47.5 millimeters longer
The pencil is 47.5 millimeters longer than the crayon.
To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.
Given that length of the pencil = 13.5 centimeters
Length of the crayon = 87.5 millimeters
To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.
So, the length of the pencil in millimeters is:
13.5 centimeters × 10 millimeters/centimeter = 135 millimeters
Now we can calculate the difference in length between the pencil and the crayon:
Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters
Subtracting the lengths, we find that the pencil is:
135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.
Therefore, the pencil is 47.5 millimeters longer than the crayon.
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Consider the following simplified algebraic expression. 10 x squared y + 6 x squared minus 7 y squared minus 6 Which could be the original expression? 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared + 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x + 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 minus 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4
9514 1404 393
Answer:
(b) 8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4
Step-by-step explanation:
Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.
The appropriate choice on this list appears to be the second choice.
_____
Comment on the problem
In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.
Answer:
B
Step-by-step explanation:
i am smart
Which of the following has a prime factorization of 2 x 2 x 3 x 5?
Answer:
60
Step-by-step explanation:
Just multiply them all together.
2 * 2 * 3 * 5 = 60
Answer 60
Step-by-step explanation: 60 devided by 2 = 30
30 devided by 2 = 15
15 devided by 3 = 5
5 devided by 5 = 1
hence verified
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
a line passes through the points (4, -1) and (2, 3), what is the slope of the line?
A, 2
B, 1/2
C. -1/2
D. -2
The right answer is -2.
please see the attached picture for full solution..
Hope this helps..
Good luck on your assignment
Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition
Step-by-step explanation:
Solve |x|=5
A{-5}
B{5}
C{-5,5}
Answer:
[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]
C is your answer
Step-by-step explanation:
[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]
does anyone know this one?
Answer:
20x
Step-by-step explanation:
Step-by-step explanation:
The ? is 4 * 5x which is 20x.
A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t
Answer:
a
Step-by-step explanation:
Radical roots occur as conjugate pairs
Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then
- 5 - [tex]\sqrt{3}[/tex] t is also a root → a
Please please please help me I’m about to fail
Answer:
3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl
Step-by-step explanation:
the answer is in the top
Which multiplication equation can be used to solve
1/6 divided by 5
Answer: 1/6x1/5
You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.
Hope this helps <3
-Carrie
Be sure to mark brainliest
:)
What is the following sum in simplest form?
√8 + 3 √2+ √ 32
A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32
Answer:
C. 9√2.
Step-by-step explanation:
√8 + 3 √2+ √ 32
= √4 *√2 + 3√2 + √16*√2
= 2√2 + 3√2 + 4√2
= 9√2.
PLZ HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
1/3(6x+17)+ 1/3
Answer:
2x+6
Step-by-step explanation:
Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
€264.20
€151.40
€132.10
€66.05
Answer:
The second option, or option b
Step-by-step explanation:
200/1.321 = 151.4
Answer: € 151.40
Step-by-step explanation:
€1 = $1.321
200/1.321 = €151.40
how do i calculate the first quartile and the third quartile???
!!!please help!!!
Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99
Step-by-step explanation: Ok, so let's put the data set from least to greatest....
(63, 63, 76,) (77, 79,) (84, 99, 99)
First Quartile Third Quartile
First, let's find the median, since you made a little mistake...
77 + 79 = 156
156 ÷ 2 = 78
The median is 78!
Now, let's determine the first quartile and the third quartile.
For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...
First Quartile: 63
Third Quartile: 99
I hope this helps!
Help pure people only
Answer:
Mini golf costs $10 per round and batting cages cost $2.5 each turn.
Step-by-step explanation:
mini golf ([tex]m[/tex])
batting caves ([tex]b[/tex])
Sylvester:
[tex]5m+4b=60[/tex]
Lin
[tex]3m+6b=45[/tex]
System of equations:
[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]
[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]
[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]
[tex]18b=45[/tex]
[tex]b=2.5[/tex]
Now let's find [tex]m[/tex]
[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]
I NEED HELP QUICK! PLEASE
Answer:
(a, 0), (0, b), (-a, 0), (0, - b)
Step-by-step explanation:
Since, all vertices of the rhombus lie in the x and y axes.
x - axis is given by a and y - axis is given by b.
Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).
Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54
Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42
Answer:
42
Step-by-step explanation:
just took the quiz and got it right
Timmy likes to eat his fruit snacks in pairs, with different flavors in each pair.
The fruit snacks come in Cherry, Grape, Lemon, and Orange. Which list shows
all possible combinations of two different fruit-snack flavors?
A. CL, CO, GL, GO, LC, LO, OG, OL
B. CC, CG, CL, CO, GG, GL, GO, LL, LO, OO
C. CL, CG, CO, GL, GO, LO
D. CL, GL, LO, OC
Answer: C
Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.
OR
Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.
Cherry: CL, CG, CO
Lemon: CL, GL, OL,
Grape: GC, GL, GO
Orange: CO, GO, LO
CL, CG, CO, GL, GO, LO
The diagram shows a circle inscribed in a square.
12 m
12 m
What is the area of the shaded part of the diagram? (Use 3.14 as an estimate for 1.)
Answer:
A
Step-by-step explanation:
first lets find the area of the square
A=l*w
12*12=144 m^2
then lets find the are of the circle
A=pi*r^2
A=3.14*(d/2)^2
the diameter of the circle is 12m
A=3.14*(12/2)^2
A=3.14*(6)^2
A=3.14*36
A=113.04 m^2
Now, lets subtract the area of the circle form the area of the square
144-113.04= 30.96 m^2
So, the answer is A
how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10ft, what is the radius of the cylinder to the nearest tenth?
Answer:
=1.8
Step-by-step explanation:
R= Square root of volume/pie*height
R= 100/3.142*10
=100/31.42
=3.18
the square root of 3.18 is 1.78
1.78 rounded to the nearest tenth is 1.8
Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?
Answer:
44
Step-by-step explanation:
First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:
x/14
7 * (x/14)
eventually you get
(x-22)/2 =0
from there you can solve for 44
A truck traveling at 36 m/s heads out of town going west. How long
does it take to go 5.2 km?
HELP! WILL GIVE BRAINLIEST!
Answer: The answer is A
Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.
2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2
Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answer:
A) ΔABC ≅ ΔEDC
Step-by-step explanation:
To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.
Let's see what we have in these two triangles.
Side AB is congruent to side ED. This is one pair of sides.
Angle A is congruent to angle E. This is one pair of sides.
Now we need a second pair of angles, that will make the two sides not-included in the angles.
By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.
We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.
Answer: A) ΔABC ≅ ΔEDC
PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?
Answer:
there is only 1 but you have some left over so maybe 2
Answer:
Hey!
Your answer is about 3/2 servings!!
Step-by-step explanation:
HOPE THIS HELPS!!
Can someone please help me on these two questions?
Answer:
Arc = angle/360° x 2πr
13) = 72/360 x 2π x 25
= 1/5 x 2π x 25 = 10π
14) 270/360 x 2π x 2
= 3/4 x 4π = 3π
(ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4
Answer:
y = 3x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 4 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 6 + c ⇒ c = - 3 - 6 = - 9
y = 3x - 9 ← equation of parallel line
Figure 3:
1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total
1. 9
2. 12
3. 18
Answer:
9
Step-by-step explanation:
Workout the value of the largest angle
Step-by-step explanation:
These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.
Answer:
200
Step-by-step explanation:
The sum of the angles is 360 degrees
5b+ b+b+2b = 360
Combine like terms
9b = 360
Divide each side by 9
9b/9 = 360 /9
b = 40
The largest angle is 5b
5*40
200
ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?
Answer:
4)
Step-by-step explanation:
When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).
Areas ratio is squared to ratio of their sides, so it is not 3).
Perimeter is sum of the sides. All corresponding sides in similar triangles have the same ratio. So, answer is 4).
The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."
What is ratio?"It is the comparison of two quantities of the same kind."
For given question,
ΔABC is similar to ΔDEF.
⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]
We know, the perimeters of the similar triangles are in the same ratio as the sides.
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
The ratio of the length of AB to the length of DE is 2:1
[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]
Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
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