a five hour gap.
The tempature drops two degrees per hour. So, multiply.
2 x 5 = 10.
Subtract 10 from 44.6.
You get 34.6.
34.6 is the answer.
What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6 Help quick
Answer:
x= 2.64
Step-by-step explanation:
sorry im a little late but thats the answer!
what is 12 times 12 plus 10 . the answer is 154
Answer:
Yes, that is correct.
Step-by-step explanation:
Let's start with the order of operations.
12 x 12 = 10
Are there any brackets? No.
Exponents? No.
Multiplication or division? Yes!
12 x 12 = 144
144 + 10
Addition or Subtraction? Yes!
144 + 10 = 154
So, 154 is right!
1/2(6h – 4) = -5h + 1
Answer: h= 3/8
Step-by-step explanation:
1/2 (6h-4)=-5h+1
distribute
1/2*6h+1/2*-4=-5h-1
3h+-2=-5h+1
add 5h to both sides
8h-2=1
add two to both sides
8h=3
divide both sides by 8
h= 3/8
In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
Answer:
180, same side interior, 120, incorrect
Step-by-step explanation:
Seeing that the other person failed to answer the question at all and made a worthless topic answer. I went ahead and solved it.
So all you have to know that sets stuart wrong is that angle 12 is not 69 degrees. So the dropdowns as follows. Angle 1, 7 and 8 make one triangle and have equal degrees. So 180 equals a whole triangle. Angle 12 and 8 are on the same side and inside the triangle. (Remember 1,7,8? well divide 180 by 3 and u get angle 8 being 60. Same as angle 7. The interior trapezoid will be 60+60+120+120=360.) Angle 12= 120 thus Stuart is wrong.
The reasoning that may be used for finding the measure of m∠12, is the
same side interior angles theorem.
The correct options using the drop-down menu are;
The sum of ∠1, ∠7, and ∠8 is 180°∠8 and ∠12 are same side interior anglesThe measure of ∠12 must be = 120°Stuart is not correctReasons:
Given parameters;
Line x ║ line y
m∠1 = 65°, m∠7 = 55°
m∠12 = 60°
Stuart states ∠12 = 60°
The reasoning is presented as follows;
Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°
Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles
Step 3: So, m∠12 = 60°
Using the drop-down menu, we have;
The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)
∠8 and ∠12 are same side interior angles (by definition)
Same side interior angles are supplementary, therefore;
∠8 +∠12 = 180°
∠12 = 180° - ∠8
Which gives;
The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°
The measure of ∠12 must be = 120°
Stuart is not correct
Learn more about angles formed between parallel lines and a transversal here:
https://brainly.com/question/2633335
PLZZZZ HELP ME!!!!! I WiLL MARK U AS BRAINLIEST
Answer:
Step-by-step explanation:
I would say you can distribute the money by saving $25 dollars for your medium and log term and $50 for your short term. Because you will eventually raise enough from your paycheck to get your laptop. Then, once you get your laptop you put more money to your other terms.
11. A bottle of shampoo cost $7. You have $16 and a coupon for a
$5 discount at Walmart. How many bottles of shampoo can
you buy?
I
Answer:
3 bottles
Step-by-step explanation:
you equation is 7x-5=16
you add 5 to both sides which gets you 7x=21
then you divide 7 by both sides that gets you x=3
For the following questions use the points (1,5) and (6,8) What is the slope for the two points?
3 times an unknown number is 21. Find the unknown number. The unknow number is
Answer:
The answer is 7
Step-by-step explanation:
Because 7 times 3 will give you 21, just divide 21 by 3.
Answer:
The answer is 7
Step-by-step explanation:
7+7+7=21
3×7=21
-0.8 x 1.8 x (-0.5)=
[tex]\rm{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]
- 0.8 × 1.8 × (-0.5)
= -0.8 × (-0.5) × 1.8
[ - ] × [ - ] = [ + ]= + 0.4 × 1.8
= 0.72
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?
Answer:
2
Step-by-step explanation:
Given the question :
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?
Number of granolas = 6
Number of dried fruits = 10
Since the snackbag is to be designed in such a way that there should be no food leftover, the greatest number of snack bags Serena can make could be obtained by getting the highest common factor of (6 and 10)
____6____10
2___3____5
Here, the highest common factor of 6 and 10 is 2
Hence, the greatest number of snack bags she can make is 2.
Solve and graph the inequality. −22<4x−2≤10
Step-by-step explanation:
-22 < 4x - 2 ≤ 10
-20 < 4x ≤ 12
-5 < x ≤ 3
Place elementary school is raising money. they raise $90 a week. how long will it take to raise $900?
Answer: It will take 10 weeks! :)
Step-by-step explanation:
So let's look at this together.
The question states that they raise 90$ per week.
There's two ways you can do this
You can multiply,
Think, what times 90 will equal 900? The answer is 10!
90 x 10= 900!
(if you need help with multiplication, let me know)
Or you can divide.
900/90=10!
(if you need help with division, let me know)
So it would take, in total, 10 weeks to raise 900 dollars.
Point W is on line segment V X. Given W X = 2 and V X = 17, determine the
length VW.
Answer:
VW = 19 units
Step-by-step explanation:
Here, we are to determine the value of the length of VW
Mathematically;
VW = VX + WX
VW = 17 + 2
VW = 19 units
is 89.396668 ratinal or irrational
Answer:
The number is rational
Step-by-step explanation:
89.396668 is terminating decimal number
Therefore it is rational.
Answer:it is a rational number
Please answer the question in the pictures.
1. Alternate exterior angles
2. Vertical angles
3. Alternate interior angles
Hope that helped :)
in the following figure, how many planes are shown
Answer:
5 planes
Step-by-step explanation:
A plane is a surface joining three points.
Planes are the flat two dimensional surfaces which extends infinitely far.
From the figure attached planes are,
ABC, DEF, ABE, BCD, ACD
Therefore, there are five planes shown in the given picture attached.
There are (43)2 ⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm? (1 point) 3,2,and0 are above four
Step-by-step explanation:
40 strawberries in the farm
Answer:
46
Step-by-step explanation:
There are 46 of straws on the farm
What is the probability that the following would occur ? A spinner with 4 equally spaced sections numbered 1 through 4 is spun and lands on 1 , then a die is tossed and rolls a 1
The spinner alone: 1/4
The dice alone: 1/6
Together: 1/4*1/6=1/24
1/24
Which number is not in scientific notation?
0.95 ⋅ 108
1.1 ⋅ 105
7.00 ⋅ 108
9.9 ⋅ 10−28
Answer: I think the answer is 9.9 . 10-28
Answer:
The 7.00 and 10^8 is not in scientific notation because 7.00 can be written as 7 in scientific notation.
Which represents the solution set of the inequality 5x-9<21
Answer:
x < 6
Step-by-step explanation:
5x -9 < 21
then add 9 to both sides
5x< 30
divide by five
x<6
M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B
Answer:
(4,6)
Step-by-step explanation:
1. Midpoint formula:
[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]2. Find [tex]x_2[/tex]:
[tex]x_m=\frac{x_1+x_2}{2}[/tex] [tex]2=\frac{0+x_2}{2}[/tex] [tex]x_2=4[/tex]3. Find [tex]y_2[/tex]:
[tex]y_m=\frac{y_1+y_2}{2}[/tex] [tex]5=\frac{4+y_2}{2}[/tex] [tex]y_2=6[/tex]4. Coordinates of B:
[tex](x_2, y_2)=(4,6)[/tex]